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ifth root of 301607797 to the nearest integer?
50
What is the fourth root of 612686660 to the nearest integer?
157
What is the third root of 15600595 to the nearest integer?
250
What is the third root of 1630520988 to the nearest integer?
1177
What is 120092667 to the power of 1/3, to the nearest integer?
493
What is the third root of 911181013 to the nearest integer?
969
What is the cube root of 244543792 to the nearest integer?
625
What is 161227630 to the power of 1/2, to the nearest integer?
12698
What is the square root of 1205064483 to the nearest integer?
34714
What is 223056014 to the power of 1/7, to the nearest integer?
16
What is the square root of 66226473 to the nearest integer?
8138
What is the square root of 3168459176 to the nearest integer?
56289
What is the ninth root of 1867931192 to the nearest integer?
11
What is the square root of 1004325298 to the nearest integer?
31691
What is 1132108416 to the power of 1/3, to the nearest integer?
1042
What is 76804774 to the power of 1/2, to the nearest integer?
8764
What is 7846421 to the power of 1/5, to the nearest integer?
24
What is 14601177 to the power of 1/2, to the nearest integer?
3821
What is the square root of 791659259 to the nearest integer?
28136
What is the square root of 443848143 to the nearest integer?
21068
What is the ninth root of 100261796 to the nearest integer?
8
What is the third root of 2066947244 to the nearest integer?
1274
What is 5434678353 to the power of 1/2, to the nearest integer?
73720
What is the seventh root of 2389485394 to the nearest integer?
22
What is 152879003 to the power of 1/3, to the nearest integer?
535
What is the cube root of 4671526832 to the nearest integer?
1672
What is the eighth root of 67109554 to the nearest integer?
10
What is the fifth root of 287819318 to the nearest integer?
49
What is the fourth root of 444326378 to the nearest integer?
145
What is 1188817797 to the power of 1/5, to the nearest integer?
65
What is the fourth root of 3975905992 to the nearest integer?
251
What is the square root of 727143776 to the nearest integer?
26966
What is 17436955 to the power of 1/3, to the nearest integer?
259
What is the cube root of 1688379253 to the nearest integer?
1191
What is 257988505 to the power of 1/7, to the nearest integer?
16
What is the square root of 1789066109 to the nearest integer?
42297
What is the tenth root of 73772879 to the nearest integer?
6
What is the square root of 479009607 to the nearest integer?
21886
What is 1176626318 to the power of 1/6, to the nearest integer?
32
What is 2002061141 to the power of 1/3, to the nearest integer?
1260
What is the third root of 19638537 to the nearest integer?
270
What is 178908107 to the power of 1/2, to the nearest integer?
13376
What is 291562122 to the power of 1/3, to the nearest integer?
663
What is 40149877 to the power of 1/4, to the nearest integer?
80
What is 250524521 to the power of 1/2, to the nearest integer?
15828
What is the eighth root of 46084995 to the nearest integer?
9
What is 21537171 to the power of 1/7, to the nearest integer?
11
What is 125039287 to the power of 1/5, to the nearest integer?
42
What is 53825633 to the power of 1/2, to the nearest integer?
7337
What is 434073968 to the power of 1/3, to the nearest integer?
757
What is 205288884 to the power of 1/6, to the nearest integer?
24
What is 166183208 to the power of 1/8, to the nearest integer?
11
What is 33022422 to the power of 1/3, to the nearest integer?
321
What is 258930934 to the power of 1/9, to the nearest integer?
9
What is the square root of 1264718320 to the nearest integer?
35563
What is the ninth root of 49794159 to the nearest integer?
7
What is 41696303 to the power of 1/3, to the nearest integer?
347
What is 1043955883 to the power of 1/10, to the nearest integer?
8
What is the square root of 1732574048 to the nearest integer?
41624
What is the cube root of 1033629899 to the nearest integer?
1011
What is the sixth root of 833108855 to the nearest integer?
31
What is the ninth root of 80391758 to the nearest integer?
8
What is 6051375288 to the power of 1/8, to the nearest integer?
17
What is the fifth root of 199677405 to the nearest integer?
46
What is the cube root of 86655917 to the nearest integer?
443
What is the cube root of 877921712 to the nearest integer?
958
What is the ninth root of 43988550 to the nearest integer?
7
What is the third root of 43151842 to the nearest integer?
351
What is 2703338886 to the power of 1/2, to the nearest integer?
51994
What is the square root of 68594448 to the nearest integer?
8282
What is 1167279462 to the power of 1/3, to the nearest integer?
1053
What is 94174913 to the power of 1/9, to the nearest integer?
8
What is 4880812975 to the power of 1/2, to the nearest integer?
69863
What is 368206939 to the power of 1/2, to the nearest integer?
19189
What is 1834405423 to the power of 1/3, to the nearest integer?
1224
What is the cube root of 4648549145 to the nearest integer?
1669
What is 105353603 to the power of 1/2, to the nearest integer?
10264
What is 66024257 to the power of 1/3, to the nearest integer?
404
What is 234474729 to the power of 1/5, to the nearest integer?
47
What is 528322932 to the power of 1/7, to the nearest integer?
18
What is the seventh root of 5374475103 to the nearest integer?
25
What is the square root of 1629603012 to the nearest integer?
40368
What is the cube root of 6628208900 to the nearest integer?
1878
What is the square root of 3551948368 to the nearest integer?
59598
What is the fifth root of 2305436277 to the nearest integer?
75
What is the cube root of 41921909 to the nearest integer?
347
What is 45530824 to the power of 1/10, to the nearest integer?
6
What is the square root of 1908395085 to the nearest integer?
43685
What is the third root of 3738995975 to the nearest integer?
1552
What is the square root of 831424796 to the nearest integer?
28834
What is 158861648 to the power of 1/2, to the nearest integer?
12604
What is the cube root of 2392496135 to the nearest integer?
1337
What is the square root of 23013185 to the nearest integer?
4797
What is the ninth root of 693404 to the nearest integer?
4
What is the square root of 2878524321 to the nearest integer?
53652
What is the square root of 302503754 to the nearest integer?
17393
What is 679902461 to the power of 1/2, to the nearest integer?
26075
What is the eighth root of 17790378 to the nearest integer?
8
What is the third root of 6108211 to the nearest integer?
183
What is 90218375 to the power of 1/8, to the nearest integer?
10
What is the fifth root of 598418930 to the nearest integer?
57
What is the square root of 8696586 to the nearest integer?
2949
What is 67657429 to the power of 1/2, to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
8/6*(-15)/(-10)?
False
Suppose -546 = 17*k - 24*k. Does 22 divide k?
False
Let l(r) = r**2 + 72. Is 24 a factor of l(0)?
True
Suppose 3*z - 20 = 70. Is z a multiple of 15?
True
Let h(t) = -7*t. Let g = -14 + 9. Let k be h(g). Suppose 23 = a - b, -2*a + k = b - 20. Is 12 a factor of a?
False
Let m be 9/(-6)*16/(-6). Suppose -m*x = -50 - 90. Does 15 divide x?
False
Let m(x) = -11*x - 2. Let u be m(-3). Suppose 17 = 4*t - u. Is t a multiple of 5?
False
Suppose -r - 4*f + 50 = 0, 0 = 3*f + f. Suppose 0 = -n - n + r. Suppose -4*l - l = -d + n, l = 5*d - 101. Is d a multiple of 9?
False
Let y(c) = 4*c**2 + 15*c + 1. Is y(-12) a multiple of 10?
False
Let s be 0/(4 + 9/(-3)). Suppose s = -o + 6*o - 30. Is 4 a factor of o?
False
Let h = 655 - 392. Suppose -5*m = -h - 12. Does 11 divide ((-14)/(-35))/(1/m)?
True
Let i = -16 - -2. Let j = i + 24. Suppose -2*l = -0*l - j, 4*x = -l + 85. Is x a multiple of 10?
True
Suppose 0 = -f + 3*d + 1, -5*d + 3 - 2 = -f. Does 13 divide 927/36 - (-1)/f?
True
Suppose u = -2*a - 249 + 1273, 0 = -3*u + 12. Is 15 a factor of a?
True
Let i = 4 + 3. Does 14 divide (43/i + -1)*7?
False
Is 5 a factor of 7018/88 + -2*2/(-16)?
True
Suppose 0*p - 270 = 4*s + 2*p, 0 = -p - 3. Is s*(-3 + 5)/(-4) a multiple of 14?
False
Suppose 0 = 5*j - 12 - 3. Suppose 165 = j*q - 0*q. Let r = -37 + q. Does 18 divide r?
True
Suppose -5*t - 27 = -4*v, 3*t - 20 = 7*t - 4*v. Let h = 23 + t. Does 6 divide h?
False
Let t(a) = 3*a**3 - 3*a**2 + 2*a - 1. Let h be t(2). Let g = h - 9. Does 2 divide g?
True
Let l(u) = u**3 - 7*u**2 - 18*u - 4. Let d be l(9). Does 17 divide d/(-18) - (-3728)/72?
False
Let o = 61 - 41. Suppose -o = 4*d, -2*c + 4*c - 3*d = 31. Is c a multiple of 4?
True
Suppose 0 = 4*r - 267 + 75. Is 16 a factor of r?
True
Suppose -2*s + 13 + 111 = 0. Is s a multiple of 16?
False
Let o(x) = x**3 - 9*x**2 - 5*x + 21. Is 16 a factor of o(11)?
True
Let z(o) = 3*o**2 + 3*o - 2. Suppose 0 + 8 = 4*p. Does 6 divide z(p)?
False
Suppose -2*u + 48 - 2 = 0. Does 4 divide u?
False
Suppose 5 = 3*y - 7. Suppose 6 = 2*v + 4*w, 5*v + y*w + 0*w - 3 = 0. Is 4 a factor of v/(((-6)/(-45))/(-2))?
False
Let c = 416 + -235. Let r = -104 + c. Does 31 divide r?
False
Let f be 2*(12/3)/1. Suppose f = -2*b, m + 3 = -b - b. Let h = m + 4. Does 3 divide h?
True
Suppose -2 + 4 = x. Suppose -3*l - 4*q = -36, 2*l + 4*q = x*q + 24. Does 4 divide l?
True
Suppose 124 = 3*g + 5*j - 270, 0 = g + 3*j - 130. Is g a multiple of 23?
False
Let k = 255 - 120. Is k a multiple of 15?
True
Let h = -2 - -7. Suppose 5*a + 10 = -z - 2*z, h*z + 3*a = -6. Suppose -5*d - 4*b + 128 = z, 5*b + 31 = 2*d - 7. Is 13 a factor of d?
False
Suppose 3*t = -5*o + 4*t - 37, 1 = -2*o + 5*t. Let b = o + 32. Is 18 a factor of b?
False
Suppose -4*s - 20 = s. Let c = 9 - -1. Let i = s + c. Is i a multiple of 6?
True
Let t(r) = r**2 - 6*r + 6. Let u be t(6). Suppose u = b - 2. Is 3 a factor of b?
False
Let g be (3/(-5))/((-5)/75). Suppose -s + 2*s - g = -2*t, 5*s - 3 = 4*t. Suppose -2*k + 8 = 0, q + s*k - 17 = 18. Does 8 divide q?
False
Let h(c) = -c**3 + 3*c**2 + 6*c - 3. Suppose -2*b + 28 = -4*n, -3*b + 4*n = b - 36. Does 4 divide h(b)?
False
Let z be (5/(-2))/(2/(-4)). Suppose -z*y + 140 = 5*f - 0*y, f - 2*y = 25. Suppose 0*g - f = -3*g. Is 7 a factor of g?
False
Let i = 61 + -25. Let o = i + -16. Is o a multiple of 10?
True
Let k(z) = 2*z + 1. Let o = 9 - 6. Let r be k(o). Suppose r*u = 10*u - 60. Is u a multiple of 7?
False
Let t = 7 + 105. Does 56 divide t?
True
Suppose 0 = -5*j - 2*w + 12 + 16, 4*j - 32 = -4*w. Suppose -6 = j*d - 14, 46 = l + 5*d. Does 13 divide l?
False
Let y(r) = -3*r**2 - r. Let x be y(1). Let n = 11 - x. Does 11 divide n?
False
Is (13 - 1)/(6*5/300) a multiple of 40?
True
Suppose -5*d + 20 = 0, -f = 4*d - 3 - 15. Suppose -q - f*q = -69. Is q a multiple of 9?
False
Let f(b) = 3*b - 11. Let y(j) = -2*j + 10. Let w(s) = -3*f(s) - 4*y(s). Let z be w(-5). Does 5 divide (6/5)/(z/(-10))?
False
Let o(f) = -f**2 + 13*f + 18. Suppose -2*l = l - 39. Is o(l) a multiple of 6?
True
Let r = -3 + 7. Suppose -5*v = -15, h + h + r*v - 128 = 0. Is 20 a factor of h?
False
Let g = -1 - -13. Suppose r + r = g. Is r a multiple of 6?
True
Let w = 112 + -157. Is 19 a factor of (-9)/w - 588/(-10)?
False
Suppose -2*b - 4*i = 25 - 187, -3*b - 2*i = -247. Suppose 4*h - 41 = b. Does 14 divide h?
False
Let h(d) = -d**2 - 6*d + 9. Let y = 11 + -18. Let i be h(y). Suppose -i*m + m + 17 = 0. Is 6 a factor of m?
False
Suppose -10*k - 273 + 713 = 0. Is k a multiple of 11?
True
Let t(m
|
{
"pile_set_name": "DM Mathematics"
}
|
s 1463 + 5?
1468
In base 10, what is -3 - -10?
7
In base 2, what is 100 - 11010?
-10110
In base 4, what is 200 - 22?
112
In base 11, what is 232 - -4?
236
In base 11, what is 0 - 495?
-495
In base 4, what is 10 - -122?
132
In base 15, what is 66a - 4?
666
In base 9, what is 20 - 11?
8
In base 3, what is 100110101 - 2?
100110022
In base 3, what is -12221102 + 10?
-12221022
In base 15, what is 1 - a8?
-a7
In base 12, what is 0 + 490?
490
In base 8, what is 2 - -21?
23
In base 4, what is 1 - 11102?
-11101
In base 16, what is -d - -1b?
e
In base 8, what is 1 + -347?
-346
In base 2, what is -10001111001011 + 100?
-10001111000111
In base 7, what is 10600 + 3?
10603
In base 10, what is -8637 - -4?
-8633
In base 11, what is -202 - 3?
-205
In base 8, what is -21 + 30?
7
In base 7, what is -31 + 11?
-20
In base 4, what is 303 - -12?
321
In base 4, what is -131 + 233?
102
In base 3, what is -211100211 - -2?
-211100202
In base 15, what is -b - -6?
-5
In base 12, what is -8 - -154?
148
In base 5, what is 300 + -221?
24
In base 14, what is 25b1 - -3?
25b4
In base 11, what is -2 - -42a8?
42a6
In base 10, what is 26 - -204?
230
In base 6, what is -11125 + 1?
-11124
In base 12, what is 311 + -4?
309
In base 8, what is -1 + 133?
132
In base 10, what is 6253 + 0?
6253
In base 12, what is 5 - 153?
-14a
In base 5, what is 3 + 4344?
4402
In base 5, what is -10 - 21442?
-22002
In base 11, what is 151 + -1?
150
In base 2, what is 10 + -100110?
-100100
In base 9, what is -5256 + 0?
-5256
In base 11, what is -3 + 179?
176
In base 8, what is 1270 - -3?
1273
In base 7, what is 2 - -340?
342
In base 13, what is 32 - -2?
34
In base 6, what is 0 + -151?
-151
In base 12, what is -2a70 + -1?
-2a71
In base 12, what is -6 + 20?
16
In base 6, what is -4032 + -2?
-4034
In base 15, what is 1 + a1?
a2
In base 8, what is 67 - -543?
632
In base 3, what is 1012 - -11?
1100
In base 3, what is 11 + 101012?
101100
In base 6, what is -1 - 1203?
-1204
In base 13, what is 2c19 + 1?
2c1a
In base 4, what is 1 - 32021?
-32020
In base 13, what is -1c1 + -4?
-1c5
In base 16, what is 7a + d?
87
In base 9, what is 11 + 1267?
1278
In base 5, what is 413 + 2?
420
In base 12, what is 4b41 - -5?
4b46
In base 3, what is 2212 - -2112?
12101
In base 9, what is 4 - -37?
42
In base 15, what is -3 - 25d?
-261
In base 11, what is 663 + 14?
677
In base 4, what is 31 - -121?
212
In base 14, what is 9 + b6?
c1
In base 8, what is -5 + 101?
74
In base 5, what is -4 + -3314?
-3323
In base 13, what is 4 + 66?
6a
In base 11, what is 70 - 6a?
1
In base 11, what is -16 - 2?
-18
In base 3, what is -2020 + 112221?
110201
In base 8, what is 33 + -60?
-25
In base 2, what is 11010111111100 + -100?
11010111111000
In base 2, what is 11101111 - -1111?
11111110
In base 2, what is 11 - 11000?
-10101
In base 10, what is 31 + 131?
162
In base 14, what is 2 - 4?
-2
In base 2, what is -100101 - 100011?
-1001000
In base 14, what is -1 + 106?
105
In base 8, what is -46 + 5?
-41
In base 11, what is 81 + 13?
94
In base 16, what is 78f + -3?
78c
In base 11, what is -1007 - 4?
-1010
In base 7, what is 4 - -1610?
1614
In base 10, what is 10 - -50?
60
In base 9, what is -5 - 3?
-8
In base 16, what is 1 - 113?
-112
In base 5, what is -111 + -2?
-113
In base 6, what is 0 + 14?
14
In base 7, what is -352 + -141?
-523
In base 14, what is cc + -4?
c8
In base 16, what is 10 - -14?
24
In base 10, what is 3 - 66?
-63
In base 13, what is -9 + -1?
-a
In base 7, what is 2 + 64?
66
In base 12, what is -382 + 4?
-37a
In base 4, what is 3 - -13?
22
In base 14, what is -b + 53?
46
In base 3, what is -11 + 10212?
10201
In base 13, what is -154 - 3?
-157
In base 12, what is 7 - -16?
21
In base 14, what is -d8 - 0?
-d8
In base 10, what is -8 - 28?
-36
In base 12, what is -a49 - 2?
-a4b
In base 6, what is 5 - -14?
23
In base 16, what is 6 + 7?
d
In base 14, what is -3901 - 4?
-3905
In base 8, what is -3 - -1745?
1742
In base 14, what is d3 + -b?
c6
In base 5, what is 4 - 204?
-200
In base 8, what is 1006 + -17?
767
In base 9, what is 47 + -580?
-532
In base 14, what is -818 - -1?
-817
In base 4, what is -10 - -1232202?
1232132
In base 11, what is -4 - -159?
155
In base 11, what is -18 - -12?
-6
In base 6, what is -10 - -2010?
2000
In base 13, what is 18ab - 4?
18a7
In base 6, what is -10 + 35?
25
In base 5, what is 131131 + 10?
131141
In base 8, what is 3 - 12275?
-12272
In base 6, what is 235 - 433?
-154
In base 3, what is -10 - 20002?
-20012
In base 11, what is 509 + 4?
512
In base 8, what is -4 + -1370?
-1374
In base 14, what is 533 - 1?
532
In base 5, what is 2 + -3303?
-3301
In base 3, what is 11 - 2110?
-2022
In base 5, what is 4 - 4111?
-4102
In base 11, what is -5
|
{
"pile_set_name": "DM Mathematics"
}
|
t t be x(-6). Suppose t*n - n + 60 = 0. What is the units digit of 210*((-56)/n)/7?
4
Suppose 48*l = 21*l + 135918. What is the tens digit of l?
3
Suppose -183465 = -25*k - 21*k - 13817. What is the units digit of k?
8
Let j be (-1328)/(-10) + (-68)/(-340). Let t = 155 - j. What is the tens digit of t?
2
Let n(f) = -f**2 - 6*f - 7. Let i be n(-3). What is the hundreds digit of 435/(-174) - (-291)/i?
1
Let d be (-17 - 1424/(-80))/((-2)/(-90)). Suppose d*l - 29026 = -8686. What is the hundreds digit of l?
5
Let s(f) = 8*f**3 + 5*f**2 - 3*f - 21. Let o be 6/4 + (-5)/(-2). What is the units digit of s(o)?
9
Suppose 0 = 42*s - 37*s - 4*q - 66, -4*s + q + 44 = 0. Suppose 8*c - s*c + 2350 = -4*k, 2*k = 2*c - 2348. What is the tens digit of c?
7
Suppose 727014 - 169164 = 75*m. What is the units digit of m?
8
Let j = -818 + 8356. What is the tens digit of j?
3
Let s = 6 + -53. Let q = 135 + s. What is the units digit of q?
8
Suppose 0 = 9*p - 4*p + 4*a - 63419, -50760 = -4*p + 3*a. What is the units digit of p?
7
Let i(h) = 134*h**2 + 7*h - 4. What is the ten thousands digit of i(9)?
1
Let g = 138 - 99. Suppose -4*u + 31 = -5*m, 4*u + 9*m = 6*m + g. Suppose u*o + 1239 = 16*o. What is the hundreds digit of o?
1
Let q(p) = -p**2 + 12. Let z be q(4). What is the tens digit of z*((-3896)/16 + -2)?
8
Let j(t) = -24*t - 48. Let u be j(-14). Suppose -10*v - u + 3808 = 0. What is the hundreds digit of v?
3
Suppose -2*j = 2*s + 4, 14*j = 4*s + 10*j - 8. Suppose -1950 = -2*c - 3*z, -4*c - 14*z + 10*z + 3904 = s. What is the hundreds digit of c?
9
What is the thousands digit of ((-80894)/440*104)/((-4)/10)?
7
Let t = 101 - 101. What is the units digit of (8445/(-30))/(1/(-2) - t)?
3
Let x = 66258 - 38978. What is the thousands digit of x?
7
Let v = 362 - 32. Suppose v = 4*i - 1314. What is the tens digit of i?
1
Let t be (40/100)/((-4)/30). Let d(v) = 9*v**2 + 9*v - 4. What is the tens digit of d(t)?
5
Let c(f) = -23*f + 69. Let w be c(8). Let l = w - -452. What is the hundreds digit of l?
3
Suppose 2*l = 5*x - 35, 5*x - 7 = -4*l - 2. Suppose -20 = 3*a - 8*a. Suppose -a*i + 12 = o + i, x*i = -15. What is the tens digit of o?
2
Let c = -15811 - -16348. What is the tens digit of c?
3
What is the hundreds digit of (838857/105 - 10/(-35)) + (-18)/(-30)?
9
Let u = -101 - -107. Let g(h) = 0*h - 7*h - u*h + 2*h + 26. What is the units digit of g(-13)?
9
Let s(b) = -13*b + 11. Let l(u) = -6*u + 5. Let o(z) = -7*l(z) + 3*s(z). Let h be o(-6). Let k = h + 69. What is the units digit of k?
9
Let k be (6/(-4))/(6/(-17736)*1). Suppose 6*p = k - 72. Suppose -2*z = -4*q + p - 51, -5*q + 845 = -2*z. What is the units digit of q?
9
Let m(y) = y**3 + 56*y**2 - 31*y + 2. What is the hundreds digit of m(-28)?
8
Let z = -19255 - -30728. What is the hundreds digit of z?
4
Suppose 57 + 268 = 5*y. Let i = 49 + y. What is the hundreds digit of i?
1
Let r(i) = 365 - 22*i**2 - 39*i**2 + 59*i**2 + 4*i + i**3. What is the tens digit of r(0)?
6
What is the tens digit of (-19 + -3555)/(-4 - -3)?
7
Let z(c) = -7*c + 289. Let p be (0 - (-9)/(-21)) + 3/7. What is the hundreds digit of z(p)?
2
Let r = 1768 + -592. Suppose 84*h = 86*h - r. Suppose 4*y - y = h. What is the units digit of y?
6
Suppose 3*m + 6075 = 3*v, -7476 - 2649 = -5*v + m. What is the tens digit of v?
2
Let t = -29 - -33. Suppose -s - m - 12 = s, -12 = -s + t*m. What is the tens digit of (-13128)/(-216) - s/18?
6
Suppose -18*w + 220001 = -33385. What is the tens digit of w?
7
Let s = 6101 - 3847. Let c = s - 303. What is the thousands digit of c?
1
Let s = -8032 + 18125. What is the ten thousands digit of s?
1
Let y(x) = 9 - 8*x + 7*x**2 - 9*x**2 + 6*x**2 - 2 + x**2. Suppose 2*d - 3*q = -0*d + 2, 5*d + 37 = -3*q. What is the tens digit of y(d)?
7
Suppose -4 = d - 3*i, -2*d - 4*i = i - 14. Suppose -u - 110 = 2*u + d*o, u + 35 = o. Let j = 54 + u. What is the units digit of j?
8
What is the units digit of 2796 - -2 - 246/82?
5
What is the units digit of (6 - -98268)*(10 - (-472)/(-48))?
9
Let t(m) = 2*m**2 - 31*m + 224. Suppose -3*a - 41 = -c, 3*c + 4*a = -a + 67. What is the thousands digit of t(c)?
1
Let q(m) = -3*m**2 - 34*m - 36. Let o be q(-9). What is the tens digit of 9/o + 8/36*1497?
3
Let s = -34673 - -73599. What is the ten thousands digit of s?
3
What is the tens digit of (-36)/(-60)*2335 + -3?
9
What is the units digit of ((8 - 0) + 13161)*1 + 3*3?
8
Let g(q) = -q - 324. Let v(i) = i + 648. Let r(t) = 11*g(t) + 6*v(t). What is the units digit of r(-44)?
4
Let c be (-1 - -2) + (0 - 12). Let i(w) = 94*w + 84*w + 5 - 183*w. What is the units digit of i(c)?
0
Let f be (-399)/((-15)/(-5)) + -1. Let v = -19 + -62. Let k = v - f. What is the units digit of k?
3
Let f(u) = 855*u**2 - 55*u + 37. What
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when p is divided by ((-70)/(-30))/(5/45 - 0).
16
What is the remainder when 152 is divided by ((-242)/33 - -7)*-117?
35
Suppose 0 = -m - 2*m + 183. Suppose -5*a - 16 = d - 64, -42 = -4*a + d. Calculate the remainder when m is divided by (a/(-15))/((-50)/48 + 1).
13
Let q(n) = 2*n**3 - 3*n**2 - 3*n. Suppose -o + 17 = 3. Let i = o - 7. Calculate the remainder when q(3) is divided by i.
4
Let i(d) = -d - 33 + 11 + d + 5*d. What is the remainder when i(12) is divided by 13?
12
Let h = 0 + 49. What is the remainder when h is divided by 28?
21
Suppose -n = 6 - 5. Let h = 10 + n. What is the remainder when h is divided by 3?
0
Let m(w) = 91*w**3 - 3*w**2 + 2*w - 2. What is the remainder when m(2) is divided by 48?
46
Let k(i) = 2*i**2 + 57*i + 295. Calculate the remainder when k(-32) is divided by 87.
84
Let c be (4 + (-4 - -22))/(-2). Calculate the remainder when 88 is divided by 328/18 + c/9 + 1.
16
What is the remainder when (-5)/15 + 2/((-30)/(-455)) is divided by 30?
0
Let o(l) = 46*l + 342. Calculate the remainder when 75 is divided by o(-7).
15
Let r(k) = k**3 + 11*k**2 + 18*k - 30. What is the remainder when 267 is divided by r(-8)?
15
Suppose 0 = -u + 22 - 1. Suppose -30*h - 156 = -34*h. What is the remainder when h is divided by u?
18
Calculate the remainder when 77 is divided by (4/(-40))/((-8)/160).
1
Let t = -2515 - -2529. Calculate the remainder when 2966 is divided by t.
12
Let x be (605/20)/((-10)/(-8) - 1). Suppose 119 + x = 8*z. Calculate the remainder when z is divided by 16 + -1*(-1 + 1).
14
Suppose 3*a - 8*a + 80 = 0. Let k = a + 8. Calculate the remainder when 46 is divided by k.
22
Suppose 26 = -0*r + r. Suppose -74 = -5*i - k + 11, -3*i + 59 = -k. What is the remainder when r is divided by i?
8
Let a = 835 + -766. What is the remainder when 181 is divided by a?
43
Let f(p) = -7*p + 66. What is the remainder when 98 is divided by f(7)?
13
Suppose -18*g = -6*g + 4008. What is the remainder when 79 is divided by g/(-16) - (-6)/48?
16
Let f(n) = 2*n - 2. Let t be f(6). Suppose -32 = 3*y + t. Let h = -6 - y. Calculate the remainder when 13 is divided by h.
5
Suppose -4*s + 2*s + 4 = 0. Suppose -w + 3 + s = 0. Suppose -26 = -31*l + 18*l. Calculate the remainder when w is divided by l.
1
Let s(n) = -2*n + 6 + 14 - 10 + 28. Calculate the remainder when s(-15) is divided by 14.
12
Calculate the remainder when 43 is divided by ((-25)/(-7) + -1)*(-392)/(-84).
7
Suppose -5*a + 2*m = 3*m + 172, 5*a - 5*m + 160 = 0. Let r = 134 + a. Calculate the remainder when r is divided by 17.
15
Suppose -18*q - 129 = -1695. Calculate the remainder when q is divided by 27.
6
Let c(o) = -o**2 + 7*o + 16. Let j be c(12). Let g = -26 - j. Calculate the remainder when 89 is divided by g.
17
Suppose 0 = -210*t + 202*t + 232. Calculate the remainder when 72 is divided by t.
14
Let o(n) = n**2 + 6*n - 37. Let j(s) = s**3 + 9*s**2 + s + 3. What is the remainder when j(-6) is divided by o(-11)?
15
Suppose 3*n - 11 = -b, -n + 0*n - b = -7. Let w(i) = i**2 + 5 + 10*i**3 - 14 + 4 + 3. What is the remainder when w(n) is divided by 14?
12
Let c = 0 - -1. Let m = 6 + 0. Calculate the remainder when m is divided by c.
0
Suppose -4*l - 4 = -3*y + 3, -2*y + 18 = 4*l. Suppose 0 = -l*k - 3*k + 35. Calculate the remainder when 18 is divided by k.
4
Let t = -229 - -307. Calculate the remainder when t is divided by 23.
9
Let t(y) = -y**2 + 15*y - 11. Let q be t(14). Suppose -20 = -q*x - x + 4*f, 2*x - 5*f = 19. Calculate the remainder when (2/3)/(1/9) is divided by x.
0
Let m = 1 - -4. Let c be ((-8)/10 + 2)*m. Suppose 2*b - c*v + 2*v - 2 = 0, b + 5*v = 29. Calculate the remainder when b is divided by 5.
4
Suppose 39*y = 36*y - 240. Let t = -60 - y. What is the remainder when 28 is divided by t?
8
Let j(a) = -34*a**3 - a**2 + 2. Let o = -29 - -27. Let s be j(o). What is the remainder when s/8 - 9/12 is divided by 12?
9
Let l = 94 - 91. Suppose 4*j = 3*p + 3*j - 89, 2*p = l*j + 50. Suppose -3*n + 44 = 4*v, 2 + 2 = -2*n + 4*v. Calculate the remainder when p is divided by n.
7
Let q = 78 + -43. What is the remainder when q is divided by (110/35 - 4) + (-1824)/(-168)?
5
Suppose -2*r + 2100 = 58*r. What is the remainder when r is divided by 28?
7
Let x = -87 - -89. What is the remainder when 25 is divided by x*(-2)/4 + 13?
1
Let r be (-1)/(-3) - 600/(-36). Suppose 0 = 3*p - 4*u + r, -4*u = -7*u + 15. What is the remainder when (-4)/p - (-42 - -18) is divided by 12?
8
Let u = -441 - -481. Calculate the remainder when 220 is divided by u.
20
Suppose -4*s + 5 = -3. Let q(x) = x**3 + x**2 - 3*x + 2. What is the remainder when q(-2) is divided by s?
0
Suppose 0*h = -4*h + 3*r + 77, -5*h + 5*r + 90 = 0. What is the remainder when 27 is divided by h?
4
Let t = 61 + -9. Let v = t + -24. Calculate the remainder when v is divided by 17.
11
Let s(x) = -10*x + 3. Suppose -2*p + 7*p = -10. Calculate the remainder when s(p) is divided by 4.
3
Let r = -25 + 27. Suppose 0 = r*a - 6*a + 52. What is the remainder when 63 is divided by a?
11
Suppose 5*h = 3*h + 16. Let u(g) = g**3 - 2*g**2 + 20. Let f be u(0). Suppose -6*o + f = -o. Calculate the remainder when h is divided by o.
0
Suppose 0 = r - 2*r - 1. What is the remainder when (40/6 - 5)/(r/(-87)) is divided by 37?
34
Suppose -22*y + 20 = -46. Let r = 6 - 4. Suppose 3*v + 44 = m, r*v - y*v - 124 = -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
on divisor of 1598 and 1034.
94
What is the greatest common divisor of 3006 and 234?
18
Calculate the highest common divisor of 1596 and 252.
84
What is the highest common factor of 65 and 260?
65
Calculate the highest common factor of 52 and 208.
52
Calculate the highest common factor of 42 and 1869.
21
Calculate the highest common divisor of 1980 and 20.
20
Calculate the greatest common factor of 5558 and 14.
14
Calculate the greatest common divisor of 624 and 96.
48
What is the greatest common factor of 7 and 329?
7
What is the highest common factor of 208 and 2652?
52
What is the greatest common divisor of 78 and 162?
6
Calculate the highest common divisor of 72 and 45.
9
What is the greatest common factor of 146 and 4?
2
What is the greatest common divisor of 930 and 255?
15
What is the greatest common factor of 115 and 15?
5
Calculate the highest common factor of 682 and 403.
31
Calculate the greatest common factor of 784 and 16.
16
What is the greatest common divisor of 236 and 2950?
118
What is the greatest common divisor of 200 and 160?
40
Calculate the greatest common divisor of 15 and 19365.
15
Calculate the highest common divisor of 808 and 2626.
202
What is the greatest common factor of 3 and 71?
1
Calculate the greatest common divisor of 65 and 5.
5
Calculate the highest common divisor of 65 and 260.
65
Calculate the highest common divisor of 195 and 10.
5
Calculate the greatest common factor of 1443 and 222.
111
Calculate the greatest common divisor of 97 and 291.
97
Calculate the highest common divisor of 45 and 1605.
15
What is the greatest common divisor of 143 and 11869?
143
What is the highest common factor of 121 and 44?
11
What is the highest common factor of 299 and 13?
13
What is the highest common factor of 782 and 46?
46
Calculate the highest common divisor of 132 and 33.
33
What is the highest common factor of 48 and 852?
12
Calculate the greatest common divisor of 627 and 231.
33
What is the highest common factor of 1 and 123?
1
What is the greatest common divisor of 986 and 174?
58
Calculate the greatest common factor of 2228 and 4.
4
Calculate the highest common factor of 6 and 498.
6
What is the highest common factor of 115 and 205?
5
What is the greatest common factor of 1996 and 4?
4
Calculate the greatest common factor of 228 and 2926.
38
Calculate the greatest common divisor of 4891 and 67.
67
What is the highest common factor of 15213 and 55?
11
Calculate the greatest common divisor of 3 and 591.
3
What is the highest common divisor of 27494 and 236?
118
What is the highest common factor of 187 and 308?
11
Calculate the highest common factor of 35 and 56.
7
What is the highest common factor of 343 and 126?
7
What is the highest common factor of 1131 and 87?
87
Calculate the highest common factor of 150 and 26850.
150
Calculate the highest common divisor of 7614 and 1410.
282
What is the greatest common divisor of 728 and 112?
56
What is the greatest common factor of 1024 and 16?
16
What is the greatest common factor of 188 and 3?
1
Calculate the greatest common divisor of 1529 and 22.
11
Calculate the greatest common divisor of 99 and 924.
33
What is the highest common factor of 225 and 105?
15
Calculate the highest common divisor of 59 and 27.
1
What is the greatest common factor of 455 and 25753?
91
Calculate the highest common factor of 189 and 483.
21
What is the highest common divisor of 320 and 496?
16
Calculate the highest common factor of 324 and 5292.
108
Calculate the greatest common factor of 5203 and 4257.
473
Calculate the highest common factor of 4704 and 1470.
294
What is the highest common factor of 153 and 204?
51
What is the greatest common factor of 15464 and 56?
8
What is the greatest common divisor of 6 and 57?
3
Calculate the highest common factor of 2783 and 363.
121
Calculate the greatest common factor of 72 and 9.
9
Calculate the highest common factor of 1292 and 608.
76
What is the highest common divisor of 151 and 192827?
151
What is the highest common factor of 34 and 85?
17
Calculate the highest common divisor of 44 and 55.
11
Calculate the highest common factor of 2 and 50.
2
What is the highest common divisor of 225 and 25?
25
What is the greatest common divisor of 88 and 209?
11
What is the greatest common factor of 9898 and 202?
202
Calculate the highest common divisor of 735 and 120.
15
Calculate the highest common factor of 27 and 1161.
27
Calculate the greatest common divisor of 16 and 1072.
16
What is the highest common divisor of 144 and 32?
16
Calculate the highest common factor of 56 and 623.
7
What is the greatest common divisor of 282 and 90?
6
What is the highest common factor of 3584 and 2464?
224
What is the greatest common divisor of 260 and 100?
20
Calculate the highest common divisor of 296 and 2.
2
What is the greatest common divisor of 1020 and 35?
5
Calculate the greatest common divisor of 36 and 1206.
18
Calculate the highest common factor of 140 and 120.
20
Calculate the greatest common factor of 7332 and 156.
156
What is the highest common factor of 189 and 27?
27
Calculate the highest common factor of 28 and 154.
14
Calculate the greatest common divisor of 1 and 1.
1
What is the highest common factor of 10 and 520?
10
What is the greatest common divisor of 1260 and 192?
12
What is the greatest common factor of 2499 and 1176?
147
Calculate the highest common divisor of 1458 and 162.
162
What is the highest common factor of 141 and 78?
3
What is the greatest common factor of 234 and 144?
18
What is the highest common factor of 21 and 3?
3
What is the greatest common divisor of 476 and 272?
68
Calculate the greatest common divisor of 35 and 315.
35
Calculate the highest common divisor of 96 and 2454.
6
Calculate the greatest common divisor of 923 and 39.
13
Calculate the highest common factor of 1030 and 8858.
206
Calculate the greatest common divisor of 4 and 164.
4
Calculate the highest common divisor of 96 and 1176.
24
What is the highest common divisor of 11 and 41690?
11
What is the highest common factor of 24 and 42?
6
What is the greatest common divisor of 68 and 3604?
68
What is the highest common divisor of 222 and 518?
74
Calculate the greatest common factor of 70476 and 84.
84
What is the greatest common factor of 120 and 285?
15
What is the greatest common divisor of 1768 and 78?
26
What is the greatest common factor of 1064 and 7714?
266
Calculate the highest common factor of 140 and 3430.
70
What is the greatest common factor of 224 and 182?
14
Calculate the greatest common factor of 26 and 1417.
13
Calculate the highest common divisor of 715 and 110.
55
Calculate the greatest common divisor of 37241 and 167.
167
What is the greatest common factor of 12 and 1536?
12
What is the highest common divisor of 460 and 100?
20
What is the highest common factor of 215 and 5?
5
What is the highest common divisor of 6 and 134?
2
What is the greatest common divisor of 720 and 3870?
90
Calculate the highest common factor of 10033 and 127.
127
Calculate the greatest common factor of 48 and 1552.
16
What is the highest common factor of 144 and 198?
18
What is the highest common divisor of 1664 and 13?
13
Calculate the greatest common divisor of 115 and 368.
23
Calculate the greatest common divisor of 2211 and 2010.
201
What is the greatest common divisor of 198 and 3042?
18
What is the highest common divisor of 26 and 382?
2
Calculate the greatest common factor of 72 and 63.
9
What is the highest common factor of 209 and 19?
19
Calculate the highest common divisor of 52 and 11037.
13
What is the highest common divisor of 10248 and 840?
168
Calculate the greatest common divisor of 2134 and 1164.
194
Calculate the highest common factor of 93 and 24.
3
Calculate the greatest common factor of 1188 and 2673.
297
What is the highest common divisor of 1612 and 1040?
52
What is the greatest common factor of 343 and 28?
7
What is the highest common factor of 117 and 78?
39
What is the highest
|
{
"pile_set_name": "DM Mathematics"
}
|
Let y(v) = -7*v + 8. Let h(w) = -6*w + 7. Let m(q) = -3*q - 4 + q - 3*q**2 + 2*q**2 + 2. Let k be m(-3). Calculate k*y(t) + 6*h(t).
-t + 2
Let x(g) = 1. Let p(a) = 2*a - 7. Determine -p(i) - 6*x(i).
-2*i + 1
Let g(t) = -6*t + 2. Suppose -5*n = -5, -n + 0*n + 19 = -3*w. Let a(x) = 7*x - 2. Determine w*g(i) - 5*a(i).
i - 2
Let y be (-1 + -35)*12/(-16). Suppose g - y = -2*g. Let x(r) = 4*r**2 + 2*r + 5. Let z(s) = -2*s**2 - s - 2. Determine g*z(i) + 4*x(i).
-2*i**2 - i + 2
Let b(k) = -3*k + k - 3 + 5. Let d(x) = -4*x + 5. Suppose 0 = -5*p + h - 8 - 16, -p - 8 = -h. Let g = -9 + 18. Determine g*b(m) + p*d(m).
-2*m - 2
Suppose -1 - 5 = -2*a. Suppose 0 = j - a*t - 11, -4*j + 0*t + 16 = 2*t. Let x(h) = -3*h**2. Let w(v) = 7*v**2. Determine j*x(s) + 2*w(s).
-s**2
Let x(d) = -d - 2. Let g(w) = -2 + w - 2 + 7. Let o = 6 - -3. Suppose -o*u + 16 = -5*u. What is u*x(l) + 3*g(l)?
-l + 1
Let c(j) = 285*j**2 - 45*j. Let x(o) = 13*o**2 - 2*o. Determine -2*c(z) + 45*x(z).
15*z**2
Let l(n) be the third derivative of n**6/120 - n**3/6 + n**2. Let c be 5/2*64/40. Suppose 2*a + c - 2 = 0. Let j(p) = -p - 1. Calculate a*j(q) - l(q).
-q**3 + q + 2
Let s = 3 - 2. Let u(i) = 1. Let t(w) be the third derivative of w**4/12 - 38*w**2. Give s*t(b) - 2*u(b).
2*b - 2
Let o(i) = i**2 - i + 1. Let d(r) = -r - 1. Let f = 72 + -121. Let j be 4/(-14) + (-63)/f. Give j*d(z) + o(z).
z**2 - 2*z
Let a(m) = -4*m + 3. Let o(v) be the second derivative of 17*v**3/6 - 13*v**2/2 - 14*v. Determine -9*a(t) - 2*o(t).
2*t - 1
Let o(w) = -2*w**2 + 3*w + 2. Let r(y) be the second derivative of -y**4/3 + y**3 + 2*y**2 + 6*y. Give 7*o(s) - 3*r(s).
-2*s**2 + 3*s + 2
Let i = 4 - 0. Let m(b) = -b**2 + 3*b + 5. Let t be m(i). Let q = 2 - t. Let h(r) = 7*r - 6. Let f(v) = v - 1. Calculate q*h(w) - 6*f(w).
w
Let t(l) = -3*l**3 - 2*l + 4. Let g(r) be the second derivative of r**5/20 + r**3/6 - r**2/2 + 2*r. What is 2*g(z) + t(z)?
-z**3 + 2
Let f(b) = -b**3 - b**2 + b + 1. Let c(d) = 5*d**3 + 4*d**2 - 6*d - 6. What is -c(h) - 4*f(h)?
-h**3 + 2*h + 2
Let d(w) be the second derivative of w**4/12 - 5*w**3/6 + 5*w. Let u(r) = -r. Give d(i) - 5*u(i).
i**2
Let n(b) = 15*b**2 - 12*b + 12. Let i(p) = 6*p**2 - 5*p + 5. Determine -12*i(o) + 5*n(o).
3*o**2
Let n(y) = -4*y + 2. Let a(u) = 4*u - 1. What is 4*a(r) + 3*n(r)?
4*r + 2
Let s be -1 + (-1 - (-1 + -3)). Let l(g) be the third derivative of -g**6/120 - g**5/60 - 5*g**2. Let v(o) = o**2 - o. What is s*v(y) + l(y)?
-y**3 + y**2 - 2*y
Let p(a) = -2*a**2 + 5*a**3 + 2*a**2 + 2*a**2. Let w(v) be the second derivative of 13*v**5/10 + 11*v**4/12 + v**3/6 - 12*v. What is -11*p(j) + 2*w(j)?
-3*j**3 + 2*j
Let f(q) = 4*q - 9. Let s(m) = -m + 2. Calculate 2*f(b) + 11*s(b).
-3*b + 4
Let o(z) = -2*z**2 + 3*z. Let k(s) = -5*s**2 + 8*s. What is -3*k(q) + 8*o(q)?
-q**2
Let a(r) = 8*r**3 - 8*r**2 - 6*r - 4. Let j(s) = -s**3 + s**2 + s. Let w(g) = -a(g) - 6*j(g). Let t(z) = -5*z**3 + 5*z**2 + 11. Determine -4*t(d) + 11*w(d).
-2*d**3 + 2*d**2
Let p = -2 + 0. Let z(f) = -270*f + 537*f - 268*f. Let o(y) = 2. Calculate p*z(k) - o(k).
2*k - 2
Let v = 4 + -8. Let t(x) = 4*x**3 + 5*x - 7. Let o = 3 + -12. Let z(y) = -2*y - 3*y + y + 2*y - 2*y**3 + 3. Calculate o*z(f) + v*t(f).
2*f**3 - 2*f + 1
Let o(f) = -5 + 3 - 5 + 6. Let n(c) = 2*c - 3. Determine -n(d) + 2*o(d).
-2*d + 1
Let g(x) = x - 4. Suppose -4*a + 15 = -a. Let n = a - 0. Let t be g(n). Let r(i) = 5*i - 2. Let z(m) = m. Give t*r(c) - 3*z(c).
2*c - 2
Let x(h) = -h**2 + 7*h**2 + 2*h**2 + 12*h - 9*h**3 + 4*h**2. Let q(g) = -g**3 + g**2 + g. Give -12*q(k) + x(k).
3*k**3
Let b(h) = -h**3 + h - 2. Let p = -33 - -20. Let c = p -
|
{
"pile_set_name": "DM Mathematics"
}
|
- ((-1)/1 + 7). Sort i, d, -3.
i, d, -3
Suppose -2 = 2*q - 0. Let g = -13 - q. Let n = 3 - 0. Sort n, 4, g in descending order.
4, n, g
Let f = 23 + -19. Let n(u) = u**2 - 4*u + 6. Let m be n(f). Let v be (-7 - (1 - 2)) + 2. Put -3, v, m in descending order.
m, -3, v
Suppose -100 = -4*r - 92. Sort r, -1, 7, 8 in descending order.
8, 7, r, -1
Let l = 514 - 513. Put l, 0.01, 0 in ascending order.
0, 0.01, l
Let r = 59.3 - 59. Sort 0.6, r, 14, -1/4 in descending order.
14, 0.6, r, -1/4
Let b = 42 + -47. Sort -2, b, -6, 3 in ascending order.
-6, b, -2, 3
Let t = 100 + -100.2. Sort -0.3, t, -130 in decreasing order.
t, -0.3, -130
Let k = 32 - 31. Put -0.5, 1/2, -5, k in descending order.
k, 1/2, -0.5, -5
Let n(c) = -2*c**3 + 2*c**2 + 47*c + 1. Let s be n(-6). Sort 2, 5, s in descending order.
s, 5, 2
Let q = 1 + -1.4. Suppose -8*a = -7*a + 32. Let s be a/(-176) + (-4)/143. Put 3, q, s in descending order.
3, s, q
Let b = -65951497/786177 - 2/87353. Let z(o) = -o**2 + 17*o. Let t be z(21). Let f = t - b. Sort f, 2, -1/2 in ascending order.
-1/2, f, 2
Suppose -31 + 39 = -4*r. Sort -5, 3, r, -36 in descending order.
3, r, -5, -36
Suppose 8*y = -3*i + 13*y - 11, 2*i = -3*y + 18. Let z(b) = b**3 - b**2. Let g be z(1). Sort i, -8, 4, g.
-8, g, i, 4
Let z be (-2)/(-3) + 88/66. Let c = -0.03 - 0.17. Sort c, 1/6, z in descending order.
z, 1/6, c
Let g be (-1)/(((-27)/(-15))/((-4)/(-10))). Put -1/6, g, -0.3 in increasing order.
-0.3, g, -1/6
Let h = -2134 + 2167. Put h, -0.1, 4/7 in increasing order.
-0.1, 4/7, h
Let k be (-4 - 77/(-21))/((-8)/6). Put k, 8/7, -1 in increasing order.
-1, k, 8/7
Suppose 3*j + 4*t + 7 = 0, 4*t - 3 + 4 = 3*j. Let m = 14.15 + -10. Let f = m + -0.15. Put -3, f, j in increasing order.
-3, j, f
Let u = -2/37 + -33/74. Let b = -10 + 11. Let a be (1 + 44/(-48))*10. Put b, a, u in increasing order.
u, a, b
Let g be -2*(2 + -2 - -2). Let c be 4/8 - ((-114)/12 + 10). Sort g, -2, c, -1 in increasing order.
g, -2, -1, c
Let a = -0.91 - -2.31. Let f = -3 + 3.3. Put -2/3, f, a in descending order.
a, f, -2/3
Let k(q) = q**2 + 6*q + 4. Let y be k(-6). Let g = -397 - -396.7. Put g, y, -1/11 in descending order.
y, -1/11, g
Let i = 182.9 - 182. Put 0.1, -0.5, i, 2 in ascending order.
-0.5, 0.1, i, 2
Suppose 70*w - 68*w = -6. Let q be 9/6 - (-3)/2. Put w, q, 30 in descending order.
30, q, w
Let s = 2511 - 2502. Let v = 11 + -7. Sort -2/15, s, v, -3 in descending order.
s, v, -2/15, -3
Let d = 35.59 - 39.5. Let v = d + -0.09. Let w = 3.36 - 3.76. Sort v, w, -6 in decreasing order.
w, v, -6
Suppose -4*a - 8 = 12. Let j(l) = 2*l**2 + 9*l - 6. Let s be j(a). Sort 8, -4, s.
-4, s, 8
Let v = -0.362 - -0.082. Let t = v - 0.02. Sort -0.03, -0.2, t in ascending order.
t, -0.2, -0.03
Let l(b) = 159*b**2 - 5*b + 1. Let o be l(1). Sort 3/5, -0.4, o in decreasing order.
o, 3/5, -0.4
Let d = 53 + -49. Sort 12, -6, -3, d.
-6, -3, d, 12
Let v(n) = -n**3 + 2*n**2 + n. Let s(d) = -d**3 + 3*d**2 + 4*d. Let r be s(4). Let t be v(r). Let g be (3 - 6) + 11 + -3. Put g, -2/5, t in increasing order.
-2/5, t, g
Let m = 1.25 - 1. Let q = -0.1 - -0.25. Let u = q + m. Sort u, -0.4, -3 in descending order.
u, -0.4, -3
Let x(l) = -38*l**2 - 303*l + 8. Let d be x(-8). Put -63, 4, -3, d in decreasing order.
4, d, -3, -63
Suppose 62*s - 14 = 76*s. Let u = -10 + 13. Sort -3, s, u, 4 in decreasing order.
4, u, s, -3
Suppose 0 = 2*m - 4 + 8. Let y be 4/(-2)*m/(-6). Let t = -0.54 - -0.14. Sort y, 1/5, t in descending order.
1/5, t, y
Let f = 1868 - 1876. Put 7, -0.1, f, 3/2 in decreasing order.
7, 3/2, -0.1, f
Let y(z) = -z + 7. Suppose -u = 0, 0*u = 4*o + 4*u + 4. Let a(d) = -2*d**3 + d**2 + d + 1. Let j be a(o). Let p be y(j). Put -4, -2, p in descending order.
p, -2, -4
Let w = 13.6 + -16.6. Let n = -0.53 + 0.03. Sort -13, w, n in increasing order.
-13, w, n
Let l = 0.5 + -3.5. Suppose -31*o + 28 = -45*o. Put -0.4, l, o in increasing order.
l, o, -0.4
Let v = 1178 + -1177. Put v, -15, 2, 0 in increasing order.
-15, 0, v, 2
Let n(i) = i + 2 - 25*i**2 + 24*i**2 + 2*i. Let m be n(2). Put 0, -3, m, -2 in ascending order.
-3, -2, 0, m
Let a = -4.9409 + -0.0591. Put 5, a, -33 in descending order.
5, a, -33
Let c
|
{
"pile_set_name": "DM Mathematics"
}
|
42 a factor of 229026?
True
Is 29 a factor of 126208?
True
Is 122 a factor of 388222?
False
Does 206 divide 7183142?
False
Is 76 a factor of 455468?
True
Does 14 divide 1726676?
True
Is 83 a factor of 170976?
False
Does 158 divide 42509?
False
Does 56 divide 1678600?
True
Is 4437726 a multiple of 123?
False
Is 2260915 a multiple of 9?
False
Is 36 a factor of 7992?
True
Does 2 divide 1662?
True
Does 902 divide 689128?
True
Is 2108304 a multiple of 12?
True
Is 767367 a multiple of 33?
False
Is 19 a factor of 6498?
True
Is 12 a factor of 36516?
True
Is 76 a factor of 19239744?
False
Does 7 divide 54624?
False
Is 104 a factor of 1002768?
True
Is 452551 a multiple of 122?
False
Is 68389 a multiple of 23?
False
Is 45697 a multiple of 8?
False
Does 13 divide 7362589?
True
Is 6181130 a multiple of 623?
False
Is 47000 a multiple of 10?
True
Is 2043200 a multiple of 160?
True
Is 8108352 a multiple of 88?
False
Does 94 divide 545003?
False
Does 2 divide 3042?
True
Is 34602 a multiple of 6?
True
Is 521778 a multiple of 398?
True
Does 8 divide 1986065?
False
Does 5 divide 715507?
False
Is 28 a factor of 1794534?
False
Is 9571924 a multiple of 1056?
False
Does 551 divide 49039?
True
Is 87 a factor of 167751?
False
Does 5 divide 7476?
False
Is 2687405 a multiple of 49?
True
Is 632744 a multiple of 71?
False
Does 115 divide 371680?
True
Is 32 a factor of 175232?
True
Is 14 a factor of 15582?
True
Does 244 divide 3391112?
True
Is 25 a factor of 4525?
True
Is 449152 a multiple of 102?
False
Is 78 a factor of 4013854?
False
Is 16 a factor of 4541120?
True
Is 2372392 a multiple of 22?
True
Does 92 divide 15483?
False
Does 32 divide 5159896?
False
Does 70 divide 224840?
True
Is 23804 a multiple of 4?
True
Is 124431 a multiple of 7?
False
Is 217225 a multiple of 16?
False
Is 4134834 a multiple of 33?
True
Does 3 divide 83664?
True
Does 487 divide 566417?
False
Is 7478280 a multiple of 45?
True
Is 158400 a multiple of 132?
True
Does 666 divide 1002996?
True
Is 341605 a multiple of 77?
False
Does 795 divide 12239025?
True
Is 6 a factor of 213312?
True
Is 11 a factor of 35712?
False
Does 12 divide 2695536?
True
Is 51 a factor of 104052?
False
Is 45 a factor of 348893?
False
Is 70272 a multiple of 61?
True
Does 554 divide 10296090?
True
Is 4 a factor of 737466?
False
Is 85129 a multiple of 55?
False
Is 2826935 a multiple of 63?
False
Does 8 divide 768635?
False
Is 858 a factor of 3886259?
False
Is 602528 a multiple of 16?
True
Is 225676 a multiple of 11?
True
Is 25 a factor of 968429?
False
Is 3 a factor of 185637?
True
Does 345 divide 1951940?
False
Is 1027743 a multiple of 6?
False
Does 83 divide 4044557?
False
Is 155 a factor of 2179111?
False
Does 17 divide 241692?
False
Is 501961 a multiple of 19?
True
Is 6276603 a multiple of 11?
False
Is 3 a factor of 5096660?
False
Is 42 a factor of 61950?
True
Is 11877023 a multiple of 5?
False
Is 54 a factor of 649305?
False
Does 187 divide 1335410?
False
Does 39 divide 15873?
True
Is 117880 a multiple of 7?
True
Is 24 a factor of 256391?
False
Is 96 a factor of 172416?
True
Does 482 divide 1485495?
False
Is 73 a factor of 5094889?
True
Does 141 divide 229407?
True
Is 78980 a multiple of 13?
False
Does 30 divide 594030?
True
Is 5 a factor of 40526?
False
Is 8 a factor of 3154809?
False
Does 16 divide 792896?
True
Is 436 a factor of 3924?
True
Is 7 a factor of 63905?
False
Is 37 a factor of 142529?
False
Is 20 a factor of 47614?
False
Is 192 a factor of 92582?
False
Is 25 a factor of 8629083?
False
Is 6 a factor of 134381?
False
Does 23 divide 6194111?
False
Does 86 divide 81270?
True
Is 405 a factor of 1626480?
True
Does 96 divide 82115?
False
Does 14 divide 1934837?
False
Is 619393 a multiple of 115?
False
Is 16 a factor of 53667?
False
Is 1142899 a multiple of 7?
False
Is 281 a factor of 147525?
True
Is 426270 a multiple of 65?
True
Is 4771800 a multiple of 18?
True
Does 39 divide 354376?
False
Is 141329 a multiple of 47?
True
Does 79 divide 983176?
False
Is 29 a factor of 10831?
False
Does 38 divide 1541174?
False
Does 364 divide 206388?
True
Does 36 divide 11238809?
False
Is 20 a factor of 110860?
True
Is 79 a factor of 40769?
False
Is 228715 a multiple of 72?
False
Does 3 divide 99499?
False
Does 17 divide 33571?
False
Is 7674362 a multiple of 905?
False
Does 48 divide 1588032?
True
Is 5579814 a multiple of 19?
False
Is 43 a factor of 95890?
True
Does 178 divide 291487?
False
Does 144 divide 251856?
True
Is 5796 a multiple of 7?
True
Is 1132296 a multiple of 33?
True
Does 75 divide 165375?
True
Is 677 a factor of 573972?
False
Does 11 divide 1777030?
False
Is 11 a factor of 440539?
True
Is 2515024 a multiple of 14?
False
Is 82 a factor of 1684772?
True
Is 159 a factor of 549504?
True
Does 14 divide 1702220?
False
Is 19070 a multiple of 7?
False
Is 61100 a multiple of 47?
True
Is 211 a factor of 373526?
False
Is 39 a factor of 68213?
False
Does 21 divide 3423915?
False
Is 60 a factor of 391624?
False
Is 14290800 a multiple of 100?
True
Is 22 a factor of 102608?
True
Is 250218 a multiple of 10?
False
Does 3 divide 1352121?
True
Does 14 divide 446320?
True
Is 419 a factor of 87461?
False
Is 53 a factor of 214120?
True
Does 20 divide 1749760?
True
Does 17 divide 131444?
True
Is 492858 a multiple of 9?
True
Is 20 a factor of 149955?
False
Is 235826 a multiple of 122?
True
Does 19 divide 418513?
True
Does 268 divide 228987?
False
Does 390 divide 820560?
True
Does 97 divide 1190287?
True
Is 10 a factor of 401590?
True
Does 15 divide 698466?
False
Is 13 a factor of 1662882?
True
Does 321 divide 1984039?
False
Is 10 a factor of 52710?
True
Is 3 a factor of 682879?
False
Is 110 a factor of 5379405?
False
Is 59 a factor of 10325?
True
Is 26342 a multiple of 356?
False
Does 91 divide 5551?
True
Is 1703100 a multiple of 105?
True
Is 233 a factor of 648944?
False
Is 8 a factor of 1366
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 7086642 and 78150?
3126
What is the greatest common factor of 697235 and 6685?
35
What is the highest common divisor of 20 and 41946220?
20
Calculate the greatest common factor of 488976 and 59786.
334
Calculate the greatest common divisor of 1226674 and 8.
2
What is the highest common divisor of 22706250 and 75?
75
Calculate the highest common factor of 1580 and 10238795.
395
What is the highest common factor of 693 and 42505617?
231
Calculate the highest common factor of 554009 and 6519.
53
What is the greatest common factor of 4 and 121769324?
4
What is the greatest common divisor of 9546 and 53920581?
4773
What is the highest common factor of 390 and 36390900?
390
Calculate the highest common divisor of 4050 and 750978.
54
What is the greatest common divisor of 3366 and 68067?
9
What is the highest common divisor of 13762 and 10320517?
983
What is the greatest common divisor of 1094 and 375097592?
1094
Calculate the highest common divisor of 11661 and 1421628.
507
Calculate the highest common factor of 4381806 and 156.
78
Calculate the greatest common divisor of 25326 and 28266.
42
What is the highest common factor of 1686659 and 6604?
13
Calculate the highest common divisor of 408 and 82432.
8
What is the highest common factor of 18375 and 30101925?
3675
What is the highest common divisor of 391896 and 75?
3
Calculate the highest common divisor of 1144 and 18573841.
143
Calculate the highest common factor of 9727 and 59924.
71
Calculate the highest common divisor of 17031 and 74768523.
2433
What is the highest common factor of 16386 and 150?
6
What is the greatest common factor of 6 and 35479614?
6
What is the greatest common factor of 2823000 and 18000?
3000
What is the highest common factor of 184458360 and 1440?
120
Calculate the highest common divisor of 1218 and 37361541.
609
Calculate the highest common factor of 168 and 23551332.
84
Calculate the greatest common factor of 3328 and 11457056.
416
Calculate the greatest common divisor of 1499447200 and 800.
800
Calculate the greatest common divisor of 1960 and 483784.
56
What is the highest common factor of 883784 and 100056?
88
What is the highest common factor of 1206 and 782301648?
402
What is the greatest common factor of 45954 and 9154?
46
Calculate the greatest common factor of 22940 and 370518.
74
What is the highest common divisor of 65083 and 397861?
37
What is the greatest common divisor of 1691116 and 13272?
28
Calculate the highest common divisor of 223642545 and 7860.
1965
What is the highest common factor of 120 and 2160570?
30
Calculate the greatest common factor of 1218 and 6872565.
609
Calculate the greatest common factor of 583 and 32570991.
53
What is the highest common factor of 2573916 and 2676?
12
Calculate the highest common divisor of 510 and 923358570.
510
Calculate the greatest common divisor of 1212461638 and 58.
58
Calculate the greatest common factor of 564 and 71080356.
564
What is the greatest common divisor of 1845981 and 4?
1
Calculate the greatest common factor of 17135181 and 357.
21
Calculate the highest common factor of 654346 and 63602.
1078
What is the greatest common factor of 141 and 17250269?
47
Calculate the greatest common factor of 280500 and 1405492.
748
Calculate the greatest common factor of 144 and 9133578.
18
What is the highest common divisor of 14 and 770779079?
7
What is the greatest common divisor of 7196463 and 3996?
333
What is the greatest common factor of 11762690 and 580638?
2726
What is the greatest common divisor of 800 and 84992?
32
Calculate the greatest common factor of 338302263 and 3954.
1977
Calculate the greatest common divisor of 575294 and 2446378.
1838
Calculate the greatest common divisor of 655995 and 20351.
433
Calculate the greatest common factor of 5224325 and 254600.
1675
Calculate the greatest common factor of 326541 and 92560.
89
What is the highest common factor of 12405312 and 702?
54
Calculate the greatest common factor of 182336 and 60984.
616
Calculate the highest common factor of 20 and 85896455.
5
What is the greatest common factor of 538118081 and 6619?
6619
Calculate the highest common divisor of 37684747 and 217.
31
What is the highest common factor of 65916 and 69588?
36
Calculate the greatest common divisor of 132404 and 173484.
316
Calculate the highest common factor of 660 and 43811955.
165
Calculate the greatest common factor of 3587010 and 9744.
1218
What is the highest common divisor of 562354 and 8342?
86
Calculate the highest common divisor of 34567 and 5291410.
2659
Calculate the highest common divisor of 55598772 and 51.
51
Calculate the greatest common divisor of 18754940 and 1640.
20
What is the highest common factor of 406032 and 668?
4
Calculate the greatest common divisor of 1944 and 944616.
24
Calculate the highest common factor of 74460 and 444380.
340
Calculate the highest common divisor of 98307874 and 2506.
2506
What is the greatest common divisor of 5969677 and 49?
7
Calculate the greatest common divisor of 240 and 3985060.
20
What is the greatest common divisor of 45738 and 121841797?
847
What is the highest common divisor of 2949816 and 30?
6
What is the greatest common divisor of 43392 and 870024?
24
Calculate the highest common factor of 322 and 5618417.
161
What is the highest common factor of 318695 and 19955?
65
What is the highest common factor of 18710 and 10140?
10
Calculate the highest common factor of 194 and 3743327.
97
What is the highest common divisor of 826 and 49283703?
413
What is the greatest common factor of 29584127 and 1?
1
Calculate the highest common factor of 1188 and 47429766.
54
What is the highest common factor of 9225528 and 2184?
312
Calculate the greatest common divisor of 20 and 11148892.
4
Calculate the greatest common divisor of 343 and 83104.
49
Calculate the highest common divisor of 5175782 and 26899.
37
What is the greatest common factor of 77978 and 1838706?
254
Calculate the greatest common divisor of 43594 and 14342.
142
Calculate the greatest common divisor of 2632170 and 36.
6
What is the highest common factor of 1248270 and 3390?
30
Calculate the greatest common factor of 50 and 17865515.
5
What is the highest common divisor of 130 and 107699878?
26
What is the greatest common divisor of 8460 and 708930?
90
Calculate the greatest common divisor of 17535805 and 2810.
1405
What is the highest common divisor of 351 and 2483055?
27
What is the greatest common factor of 680169863 and 409?
409
Calculate the greatest common factor of 269887734 and 3.
3
Calculate the greatest common factor of 172139605 and 440.
55
What is the highest common factor of 252 and 22552551?
63
What is the greatest common divisor of 6386600 and 3795?
55
Calculate the greatest common divisor of 10940645 and 1660.
415
What is the highest common factor of 185952 and 20?
4
What is the highest common divisor of 5281704 and 12753?
981
Calculate the highest common divisor of 113 and 17220635.
113
What is the highest common divisor of 18419 and 123170?
113
Calculate the highest common factor of 909 and 142723908.
909
What is the highest common divisor of 470878 and 122?
2
What is the greatest common factor of 453 and 2995991?
151
What is the highest common factor of 651922 and 2911?
71
What is the highest common factor of 115721671 and 598?
299
What is the highest common factor of 274023923 and 2252?
563
What is the highest common factor of 4175 and 571737025?
4175
Calculate the highest common divisor of 3546 and 599598.
18
Calculate the highest common factor of 566581 and 1443.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7*f**2 + 16*f**3 - 35*f**2 + 19*f**3 + 65*f**4 - 21*f**4 to the form c*f**2 + n*f**4 + y*f + t + b*f**3 and give t.
1
Rearrange 46 - 67 - 137 - 2*d**2 + 5 to the form j + k*d**2 + c*d and give j.
-153
Rearrange (1924 - 486 + 147 + 1684)*(28 - 20*q**4 - 28) to p*q**3 + b*q + i*q**4 + r*q**2 + y and give i.
-65380
Rearrange (-57*a**2 + 23*a**3 + 57*a**2)*(122 + 69*a - 122)*(1 + 0 + 1) to j + u*a + v*a**4 + y*a**3 + p*a**2 and give v.
3174
Rearrange -4 + 5198*l**2 - 2600*l**2 + 4 - 17*l**3 - 2600*l**2 - 19*l to c*l**3 + v*l + d*l**2 + k and give d.
-2
Express (-114*f - 16 - 13*f + 18)*(-f**3 + 0 + 0) + 2733*f + 2 + 13*f**4 - 2733*f in the form y*f**4 + v*f**3 + q*f**2 + d*f + g and give v.
-2
Rearrange -281*v + 131*v + 150*v - 11134*v**2 to the form z*v**2 + d + t*v and give t.
0
Rearrange (12 + 6 - 7)*(2*q + 2*q - 2*q) + 2*q + q - 4*q + (3 - 1 - 4)*(-2 + 2 + q) - 6*q + 29*q + 58*q to o*q + d and give o.
100
Express (26401*g - 26402*g + 811 - 6727)*(3*g - 4*g + 2*g) as n*g**2 + c*g + h and give n.
-1
Express 18*b**3 - 19*b**3 - 7264*b**4 - 3 + 7267*b**4 + 0 - 2*b**2 in the form a + i*b + u*b**3 + r*b**4 + w*b**2 and give w.
-2
Rearrange -4*y + 0*y + 98 + 11*y + 6*y - 2*y to the form t*y + c and give c.
98
Rearrange -17*p**2 + 26*p - p + 19*p**3 - 7*p - 7*p - 13*p to the form r + j*p**2 + t*p**3 + h*p and give h.
-2
Rearrange -1268*l + 436*l + 131 + 150 - 278 to the form y*l + b and give b.
3
Express -37*m - 26*m**2 + 4483*m**2 + 30*m + 7*m as a + r*m**2 + b*m and give r.
4457
Rearrange -3*j**2 + j**3 + 3*j**2 + (126*j - 260*j + 137*j + 1)*(-40*j**2 + 2*j**2 - 69*j**2) to the form m + d*j**3 + t*j + z*j**2 and give d.
-320
Rearrange 8464*t - 17218*t + 15*t**2 + 8488*t to the form r + g*t + w*t**2 and give g.
-266
Rearrange 149*m - 49*m - 55*m - m - 3 + 3 + (-1 - 1 + 0)*(-2*m + 5*m + 0*m) + 1 - 1 - 4*m to x + u*m and give u.
34
Express (-4 + 1 + 4)*(0*n - 2*n - n)*(156*n**2 + 132*n**2 + 51*n**2) as a*n + i*n**3 + v*n**2 + c and give i.
-1017
Rearrange -14*b**2 + 15*b**2 + 2 - 2 - 416*b**3 to the form c*b**2 + u*b**3 + k*b + z and give c.
1
Rearrange (-g + 4*g - g)*(3 - 3 - 4)*(450*g**2 - 2555*g**2 + 853*g - 420*g - 433*g) to d*g + j*g**3 + w + o*g**2 and give d.
0
Express 17*g + g - 11*g + 351 in the form f + u*g and give u.
7
Express 353*z**2 - 179*z**2 + 7 - 172*z**2 + z + 2*z**3 in the form w*z + x*z**3 + k + r*z**2 and give r.
2
Rearrange -18*u**2 + 48*u**2 + 1 - 10*u**2 - 8*u + 41*u**3 + 37*u**3 - 17*u**2 to the form n + x*u**3 + q*u**2 + a*u and give x.
78
Rearrange -1611*v + 17356*v - 9888*v to t + m*v and give m.
5857
Express -2*k - 21368*k**2 + 2228 + 2*k + 21371*k**2 + 0*k in the form c + b*k**2 + i*k and give b.
3
Rearrange 0 + 886*c + 5 + 11 - 16 to the form p + s*c and give s.
886
Express 2020*d - 748*d + 2177*d in the form m + z*d and give z.
3449
Express 606 - 197 - 4412*d - 204 - 205 as r*d + c and give r.
-4412
Express 15691*v + 15689*v - 100*v**3 - 47046*v + 15685*v in the form t + l*v**2 + y*v + s*v**3 and give s.
-100
Rearrange (-25 - 73 - 50)*(-51*z**2 - 38*z**2 + 22*z**2) to d + f*z**2 + a*z and give f.
9916
Express (53 + 19 + 110)*(0*s**4 + 7*s**3 - 10*s**3 + 3*s**4) in the form z + c*s + y*s**2 + a*s**3 + t*s**4 and give t.
546
Express -6*y - y**2 + 47*y**3 + 1 - 29*y**3 - y**4 - 21*y**3 - y as n*y**3 + w*y**4 + d*y + s + u*y**2 and give u.
-1
Express (4 - 2 - 3)*(454 - 157 + 605*t - 612*t) + (1 + 0 + 0)*(0 + 0 + 5*t) as p*t + h and give p.
12
Express 11311*t - 84091779 + 84091779 as y*t + h and give y.
11311
Express (5117*p + 434*p + 1261*p)*(3*p**2 - 2*p**2 - 3*p**2) as v*p**2 + f*p + c*p**3 + r and give c.
-13624
Rearrange -222*p**2 - 114*p**2 + 2*p - 2 + 318*p**2 to m*p + g + o*p**2 and give o.
-18
Rearrange (-4*z + 2*z + 3*z)*(-15 - 46 + 9)*(3 + 3 - 3 + 0 + 2 - 3 + (4 + 23 - 57)*(-4 + 3 - 2)) to the form w*z + u and give w.
-4784
Express (3*h - 5*h + 4*h)*(-78448*h**2 - 3 + 78448*h**2 + 1482*h**3) as u + f*h + s*h**3 + c*h**4 + o*h**2 and give c.
2964
Express (373 - 50*v - 373)*(1 + 0 - 3) + 11 + 19 + 698*v + 17 - 47 in the form h + c*v and give c.
798
Rearrange -15*p**4 - 4*p
|
{
"pile_set_name": "DM Mathematics"
}
|
*v = -v + v. Solve v = -2*k + f - 12, -4*k - 5*f = 10 for k.
-5
Let l(i) = 2*i**3 + 2*i**2 - 1. Let z be l(-1). Let p be (1 + -3)*(-3 - z). Suppose a + 57 = p*a. Solve -5*h - 3*y = -22, y + a = 4*h + 2*y for h.
5
Let j(u) = u. Let v be j(0). Let l be v - (-3 - -3)/(-4). Suppose -5 = -2*q + q. Solve -3*c - c = -t - q, l = -5*c + 4*t - 2 for c.
2
Let w be (0*(-2)/6)/(-1). Solve 2*j = -5*u - w*u + 6, -4*j - 2*u + 12 = 0 for j.
3
Suppose j + 2*c + 1 = -18, j = 5*c - 12. Let r = j - -35. Solve -f - 5*y = -y + 5, r = 4*f - 3*y for f.
3
Let v = 2529 + -2526. Let h(j) = -j**2 + 6*j + 8. Let u be h(6). Solve x + 0*m - u = v*m, -5*m = 15 for x.
-1
Let y be (-6)/((-18 + 15)*(-2)/(-3)). Solve 0 = j + y*f - 9, -5*j - 4*f + 6 = -6 for j.
0
Let r = -603 + 605. Solve 2 = 2*c, r*c + 2*c = 3*m + 4 for m.
0
Let u be (13 - -1) + -3 + 2. Suppose 17*p - 20 = u*p. Solve d - 3*d = -p*x + 21, 13 = -d + 3*x for d.
2
Suppose -2*s = -454 + 448. Solve s*p + 8 = -4*v - 19, -2*p + 2*v - 4 = 0 for p.
-5
Let d be 246/18 + 8/(-12). Let m = -6 + -7. Let w = m + d. Solve 5*z + w*x = 5*x, 3*z = x + 10 for z.
5
Suppose 4*n + 0*n - 16 = 0. Suppose -n*h = 4*h - 96. Let p = -7 + h. Solve p*l = -3*y - 0 + 1, -17 = 5*y - l for y.
-3
Suppose 6*j = 2*l + 2*j + 14, 5*j - 25 = 0. Suppose -10*q + 9*q = -l. Solve -q*b - 2 = 5*p, 4*p - 16 = -2*b + 4*b for b.
-4
Let t = -81 - 5. Let s = t + 89. Solve 0 = 5*v - 4*d + 6 + 1, 0 = s*d + 6 for v.
-3
Suppose 2*q - o - 81 = 0, -3*q + 5*o = -0*o - 125. Let a = 68 - 62. Solve 0 = -4*g - 4*f + 36, -5*f + q = -2*g + a*g for g.
5
Let m(c) = -c**2 + 2*c + 12. Let r be m(4). Suppose -12 = -r*a - 0*a. Solve 0 = -a*i + 4*x - 6, -4*x - x = -3*i - 6 for i.
-2
Let l be (19 - -3) + -8 + 3. Suppose -4*c - 5 = -l. Solve -s = -0*s + c*z - 1, -11 = 4*s - 3*z for s.
-2
Let c be 9 + 8*3/(-6). Let z(u) = -u + 7. Let k be z(c). Solve 0 = -a + 5*d, k*d - 3*d + 21 = 4*a for a.
5
Let u = 16 - 10. Suppose -10*k = -u*k - 20. Solve -k*h + 10*h + 2*y = 6, -4*h + 3 = y for h.
0
Let z = -565 - -568. Solve z*w - 5 = 2*t - t, w - 2*t = 0 for w.
2
Let n(g) be the third derivative of g**5/60 - 5*g**4/12 - 5*g**3/6 + 6*g**2. Let k be n(10). Let i = k - -13. Solve 0*q = -3*w - 4*q, 4*q = -w - i for w.
4
Let h = 122 - 117. Solve 3*o = -3*p + 15, -5*p - 2*o + 25 = -h*o for p.
5
Suppose 0*i - 5*i = -5. Suppose -w = 2*h - i, 0 = 2*w + 2 - 12. Let n be (-3 - -1)/h*0. Solve 5*u = 2*g + 12, 2*u + n*g = -4*g for u.
2
Let d be 6/15 - 368/(-80). Solve -z - d*a - 20 = 0, a + 3 + 5 = -z for z.
-5
Suppose -5*c = -2*c - 6. Suppose 0 = -2*u - c + 14. Solve -2*s + u = 2*f, -5*f = -f - 5*s + 15 for f.
0
Suppose 5*j - 2 + 1 = 2*h, -9 = -5*h + j. Suppose 12 = h*q - 0. Suppose -2*t = -5*u + 6 - 20, -3*u = q. Solve -4 + 18 = -t*w + 4*g, 4*w - 2*g = -4 for w.
1
Let a = 54 + -49. Suppose 11*l = a*l + 8*l. Solve o = 4, 3*p - 3*o + 6*o - 12 = l for p.
0
Let c(t) = -2*t - 2*t**2 - 4*t - t**3 + 2*t**3 + t**2. Let f be c(3). Solve 3*q - s - 16 = f, 5*q + 4*s + 0*s - 4 = 0 for q.
4
Suppose -4*u + 17*x - 21*x = -8, 2*u = -5*x - 2. Solve 3*w = 3*b, -u*b + 2 = -15*w + 12*w for w.
2
Let c(t) = 7*t**2 + 23*t - 13. Let i(s) = -4*s**2 - 12*s + 7. Let m(n) = -3*c(n) - 5*i(n). Let w be m(-9). Solve -3*d = -0*d + 6, 0 = 3*q + w*d - 1 for q.
3
Suppose -2*w + 5*o + 48 = 58, 0 = 2*o - 8. Solve w*x + 28 = -z, 0 = -x - 2*z - 11 for x.
-5
Let p = -75 - -79. Solve o + 4*j - 9 = 0, 3*j + 8 = p*o + 29 for o.
-3
Let p = 36 - 30. Suppose 0 = 4*q - p*q. Let n be -9*4/(-6) + -2. Solve q = -3*u + z + 8, -3*z + 18 = n*u - 8*z for u.
2
Let x(d) = -45*d - 762. Let m be x(-17). Solve -3*g - 4 = -2*q - 10, -q = m*g - 6 for g.
2
Let l = -4 + 7. Let i(u) = -u**3 - 15*u**2 - 11*u + 46. Let g be i(-14). Solve -b = -g*f, 0 = -2*f - l*b - b - 18 for f.
-1
Suppose -58 - 162 = -10*o. Suppose 4*k = 82 + o. Solve -a + 5*v = -0*v - k, 23 = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
b. Let s = -2 - 1. Calculate f(s).
10
Let x(r) be the third derivative of -17*r**5/60 + r**3/6 + 761*r**2. Calculate x(-1).
-16
Suppose -4*m + 50 = 21*m. Let x(v) be the third derivative of 0 + 0*v + 1/6*v**4 - v**m + 0*v**3. Give x(-1).
-4
Let b = -24 - -14. Let i = 11 + b. Let j(c) = 35*c + 36*c - 65*c + 1. What is j(i)?
7
Let a(u) = -u**3 + 4*u**2 - 3*u + 4. Let p(b) = b**2 - b. Let d(f) = -a(f) + 5*p(f). Determine d(-2).
-4
Let p be (2/(-3))/(4/(-3)). Let m(b) be the first derivative of -p*b**2 + 1 - b. Determine m(-4).
3
Let b = 93 + -91. Let j(s) = -4*s + 2*s - b*s + s**3 + s**2. Let m = 4 - 7. Give j(m).
-6
Let m(h) = -3351*h**2 + 2 + 3352*h**2 - 1. Let g(w) = -w - 4. Let v be g(-7). Let j be (-4)/(-2) - (v + -2). What is m(j)?
2
Let n(l) = l + 3. Suppose 231*u - 225*u - 42 = 0. Calculate n(u).
10
Let i(b) = b**2 - 12*b + 4. Let v = -75 - -81. What is i(v)?
-32
Suppose -2*x + 0*x = -12. Let j(f) be the second derivative of f**5/120 + f**4/3 + f**3/2 + 3*f. Let s(w) be the second derivative of j(w). Calculate s(x).
14
Suppose -5*z = -5*v + 10, -5*z - 20 = v + 4*v. Let c = v + -37. Let x = c + 43. Let t(u) = -u + 7. What is t(x)?
2
Let m(p) be the second derivative of -p**5/20 + 7*p**4/12 + p**3/6 - 26*p. Let l be (-6)/4*84/(-18). Give m(l).
7
Let h(x) be the third derivative of x**7/840 - x**6/72 - x**5/30 + x**4/6 - 49*x**3/6 + 2*x**2 - 19*x. Let q(k) be the first derivative of h(k). Give q(5).
-16
Suppose -450*c - 16 = -454*c. Let z(y) = y - 4. Give z(c).
0
Let u(z) = z - 9. Let f be (28 + -28)/(-2 + 3). What is u(f)?
-9
Let q(y) = 3*y**2 + 16*y + 23. Let m(z) = -z**2 - 5*z - 8. Let v(p) = 11*m(p) + 4*q(p). Suppose -48 = 11*w + 18. Determine v(w).
-14
Let c be 25 + 2 - (-8 - -4). Suppose 3*y + 19 = c. Let u(s) = s**2 - 3*s - 1. Give u(y).
3
Let l(u) be the third derivative of -u**4/8 + u**3 + 513*u**2. Calculate l(4).
-6
Let j(d) = 2*d - 4. Let h(x) be the first derivative of -4*x - 3*x**2 + 5 + 1/3*x**3. Let i be h(7). Calculate j(i).
2
Let r(u) = 12*u**2 - u. Let i = 1794 + -1793. Calculate r(i).
11
Let f = 97 + -148. Let n = f - -53. Let j(v) = 7*v - 3. Determine j(n).
11
Let h(l) = -11*l - 15. Let z(y) = 4*y + 7. Let g(x) = -2*h(x) - 5*z(x). Determine g(5).
5
Let b(s) = -s**2 - 8. Let c = -67 + 43. Let q = c - -24. What is b(q)?
-8
Let y be 106/(-2) + 3 + -6. Let p be ((-13)/(-26))/((-2)/y). Let i(l) = p + 7 + 5 - 23 + 3*l. Determine i(-4).
-9
Let x(y) = -26*y + 16*y + 2 + 8*y + 7*y - 3. Suppose -4*w + 2*d - 20 = 0, -2*w = -w + 3*d - 9. Let m be 1/(-3) - 4/w. Determine x(m).
4
Let o(j) = -19*j - 16*j - 19*j + 56*j + 40. What is o(-23)?
-6
Suppose 37*v = 42*v - 10. Let x(c) = 3*c - 4. Calculate x(v).
2
Let s be (-198)/(-11) + -7 + -6. Let a(m) = -m**2 - 2 + 1 - m + 0*m**2. Let c(u) = -u**3 + 9*u**2 - u + 2. Let r(k) = -3*a(k) - c(k). Calculate r(s).
-4
Let v(b) = b**2 - 8*b + 19. Let o = 970 - 965. Give v(o).
4
Let n(x) = -157*x + 26. Let t(p) = 54*p - 9. Let a(d) = 6*n(d) + 17*t(d). Give a(2).
-45
Suppose 4*m + 48 = 4*y, -y - 2 = -4. Let w(o) = -o**3 - 10*o**2 + 3*o + 28. Give w(m).
-2
Let o(h) = -3*h. Let b = 0 + 9. Let v(d) = 2 - 4 - d**3 + 9*d + 8*d**2 + 1. Let m be v(b). Calculate o(m).
3
Let h(w) be the second derivative of -w**5/5 + w**3/3 - w**2/2 + w + 258. What is h(-2)?
27
Let g(q) = -11*q**3 - 5*q**2 + q + 7. Let w(i) = 13*i**3 + 5*i**2 - 2*i - 8. Let p(h) = -6*g(h) - 5*w(h). Calculate p(-4).
-2
Let a(u) = -14*u**2 - 2. Let v(z) = -34*z**2 + z - 5. Let h(t) = 5*a(t) - 2*v(t). Suppose -s - 6 = -4. Determine h(s).
-4
Let w(v) = v**2 - 16*v + 50. Let u be w(10). Let x(z) = -z - 6. What is x(u)?
4
Let v = 371 + -378. Let a(g) = g**3 + 7*g**2 + g + 14. Calculate a(v).
7
Let w(m) = m**3 - 3*m - 4. Let v be w(-2). Let t(h) = h + 16. Let b(j) = j + 15. Let z(q) = v*b(q) + 5*t(q). Determine z(-8).
-2
Let o(r) be the first derivative of 1/30*r**5 - 1/12*r**4 + 0*r**2 - 1 + r**3 + 0*r. Let h(f) be the third derivative of o(f). What is h(3)?
10
Let v(q) = -7*q - 5. Let p(m) = -10*m - 8. Let d(z
|
{
"pile_set_name": "DM Mathematics"
}
|
- 9.
-80229*t**3
Collect the terms in 6 + 7 + 2855671*u + 14 - 28.
2855671*u - 1
Collect the terms in -10*i**2 - 305*i + 17 + 12*i**3 + 603*i - 290*i.
12*i**3 - 10*i**2 + 8*i + 17
Collect the terms in 115*a**3 + 9830*a - 5763 + 5763 - 9830*a.
115*a**3
Collect the terms in -13 - 2101*d + 14 - 691*d.
-2792*d + 1
Collect the terms in -3178*x**2 + 23*x + 12*x + 24*x - 59*x.
-3178*x**2
Collect the terms in 32 - 9062*u**2 + 8805*u**2 - 16 - 16.
-257*u**2
Collect the terms in -358*y**2 + 145*y**2 + 152*y**2 + 147*y**2 + 52*y**2.
138*y**2
Collect the terms in 0*j**2 - 465714 + 0*j**2 + 465714 - 1016*j**3 + 1013*j**3.
-3*j**3
Collect the terms in -23*c**2 + 24*c**2 + 30633*c**3 - 8157*c**3.
22476*c**3 + c**2
Collect the terms in -122*y**2 - y**3 - 93 + 121*y**2 + 93 + 590*y.
-y**3 - y**2 + 590*y
Collect the terms in 53*r**3 - 33*r**2 + 60*r**2 - 27*r**2 - 45 + r.
53*r**3 + r - 45
Collect the terms in 467*s**2 - 3*s - 54*s + 26629*s**2 + 57*s.
27096*s**2
Collect the terms in -490*c**3 - 1002*c**3 - 57*c**3.
-1549*c**3
Collect the terms in 19 - 19 - 2818*k - 2819*k - 2821*k + 11752*k - 3286*k.
8*k
Collect the terms in 1258811914*g - 24*g**3 - 1258811914*g.
-24*g**3
Collect the terms in -15*u + 18*u + 2 - 405*u**3 - 58*u**3.
-463*u**3 + 3*u + 2
Collect the terms in -10 + 7 + 10241*f**2 + 3 - 20318*f**2 + 10503*f**2.
426*f**2
Collect the terms in 328 + 342 - 1018 - 58*u + 348.
-58*u
Collect the terms in -14848*k**3 + 14801*k**3 + 5*k - 4*k.
-47*k**3 + k
Collect the terms in -35034*d**3 + 18000*d**3 + 19845*d**3.
2811*d**3
Collect the terms in -26338*o**2 + 25 - 57 + 4461*o**2 + 32.
-21877*o**2
Collect the terms in -1297347*p - 1297360*p - 1297317*p + p**2 + 3892024*p.
p**2
Collect the terms in 801 + 2*w**3 - 8*w**2 + 13*w - 7289 - 13*w.
2*w**3 - 8*w**2 - 6488
Collect the terms in -4 - o**2 + 19*o**3 + 170*o**3 - 2*o**2 - 1.
189*o**3 - 3*o**2 - 5
Collect the terms in 47644*v - 47644*v + 77822*v**2.
77822*v**2
Collect the terms in 127625292 - 21*m**3 + 224678*m**2 - 127625292 - 224678*m**2.
-21*m**3
Collect the terms in 598*n + 85*n + 5 + 491*n - 5.
1174*n
Collect the terms in -6239*h**3 - 5445*h**3 + 1 + 11690*h**3.
6*h**3 + 1
Collect the terms in -50820074*a**2 - 4*a**3 + 50820035*a**2 + 2*a**3.
-2*a**3 - 39*a**2
Collect the terms in 438142*r + 16 - 16 - 438163*r.
-21*r
Collect the terms in -257*t + 137*t**2 - 279*t**2 + 136*t**2 + 131*t + 123*t.
-6*t**2 - 3*t
Collect the terms in -43*t**3 + 2*t + 3342*t**3 - 12*t**3 - 3281*t**3 - 2*t.
6*t**3
Collect the terms in 78 + 7*r + 53 + 25*r + 60 - 36*r - 191.
-4*r
Collect the terms in 299*f - 130*f + 148 + 12*f + 2*f**3 - 181*f.
2*f**3 + 148
Collect the terms in -12*s**2 + 20*s**2 + 4221*s + 2*s**2 + 2 - 11*s**2.
-s**2 + 4221*s + 2
Collect the terms in -3*q + 191*q**2 - 1 + 2*q**2 - 1.
193*q**2 - 3*q - 2
Collect the terms in -484*o + 7 + 0 + 239*o + 182*o + 279*o.
216*o + 7
Collect the terms in 532*w + 2900*w + 1639*w.
5071*w
Collect the terms in 30*p**2 + 143*p**2 - 8*p**3 - 22*p**2 + 3*p**3.
-5*p**3 + 151*p**2
Collect the terms in -344*l + 764*l + 799*l + 143*l.
1362*l
Collect the terms in -3302*y + 2 - 3*y**2 - 2181*y - 762*y + 858*y - 3289*y.
-3*y**2 - 8676*y + 2
Collect the terms in -27798505*a**2 - 27798508*a**2 + 55597015*a**2.
2*a**2
Collect the terms in 1155*u**2 + 35*u + 1194*u**2 - 35*u - 3802*u**2 + 1302*u**2.
-151*u**2
Collect the terms in -287 - 16*k - 184 + 14*k - 426 + 151 + 27.
-2*k - 719
Collect the terms in 100*d**3 + 1 + 0 + 535477*d - 535477*d.
100*d**3 + 1
Collect the terms in -915*o**3 - 517*o**3 - 1792*o**3 - 4*o**3 - 22*o**3.
-3250*o**3
Collect the terms in 6773216*i**2 - 3386877*i**2 - 3386584*i**2.
-245*i**2
Collect the terms in -24*u - 294646689930 + 294646689930.
-24*u
Collect the terms in 11384*d**2 - 22721*d**2 + 11300*d**2 - 2.
-37*d**2 - 2
Collect the terms in o + 661*o**3 - 3*o + 679*o**3 + 2*o + 639*o**3 - 1997*o**3.
-18*o**3
Collect the terms in 9833 + 289*w**2 - 19753 + 9923.
289*w**2 + 3
Collect the terms in -201*m**2 - 925 + 1889 - 964.
-201*m**2
Collect the terms in 3*l - 3*l - 974 - 17*l**2 + 1952 - 993 + 7*l**2.
-10*l**2 - 15
Collect the terms in 3 + 785672*u + 2485572*u + 3206730*u.
6477974*u + 3
Collect the terms in -124*f + 9493103 - 4746548 - 474
|
{
"pile_set_name": "DM Mathematics"
}
|
m + 4. Let v be f(0). Solve h = 0, v*q + 3*h - 10 = 2 for q.
3
Suppose -4*y + 5 = -4*c - 15, 0 = 2*c - y + 5. Suppose c = -3*h - 0*h. Suppose 12 = -h*q + 4*q. Solve -4*n + 7 = -t, -q*t - 3 = 6 for n.
1
Let m be 148/(-28) + (-6)/(-21). Let f = 11 + m. Let w = f + -3. Solve -w*v + 5*a = -12, 0 = -2*v - 3*v - 5*a - 20 for v.
-1
Suppose 3*q + 45 = 5*h, -2*q = -2*h + q + 27. Let o be (-7 + -1)/(h/(-21)). Let n be o/6 + (-2)/(-6). Solve -2*i = -2, n*s + 5*i - 21 - 9 = 0 for s.
5
Suppose -4*c + 22 = o, -1 = -4*o + c + 19. Suppose 0*i = i - o. Let b = -3 + i. Solve -4*y + 9*y = 4*h - 25, b*y - 22 = -5*h for h.
5
Let h(g) = g**3 + 14*g**2 + 13*g + 3. Let u be h(-13). Solve 4*m - 3*s - 2*s - 9 = 0, -4*m + 1 = u*s for m.
1
Suppose -12*f + 11*f + 2 = 0. Let p be ((-38)/3)/((-2)/6). Suppose j - 4*u - 3 = 2, -4*j + p = 2*u. Solve -h = f*h - c + 8, -4*h + 3*c = j for h.
-3
Let w be 64/4 + 0 + -1. Suppose w = 5*d, 6*g - 2*d + 6 = g. Suppose 4*t - 6 - 14 = g. Solve 2*x = 5*j - 20, 0 = -2*j - 2*x - t - 1 for j.
2
Let k be (-3 - (0 - -1))/(-2). Suppose b - 10 = -b. Let l be b + -1 - 3 - -18. Solve 0*r = 5*u + r - l, -2*r - k = 0 for u.
4
Suppose -6*v = -2*v + 104. Let d be 1/(-2 - v/14). Let n = d - -10. Solve 0 = -2*h - 2, 6*h - h + 2 = n*f for f.
-1
Let f(o) = o**3 - 6*o**2 - 7*o + 5. Let b be f(7). Let c = 15 + -10. Solve -s - 2 = 3*s - r, -b*s = -5*r - c for s.
-1
Suppose m = 16 - 7. Let q = -6 + m. Solve 3*y - 24 = 3*v - 7*v, 3 = -q*y + 5*v for y.
4
Suppose -4*k = -6 - 2. Solve -5*n = 5*c + 20, 0 = k*n + 3*n + 10 for c.
-2
Let z = 3 + -2. Let a(d) = 8*d**2 - 4*d + 4*d + z. Let n be a(2). Solve 4*m + 5*u - n = 0, u + 2 = m + 5 for m.
2
Let i be ((-162)/(-135))/((-3)/(-10)). Solve 0 = -i*r + p + 3*p + 8, 0 = 4*r + 2*p + 22 for r.
-3
Suppose 0 = q - 1 - 1. Let u(b) = b**2 - 2*b - 1. Let s be u(3). Solve 4*f - q*f = 3*c - 13, 0 = -s*f - 2*c + 2 for f.
-2
Let i be (-3 + 4)*(3 - 2). Let w be i + 9 + (-1 - 1). Let n be (0 + -1)/(1/(-5)). Solve 5*p = -n*z - 20, 3*p - 5*z - 4 = w for p.
-1
Suppose 8 = 2*z - 3*g - 6, 3*g = 3*z - 18. Solve -12 = -4*l, -4*m + 4 + 0 = -z*l for m.
4
Let z(u) = -u**2 + 5*u + 3. Let m be z(5). Suppose k + m*k - 32 = 0. Let j = k + -5. Solve -12 = -3*a + j*s, 4*s + 4 = -2*a + 12 for a.
4
Let k = 8 + -10. Let p be (k - -2) + -1 + 3. Solve -3*w + s - p = 2*w, w + 4 = -s for w.
-1
Let v be 2/(-3) - (-28)/6. Solve 4 = 3*k + 4*w + 3, -5*k + v*w = 9 for k.
-1
Suppose 4*d - 3*x - 26 = 0, 0*d + 2*x - 11 = -3*d. Let s = d - -3. Solve 5*w - 4*y + s*y = -16, -5*y - 20 = -5*w for w.
0
Let q = 2 + 1. Suppose 4*f = -w + 15, -5*w = -4*f + q + 18. Solve -4*r - f*j = -16, 4*j + 3 - 25 = 2*r for r.
-1
Let u be 2 - (0 - 11)*2. Suppose x = -4*a - 11, -u = -5*x + x + a. Solve 0 = -5*v + 5*p + x, -3*v = 2*v - p + 15 for v.
-4
Let h = 178 - 178. Solve 3*i + 2*i + 20 = h, 3*q + i - 11 = 0 for q.
5
Suppose 0*m + 12 = 4*m. Let t = m + -2. Solve 8 = 4*q, -t - 3 = 4*z + 2*q for z.
-2
Suppose 0 = 4*c + 5*u - 23 - 14, u = c - 7. Let n = -3 + c. Solve -26 = -5*k + 2*h, n*k = 3*h - 2*h + 23 for k.
4
Let a = 107 - 75. Let z = a - 12. Let t(r) = r - 3. Let h be t(3). Solve z = -5*v + v + j, h = -3*v - 4*j + 4 for v.
-4
Let t be (48/(-30))/(2/(-10)). Solve 0 = k - 3*h - 0*h + 2, 0 = -4*k - 2*h - t for k.
-2
Let s(o) = 2*o + 6 + 2*o - 3*o. Let j be s(-6). Solve -4*f - q = -j*q - 5, -8 = -5*f - 3*q for f.
1
Let f(s) = s**2 - 7*s - 13. Let r be f(9). Let g be 2/(-5) + 27/r. Solve -17 = -g*m - t - 0, 0 = 2*m - 4*t + 2 for m.
3
Let o be (-59)/(-2) - (-1)/2. Let x be 1/3 + o/18. Solve -24 = -4*d + 3*r, -d - x + 13 = -2*r for d.
3
Suppose -9 = -2*m - 3*k, 3*m + 0*k + 3*k - 12 = 0. Solve -2*v + 10 = 2*l, m*v + 6 = 4*l - 14 for v.
0
Suppose 1 + 7 = 4*j. Solve -p + 0*p + 3*h + 8 = 0, j*p - 2 = -h for p.
2
Suppose 5*i - 9 = -f - 0*i, -4*f + 3*i + 82 = 0. Let g be 2/(-4) - f/(-2). Solve 0*a = 3*a + k - 7, k = a - g
|
{
"pile_set_name": "DM Mathematics"
}
|
-2004*h**3 - 1521*h**3 + 756*h**3).
5538*h**5
Expand (-4 + 0 + 2)*(-2 + 3 + 0)*(-2486*v + 2646*v + 1140*v).
-2600*v
Expand (3*x**4 - 4*x**4 + 2*x**4)*(4*x + 0*x - 2*x) - 8*x + 3264*x**5 + 10*x - 1011*x**2 - 2*x - 3250*x**5.
16*x**5 - 1011*x**2
Expand (20*y + 65*y + 4*y)*(1 + 6*y - 1).
534*y**2
Expand (0 - 2*b**3 + 0)*(-5*b + 4*b + 0*b) + 6288*b - 6288*b + 11*b**2 + 780*b**4.
782*b**4 + 11*b**2
Expand (4*h**2 + 3*h**2 - 4*h**2)*(3*h**2 - 4*h**2 + 3*h**2) - 38*h**4 + 36*h**4 - 8*h**3 + 2*h + 0*h.
4*h**4 - 8*h**3 + 2*h
Expand ((2 + 1 - 4)*(-d + 0 + 0) + 0*d + 0*d + d - 71*d + 2090 - 2090)*(-2*d + 2*d + 3*d).
-207*d**2
Expand (15 - 9 + 16)*(-c - 4*c - 2*c) - 2*c - c - 9*c.
-166*c
Expand (-11 + 4*w**2 + 11)*(0*w**2 + w**2 + 0*w**2)*(-3 + 10 - 4)*(-1 - 4 + 4) + (w**4 - w**4 + 4*w**4)*(1 - 4 + 1).
-20*w**4
Expand (2*y - 5*y - 3*y)*(y**2 + 3 - 3) - 350*y**3 - 16*y**3 - 316*y**3 + (-y**3 + 5*y**3 - 3*y**3)*(1 - 4 + 1).
-690*y**3
Expand 111 + 22 - 155*w + 158*w - 3*w + 8*w - w + (0*w - w + 0*w)*(2 - 3 + 0) - 3 + 5*w + 3.
13*w + 133
Expand (-z - 3*z + 0*z)*(1 + 0 - 5)*(-3 + 0 + 2)*(29 - 6 + 18 + 2*z).
-32*z**2 - 656*z
Expand (2*h**3 - 6*h**3 - 7*h**3)*(-147*h + 759*h**2 - 758*h**2 - h).
-11*h**5 + 1628*h**4
Expand (k + 2 - 2)*(0*k**3 + 22*k**3 + 7*k**3 + (3*k + 1 - 1)*(-11*k**2 - 215*k + 215*k) + 2*k**3 + 3*k - 3*k).
-2*k**4
Expand ((-2 + 5 - 4)*(4*h + 2*h - 3*h) + 3*h - 2*h + 0*h)*(12*h**2 - 581 - 25*h**2 - 927 + 14*h**2).
-2*h**3 + 3016*h
Expand (3*q + 0*q - q)*(-2 - 2*q**3 + 2) + q**4 + 2 - 2 + (0*q**2 - 2*q**3 + 0*q**2)*(-3*q + 4*q - 3*q) + 4*q**4 - 5*q**4 + 3*q**4 + 29*q**4 + 119*q**4 - q**4.
150*q**4
Expand 5*c**4 + 17*c**4 - 7*c**4 + (-45 + 45 + 3*c**2)*(-4*c**2 - 6*c**2 + 9*c**2).
12*c**4
Expand (35 - 1820*t - 20 - 1674*t - 15)*(-3*t + 3*t - 3*t).
10482*t**2
Expand (-89 - 38*p + 89 + (-5 + p + 5)*(1 - 3 + 0) + 5*p - 3*p - 3*p)*(6 - 156 + 2).
6068*p
Expand (1 + h - 1)*(h + h - 3*h) - 2*h**2 - 2 + 2 + (h + 2 - 2)*(3*h - 2*h + 0*h) + 1873*h**2 + 165*h**2 + 680*h**2.
2716*h**2
Expand (-2 + 6 + 1 + 3)*(-104 + 104 - 18*z + (z + 2*z - 5*z)*(1 + 0 - 3) - 5 - 5*z + 5).
-152*z
Expand -x**3 + 0*x + x - 2*x**3 - 7*x**3 - 2*x**3 + 3*x**3 + (2 - 4 - 7)*(x**3 - 2*x**3 + 5*x**3).
-45*x**3 + x
Expand (3*i + 3*i - 4*i)*((2*i + i - 6*i)*(-34 + 44 - 48) + (3 - 2*i - 3)*(-2 - 3 + 7)).
220*i**2
Expand 28 - 58 - n**3 - 243 - 344 + 12*n**3 + 344 + (n - n - n)*(4*n + n**2 - 4*n).
10*n**3 - 273
Expand 15*d**2 - 15*d**2 - d**4 - 284*d**4 - 162*d**4 + 3*d**4 + (0*d**4 - 5*d**4 + 3*d**4)*(0 - 1 + 3) + (0*d**3 - d**3 - 2*d**3)*(d - d - d).
-445*d**4
Expand (-205 - 1183 - 62 - 1649)*(0*y - y - y).
6198*y
Expand (7*z + 4*z - 6*z)*(-37*z**2 + 48*z**2 + 40 - 12).
55*z**3 + 140*z
Expand ((-3 + 4 + 0)*(4*k - 5*k + 3*k) - 8*k - 10*k + 23*k)*(-k + 0*k + 0*k)*(6 - 5 - 2) + 0*k**2 + 3*k**2 - 6*k**2.
4*k**2
Expand (0 + g + 0)*((-5*g + 0*g + 2*g)*(6 + 23 + 7)*(-3 + 5 - 10) - g - 3*g + 2*g).
862*g**2
Expand (3*v**2 + 0 + 0)*(3 - 3 - 2*v) - 217*v**3 - 294*v**3 - 71*v**3.
-588*v**3
Expand (13*a**2 - 15*a**2 - 17*a**2)*(-78 + 78 + 59*a**2 + (-6*a + 2*a + 5*a)*(-2*a + 2*a - a) - a**2 - 3*a + 3*a).
-1083*a**4
Expand ((-h + h - 2*h**2)*(3*h - h - h) + 0 - 2*h**3 + 0)*(5751*h + 317*h - 2179*h) - 3 + h**4 + 3.
-15555*h**4
Expand (-362*p + 436*p + 301*p)*(-3*p + 3*p - 5*p).
-1875*p**2
Expand (r - 3*r + 0*r)*(41*r**2 - 401915 - 7*r**2 + 401913 - 104*r).
-68*r**3 + 208*r**2 + 4*r
Expand (5*b + 3 - b + 0*b)*(19 - 14 - 8 + 13*b).
52*b**2 + 27*b - 9
Expand (7*x + 7*x + 29*x)*(11 + 9*x**4 + 11*x**4 - 11*x**4 + 26 + 7*x**4).
688*x**5 + 1591*x
Expand (3 + 1 - 2)*(0
|
{
"pile_set_name": "DM Mathematics"
}
|
e 22/(-18) - (-8)/36. Put 1, v, r in decreasing order.
1, r, v
Let h = 1123/6 - -43/12. Let r = h + -192. Sort -5, r, 0.2.
-5, r, 0.2
Let r = 31 - 46. Let n = 11 + r. Put -3, 4, n in descending order.
4, -3, n
Let o = -553492/7 + 78881. Let i = -189 - o. Sort i, 0.5, 4 in ascending order.
i, 0.5, 4
Suppose -16*g = -14 + 14. Suppose 5*n + l = -0*l + 12, -2*n - 4*l = -12. Put n, -2, g in descending order.
n, g, -2
Suppose 24 = 5*m + 2*y, -1 = m + 4*y - 13. Let h be (22/(-110))/((-2)/10) - -2. Put h, 5, m in ascending order.
h, m, 5
Suppose -5*x + 8*x = 0. Put x, 1, 3 in ascending order.
x, 1, 3
Suppose 3 = -3*b - 3. Let c(r) = r**2 + 1. Let a be c(-2). Suppose -y + 37 = -a*l + 12, 4*l = 5*y - 20. Put -3, b, y in increasing order.
-3, b, y
Let u(h) = h**2 - 6*h + 2. Let z be u(5). Let q = z - -2. Let r = 4 - 0. Sort -2, r, q in decreasing order.
r, q, -2
Let n be 6 - (-4)/(-1) - 2. Put n, -2, 5 in increasing order.
-2, n, 5
Let w = 27 - 24. Put w, 11, -5 in increasing order.
-5, w, 11
Suppose 6 = -3*u + 9. Put 7, 5, u in descending order.
7, 5, u
Suppose 0 = -4*y + 5*g - 19, -4*y = -5*y + 2*g - 7. Sort 7, 4, y in increasing order.
y, 4, 7
Let u be (2 + 0)/(-1 + 3). Let z = 2 + 0. Suppose 3*w + c = 6*w - 8, -4 = -c. Sort z, u, w.
u, z, w
Suppose j = 5*k + 22, -j - 3*k - 10 = -0. Suppose b - 4*o - 3 = 0, -j*b - 3*b + 4*o = -31. Sort 1, b, -1 in decreasing order.
b, 1, -1
Suppose -2*k - 12 = -10. Sort k, -4, 0.
-4, k, 0
Suppose -3*j = 3*t + t - 31, t = -j + 9. Suppose z - t*z = 3. Sort z, 4, 3 in ascending order.
z, 3, 4
Let o(t) = t - 6. Let s be o(-3). Sort 0, -3, s, -2.
s, -3, -2, 0
Suppose 2*p - 4*u = -u - 14, -5*p + 4*u - 21 = 0. Let t(j) = 8*j - 1. Let a(x) = x. Let v(y) = 6*a(y) - t(y). Let n be v(2). Put n, 2, p in ascending order.
n, p, 2
Let o(n) = n - 13. Let a be o(9). Let i be (2 - 2)*2/a. Let z be -3 + 3 - (2 + i). Put -2/9, z, -0.3 in decreasing order.
-2/9, -0.3, z
Let u be (-2)/(-3)*-4 + 1. Let o = 0.144 - -0.156. Sort -0.5, u, o.
u, -0.5, o
Let d(y) = -y**3 + 9*y**2 + 2*y - 17. Suppose -6*j + 7*j = 9. Let o be d(j). Suppose p = -0*p + 2. Sort o, p, 4.
o, p, 4
Let a = 38 + -22. Let v = a - 14. Let f(x) = x**2 - 4*x + 5. Let p be f(4). Put -1, v, p in increasing order.
-1, v, p
Let u = 0.016 - 0.116. Put 1/3, 2, -0.4, u in increasing order.
-0.4, u, 1/3, 2
Let i = 2 + 2. Sort -4, i, -0.5 in increasing order.
-4, -0.5, i
Suppose -m = 3*m - 12. Let a(l) = -l**2 + 2*l - m - 2 + 6. Let g be a(3). Sort 4, g, -1 in descending order.
4, -1, g
Let z = -17 + 20. Put z, 2, 1 in increasing order.
1, 2, z
Suppose -2*p + 4 = 2*p. Let y(b) = 2*b - 9. Let d be y(4). Sort d, p, 2 in increasing order.
d, p, 2
Let t = -19 + 21. Sort t, -4, 18 in descending order.
18, t, -4
Let j be 5 + -8 + (-12)/(-3). Suppose 5*b - 2*f = 3, 3*f + 10 = 2*b - 0. Let w = 8 + -10. Put b, w, j in ascending order.
w, b, j
Let l be (8*1)/(-11 + 13). Let k be l/10 - (-22)/(-80). Let z = 6 + -2. Put z, k, 5 in increasing order.
k, z, 5
Let b = -0.7 - -0.2. Let t be -1 + ((-132)/(-32) - 3). Put -4, t, b in descending order.
t, b, -4
Suppose -3*k + 5*w + 18 = 0, -8 = -k + 2*w - 1. Sort 4, -9, k in increasing order.
-9, k, 4
Suppose -2*i = i. Suppose -t + 0*t - 5*f - 14 = i, -2*t - f = 1. Let p be (4/8)/(2/(-20)). Put 2, t, p in descending order.
2, t, p
Let m = -0.087 + 0.087. Sort 1.6, m, -4/7 in descending order.
1.6, m, -4/7
Let k(f) = f**2 + 6*f - 2. Let a be k(-6). Let t = 14 - 10. Put t, 0.5, a in descending order.
t, 0.5, a
Suppose -16 + 17 = -m. Sort -5, -2, m, 5 in descending order.
5, m, -2, -5
Let h be 25/(-15)*(-9)/10. Sort h, 1/8, 0.06 in descending order.
h, 1/8, 0.06
Let o = -3 - -8. Let f = 8 - o. Suppose g - 4 = -n - 10, 5*n = 5*g - 10. Sort f, 5, g in increasing order.
g, f, 5
Let n(o) = -2*o - 49. Let p be n(-25). Put -0.4, 4/5, -0.26, p in descending order.
p, 4/5, -0.26, -0.4
Suppose -o = -4*c + 15 - 3, -4*o + 16 = 0. Let s be (2/(-1))/(-1) - 7. Sort -4, s, c.
s, -4, c
Let v = -21 - -20.8. Let i = 0.7 + 2.3. Let l = i + -3.1. Put -1, l, v in increasing order.
-1, v, l
Let b = -0.06 + 0.07. Let w = -0.31 + b. Let c be ((-1)/(1 + -8))/1. Sort c, 2/3, w in descending order.
2/3, c, w
Let m = 0.4 + 0.6. Let f = 0.3 - 5. Let r =
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 1543 to the power of 1/2, to the nearest integer?
39
What is 1424 to the power of 1/3, to the nearest integer?
11
What is the square root of 5217 to the nearest integer?
72
What is 43053 to the power of 1/8, to the nearest integer?
4
What is 6449 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 178699 to the nearest integer?
4
What is 37534 to the power of 1/7, to the nearest integer?
5
What is 227 to the power of 1/2, to the nearest integer?
15
What is 11390 to the power of 1/2, to the nearest integer?
107
What is 95309 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 56888 to the nearest integer?
3
What is the cube root of 3902 to the nearest integer?
16
What is 3860 to the power of 1/3, to the nearest integer?
16
What is 569 to the power of 1/10, to the nearest integer?
2
What is the ninth root of 3117 to the nearest integer?
2
What is 24502 to the power of 1/2, to the nearest integer?
157
What is the square root of 397 to the nearest integer?
20
What is the ninth root of 1038 to the nearest integer?
2
What is 7136 to the power of 1/2, to the nearest integer?
84
What is 8105 to the power of 1/8, to the nearest integer?
3
What is the square root of 7463 to the nearest integer?
86
What is 858 to the power of 1/5, to the nearest integer?
4
What is 60677 to the power of 1/7, to the nearest integer?
5
What is the fourth root of 544 to the nearest integer?
5
What is the third root of 17221 to the nearest integer?
26
What is 185 to the power of 1/2, to the nearest integer?
14
What is 2683 to the power of 1/6, to the nearest integer?
4
What is the third root of 13206 to the nearest integer?
24
What is 2615 to the power of 1/2, to the nearest integer?
51
What is the square root of 10182 to the nearest integer?
101
What is the square root of 1936 to the nearest integer?
44
What is 191 to the power of 1/4, to the nearest integer?
4
What is the square root of 4586 to the nearest integer?
68
What is 16903 to the power of 1/4, to the nearest integer?
11
What is the tenth root of 5983 to the nearest integer?
2
What is 2162 to the power of 1/3, to the nearest integer?
13
What is 26204 to the power of 1/10, to the nearest integer?
3
What is 21148 to the power of 1/9, to the nearest integer?
3
What is 446 to the power of 1/2, to the nearest integer?
21
What is the third root of 6116 to the nearest integer?
18
What is the tenth root of 24617 to the nearest integer?
3
What is the square root of 893 to the nearest integer?
30
What is 123105 to the power of 1/2, to the nearest integer?
351
What is 6518 to the power of 1/3, to the nearest integer?
19
What is the fifth root of 10002 to the nearest integer?
6
What is the square root of 6761 to the nearest integer?
82
What is 20753 to the power of 1/5, to the nearest integer?
7
What is 123349 to the power of 1/3, to the nearest integer?
50
What is the fourth root of 72495 to the nearest integer?
16
What is 29073 to the power of 1/4, to the nearest integer?
13
What is the seventh root of 66535 to the nearest integer?
5
What is the square root of 396 to the nearest integer?
20
What is 1528 to the power of 1/2, to the nearest integer?
39
What is 2529 to the power of 1/2, to the nearest integer?
50
What is the cube root of 16372 to the nearest integer?
25
What is the square root of 29153 to the nearest integer?
171
What is the square root of 35989 to the nearest integer?
190
What is the cube root of 5843 to the nearest integer?
18
What is 1472 to the power of 1/2, to the nearest integer?
38
What is 44911 to the power of 1/6, to the nearest integer?
6
What is the square root of 2042 to the nearest integer?
45
What is 6879 to the power of 1/2, to the nearest integer?
83
What is the third root of 6223 to the nearest integer?
18
What is 61103 to the power of 1/3, to the nearest integer?
39
What is the tenth root of 21088 to the nearest integer?
3
What is 1004 to the power of 1/2, to the nearest integer?
32
What is 441 to the power of 1/2, to the nearest integer?
21
What is the third root of 3674 to the nearest integer?
15
What is 2947 to the power of 1/8, to the nearest integer?
3
What is 74505 to the power of 1/2, to the nearest integer?
273
What is the third root of 932 to the nearest integer?
10
What is the square root of 29052 to the nearest integer?
170
What is 6669 to the power of 1/10, to the nearest integer?
2
What is 6077 to the power of 1/4, to the nearest integer?
9
What is the tenth root of 879 to the nearest integer?
2
What is the tenth root of 5374 to the nearest integer?
2
What is 590 to the power of 1/5, to the nearest integer?
4
What is the seventh root of 1756 to the nearest integer?
3
What is the third root of 17565 to the nearest integer?
26
What is the fifth root of 1760 to the nearest integer?
4
What is the third root of 2252 to the nearest integer?
13
What is 1031 to the power of 1/2, to the nearest integer?
32
What is 25616 to the power of 1/6, to the nearest integer?
5
What is the square root of 833 to the nearest integer?
29
What is the fourth root of 503 to the nearest integer?
5
What is the eighth root of 3759 to the nearest integer?
3
What is 431 to the power of 1/2, to the nearest integer?
21
What is 37140 to the power of 1/2, to the nearest integer?
193
What is 7079 to the power of 1/2, to the nearest integer?
84
What is the cube root of 2028 to the nearest integer?
13
What is 92593 to the power of 1/8, to the nearest integer?
4
What is the third root of 302 to the nearest integer?
7
What is 4073 to the power of 1/4, to the nearest integer?
8
What is the fourth root of 384 to the nearest integer?
4
What is the cube root of 588 to the nearest integer?
8
What is 153796 to the power of 1/2, to the nearest integer?
392
What is 13377 to the power of 1/3, to the nearest integer?
24
What is the third root of 8812 to the nearest integer?
21
What is 46056 to the power of 1/3, to the nearest integer?
36
What is the cube root of 1850 to the nearest integer?
12
What is 52023 to the power of 1/8, to the nearest integer?
4
What is the square root of 14379 to the nearest integer?
120
What is the cube root of 3764 to the nearest integer?
16
What is the square root of 1962 to the nearest integer?
44
What is 22958 to the power of 1/2, to the nearest integer?
152
What is 25090 to the power of 1/2, to the nearest integer?
158
What is the square root of 19652 to the nearest integer?
140
What is the square root of 446 to the nearest integer?
21
What is 822 to the power of 1/2, to the nearest integer?
29
What is the square root of 197 to the nearest integer?
14
What is 49400 to the power of 1/7, to the nearest integer?
5
What is the ninth root of 4936 to the nearest integer?
3
What is 4877 to the power of 1/4, to the nearest integer?
8
What is the seventh root of 3672 to the nearest integer?
3
What is 1195 to
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -b + 83 = 2*j, t = 4*b + 12 + 8. Is (3/(-6))/((-2)/j) a multiple of 11?
True
Let y = -11 - -29. Suppose -4*g + 70 = y. Does 5 divide g?
False
Let r be (0 - -1)*2 + 3. Suppose r*l = -10 + 50. Does 4 divide l?
True
Suppose -4*v - 2*n + n + 9 = 0, 4*v - 3*n - 5 = 0. Suppose 0*x - 5*u = -4*x + 25, x + 3*u - v = 0. Is x even?
False
Is 3/((-4)/6*(-9)/78) a multiple of 15?
False
Let u = -238 - -341. Let z = -65 + u. Is z a multiple of 13?
False
Suppose l + 3*h - 12 = 0, -115 = -5*l - 2*h - 2*h. Does 12 divide l?
False
Suppose t - 28 = -3*t. Suppose 0 = 2*x + 3 + t. Does 17 divide (2/x)/((-4)/340)?
True
Let y = 104 - 68. Is 4 a factor of y?
True
Let g(v) = -6 + 2 + 1 + v**2 + v**2. Does 10 divide g(-3)?
False
Suppose 4 = 3*p + 10. Does 13 divide (1 - p) + 36/3?
False
Let w = 32 + -30. Is w a multiple of 2?
True
Suppose i = -5*i + 306. Does 17 divide i?
True
Let x = -7 - -28. Is x a multiple of 7?
True
Suppose 3*k + 0*k - 3 = 0. Let o = 9 + k. Is o a multiple of 10?
True
Let x(d) = 2*d - 6. Let t be x(4). Suppose 2*m - 3*p = -3, t*p - 35 = -5*m + p. Is 4 a factor of m?
False
Let q be (6 - 3) + (1 - 1). Let h be q/(0 - 6/(-40)). Let d = -9 + h. Is 11 a factor of d?
True
Is 26 a factor of 447/6 + (-3)/(-2)?
False
Suppose -3*a + a + 66 = 2*z, -63 = -2*z - 5*a. Does 17 divide z?
True
Does 20 divide (-595)/14*(-12)/5?
False
Let z = 6 - -21. Suppose 4*l = l + z. Is l a multiple of 9?
True
Let v be 4/(-18) + (-224)/(-36). Let c(z) = z**3 - 4*z**2 - 1. Let u be c(v). Suppose 3*a + 0*a - 124 = 2*q, u = 2*a + q. Is 19 a factor of a?
True
Let x(m) = 6*m + 4. Let f be x(3). Suppose 5*t = 4*t - f. Let h = t + 40. Is h a multiple of 18?
True
Suppose 2 - 18 = -4*w. Suppose z = 5*n + 2*z - 210, w*n = -5*z + 147. Let q = -26 + n. Does 8 divide q?
False
Suppose 0 = 2*k + 5*r - 10, 4*k - 34 = -r - 2*r. Is 2 a factor of k?
True
Let f(q) = -q**3 - 2*q**2 - 2*q - 1. Let v be f(-1). Suppose -o = 3*x - 7, 45 = 3*o + x - v*x. Does 16 divide o?
True
Let o(u) = u**2 + 11*u - 1. Let m be o(-6). Let s = 8 + -23. Let q = s - m. Is q a multiple of 16?
True
Let i = 12 - 8. Suppose i = -4*c - 0. Let u(k) = 21*k**2 + k + 1. Is 18 a factor of u(c)?
False
Suppose 4*w - 12 = w. Suppose -5*g - w*v = -42, v - 20 = -3*g - 4*v. Is g a multiple of 6?
False
Suppose 5*c - 2 - 8 = 0. Does 21 divide 88 + (c - 1)*-3?
False
Is 3 + (-2 + 0)*-23 a multiple of 23?
False
Is 9 a factor of 1310/30 - 4/(-3)?
True
Let r(q) = -q**3 - 3*q**2 - 4*q - 6. Let x be 3 + (-5 - 3) + 1. Does 7 divide r(x)?
False
Let a(o) = 3*o**2 - o + 1. Let h be a(1). Suppose 228 - 81 = h*t. Does 19 divide t?
False
Let v(d) = d + 10. Let x(f) = f**3 + 4*f**2 + 3*f. Let z be 2*6/8*-2. Let u be x(z). Is v(u) a multiple of 5?
True
Suppose 3*h + 3*g = -2*h + 72, 4*h + 3*g = 57. Is 15 a factor of h?
True
Let c(s) = -s**2 - s - 1. Let h(q) = -4*q + q - q**2 + 4 - q. Let u(g) = -2*c(g) + h(g). Is 19 a factor of u(5)?
False
Suppose -2*f + 25 = 3*f. Suppose f + 5 = 2*g. Suppose 3*t - 3*h - 60 = 0, -2*t + 2*h - 60 = -g*t. Does 10 divide t?
True
Suppose 6*d - 2*d + 25 = -5*k, 5*d + k = -5. Suppose -2*f - w = 24, -f + 4*w - 21 = -d*f. Let v = f - -23. Is v a multiple of 8?
False
Let o(s) be the second derivative of -s**3/6 - 9*s**2 - s. Let z be o(-11). Let a = z - -20. Is a a multiple of 13?
True
Let k(z) be the second derivative of z**5/20 + 2*z**4/3 - 2*z**3 - 2*z**2 - 2*z. Let y be k(-9). Let o = y - 4. Does 8 divide o?
False
Let d = -167 - -281. Suppose -4*k - 21 = w - 72, -3*w + d = -k. Suppose -3*p + 0*p + w = 0. Is p a multiple of 13?
True
Let m = -66 - -87. Does 2 divide m?
False
Suppose o + 4*o + 35 = 0. Let d(y) = -y + 8. Is d(o) a multiple of 11?
False
Suppose 3*n - 5*s - 55 = -2*n, -4*n + 49 = -3*s. Suppose 0 = -0*b - b + 4. Suppose b*o = 224 - n. Does 19 divide o?
False
Let g = 2 - -1. Let t = -9 + g. Let r(q) = q**2 + 5*q + 8. Is r(t) a multiple of 7?
True
Let r(s) = s**2 + 4*s - 3. Let p be r(-5). Let l(q) = -2*q**p + 3*q**2 + 0*q**2 - 8 + 0*q - 4*q. Does 13 divide l(7)?
True
Let r(y) = y**2 + 7*y + 8. Suppose 201 - 67 = 5*j - 2*k, -3*k = 6. Suppose -5*l = -p + 36, 4 - j = 3*l - p. Is r(l) a multiple of 3?
False
Let d = 250 - 203. Does 10 divide d?
False
Suppose 4*w - 82 = -266. Is 16/24 + w/(-3) a multiple of 16?
True
Suppose 109 = -3*c - 5*f, 2*c + f + 78 + 4 = 0. Let k = c + 99. Suppose 80 = 4*u - k. Is 17 a factor of u?
True
Let j = 3 + -4. Let z = j - -10. Is 4 a factor of z?
False
Let a(w) be the third derivative of w**4
|
{
"pile_set_name": "DM Mathematics"
}
|
/(f**(-2/5)/f)))/f*f) assuming f is positive.
f**(26/15)
Simplify ((s**(-3)*s)/(((s*s**(-5)*s)/s*s)/s))/((s*s**(-2/13))/((s**(-2/3)/s)/s)) assuming s is positive.
s**(-59/39)
Simplify k**(5/2)*k**(-2) assuming k is positive.
sqrt(k)
Simplify (n*n/((n**5/n)/n))/(n/(n*n*n*n/(n/n**3)*n*n*n))*n**(-4)*n*(n*n**(-5))/n assuming n is positive.
1/n
Simplify ((l**3*l*l)**(8/9))**(-5/7) assuming l is positive.
l**(-200/63)
Simplify (i*i**(-1/4)/i)**(-1/32) assuming i is positive.
i**(1/128)
Simplify (t/(t/(t*t**(-3))))**(-39) assuming t is positive.
t**78
Simplify ((x**(-2/3)/x)/x)/(x/((x/(x/(x**(5/6)*x)))/x))*(x/((x*x*(x/((x*x*x**9)/x))/x)/x)*x*x)/x**(2/19) assuming x is positive.
x**(1033/114)
Simplify (c/(c/(c**(-2/29)/c)))**(-2) assuming c is positive.
c**(62/29)
Simplify c**(-2/13)*c*c**(-1/6) assuming c is positive.
c**(53/78)
Simplify (x/((x**(-1)*x)/x*x))**27/(x**(-2/5)/x**(4/3)) assuming x is positive.
x**(431/15)
Simplify n**(-2)/(n**(3/11)/n*n) assuming n is positive.
n**(-25/11)
Simplify (p/(p*p*p**(-1/2)*p)*p)**(2/139) assuming p is positive.
p**(-1/139)
Simplify ((k**(3/10)/k)/((k**(1/7)*k)/k))**47 assuming k is positive.
k**(-2773/70)
Simplify (c*c**(-6/7))/c**(-1/4) assuming c is positive.
c**(11/28)
Simplify (r**1*r)/r**(-9/7) assuming r is positive.
r**(23/7)
Simplify (l**12)**(-2/109) assuming l is positive.
l**(-24/109)
Simplify ((j/j**(-10)*j*j)/j)**(-16) assuming j is positive.
j**(-192)
Simplify (w**(-7)/(w/(w/(w/w**7))))**(-8/13) assuming w is positive.
w**(8/13)
Simplify (p**12/((p**(-7/3)/p)/p))**(-4/35) assuming p is positive.
p**(-28/15)
Simplify (m**0)**(2/15)*m*m/(m**(2/25)*m)*m*m*m/m**(1/4) assuming m is positive.
m**(367/100)
Simplify (p**(2/3)*p)**(5/12)/((p/p**5)/p**(-2/11)) assuming p is positive.
p**(1787/396)
Simplify (u/(u*u**2))/u*u*u*u**(2/3)*(u*u**(2/5))**45 assuming u is positive.
u**(188/3)
Simplify j/j**(-25)*(j**(-19/3)*j)/j assuming j is positive.
j**(59/3)
Simplify (h**(2/11)*h**(1/4)/h)/((h/(h**(-1)*h))/h)**(-28) assuming h is positive.
h**(-25/44)
Simplify (n**(-2/7))**24 assuming n is positive.
n**(-48/7)
Simplify q/(q/(q**(2/5)/q))*q**(-29) assuming q is positive.
q**(-148/5)
Simplify (t/t**(-7/3))/((t/t**(-6)*t*t*t)/t) assuming t is positive.
t**(-17/3)
Simplify x**(1/6)*(x/(x*x/(x**27/x)))/x assuming x is positive.
x**(145/6)
Simplify (f**(8/7))**(2/75) assuming f is positive.
f**(16/525)
Simplify ((b*b/(b/b**(-6)))/(b**(-1/4)/b*b))/((((b**6/b*b)/b)/b*b)/(b**(4/7)/b)) assuming b is positive.
b**(-285/28)
Simplify (z**(-1)/(((z**(-2/25)/z)/z)/z))/(z*z**(4/7)*z*((z*z/z**0)/z)/z) assuming z is positive.
z**(-86/175)
Simplify (z**(-3/14)*z)/(z**(-26)*z) assuming z is positive.
z**(361/14)
Simplify n*n**(-5/16)*n**(-11) assuming n is positive.
n**(-165/16)
Simplify r**(1/25)*r*r**(-6)*r assuming r is positive.
r**(-99/25)
Simplify x**(-10)*x*x**1*x*x**4/(x/x**(1/4)) assuming x is positive.
x**(-15/4)
Simplify m/m**(-27)*m*m*m*m**(-2/21) assuming m is positive.
m**(649/21)
Simplify (p*p**(-26))/(p*p**(3/8)) assuming p is positive.
p**(-211/8)
Simplify b**(-5)/(b/(b/((b/(b/(b*b**7))*b)/b)))*(b*b**(2/9))/((b*b**(-1/4))/b*b) assuming b is positive.
b**(-451/36)
Simplify o**(-36)/o**(-11) assuming o is positive.
o**(-25)
Simplify n**(-33)/(n/(n**(7/2)/n)) assuming n is positive.
n**(-63/2)
Simplify (y**(2/19)*y*(y**(-1/6)/y)/y)**(-8) assuming y is positive.
y**(484/57)
Simplify (o*o/((o/((o/(o*o*o**(-11)*o))/o))/o))/o*o**8 assuming o is positive.
o**17
Simplify (j*j/(j/(j*j*j**(-1/2)/j))*j*j*j/(j*j*j**3))**(1/15) assuming j is positive.
j**(-1/30)
Simplify p**(2/63)/((p**(-5)/p)/p) assuming p is positive.
p**(443/63)
Simplify (j**17)**35 assuming j is positive.
j**595
Simplify (f/(f/f**3*f))/(f*f**(2/111)) assuming f is positive.
f**(109/111)
Simplify ((f*(f/((f*f**(-1/5))/f*f))/f)**(-2/15))**47 assuming f is positive.
f**(-94/75)
Simplify (((v/((v**3*v)/v))/v)**(-26/7))**17 assuming v is positive.
v**(1326/7)
Simplify (n*n**4)**(-6/13) assuming n is positive.
n**(-30/13)
Simplify (((m*(m*m**(15/4))/m)/m)/m)/(m*((m/m**(-28))/m)/m*m) assuming m is positive.
m**(-105/4)
Simplify (a/a**(-3))**(-47) assuming a is positive.
a**(-188)
Simplify (p*p*p**(1/6))/(((p*p**6)/p)/p)*(p**(-1))**(-36) assuming p is positive.
p**(199/6)
Simplify (j**(2/27)/(j*j**(-8)*j))/(j**(2/27)/j*j*j*j**2*j) assuming j is positive.
j**2
Simplify u**15*u/(u**(-1/7)*u) assuming u is positive.
u**(106/7)
Simplify a/((a/a**(19/3))/a)*a**(-13) assuming a is positive.
a**(-17/3)
Simplify (i**7)**(-2/57) assuming i is positive.
i**(-14/57)
Simplify (m**(-1/5))**(-2/9)*(m**(-2))**(-2/39) assuming m is positive.
m**(86/585)
Simplify (g**(1/4)*g*g*g**(1/3)/g)/(g*g/(g**(-5)*g*g)*g/g**(-3/7)*g)
|
{
"pile_set_name": "DM Mathematics"
}
|
rrange 0 - 4*i**2 + 1 + 22*i**2 - 34*i**2 - 2*i + 0*i - 8*i**3 to the form a*i**2 + j + p*i**3 + t*i and give a.
-16
Rearrange -w**3 + 3*w + 3*w**4 + 5*w**4 - 33*w**3 + 3*w**4 + 40*w**3 to the form r*w**4 + n + z*w + x*w**3 + l*w**2 and give x.
6
Express (7 - 6*q**3 - 7)*(3*q - 4*q + 3*q) + 0*q**4 - 2*q**4 - 3*q**4 in the form n + c*q + i*q**3 + w*q**2 + l*q**4 and give l.
-17
Express -2*m**3 - 3*m + 3*m + (-m**3 - m**2 + m**2)*(1 - 4 + 2) - m - 2*m**3 + m - 4532*m + 4532*m + 278*m**3 as j*m**3 + o + s*m**2 + d*m and give j.
275
Express (-398 + 858 - 354)*(0*a - 3*a + 4*a + (0*a - 3*a + a)*(0 - 4 + 3)) in the form b*a + v and give b.
318
Express (3*c - 2 + 2)*((-c + 3*c - 4*c)*(7752 + 75*c - 7752) - 2*c**2 + 4*c**2 + c**2) in the form s*c + l*c**2 + a + j*c**3 and give j.
-441
Rearrange (3*n - 3*n - n)*(960*n - 100*n - 122*n + 76*n) to d*n**2 + w*n + b and give d.
-814
Rearrange (-42*z**2 - 9*z**2 + 6*z**2 + (z - 2*z - 3*z)*(-2*z - z + z) - 2*z**2 - 3*z**2 + 7*z**2)*(z - 4*z + z) to f*z + n + x*z**3 + o*z**2 and give x.
70
Express (2 + 5 - 3)*(-103*x - 28 - 108*x + 313*x - 101*x) in the form l*x + a and give a.
-112
Rearrange r**2 + 3 + 4*r + 2*r + 7*r - 11*r + r**3 to the form k*r**3 + t*r**2 + j + l*r and give k.
1
Rearrange -n - 1 - 9*n**2 - n + 13*n**2 to c*n + w + r*n**2 and give r.
4
Express -8*d**2 + 4*d**2 - 4*d**4 - 2*d - d**2 + 6*d**2 - 2*d**3 - 3*d**2 + 2 as f + p*d**4 + g*d + a*d**3 + o*d**2 and give a.
-2
Rearrange 181*a + 219*a + 64*a + 233*a to the form v + o*a and give o.
697
Express (-3*n**3 + 26*n**3 + 3*n**3)*(-12 + 4 + 6) + n**3 - 5*n**3 + 2*n**3 + (4 - n**2 - 4)*(4*n - 4*n + 2*n) as i*n**2 + q*n + o + w*n**3 and give w.
-56
Rearrange (1 - 2*n**4 - 1)*(-72 + 371 + 121 - 96 + 333) to i*n**4 + l + m*n**2 + h*n**3 + c*n and give i.
-1314
Rearrange 5*b**2 - 2*b**3 + 7*b - 3*b + 4*b**3 + 3 - b**4 - 7*b to t*b + z*b**4 + a*b**2 + x + p*b**3 and give z.
-1
Express 1 - 193*x**2 + 2 - 2 + 728*x**2 in the form r*x + l + g*x**2 and give g.
535
Rearrange -316*h + 22*h + 525 - 527 to k*h + p and give k.
-294
Rearrange -44*n**3 + 0 + 3 - 4 + 52*n**3 to l*n + w + j*n**2 + a*n**3 and give w.
-1
Express 3*r**4 - 4*r**4 - 3*r**3 + 386 - 10*r**2 + 2*r - 385 as b*r**2 + p*r**4 + c + q*r + v*r**3 and give v.
-3
Rearrange 52 - 31 + l**2 - 9*l**3 - 17 + 2*l to the form s*l**2 + m*l + c*l**3 + q and give c.
-9
Rearrange -7*a**4 - 39*a**3 + 4 + a**4 - 3 + 5*a + 37*a**3 to the form b*a + v*a**4 + w*a**2 + g + n*a**3 and give g.
1
Rearrange 3*n**3 - 59*n**2 - 58*n**2 + 120*n**2 + (1 - 1 - n)*(3*n + 0*n - n)*(2*n + 2*n - 3*n) to the form j*n**3 + g + a*n**2 + r*n and give a.
3
Express (-12 + 34 - 15)*(-s + 6*s - 2*s) in the form q*s + f and give q.
21
Express 3*a**2 + 7*a + a**4 + a**2 - a**3 - 1 - a**3 + a**2 - 24*a in the form i*a + v*a**4 + s*a**3 + x + b*a**2 and give b.
5
Express (1864*p**3 - 10036*p + 2 + 10036*p)*(5*p - 4*p + 0*p) in the form j*p**4 + k*p + f + i*p**2 + t*p**3 and give k.
2
Rearrange 1392*q**2 - 343*q**2 + 491*q**2 to the form h*q**2 + c + d*q and give h.
1540
Rearrange -2 + 3*s + 1 - 8*s - s + 0*s - 3*s + (1 - 1 - 1)*(6*s + 4*s - 6*s) to the form k + a*s and give k.
-1
Express -38*q + 30 - 30 + (-4*q + 2*q + q)*(0 - 4 + 2) + q - q + 2*q - q + 0*q - 12*q as l*q + i and give l.
-47
Express -477 - 43*z + 2*z**2 + 16*z + 26*z in the form h*z + r + l*z**2 and give h.
-1
Express 97 + 85 + n**2 + 2*n + 8 in the form h*n**2 + t*n + y and give t.
2
Rearrange (52 + 8*c**2 - 52)*(2 - 5 + 2)*(-1 + 1 + 3*c) to q + g*c**3 + s*c**2 + j*c and give g.
-24
Rearrange (3*d - 3*d + 3*d)*(d - 3*d + 3*d)*(-5 + 17 + 6) to k*d + s*d**2 + r and give s.
54
Rearrange -29747*u - 2089*u**2 + 29747*u to i*u**2 + x + s*u and give x.
0
Express (2 + 5 - 3)*(11*k + 3*k + 2417 - 2427)*(1 + 2 - 4)*(-k**3 + k**3 - k**3) as t*k + n*k**2 + o*k**3 + l + r*k**4 and give r.
56
Rearrange 24765 - 26*p + 2*p**2 - 24765 to n*p + b*p**2 + g and give b.
2
Rearrange (2 - 2*a
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 20451
Simplify 4*((sqrt(567)*-1 + 1 - sqrt(567))*-5 + (sqrt(378)/(sqrt(6)*2))/(-5*sqrt(144)))**2.
-3599*sqrt(7) + 90709607/400
Simplify ((sqrt(65)/sqrt(5) + 2 - sqrt(13) - sqrt(13)) + 0 + -2 + sqrt(13) + 5)**2 + (3*sqrt(13) + 4)**2*4*1.
96*sqrt(13) + 557
Simplify (sqrt(616)/(sqrt(77)/sqrt(7)) - (4*sqrt(616))/sqrt(11))/(-4*5*sqrt(512)*-3) + 5.
-sqrt(7)/160 + 5
Simplify (sqrt(20) - sqrt(60)/sqrt(3)*6)/(sqrt(10) + (sqrt(10) - (sqrt(360) - sqrt(360)*-3 - sqrt(10)))) - (2*sqrt(8)*4 - sqrt(8) - (sqrt(40)*-1)/sqrt(5)).
-331*sqrt(2)/21
Simplify -3*((3*(2*sqrt(192))**2 - (2 + (sqrt(192) + 1)**2)) + -1)*-1*2.
-96*sqrt(3) + 12648
Simplify ((6*sqrt(99)*-2*3*-5)/(sqrt(225)*3 - -4*1*sqrt(9)))**2.
356400/361
Simplify (2*(0 + (sqrt(832) + 3 - sqrt(13)) + sqrt(130)/sqrt(40) + -2 + sqrt(52)))**2 + 3.
76*sqrt(13) + 4700
Simplify 1*((sqrt(13) - (3 + sqrt(13) + -3)) + 2) + (sqrt(91)/sqrt(7)*1)**2 + sqrt(13)*1*4.
4*sqrt(13) + 15
Simplify -5 + ((-2 + sqrt(425)*-2 + 3)*-2 - ((sqrt(425) - sqrt(425)*3)*-6 + (sqrt(425) - (sqrt(425) + 0 + -3))))**2.
400*sqrt(17) + 27220
Simplify 5 + ((sqrt(99) - 5*2*sqrt(99)) + sqrt(99) + sqrt(99) + -6*2*sqrt(99))/((sqrt(81) - -2*(sqrt(81) + sqrt(81)*1 + sqrt(81)))/sqrt(9))*-3*4.
5 + 228*sqrt(11)/7
Simplify (-3*((sqrt(17) + 1 + sqrt(1700))*4 + ((sqrt(119)*2)/sqrt(7) - (5 + sqrt(68)/sqrt(4)))))**2 + 5 + -1.
-810*sqrt(17) + 309838
Simplify -3*(3*((sqrt(153) - (sqrt(153) - (-1 + sqrt(153)))*-5)*-6 + -1*sqrt(153) + sqrt(153) + sqrt(153) + -5 + 1 + sqrt(153) + -1 + sqrt(153)))**2 + 5.
-70249 - 17010*sqrt(17)
Simplify ((sqrt(256) - (sqrt(256) + 1*sqrt(256)))*4)/(2*sqrt(288)*1 + sqrt(288))*4.
-32*sqrt(2)/9
Simplify ((sqrt(432) + sqrt(432) + 2*(sqrt(432) + 1) + sqrt(432) + (sqrt(432) - 5*sqrt(432) - sqrt(432)) + 4 + sqrt(432))*5*5)**2.
90000*sqrt(3) + 292500
Simplify -1 + ((2*sqrt(72)/sqrt(3))/(sqrt(66)/(sqrt(22)/sqrt(2))))/((sqrt(4) + sqrt(4) + 6*sqrt(8)/sqrt(2) + sqrt(4))/(sqrt(242) - (-2*sqrt(242) - sqrt(242)))).
-1 + 88*sqrt(2)/9
Simplify (-5 + (1 + 3 + sqrt(245) + 2 - ((2 + sqrt(245))*5 + sqrt(245) + sqrt(245) + (-4 + -1 + sqrt(245) - sqrt(245))))*-3)**2.
-2016*sqrt(5) + 79444
Simplify ((4*-2*sqrt(847) + 0)**2 + 5)*3 + -3 + 5.
162641
Simplify (-6*sqrt(162)*-5)/(sqrt(27)/sqrt(3)*-4 - ((1*sqrt(81) - sqrt(81)) + sqrt(81))/sqrt(9)) + 0 + -4.
-18*sqrt(2) - 4
Simplify sqrt(2) + sqrt(72) + 4 + 2 + -4 + ((sqrt(10)*-3)/sqrt(5) + (0 + sqrt(2))*6)**2.
7*sqrt(2) + 20
Simplify -3*((-4*-1*sqrt(126))/sqrt(7))/(3*sqrt(24)*-2).
sqrt(3)
Simplify -2*(((sqrt(1000) - (sqrt(1000) - (sqrt(1000)*-2 + sqrt(1000)))) + sqrt(1000) + sqrt(40))/(sqrt(6)/sqrt(3)*-4))/(-1*sqrt(8)/(2*sqrt(32))).
-4*sqrt(5)
Simplify (5*(6*(-5*-1*sqrt(208)*2 + 5) + 1))**2.
372000*sqrt(13) + 18744025
Simplify 0 + 4*(sqrt(216)*2*-3)/(sqrt(432)*1).
-12*sqrt(2)
Simplify ((sqrt(225) - 1*((1*sqrt(225) - sqrt(225) - sqrt(225)) + sqrt(225) + sqrt(225)))/(-5*(sqrt(9) + 1*sqrt(9))))/((sqrt(220)/(sqrt(4)*2))/(sqrt(176)*-1)).
0
Simplify -5 + -2*(sqrt(243) + 1)*6*4 + 1.
-432*sqrt(3) - 52
Simplify ((-1*sqrt(70)*4)/(-4*sqrt(15)/sqrt(3)))/(-4*(sqrt(112) - -5*(sqrt(112) - (sqrt(112)*-2 + sqrt(112))))).
-sqrt(2)/176
Simplify (-3*(sqrt(847) - (sqrt(847) + -4 + sqrt(847) + 1)) - (4 + -2*(0 + sqrt(847))))**2*-1 + -4.
-21348 + 1430*sqrt(7)
Simplify 4*-3*((sqrt(114) + (sqrt(114) - -5*sqrt(114)*2))/(-1*sqrt(864) - sqrt(864)) + (-5 + sqrt(19) + (-2*sqrt(76) + sqrt(76))/sqrt(4) + sqrt(19))*-1).
-60 + 18*sqrt(19)
Simplify (5 + (sqrt(99) - ((-1 + sqrt(99))**2 + sqrt(99)))*6 + -2 + (-4*(sqrt(99) + 0) - (-4*(1 + sqrt(99) - sqrt(99)))**2))*-4.
-96*sqrt(11) + 2452
Simplify (5*sqrt(88)/(sqrt(4) - (sqrt(4) + sqrt(4) + (sqrt(4) + sqrt(36) + sqrt(4))*-6)))/((sqrt(54)*1 + sqrt(54))/sqrt(3)*1) + -5.
-5 + 5*sqrt(11)/174
Simplify -5*(((sqrt(2736))**2 + -1)*-3 - (2 + sqrt(1539) + -3)**2).
-90*sqrt(19) + 48725
Simplify 2*(-3*(sqrt(384)/(sqrt(40)/sqrt(5)*-4))**2 + -2 + -5) + -3.
-35
Simplify (((sqrt(2448) + 0 + 4 + 5)**2 - (1*sqrt(68)/sqrt(4) - (sqrt(17) - (sqrt(153) + 0 - sqrt(153) - sqrt(153))**2 - sqrt(17)))*3) + -1)*-4.
-8276 - 852*sqrt(17)
Simplify (1 + ((sqrt(36) + (sqrt(288)*-2)/sqrt(8) + sqrt(36))/(sqrt(18)/sqrt(8)))/(-1*(sqrt(120)/(sqrt(6) + sqrt(24)))/sqrt(10)))**2.
1
Simplify (((5 + sqrt(1200))*-4 - (-3*sqrt(6912)*1 - sqrt(6912)))*-3)**2.
-40320*sqrt(3) + 342288
Simplify 4*(-2*sqrt(768)*-4 + ((sqrt(768) + 2)**2 - sqrt(768)) + -1) + -3.
704*sqrt(3) + 3081
Simplify (((1*sqrt(204) + sqrt(204))*-2 - sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*u, -2*r + 3*u = -44 - 325. Suppose 0*y = 4*g - 3*y - 417, 2*g - r = -4*y. What is the hundreds digit of g?
1
Let u be (4/(-7) + -2)*(-476)/6. Suppose -5*q + 340 = 5*d, 3*d - u = -q + 5*q. What is the units digit of d?
8
Suppose 5*b - 2145 = 2760. What is the units digit of b?
1
Suppose 10*f - 6*f - 548 = 0. Let b = 199 - f. What is the tens digit of b?
6
Let d = 1754 - 251. What is the thousands digit of d?
1
Let c(m) = -2*m**2 + 7*m - 12. Let x(r) = r**2 - 3*r + 6. Let h(f) = 3*c(f) + 5*x(f). Let z be h(4). What is the units digit of 98/4 + z/4?
5
Suppose 4*x + y - 6585 = -4*y, -4*x + 5*y = -6615. What is the units digit of x?
0
Let k = 143 - 143. Let d(r) = r**3 - r**2 + 166. What is the units digit of d(k)?
6
Let t(s) = -s + 6. Let g be t(8). Let o be (-389)/(-3) + g/(-6). Suppose 0*z + 4*z = 2*f + o, 2*z - 2*f = 66. What is the units digit of z?
2
Suppose -3*f - 3822 = -3*r, 5*r - 5*f = -6*f + 6352. What is the units digit of r?
1
Let b be 3 - 2*(2 + 3/(-2)). Suppose 356 = 2*x - p, -2*x + 5*x - b*p = 534. What is the tens digit of x?
7
Suppose -3*h - 2*d + 21 = -3*d, 13 = 2*h - d. Let z = h + -6. Suppose 5*o + z*a = 95, -2*o - 5*a + 76 = 2*o. What is the tens digit of o?
1
Let k(l) = -101*l**3 - 14*l**2 + l - 1. What is the tens digit of k(-2)?
4
Let u(a) = 0*a**3 + 8*a**2 + 0 - 11 - 5*a + 2 - a**3. Let i be u(7). Let n(z) = -z**3 + 5*z**2 + 7*z - 5. What is the units digit of n(i)?
0
Suppose 0 = 3*v, 0 = -3*m + 8*m - 5*v. Suppose 2*k = -3*d + 15, -4*k + 2*d - 7*d = -27. Suppose 2*t + 2 = 0, k*t + 43 = 2*w - m*t. What is the tens digit of w?
2
Suppose 0 = c - 2*k - 2 - 0, -4*c + 5*k + 11 = 0. Suppose v + 5*w = c*w + 6, 3*w = 6. Let z = -3 + v. What is the units digit of z?
1
Suppose 3*r + 3*n + 114 = 0, 3*n - 66 = 2*r - 0*n. Let d be 426/(-27) + 8/r. Let i = d + 25. What is the units digit of i?
9
Let b(d) = -d**3 - 24*d**2 + 12*d - 48. What is the hundreds digit of b(-25)?
2
Let q = 17 + -22. Let o = q - -65. What is the tens digit of o/2 - (-10 + 13)?
2
What is the units digit of 993 - ((-2)/6 + (-120)/(-36))?
0
Let o(v) be the first derivative of -v**4/4 + 7*v**3/3 - v**2/2 - 7*v + 21. Suppose -5*w = -3*k - 6 - 16, -2*k = w - 7. What is the tens digit of o(w)?
3
Suppose 0*f = 5*c - f - 35, 3*c - f - 21 = 0. Suppose 3*b = -c*b + 170. What is the tens digit of b?
1
Let f = 3566 - 2394. What is the thousands digit of f?
1
Suppose -12*h = -9*h - 591. Suppose -2 = -l, 3*n + l - h = -0*l. What is the units digit of n?
5
Let j(i) = 90*i + 380. What is the thousands digit of j(24)?
2
Let y = -21 + 11. Suppose 0 = q - 4*c - 32, 40*c - 39*c = -4*q + 43. Let w = q - y. What is the tens digit of w?
2
Let y(v) = 43*v + 12. What is the units digit of y(7)?
3
Suppose -x - 2*q + 24 = 3*x, -x = 3*q - 1. Let v be 26/x - (-8)/28. Suppose -19 + 7 = -v*n. What is the units digit of n?
3
Let b be (-1 - (2 + -6)) + 89. Suppose 5*w - 121 = w - d, -3*w - 2*d + b = 0. What is the units digit of w?
0
Let v be 0/(-2 - -3) - -6. What is the units digit of 2/4*v + 1?
4
Let i be ((-200)/15 - -3)*12. Let m = i - -79. Let s = 19 - m. What is the tens digit of s?
6
Suppose 4*o = -2*z + 18, -z - 3*o = 2*o - 18. Suppose -z*u + 4 = 16, 2*s - u = -54. Let y = -23 - s. What is the units digit of y?
6
Let v(i) = -i**2 + 12*i - 7. Let u be v(11). Suppose 168 = u*y - y. Suppose 0 = 3*g - y - 46. What is the units digit of g?
4
Let j(d) = 3*d**2 - 16*d + 59. What is the tens digit of j(5)?
5
Let p = 9674 + -6195. What is the hundreds digit of p?
4
Let l = 12 + -10. Let m be 3*4/((-12)/(-3)). Suppose -4*z + 105 = 4*f - f, -l*f = m*z - 71. What is the tens digit of f?
3
Let b(q) = 39*q - 6. Suppose 4*n = 15 - 11. What is the units digit of b(n)?
3
Suppose -3*c = -3*b - 8*c - 6, 0 = 3*b - 5*c + 6. Let h be b/7 + 220/35. Suppose -h = -5*k - 4*v, k + 1 = -3*v - 0. What is the units digit of k?
2
Suppose -14*r + 3359 = -2115. Let a = r - 258. What is the units digit of a?
3
Suppose 6*q - 3*q = 12. Suppose -5*z + 25 = a, q*z + 6*a = 3*a + 20. Suppose -2*f - z*n + 24 = 0, 3*f - n - 36 = -0*n. What is the tens digit of f?
1
Suppose -37 + 9 = -q. What is the units digit of q?
8
Let z(g) = g**3 + 6*g**2 + 5*g - 4. Let b be z(-5). Let v(l) = l**2 + 2*l + 2. What is the units digit of v(b)?
0
Let f(b) = 6*b**3 + 3*b**2 - 1. Let v be f(-2). Let q = v - -60. Suppose -4*p = 5*t - q, 2*p + 2*t - 5*t + 5 = 0. What is the units digit of p?
2
Let x = 2181 + -1112. What is the units digit of x?
9
Let y be 54/(
|
{
"pile_set_name": "DM Mathematics"
}
|
-1173?
-1897
What is next in -7820, -7698, -7496, -7214?
-6852
What is the next term in 9778, 9213, 8648?
8083
What is the next term in 436, 438, 452, 484, 540, 626?
748
What is the next term in 485, 982, 1479, 1976?
2473
What is the next term in -5818, -11661, -17504, -23347?
-29190
What is next in -61156, -122312, -183468, -244624, -305780, -366936?
-428092
What comes next: -7063, -7052, -7035, -7012, -6983?
-6948
What is the next term in -1877, -1809, -1741, -1673, -1605, -1537?
-1469
What is next in -23, -114, -283, -560, -975, -1558, -2339, -3348?
-4615
What comes next: -70, -948, -3318, -7924, -15510, -26820?
-42598
What comes next: 1484, 1092, 700?
308
What comes next: -320314, -320310, -320304, -320296?
-320286
What is next in -121450, -121448, -121446, -121444, -121442, -121440?
-121438
What comes next: -48109, -192432, -432973, -769732, -1202709, -1731904?
-2357317
What comes next: 4888, 4902, 4916, 4930, 4944, 4958?
4972
What comes next: 514, 480, 442, 400, 354?
304
What is the next term in -503906, -1007814, -1511722, -2015630, -2519538, -3023446?
-3527354
What comes next: -503, -2175, -4961, -8861, -13875, -20003, -27245?
-35601
What is next in -168, -359, -604, -933, -1376?
-1963
What is the next term in 41, 259, 819, 1883, 3613, 6171, 9719?
14419
What is the next term in -260, -2119, -7180, -17045, -33316, -57595, -91484?
-136585
What is next in -9204, -8887, -8570, -8253, -7936?
-7619
What comes next: 1048, 1061, 1090, 1141, 1220?
1333
What is the next term in -523, -467, -405, -337, -263?
-183
What is the next term in 9337, 18731, 28127, 37525, 46925, 56327, 65731?
75137
What comes next: -71198, -142365, -213532?
-284699
What comes next: 178, 355, 532?
709
What is next in 75692, 75688, 75682, 75674?
75664
What comes next: 1381, 2753, 4107, 5437, 6737, 8001, 9223, 10397?
11517
What is next in 23078, 46134, 69176, 92198, 115194, 138158, 161084?
183966
What is next in 27141, 54306, 81471, 108636, 135801?
162966
What is the next term in -715, -1384, -2041, -2680, -3295, -3880?
-4429
What is the next term in 186, 645, 1414, 2499, 3906, 5641, 7710?
10119
What comes next: 10829, 21656, 32483?
43310
What is the next term in -469, -1970, -4471, -7972, -12473?
-17974
What comes next: 2162, 2192, 2244, 2318, 2414?
2532
What comes next: 5027, 5314, 5791, 6458, 7315?
8362
What is next in -218, -879, -2004, -3599, -5670, -8223?
-11264
What comes next: -4460, -8925, -13378, -17813, -22224?
-26605
What is next in -509, -518, -527, -536, -545, -554?
-563
What is the next term in -114, -503, -1154, -2067, -3242, -4679, -6378?
-8339
What is next in 851, 863, 881, 905, 935?
971
What is the next term in -12753, -25510, -38267?
-51024
What is the next term in -668444, -1336890, -2005336, -2673782, -3342228?
-4010674
What is next in 242, 327, 422, 533, 666, 827, 1022?
1257
What comes next: -518, -1418, -2688, -4328, -6338?
-8718
What is the next term in 1241, 2492, 3753, 5030, 6329?
7656
What is next in -500, -519, -566, -653, -792?
-995
What is the next term in 416275, 416273, 416271, 416269?
416267
What is next in -1048, -1063, -1078?
-1093
What is the next term in 522664, 1045329, 1567994?
2090659
What is the next term in -12581959, -12581958, -12581957, -12581956, -12581955?
-12581954
What comes next: -2004, -4746, -7488, -10230?
-12972
What comes next: -23548, -23541, -23524, -23491, -23436, -23353, -23236, -23079?
-22876
What is next in 11322, 11318, 11312, 11304, 11294, 11282, 11268?
11252
What comes next: -8220614, -8220617, -8220622, -8220629?
-8220638
What is the next term in 206954, 413909, 620864?
827819
What comes next: -1063, -4222, -9473, -16816, -26251, -37778?
-51397
What comes next: -5217, -5228, -5239, -5250?
-5261
What is the next term in 3, 4, -41, -150, -341, -632?
-1041
What is the next term in -1894, -7680, -17360, -30940, -48426, -69824, -95140, -124380?
-157550
What comes next: -315, -273, -229, -183?
-135
What comes next: -34872, -34871, -34870, -34869, -34868?
-34867
What comes next: 12076, 12045, 11964, 11809, 11556, 11181, 10660, 9969?
9084
What is next in 5115, 5093, 5063, 5025, 4979?
4925
What is the next term in 590, 1159, 1700, 2195, 2626?
2975
What comes next: -171, -1485, -5101, -12183, -23895, -41401, -65865?
-98451
What comes next: -2417, -2426, -2435, -2444?
-2453
What comes next: -11966, -11924, -11880, -11834?
-11786
What is next in -56, -176, -330, -536, -812, -1176?
-1646
What comes next: -103, -11, 137, 341, 601?
917
What comes next: -88, -355, -790, -1387, -2140, -3043, -4090, -5275?
-6592
What comes next: -15493, -15496, -15499, -15502, -15505
|
{
"pile_set_name": "DM Mathematics"
}
|
b) 5 (c) v
a
Let s = 4 + -4.4. Let x = s + -2.6. Let d = -6 - x. Which is the second smallest value? (a) d (b) -1/4 (c) -0.3
c
Let c be ((-1)/4)/(119/190). Let s = -1/34 + c. Let l = 98 + -97. What is the second biggest value in s, l, -5?
s
Suppose -4*q - 5*h = -20, 0*h = -3*q + 2*h + 15. Let t = 7 - q. What is the second biggest value in 1, t, -2?
1
Let u = -3.4 - -0.4. Let k be 1*(-2)/4 + 0. Which is the third smallest value? (a) u (b) -2 (c) k
c
Let l = -0.5 - 0.5. Let t = -0.1 + 0.6. Let k = -0.1 + t. What is the second biggest value in l, k, 0.2?
0.2
Let w = 0.5 + -1. Which is the fourth smallest value? (a) w (b) -2 (c) -3 (d) 0.5
d
Let t be (2 - 5)/((-6)/4). Let z = -7 + -1. Let w = -10 - z. Which is the second biggest value? (a) w (b) t (c) -0.4
c
Let w = 8 - 5. Suppose -4*p + 4*u = -8, -w = 4*u + 1. Which is the second biggest value? (a) p (b) -2/9 (c) -2
b
Let o = 3.43 + -0.03. Let u = -0.8 + -2.2. Let y = u + o. Which is the second biggest value? (a) -0.5 (b) y (c) 1
b
Let u = -0.08 + 0.68. Let z = -1 + u. What is the second smallest value in -4, -0.1, z?
z
Let w be (1/(-9))/(1/8). Let s = w + 41/36. What is the biggest value in s, -0.2, -3?
s
Let m = -15 + 21. Let x = 0.55 - -9.45. Let d = m - x. What is the second biggest value in -5, d, 0.1?
d
Let w = 5 - 3. Let g be -3*(-4)/12 + -1. Which is the third smallest value? (a) w (b) -2 (c) g
a
Let m = 3 + 0. Let n be (6/2)/(m/(-4)). Which is the biggest value? (a) 2 (b) -2/3 (c) n
a
Let o = 0.18 - -0.12. Let n = o - 0.6. Which is the second biggest value? (a) -2/7 (b) n (c) 4/9
a
Let a(c) = 2*c + 7. Let z be a(-3). Let t = -1 - 1. What is the second smallest value in z, 2, t?
z
Let m = 1.1 + -1. Let s = 88/225 + -115393/114975. Let o = -3/73 - s. What is the third smallest value in 2/7, m, o?
o
Let s be ((-8)/(-10))/((-2)/15). Let z(v) = -v**2 - 6*v - 3. Let k be z(s). Let c be (5*(-1 + 0))/(-3). What is the third smallest value in k, c, -0.4?
c
Let j = 6 + -9. Let b = j + 6. Let k = -24 + 20. What is the second smallest value in 1, b, k?
1
Let v be (5 - 2)/((-6)/4). Let u = 24997/3905 - 1/781. Let f = 101/15 - u. Which is the biggest value? (a) v (b) -4 (c) f
c
Let i = 0.2 + -0.5. Let f be (-8 + 2)*(-1)/2. Which is the smallest value? (a) -5 (b) f (c) i
a
Let h = 1.88 + 0.12. Which is the second biggest value? (a) 4 (b) 1 (c) 1/2 (d) h
d
Let u(v) = -v**2 - 23*v - 17. Let t be u(-22). Which is the second biggest value? (a) t (b) -19 (c) 0.3
c
Let t be ((-40)/12)/(((-8)/(-6))/2). Which is the fourth smallest value? (a) -0.2 (b) 0.3 (c) t (d) -3
b
Let m = 5 + 0. Let f = -1.9 + 2.2. Which is the smallest value? (a) m (b) -3 (c) f
b
Let r = -7 - 9. Let j = r + 11. Which is the third smallest value? (a) 5 (b) j (c) 5/4
a
Let r = 1 - -3. Let s = 179/6 - 30. Which is the second smallest value? (a) r (b) -8 (c) s
c
Let v = -42 + 39. Which is the third biggest value? (a) v (b) -0.3 (c) 1 (d) 0
b
Let q = -11 + 11.4. Which is the second biggest value? (a) q (b) -2/13 (c) 0
c
Let n = 6.7 - 6. Let l = n + 4.3. Let o = 91/3 - 31. What is the smallest value in l, 0.4, o?
o
Let q = -47/30 - -9/10. Let a = 0.4 + -0.3. Let l = 0.3 - a. What is the biggest value in -2, l, q?
l
Let f = -0.2 - -0.5. Let x = 13 + -13.2. Let l = f + x. Which is the second biggest value? (a) l (b) 0 (c) -2
b
Let u be 0 + 3 + -1 - 2. Suppose u*i = 4*i. Which is the second biggest value? (a) i (b) -3 (c) 2/3
a
Let x = 4 + -6. Let d be (-4)/10*x/(-6). Let q = -686.8 + 687. Which is the third biggest value? (a) d (b) q (c) 1
a
Let i be 2 + ((-3)/(-1))/(-6). Suppose -3*s + 16 = 4*p, 2*p - p - 4 = 2*s. Let g be (38/(-34) - s) + 1. What is the second biggest value in g, i, -0.4?
g
Let n(u) = -2*u**2 + 15*u - 8. Let h be n(7). What is the second biggest value in -2, h, 4?
h
Let l = -8 + 5. Which is the third biggest value? (a) 0.2 (b) 4 (c) l
c
Let x = -10.2 + 10. Which is the biggest value? (a) 0.4 (b) x (c) 1/2
c
Let h be 3*(-3)/(-9) + -6. Which is the second smallest value? (a) -3 (b) 5 (c) h (d) -9
c
Let z = 2.98 + -3. What is the second smallest value in z, 2/11, -2/5?
z
Let t = 0 + -0.1. Let k = -26.88 - -27. Let o = 0.22 - k. What is the third smallest value in -3, t, o?
o
Let s = -3 + 1. Let r = -3 + s. Let d = -8 - r. Which is the third biggest value? (a) -0.3 (b) 4 (c) d
c
Let x = 11 + -10.
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3597*y**2/7 - 4734*y/7 - 2160/7 = 0.
-40, -3, -2, -1
Solve 7*b**4 + 2238*b**3 - 2887*b**2 + 642*b = 0.
-321, 0, 2/7, 1
Factor -6*f**3 + 2114*f**2 - 2800*f - 2808.
-2*(f - 351)*(f - 2)*(3*f + 2)
Find v such that -2*v**2 - 56624*v - 400784672 = 0.
-14156
Solve 1959*u**5/4 + 647*u**4/4 - 1961*u**3/4 - 647*u**2/4 + u/2 = 0.
-1, -1/3, 0, 2/653, 1
What is p in 4*p**4 - 360*p**3 + 3008*p**2 - 7512*p + 4860 = 0?
1, 3, 5, 81
Find g such that 5*g**2 + 7275*g + 7270 = 0.
-1454, -1
Let 4*z**3 + 1289*z**2 + 21062*z + 5185 = 0. Calculate z.
-305, -17, -1/4
Solve p**4/9 - 122*p**3/9 + 1240*p**2/9 - 706*p/3 + 111 = 0.
1, 9, 111
Find s such that -33*s**3/2 - 1319*s**2 - 2447*s/2 + 79 = 0.
-79, -1, 2/33
Suppose -2751*d**2/4 - 8313*d/4 - 45 = 0. Calculate d.
-3, -20/917
What is m in m**3/3 + 6710*m**2/3 + 13417*m/3 + 2236 = 0?
-6708, -1
Solve 3*z**3/8 - 29667*z**2/8 + 73743105*z/8 - 1969495641/8 = 0 for z.
27, 4931
Find b such that -b**2/3 - 280*b/3 - 5888 = 0.
-184, -96
Find i, given that -3*i**5/7 - 2475*i**4/7 - 511680*i**3/7 - 489420*i**2/7 + 4103520*i/7 + 6110784/7 = 0.
-412, -2, 3
Determine a, given that 2271380*a**4 + 1830584*a**3 + 1871124*a**2/5 + 10864*a/5 + 16/5 = 0.
-2/5, -1/337
Suppose 4*m**4/7 - 776*m**3/7 + 48336*m**2/7 - 138528*m + 1752192/7 = 0. What is m?
2, 36, 78
Factor -2*n**3 - 1014*n**2 - 154512*n - 7400800.
-2*(n + 116)**2*(n + 275)
Factor -5*j**4 + 33400*j**3 - 55644240*j**2 - 446758400*j - 894586880.
-5*(j - 3344)**2*(j + 4)**2
Solve -j**2/8 + 65*j/8 + 1422 = 0.
-79, 144
Determine r, given that -5*r**4 - 39235*r**3 + 157000*r**2 - 157020*r = 0.
-7851, 0, 2
Let 14*n**3/13 - 25260*n**2/13 - 1802102*n/13 + 516948/13 = 0. Calculate n.
-69, 2/7, 1873
Determine d so that -2*d**3 + 608*d**2 - 20138*d - 20748 = 0.
-1, 39, 266
Solve 2*d**2 - 922052*d - 922054 = 0.
-1, 461027
What is r in 2*r**3/7 - 684*r**2/7 + 61752*r/7 - 551120/7 = 0?
10, 166
Factor 2*d**4 - 108*d**3 + 1342*d**2 - 3108*d.
2*d*(d - 37)*(d - 14)*(d - 3)
Factor -106*u**3/13 + 192*u**2/13 - 66*u/13 - 20/13.
-2*(u - 1)**2*(53*u + 10)/13
Determine k, given that -2*k**4/13 - 24*k**3/13 - 14*k**2/13 + 240*k/13 - 200/13 = 0.
-10, -5, 1, 2
Find j, given that 16*j**4 + 130520*j**3 + 266179225*j**2 = 0.
-16315/4, 0
Factor -3*h**3 + 105*h**2 - 564*h - 672.
-3*(h - 28)*(h - 8)*(h + 1)
Find l, given that -3*l**3/4 - 405*l**2/4 - 12141*l/4 + 105861/4 = 0.
-71, 7
Find y, given that 2*y**3/5 - 160266*y**2/5 + 3210248142*y/5 + 3211049522 = 0.
-5, 40069
Determine z, given that -z**2 - 24427*z + 97724 = 0.
-24431, 4
Factor 4*x**2 + 1449536*x + 131322163456.
4*(x + 181192)**2
Find q, given that q**4/4 + 122501*q**3/4 + 5002246665*q**2/4 + 68092248692871*q/4 + 68082244689537/2 = 0.
-40833, -2
Let -c**4/2 + 194*c**3 - 18818*c**2 = 0. Calculate c.
0, 194
Determine a so that -2*a**5/9 - 92*a**4/9 - 686*a**3/9 + 980*a**2/3 = 0.
-35, -14, 0, 3
What is i in -2*i**3/7 + 866*i**2/7 - 8348*i/7 - 6768 = 0?
-4, 14, 423
Solve 3*u**4/7 + 1662*u**3/7 + 3273*u**2/7 - 21498*u/7 + 16560/7 = 0 for u.
-552, -5, 1, 2
Solve -24*x**5 - 684*x**4 - 8475*x**3/2 + 15105*x**2/2 - 5877*x/2 + 663/2 = 0 for x.
-17, -13, 1/4, 1
Factor -3*i**2 + 2211*i - 65658.
-3*(i - 706)*(i - 31)
Let 8*y**4 + 1332*y**3 + 632*y**2 - 5328*y - 2656 = 0. Calculate y.
-166, -2, -1/2, 2
Solve 2*q**2/11 - 5618*q/11 + 28040/11 = 0.
5, 2804
Find z such that 157922*z**4/3 + 4498529*z**3/3 - 3232434*z**2 + 137356*z/3 - 488/3 = 0.
-61/2, 2/281, 2
Factor -98625*h**2 - 394506*h - 24.
-3*(h + 4)*(32875*h + 2)
Find y such that 8*y**3/7 - 67510*y**2/7 + 50626*y/7 + 16876/7 = 0.
-1/4, 1, 8438
Factor 3*q**2 + 5544*q - 267195.
3*(q - 47)*(q + 1895)
Factor j**4/3 + 14*j**3 + 39*j**2 - 4*j/3 - 52.
(j - 1)*(j + 2)**2*(j + 39)/3
Factor -4*s**3 - 6072*s**2 - 2375460*s - 53568864.
-4*(s + 24)*(s + 747)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
enominator of ((-13)/(-9) - 1)*(-510)/(-20) and -52/369.
369
Let c = 2286/7 + -326. Let b = 699/2296 - -51/287. Find the common denominator of b and c.
56
Let j(h) = -112*h - 392. What is the smallest common multiple of j(-5) and 48?
336
Let b = 59 + -23. Suppose -4*i = -9*i + 3*v - b, 2*i + 10 = -v. Let a(w) = -w**3 - 7*w**2 - 9*w. What is the smallest common multiple of 10 and a(i)?
90
Suppose -138 = -3*b + w, b + 15 - 61 = 5*w. What is the least common multiple of b and 253?
506
What is the common denominator of -74/33 and (-644)/(-48)*(-1)/(-539)?
924
Suppose 0 = -x + 2 - 6. Let y be -2 + 4/x - -9. Find the common denominator of -25/11 and 7/y*(-381)/21.
66
Let o = 1/29 + -156/319. Let s = 2983/468 + 21/52. Calculate the common denominator of s and o.
99
Let s(m) = -2*m**2 - 15*m + 1. Let j be s(-8). Let b(n) be the first derivative of -n**2/2 - n + 1. Calculate the smallest common multiple of 16 and b(j).
48
Let u be 38/(-6)*(-183)/30. Let i = u - 152/15. Find the common denominator of i and (8/((-336)/(-49)))/((-3)/99).
2
Suppose -2*c + 2*x - 11 + 45 = 0, 0 = -4*c + 5*x + 64. What is the lowest common multiple of (-52)/(-5) + (-10)/25 and c?
210
Suppose -g + 4 = -3*t, -18*t + 1 = -17*t. Calculate the least common multiple of g and 9.
63
Suppose 6*q + 10 = q. Let a(o) = -o**3 - 19*o**2 - 19*o - 6. Calculate the lowest common multiple of 17 - (3 + q + -2) and a(-18).
36
Let z be (-2)/11*7749/(-6). Let l = z + -2632/11. Calculate the common denominator of -2 - (-56)/(-12)*-4 and l.
33
Let m be (39/(-52))/((-2)/232). Let d = 578/9 - 1507/18. Find the common denominator of d and 1 + (-1 - m/(-33)).
22
Let t be (-2 - (-48)/27)*(-9)/1671. Let c = -88567/3342 + t. What is the common denominator of c and 3/8?
8
Let g = 593/8 - 77. Let x = 2399 + -19259/8. Find the common denominator of x and g.
8
Let x = -908512108092878294410/442917 + 2051201710687203. Let k = x + 12/49213. Let r = -978 - k. Find the common denominator of r and -47/8.
72
Let b = 36466 - 21004393/576. Calculate the common denominator of 71/36 and b.
576
Let k = 3887/344 - 29/43. Calculate the common denominator of 1/6*(-27)/(-2) and k.
8
Calculate the common denominator of (-2 + 13)/11 + (-410)/132 and -89/48.
528
Let l = -51120715/1304 - -39203. Let g = l - 43639/19560. Find the common denominator of g and 31/3.
30
Let y = -582 - -591. What is the least common multiple of 18 and y?
18
Let u = 587/6 - 2093/24. What is the common denominator of u and -4*(-1)/(-80)*114?
40
Let i = 5838 - 52468/9. Find the common denominator of i and 125/186.
558
Let a(n) = -n - 1. Let f be a(-8). Suppose 0 = -f*l + 5*l. Suppose l = -r + 2*r - 11. What is the smallest common multiple of r and 6?
66
Let y(u) = -u**2 + 8*u + 3. Let c(n) = 0*n + 9*n + 3 - n**2 + 0*n + 1. Let w(o) = 4*c(o) - 5*y(o). Calculate the lowest common multiple of w(5) and 8.
24
Let m(z) = z**2 - z - 9. Calculate the lowest common multiple of m(-6) and 45.
495
Let y = 1513/3384 - 6/47. What is the common denominator of y and -73/132?
792
Let n = -14 - -15. Calculate the least common multiple of 9 and (n + -2)*(-13 + 4).
9
Let p = 627/31 - 43135/1984. Find the common denominator of p and -15/17.
1088
Let l(q) be the first derivative of -q**4/4 - 4*q**3 + 14*q**2 + q - 39. What is the lowest common multiple of l(-14) and 35?
35
Let s be (-3)/(-4) - -210*(-5)/(-8). What is the common denominator of (-32)/s - 1 - -3 and 7/9?
99
Suppose -4*y + 3 = 67. Calculate the common denominator of 62/y - (1 - -3) and (-4)/(-14) - 1178/252.
72
Let q = -231449622 - -278665367213/1204. Let z = -130/7 + q. Let l = -1667/344 + z. Calculate the common denominator of l and 87/20.
40
Suppose 14*z - 1350 = -9*z - 52*z. Let l(p) = -3*p - 4. What is the lowest common multiple of z and l(-4)?
72
Let v(k) = -3*k - 2*k - 4*k + 5*k - 8 + 2*k**2. Calculate the least common multiple of v(5) and 4.
44
Suppose c = -2*c - 5*l - 125, 3*l = c + 37. What is the common denominator of c/(-10) - 311/63 and 13/6?
126
Let q(f) = -f**2 + 13*f + 39. What is the smallest common multiple of q(9) and 72?
1800
Suppose -304 = -2*b - 288. Let m(h) = 5*h**2 + 3*h. Calculate the least common multiple of m(-2) and b.
56
Let w(z) = -2*z - 1. Let q(o) = 22*o**3 + 3*o**2 - 4*o + 2. What is the smallest common multiple of q(1) and w(-2)?
69
Calculate the common denominator of 125/264 and 126/24*90/(-63).
264
Suppose -4*z - 52 = -j + z, 5*j = -4*z + 173. What is the common denominator of 43/8 and (3/(-9)*j)/(6/9)?
8
Suppose 5*o = 4*o + 18. Suppose o - 42 = -2*n. Calculate the smallest common multiple of 18 and n.
36
Find the common denominator of (1749/(-110))/(-24*3/(-2)) and -77/30.
120
Calculate the common denominator of 1/(-2)*(-2 + (-690)/(-117)) and -5/7.
273
Let u(b) = -b**2 - 11*b + 155. Suppose 4*m + k + k = 4, 0 = -m + 4*k + 10. What is the least common multiple of m and u(-19)?
6
Let h(x) = 601*x**2 + 9*x + 19. Let s be h(-4). Let f = s - 95867/10. What is the common denominator of f and 3/16?
80
Let j = 110 + -102. Suppose -j*o + 141 = -51. What is the smallest common multiple of o and 15?
120
Calculate the common denominator of (-656)/(-64)*(-5)/(-95) and -27/266.
532
Calculate the least common multiple of 528 and ((-310)/50 - -7)*10/4.
528
Let a(r) = r**3 + 25*r**2 - 6*r + 48. Calculate the smallest common multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
639
What is -215710 (base 8) in base 2?
-10001101111001000
114030 (base 5) to base 7
15302
Convert -bc (base 16) to base 15.
-c8
Convert 2ff6 (base 16) to base 9.
17752
What is 1087 (base 11) in base 6?
10334
Convert -10012000 (base 4) to base 7.
-66613
-113300 (base 4) to base 2
-10111110000
What is -1201122 (base 3) in base 12?
-88b
Convert 4212 (base 6) to base 7.
2516
Convert -111010010001 (base 2) to base 16.
-e91
What is 125a0 (base 12) in base 5?
1300112
Convert 360 (base 8) to base 9.
286
3447 (base 11) to base 10
4528
What is -4261 (base 14) in base 8?
-26275
Convert 123405 (base 7) to base 16.
5937
-44324 (base 6) to base 15
-1c67
What is 7400 (base 11) in base 14?
3801
What is -1481 (base 10) in base 7?
-4214
Convert 2404 (base 9) to base 16.
6fa
Convert -1020110 (base 3) to base 7.
-2430
-4336 (base 7) to base 2
-11000001010
-1126 (base 7) to base 13
-259
What is 646 (base 15) in base 2?
10110001000
Convert 255433 (base 6) to base 16.
5aed
What is 123322 (base 6) in base 15?
3478
Convert -26cb (base 14) to base 5.
-204333
Convert -c4c8 (base 13) to base 14.
-9cb2
Convert -12c (base 14) to base 9.
-282
Convert -5fbf (base 16) to base 12.
-12227
14b4 (base 14) to base 3
12001112
-91a5 (base 15) to base 13
-10cca
12760 (base 8) to base 16
15f0
111000111000 (base 2) to base 8
7070
-3011111 (base 4) to base 13
-5996
-22310 (base 7) to base 6
-42042
-11422 (base 5) to base 12
-5ba
-36135 (base 7) to base 10
-9336
Convert -151 (base 13) to base 6.
-1031
11010110011111 (base 2) to base 3
200211102
10705 (base 8) to base 15
1534
Convert 42043 (base 5) to base 4.
223111
Convert 100011000101 (base 2) to base 8.
4305
Convert 12851 (base 9) to base 16.
2209
21a32 (base 11) to base 12
1652a
What is 23c (base 15) in base 2?
111111011
-11658 (base 9) to base 4
-1322111
-3166 (base 7) to base 16
-466
Convert -5503 (base 9) to base 15.
-1303
65f7 (base 16) to base 3
1022210210
Convert 100101001010 (base 2) to base 3.
10021002
What is -24ce (base 15) in base 12?
-4658
What is -2003444 (base 5) in base 7?
-161364
Convert -6102 (base 16) to base 5.
-1243314
-1053 (base 9) to base 3
-1001210
eba (base 15) to base 3
11120011
10112002000 (base 3) to base 7
406032
41454 (base 6) to base 12
328a
What is 266 (base 14) in base 3?
122212
What is -454 (base 11) in base 4?
-20133
51221 (base 7) to base 13
5897
-363 (base 11) to base 2
-110110000
Convert -14273 (base 13) to base 4.
-21032111
What is -3106 (base 7) in base 3?
-1111011
What is -9064 (base 11) in base 15?
-3884
Convert -100100010 (base 2) to base 13.
-194
What is c760 (base 13) in base 11?
19834
47b (base 16) to base 4
101323
-1c9 (base 15) to base 8
-636
What is 2011012201 (base 3) in base 15?
c891
What is 441 (base 9) in base 5?
2421
What is -2c92 (base 14) in base 3?
-101221010
180 (base 15) to base 3
110210
Convert -2963 (base 11) to base 2.
-111011101100
What is 6365 (base 7) in base 9?
3072
33465 (base 7) to base 4
2010123
Convert 381 (base 15) to base 16.
31c
568 (base 10) to base 6
2344
What is 3032130 (base 4) in base 13?
6024
Convert 2cc (base 14) to base 5.
4242
Convert 22245 (base 6) to base 12.
1985
What is 14222 (base 5) in base 2?
10010100011
152b (base 12) to base 11
1958
What is -3a72 (base 13) in base 16?
-20b6
Convert -596 (base 11) to base 8.
-1306
-1112133 (base 5) to base 9
-28873
6490 (base 10) to base 13
2c53
What is -1322 (base 12) in base 3?
-2222222
What is 10101110000 (base 2) in base 7?
4026
Convert -4003 (base 16) to base 10.
-16387
What is -423011 (base 5) in base 6?
-145231
Convert -c817 (base 16) to base 6.
-1033051
What is -191 (base 16) in base 11?
-335
What is -6113 (base 8) in base 12?
-19a3
Convert 20021210 (base 3) to base 12.
27a0
Convert -201001 (base 3) to base 5.
-4024
What is 188a (base 12) in base 8?
5652
169 (base 13) to base 16
100
214111 (base 6) to base 14
6683
Convert -6302 (base 8) to base 6.
-23042
Convert -5154 (base 9) to base 7.
-14002
Convert -42320 (base 5) to base 3.
-10220000
-261 (base 10) to base 11
-218
Convert 102221011 (base 3) to base 8.
20772
Convert -1030 (base 6) to base 10.
-234
2b0 (base 12) to base 16
1a4
What is 8145 (base 16) in base 6?
413113
Convert -212331 (base 4) to base 14.
-ca1
What is 55553 (base 6) in base 7?
31443
What is -131 (base 5) in base 11?
-38
-63a (base 12) to base 11
-758
What is -10643 (base 9) in base 2?
-1101110101110
Convert -5092 (base 11) to base 16.
-1a64
What is -10111101101001 (base 2) in base 3?
-121122112
Convert -101c (base 14) to base 9.
-3717
-7aaa (base 11) to base 14
-3c47
What is 101110101001 (base 2) in base 9?
4076
-30822 (base 12) to base 6
-1205242
Convert 503151 (base 6) to base 7.
223303
Convert -8078 (base 14) to base 9.
-33228
Convert 22323233 (base 4) to base 7.
244364
What is 11342 (base 5) in base 14?
447
Convert 10101010010 (base 2) to base 15.
60c
6382 (base 15) to base 14
7955
What is -1101222 (base 3) in base 12?
-715
What is -b84 (base 14) in base 2?
-100011100000
What is 2112211 (base 3) in base 14?
|
{
"pile_set_name": "DM Mathematics"
}
|
-12755, -12236, -11371, -10160, -8603?
173*j**2 - 12928
What is the b'th term of 132495, 265001, 397499, 529989, 662471, 794945, 927411?
-4*b**2 + 132518*b - 19
What is the y'th term of -253416, -253469, -253550, -253653, -253772, -253901, -254034, -254165?
y**3 - 20*y**2 - 253397
What is the t'th term of -21112274, -21112277, -21112280?
-3*t - 21112271
What is the s'th term of 19007, 19505, 19991, 20465, 20927, 21377, 21815?
-6*s**2 + 516*s + 18497
What is the c'th term of -50642650, -50642649, -50642648?
c - 50642651
What is the w'th term of -444044, -1775507, -3994610, -7101353?
-443820*w**2 - 3*w - 221
What is the u'th term of -5717689, -11435377, -17153065, -22870753?
-5717688*u - 1
What is the t'th term of -137966576, -275933149, -413899722, -551866295, -689832868?
-137966573*t - 3
What is the n'th term of -307908, -615824, -923738, -1231650, -1539560, -1847468, -2155374?
n**2 - 307919*n + 10
What is the c'th term of 82630, 661067, 2231096, 5288509, 10329098, 17848655, 28342972?
82632*c**3 + 4*c**2 + c - 7
What is the y'th term of -870, -1008, -1238, -1560?
-46*y**2 - 824
What is the q'th term of 44464, 178410, 401654, 714196, 1116036, 1607174, 2187610?
44649*q**2 - q - 184
What is the g'th term of 22367156, 44734325, 67101494?
22367169*g - 13
What is the u'th term of -111098348, -222196698, -333295048, -444393398?
-111098350*u + 2
What is the p'th term of -838, -3154, -6774, -11506, -17158?
32*p**3 - 844*p**2 - 8*p - 18
What is the i'th term of 355948, 356376, 357096, 358114, 359436, 361068, 363016?
i**3 + 140*i**2 + i + 355806
What is the r'th term of 3318, 6398, 11532, 18720, 27962?
1027*r**2 - r + 2292
What is the z'th term of 54379, 108787, 163219, 217675, 272155, 326659?
12*z**2 + 54372*z - 5
What is the h'th term of 8379072, 8379066, 8379058, 8379048, 8379036, 8379022?
-h**2 - 3*h + 8379076
What is the s'th term of -3766268, -3766280, -3766300, -3766328, -3766364?
-4*s**2 - 3766264
What is the l'th term of 209101, 209109, 209117, 209125?
8*l + 209093
What is the t'th term of -5773353, -5773351, -5773349, -5773347?
2*t - 5773355
What is the o'th term of -1748111, -3496239, -5244367, -6992495?
-1748128*o + 17
What is the a'th term of 12895, 25842, 38837, 51880?
24*a**2 + 12875*a - 4
What is the k'th term of -5758, -23776, -54046, -96568, -151342?
-6126*k**2 + 360*k + 8
What is the v'th term of -346848364, -346848365, -346848366, -346848367, -346848368, -346848369?
-v - 346848363
What is the q'th term of 156087803, 156087805, 156087807?
2*q + 156087801
What is the l'th term of 232, 56, -246, -686, -1276?
-2*l**3 - 51*l**2 - 9*l + 294
What is the x'th term of -28858, -29658, -30458, -31258, -32058?
-800*x - 28058
What is the q'th term of -9863, -21519, -33175, -44831, -56487?
-11656*q + 1793
What is the c'th term of -30600, -30560, -30522, -30486, -30452, -30420, -30390?
-c**2 + 43*c - 30642
What is the w'th term of -922238, -923423, -924594, -925745, -926870?
w**3 + w**2 - 1195*w - 921045
What is the u'th term of -57221071, -114442144, -171663217, -228884290, -286105363?
-57221073*u + 2
What is the j'th term of 230659, 922484, 2075533, 3689812, 5765327, 8302084, 11300089, 14759348?
j**3 + 230606*j**2 + 52
What is the c'th term of 678, 2426, 5334, 9402, 14630, 21018?
580*c**2 + 8*c + 90
What is the q'th term of 8254886, 8254886, 8254884, 8254880, 8254874, 8254866?
-q**2 + 3*q + 8254884
What is the j'th term of 21210343, 42420683, 63631025, 84841369, 106051715, 127262063?
j**2 + 21210337*j + 5
What is the u'th term of -843, -3898, -9013, -16188, -25423, -36718?
-1030*u**2 + 35*u + 152
What is the g'th term of 137285209, 137285207, 137285205, 137285203?
-2*g + 137285211
What is the u'th term of 2534946, 5069880, 7604812, 10139742, 12674670, 15209596, 17744520?
-u**2 + 2534937*u + 10
What is the t'th term of -2914342, -2914357, -2914388, -2914441, -2914522, -2914637?
-t**3 - 2*t**2 - 2*t - 2914337
What is the n'th term of -391, 3298, 6987?
3689*n - 4080
What is the b'th term of 128679271, 257358542, 386037813, 514717084, 643396355?
128679271*b
What is the i'th term of 1155913, 2310943, 3465973, 4621003?
1155030*i + 883
What is the x'th term of 169284, 676385, 1521548, 2704773, 4226060?
169031*x**2 + 8*x + 245
What is the p'th term of -521493, -521684, -522003, -522450?
-64*p**2 + p - 521430
What is the o'th term of -3503, -3978, -4453, -4928?
-475*o - 30
|
{
"pile_set_name": "DM Mathematics"
}
|
f*g - 4*g**2 wrt g.
4*f**2 - 8
Find the third derivative of 2*i*s**3*w - 11*i*s**2*w**3 - 3*i*w**3 - 3*s**3*w**3 + 2*s**3*w**2 - 64*s*w**2 wrt w.
-66*i*s**2 - 18*i - 18*s**3
What is the derivative of 306*s**2 - 90?
612*s
What is the second derivative of -1043*t**2 + 307*t?
-2086
Find the third derivative of -962*j**4 + 41*j**2 + 13.
-23088*j
Find the third derivative of -i**5*v + 2456*i**4*v + i**2*v + 6841*i**2 wrt i.
-60*i**2*v + 58944*i*v
What is the third derivative of 287*o**5 + 4*o**2 - 112 wrt o?
17220*o**2
Differentiate -9*q**2*x**3 - 122*q**2 + 8*q*x**4 wrt x.
-27*q**2*x**2 + 32*q*x**3
What is the third derivative of -4248*d**2*h**3*n**3 - 3*d**2*h**2*n**3 - d**2*n**2 - 23*d**2 - d*h**2 wrt h?
-25488*d**2*n**3
What is the third derivative of -2*d**6*w + 7*d**3*w**2 + 75*d**2*w**2 - 2*d**2*w - 2*d**2 wrt d?
-240*d**3*w + 42*w**2
What is the second derivative of -5912*u**2 + 3108*u?
-11824
What is the third derivative of -3*j**5 - 64*j**3 + 175*j**2?
-180*j**2 - 384
Find the third derivative of -124*m**3*v**4 - 7*m**3*v**2 - 7*m*v**6 + 4*v wrt v.
-2976*m**3*v - 840*m*v**3
What is the third derivative of -4*b**4*i**2 - 79*b**3*i**2 - 14*b**2*i**2 + b*i**2 wrt b?
-96*b*i**2 - 474*i**2
Find the third derivative of 10*l**5*o - 16*l**5 + 5*l**4 - 38*l**2*o + l**2 + 7*l*o - 1 wrt l.
600*l**2*o - 960*l**2 + 120*l
What is the second derivative of 211*s**2 - 82*s?
422
What is the second derivative of -r**3*w**4 + 7*r**3 + 115*r**2*w**4 + 33*r**2*w wrt w?
-12*r**3*w**2 + 1380*r**2*w**2
Find the third derivative of 224*x**5 + x**4 + x**3 - 7252*x**2 wrt x.
13440*x**2 + 24*x + 6
What is the third derivative of -130*h**4*p + 2*h**4 + h**2 + h - 18*p wrt h?
-3120*h*p + 48*h
Find the second derivative of 2533*b**2 - 2577*b wrt b.
5066
What is the third derivative of -2*a*c**4*h + 7*a*c**3 + 2*a*c**2*h - 3*c**4*h + c**3 - 4*c**2*h - c*h wrt c?
-48*a*c*h + 42*a - 72*c*h + 6
What is the second derivative of 215*b**3*g**4 - 127*b**3*g - 39*b**2*g**4 - 3*b**2*g - 3*b wrt g?
2580*b**3*g**2 - 468*b**2*g**2
Find the third derivative of -228*b**3*m**3 - b**3*m**2*r**3 - 5*b**3*r**3 + 7*b**2*m**2 + 2*b*m**3*r**3 wrt m.
-1368*b**3 + 12*b*r**3
Differentiate 380*b**4 + 242 wrt b.
1520*b**3
Find the second derivative of -27*c**4 + 74*c**2 - 100*c + 5.
-324*c**2 + 148
Find the second derivative of 5394*y**2 - 1119*y - 2.
10788
Differentiate 87*s**2*z - 176*s**2 wrt z.
87*s**2
What is the third derivative of -42*b**3*h**2 - 2*b**3*h*q**2 + b**2*h**2*q**2 - b**2*h*q**2 - 36*q**2 wrt b?
-252*h**2 - 12*h*q**2
What is the second derivative of 7*j**3*l**2 + j**3 + 2*j*l**2 + 86*j wrt j?
42*j*l**2 + 6*j
What is the derivative of -3*t**4 + 10*t**3 + 31*t + 8785 wrt t?
-12*t**3 + 30*t**2 + 31
What is the first derivative of 17*h**2*r**2 + 16996*h**2 - 38*r**4 wrt r?
34*h**2*r - 152*r**3
What is the second derivative of 13799*u**3 - 4*u - 389 wrt u?
82794*u
Differentiate -13*g**2*j**2 - g**2*j + g**2 + 368*j**2 with respect to g.
-26*g*j**2 - 2*g*j + 2*g
Differentiate -12525*n*u**3 + 2*n*u - 12440*u**3 wrt n.
-12525*u**3 + 2*u
What is the second derivative of 633*f**3*h**3 + 6*f**3*h**2 + 5*f*h**3 - 3*f*h**2 - 44*h**2 + 2 wrt f?
3798*f*h**3 + 36*f*h**2
What is the third derivative of 5*l**6*y**3 + 13*l**3*y**3 - 2*l**2*y**3 + 2*l**2*y**2 - 225 wrt l?
600*l**3*y**3 + 78*y**3
Differentiate -f**4 + f**2 + 91*f + 2757.
-4*f**3 + 2*f + 91
Find the first derivative of -2*i*j**2*q + 20*i*j*q**2 - 285*i*q**2 + 2*i*q - 2*j**2 + 3*q**2 wrt j.
-4*i*j*q + 20*i*q**2 - 4*j
Find the third derivative of 22*g**2*n**4 + g**2*n - 2*g**2 - 2*g*n**4 + 29*n**2 wrt n.
528*g**2*n - 48*g*n
Find the third derivative of -71*q**3*w**3 - 2*q**3*w**2 + q**2*w**2 - 8*q**2 + 7*q*w**3 wrt q.
-426*w**3 - 12*w**2
Find the first derivative of 14*y**4 - 2*y**3 + 359 wrt y.
56*y**3 - 6*y**2
Find the second derivative of 2853*f**2 - 9*f + 323.
5706
Differentiate 3708*k**2 - 6228 with respect to k.
7416*k
Find the second derivative of -i**3*y**3 + i**3 - 4*i**2*x*y + 2*i*x*y - x*y**2 + x*y + y**3 wrt y.
-6*i
|
{
"pile_set_name": "DM Mathematics"
}
|
*w - 2*o - 13, -3 + y = 2*w + o for w.
3
Let j = 13 - 21. Let a = -5 - j. Solve 0 = -4*m + a*s + 3, -s = 2*m - 3*s - 2 for m.
0
Suppose 0 = 2*m - 16 + 6. Let f = -14 + 8. Let d = -4 - f. Solve -2*j - m*a = -18 + 4, -2*j - d = a for j.
-3
Let v = 1 + 1. Suppose -4*d + 3*g - 12 = -8*d, -4*d + 32 = -v*g. Suppose 5 = q + u, -18 = -4*q - u - 2*u. Solve -2*j + i = -q*j + d, -2*i + 8 = 0 for j.
2
Suppose -3 = -p + 3*p + 3*s, -3*s - 24 = -5*p. Let j = -3 + 7. Suppose -2*d + j*c = 8, -4*d + 2*c = -d - 4. Solve 3*h = -4*u - 7, 0*h + p*u = -2*h - d for h.
-5
Let b be (-2)/(0 + 0 + -1). Suppose 6*g = 4*g. Let y = g + b. Solve -y*a = -3*d + 7, 4*a = -2*d + 2*a - 2 for d.
1
Suppose 0 = -11*v + 2 + 42. Solve k - 2*m = 1 - v, 5*m = 4*k for k.
5
Suppose -4*a = -a - 2*d - 28, d = 4*a - 44. Let p = -10 - -15. Let k be ((-6)/(-4))/((-12)/(-16)). Solve -p*l - 3*j + k = -14, 0 = 3*l + 3*j - a for l.
2
Let c = -19 - -23. Solve -1 = 2*z - f - 9, -4*z + c*f + 24 = 0 for z.
2
Let d be (-1 - (-2 + 1))/2. Suppose d = -2*u + u + 10. Suppose 0 = -5*y + 10 + u. Solve -12 = 2*m + 4*a, y*a - 16 = 3*m + 2*m for m.
-4
Let a be -1 - (0 - (3 - -8)). Suppose 0 = 5*z - a*z. Solve z*c + u - 13 = 4*c, 3*u = c + 6 for c.
-3
Suppose 5*l = 2 + 3, -49 = -3*o + 5*l. Suppose o - 2 = 4*p. Solve 4*z = -p*b - 16, 4*z + 3*b = 5*z for z.
-3
Suppose -9*d + 5*d = -16. Solve -8 = -d*k - 2*v, -v - 2*v - 9 = -k for k.
3
Suppose -9 + 51 = 3*y. Let v = 21 - y. Let u = 11 - v. Solve k - 20 = -u*w, -5*k - 25 = -9*w + 4*w for k.
0
Suppose i = -4*i, 0 = 4*u - 2*i. Suppose 3*v + 280 = 7*v. Suppose h - 6 - 14 = 3*r, r - v = -3*h. Solve -n + h = g + 4*n, -2*n + 8 = u for g.
3
Let r(w) = -w**2 - 8*w + 4. Let f be r(-7). Suppose t = -0*t + f. Let c(l) = 8*l**2 + l. Let s be c(-1). Solve -4*i = -0*g + g - t, g = 5*i - s for g.
3
Suppose 2*q + 8 = -6. Let u be -2 + 1 - (q - -1). Suppose -17 = j - 5*p, 0*j + 2*j - 26 = -5*p. Solve 0 = 2*y + j*f + 11 + 1, 2*f = u*y + 11 for y.
-3
Suppose -1 + 5 = -2*k. Let d be 1/(-1)*(-8 + 1). Let c be 8/(d/((-7)/k)). Solve 3*y - 5 = -0*j + c*j, 14 = -4*y - 5*j for y.
-1
Let w be 0 - -3 - (-4 - -6). Solve 0*m + 3*f = -2*m + w, 3*m = 5*f - 27 for m.
-4
Suppose -5*s - 75 = 305. Let q = s - -109. Solve -4*u - q = 5*r, 0*u + 4*u + 23 = -3*r for r.
-5
Suppose -2*l - 12 = 2*l. Let s be (63/6)/(l/12). Let k be (-4)/20 - s/10. Solve 3*o - 10 = d, -o - k - 1 = -2*d for o.
5
Let b be (-68)/(-16) + 2/(-8). Let j be (-4 - -2) + (b - 0). Solve 2*i = 2*a + 12, -4*a + 12 = j*i + 3*i for i.
4
Let u(g) = -2*g + 10. Let h be u(-15). Solve -4*f = 3*i - f - 27, -5*i - 4*f = -h for i.
4
Let w = 12 + -11. Let o(i) = 4*i**3 - 1. Let h be o(w). Solve 0 = -h*u + 4*r + 1 - 0, r + 24 = -4*u for u.
-5
Let u be (12/15)/((-8)/(-60)). Solve -t + u = 3*j + 5, 3*t + 3*j = -9 for t.
-5
Suppose 15 = 4*o + o. Let h(n) = 7*n + 2*n**2 + 3 + 2*n**2 - 3*n**2. Let r be h(-7). Solve -3*t + 5*x = t - 5, -5*t + r*x + o = 0 for t.
0
Let g(f) = -f**3 - 3*f**2 - 5*f - 6. Let u be g(-3). Solve 0*t - 3*p + 15 = -3*t, u = -5*t - 3*p for t.
-3
Let u = 1 + 4. Let w = -4 + u. Suppose w = 2*b - 5*q, 0 = -4*b + 4*q + 3 + 5. Solve b*j - 21 = 4*a, -2*j = 3*a - j + 6 for a.
-3
Let c be (-65)/(-25) - 4/(-10). Suppose 3*p + 6 = c*z + 2*z, 5*z = 5*p. Solve i = z*k - 3, -i + 1 = k - 0 for k.
1
Let o(q) = q**2 + 3*q - 6. Let u be o(-6). Let f(s) = -s**2 - 2*s. Let w be f(-2). Solve 0 = -5*c - w*c + d + 15, d - u = -4*c for c.
3
Let j(z) = z**2 - 6*z + 5. Let r be j(5). Suppose r*d - 2*d = -6. Solve -8 = -4*c - 5*p, -p - 5 = 4*c + d for c.
-3
Suppose 3*h = -3*t + 15, 0 = -3*h + 3*t - 0 + 3. Solve z - 3*o + 13 = 0, -o + 4 = h*z + 3 for z.
-1
Let j = -13 + 16. Solve 0 = -j*o - 0*h + h - 4, 0 = -3*o - 3*h for o.
-1
Suppose -2*v = -50 - 10. Let w be v*(-5)/((-25)/(-6)). Let n = -26 - w. Solve 15 = 5*q, 4*f - q - n = 7 for f.
5
Suppose 4*g - 20 = -5*b, -
|
{
"pile_set_name": "DM Mathematics"
}
|
the k'th term of 334558, 669141, 1003724, 1338307, 1672890?
334583*k - 25
What is the k'th term of 8465771, 16931544, 25397317, 33863090, 42328863?
8465773*k - 2
What is the l'th term of -2031565, -2031569, -2031575, -2031583?
-l**2 - l - 2031563
What is the f'th term of -50516, -100076, -149636, -199196?
-49560*f - 956
What is the y'th term of 4347, 8931, 13519, 18111?
2*y**2 + 4578*y - 233
What is the n'th term of 6140725, 6140732, 6140739, 6140746?
7*n + 6140718
What is the w'th term of 210774, 211809, 212844, 213879, 214914?
1035*w + 209739
What is the h'th term of -155270, -310526, -465768, -620996?
7*h**2 - 155277*h
What is the a'th term of 10532, 10403, 10042, 9329, 8144, 6367, 3878, 557?
-20*a**3 + 4*a**2 - a + 10549
What is the n'th term of 162287, 649280, 1460935, 2597252, 4058231, 5843872, 7954175?
162331*n**2 - 44
What is the g'th term of 491, 172, -351, -1078?
-102*g**2 - 13*g + 606
What is the n'th term of -91052006, -91052008, -91052010, -91052012, -91052014, -91052016?
-2*n - 91052004
What is the u'th term of 2305, 7513, 15641, 26701, 40705?
2*u**3 + 1448*u**2 + 850*u + 5
What is the o'th term of -118043, -118097, -118149, -118199, -118247, -118293?
o**2 - 57*o - 117987
What is the q'th term of 25361, 101052, 227205, 403820?
25231*q**2 - 2*q + 132
What is the w'th term of 2998, 554, -3520, -9224, -16558?
-815*w**2 + w + 3812
What is the g'th term of -4042, -5679, -7318, -8959, -10602, -12247?
-g**2 - 1634*g - 2407
What is the h'th term of 2940, 2476, 2012?
-464*h + 3404
What is the n'th term of 408, 848, 1350, 1944, 2660, 3528?
5*n**3 + n**2 + 402*n
What is the m'th term of -10184, -9849, -9296, -8531, -7560, -6389, -5024, -3471?
-m**3 + 115*m**2 - 3*m - 10295
What is the l'th term of 18562, 36364, 54164, 71962?
-l**2 + 17805*l + 758
What is the s'th term of -336, -1137, -3498, -8259, -16260, -28341, -45342, -68103?
-140*s**3 + 60*s**2 - s - 255
What is the u'th term of -455347, -910422, -1365497, -1820572, -2275647, -2730722?
-455075*u - 272
What is the j'th term of 61175, 61138, 61033, 60824, 60475, 59950, 59213?
-6*j**3 + 2*j**2 - j + 61180
What is the p'th term of -15223, -30344, -45487, -60664, -75887, -91168, -106519, -121952?
-2*p**3 + p**2 - 15110*p - 112
What is the x'th term of -71974663, -71974667, -71974669, -71974669, -71974667, -71974663?
x**2 - 7*x - 71974657
What is the x'th term of 60981, 121650, 182319, 242988?
60669*x + 312
What is the c'th term of -344909, -688596, -1032283?
-343687*c - 1222
What is the a'th term of -124827, -249666, -374505, -499344, -624183, -749022?
-124839*a + 12
What is the s'th term of 2291, 5729, 11459, 19481?
1146*s**2 + 1145
What is the i'th term of 185, 65, -363, -1105, -2167, -3555?
-i**3 - 148*i**2 + 331*i + 3
What is the d'th term of -384207, -384424, -384785, -385290, -385939?
-72*d**2 - d - 384134
What is the u'th term of -110593, -442383, -995367, -1769545, -2764917, -3981483?
-110597*u**2 + u + 3
What is the t'th term of 2719, 3693, 5331, 7645, 10647?
2*t**3 + 320*t**2 + 2397
What is the l'th term of -5323, -42854, -144741, -343168, -670319, -1158378, -1839529?
-5364*l**3 + 6*l**2 - l + 36
What is the r'th term of 232185, 464204, 696223, 928242, 1160261, 1392280?
232019*r + 166
What is the r'th term of -26088029, -52176067, -78264103, -104352137?
r**2 - 26088041*r + 11
What is the s'th term of 59, -27, -91, -133, -153?
11*s**2 - 119*s + 167
What is the o'th term of 729, 2345, 3961, 5577, 7193, 8809?
1616*o - 887
What is the o'th term of -70, -205, -540, -1165, -2170, -3645?
-15*o**3 - 10*o**2 - 45
What is the u'th term of 902, 2367, 3920, 5561, 7290, 9107, 11012?
44*u**2 + 1333*u - 475
What is the h'th term of 111696, 223371, 335060, 446769, 558504?
h**3 + h**2 + 111665*h + 29
What is the m'th term of -15, -548, -1043, -1500?
19*m**2 - 590*m + 556
What is the h'th term of -377606, -755032, -1132458, -1509884, -1887310, -2264736?
-377426*h - 180
What is the l'th term of 90039, 179730, 269421, 359112, 448803, 538494?
89691*l + 348
What is the n'th term of -81788, -81919, -82058, -82205, -82360, -82523?
-4*n**2 - 119*n - 81665
What is the a'th term of -93769, -186860, -279951?
-93091*a - 678
What is the d'th term of 107122, 107190, 107260, 107332, 107406, 107482, 107560?
d**2 + 65*d + 107056
What is the l'th term of 4286, 17364, 39160, 69674, 108906, 156856?
4359*l**2 + l - 74
What is the q'th term of -58
|
{
"pile_set_name": "DM Mathematics"
}
|
(-1350).
2/81
Calculate ((-146)/365)/(2/(-35))*(-1 + 0).
-7
What is 246/99 - 2 - (-10)/(-15)?
-2/11
3/(-2) - (-42)/28 - 3/5
-3/5
(-47)/8883*-27 - (-30)/182
4/13
Evaluate 3 + 100/(-28) + 1 + -1.
-4/7
8 - (2/6 - (-19 + (-208)/78))
-14
-17 + 9/(-56)*-104 - 240/(-7)
34
18/99*(-13)/((-1092)/(-77))
-1/6
Calculate 2/6*(-567)/27.
-7
Calculate (-16)/(-12)*-1*((17 - 10) + 5).
-16
What is 4/12*54/12 + 238/28?
10
Calculate 2 + (-13 - (17 + -25)).
-3
(-3)/6*-14*(-28 - (-2 + -24))
-14
Calculate (-290)/(-1740) - ((-9548)/(-24))/11.
-36
What is the value of 9*14/10*(-8)/(-84)?
6/5
What is 10/110 - (1 + (-162)/33)?
4
Evaluate (4 - 99/27)/((-3)/((-12)/(-14))).
-2/21
Evaluate 6/14 - (-38 + (-17831)/(-462)).
-1/6
(-64)/(-24)*6/(-4) + 1188/306
-2/17
What is the value of (259/296)/((-5)/(-80))*6/14?
6
(7 + 105)/16 + -15
-8
Evaluate ((-720)/1008)/((-6)/(-42)).
-5
What is -6*((-729)/(-144) + -5)?
-3/8
What is -2 + 3 - 62/(-84) - (-105)/(-63)?
1/14
What is 91/(-39)*240/(-70)?
8
Evaluate (-2235)/(-1192) - ((-4)/(-32))/(-1).
2
What is (-6)/(-54)*(29 - 37)*(-3)/(-12)?
-2/9
Calculate 459/(-63) - -7 - (96/(-133))/4.
-2/19
What is (1 - (-9)/(-4))*(-115)/((-115)/12)?
-15
What is the value of 31/310 - 4/90?
1/18
What is the value of (-12)/(-198)*(10 + -16)?
-4/11
What is 8/(-4) + -7*(12 + -10)?
-16
Evaluate 672 + -674 - ((-35)/(-12) - (-2)/(-3)).
-17/4
(2/12*14)/(7/3)*-7
-7
Evaluate (-130)/(-325) + 0 + 201/(-15).
-13
What is the value of (-357 + 372)*(5/(-3))/5?
-5
What is the value of -2 + -1 + 3 - (-18)/90?
1/5
What is the value of ((-2)/24 - 4510/1320) + (-66)/(-4)?
13
Evaluate ((-213)/426)/(7/252).
-18
Calculate -1 + 8*-1 + (-12)/(168/28).
-11
Calculate 14/((-182)/13)*(17 - -20).
-37
Evaluate -50 - 342/(114/(-6)).
-32
((-84)/(-20) - 4)*13/(572/(-55))
-1/4
Calculate 52/(-20) + (-348)/145.
-5
Evaluate (-3 + 5 + 8)*(-15 - -14).
-10
What is 38/(-285) - 462/(-90)?
5
Calculate (-33)/((-429)/(-208)) - -9.
-7
Evaluate -2 + 6 - ((-5076)/2376)/(1/(-2)).
-3/11
What is the value of 28/(-21)*(-1)/(-4)*6*1?
-2
(-1092)/126 + (-1)/3
-9
What is ((-252)/(-270) + (-14)/21)/(8/102)?
17/5
Evaluate (8 + -7)/((-13)/286).
-22
What is the value of (-901)/424 + 21/(-24) + 1?
-2
Evaluate ((-47)/(-7))/(-26 - -25) + 42/(-147).
-7
Evaluate (18/30)/(-15*18/(-60)).
2/15
300/(-250)*30/3
-12
What is ((-25)/(-30) + 0)/(22/((-1144)/39))?
-10/9
Calculate -82 - -93 - (15 + 2).
-6
What is the value of (-301)/1575 - (-14)/175 - (-146)/18?
8
2/35*((-8)/6 - (-154)/(-462))
-2/21
Calculate (330 + 30)/18 - 12.
8
Calculate ((-18)/(-117) + (-528)/728)*28*-1.
16
What is 200/(-35) + (-174)/(-29)?
2/7
What is the value of (-1)/(-16*7/(-1008))?
-9
Calculate 6 + 6*(-25)/30 + 0.
1
1 - 27/324*228
-18
What is 797 + -805 - 1*74/(-2)?
29
Calculate (-43 - -8)/5 - (-23 + 33).
-17
10 + -3 + 3 - 13
-3
What is (-4)/(-34)*17/4 - 35/2?
-17
What is ((-32)/12 + 0)*-27*11/132?
6
730/45 - (-212)/(-954)
16
2/(-15)*875/(-56)*(-56)/(-70)
5/3
What is the value of (152/(-76))/(2/(-1))?
1
What is (-714)/(-37485) - 8/(-21)?
2/5
What is 5 - 0 - (-60)/35*238/(-51)?
-3
What is (-2)/(-26) - (0 + (-335)/(-130))?
-5/2
What is 676/(-792)*-3 - (-397)/2382?
30/11
Calculate (-9)/6 - 1260/120 - -16.
4
Evaluate ((-16)/(-34))/(20*(-4 + 205/50)).
4/17
What is (-2 + 744/378)/(8/24)?
-2/21
-1*37/(-2) + (-558)/12 + 47
19
(190/266)/((-25)/(-10))
2/7
What is the value of (-1 + (-93)/31 + -1)*29/5?
-29
Evaluate (-897)/9269*(-2)/(-3).
-2/31
What is 0 - (9/20)/(70/(-4) - -16)?
3/10
(-4)/42*(7 - (-364)/(-39))
2/9
Calculate -12 - ((-8954)/(-33))/((-748)/33).
-1/34
Evaluate ((-114)/(-209))/((-54)/1980).
-20
What is the value of (-19 + 11 + 5)*(-6)/9?
2
What is ((23 + -18)/(1/23))/(-2 - -7)?
23
What is the value of 2/(-6*(-24)/(-504))?
-7
Calculate (-28)/35 + 6 + 54/(-45).
4
Evaluate 5254/(-555) - 520/(-60).
-4/5
Calculate 2/(-8) - ((-765)/68 - -2).
9
What is the value of 2/34*3*(-6)/9?
-2/17
What is the value of (-3 - (-15)/6)/((-1498)/428)?
1/7
What is the value of 7 - ((-2 - 1)/(-15) + 32/(-10))?
10
(6/8 + (-34)/136)*-10
-5
(-48)/(-120) - (-462)/(-30)
-15
Evaluate 10 + -16 + (-275)/(-30) + (-2)/12.
3
What is the value of -13 + ((-512)/(-160) - 18/(-10))?
-8
((-32)/20)/((-52)/65)
2
What is (-130*30/375 - -14) + (-4)/(-10)?
4
Calculate 3/(-24)*16*4.
-8
What is the value of (-1*7 - -1)/(4737/(-12632))?
16
Evaluate 4 - 7 - ((-11)/2 + 0)*4.
19
Calculate (4/30*12)/(558/4185).
12
((-668)/1503)/((-5)/27)
12/5
What is 8/52 + (-1860)/(-78) + -1?
23
What is the value of (-469)/(-1127) + (-158)/553?
3/23
What is 151/(-115) + (-6)/69?
-7/5
What is 20/(24/(-66)*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
pose k*f + 4*q + 98 = -59, -3*f = -q + 152. Let c = 56 + f. Solve 6*g - c*g = -2 for g.
-2
Let k(l) be the first derivative of l**2/2 - 7*l - 145. Let a = -14 + 22. Let o be k(a). Solve -3 = -r - o for r.
2
Let i(w) = 3*w**2 - 24*w + 2. Let n be i(8). Let g be 1/((-5)/(-25)*5). Let q be (-23 + 22)*(g - 7). Solve q*o = n*o - 4 for o.
-1
Let d(h) = 14*h - 1. Let w be d(-12). Let r = -79 - w. Suppose s = 1, -4*m - s - s = -r. Solve 0 = 5*z + m + 3 for z.
-5
Suppose 5*i = 5*s - 98 + 13, 2*s - 8*i = 46. Solve -s*w = 78*w + 558 for w.
-6
Let y(o) = 3*o**3 - 14*o**2 - 16*o + 12. Let g be y(6). Let m = -57 + g. Solve 8 - 23 = m*f for f.
-5
Let f be (-1 - 2)*66/9. Let p = f - -12. Let w be 6/9 - p/(-15). Solve 2*n + 1 + 1 = w for n.
-1
Suppose 0 = 2*p + 5*u - 74, -65 - 83 = -4*p - 2*u. Suppose 24 = j + s, 4*s + 137 = 3*j + p. Solve j*d = 25*d + 12 for d.
4
Let k(u) = -u**2 - 7*u - 5. Let w be k(-5). Let m be 1 - w - 9/(-3). Let f(n) = 7*n**2 + 3*n + 1. Let g be f(m). Solve -g*b = -2*b + 9 for b.
-3
Let j = -3365 + 3512. Solve -157*p - 30 = -j*p for p.
-3
Suppose -c - 58 = -n - 10, 20 = -4*n. Let r = c + 52. Let b(l) = -5*l**3 + l**2 + l. Let v be b(r). Solve -v = 2*t + 5 for t.
-5
Suppose -2*q - 3*d = 1032, -2*q = -7*d + 8*d + 1040. Let f = q - -539. Solve 6*n + f = 5 for n.
-2
Suppose 0 = -32*r + 33*r + 12. Let v(l) = l**2 + 13*l + 12. Let f be v(r). Suppose f = -5*j - 24 + 24. Solve 3*a = -j*a + 9 for a.
3
Let f = -333 - -338. Suppose 2*m + 45 = 3*z + f*m, -2*m = -z + 3. Solve -6*k + z*k - 10 = 0 for k.
2
Suppose 0*w + 4*w = -t + 626, -4*w - 658 = -t. Let b = t - 638. Solve 31 - 15 = -b*p for p.
-4
Let b(i) = -2*i + 12. Let h(c) = c - 6. Let r(l) = 2*b(l) + 5*h(l). Let d be -6*7/(-105)*15/1. Let p be r(d). Solve 2 = -p*w + 2*w for w.
1
Let j = 4416 - 3895. Solve 4*z - 533 = -j for z.
3
Let z(j) = -230*j - 2522. Let p be z(-11). Solve 0 = -p*y + 8 for y.
1
Suppose -4*c = 4*b + 1820, -28*b + 27*b = -3*c + 455. Let d = b - -459. Solve 6*y - 2 = d*y for y.
1
Suppose 2*x - 5 = -v, v + v - 12 = -5*x. Suppose 144 = 2*p + 2*p - 5*y, -4*y - 108 = -3*p. Let n be (-4*3/p)/(x/(-12)). Solve -7*h - 25 = -n*h for h.
-5
Suppose -4*k - 4*z + 103 + 105 = 0, 4*k - 215 = -5*z. Solve 88 = -k*y - 137 for y.
-5
Suppose -3*d = -d + 8. Let t be ((-2)/d)/(3/24). Suppose 5*p + 2*n - 99 = -16, 0 = 4*p - t*n - 44. Solve 0*y = 5*y - p for y.
3
Let u = -29174 - -29204. Solve -219*a + 225*a = u for a.
5
Suppose 19*b = 28*b - 90. Let f be 8*(1/4)/(5/b). Solve 10*u = 9*u - f for u.
-4
Suppose a - 9 = 3*k - a, -2*k + a = 6. Let r(v) = -4*v**3 + 94*v**2 - 132*v - 1. Let u be r(22). Let l be (-4 - k - u)/(-3). Solve l = 2*p - 5*p + 15 for p.
5
Let x(z) = -z**2 + 3*z + 2. Let m be x(4). Let k(c) = -2*c**3 + 9*c + 10. Let p be k(m). Solve 0 = -b - p + 6 for b.
-2
Suppose 1750 = 4*b - 991*t + 993*t, -3*t = 4*b - 1759. Solve b*k = 420*k - 91 for k.
-7
Let a be (88/(-33))/(-4) + (-2120)/(-6). Solve 0 = -2*u + a - 346 for u.
4
Let c(m) = -m**3 - m**2 + 119*m - 329. Let o be c(7). Solve -179*n + 163*n = -o for n.
7
Let p(i) = 7*i**3 - 10*i**2 - 14*i + 24. Let o(f) = 6*f**3 - 10*f**2 - 12*f + 23. Let j(w) = -5*o(w) + 4*p(w). Let q be j(4). Solve 0 = -10*k - q + 9 for k.
-2
Let v(a) = -a**3 - 10*a**2 - 9*a - 21. Let h be v(-9). Let o be h*1*8/(-28). Solve -o*b = -0 - 18 for b.
3
Let g(i) = -i**3 + 10*i**2 + 139*i + 44. Let h be g(14). Solve -4*r = h - 1238 for r.
8
Let c be ((-23)/3)/(((-84)/72)/7). Solve 9*i + 14*i - c = 0 for i.
2
Let y be 0 + (0 - -3) + 20/(-10). Suppose s - 4 - y = 0. Solve 0*j = j - s for j.
5
Let w = -24761 - -24846. Solve 5*n - 80 = -w for n.
-1
Let o = -206 - -233. Suppose -3*w - 19 = -4*c, w - o = -4*c - 12. Solve 2*f = -c*f + 30 for f.
5
Let b = -1870 - -1879. Solve -b*n - 4*n - 39 = 0 for n.
-3
Let d(h) = -h**2 - 20*h + 1. Let p be d(-18). Let g = 127 + -105. Solve g - p = 5*x for x.
-3
Let y(t) = -4*t + 85. Let r be y(3). Let s = r + -69. Solve 0 = -s*n + 3*n - 4 for n.
-4
Suppose 96*o = 125*o - 87. Solve 0 = -o*p + 4*p
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4)/1*55/44
-5
What is 84/63*(-3)/(-3)?
4/3
Calculate ((-4)/(-21))/(6/135*15).
2/7
What is 8/2*((-2)/(-7))/(-2)?
-4/7
8*5/(10/(-1))
-4
Calculate (-6)/(-9)*6/(-2*1).
-2
What is (-2)/(-22)*(-2)/(-2)*-1?
-1/11
Calculate 1*1*(-3)/(-1).
3
What is the value of (-424)/(-1590)*(-5)/2?
-2/3
Calculate 0*4/3*15/40.
0
((-23)/(1610/28))/(-3)
2/15
69/46*12/(-42)
-3/7
What is the value of ((-8)/(-24))/((-1)/(-12))?
4
What is the value of 2*(2/4)/(12/(-6))?
-1/2
Calculate (-45)/(-72)*4*(-6)/5.
-3
What is (-936)/390*2*5/4?
-6
What is the value of 7/9*9*5/15?
7/3
What is the value of (29/((-145)/6))/(2/10)?
-6
What is the value of 1/(-7)*490/(-70)?
1
What is ((-27)/(-72))/(6/112)?
7
What is the value of (-1*1*6)/(99/(-66))?
4
What is the value of 450/675*6/(-2)?
-2
Calculate 22/22*(-4)/(-1).
4
25/15*27/15
3
Evaluate ((45/63)/(-5))/((-1)/(-2)).
-2/7
Calculate (24/(-90))/(15*(-2)/(-25)).
-2/9
Evaluate (1/((-2)/3))/((-6)/16).
4
20/25*(-30)/4
-6
What is the value of (336/448)/(1/(-8))?
-6
Evaluate (((-3)/18)/(8/(-24)))/(-1).
-1/2
What is the value of ((-8)/(-3))/((-9)/(135/(-10)))?
4
Calculate -1*28/((-8)/(-2)).
-7
(-1)/(120/(-32))*(-9)/6
-2/5
What is 30/(-25)*3/(-9)?
2/5
What is (-3)/((-4)/36*-3*-3)?
3
What is the value of 4/(-3)*-6*(-4)/(-16)?
2
Evaluate 4/(-3)*(1554/56)/(-37).
1
Evaluate 3*(-2)/(-4)*90/(-405).
-1/3
What is the value of 5*((-9)/(-12))/((-90)/(-24))?
1
Calculate 9/(90/50)*(-1)/1.
-5
((-1)/5)/((-3)/(-9))
-3/5
What is the value of (40/24*-1)/(1/1)?
-5/3
Evaluate (-3)/(15*2)*2.
-1/5
Calculate ((-60)/5)/(-2)*(-6)/(-12).
3
Calculate ((-18)/12)/((-2)/4).
3
What is the value of 1/(15*(-3)/(-36))?
4/5
Evaluate 1458/(-162)*1/(-3).
3
2*14/(224/(-24))
-3
What is ((-3)/9)/(5/(-30))?
2
Calculate (-2)/8*(0/6)/(-5).
0
What is the value of ((-8)/(-20))/(14/20)?
4/7
What is the value of -1*-5*(-6)/(-75)?
2/5
What is (12/(-16)*1)/(21/8)?
-2/7
(-75)/25*4/(-3)
4
Evaluate 27/6*448/(-252).
-8
((18/(-3))/(-2))/1
3
What is the value of 22/(-99)*1/(-4)*6?
1/3
Evaluate (-4)/18*-3*8/(-24).
-2/9
What is the value of (-6)/(-27)*(-16)/16?
-2/9
What is the value of (((-88)/(-33))/(-2))/((-20)/6)?
2/5
What is (-1*(-5)/(-5))/(-6)?
1/6
Calculate ((-3)/2)/(-7*14/(-196)).
-3
Calculate ((-6)/44)/((312/(-16))/13).
1/11
What is the value of (2/1)/(-1)*(-15)/6?
5
Calculate ((-6)/10)/((-68)/340).
3
What is (-140)/(-42)*3/(-2)?
-5
Evaluate (-12)/10*185/(-999).
2/9
Evaluate 24/8*(-11)/((-99)/6).
2
Calculate (-9)/4*(-16)/(-12).
-3
What is the value of 4/((-72)/((-16)/4))?
2/9
(-84)/70*(-20)/6
4
What is the value of -5*((-49)/(-7))/(-7)?
5
What is the value of (0/(-1))/(6/(-6))*-1?
0
Evaluate (-50)/(-5)*1*3/6.
5
What is the value of (6/(-8))/1*(-24)/(-6)?
-3
Calculate ((-46)/69)/((-1)/(-3)).
-2
Evaluate (-45)/(-81)*30/(-25).
-2/3
Calculate 2/7*10/(120/28).
2/3
Calculate (2/5)/(8*8/(-120)).
-3/4
(21/126)/((-4)/(-18)*3)
1/4
2/78*54/((-27)/(-3))
2/13
What is the value of (((-4)/6)/2)/(205/(-123))?
1/5
What is the value of (-4)/10*2/20*25?
-1
Calculate (1/(112/21))/((-9)/(-12)).
1/4
What is ((-6)/4)/(19/(76/(-45)))?
2/15
Calculate (6/(-24))/((-2)/40).
5
(0/5)/((-5)/((-15)/9))
0
(0*(-3)/3)/1
0
4/(-6)*((-3105)/(-18))/23
-5
What is (-2*6/63)/(24/28)?
-2/9
Calculate (-20)/(-50)*5/2.
1
Evaluate ((-36)/540)/(4/(-10)).
1/6
Evaluate (15/24)/((-6)/(-48)*-2).
-5/2
(118/413)/((-1)/7)
-2
What is ((0/2)/(-2))/(10/10)?
0
12/(-2)*-1*6/(-6)
-6
Calculate ((51/(-18))/17)/(20/(-90)).
3/4
Calculate (-3*2/(-27))/(1/3).
2/3
Calculate ((-13)/(-6))/(-13)*-15.
5/2
What is ((-3)/(-10))/((-7)/28*-12)?
1/10
Evaluate (-44)/(-33)*((-9)/1)/(-3).
4
What is the value of 1/12*-2*(-14)/(-7)?
-1/3
What is (6/(-8))/((-9)/(-72)*-2)?
3
Evaluate ((-44)/(-22))/((-1)/2).
-4
What is the value of ((-366)/4575)/(-1*2/(-10))?
-2/5
Evaluate (1/2)/((-493)/(-68)).
2/29
What is -6*((-12)/(-6))/(-36)?
1/3
Calculate ((-45)/180)/((-1)/4).
1
(-8)/(256/(-24))*(-4)/18
-1/6
Calculate ((-2)/(-4))/((-17)/34).
-1
What is (12/32*-4)/(6/(-2))?
1/2
Evaluate 0*((-2)/20)/(3/(-15)).
0
What is 1*5/(-50)*5/(-2)?
1/4
Evaluate (8/(-56))/(16/56)*0.
0
(-10)/(-2)*2*(-6)/15
-4
What is the value of ((-98)/(-1274))/(1/(-3))?
-3/13
(3/(-144)*4)/(2/4)
-1/6
((-4)/12)/((-19)/(-171))
-3
What is the value of -3*1/(-3)*0/21?
0
Evaluate -4*3/2*(-6)/36.
1
What is the value of (6/(-10))/(19/(475/(-15)))?
1
Evaluate -3*2/(-9)*(-30)/(-110).
2/11
(-5)/5*(6/6)/(-6)
1/6
What is ((810/(-20))/27)/(6/(-4))?
1
Calculate 5*2/6*90/150.
1
What is 1/10*55/(-33)?
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
composite number?
True
Is 79319797 a composite number?
True
Is 43093589107 a composite number?
True
Is 14207034581 composite?
False
Is 2868996191 a prime number?
True
Is 61264223 a composite number?
False
Is 7903564267 a composite number?
True
Is 226031783 a composite number?
False
Is 1032143943 prime?
False
Is 8420469689 a composite number?
False
Is 1075217849 a composite number?
False
Is 1082170483 a composite number?
True
Is 27158944639 a prime number?
True
Is 149683123901 prime?
True
Is 69598249657 composite?
False
Is 216164131 composite?
False
Is 1549273627 prime?
False
Is 6907310321 a prime number?
True
Is 660465899 composite?
False
Is 1805562433 a composite number?
True
Is 1200683254 composite?
True
Is 11676419 composite?
True
Is 984577871 a composite number?
True
Is 24717752503 prime?
True
Is 11771724607 composite?
True
Is 2985634471 a prime number?
True
Is 7708880339 a composite number?
True
Is 737005361 prime?
True
Is 1744606873 a prime number?
True
Is 258364783 a composite number?
False
Is 119743012639 composite?
False
Is 2397653249 prime?
True
Is 662130517 composite?
True
Is 2093407847 a composite number?
True
Is 1691031107 composite?
False
Is 2490447493 a composite number?
False
Is 13885680233 prime?
True
Is 3755446399 a prime number?
False
Is 1856802251 composite?
False
Is 632240293 prime?
False
Is 5400707303 prime?
False
Is 6615153074 a prime number?
False
Is 12455612677 a composite number?
False
Is 225214631 a prime number?
True
Is 429847337 composite?
False
Is 139738239353 a prime number?
False
Is 2076433631 prime?
False
Is 42865858657 a prime number?
True
Is 671197759 composite?
True
Is 414884111 composite?
False
Is 474384601 composite?
True
Is 29926836547 a prime number?
True
Is 7109578319 prime?
True
Is 12832891195 a composite number?
True
Is 2725643269 a prime number?
False
Is 436525421 composite?
False
Is 602456317 composite?
False
Is 22245406837 a prime number?
True
Is 215373953 composite?
False
Is 52926677 a composite number?
False
Is 1392340523 composite?
True
Is 209034871 prime?
False
Is 31981961 prime?
False
Is 3728893346 a composite number?
True
Is 5845816927 composite?
True
Is 35739401 composite?
True
Is 994999739 prime?
True
Is 2476453481 composite?
False
Is 9775846979 composite?
True
Is 10754337163 a prime number?
True
Is 4090817611 a composite number?
True
Is 15428252173 composite?
False
Is 4813082033 prime?
False
Is 887136533 prime?
False
Is 91617461581 composite?
False
Is 9610510487 a composite number?
False
Is 179406716321 a prime number?
False
Is 1692992069 composite?
False
Is 964906843 prime?
False
Is 7321393 a composite number?
False
Is 48364561879 a composite number?
True
Is 6620499199 prime?
True
Is 40088467 composite?
False
Is 3163434427 a composite number?
False
Is 9940363819 composite?
True
Is 1041091357 prime?
True
Is 272036911739 a composite number?
False
Is 783347603 composite?
True
Is 5435148289 a composite number?
False
Is 6328067 prime?
True
Is 55199664347 prime?
True
Is 1068092654 composite?
True
Is 68136613121 a composite number?
False
Is 430044853 composite?
True
Is 1283529671 composite?
False
Is 72489791 a composite number?
True
Is 211024088831 a prime number?
True
Is 18691991 composite?
True
Is 44187223 a composite number?
False
Is 462313967 a prime number?
True
Is 70290375403 a composite number?
False
Is 2382458549 a prime number?
True
Is 139071534529 a composite number?
False
Is 13423913479 a composite number?
False
Is 289993801 composite?
True
Is 301985017 composite?
True
Is 1709111377 prime?
True
Is 463096819 a prime number?
False
Is 8334619009 a prime number?
True
Is 25643166433 a composite number?
False
Is 623358007 a prime number?
True
Is 42684292349 a prime number?
True
Is 572663129 composite?
False
Is 109569083 a prime number?
False
Is 3473860805 prime?
False
Is 1934433665 prime?
False
Is 1526632069 composite?
True
Is 1339512529 a composite number?
False
Is 149909419 a composite number?
True
Is 6298056938 a composite number?
True
Is 280648162357 a composite number?
True
Is 56884547 prime?
True
Is 1825238867 a composite number?
False
Is 600090553 a composite number?
False
Is 108353591 a prime number?
True
Is 1100121859 a prime number?
False
Is 46325299507 composite?
False
Is 2114961259 composite?
True
Is 24788107 a prime number?
False
Is 1100086661 composite?
False
Is 217000758557 a prime number?
False
Is 31137362857 a composite number?
False
Is 415603783 a prime number?
False
Is 589988033 prime?
True
Is 13594919011 prime?
False
Is 30570768791 a prime number?
True
Is 14827090133 composite?
True
Is 10802714551 a composite number?
False
Is 19870053257 composite?
True
Is 756658891 a prime number?
False
Is 3556837437 composite?
True
Is 795333991 composite?
False
Is 556656811 prime?
True
Is 1269942623 composite?
False
Is 35236966637 prime?
False
Is 116866489 prime?
False
Is 4045912961 prime?
True
Is 30336363727 a composite number?
False
Is 15392212435 a prime number?
False
Is 98145283 prime?
True
Is 2232324569 prime?
True
Is 155711630521 prime?
False
Is 434729849 a prime number?
True
Is 544159907 prime?
True
Is 2623013681 a prime number?
False
Is 44971880659 composite?
True
Is 17063863 a composite number?
False
Is 12453475987 a composite number?
True
Is 563692907 a composite number?
False
Is 6021415291 a composite number?
False
Is 3294892019 prime?
True
Is 37543776493 a prime number?
False
Is 120858131 a prime number?
False
Is 1972761179 a composite number?
False
Is 11830973983 composite?
True
Is 277820237 composite?
True
Is 31358505833 prime?
True
Is 843794581 a composite number?
True
Is 74153934131 prime?
True
Is 1713398647 a prime number?
True
Is 1546831757 prime?
True
Is 239886071 a composite number?
False
Is 29622288379 a prime number?
True
Is 267520717 a composite number?
True
Is 2905057417 a composite number?
False
Is 5018716247 composite?
True
Is 710376479 composite?
False
Is 39667434197 a prime number?
True
Is 237422957 a composite number?
False
Is 81907621 prime?
False
Is 23554476001 a composite number?
True
Is 5620816577 a
|
{
"pile_set_name": "DM Mathematics"
}
|
118 - 2*i - 82 - 34. Give y*t(o) + 5*b(o).
2*o + 3
Let l(s) = -s + 2. Let f(d) be the first derivative of -1/2*d**2 + 7 + 2*d. Determine 6*f(t) - 7*l(t).
t - 2
Let g(o) = -13530*o**3 - 165*o**2 + 165*o + 165. Let c(j) = -330*j**3 - 4*j**2 + 4*j + 4. Determine 165*c(q) - 4*g(q).
-330*q**3
Let c(q) = -q**3 + 21*q**2 + 49*q - 75. Let b be c(23). Let i(y) = 2*y + 8. Let k(u) = 2*u + 7. Give b*k(d) + 5*i(d).
-2*d - 2
Let b(f) = 26*f**3 + 6*f**2 - 17*f - 3. Let o(g) = -21*g**3 - 5*g**2 + 15*g + 3. Calculate 4*b(w) + 5*o(w).
-w**3 - w**2 + 7*w + 3
Let c(l) = l**3 + 1. Let i(y) = 3*y**3 + 16*y + 4. Determine 6*c(w) - i(w).
3*w**3 - 16*w + 2
Let d(y) = -40*y**2 - 10*y + 10. Let s(c) = -c + 1. What is -d(q) + 10*s(q)?
40*q**2
Let l(u) = 12*u - 5. Let o(c) = 18*c - 8. Suppose 170*a - 162*a - 40 = 0. Give a*o(m) - 8*l(m).
-6*m
Let y(x) = 7*x - 115. Let o(d) = -20*d + 345. Give -6*o(p) - 17*y(p).
p - 115
Suppose -2*c - 1 + 9 = 0. Let f(q) = -q**2 + 6*q**2 - q**2 - 5*q**3 - q**3 - 5. Let k(a) = -17*a**3 + 11*a**2 - 14. Let s = 14 + -25. Give c*k(j) + s*f(j).
-2*j**3 - 1
Let r(w) = 11*w**2 + 9. Let u(n) = -2*n**2 - 44*n - 9. Let j be u(-22). Let c(o) = 2*o**2 - 8*o**2 - 4 + o**2. Calculate j*c(m) - 4*r(m).
m**2
Let h(j) = j**2 - 5*j - 8. Let s(g) = -2*g**2 + 6*g + 9. Let v(r) = -6*h(r) - 5*s(r). Let t(i) = -i**2 - 1. Determine 3*t(w) + v(w).
w**2
Let l(w) = 2 + 2 - 3 + 0. Let p be 19 + -23 - (0 - 5). Suppose 6 = -4*v - 6. Let u(i) = -2*i + 3. What is p*u(z) + v*l(z)?
-2*z
Let p be (-6)/10 + (-385)/25. Let s = 22 + p. Let i = -9 - -16. Let v(d) = 5*d + 6. Let w(h) = -6*h - 7. Give i*v(z) + s*w(z).
-z
Let s(p) = -21*p**2 + 33*p. Let t(i) = -19*i**2 + 31*i. Give -4*s(l) + 5*t(l).
-11*l**2 + 23*l
Let h(b) be the first derivative of 7*b**3/3 - b**2 + 3*b - 92. Let r(q) = -2*q + 5 + 11*q**2 - q + 0*q**2 + 0*q. Give 8*h(a) - 5*r(a).
a**2 - a - 1
Let r(x) = 4*x**2 - 10*x - 4. Let d(q) = q + 1. Calculate 5*d(y) + r(y).
4*y**2 - 5*y + 1
Let u(o) = -18094*o - 1411. Let i(v) = -77*v - 6. Determine 1411*i(x) - 6*u(x).
-83*x
Let h be (-1 - 0)*(5 - 6) + -1. Suppose v + 4*v - 20 = h. Let p(o) = -4*o**2 - 5*o - 5. Let s(t) = 3*t**2 + 4*t + 4. Give v*p(c) + 5*s(c).
-c**2
Let d(j) = -5*j - 118. Let m(z) = 9*z + 235. Give -11*d(g) - 6*m(g).
g - 112
Let y be (-101)/(-9) - 4/18. Let t(u) = 8*u - 10*u + u. Let n(v) = 6*v - 1. What is y*t(p) + 2*n(p)?
p - 2
Let a(b) = -8*b**2 + 2 + 12*b**2 - 2*b**2 - 4. Let s(x) = -3*x**2 + 2. Determine 2*a(p) + 3*s(p).
-5*p**2 + 2
Let i(w) = -158*w - 79. Let b(d) = d + 1. Give 237*b(x) + 3*i(x).
-237*x
Let u = 866 + -860. Let a(h) = -8*h - 10. Let s(p) = -7*p - 9. What is u*s(f) - 5*a(f)?
-2*f - 4
Let i(j) = 5*j + 2. Let l = 71 + -71. Let f(q) = l*q + 12*q - 3*q + 3 - q**2. Give 3*f(k) - 5*i(k).
-3*k**2 + 2*k - 1
Let g(t) = -t**2 + t. Let l(k) = -6*k**2 + 4*k + 1. Suppose 0*u + u + 5*i = 30, -u + 5*i - 20 = 0. What is u*g(a) - l(a)?
a**2 + a - 1
Let f(l) = l - 349. Let u(y) = y - 343. Determine 3*f(i) - 2*u(i).
i - 361
Let b(f) = -25*f**3 + 8*f**2 - 5. Let m(y) = -y**3 + 2*y**2 + 1. Let j(l) = b(l) - 6*m(l). Let z(h) = 10*h**3 + 2*h**2 + 6. Determine -6*j(c) - 11*z(c).
4*c**3 + 2*c**2
Let u(j) = -3*j**2 + 6*j - 2. Let r(v) = 2*v**2 - 3*v + 1. What is 7*r(g) + 4*u(g)?
2*g**2 + 3*g - 1
Let k = -29 - -31. Let q(o) = -8 - k*o + 12 - 2. Let v(m) = -m**2 - 9*m + 9. What is 18*q(g) - 4*v(g)?
4*g**2
Let a(g) = 6*g**3 + 2*g**2 + 8*g + 8. Let h(m) be the first derivative of -5/2*m**2 - m**4 - 5*m - 3 - 1/3*m**3. Give -5*a(t) - 8*h(t).
2*t**3 - 2*t**2
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m be q(4). Give s(m).
2
Let w(g) be the third derivative of g**5/60 - g**4/24 - g**3/6 - g**2. Let r(t) = 8*t**2 - 4*t - 5. Let s(q) = -r(q) + 4*w(q). What is s(1)?
-3
Let a(n) = n**2 + 9*n. Let d(q) = q**2 - 5*q - 9. Let i be d(5). What is a(i)?
0
Let r(j) = j**2 + 3*j + 1. Let o(t) = t + 9. Let d be o(-10). Determine r(d).
-1
Let r(s) = 8*s - 19*s + 12*s - 1. Calculate r(3).
2
Suppose 18 = -6*g - 0. Let a(v) = -v**2 - 2 - 2 - 4*v - v. Give a(g).
2
Suppose -12 = 5*w - 3*w. Let r be 7*-1*w/21. Let y(a) = -a**2 - 2*a + 2. Give y(r).
-6
Let v(d) be the third derivative of d**6/360 + d**5/120 - 5*d**4/24 - 5*d**2. Let r(h) be the second derivative of v(h). Determine r(-3).
-5
Let v = 6 + -5. Suppose -2*b + 3*a = v, 4*b - 3*b + 5*a = -7. Let d(y) = -1 + y**3 + 3 + y - 2*y**3. Calculate d(b).
8
Let s be -3 + 0 + 5/1. Let k = 0 + s. Let u(f) = -f + 1. Give u(k).
-1
Let v(p) = -2*p**2 - 12*p + 25. Let d(x) = 3*x - 10. Let q be d(7). Let y(j) = -j**2 - 6*j + 13. Let s(m) = q*y(m) - 6*v(m). What is s(-6)?
-7
Let w(q) be the second derivative of 0 + 0*q**3 - 1/12*q**4 - 3*q**2 + 4*q. What is w(0)?
-6
Suppose 2*p = 5*p + 5*q + 4, 2 = -p - 2*q. Let w(a) = p + 2 + 0*a + 2*a. Calculate w(-3).
-2
Let b(y) = y + 2 + 46*y**2 - 1 - 49*y**2. What is b(-3)?
-29
Let k be 1/4 - 31/(-4). Let q = -3 + k. Let b(m) = m**3 - 4*m**2 - 2*m + 0*m + q*m. What is b(2)?
-2
Suppose -2*b + 4*f = -5*b - 10, -5*b = 4*f + 14. Let d = b - -3. Let z(y) = 0*y - y**3 - y + 2*y**2 + 3*y**3. Calculate z(d).
3
Let g(u) be the second derivative of -2*u + 1/2*u**2 + 0 + 4/3*u**3. Determine g(1).
9
Let h(l) = -l**3 + l**2. Suppose -2*m - 2 = -3*m. Suppose -5*d + 2*r + m - 5 = 0, 0 = -5*d + 5*r - 15. Let w = d + 0. What is h(w)?
0
Let y(j) = j - 9. Let v(m) = -3*m**3 + m. Let f be v(1). Let p be f/((-1)/(9/6)). Let q be (2 + (p - 5))/(-2). Calculate y(q).
-9
Let q(p) be the first derivative of p**4/4 - p**3/3 + p**2/2 - p - 2. Let a = 2 - 0. What is q(a)?
5
Let j(f) = -f**2 + 4*f - 1. Let z be 6/(3 - 5) + 7. Give j(z).
-1
Let a(h) = h**2 - 6*h - 5. Suppose 6 = -4*i + 5*i. Determine a(i).
-5
Suppose -4*m - 4 = 0, 6 = 6*y - y + 4*m. Let x(h) = y*h - 5*h - 2 + 2*h + 1. Determine x(4).
-5
Let a be 2 - 5 - (-21)/3. Suppose 5*q + 5*c - 18 = 6*q, -c = a*q - 12. Let k(l) = 3*l - 1. Calculate k(q).
5
Let y(m) be the second derivative of m**5/20 - 5*m**2/2 - 14*m. Give y(0).
-5
Let f(b) = b**3 + 5*b**2 - b - 1. Suppose 3*z = -3*l - 2*z, -26 = 4*l - 2*z. Determine f(l).
4
Let g(j) = -27*j + 1. Let k be g(1). Let p be (-20)/(-30) + k/(-6). Let s(r) = r**2 - 4*r + 2. Determine s(p).
7
Suppose 4*u - 29 = -81. Suppose 2*x - 28 = -4*l, 5*l - 2*l = -4*x + 11. Let q = l + u. Let m(a) = -4*a - 3. Determine m(q).
13
Let i(j) = -j**3 - 4*j**2 - 4*j - 1. Suppose -2*a + 5*s - 6 = 0, 5*a - 5*s + 15 = -0*a. What is i(a)?
2
Let d = 5 - 2. Let k be 1 + 1 + (-6)/d. Let m(x) = x - x - x + k. What is m(2)?
-2
Let g be (-2)/7 + 23/7. Let n(k) = -g + 3 + 6*k - 9*k. Let y = 7 - 4. Give n(y).
-9
Let m = 21 + -15. Let r be 2 + -4 - m/2. Let z(j) = j**3 + 6*j**2 + 4*j + 4. Determine z(r).
9
Suppose 0*c + 5*c - 10 = 0. Let q(n) = -4 + 3*n**c + n + n + 0*n**3 - n**3 + 0. Determine q(3).
2
Let g be 8/24 - 1/(-3). Let r(k) be the first derivative of -k**2 + 1 - g*k**3 - 3*k. Calculate r(-2).
-7
Let f(t) be the third derivative of -t**4/24 + t**3/3 - 18*t**2. Let i be (-1 - (-5 + 2)) + 4. Determine f(i).
-4
Let d(h) be the first derivative of -h**2/2 - 3*h - 9. What is d(-6)?
3
Let z(x) = -x**2. Let j(r) = 3*r**2 + 5*r - 2. Let u(y) = j(y) + 2*z(y). Calculate u(-7).
12
Let l(y) be the first derivative of -1 - y**3 - y - 1/4*y**4 + 1/2*y**2. Determine l(-3).
-4
Let z be (-2)/8 + 25/20. Let r(m) = -6*m - 2 + m + z. What is r(-1)?
4
Suppose -4*y + 4*x = -16, y - 2*x + 3*x = 6. Let a = 81 - 73. Let v = a - y. Let i(w) = w**2 - 4*w - 1. Give i(v).
-4
Suppose 2*o + 2*j = -0*o + 6, -o = -2*j + 3. Let h(x) = -5*x
|
{
"pile_set_name": "DM Mathematics"
}
|
5854*h**2 + 976
What is the p'th term of 122855, 122026, 121213, 120422, 119659, 118930, 118241?
p**3 + 2*p**2 - 842*p + 123694
What is the p'th term of 56656258, 56656260, 56656262, 56656264, 56656266, 56656268?
2*p + 56656256
What is the o'th term of 15120, 15888, 17158, 18930, 21204?
251*o**2 + 15*o + 14854
What is the t'th term of -19812, -19122, -18432, -17742, -17052?
690*t - 20502
What is the a'th term of -14208, -15471, -16734, -17997?
-1263*a - 12945
What is the u'th term of 270469, 1081948, 2434407, 4327846?
270490*u**2 + 9*u - 30
What is the f'th term of -151531, -302955, -454379, -605803, -757227?
-151424*f - 107
What is the i'th term of -31885, -10022, 11841?
21863*i - 53748
What is the r'th term of -51985, -60396, -68809, -77224, -85641?
-r**2 - 8408*r - 43576
What is the c'th term of 33362, 33240, 33028, 32720, 32310, 31792, 31160, 30408?
-c**3 - 39*c**2 + 2*c + 33400
What is the q'th term of -8647, -17634, -26621, -35608, -44595, -53582?
-8987*q + 340
What is the r'th term of -2594534, -5189062, -7783586, -10378106, -12972622?
2*r**2 - 2594534*r - 2
What is the i'th term of 1682936, 1682934, 1682932, 1682930, 1682928, 1682926?
-2*i + 1682938
What is the n'th term of 1195942, 2391912, 3587904, 4783918, 5979954, 7176012?
11*n**2 + 1195937*n - 6
What is the p'th term of 2533, 1943, 983, -329, -1975, -3937, -6197, -8737?
3*p**3 - 203*p**2 - 2*p + 2735
What is the s'th term of 33241945, 66483895, 99725843, 132967789, 166209733?
-s**2 + 33241953*s - 7
What is the p'th term of 1448, 1008, 266, -784, -2148, -3832, -5842?
-p**3 - 145*p**2 + 2*p + 1592
What is the z'th term of 8000, 16403, 30408, 50015, 75224?
2801*z**2 + 5199
What is the m'th term of 8500, 8497, 8512, 8551, 8620, 8725, 8872?
m**3 + 3*m**2 - 19*m + 8515
What is the s'th term of 11017, 10994, 10933, 10834, 10697?
-19*s**2 + 34*s + 11002
What is the a'th term of 243, 1179, 2717, 4857, 7599?
301*a**2 + 33*a - 91
What is the t'th term of -1053997, -1053983, -1053967, -1053949, -1053929, -1053907?
t**2 + 11*t - 1054009
What is the k'th term of 136191, 136194, 136197?
3*k + 136188
What is the m'th term of 72551, 145074, 217569, 290036?
-14*m**2 + 72565*m
What is the b'th term of -144803, -579388, -1303757, -2317910?
-144892*b**2 + 91*b - 2
What is the l'th term of 36880, 36675, 36470, 36265, 36060, 35855?
-205*l + 37085
What is the i'th term of -6243, -24843, -55871, -99333, -155235, -223583?
-i**3 - 6208*i**2 + 31*i - 65
What is the a'th term of -187232, -187216, -187202, -187190, -187180?
-a**2 + 19*a - 187250
What is the d'th term of -26249, -26204, -26159?
45*d - 26294
What is the w'th term of 1669779, 3339381, 5008985, 6678591?
w**2 + 1669599*w + 179
What is the n'th term of 637625, 1275275, 1912945, 2550635?
10*n**2 + 637620*n - 5
What is the y'th term of -2010937, -4021878, -6032819, -8043760, -10054701, -12065642?
-2010941*y + 4
What is the b'th term of 1583, 3268, 5027, 6860, 8767, 10748, 12803?
37*b**2 + 1574*b - 28
What is the i'th term of -1781, -14501, -49167, -116795, -228401, -395001?
-1836*i**3 + 43*i**2 + 3*i + 9
What is the m'th term of -458, -915, -1374, -1835, -2298, -2763?
-m**2 - 454*m - 3
What is the t'th term of -2676, -22100, -75312, -179352, -351260, -608076?
-2840*t**3 + 146*t**2 + 18*t
What is the b'th term of -341714, -683428, -1025144, -1366862, -1708582?
-b**2 - 341711*b - 2
What is the i'th term of -323762, -323768, -323778, -323792?
-2*i**2 - 323760
What is the k'th term of -75918, -303567, -682948, -1214061?
-75866*k**2 - 51*k - 1
What is the u'th term of 20268804, 20268805, 20268806?
u + 20268803
What is the y'th term of 12814, 21181, 29548?
8367*y + 4447
What is the o'th term of -112941781, -112941779, -112941777, -112941775, -112941773, -112941771?
2*o - 112941783
What is the o'th term of 26369, 210955, 711983, 1687679, 3296269, 5695979, 9045035, 13501663?
26371*o**3 - 5*o**2 + 4*o - 1
What is the i'th term of -5510197, -5510189, -5510179, -5510167, -5510153, -5510137?
i**2 + 5*i - 5510203
What is the n'th term of 135123, 135107, 135091, 135075?
-16*n + 135139
What is the c'th term of -1732163, -6928604, -15589343, -27714380, -43303715, -62357348?
-1732149*c**2 + 6*c - 20
What is the i'th term of -8377, -16649, -24921, -33193?
-8272*i - 105
What is the s'th term of 696, 734, 758, 768, 764, 746, 714?
-7*s**2 + 59*s + 644
What is the k'th term of -31667, -624
|
{
"pile_set_name": "DM Mathematics"
}
|
lect the terms in 118 + 1839764112*x + 2*x**2 - 1839764112*x.
2*x**2 + 118
Collect the terms in 5816*l + 5801*l - 11617*l - 64*l**2 + 62*l**2.
-2*l**2
Collect the terms in 1725*w**2 + 1873*w**2 - 538*w**2.
3060*w**2
Collect the terms in -10*q**2 + 353 - 1563 + 508 + 351 + 351.
-10*q**2
Collect the terms in 1482 - 4555 + 1592 - 7*n + 18*n + 1481.
11*n
Collect the terms in -15*s**3 + 26*s**3 - 27*s**3 + 2*s - 2 + 23*s**3 - 71*s**3.
-64*s**3 + 2*s - 2
Collect the terms in -22*z**2 - 8109808 + 8109808 - 47*z**2.
-69*z**2
Collect the terms in -100*g**3 - 47284*g - 146*g**3 + 47284*g.
-246*g**3
Collect the terms in -97312*y**3 + 423*y - 845*y + 422*y.
-97312*y**3
Collect the terms in -449465*r**2 - 447905*r**2 + 897376*r**2.
6*r**2
Collect the terms in 1 - 1320*l**3 - 11701*l**3 + 1441*l**3 - 3625*l**3.
-15205*l**3 + 1
Collect the terms in -1460 - 141362*h**2 + 141361*h**2 - 2*h + 1460 + 2*h.
-h**2
Collect the terms in 0*u + 28*u**2 + 3*u + 25*u**2 - 3*u + 152*u**2.
205*u**2
Collect the terms in 21*m - 20*m + 10 - 177.
m - 167
Collect the terms in -32006*z**3 - 32919*z**3 + 23278*z**3 - 4531*z**3 - 12027*z**3.
-58205*z**3
Collect the terms in -405*j**3 + 179*j**3 + 79*j**3 + 186*j**3 + 131*j**3.
170*j**3
Collect the terms in -6*z**2 + 7*z + 4*z**2 - 7*z - 586 + 6*z**2 - z.
4*z**2 - z - 586
Collect the terms in -34*x**2 + 34*x**2 + 4370*x - 4370*x - 37*x**3.
-37*x**3
Collect the terms in 49830*c**3 + 49683*c**3 - 98608*c**3.
905*c**3
Collect the terms in -143 - 7 + 146 - 5*r**3.
-5*r**3 - 4
Collect the terms in 327761*t**3 + 287588*t**3 - 154453*t**3.
460896*t**3
Collect the terms in 2183771 - 2183771 + 8863*z**3.
8863*z**3
Collect the terms in 2*m - 20*m**3 + 3 - 382*m**2 - 3.
-20*m**3 - 382*m**2 + 2*m
Collect the terms in 10010*l + 10006*l - 253 - 255 - 20019*l + 508.
-3*l
Collect the terms in -4817*y - 96 - 97 - 93 + 286.
-4817*y
Collect the terms in b + 94*b + 69*b - 7*b + b + 136*b.
294*b
Collect the terms in -276*w + 771*w**2 + 58*w**2 + 1976*w**2 + 276*w.
2805*w**2
Collect the terms in -2455*q**3 - 1124*q**3 - 2937*q**3.
-6516*q**3
Collect the terms in 2520*q**2 - 1714965*q + 1714965*q.
2520*q**2
Collect the terms in -287*v**3 - 244695 + 244695.
-287*v**3
Collect the terms in -2489 - f + 15*f**3 - 3*f + 5*f.
15*f**3 + f - 2489
Collect the terms in 10886*n**2 + 10880*n**2 - 54428*n**2 + 10861*n**2 + 10885*n**2 + 10873*n**2.
-43*n**2
Collect the terms in 646*o + 416*o**2 + 490*o**2 - 905*o**2.
o**2 + 646*o
Collect the terms in -3893*c**2 + 38*c + 680*c**2 - 38*c.
-3213*c**2
Collect the terms in 12010*c - 2 - 5 - 11925*c.
85*c - 7
Collect the terms in 270975 + 10*m**2 + 132025 - 13*m**2 + 4*m**2.
m**2 + 403000
Collect the terms in -9809*w**2 - 19709*w**2 - 226*w**2 + 3616*w**2.
-26128*w**2
Collect the terms in -116*k**2 - 5009*k**3 - 114*k**2 + 230*k**2.
-5009*k**3
Collect the terms in 32265971*h**2 + 20*h - 15*h - 32265986*h**2.
-15*h**2 + 5*h
Collect the terms in 35914963*q - 2 + 2.
35914963*q
Collect the terms in 1 - 1 + 6 - 4 + 153561*d**2.
153561*d**2 + 2
Collect the terms in 65*d**2 - 353 + 353 - 89*d + 100*d - 11*d.
65*d**2
Collect the terms in 60321*h + 60344*h - 241291*h + 60316*h + 60313*h.
3*h
Collect the terms in -748*k + 5508*k + 1920*k - 59.
6680*k - 59
Collect the terms in 18655*h**3 - 9335*h**3 + 18630*h**3 + h.
27950*h**3 + h
Collect the terms in -32 + 19413274*a + 19 + 13.
19413274*a
Collect the terms in -1382 - 14309*m**2 + 7178*m**2 + 7131*m**2 + 2*m**3 - 3*m**3.
-m**3 - 1382
Collect the terms in 1068169 + 6*g**3 - 1068169 - 43*g - 11*g.
6*g**3 - 54*g
Collect the terms in 225370 - 225370 - 179*o.
-179*o
Collect the terms in 1810698557*j - 4*j**3 - 1810698557*j.
-4*j**3
Collect the terms in -10718 + 12*o + 5370 + 5411.
12*o + 63
Collect the terms in 7327*d - 21992*d - 2 + 7326*d + 7329*d + 2.
-10*d
Collect the terms in -624*r**2 + 627*r**2 + 43052615*r**3 - 43052619*r**3.
-4*r**3 + 3*r**2
Collect the terms in -4*n**2 + 6*n**2 + 2906054083992 - 2906054083992.
2*n**2
Collect the terms in 38265*z + 18 + 38269*z - 76550*z.
-16*z + 18
Collect the terms in -2 - 3 + 5 - 1183093*g.
-1183093*g
Collect the terms in -2100 - 33*w + 35*w + 1054 + 1046.
2*w
Collect the terms in 20809*f - 20809*f + 29*f**3 + 207*f**2.
29*f**3 + 207*f**2
Collect the terms in 44621181917262 - 44621181917262 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
be ((-46)/(-69))/(1 - 6781/6783). Suppose -569 = -5*b + s. List the prime factors of b.
2, 283
Let z = 6376 - 3603. List the prime factors of z.
47, 59
Suppose 19*i - 14*i = -28880. What are the prime factors of i/(-57) + ((-6)/(-9))/(-2)?
101
Let b(n) = 3*n**2 + 66*n + 66. Let u be b(-21). Suppose -3423 = -u*x + 4*y, x - 1141 = -0*y + 5*y. What are the prime factors of x?
7, 163
Let x(z) = -192*z - 109. Let g be x(-6). List the prime factors of ((-52)/3)/(-10 - g/(-105)).
2, 5, 13
Let o = -10 + 98. Suppose -o = 6*l - 232. List the prime factors of l.
2, 3
Let d(h) = -910*h + 1070. What are the prime factors of d(-13)?
2, 3, 5, 43
Suppose -4*a = -2*f + 32, f + 4*a = -3*f + 40. Let x(g) = 56*g - 85. What are the prime factors of x(f)?
587
What are the prime factors of (-2 + -1)*35707/(-147)*21?
3, 5101
Suppose -22 = -2*z + 4*y, 4*y - 7*y = -2*z + 19. Suppose z*u - 2*u = 270. List the prime factors of (4/(-5))/((-9)/u).
2
Suppose -12 = 3*l - 3. Let o be l/4 + (-6)/(72/2319). Let c = o - -325. What are the prime factors of c?
131
Suppose -3*z + 4*y = 11, 0 = z - 5*z - y + 17. Suppose -3*j + 269 = -k, j + 249 = z*k - 4*k. Let t = -87 - k. List the prime factors of t.
167
Suppose -124474 = -27*x + 18194. List the prime factors of x.
2, 1321
Suppose 14*g - 11*g - 3*b - 20502 = 0, 2*g + b - 13674 = 0. What are the prime factors of g?
2, 1709
Let m be (-43 + 4/4)/1. Suppose 0 = s + 2, 2*o - 5*s + 0 + 36 = 0. Let k = o - m. What are the prime factors of k?
19
Let y(b) = 3*b**2 + 6*b - 34. Let k be y(-14). Suppose -6*h = 116 - k. Let w = h - 31. What are the prime factors of w?
2, 7
Let n(k) = 5 + 2*k - 8 + 1. Let a be n(-2). What are the prime factors of (33/a)/((-6)/60)?
5, 11
Suppose 7*o = n - 4346, 2*n - 995 - 7677 = 4*o. What are the prime factors of n?
2, 3, 19
Suppose 0 = 15*b - 12*b - 24. Suppose -13*m + 5*m = -b. What are the prime factors of m*(-3 + 6 - -202)?
5, 41
Let i be (-26)/(-6) + (-2)/6. Suppose i = 9*g - 7*g. Let x(q) = 13*q**3 + 2*q**2 - 5*q + 5. List the prime factors of x(g).
107
Suppose -816 = 254*w - 266*w. Let z(p) = -155*p + 3. Let l be z(-3). Suppose l = 5*q + w. What are the prime factors of q?
2, 5
What are the prime factors of 5244 + 34 + 12 + 0?
2, 5, 23
Let n(r) = -r**2 - 24*r - 132. Let x be n(-8). List the prime factors of (-510)/(-50)*(x - -139).
3, 17
Suppose 5*s = -2*a + 556, -4*a + 237 = 4*s - 215. Let h be (-7 + (-174)/(-30))*s/(-3). List the prime factors of (-110)/h*(-344)/5.
2, 43
Let d(t) = 158*t**2 - 40*t - 644. What are the prime factors of d(-18)?
2, 7, 1831
Let w(s) = -4*s**2 - 64*s - 7. Let b be w(-14). Let o = 615 + b. List the prime factors of o.
2, 3, 5
Suppose -v + 72 = 3*v. Let n = 1725 - 1619. Let l = n - v. What are the prime factors of l?
2, 11
Let c(p) = 19*p**2 - 99*p + 2600. What are the prime factors of c(25)?
2, 3, 5
Let c(z) = z**3 + 12*z**2 - 20*z + 12. Let w be c(-11). Suppose 0 = 2*x - x + 2*r - w, 0 = -3*x - 5*r + 1057. What are the prime factors of x?
349
Let r(o) = -o - 2. Suppose -11 + 3 = -2*l. Let d be r(l). What are the prime factors of (-24)/(-18) - 220/d?
2, 19
Let l be ((-70839)/204)/((-1)/(-8)). Let w = l - -4825. List the prime factors of w.
23, 89
Suppose 0 = -40*q + 304*q - 264528. What are the prime factors of q?
2, 3, 167
Suppose 0*c + 3*c - 2*x - 272 = 0, 5*c + 5*x = 495. Suppose -3*v + 0*v = 5*j - 275, c = v + 4*j. Suppose q + v = 3*q. What are the prime factors of q?
3, 5
Suppose 4*t + 2360 - 2300 = 0. List the prime factors of 26*60/(-18)*t.
2, 5, 13
Suppose 0 = -11*b + 16*b. Suppose n = 5*t - 37, -n = -b - 3. Suppose -5*p = -h - 563, 4*h - 331 = -3*p + t*h. What are the prime factors of p?
113
Let k(h) = h**2 + 5*h + 1. Let b be k(-6). Let i(l) = -l + 9. Let y be i(b). List the prime factors of (-15)/2*(y - 8).
3, 5
Suppose -5*v + 25 + 0 = 0. Suppose -4*b = 4*x - 5*x, 3*x + v*b = 51. Let j = x + 44. List the prime factors of j.
2, 7
Let z be 12344/(-16)*(-3 + 1). List the prime factors of z/3 + (-44)/132.
2, 257
Let l be 2/2 - (0 - 7). Suppose 2*p = -6 - l. Let r = p - -12. List the prime factors of r.
5
Let t(l) = l**2 + 6*l - 62. Let a be 7 + 36/(-6) - (-26 + 2). List the prime factors of t(a).
23, 31
Suppose 90*k + 22*k = 336. Suppose -3*g = -7*g + 28. Suppose k*n - 12 = 0, -3*c + 381 = g*n - 4*n. What are the prime factors of c?
3, 41
Let m(u) be the third derivative of 17*u**5/15 - 5*u**4/12 + 9*u**3 + 37*u**2. List the prime factors of m(5).
2, 3, 71
Suppose 3*o = -4*i + 1267 + 25279, -3*i = 3*o - 26553. What are the prime factors of o?
2, 43, 103
Let b(x) = -4*x**2 - 1 - 4 + 3*x**2 - 2*x - 4*x**2 - 33*x**3 + 34*x**3. Let y(k) = k**3 + 4*k**2 + 2*k + 4. Let h be y(-3). List the prime factors of b(h).
79
Suppose 0 = -4*z
|
{
"pile_set_name": "DM Mathematics"
}
|
est common factor of 216 and g?
27
Let v(h) = -h**2 + h - 62. Let z be v(0). Let b = z - -26. Let y = -20 - b. Calculate the highest common factor of 4 and y.
4
Let u be ((-3)/6)/(2/(-236)). Let p = 183 + u. Calculate the highest common divisor of 22 and p.
22
Suppose 61 = 3*u - 23. Calculate the highest common factor of 14 and u.
14
Let h be (-50)/(-8) + (-1)/4. Let n(x) = x**2 + 10*x - 1. Let l be n(-11). Let w = l - 4. Calculate the greatest common factor of h and w.
6
Suppose -2*a + 5*l = 27, 0 - 25 = 5*a - 4*l. Let c be (2/(-3))/((-1)/(-3)). Let t be (-2 - a)*c*5. What is the greatest common divisor of 10 and t?
10
Let s be 30*((-12)/(-5) - 2). Suppose 0 = 2*t - 5*c - 25, -t + 6*t + 20 = -4*c. Suppose -2*o + 73 + 119 = t. What is the greatest common divisor of s and o?
12
Suppose -r = -4*n + 23, -4*n + 6*n - 5*r = -11. Let v = 7 - 0. Suppose x - 2*x + v = 0. What is the greatest common factor of n and x?
7
Let p = 76 + -40. Calculate the highest common factor of p and 12.
12
Suppose 5*z - 1538 - 937 = 0. Suppose l + p - z = -4*l, -5*l + 495 = 2*p. Let d be (-3)/(-12) - (-86)/8. Calculate the greatest common divisor of d and l.
11
Let z = 31 + -13. Calculate the greatest common factor of 36 and z.
18
Let w be (-15 - (-2)/2)*-1. Calculate the greatest common factor of w and 126.
14
Let g be 1/(4/(-6))*-60. Let j be (2/4)/(5/g). Calculate the greatest common factor of 1 and j.
1
Suppose 2*t + 0*t = -46. Let o = 98 + t. Suppose l - 4*k = 13, -2*l - 3*k - 16 = -o. What is the highest common divisor of 10 and l?
5
Let i = 54 + -52. What is the highest common divisor of 2 and i?
2
Let v = 2 + -1. Suppose 0 = -k + 2*k. Suppose k*y + 5*y = 5. Calculate the greatest common divisor of y and v.
1
Let j be 1*4 - (-3)/(-3). Suppose -45 - j = -4*z. Calculate the highest common divisor of z and 96.
12
Let x be (-16)/(-1 + 0 + 0). Let n(d) = d - 3. Let a be n(6). Suppose 384 = -0*o + a*o. Calculate the highest common divisor of x and o.
16
Let k(v) = 6*v**3 - v**2 - 4*v - 1. Let m be k(3). Let q(f) = 4*f**2 + 19*f + 23. Let o be q(-5). Calculate the greatest common divisor of o and m.
28
Let a(u) = 4*u**2 - u + 1. Suppose -11 + 1 = 5*b. Let s be a(b). What is the highest common factor of 38 and s?
19
Let r be 6/(-18)*(-1 + -5). Suppose 0*t = r*t - 40. What is the highest common factor of 5 and t?
5
Suppose c + 10 = 2*c. Let y = -4 + c. Suppose 0 = -2*p + 4*k + 22, 4*p = -k + y + 2. What is the greatest common factor of p and 3?
3
Let f be (-110)/(-7) - 58/(-203). Calculate the highest common factor of f and 16.
16
Let p = -1568 + 780. Let n be 1/(-2) + p/(-8). Let w(b) = -7*b. Let z be w(-2). Calculate the highest common divisor of z and n.
14
Let d(f) = f**3 + 5*f**2 - 8*f - 2. Let r be d(-6). Let z be r/(-15) - 244/(-6). What is the greatest common divisor of 20 and z?
20
Let s = 0 - -9. Suppose 5*n + 17 = 2*m, -n = 3*n + 4. What is the highest common divisor of m and s?
3
Suppose -3*a = -5*d - 3, -a + 3*a - 2 = -d. Suppose -5*g = -3*w, 7*w = 5*g + 2*w. Let p be 5 - (g + 3 - 4). Calculate the greatest common factor of a and p.
1
Let m(q) = -17*q**3 - 2*q**2 - 2*q + 1. Let c = 6 - 8. Let u be m(c). Calculate the highest common factor of u and 19.
19
Suppose 11 + 18 = i - 5*f, -5*i + 119 = f. What is the highest common factor of i and 72?
24
Suppose 2 + 21 = q. Suppose 5*d + 5*v = 115, 0 = d - 0*v + 2*v - q. Calculate the highest common divisor of d and 207.
23
Suppose 6*h = 4*h + 28. What is the greatest common divisor of h and 63?
7
Suppose -m - 3*m = -240. Let z be (-3 - (-7)/3)*-39. Let g = z - 14. Calculate the highest common factor of m and g.
12
Let w be (1 + -12)/(7/(-21)). Suppose -2*y + 110 = 3*y. Calculate the greatest common divisor of w and y.
11
Let m be ((-6)/4)/((-2)/8). Calculate the highest common divisor of m and 4.
2
Suppose 13*o = 8*o + 195. Calculate the highest common factor of o and 13.
13
Let f = -9 - -39. Let x(o) = -o**3 - 10*o**2 - 10*o + 1. Let z be x(-9). Calculate the highest common factor of f and z.
10
Suppose 3*b - 4 = 152. What is the highest common factor of b and 4?
4
Let c(x) = 4 + 6*x - 9*x - 8*x. Let h be c(6). Let s be (-2)/10 + h/(-10). Calculate the highest common divisor of s and 6.
6
Suppose 0 = -4*p - 5*b + 31, 5 = 3*p - 2*b - 24. Let f = 6 - p. Let u be ((-1)/f)/(3/81). Calculate the highest common divisor of u and 63.
9
Suppose -y - 36 = -2*l, l + 2*l = y + 56. Let z(d) = -5*d**3 - 3*d**2 - d. Let h be z(-2). What is the highest common factor of l and h?
10
Let v = 6 + -3. Suppose -104 = -5*f + v*f. What is the greatest common factor of f and 13?
13
Suppose 0 = 19*k - 3*k - 272. Calculate the highest common factor of k and 187.
17
Suppose -8*l + 3*l - 10 = 0. Let a(q) = -q**3 - 2*q**2 - 1. Let v be a(l). Let t be 4/2 + v - -10. Calculate the highest common factor of 121 and t.
11
Suppose 0 = -2*u - 2*w + 572, u = 6*u + 4*w - 1432. What is the greatest common factor of 32 and u?
32
Let w = 156 + -97. Let y = w - 28. Let f = -21 + y. What is the highest common divisor of f and 20?
10
Suppose -4*p + 2*l = -2*l - 456, 0 = p - 2*l - 116. Let z be 2 + 1/(3/42). Calculate the highest common divisor of p and z.
16
Let j(c) = c**3 + 8*c**2 - c - 3. Let g be j(-8). Let w be (-15)/(0 - 1/1). What is the greatest common factor of w and g?
5
Let d = 50 + -41. Calculate the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
nded to the nearest 100?
100
Let o = -970.6934 - -971.5. Let f = o + -0.8. Round f to 3 decimal places.
0.007
Let i = -0.135 + 0.13443. Round i to four decimal places.
-0.0006
Let j(r) = 40*r**2 - 8*r + 132*r**2 + 45*r**2 - 5. Let m = -13 - -22. Let h be j(m). What is h rounded to the nearest 1000?
18000
Let g(s) = 30000*s**3 - 2*s**2 + 5*s - 2. Let j be g(2). Round j to the nearest 100000.
200000
Let r be (-43994)/8 - 4/((-48)/(-9)). Round r to the nearest 1000.
-6000
Let w = -13.7081 - -13.7. What is w rounded to three dps?
-0.008
Let t = -0.01736795285142 + 4843429.35736853285142. Let n = t + -4843430. Let u = n + 0.66. What is u rounded to 7 decimal places?
0.0000006
Let s(a) = 75*a**2 + 4*a - 5. Let f(v) = v**2 - v. Let b(d) = 5*f(d) + s(d). Let c be b(-5). Round c to the nearest 100.
2000
Suppose -2*t - 5*r = -25, -t + 25 = 2*r + 3*r. Suppose t = -3*w - v + 14700, -2*w + 14700 = w - 4*v. Round w to the nearest one thousand.
5000
Suppose 0 = -5*q + 3*q - 8. Let w(n) = 219*n + 6. Let d be w(q). Round d to the nearest 100.
-900
Let p = 0.39 + -0.82. Let h = -0.3 - p. Round h to one decimal place.
0.1
Let c = -0.00000039 + 0. Round c to 7 decimal places.
-0.0000004
Let d = 14 + -11. Let s(m) = -83332*m**2 - 3*m - 3. Let n be s(d). Round n to the nearest 100000.
-800000
Let k = -8.32 - -3.11. Let j = 0.2 + -5.9. Let s = k - j. What is s rounded to one dp?
0.5
Let r = 4 - 1. Let k = r - 5. Let i = k + 2.00001. Round i to six dps.
0.00001
Let k(l) be the second derivative of -50*l**4 + l. Let w be k(-3). What is w rounded to the nearest 1000?
-5000
Let x = -4.2 - -4.2007. What is x rounded to 3 decimal places?
0.001
Let y = -1.3039977 - -1.261. Let l = -0.043 - y. What is l rounded to six decimal places?
-0.000002
Let u(v) be the third derivative of -7625*v**4/24 + 3*v**2. Let b be u(-8). What is b rounded to the nearest 10000?
60000
Let p be (-35)/(-11) + (-12)/66. Suppose -3*d + 6*d = p, -4*c = 2*d + 1448990. Let n = c - 1737752. Round n to the nearest one million.
-2000000
Suppose 0 = -4*c + 5*c - 2*d + 1057826, -5*c - 2*d - 5289166 = 0. Let x = -557832 - c. What is x rounded to the nearest one million?
1000000
Let n = 89.99939 - 90. Round n to 4 decimal places.
-0.0006
Let g(x) be the second derivative of x**5/20 + x**4/12 - 320000*x**2 - 2*x. Let l be g(0). What is l rounded to the nearest one hundred thousand?
-600000
Suppose -3*t + 2*t + 3 = 0, 2 = -n + t. Let v(m) = -1199*m**2 - 1. Let l be v(n). What is l rounded to the nearest one thousand?
-1000
Suppose 4*y + 204 = 8*y. Suppose -b = -5*m - 276, -2*b + 6*b = -m - y. Round m to the nearest 10.
-60
Let q = -27.7 - -27.70000167. Round q to seven dps.
0.0000017
Let d = -0.07 - 54.93. Let t = 55.000197 + d. Round t to five dps.
0.0002
Let h = 0.139 + -0.23. Round h to 2 dps.
-0.09
Suppose 0*c = 5*r - 2*c + 917012, -2*r - c - 366812 = 0. Let p be r/14 - 4/(-14). Round p to the nearest one thousand.
-13000
Let b = 42 - 41.9999898. What is b rounded to six dps?
0.00001
Let b(p) = -5*p**2 - 3*p - 2. Let o be b(-1). What is o rounded to zero dps?
-4
Let d(g) = 44250*g**2 - g - 2. Let v be d(2). Suppose -4*q + v = -3*n, 2*n - 4*q + q = -117997. What is n rounded to the nearest ten thousand?
-60000
Let p = 0.2 + -0.3. Let c = -0.09 - p. Let i = 0.026 - c. Round i to 2 decimal places.
0.02
Let d = -1.46 - -0.06. Let b = 1.40052 + d. What is b rounded to four decimal places?
0.0005
Let f(n) = 958*n + 28. Let q be f(4). Round q to the nearest one hundred.
3900
Let y = 12.000035 + -12. What is y rounded to 5 dps?
0.00004
Suppose k = -4, -4*k - 16 = 5*y - 5*k. Let o be (-740)/15*6/y. Round o to the nearest ten.
70
Suppose u - 3*u - 6 = -3*k, 5*k + 9 = -3*u. Suppose -1091 = -4*s + 4*v - 235, v - 5 = k. Let i = s - 439. What is i rounded to the nearest 100?
-200
Let z = 17 + -16.9933. Round z to three decimal places.
0.007
Let t(u) = -19*u + 14. Let g be t(-14). What is g rounded to the nearest one hundred?
300
Let c = -3000668.00009 + 3000683. Let l = c + -15. Round l to four decimal places.
-0.0001
Let t = -53 + 168. Let l = t - 124.1. What is l rounded to 0 decimal places?
-9
Let u be (-30)/(-9) + (-2)/(-3). Suppose 0 = u*g - 6*g. Suppose -o - 3*o - 62400000 = g. What is o rounded to the nearest one million?
-16000000
Let c = -1999881.2700011 + 1999865.27. Let z = c + 16. What is z rounded to 7 dps?
-0.0000011
Let k = 189537007 - 189536886.999943. Let m = -119.92 - 0.08. Let o = m + k. What is o rounded to 5 decimal places?
0.00006
Let q(b) = -2858*b**2 - 6*b. Let z be q(-7). What is z rounded to the nearest ten thousand?
-140000
Let m be (7 - 107)/((-2)/(-172)). What is m rounded to the nearest 1000?
-9000
Let f = -0.4647 - -0.46. Round f to three dps.
-0.005
Let v = -15.83 - -15.93128. Let w = v + -0.1. What is w rounded to 4 decimal places?
0.0013
Let x = 5.7 + -5.69999914. Round x to 6 dps.
0.000001
Suppose 3*v = 4*v - 110000. What is v rounded to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
*z + 16 = 4*n, n - 2*n = 5*z + 8 for z.
-2
Let i(b) = -b - 10. Let v be i(-13). Let r = 3 + v. Suppose 0 = g + 1 - r. Solve 0 = k - 3*u - 18, 5*k - u - g = -3*u for k.
3
Let l(i) = -i**2 - i + 2. Let t be l(0). Suppose 14*c = 9 - 9. Suppose c*z = z - t. Solve 11 = -o - 5*h, 2*h = -3*o + z + 4 for o.
4
Suppose 4*q + 91 = 83. Let s(o) = o**2 - 4*o - 7. Let u be s(q). Solve p - u = 4*z - 14, 0 = 5*z + p - 9 for z.
2
Suppose -2*t + 12 = 2*t. Let b be -3 + ((-19)/(-57) - (-69)/9). Solve -t*v - v = -l + 16, -b*v - 13 = -3*l for v.
-5
Suppose -w + i + 21 = 4*i, -i - 43 = -3*w. Let c be ((-24)/(-20))/((-1)/w). Let g = -13 - c. Solve 3*u = g*x - 8 - 9, x = -2*u + 6 for x.
4
Let w(x) = -x**2 - 4*x - 6. Let i be w(-5). Let f be (-2)/i + 14/(-77). Solve f = 3*g, 0*h - h + 2*g + 2 = 0 for h.
2
Suppose 0 = 15*a - 8*a. Suppose -t = 5*z + 3 - 10, -4*z - 4*t - 4 = a. Solve 0 = o - 5*k - 1, -z*o + 3*k - 1 = -3 for o.
1
Suppose n + 49 = 26. Let b be (-1 - -10)/1*3. Let r = n + b. Solve -r*t - 25 = -5*u, 4*u = 2*t - 0*u + 20 for t.
0
Let a be (-550)/(-45) - 2/9. Let z be (-4)/(16/a) + 4. Suppose z = -s + 3. Solve s*m + 4*n = -2, 2*m - 2 = -3*n + n for m.
3
Let t be -2 - (1 - 2)*-5. Let x(k) = -2*k - 11. Let c be x(t). Solve 4*i - 3 = c*d - 13, d = 3*i + 5 for i.
-1
Let q = -5 + 13. Let m = 9 - q. Let d = -1 + m. Solve -3*a = -4*l + 1, d = 5*l - l + 3*a + 17 for l.
-2
Let o(s) = s**3 - 5*s**2 + 6*s - 5. Let p be o(5). Suppose 0 = 5*i - 35 - 0. Solve 5*f + 4*b = -16, 2*b = -5*f + i*b - p for f.
-4
Suppose 2*g - 31 = 5*k, 5*g + 4*k + 4 = -1. Suppose 2*r - 4*r - r = 0. Solve r = -5*w, 0 = g*a - 4*w + 1 - 7 for a.
2
Let t be 12/4*-3*(-2)/9. Let b = -101 - -105. Solve -b*o = -3*n - t, 4*n + 4*o = -o + 18 for n.
2
Suppose 5*u = -162 + 452. Suppose -u - 92 = -5*p. Let f be 3/((p/4)/5). Solve 5*i = m - 5*m + 22, f*m - i = 4 for m.
3
Let d(a) be the second derivative of a**4/6 - 13*a**3/3 + 3*a**2/2 + 54*a. Let h be d(13). Solve -5*g + h = 4*p, -3*g + 12 = p + 2*g for p.
-3
Suppose 0 = 2*f - 14 + 4. Let x = 11 + 2. Solve 4*p = -f*z + x, -4*p - 2 = 3*z - 5 for p.
-3
Suppose 0 = j + 5*p - 1, 0*p = 3*j - p - 3. Let a be ((-2)/(-4) + 5)*2*j. Solve 4*i - 9 - a = 0, -2*s + 4*i - 24 = 0 for s.
-2
Let r = 219 + -214. Solve -2*j - 6 = -r*j + 5*x, 0 = 4*j + 2*x - 8 for j.
2
Suppose -3*m + f + 11 = 3, 0 = m - 6*f + 3. Solve 4*q - 3*u - 19 = 0, -4*u + 9 + m = 4*q for q.
4
Suppose -2 = -2*q - z - 0, 0 = 5*z - 20. Let x be ((-14)/(-35))/(q/(-10)). Suppose -x*h - 71 + 179 = 0. Solve -h = -7*u + 2*u - 3*y, u = -3*y + 15 for u.
3
Let q be -3*21/18*-2. Suppose u - 20 = q. Solve -3*f + 8*f + u = 2*x, 3*f = 2*x - 17 for f.
-5
Suppose 7*q + 1705 - 1740 = 0. Solve -3 = -x, 0 = 4*h - q*x + 4 + 3 for h.
2
Let d be 3/(-3)*(-12)/((-96)/(-40)). Suppose 11 + 1 = 3*a. Solve a + 1 = s - 4*y, -10 = -d*s + 5*y for s.
1
Let b(h) = 26*h + 6. Let x be b(-2). Let j = 49 + x. Solve 3*r + j*v = -9, 0 = 5*r + v + 3*v + 15 for r.
-3
Let z = 1140 + -1135. Solve -2*t + t - 3*v = -1, -4*v = -z*t - 33 for t.
-5
Let w = -11 + 13. Suppose -q + w*q = -10. Let b be ((-12)/(-30))/((-2)/q). Solve 10 + b = 3*s, 3*v + 24 = 3*s for v.
-4
Let y be (309 + -4)/5 + -1. Suppose 2*c - 30 = 2*o, 2*c - 2*o + y = 6*c. Solve -5*w + 6*p - 10 = 3*p, -4*w = -p + c for w.
-5
Let j = 53 - 49. Suppose q + 3 = 2*q. Suppose 26 = j*h + y, -3*h + 6*h - q*y = 12. Solve -3*f + h = -5*a, 0 = 2*a - 6*a - f + 2 for a.
0
Suppose -3*q - 84 = z - 4*z, 4*z - q - 106 = 0. Let h(v) = -9*v + 3. Let i be h(-2). Let a = z - i. Solve 0*g - a*j + 25 = 5*g, -4*j + 16 = 0 for g.
1
Suppose -o + 101 = 92. Solve 9 = -3*l - 4*v, -l - 4*v = -o + 20 for l.
1
Suppose -2*a + 28 = 2. Suppose 0 = -5*u - 2*f + 3, -4*f + 7 + 11 = -2*u. Let i be u + 0 + (8 - 3). Solve 4*j - 13 = -5*h, -h - a = -i*h - 5*j for h.
1
Let a(m) = -40*m - 149. Let y be a(-4). Solve -4*h - 5*c + y = -2*c, 5*h - c = -10 for h.
-1
Suppose -7 = -m + 5*t, -8 = -5*m + 2*m + 2*t. Let k be 6 + (-2 - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
'th term of -15, -52, -113, -198, -307, -440?
-12*v**2 - v - 2
What is the m'th term of -9, -59, -147, -273, -437, -639?
-19*m**2 + 7*m + 3
What is the h'th term of 8, 31, 80, 161, 280, 443?
h**3 + 7*h**2 - 5*h + 5
What is the m'th term of -29, -61, -107, -179, -289?
-2*m**3 + 5*m**2 - 33*m + 1
What is the n'th term of 261, 261, 269, 291, 333, 401, 501?
n**3 - 2*n**2 - n + 263
What is the l'th term of -11, -9, 13, 67, 165, 319, 541?
2*l**3 - 2*l**2 - 6*l - 5
What is the t'th term of 315, 282, 219, 120, -21, -210?
-t**3 - 9*t**2 + t + 324
What is the p'th term of 47, 49, 53, 59, 67, 77, 89?
p**2 - p + 47
What is the l'th term of 140, 1090, 3660, 8660, 16900, 29190, 46340, 69160?
135*l**3 + 5*l
What is the y'th term of 0, -30, -70, -126, -204?
-y**3 + y**2 - 26*y + 26
What is the u'th term of -44, -102, -188, -314, -492?
-2*u**3 - 2*u**2 - 38*u - 2
What is the z'th term of -50, -179, -372, -611, -878, -1155, -1424, -1667?
3*z**3 - 50*z**2 - 3
What is the f'th term of -418, -1664, -3734, -6622, -10322, -14828, -20134?
f**3 - 418*f**2 + f - 2
What is the i'th term of -62, -210, -588, -1310, -2490, -4242, -6680, -9918?
-19*i**3 - i**2 - 12*i - 30
What is the t'th term of -2479, -2480, -2481?
-t - 2478
What is the t'th term of 416, 416, 414, 410, 404?
-t**2 + 3*t + 414
What is the g'th term of -13, -3, 33, 107, 231, 417, 677, 1023?
2*g**3 + g**2 - 7*g - 9
What is the g'th term of 81, 164, 247, 330?
83*g - 2
What is the n'th term of -22, -23, -32, -55, -98, -167?
-n**3 + 2*n**2 - 23
What is the s'th term of -7, 9, 25, 41, 57?
16*s - 23
What is the i'th term of 175, 355, 535, 715?
180*i - 5
What is the b'th term of -48, -105, -168, -237, -312, -393?
-3*b**2 - 48*b + 3
What is the s'th term of -1564, -3115, -4666, -6217?
-1551*s - 13
What is the y'th term of -3, -39, -99, -183, -291, -423?
-12*y**2 + 9
What is the c'th term of -271, -544, -817, -1090, -1363?
-273*c + 2
What is the p'th term of -7583, -15169, -22757, -30347?
-p**2 - 7583*p + 1
What is the n'th term of -35, -87, -155, -245, -363, -515?
-n**3 - 2*n**2 - 39*n + 7
What is the x'th term of -3, -11, -7, 21, 85, 197?
2*x**3 - 6*x**2 - 4*x + 5
What is the i'th term of 24, 28, 30, 30?
-i**2 + 7*i + 18
What is the u'th term of 5, 10, 25, 56, 109?
u**3 - u**2 + u + 4
What is the w'th term of -21, -17, -9, 3, 19, 39, 63?
2*w**2 - 2*w - 21
What is the p'th term of -53, -39, -23, -5?
p**2 + 11*p - 65
What is the h'th term of -16, -59, -102?
-43*h + 27
What is the r'th term of -88, -50, 0, 68, 160?
r**3 + 31*r - 120
What is the q'th term of 288, 287, 294, 315, 356?
q**3 - 2*q**2 - 2*q + 291
What is the n'th term of 13580, 13581, 13582, 13583, 13584, 13585?
n + 13579
What is the o'th term of 14, 16, 18, 20, 22, 24?
2*o + 12
What is the q'th term of 59, 134, 231, 362, 539, 774?
2*q**3 - q**2 + 64*q - 6
What is the h'th term of -30, -169, -538, -1251, -2422, -4165, -6594, -9823?
-19*h**3 - h**2 - 3*h - 7
What is the h'th term of 71, 112, 141, 152, 139, 96?
-h**3 + 48*h + 24
What is the f'th term of 9, 1, -3, -3, 1, 9?
2*f**2 - 14*f + 21
What is the t'th term of -150, -186, -234, -300, -390, -510?
-t**3 - 29*t - 120
What is the x'th term of -26, -53, -80, -107?
-27*x + 1
What is the z'th term of -402, -815, -1228, -1641, -2054, -2467?
-413*z + 11
What is the x'th term of -39632, -39626, -39616, -39602?
2*x**2 - 39634
What is the l'th term of 69, 77, 87, 99, 113, 129, 147?
l**2 + 5*l + 63
What is the z'th term of 55, 44, 43, 58, 95, 160, 259, 398?
z**3 - z**2 - 15*z + 70
What is the w'th term of 162, 325, 488?
163*w - 1
What is the r'th term of 9, 30, 65, 120, 201, 314, 465?
r**3 + r**2 + 11*r - 4
What is the s'th term of 10, 57, 178, 409, 786, 1345?
6*s**3 + s**2 + 2*s + 1
What is the q'th term of -17, -48, -97, -164, -249, -352?
-9*q**2 - 4*q - 4
What is the i'th term of 25, 18, 13, 10?
i**2 - 10*i + 34
What is the v'th term of 22252, 44514, 66788, 89080, 111396, 133742?
v**3 + 22255*v - 4
What is the b'th term of 27, 70, 113?
43*b - 16
What is the a'th term of 58, 179, 408, 799, 1406, 2283, 3484, 5063?
9*a**3 + 58*a - 9
What is the u'th term of 39, 50, 61, 72, 83, 94?
11*u + 28
What is the d'th term of -129, -127, -123, -117?
d**2 - d - 129
What is the j'th term of -101, -205, -
|
{
"pile_set_name": "DM Mathematics"
}
|
et a(j) = 17*j**2. Determine n(a(b)).
2890*b**4
Let l(h) = -30*h. Let f be ((-16)/(-6) - 2)*3. Let p(x) = f*x - 141 + 287 - 146. What is p(l(u))?
-60*u
Let g(b) = -37*b**2. Let p(j) = -4*j**2 + 5*j + 5. Let a(n) = 9*n**2 - 12*n - 12. Let c(q) = 5*a(q) + 12*p(q). Determine g(c(l)).
-333*l**4
Let l(b) = 3*b - 3*b + 2*b**2 - 4*b**2. Let y(h) be the third derivative of 10*h**4/3 + 47*h**2. Determine l(y(w)).
-12800*w**2
Let t(a) = -29*a**2 - 34157*a + 1. Let l(f) = -f**2. Give t(l(i)).
-29*i**4 + 34157*i**2 + 1
Let q(l) = 0*l + 0*l - 2195*l**2 - 2052*l**2 + 3831*l**2. Let c(t) = -2*t. Determine q(c(n)).
-1664*n**2
Let m(h) = 9*h**2. Suppose 7*k = 2*k + 2*b + 289, -5*b = 4*k - 218. Let u(f) = 116*f - 57*f - k*f. Give m(u(p)).
36*p**2
Let p(m) = 2471*m. Let j(h) = -2*h. Give p(j(d)).
-4942*d
Let q(w) = -w. Let g(k) = 120*k**2 - k + 153. Calculate q(g(x)).
-120*x**2 + x - 153
Let c(s) = 7*s. Let d(k) = -11*k**2. Let f(x) be the second derivative of -35*x**4/2 - x. Let r(l) = -77*d(l) + 4*f(l). Calculate r(c(z)).
343*z**2
Let p(u) = 3655*u**2 - 85. Let w(y) = -174*y**2 + 4. Let f(z) = 4*p(z) + 85*w(z). Let o(x) = x. Calculate f(o(d)).
-170*d**2
Let n(y) be the second derivative of y**7/1260 + 29*y**4/12 - 17*y. Let i(z) be the third derivative of n(z). Let j(s) = -21*s. What is i(j(a))?
882*a**2
Let n(h) = 2*h. Let g(r) be the first derivative of -82*r**3 + 92. Calculate g(n(y)).
-984*y**2
Let c(b) = 0*b**2 - 3*b**2 - 4468 + 4468. Let i(s) = -26*s**2. What is i(c(u))?
-234*u**4
Let p(m) = 12229*m. Let b(x) = -43*x**2. Calculate b(p(y)).
-6430582963*y**2
Let t(g) be the third derivative of 7*g**4/24 + g**2. Let q(j) be the first derivative of -j**3/3 - 645. Determine t(q(u)).
-7*u**2
Let u(c) be the first derivative of 14 + c**2 + 15 - 5 + 6. Let f(j) = 4*j - 5. Let m(a) = a - 1. Let w(d) = -f(d) + 5*m(d). Determine u(w(l)).
2*l
Let m(f) = 7*f**2. Let i(b) be the second derivative of -b**5/10 + 19*b**2/2 - 22*b + 1. Let q(j) be the first derivative of i(j). Give q(m(c)).
-294*c**4
Let w(v) = -3*v + 36. Let t(h) = -30*h + 351. Let o(z) = 4*t(z) - 39*w(z). Let a(r) = -r - 1. Let b(k) = -3. Let n(g) = 3*a(g) - b(g). Determine n(o(x)).
9*x
Let g(d) = -3*d**2. Let p(q) = 2*q**2 - 5. Let a(b) = -4*b**2 + 9. Let s(u) = 3*a(u) + 7*p(u). Let l(x) be the first derivative of s(x). What is l(g(r))?
-12*r**2
Let i(v) be the second derivative of -v**4/12 + 2*v. Let k(t) = -428*t**2 - 362*t**2 + 854*t**2. Calculate k(i(w)).
64*w**4
Let j(o) = 407*o. Let k(x) = -10*x**2 - 4*x + 12. Let g(y) = -2*y**2 - y + 3. Let d(w) = 4*g(w) - k(w). Calculate j(d(m)).
814*m**2
Let u(x) = x**2. Let m(k) = 12726*k. Give m(u(t)).
12726*t**2
Let r(i) = -i. Let o(k) be the second derivative of k**4/12 - 13*k**3/6 - 75*k. Calculate o(r(s)).
s**2 + 13*s
Let j(v) = v. Let w(g) = -25*g**2 - 4*g - 15. Let x(p) = -12*p**2 - 2*p - 9. Let k(o) = 3*w(o) - 5*x(o). Calculate j(k(z)).
-15*z**2 - 2*z
Let d(x) = 6. Let b(k) = -k - 3. Let z(h) = 2*b(h) + d(h). Let j(a) = 7*a + 6. Let w(u) = -20*u - 17. Let q(i) = -17*j(i) - 6*w(i). Determine z(q(l)).
-2*l
Let u(h) = 316837*h. Let r(x) = -4*x**2. Determine r(u(p)).
-401542738276*p**2
Let q(t) = 2*t + 19. Let s(o) be the third derivative of 7*o**5/30 - 441*o**2. What is s(q(r))?
56*r**2 + 1064*r + 5054
Let a(g) = -2*g**2 - 4291. Let z(d) = 22*d. What is z(a(r))?
-44*r**2 - 94402
Let x(m) = 13*m. Let i(w) = 27*w. Let r(q) = 4*i(q) - 9*x(q). Let a(p) = -p + 3. Calculate a(r(u)).
9*u + 3
Let v(o) = 3*o**2. Let x(n) = n + 2. Let t be x(0). Let w(f) = 7 + 3*f**2 - 7 + f**t. Calculate v(w(a)).
48*a**4
Let r(m) = -40*m - 10454. Let g(f) = f**2. Calculate r(g(y)).
-40*y**2 - 10454
Let p(v) be the third derivative of -v**4/4 - 87*v**2. Suppose 4*r + 18 = 3*o, -2*o - 3*o - 4*r = 2. Let u(m) = -2*m + o*m + 2*m. Give u(p(x)).
-12*x
|
{
"pile_set_name": "DM Mathematics"
}
|
3*o - 6*p for o.
-3
Solve -32*z + 9*m + 409 = -30, -35 = -3*z + 2*m + 5 for z.
14
Solve -16*s + 30 = k + 19, 3*s + 5*k - 4*k = -2 for s.
1
Solve 21*a = 16*a + 4*a - 2*c - 28, 0 = -5*a - 0*c - 6*c - 76 for a.
4
Solve -59 = -3*v - 5*f, 0 = -283*v + 284*v + 16*f - 228 + 65 for v.
3
Solve -4*o - 459 + 419 = 6*t + o, 2*o + 0 = 8 for t.
-10
Solve -68 = 8*v - 4*q, -2*v + 278*q - 542*q = -260*q - 38 for v.
-3
Solve -k + 1683049*d - 1683050*d = -3, 5*d = 4*k - 12 for k.
3
Solve -4*o + 19 + 2 + 9 = -2*a + 4, 3*o = -6*a - 18 for o.
4
Solve -12 + 14 + 2 = 2*x - 21*p, -2*x = -5*p - 4 for x.
2
Solve 0 = -r + 8, 493*h + 4*r = 492*h + 29 for h.
-3
Solve 3*j - 1440 + 1457 = 2*p, 4*j + 20 = 0 for p.
1
Solve -32 = -2*m + 4*k, 3*m - 1481 + 1513 = -2*k for m.
-4
Solve 3*i + 4 = 4*g, 149302*g - 149297*g - 6 = 4*i for g.
-2
Solve -5*x - 99 = 3*k, -k + 2*x = -44 - 0 for k.
2
Solve -3*p + 13*y = 10*y, 4*p - 22*y + 6*y = -6*y - 30 for p.
5
Solve -5*h = k + 40, -4*h - 636*k = -635*k + 36 for h.
-4
Solve -3*o - 2*o - 13 + 3 = 0, -3*p + 0 = 14*o - 41*o - 21 for p.
-11
Solve -4*l + 26 - 6 = -6*r - 14, 0 = -56*l + 31*l + 3*r + 178 for l.
7
Solve -b - 8*j + j + 9 = -6*j - 2, 17*b - 5*j - 143 = 0 for b.
9
Solve 13 = 4*k - 24*g + 25*g + 2 - 5, k + 5*g - 23 = 0 for k.
3
Solve -5*g - 7*c - 17 - 3 = 40, -4*g = -20*c - 80 for g.
-5
Solve -3803*j + 6*q - 14 = -3805*j, -5*q = -20 for j.
-5
Solve h - 5*l + 160 = 2*h + 135, 2*l = -43*h + 10 for h.
0
Solve -394*o + 391*o = -3*f + 63, 147 = 10*f - 3*f + 10*o for f.
21
Solve 4*l - 8*l + 41 = 2*r - 9*l, 5*l = -6*r + 143 for r.
23
Solve -267*g = -2*k - 262*g + 21, -35 = 5*k + 5*g for k.
-2
Solve 9 = 3*m - 0*m + 2*m - 2*m + 9*f - 60, 0 = 3*m - 4*f + 9 for m.
5
Solve 6*i - b - 290 = 0, -1813*b - 230 = 8*i - 13*i - 1818*b for i.
48
Solve 0 = -2*s - 50 + 38, 3*i + 14 = 6*i + s + s - 10 + 3 for i.
11
Solve 97*h + 286 = -7*a + 93*h, -a = -0*a - 4*h + 50 for a.
-42
Solve 7908 - 7881 = 5*f - 3*o, -9 = 4*f + o for f.
0
Solve 5*b + 587*k = 211*k + 1464, -3*k + 3 = -3*b - 29 - 4 for b.
-8
Solve 110 = -188*d + 192*d + 14*q, 15 = -3*d + 17*q + 125 for d.
31
Solve -g + 3*x + 13339 - 13330 = 0, 3*g - 100 = -3*g - 5*x for g.
15
Solve g - 5*s - s - 18 = -0*s - 3*s - s, -109*s = 3*g + 636 for g.
6
Solve 2*r + 4*s = -2*r, -173*r + 83*r = -97*r - 5*s + 4 for r.
2
Solve 13989*o + 15470 = 13984*o - 77*v - 105*v, 4*v = 5*o - 340 for o.
0
Solve v + 2*d = 63, 29*d - 666 = -10*v + 27*d for v.
67
Solve -13*h - 53 = 25*h - 114 - 53, 3*h = -5*p + 14 for p.
1
Solve -4498*h - 4484*h + 8975*h = -14, -d = -h - 3 for d.
5
Solve -2*i = -4*k - 30, k - 47 + 19 + 28 = -2*i for i.
3
Solve -11516 = 2*k - 8*l - 5635 - 5771, 4*k - 74 = -5*l - 0*l for k.
1
Solve -25 = 4*c - i, 0 = -6*c + 5*i - 2159911 + 2159786 for c.
0
Solve -2*f - 7*f + 8*f - 55 = 8*f + 2*h, -5*f - 5 = -4*h for f.
-5
Solve -14*b - 773*n = -770*n - 28, 2*b - 5*n = 4 for b.
2
Solve 552 = 4*s + 38*v, -108 = -2*s - 20*v + 13*v for s.
5
Solve 0 = 5*b + 5*i - 130, -b - 28*i = -3*i - 530 for b.
5
Solve 7*z = 2*y - 3, 2*z + 7154*y + 13 = 7157*y for z.
1
Solve -195011*h + 26 = 29*x - 195007*h, -3*h = -3*x + 30 for x.
2
Solve 2*p - 3*m + 5*m = -3*m + 44 + 26, 162 = 5*p + 6*m for p.
30
Solve 3*s + 23 - 27 = -19, -2*u + 2*s = 234 for u.
-122
Solve 9 = -3*w, -218*v + 216*v - 6*w + 2 = 0 for v.
10
Solve 0 = 14*l + 280, w - 123*l - 45 = -121*l for w.
5
Solve 4*v - 171*r + 85*r - 24 = -88*r, 0 = 33*v + 2*r - 285 for v.
9
Solve -b = -2*o - 69, 2*b - 83 = -6*o - 36 + 71 for b.
65
Solve -w + 121842 - 121896 = -4*f, -5*w = 5*f - 55 for f.
13
Solve 7*m - 13*s + 31*s + 96 = 19*s, -m + s - 12 = 0 for m.
-14
Solve 631 = -f + 2*b - 17*b + 192, -106 = 12*f + b + b for f.
-4
Solve 485*n + 1281 = 2*m - 1372 + 725, 5*n - 10 = 5*m for m.
-6
Solve 9*v + 50 = 5*x, -3*x
|
{
"pile_set_name": "DM Mathematics"
}
|
ify ((sqrt(286) + sqrt(286) + (sqrt(286)*2 - sqrt(286) - sqrt(286)))/sqrt(11)*-3)/((sqrt(144)*1)/sqrt(2)).
-sqrt(13)
Simplify (-3*(-1 + sqrt(700) + -3*(sqrt(700) + 1) + sqrt(700))*3)**2.
6480*sqrt(7) + 57996
Simplify 4*(sqrt(2299) + 1) + (sqrt(2299) + 1 + 4)**2 + -4.
154*sqrt(19) + 2324
Simplify (5 + 4 + sqrt(80))**2 + 3 + 3*(3 + sqrt(80)*-5)**2.
-288*sqrt(5) + 6191
Simplify -3 + (sqrt(360)/(sqrt(90)/sqrt(10)))/(sqrt(968)*-4).
-3 - sqrt(5)/44
Simplify 5*((sqrt(5) + -2)**2 + sqrt(5) + 1 - sqrt(35)/(sqrt(7)*-2)).
-25*sqrt(5)/2 + 50
Simplify (((5*sqrt(165)*-1 - sqrt(165)) + sqrt(165))/sqrt(3))/(sqrt(60)/(2*sqrt(24)/sqrt(2))).
-10*sqrt(11)
Simplify 5*-1*(((-3 + -2*sqrt(931) - sqrt(931)) + sqrt(931))**2 - -4*(sqrt(931) - 2*sqrt(931)))*1.
-18665 - 280*sqrt(19)
Simplify (-5*(-1*sqrt(1000) - sqrt(1000)))/(sqrt(80)/((sqrt(20)*-3)/sqrt(2))).
-150*sqrt(5)
Simplify 2*(((sqrt(156) - (-3*sqrt(156) - sqrt(156)) - sqrt(156) - sqrt(156)) + sqrt(156))*4)/(-2*sqrt(108)).
-16*sqrt(13)/3
Simplify (-3*sqrt(98) + -4 - (sqrt(98) - (1 + sqrt(98)*-3)))**2.
294*sqrt(2) + 4811
Simplify 1*(((sqrt(448) - (-1 + sqrt(448))*-1 - sqrt(448)) + -2)**2 - -2*(sqrt(448) + -1*sqrt(448) + sqrt(448))*6).
48*sqrt(7) + 457
Simplify (sqrt(95)*-2*-3 + sqrt(95))/(5*(sqrt(5) + sqrt(55)/sqrt(11))).
7*sqrt(19)/10
Simplify ((-3*sqrt(234)*-1)/sqrt(6))/(sqrt(12)/(-2*sqrt(4))*2).
-3*sqrt(13)
Simplify 3*(2 + 5*-2*sqrt(288)*-6)**2.
8640*sqrt(2) + 3110412
Simplify ((1*sqrt(68)*-3)/(sqrt(4) + ((sqrt(40)*1)/sqrt(10) - sqrt(4))))**2.
153
Simplify (sqrt(325) + 2*sqrt(325) + sqrt(325))**2 + (sqrt(117) - sqrt(117)*-2)/sqrt(9) + (-1*sqrt(325)*-6 - sqrt(325))**2.
3*sqrt(13) + 13325
Simplify (1*-1*sqrt(2299) + 0 - (3 + (sqrt(19) - (1 + sqrt(19))) + 0)*2)**2.
88*sqrt(19) + 2315
Simplify 3 + (-6*(sqrt(19) + 0)*-2)**2 - ((6*sqrt(114)*2)/(sqrt(24)/sqrt(4)*-5 + sqrt(6)))**2.
2568
Simplify -4 + -1 + (sqrt(275) - (sqrt(275) + -1))**2 - -6*(-4 + (-1 + -2*sqrt(11))**2).
24*sqrt(11) + 242
Simplify -5 + (sqrt(114)*-1*1 + sqrt(114))/sqrt(6) + -6*(6*sqrt(76) + sqrt(19) + sqrt(19)).
-84*sqrt(19) - 5
Simplify (((sqrt(84) - (sqrt(84) + -1*sqrt(84)*-6)) + sqrt(84))*4)/(6*sqrt(12)*-2*-6).
-5*sqrt(7)/18
Simplify -5*(((2 + sqrt(200))**2 - (2*sqrt(2)*1)**2) + (sqrt(98) + sqrt(98)*-2 - (0 + sqrt(2) + 1))).
-975 - 160*sqrt(2)
Simplify (-5 + ((2*sqrt(242) + -1 - sqrt(242)) + sqrt(242) + (sqrt(242) + 0)*4)*-3)**2.
792*sqrt(2) + 78412
Simplify (((sqrt(1216) + -2)*1 - sqrt(1216))**2 + sqrt(1216) + sqrt(1216) + ((sqrt(1216) + 1)*4)**2)*-6.
-116856 - 1632*sqrt(19)
Simplify 4 + (sqrt(2) + (sqrt(2) - sqrt(18)*-5))**2*-1 + (-2 + 6*(sqrt(72) + 0 - sqrt(72)))**2.
-570
Simplify (sqrt(162)/(sqrt(6) - (sqrt(6) + -1*sqrt(294))))/(sqrt(432)/sqrt(3) + sqrt(1089) + sqrt(1089)*-1).
sqrt(3)/28
Simplify (-2 + ((2*sqrt(153) + sqrt(153))*5 + sqrt(153) + sqrt(153))**2)*-6.
-265290
Simplify 4*((((sqrt(170)*-1 + sqrt(170) + sqrt(170))*1 - sqrt(170)) + sqrt(170) + sqrt(170))/(sqrt(270)/sqrt(3)))**2.
272/9
Simplify ((sqrt(45)*1 - (5 + -2*sqrt(5)) - (0 + sqrt(125) + -2)) + 3)**2.
0
Simplify ((sqrt(350) + sqrt(350) + -4*sqrt(350))/sqrt(10) - sqrt(35))/(1*(sqrt(7) - sqrt(448))).
3*sqrt(5)/7
Simplify -1*(sqrt(44)/sqrt(4)*-1 - (3*sqrt(275) + sqrt(11)))**2*-3.
9537
Simplify -1*sqrt(99)*3 + 2*sqrt(275) + -1.
-1 + sqrt(11)
Simplify ((-2 + sqrt(17))*-2*-3 + (2 + sqrt(68)/sqrt(4))*-6)**2.
576
Simplify (2*(sqrt(68)*-4 + -1 + 2*(0 + sqrt(68))) + -3)**2.
80*sqrt(17) + 1113
Simplify (4*(-2 + sqrt(847))*-5)**2 + 2 + 5 + 2.
-17600*sqrt(7) + 340409
Simplify ((sqrt(208) - -6*(0 + sqrt(208)))*6 + 3)**2*-1.
-366921 - 1008*sqrt(13)
Simplify ((sqrt(91) - -1*(-3*sqrt(91) - sqrt(91))) + sqrt(91) + sqrt(91) + sqrt(91))/(sqrt(63)/sqrt(9)*-1 - sqrt(7))*1.
0
Simplify 0 + sqrt(17) + -2 + (sqrt(136)*-1)/sqrt(8) + (sqrt(51)/sqrt(3) + 3 - sqrt(17))*6.
16
Simplify ((5*sqrt(70)*1 - (sqrt(70) + 1*sqrt(70) + sqrt(70))*2)/(((sqrt(110) - sqrt(110)*2)*2)/sqrt(11)))**2.
7/4
Simplify (-5*sqrt(78)*-4 - sqrt(78))/((sqrt(6) - sqrt(6)*-3)*-4).
-19*sqrt(13)/16
Simplify ((1*sqrt(1872) + sqrt(1872) - sqrt(1872)) + 1 + 3 + 3)**2.
168*sqrt(13) + 1921
Simplify (4*(-2 + sqrt(20)) - ((sqrt(10)/sqrt(2))**2 + -4)*-5) + -4.
-7 + 8*sqrt(5)
Simplify 2 + sqrt(48) + sqrt(3) + 5 + 3 + -1*sqrt(3)*2 + -2.
3*sqrt(3) + 8
Simplify (-5*((sqrt(5040)*-2 - sqrt(5040)) + sqrt(35) + ((-6*sqrt(140)/sqrt(4) - sqrt(35) - sqrt(35)) + sqrt(35) - sqrt(35)))/(sqrt(63)/(sqrt(81)*-1)))**2.
2080125
Simplify (sqrt(416)/((sqrt(8) - sqrt(648)*5) + sqrt(8)))/(-6
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest to -2/9 in 5, -104, -7/4, 0?
0
What is the nearest to -1 in 0, 0.07345, -7, -0.01, 0.1?
-0.01
What is the closest to 1 in -496, -6.22, -0.4, -2/21?
-2/21
Which is the closest to 199? (a) 5 (b) 10 (c) 4/7 (d) 0.2
b
Which is the closest to 1? (a) -259 (b) -228 (c) -15/26
c
Which is the nearest to -0.1? (a) 2074 (b) -10 (c) -8/7
c
What is the closest to -16 in 2, 3/2, 0.1, 0.97, 2/961?
2/961
Which is the closest to -1/1176? (a) -10 (b) -5 (c) -0.1 (d) -0.4 (e) 2
c
What is the closest to 3 in -2, 139, 3, 309, -1/10?
3
Which is the nearest to 118? (a) -34 (b) -5 (c) -593 (d) 1/10 (e) 7
e
Which is the closest to 2297645? (a) 5/3 (b) 0.5 (c) -2 (d) 1/3
a
What is the nearest to 1/2 in -12, -3/38, -0.38, -0.07, -0.2?
-0.07
What is the closest to 472 in -0.025, -0.4, -2/13, -2, 5?
5
What is the closest to 2428 in -4, 1/2, -1, 36?
36
What is the closest to -0.2 in 0.13, 35, -10626?
0.13
What is the closest to 0.46 in 6/25, 1/4, 0.2, 4/5?
1/4
Which is the nearest to 1? (a) 0.5 (b) 98/9 (c) 3 (d) -3/35 (e) -16 (f) 2/5
a
Which is the closest to 0? (a) -106 (b) 0 (c) -0.3 (d) 12/5 (e) -2 (f) -1014
b
What is the closest to -2 in 2/11, 1037.5, -2/13, 4/9?
-2/13
What is the nearest to -6 in 2/199, -4, 0, 95, 47?
-4
Which is the nearest to 99.3? (a) -1 (b) -0.4 (c) 6 (d) 25 (e) 3 (f) 3/2
d
Which is the closest to -1/2? (a) 32 (b) -0.4 (c) 106 (d) 1/2
b
Which is the closest to -0.04? (a) 0.1 (b) -869 (c) -0.5 (d) -2/49
d
Which is the nearest to -1/2? (a) -2/5 (b) -1/11 (c) 0.4 (d) 53885
a
What is the nearest to -2/3 in 0.1, 4, -5, 8930034, -1/6?
-1/6
What is the nearest to 1/3 in 0.2, 17, 0.786, 3, 2, 2/15?
0.2
What is the nearest to 228 in 55, -0.4, 16, -3/7, 5, -1/3?
55
Which is the closest to 0.1? (a) -146.7 (b) 1/11 (c) -2 (d) 442 (e) -0.2
b
What is the closest to -1/4 in -4/7, 449, 3964?
-4/7
Which is the closest to -3295905? (a) 4 (b) 0.2 (c) -1
c
Which is the nearest to -45.2? (a) -188 (b) -0.3 (c) -2/5
c
What is the nearest to -0.06 in -247, -4, -0.4, 1/1180, -1/3?
1/1180
Which is the closest to 59? (a) 29 (b) -7 (c) -0.23 (d) -0.4
a
What is the nearest to 0 in 4, 2, 0.014, -0.0397, 126?
0.014
Which is the closest to 4? (a) -5 (b) -8/31 (c) 9 (d) 24
b
What is the closest to 5 in 0, 0.13, -4, 8087, -1?
0.13
What is the nearest to -53688 in 1/4, 5, 0.3?
1/4
Which is the closest to -1/2? (a) -2 (b) 15 (c) -4 (d) -19517 (e) -2/5
e
What is the closest to 0.05 in -116, 5565, 0.5, -2?
0.5
What is the closest to -11 in -9, -12, -3/7, 3/436, -6/11?
-12
What is the closest to 15 in -6/151, 2/9, 24/71?
24/71
What is the nearest to -0.2 in -24, 4.1, 1/3, 0.8, 3/8?
1/3
What is the closest to -6 in -5/3, 6664/11, -1/4, 0.1, 0.025?
-5/3
Which is the nearest to -530.5? (a) -0.3 (b) 40 (c) 0.2 (d) -2
d
What is the nearest to -31629 in -2/279, -0.4, -5?
-5
What is the closest to 503 in 330, -0.1, -1/2, 1.8?
330
Which is the nearest to 14/68395? (a) -2/15 (b) -5 (c) 0.5 (d) -1/9
d
Which is the closest to -0.03? (a) -11 (b) -0.5 (c) -2/165 (d) 0.1
c
Which is the closest to 2/7? (a) 1 (b) -18 (c) -5 (d) -96 (e) 1.3
a
Which is the nearest to 68.4? (a) 2/13 (b) 3637 (c) 17/3
c
What is the nearest to -1562261 in 0.1, 5/2, 0.2, 7?
0.1
What is the nearest to -0.26 in -5/2, -2, -2/7, -3, -0.1084, 0.1?
-2/7
Which is the closest to -1/2? (a) 4/3 (b) 48274 (c) -0.8
c
What is the nearest to 23 in 9, -2/1565, 1/3, -1/5?
9
What is the nearest to -2/3 in -0.2, -1, 3/4, 4/5, 6?
-1
What is the closest to 0.2 in -13, -1.4, -2/5, -4/17, -5?
-4/17
Which is the nearest to -1? (a) -28 (b) 1006 (c) 3
c
Which is the nearest to -29/11? (a) 2316 (b) -1 (c) -0.41
b
What is the closest to -0.1 in -4, -3, -40/19, -20, 0.5?
0.5
Which is the nearest to -347? (a) -33 (b) -5 (c) 5/4 (d) 0 (e) 2/5
a
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) -7 (c) -0.2 (d) -41
a
Which is the closest to -2? (a) -653.3 (b) -1 (c) -0.1 (d) -27
b
Which is the closest to -1/4? (a) 0.3 (b) 0 (c) 5 (d) 0.25 (e) 29
b
Which is the closest to -3? (a) -0.3 (b) -28 (c) 2/5 (d) 113 (e) -5
e
Which is the closest to 1? (a) 1/2 (b) 1/16 (c) 0.8 (d) -0.2
c
Which is the nearest to 522? (a) 0.04 (b) -2 (c) 3
c
Which is the nearest to 1/50? (a) -3/2 (b) 3/2 (c) 22
b
Which is the nearest to -2/53? (a) -1/11 (b) -4/5 (c) 21 (d) -0.13 (e) 0.1
a
What is the nearest to 1 in 3/7, 1/49, 4, 1/8, 0?
3/7
What is the nearest to 155 in 0.35, 0.1, 5, -4?
5
What is the nearest to 0 in 21, -4, 5/3, -502?
5/3
Which is the closest to -1? (a) 0.4 (b) 1 (c) -1/2 (d) 4/131
c
What is the nearest to -1 in -4/7, 1, -2/11, 2034?
-4/7
What is the closest to 4 in -2/9, 9/4, 10?
9/4
Which is the closest to -0.4? (a) -2 (b) -2/75 (c) 4/5 (d) 3
b
What is the closest to -1645 in 0, -18.4, -2?
-18.4
Which is the nearest to -11? (a) -2/11 (b) -0.5 (c) 2/53 (d) 94
b
What is the closest to -1 in -3/11, -4, 958/5?
-3/11
Which is the nearest to -0.1? (a) 2/13 (b) 2 (c) 0.105 (d) 0.11
c
What is the closest to -1/4 in -1/5, -2/5, -2/3, 1836?
-1/5
Which is the nearest to -0.1? (a) 83 (b) 0.08 (c) 2/9 (d) -20
b
What is the nearest to -2/13 in 3/7, 0.3, -0.1, -1.5, 1/4?
-0.1
What is the nearest to -0.18 in -4/7, -2/5, -3.3?
-2/5
Which is the closest to -45? (a) -1.8 (b) 0 (c) -0.08
a
Which is the nearest to -0.1? (a) -8 (b) 0.087 (c) -0.1 (d) 2.8
c
What is the closest to -4/19 in -0.1, 2, 2/5, 0.009?
-0.1
What is the nearest to 2/3 in -2/11, 39446, -5?
-2/11
Which is the closest to -1? (a) 1/2 (b) -17.6 (c) -0.1 (d) -7/9 (e) 0.02
d
Which is the nearest to 0.2? (a) -202 (b) 3 (c) 0.1 (d) -0.04 (e) -0.5
c
Which is the closest to -2/3? (a) 5 (b) -1 (c) 490 (d) -9/4
b
Which is the closest to 1? (a) 2/13 (b) -2/61 (c) 54.4
a
What is the closest to -0.1 in -2, 1/2, 46.65?
1/2
What is the nearest to 2/7 in -3.178, -5, -1/2, 2?
-1/2
What is the closest to 1 in -24258, -1, -4?
-1
Which is the closest to 1/5? (a) -1/8 (b) 15 (c) -4.354
a
What is the nearest to -919 in -0.5, -15/23, 6/5?
-15/23
Which is the nearest to 1/5? (a) -4/9 (b) 1/22 (c) -1 (d) -4 (e) 2/19
e
What is the closest to 34 in 0.5, -16, 10, -2, -1/2?
10
Which is the nearest to -2/5? (a) -2/15 (b) 855 (c) 5
a
What is the closest to 2 in 7/4, 3, 1/26, 11?
7/4
What is the closest to -1 in -0.291, 0.01, -1, -0.1?
-1
What is the nearest to -2/3 in -10, -0.0146, 0.4, -18?
-0.0146
Which is the nearest to 2? (a) -1/4 (b) 2 (c) 5.2 (d) -0.2 (e) -4
b
Which is the nearest to -0.1? (a) 3 (b) -2/5 (c) 4/7 (d) -3.2833 (e) -3
b
What is the nearest to 0.3 in -0.16, 0.4, -21, -48, -5?
0.4
Which is the closest to 14/11? (a) 14 (b) 2/21 (c) -178
b
What is the nearest to 50 in -3/2, 2/27, -0.3, -1/3?
2/27
What is the nearest to -0.1 in 14064, 0.2, 12?
0.2
What is the nearest to 28 in 5, -0.1, 4, -3?
5
What is the nearest to -1 in 1254.1, -5, -1?
-1
What is the closest to 1/82 in -0.3, -2.7, -5?
-0.3
Which is the closest to -0.43? (a) -1397 (b) -2 (c) -0.1
c
Which is the closest to -3/2? (a) 7.1 (b) -3 (c) -0.4
c
What is the closest to 3 in -1, 2, 10, -1/7?
2
Which is the nearest to 410? (a) -3 (b) 0.4 (c) 0.2 (d) 2/7 (e) 3
e
What is the closest to -15 in 96/19, -0.5, 2/5?
-0.5
What is the nearest to -2 in 117, -29, -1/6?
-1/6
Which is the closest to -0.2? (a) -4 (b) -0.05 (c) -2 (d) -36
b
Which is the nearest to 4? (a) 3.1 (b) 2 (c) -0.11 (d) 21/8 (e) 1
a
Which is the closest to -0.1? (a) 382 (b) 3/7 (c) 2/5 (d) 3
c
What is the nearest to 1/4 in 27, -176, -2/9, -3?
-2/9
What is the nearest to 1 in 0.3, 3, 1203, -9/5?
0.3
Which is the nearest to -2/5? (a) 1 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
mmmm?
1
Calculate prob of sequence jvzz when four letters picked without replacement from zzzjvvvjvjjzjzj.
4/273
Four letters picked without replacement from {a: 1, c: 1, i: 2, v: 1}. What is prob of sequence ivci?
1/60
Two letters picked without replacement from {j: 3, b: 4, d: 2}. Give prob of sequence jj.
1/12
What is prob of sequence xb when two letters picked without replacement from ppkckbbkxpv?
1/55
What is prob of sequence krr when three letters picked without replacement from pkrprukkrurk?
2/55
What is prob of sequence illm when four letters picked without replacement from {m: 1, l: 2, i: 1, j: 3}?
1/420
Calculate prob of sequence jqu when three letters picked without replacement from nujunonjnnnuqn.
1/364
Calculate prob of sequence ipi when three letters picked without replacement from {g: 2, p: 1, w: 1, i: 2}.
1/60
Four letters picked without replacement from {f: 2, n: 16}. What is prob of sequence nnff?
1/153
Two letters picked without replacement from bkkkbwbbbyswkwv. What is prob of sequence yk?
2/105
Three letters picked without replacement from {o: 4, g: 2, r: 7, x: 1, c: 2}. Give prob of sequence ggx.
1/1680
Calculate prob of sequence gutt when four letters picked without replacement from gggztgguugzgtzuuggzt.
3/1615
Three letters picked without replacement from vlhqflhz. Give prob of sequence hfq.
1/168
Three letters picked without replacement from {p: 1, c: 2, g: 1}. Give prob of sequence pcc.
1/12
Three letters picked without replacement from zzzizzziz. Give prob of sequence zzi.
1/6
What is prob of sequence yua when three letters picked without replacement from {r: 4, a: 2, y: 1, b: 1, u: 2}?
1/180
Four letters picked without replacement from {j: 3, s: 1, l: 1, e: 3, k: 2, a: 1}. Give prob of sequence aske.
1/1320
What is prob of sequence yrry when four letters picked without replacement from {r: 4, y: 2}?
1/15
Three letters picked without replacement from {h: 1, l: 2, o: 3, n: 1, q: 3}. What is prob of sequence hqo?
1/80
What is prob of sequence fuw when three letters picked without replacement from cuwwujfcjjfwwwf?
1/91
What is prob of sequence qpp when three letters picked without replacement from {q: 10, p: 9}?
40/323
What is prob of sequence tl when two letters picked without replacement from autcl?
1/20
Two letters picked without replacement from cyqyqo. Give prob of sequence qq.
1/15
Three letters picked without replacement from pnpnppppppppp. What is prob of sequence ppn?
5/39
Calculate prob of sequence pdt when three letters picked without replacement from {p: 1, t: 1, d: 7}.
1/72
Calculate prob of sequence vbvv when four letters picked without replacement from {v: 3, b: 2}.
1/10
Two letters picked without replacement from {g: 1, v: 2, n: 2}. Give prob of sequence gv.
1/10
What is prob of sequence sj when two letters picked without replacement from gmggmgenjsmng?
1/156
What is prob of sequence dedd when four letters picked without replacement from {e: 5, d: 11}?
165/1456
Three letters picked without replacement from kcmcckccmmmccc. What is prob of sequence ccc?
2/13
Calculate prob of sequence yn when two letters picked without replacement from {y: 3, e: 1, h: 3, n: 3}.
1/10
What is prob of sequence mpmt when four letters picked without replacement from {m: 4, t: 2, o: 1, p: 3}?
1/70
Two letters picked without replacement from {d: 4, f: 8, x: 4, i: 4}. What is prob of sequence ii?
3/95
Calculate prob of sequence dx when two letters picked without replacement from yduuuxxuyuduudx.
3/70
Calculate prob of sequence aa when two letters picked without replacement from {c: 3, a: 15}.
35/51
Four letters picked without replacement from {l: 7, x: 4, z: 4}. Give prob of sequence zllz.
1/65
Two letters picked without replacement from {t: 2, q: 2, s: 3, r: 6, b: 2, i: 2}. What is prob of sequence rt?
3/68
Calculate prob of sequence mmm when three letters picked without replacement from cmmcmcmmcc.
1/12
Two letters picked without replacement from ixsbxjts. What is prob of sequence sb?
1/28
Two letters picked without replacement from fpfvfffgvvfvf. Give prob of sequence ff.
7/26
Calculate prob of sequence iici when four letters picked without replacement from {f: 2, c: 5, i: 9, e: 3}.
35/1292
What is prob of sequence zg when two letters picked without replacement from {z: 1, g: 14}?
1/15
Calculate prob of sequence ek when two letters picked without replacement from {g: 3, x: 1, k: 3, e: 7}.
3/26
Calculate prob of sequence zoz when three letters picked without replacement from ozz.
1/3
Three letters picked without replacement from asass. Give prob of sequence saa.
1/10
Calculate prob of sequence tttt when four letters picked without replacement from ttttttttt.
1
Calculate prob of sequence eci when three letters picked without replacement from {c: 1, i: 1, e: 1}.
1/6
What is prob of sequence bb when two letters picked without replacement from {j: 3, v: 6, b: 1, n: 1, f: 3, e: 4}?
0
Calculate prob of sequence qqzj when four letters picked without replacement from {z: 2, q: 2, j: 4, p: 1}.
1/189
What is prob of sequence aahh when four letters picked without replacement from ahahuhuu?
1/140
Three letters picked without replacement from pppaapa. Give prob of sequence aap.
4/35
Three letters picked without replacement from {f: 3, s: 6, e: 2, t: 2, k: 3}. Give prob of sequence tss.
1/56
Calculate prob of sequence dfd when three letters picked without replacement from hfdddhfzdtdfzzddqf.
7/204
What is prob of sequence qusv when four letters picked without replacement from {v: 1, q: 3, u: 2, z: 1, s: 3}?
1/280
What is prob of sequence uu when two letters picked without replacement from {v: 2, b: 2, u: 5}?
5/18
What is prob of sequence bxky when four letters picked without replacement from ylkclbyxxkklck?
2/3003
Two letters picked without replacement from {c: 4, j: 7, s: 3, h: 4, e: 1}. What is prob of sequence ss?
1/57
What is prob of sequence wttd when four letters picked without replacement from wtktwwdfzzfk?
1/1980
What is prob of sequence nn when two letters picked without replacement from njjvjjpjjjjjnj?
1/91
Two letters picked without replacement from {x: 3, j: 2}. What is prob of sequence jx?
3/10
Three letters picked without replacement from zksszqzrrqarzrz. Give prob of sequence qra.
4/1365
What is prob of sequence zkqk when four letters picked without replacement from {z: 1, k: 2, c: 3, g: 1, q: 3}?
1/840
Calculate prob of sequence riio when four letters picked without replacement from {i: 4, r: 3, o: 9}.
27/3640
Four letters picked without replacement from {a: 9, t: 3}. Give prob of sequence ataa.
7/55
Three letters picked without replacement from guiigiiiug. Give prob of sequence gii.
1/12
Two letters picked without replacement from {o: 2, f: 4, y: 8, g: 5}. What is prob of sequence gy?
20/171
Two letters picked without replacement from k
|
{
"pile_set_name": "DM Mathematics"
}
|
give a.
-2
Express 18 + 33*m**3 - 14*m**3 - 20*m**3 in the form z + c*m**3 + b*m + p*m**2 and give z.
18
Rearrange (-9 + 9 - 16*j)*(6 + 2 - 2) to y + a*j and give a.
-96
Rearrange d**2 + 3*d - 3*d - 5*d - 3 - d**2 + 3 + (-2*d - 2*d + 3*d)*(-3*d - 2*d + 7*d) to z*d**2 + j*d + c and give j.
-5
Rearrange 436*m**2 + 2*m - 2*m - 400*m**2 to i*m + a*m**2 + l and give a.
36
Express -12*s - 4*s - 9*s + 0*s as y*s + z and give y.
-25
Express -3*j + 9*j + 11*j + 10*j as n + y*j and give y.
27
Express -k - 2*k + 6*k - 5*k + 19 as m + a*k and give a.
-2
Express 73*x**4 - x**2 - 2 - x**2 - 76*x**4 + 4*x in the form y*x**2 + s + d*x**4 + t*x**3 + v*x and give y.
-2
Rearrange -41*k - 13*k**2 + 35*k**2 - 13*k**2 - 8*k**2 to s*k**2 + g + u*k and give u.
-41
Express -5*w**4 + 0 + 0 + (-4*w + 4*w - w**2)*(9*w - 3*w + 2*w)*(3 - 3 + w) as p*w + a*w**2 + x*w**3 + c*w**4 + u and give c.
-13
Express (-4*l + l + 0*l)*(0*l + 11*l + l) in the form v + p*l**2 + s*l and give p.
-36
Rearrange 42*b**2 - 17*b**2 + 31*b**2 to the form j + q*b + s*b**2 and give s.
56
Express -2*h**3 - 3*h**2 + 3*h**2 + (-17 + 2 - 6)*(-h**3 - h**3 + 0*h**3) in the form b*h**2 + f + v*h**3 + o*h and give v.
40
Express 1 + 0 - 2*k + 0*k + (0 - 1 + 2)*(k - k - 3*k) - 4*k + 2*k + 0*k in the form y + b*k and give y.
1
Express -15 + 4*q - 16 + 16 in the form b*q + u and give b.
4
Rearrange (0*m + 0*m - 2*m)*(2 - 2 - 2) - m - 2*m + 5*m - m + m - 4*m to the form i*m + a and give i.
2
Rearrange -9*z**2 + 0*z**3 + 3*z**2 - 4*z**3 - 3*z**3 to the form p*z**3 + u*z**2 + f*z + y and give p.
-7
Rearrange ((0 + 0 + 3)*(-2 + 2 - 2) + 1 + 1 - 1)*(-5*r**3 + 78*r**2 - 78*r**2) to the form w*r**3 + v*r + u*r**2 + z and give w.
25
Rearrange 16*q**2 + 16 - 28 + 12 to the form d*q**2 + p*q + t and give d.
16
Express h**4 + 1 - 1 + (-2*h**2 + 3*h**2 + h**2)*(h**2 + h**2 - 4*h**2) + 6*h**4 + 12*h**4 - 7*h**4 as k*h + u + b*h**2 + p*h**3 + s*h**4 and give s.
8
Express 2*p**2 - p**2 + 6*p**2 + (-5 + 3 - 2*p + 1)*(4 - 4 + 2*p) in the form l*p**2 + r*p + h and give l.
3
Express 2*x - 8*x - 2*x + 0*x**3 + x**3 in the form t*x + k*x**2 + d*x**3 + o and give d.
1
Rearrange -b + b - 9*b to the form a + u*b and give u.
-9
Rearrange 0 - 1 - 3*q**3 + 2*q**3 + 13*q**2 to the form z*q**3 + n*q + t*q**2 + o and give z.
-1
Express 3*j + 3*j - 2*j in the form z + v*j and give v.
4
Rearrange 2*d**3 + 0*d**3 - 85*d**2 + 67*d**2 to v*d**2 + o*d**3 + r*d + f and give o.
2
Rearrange -9 + 2*h + 4*h + 3 to the form c*h + z and give z.
-6
Rearrange 3*x**3 - 3*x**3 - 2*x**3 + (-2*x**2 - x**2 + 2*x**2)*(-3*x + 5*x + 3*x) to j + k*x**3 + u*x**2 + w*x and give k.
-7
Rearrange 18 + 9 - 44 + 18 + 4*c + c**2 + 3*c**3 to d*c + l + i*c**3 + w*c**2 and give d.
4
Rearrange r**4 - 4*r**3 + 85*r + 7*r**3 - 86*r + 1 - 2*r**2 to v*r**2 + g*r + p*r**3 + a*r**4 + m and give m.
1
Express 2*k**2 - 4 + 12 - 8 - 2 as x + f*k**2 + n*k and give x.
-2
Express (1 - 1 + 2*n**2 + 2*n)*(6*n + n + 4*n) as a*n**3 + f*n + w + u*n**2 and give u.
22
Express 7*m**2 + 2*m**4 - 3*m - 3*m + 2*m + 2*m in the form f*m**3 + y + i*m**2 + k*m**4 + v*m and give i.
7
Express (2 - 4 + 0)*(10*d - 89 + 42 + 46) in the form m*d + v and give m.
-20
Rearrange -2*r**4 - 63 + 6*r**3 + 62 + 0*r**4 + 3*r**2 to j + u*r**2 + w*r**3 + b*r + a*r**4 and give w.
6
Rearrange y + 15 - 2*y**3 + 4*y**3 + 19 - 32 to m + f*y**3 + c*y**2 + q*y and give q.
1
Rearrange 7*i - 20*i + 15*i + 17 to z + b*i and give b.
2
Rearrange (-1242 + f**2 + 9*f + 1242)*(4 - 4 + 2 + 5 - 1 - 2 + (2 - 3 + 0)*(-4 + 3 - 1) + 0 + 2 - 3 - 3 - 4 + 5) to q + l*f + c*f**2 and give l.
27
Express -j + j + 2*j**2 + (-30*j - 87*j + 7*j)*(-3*j + 4*j - 3*j) as m*j + o*j**2 + h and give o.
222
Express 4*h + 9*h + 0*h in the form v + j*h and give j.
13
Express -3*b - 2*b**2 + 3*b + (b - 4*b + 4*b)*(4 - 4 + 3*b) - 2*b**2 - 5*b**2 - 13*b**2 in the form t*b + i + r*b**2 and give t.
0
Rearrange (4 - 4 - 2*u)*(-2*u + 1 - 1) - 7*u**2 + 2 - 1 + 0*u**2 to
|
{
"pile_set_name": "DM Mathematics"
}
|
-6*l(y) - 14*x(y).
2*y**3 - 10
Let f(m) = -13091*m**3 + 477*m**2 - 477*m. Let q(h) = 55*h**3 - 2*h**2 + 2*h. Determine -2*f(c) - 477*q(c).
-53*c**3
Let v(i) = 86*i**2 + i + 10. Let n(k) = 17*k**2 + 2. Calculate -11*n(c) + 2*v(c).
-15*c**2 + 2*c - 2
Let q(r) = 60*r**2 - 9*r + 9. Let f(u) = 15*u**2 - 2*u + 2. Determine 9*f(k) - 2*q(k).
15*k**2
Let r be (-28)/15 + -4*3/90. Let j(x) = -x - 1. Let y(v) = -6*v - 3. Let c(u) = 3*j(u) - y(u). Let b(l) = l + 0*l + 9*l. Give r*b(w) + 7*c(w).
w
Let s(r) = r**2 - r - 1. Let t(g) = -16*g**2 + 5*g + 5. Calculate 10*s(j) + 2*t(j).
-22*j**2
Let l(g) = 9*g**2 - 10*g + 3. Let c(x) = -4*x**2 + 5*x - 1. Calculate -7*c(o) - 3*l(o).
o**2 - 5*o - 2
Let s(v) = -v**2 + 8*v. Let z be s(9). Let r(o) = o**2 + 3*o + 1. Let a(w) = -2*w + 2. Let k be a(2). Let x(f) = -4*f**2 - 13*f - 5. Give k*x(g) + z*r(g).
-g**2 - g + 1
Let i(q) be the second derivative of q**3/6 - 3*q**2/2 + 14*q. Let l(t) = t - 1. Determine 2*i(n) - 4*l(n).
-2*n - 2
Let q(r) = -r - 1. Let p(o) = -15*o - 6. Determine p(i) - 6*q(i).
-9*i
Let y(f) = -4*f**3 + 3*f + 2. Let c(m) = 5*m**3 - 2*m - 1. Let p(g) = 3*c(g) + 4*y(g). Let d(q) = -2*q**3 + 11*q + 9. Calculate -6*d(t) + 11*p(t).
t**3 + 1
Let z(x) = -7*x**3 + 6*x**2 - 6*x + 6. Let m(b) = 8*b**3 - 7*b**2 + 7*b - 7. Calculate -6*m(a) - 7*z(a).
a**3
Let g(y) = -3*y**3 - 3*y**2 - 3. Let x(a) = -6*a**3 - 5*a**2 - 5. Suppose -4*h + 36 - 16 = 0. Give h*g(b) - 3*x(b).
3*b**3
Let l(p) = 1. Let j(s) = s + 3. Calculate 2*j(m) - 10*l(m).
2*m - 4
Let w(q) = -3*q + 5. Let o = 29 - 17. Suppose 5*z + 24 = v, -v - 5*z - o = -z. Let s(y) = -2*y + 4. Calculate v*s(x) - 3*w(x).
x + 1
Let c(k) = 3*k + 1. Let y(s) = -1. Calculate -c(j) + y(j).
-3*j - 2
Let q(n) = -1457*n**2 + 217*n - 217. Let t(j) = -27*j**2 + 4*j - 4. What is -4*q(w) + 217*t(w)?
-31*w**2
Let r(b) = b - 1. Let t(x) = -6*x + 3. Let s = -74 - -72. Determine s*t(g) - 6*r(g).
6*g
Let l(u) = -5*u - 4. Let p(i) = -i - 1. Give 2*l(g) - 11*p(g).
g + 3
Let g(t) = 1 + 5*t + 1 - t - 2*t. Let k be g(2). Let d(v) = v - k*v + v. Let n(y) = -5*y. Give -4*d(b) + 3*n(b).
b
Let j(q) = 6*q**3 - 14*q - 5. Let i(l) = -3*l**3 + 7*l + 3. What is 5*i(t) + 3*j(t)?
3*t**3 - 7*t
Let s(y) = -5*y**2 + 8*y + 8. Suppose 0*r + 8 = -4*r + 4*f, -3*f = -5*r - 2. Let x be 32/(-20)*(r - -3). Let w(p) = -2*p**2 + 3*p + 3. What is x*w(l) + 3*s(l)?
l**2
Let k(u) = -u - 3. Let b(o) = -o - 1. Determine -2*b(d) + k(d).
d - 1
Let p(d) = d**3 - 1. Let r be p(0). Let o(x) = x + 0 + 1 + 0. Let z(w) = -2*w - 1. Give r*z(l) - o(l).
l
Let y(x) = 5*x + 5. Let q(m) = 10*m + 11. What is 6*q(b) - 11*y(b)?
5*b + 11
Suppose -5*g + 0*b = 3*b + 3, 2*g + 4 = -4*b. Let f(o) = 12*o + g + 1 - 3*o. Let i(n) = -5*n - 1. What is -3*f(c) - 5*i(c)?
-2*c + 2
Let x(o) = -o**3 + 3*o**2 + 5*o. Let m(b) = -13*b**2 + 7*b - 11. Let c(i) = 7*i**2 - 4*i + 6. Let r(a) = 11*c(a) + 6*m(a). Determine 5*r(z) + 2*x(z).
-2*z**3 + z**2
Let t(a) = 7*a**3 + 5*a**2 + 13*a. Let z(f) = -3*f**3 - 2*f**2 - 6*f. Suppose 3*s + 9 + 43 = 5*p, s + 3*p - 6 = 0. Give s*z(k) - 4*t(k).
-k**3 - 2*k**2 + 2*k
Let r(p) = p**3 - 6*p**2 + 5*p + 6. Let l be r(5). Let q(g) = -3*g**2 + 4*g - 6. Let b(k) = 4*k**2 - 5*k + 7. Determine l*q(v) + 5*b(v).
2*v**2 - v - 1
Let j(r) = 2*r + 18. Let g(c) = -1. Determine 5*g(h) + j(h).
2*h + 13
Let o(j) = -6*j + 1. Let t be o(1). Let v(u) = 9*u**2 + 21*u - 21. Let p(h) = -2*h**2 - 5*h + 5. Calculate t*v(z) - 21*p(z).
-3*z**2
Let p(x) = -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
t ten.
-150
Suppose -18*o + 16*o = -1964000. Round o to the nearest one hundred thousand.
1000000
Let k = -35.63 + 36. Round k to one decimal place.
0.4
Suppose 23 = -5*z + 3. Let a be (218/z)/(2/(-4)). Suppose -5*s - a = 331. What is s rounded to the nearest 10?
-90
Let r(p) be the first derivative of 7110*p**3 - 5*p**2/2 + 2*p - 3. Let j be r(3). Let m = j - 100957. Round m to the nearest ten thousand.
90000
Let r = -0.48 + -3.72. Let q = 4.20000071 + r. What is q rounded to seven dps?
0.0000007
Let l = -3 - -3.04. Let w = l + -0.13. Let s = 0.01 - w. What is s rounded to 0 decimal places?
0
Let n = 517 - 566.7. What is n rounded to 0 decimal places?
-50
Let h = -83.725 + -2100415.275. Let y = h + 2100547.00084. Let u = 48 - y. What is u rounded to 4 decimal places?
-0.0008
Suppose 8*j = 3*j + 3*l + 21, 0 = -5*j + 2*l + 24. Suppose 0 = -t - 4*g - 32, j - 34 = 2*t - g. Let n be 1400/t*(559 - -1). Round n to the nearest 10000.
-50000
Suppose -n = -0*n + 4*l - 12, 0 = 3*n + 3*l - 9. Suppose 5*m + 0*m = n. Let i(c) = -c + 1600. Let t be i(m). Round t to the nearest one thousand.
2000
Let v(f) = 20 - f - 193*f**2 + 12*f - 4*f**2 - 24. Let r be v(-8). What is r rounded to the nearest 1000?
-13000
Let a = 0.136 + 0.006. Round a to two decimal places.
0.14
Let d(m) = 150718*m + 52. Let h be d(-14). Round h to the nearest 100000.
-2100000
Let h = -72.1008 + 72. Let l = -0.04 - 0.06. Let a = h - l. What is a rounded to three dps?
-0.001
Let v(j) = 398*j**2 + 12*j - 10. Let z be v(5). Round z to the nearest 100000.
0
Let m = 4.659 - 0.059. Let s = 5.29 - m. What is s rounded to one dp?
0.7
Let y = -0.766469 - -0.115739. Let c = -0.65 - y. What is c rounded to four decimal places?
0.0007
Suppose -20*s - 37800 = -17*s. Round s to the nearest 1000.
-13000
Let l = 1.23 + -27.73. What is l rounded to the nearest integer?
-27
Let x = 65 - 21.3. Let t = x + -38. Round t to the nearest integer.
6
Let w = -13.25 - -0.25. Let x = -13.000041 - w. What is x rounded to 5 dps?
-0.00004
Let l = 4290534.34786 + 0.65214. Let a = 4290537.0000004 - l. Let u = 2 - a. Round u to seven dps.
-0.0000004
Let k(h) = -6224*h - 6. Let g be k(-10). Let u be 3*-43*21223 - -1. Let z = u - g. What is z rounded to the nearest one million?
-3000000
Let q = 0.01 - 0.0099972. What is q rounded to 6 decimal places?
0.000003
Let f = 0.38 - 0.27. Let r = -0.11023 + f. Round r to 4 dps.
-0.0002
Suppose 3*g = 5*g. Suppose -9*c + 8*c + 56000 = g. Round c to the nearest ten thousand.
60000
Let q = 33.58 - 36. Let n = q - -2.42000097. Round n to seven decimal places.
0.000001
Let d = 11 + -7. Let p(i) = -831251*i**2 + 5*i - 4. Let g be p(d). What is g rounded to the nearest 1000000?
-13000000
Let k = 2.099983 + -2.1. What is k rounded to 5 decimal places?
-0.00002
Suppose -5*p + 14 = 4. Suppose 0 = -3*g + 5*d + 24300020, 2*d - 5847587 - 10352405 = -p*g. Round g to the nearest one million.
8000000
Let g(u) = 208*u**2 - 13*u - 1. Let y be g(7). Round y to the nearest ten thousand.
10000
Let n be 88000/(((-3 + 7)/(-300))/(-2)). Round n to the nearest one million.
13000000
Let l be (-38516)/6 + 3/9. Let y(o) = -15819*o**3. Let n be y(-1). Let x = n + l. Round x to the nearest 1000.
9000
Suppose -5*u = -0*u - 3150. What is u rounded to the nearest 100?
600
Let o be -3 + 2 + -2 + 3. Suppose 4*j - 33 + 9 = o. Suppose -j*r + 3*r = 174000. What is r rounded to the nearest ten thousand?
-60000
Let r(c) = c - 4*c**3 + 0*c**3 + 5*c**2 + 3*c**3 - 7. Let j be r(5). Let k be -3 + 3 + (-130)/j. Round k to the nearest 10.
70
Let u = -5679723.0000095 - -5679719. Let y = -3.8 + -0.2. Let x = u - y. What is x rounded to six decimal places?
-0.00001
Let g = -114.999943 - -115. What is g rounded to five decimal places?
0.00006
Let y = 162 + 561. Let g = y + -742.57. Let s = g + 20.6. What is s rounded to 1 dp?
1
Let l = 17.65 + -18. Let s = l - -0.349923. What is s rounded to 5 dps?
-0.00008
Let u = 17 - -18. Round u to the nearest 10.
40
Let t = -958.207 - -952. Let r = t + 0.007. Round r to zero dps.
-6
Let r = -5.597 - 11793.403. Let q = r - -11829.981. Let g = -31 + q. Round g to two decimal places.
-0.02
Suppose 6*y - 2*y = 216. Let q(w) = 447*w**3 - w**2 + w - 1. Let d be q(1). Suppose d = 5*x - y. Round x to the nearest 1000.
0
Let j = 101.2 + -105.59. Let r = j - 0.11. Let x = 4.521 + r. Round x to two dps.
0.02
Let c = 4.030259 + -4.03. Round c to 5 dps.
0.00026
Let n = -269 - -265.51. Round n to zero decimal places.
-3
Suppose -15000003 = 3*s + b, 2*b + 11062365 = -3*s - 3937641. Round s to the nearest 1000000.
-5000000
Let u(w) = 414*w - 2. Let r be u(-2). Let j = r + -5070. Round j to the nearest one thousand.
-6000
Let y = -11765 + 11634.61. Let o = 2.82 - -128.18. Let x = y + o. Round x to one dp.
0.6
Let t be ((-10)/(-8) - 2)*4. Let i be 2/t + (-630014)/(-21). Round i to the nearest 10000.
30000
Let j = 18.8 + 4.2. Let i = -24.95 + j. Let d = -0.94 - i. What is d rounded to 1 dp?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
be the first derivative of b + 5/4*m**4 - 7*m + 0*m**2 + 0*m**3. Differentiate x(n) with respect to n.
15*n**2
Let c = 5 + -2. Suppose 3*q - 4*q - v + c = 0, -5*q = v - 15. Differentiate -5*z**4 + 18*z**q - 18*z**3 - 6 + 2 with respect to z.
-20*z**3
Find the second derivative of 38*g**2 - 49*g - 5 - 50*g + 5 - 85*g wrt g.
76
Let p(s) = -18*s**2 + 475*s + 295. Let g(x) = 8*x**2 - 237*x - 147. Let a(c) = 7*g(c) + 3*p(c). Find the first derivative of a(r) wrt r.
4*r - 234
Find the third derivative of 2*l**2 + 270 - 13*l - 15*l**4 - 270 + 9*l**3 wrt l.
-360*l + 54
Let j(x) be the second derivative of 3/10*x**5 + 0*x**4 + 0*x**2 + 0 - 11/6*x**3 + 2*x. What is the second derivative of j(s) wrt s?
36*s
Let g(m) = 34*m**2 + 13*m - 103. Let w(l) = -33*l**2 - 15*l + 102. Let q(z) = 7*g(z) + 6*w(z). Differentiate q(h) wrt h.
80*h + 1
Suppose -13*w + 152 = -5*w. Find the second derivative of 0*x**2 + w*x - 11*x**2 + 11*x**2 + 35*x**4 wrt x.
420*x**2
Let c(z) = z**3 + z**2 + z + 2. Let v(o) = 377*o**3 + 11*o**2 - 2*o - 6. Let g(w) = -2*c(w) - v(w). Find the third derivative of g(p) wrt p.
-2274
Let s(a) = -3*a**2 - 19*a + 16. Let j(h) = 2*h**2 + 10*h - 8. Let d(o) = 5*j(o) + 3*s(o). Let x be d(6). Differentiate 4*y + 7 - 3*y - x with respect to y.
1
Let h = 273 - 273. Let q(x) be the third derivative of h*x + 5*x**2 + 5/24*x**4 - 1/3*x**3 + 0. What is the first derivative of q(v) wrt v?
5
Let j(n) be the second derivative of 0 - 11/6*n**3 - 11/2*n**2 + 5*n. What is the first derivative of j(o) wrt o?
-11
Find the second derivative of -145*k**3 + 291*k**3 - 179*k**3 - 171*k - 166*k**3 wrt k.
-1194*k
Let m be (117/27)/((-1)/(-3)). Let k = m - 2. What is the derivative of 11 - 14 + k*o**3 - 2*o**3 wrt o?
27*o**2
Let l(g) be the third derivative of -403*g**5/60 + 379*g**4/24 - 101*g**2. Find the second derivative of l(z) wrt z.
-806
Suppose 22 = 4*r - 30. What is the derivative of 1 - 6 + 2 + r*j**3 wrt j?
39*j**2
What is the second derivative of -5 - 3*z - 34*z**3 - 4 - 125*z**4 + 34*z**3 - 2*z wrt z?
-1500*z**2
What is the third derivative of h**2 + 96*h**5 + 81*h**5 + 68*h**5 + 20*h - 182*h**5 wrt h?
3780*h**2
Let f(m) be the first derivative of 2*m**2 - 10*m - 8. Let z be f(3). Find the second derivative of -b**2 - 9*b - b**z + 3*b**2 + b**2 wrt b.
4
Let m(n) be the third derivative of 17*n**8/28 - 77*n**4/6 - 210*n**2 + 2. What is the second derivative of m(f) wrt f?
4080*f**3
Differentiate 65 + 55*p + 57*p + 174*p + 55 wrt p.
286
Let l(t) = 5*t**2 - 6*t + 283. Let y(d) = 7*d**2 - 5*d + 283. Let q(k) = -2*l(k) + 3*y(k). Differentiate q(u) wrt u.
22*u - 3
Let n(a) = -a + 595. Let i(b) = 2*b - 297. Let x(w) = -13*i(w) - 6*n(w). What is the derivative of x(o) wrt o?
-20
Let x = 6 - 3. What is the third derivative of x*j**4 + 7*j**4 - 3*j**4 - 9*j**2 wrt j?
168*j
Let k(b) = 100*b**2 - 8*b - 175. Let d(i) = 66*i**2 - 5*i - 116. Let y(z) = -8*d(z) + 5*k(z). Differentiate y(m) wrt m.
-56*m
Let d(y) be the second derivative of 8*y**5/5 - 2*y**3/3 + 181*y**2/2 + y + 19. Differentiate d(a) wrt a.
96*a**2 - 4
Find the second derivative of 74*p + 85*p - 14*p**4 + 65*p + 4*p**3 - 193*p wrt p.
-168*p**2 + 24*p
Let l(k) = -22*k**3 + 10*k**2 + 8. Let x(s) = -5 + 3*s**2 + 8 + 4*s**3 - 11*s**3. Let b(w) = 6*l(w) - 20*x(w). What is the derivative of b(g) wrt g?
24*g**2
Let q(t) be the third derivative of 5*t**2 + 0*t**5 + 0*t + 0 + 0*t**3 + 7/24*t**4 - 1/30*t**6. What is the second derivative of q(u) wrt u?
-24*u
What is the third derivative of d**3 - d**3 + 7191*d**4 - 7121*d**4 - 8*d**2 wrt d?
1680*d
Let d(p) be the third derivative of 43*p**6/30 + p**5/60 - 421*p**4/24 + 46*p**2 + 6. What is the third derivative of d(n) wrt n?
1032
Let n be (-6)/3*(4 + -5). Find the first derivative of 2 + 1 - 4 + 14*m**n wrt m.
28*m
Let s(a) be the second derivative of 3*a**6/10 + 3*a**5/20 + a**4/6 - 40*a**2 - 403*a. Find the third derivative of s(y) wrt y.
216*y + 18
Let i(l) = -4*l - 112. Let p be i(-32). What is the second derivative of 30*g - p*g - 22*g - 42*g**4 wrt g?
-504*g**2
Let z = 4 + 0. Let x(n) = n + 1. Let p(j) = 4*j + j**3 + 0*j**3 - 2*j**3 - 3*j**3 + 10. Let d(v) = z*x(v) - p(v). What is the derivative of d(o) wrt o?
12*o**2
Let m = 78 - 49. Let c = m + -21. What is the derivative of 0 - c*g + 13*g - 9 wrt g?
5
Let h(k) = -3*k**4 - 5*k**2 - 5*k - 17. Let w(f) = 3*f + 89 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the closest to 0.2? (a) -1 (b) v (c) 8
b
Let o = 26073 - 78217/3. Which is the nearest to o? (a) -5 (b) 44 (c) -2
c
Suppose -2*p - f + 2*f - 9 = 0, -25 = -5*f. Let g = 24.5 + -24. Let n = 210 - 628/3. What is the closest to p in 0.1, n, g?
0.1
Let i be -720*((-49)/21 - -3). Let g = i + 478. Which is the nearest to -19? (a) g (b) -1 (c) 0 (d) -5
d
Let t = 0.04861 + 1.55139. Let r = -34 + 273/8. What is the closest to t in 0.2, r, -2/7?
0.2
Let g = 6375 - 6375. What is the closest to -0.3 in -0.072, -4/7, g?
-0.072
Let o = 23 - 43. Let z = o + 29. Let f = 13 - z. Which is the nearest to 1/4? (a) -0.6 (b) 5 (c) f
a
Let k be (-1)/(-4) - (-2)/(-40). Let o = -1896.9 - -1896.7. Which is the nearest to 1? (a) -1/2 (b) k (c) o
b
Let y be (-6 - ((-798)/18)/7)*-6. What is the nearest to -39 in 5/3, y, 4?
y
Let c = -1.3 - -0.3. Let z = 4 + c. Let w = -1010384 + 1010379. What is the nearest to z in -0.5, w, -1/4?
-1/4
Let d = 1.177 - 243.677. Let h = d - -243. What is the closest to -1 in -2/7, 1, h, 0.1?
-2/7
Let u = 382 + -380. Let p = -12 - u. Which is the nearest to -1/8? (a) -3 (b) p (c) 5
a
Let w = -2.151 + 3.151. What is the nearest to -4.1 in w, -3, 0.1, 2/3?
-3
Let x = -440.9 + 441. Let i(s) = s**3 + 13*s**2 - 28*s + 35. Let z be i(-15). Which is the nearest to x? (a) -1/4 (b) 8 (c) z (d) 0
d
Let k(x) = 2*x**2 + 3*x + 11. Let m be k(-3). Let w be (128/m - 3) + -3. Let n = 14 + -9. What is the nearest to w in n, 1/7, 4/5?
1/7
Let m be (15 + -6)/9 - -248. Suppose g - 244 = -m. What is the nearest to 0 in -5/4, 0.3, g, -24?
0.3
Let o = 281 - 301.15. Let t = 20.1 + o. Let l = 3 + -5. Which is the nearest to l? (a) 2/5 (b) 3 (c) t
c
Let k = -131.0392 + 0.0392. Let h = 136 + k. Which is the closest to -1/14? (a) 2/7 (b) -0.2 (c) h (d) -3
b
Suppose -28*y + 46 = -24*y + 5*m, -3*m + 30 = 3*y. Let d = -8.2 + -1.8. What is the nearest to d in y, -3, 0.1?
-3
Let l = -12 + 12.4. Let h = 54.1 - 57. Let n = 2.7 + h. What is the nearest to n in l, 1/2, -2/7?
-2/7
Let y = -11807 + 12244. What is the nearest to -2/3 in 2/5, -2/15, y?
-2/15
Let d = -0.42 + 0.02. Let j = 0.2 + -0.1. Let v be (-2)/(10 + 5 - 25). Which is the nearest to -2/5? (a) d (b) v (c) j
a
Let f = 0.022 + -0.002. Let r = -391/24 - -133/8. Which is the closest to r? (a) f (b) -0.06 (c) 0.2
c
Suppose -7 = o + 2*o + 5*i, -4*i = o + 7. Let d = 10.08 - 0.08. Let w = d + -5. Which is the closest to 1/3? (a) o (b) 2/3 (c) w
b
Let x = -14.696 - -14.66. What is the closest to 1/2 in 1/3, 0.4, x, 0.2?
0.4
Let j = -1.344 + 6.344. Which is the nearest to -1? (a) j (b) 1 (c) 24 (d) 0.4
d
Let u = 5.27 - 1.37. Let o = 7.9 - u. What is the nearest to 1 in 2, -8, o?
2
Let i = 23.16 - 23.46. Let z be (-6)/(-15)*5 + 0 + -2. Let j = -6 + 5.8. Which is the closest to j? (a) 0.5 (b) z (c) i
c
Let a be 208/(-12 - -38) + (-166)/20. What is the closest to -12 in 0.2, -0.1, a, -5?
-5
Let b = 0.278 - 0.178. Let u = -2.11 + 6.65. Let x = 0.54 - u. What is the closest to b in 0.3, -0.06, x?
-0.06
Let n = -4 - 1. Let q be 14/56 - (-825)/396. Let r = 0.06 + -4.06. Which is the nearest to -1? (a) q (b) n (c) r
c
Let k = -7065.2 + 7047. Which is the nearest to -0.2? (a) -1 (b) k (c) -5
a
Let d = -11967.7 - -11968. Suppose 2*b + 12 = -2*b + 2*v, -3*v - 18 = 3*b. What is the closest to d in 2, b, 0.01?
0.01
Let k = -1.538 - -77.538. Which is the nearest to 1/2? (a) -0.2 (b) k (c) -0.03
c
Let j = 2/2713 - 5444/24417. Let i = 0.1 + 0.3. Let q be 4 - 32/7 - -1. What is the nearest to j in -0.3, i, q?
-0.3
Let h = -558.081 - -0.081. Let f = h - -559. Which is the nearest to -1/4? (a) 4/5 (b) f (c) 0.3 (d) 0.2
d
Let h be (3 + (-26)/8)*(-15 - (-1 - 12)). What is the nearest to 0.2 in h, 1, -0.41, -2?
h
Let b(w) = -w**3 + 13*w**2 - 93*w + 145. Let p be b(2). Let x = -0.01 - -0.07. What is the nearest to -3 in x, 6, p?
x
Let h be 14/91 - (-39372)/286. Let t = h + -138. Let q be (0/(-1))/(2 + -3). What is the nearest to -1 in -3, q, t?
t
Let d = -1.1 - -4.1. Let n = 6112/5 + -1222. Let i be (2 + 1)*(-10)/(-12). What is the closest to 4 in n,
|
{
"pile_set_name": "DM Mathematics"
}
|
gest value in 1, 3, -9, -3/5, -1/4?
3
Which is the second biggest value? (a) 145 (b) -0.3 (c) -1/12
c
What is the fourth smallest value in -0.2, 32, -5, 3/2?
32
What is the smallest value in 10, -5, -1, -1.16?
-5
What is the third smallest value in -3/5, 1889, 3?
1889
What is the second smallest value in -0.3, -5, -81?
-5
Which is the second biggest value? (a) 7 (b) 4 (c) 0 (d) 2/15
b
Which is the smallest value? (a) -1 (b) 38/9 (c) 9
a
Which is the second smallest value? (a) -0.4 (b) 0.4 (c) -19/15
a
Which is the fourth biggest value? (a) 0.431 (b) -3 (c) 2/13 (d) 6
b
What is the second smallest value in 205, -5, -0.4?
-0.4
Which is the second biggest value? (a) -2/83 (b) 0.46 (c) 0.1
c
Which is the fourth smallest value? (a) -2/17 (b) 0.7 (c) 0.3 (d) -4
b
Which is the second biggest value? (a) -31 (b) 5 (c) -3/11
c
Which is the biggest value? (a) -3/5 (b) -2 (c) 2/9
c
Which is the second biggest value? (a) 1 (b) 3/2 (c) -11 (d) -4 (e) -5
a
What is the fourth biggest value in 5, -0.6, 2, -309?
-309
Which is the second smallest value? (a) 0.03 (b) -1/3 (c) 10
a
What is the biggest value in 6, -2, 2/13, 0?
6
Which is the second smallest value? (a) -2/13 (b) -0.6 (c) -0.29
c
What is the biggest value in -2, -2/15, 110, 2, 3?
110
Which is the biggest value? (a) -1 (b) 3/8 (c) 0.5 (d) -6
c
Which is the biggest value? (a) 0 (b) -2/25 (c) -43
a
What is the smallest value in -4, -3, 1/7, -0.1, -2/11?
-4
Which is the fourth biggest value? (a) -1 (b) 3 (c) -55 (d) 4
c
Which is the third biggest value? (a) -0.17 (b) -2 (c) 33
b
Which is the second smallest value? (a) 2/3 (b) 2/25 (c) -1/5
b
Which is the second smallest value? (a) 0.4 (b) -2390 (c) -1/2
c
Which is the fourth smallest value? (a) -5 (b) -0.005 (c) -4/3 (d) 1/6 (e) 3/4
d
What is the fourth smallest value in 5, -2/11, 0.5, 23?
23
What is the third smallest value in 3/13, 0.3, 2, -0.1?
0.3
Which is the third biggest value? (a) 2 (b) -2/183 (c) 0.6
b
What is the second biggest value in -0.06, 0.095, 0.09?
0.09
What is the second biggest value in -1, 9, -9, 0.3, -5?
0.3
What is the third smallest value in 1/4, -72, 0.4?
0.4
What is the third smallest value in -9, 2/9, 5, 1?
1
Which is the biggest value? (a) 2 (b) 0.1 (c) -2/7 (d) -27 (e) 0.5
a
Which is the second smallest value? (a) 8/3 (b) 2/47 (c) 0.07 (d) -3/7
b
What is the smallest value in -0.322, 1.5, -1/5?
-0.322
Which is the third biggest value? (a) 0.2 (b) -77.3 (c) 0.4 (d) -2/3 (e) -3
d
What is the second biggest value in -15, 2/13, -8?
-8
What is the biggest value in 0.06, -0.1, 2/7, -1, -5/6?
2/7
Which is the third smallest value? (a) -0.3 (b) 9 (c) -2/5 (d) -3
a
What is the smallest value in -0.01, 46, -0.5, -5?
-5
Which is the fourth biggest value? (a) -0.1 (b) 3 (c) -1 (d) -4
d
Which is the smallest value? (a) -0.3 (b) 0.2 (c) 2 (d) 134
a
Which is the second biggest value? (a) 4 (b) 55 (c) 0.5
a
Which is the second biggest value? (a) -0.4 (b) 231 (c) 0.3 (d) 1/2
d
What is the third biggest value in -0.1, -3, 1/2, -5?
-3
Which is the third smallest value? (a) -1/9 (b) -5 (c) -11 (d) -4
d
Which is the third smallest value? (a) 5 (b) -1 (c) -2 (d) -0.21 (e) -3/2
b
Which is the smallest value? (a) 0 (b) -2/9 (c) -50 (d) -5
c
What is the biggest value in -12, 4, 0?
4
What is the biggest value in 88, 6, -10?
88
What is the second biggest value in -0.3, -43, -2?
-2
Which is the second smallest value? (a) 2 (b) 0.2 (c) 6/11 (d) 2/9
d
What is the third smallest value in -0.1, 5/4, -72?
5/4
What is the third biggest value in -4/5, 4/5, 280?
-4/5
Which is the second biggest value? (a) 1/4 (b) 4/5 (c) 17 (d) -4
b
What is the third biggest value in 2, 1, 1/5, 4?
1
What is the second biggest value in -35, -2/109, -0.1?
-0.1
Which is the biggest value? (a) -79 (b) -2/11 (c) 3 (d) 16
d
What is the fourth biggest value in -5, 30, -2/5, 2/7?
-5
What is the second biggest value in 4, -1/3, 3, -0.14?
3
What is the second smallest value in -1, -4/15, -5?
-1
Which is the smallest value? (a) -0.24 (b) 4 (c) 28
a
Which is the biggest value? (a) 4 (b) 0.1 (c) 106
c
Which is the smallest value? (a) 654 (b) 2/3 (c) -3 (d) 0
c
What is the fourth biggest value in -1/4, 22, 0.4, 0?
-1/4
Which is the biggest value? (a) -5/2 (b) 0.3 (c) -0.147
b
Which is the second smallest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
7006?
-6752*p + 2
What is the m'th term of 123, 244, 365, 486?
121*m + 2
What is the z'th term of 76, 77, 78, 79?
z + 75
What is the x'th term of -376, -747, -1118, -1489, -1860, -2231?
-371*x - 5
What is the r'th term of 128, 134, 140, 146?
6*r + 122
What is the w'th term of -5, 1, 7, 7, -5, -35, -89, -173?
-w**3 + 6*w**2 - 5*w - 5
What is the s'th term of 1247, 2493, 3739, 4985, 6231, 7477?
1246*s + 1
What is the s'th term of -238, -486, -736, -988, -1242?
-s**2 - 245*s + 8
What is the r'th term of 236, 234, 232, 230, 228?
-2*r + 238
What is the o'th term of 28, 46, 52, 40, 4?
-o**3 + 25*o + 4
What is the i'th term of -2160, -2172, -2192, -2220?
-4*i**2 - 2156
What is the d'th term of 296, 604, 912, 1220, 1528, 1836?
308*d - 12
What is the t'th term of 2339, 4687, 7037, 9389, 11743, 14099?
t**2 + 2345*t - 7
What is the g'th term of -26, 1, 26, 49, 70, 89?
-g**2 + 30*g - 55
What is the k'th term of -1, 6, 19, 44, 87?
k**3 - 3*k**2 + 9*k - 8
What is the n'th term of 10, 13, 14, 13, 10, 5, -2?
-n**2 + 6*n + 5
What is the m'th term of 244, 248, 254, 262?
m**2 + m + 242
What is the n'th term of 45, 48, 51, 54, 57, 60?
3*n + 42
What is the m'th term of 4119, 4120, 4121, 4122, 4123, 4124?
m + 4118
What is the d'th term of 33, 612, 2187, 5256, 10317?
83*d**3 - 2*d - 48
What is the i'th term of -190, -358, -524, -688?
i**2 - 171*i - 20
What is the v'th term of 981, 991, 1015, 1059, 1129, 1231, 1371?
v**3 + v**2 + 979
What is the f'th term of 572, 568, 554, 524, 472, 392, 278?
-f**3 + f**2 + 572
What is the w'th term of -47, -95, -141, -185, -227?
w**2 - 51*w + 3
What is the v'th term of -21, -45, -69, -93, -117?
-24*v + 3
What is the n'th term of -5868, -11732, -17596?
-5864*n - 4
What is the l'th term of 534, 523, 496, 447, 370, 259, 108, -89?
-l**3 - 2*l**2 + 2*l + 535
What is the t'th term of -1070, -1076, -1086, -1100, -1118, -1140, -1166?
-2*t**2 - 1068
What is the f'th term of 30, -4, -38, -72, -106?
-34*f + 64
What is the o'th term of 60, 65, 74, 87, 104, 125, 150?
2*o**2 - o + 59
What is the n'th term of -36085, -36086, -36087, -36088, -36089, -36090?
-n - 36084
What is the u'th term of 4, 3, 2, 1?
-u + 5
What is the w'th term of -6999, -6998, -6997?
w - 7000
What is the v'th term of -2019, -4037, -6055, -8073, -10091?
-2018*v - 1
What is the i'th term of -893, -898, -917, -956, -1021, -1118, -1253, -1432?
-i**3 - i**2 + 5*i - 896
What is the k'th term of -22, -10, 4, 14, 14, -2, -40, -106?
-k**3 + 7*k**2 - 2*k - 26
What is the z'th term of -266, -279, -300, -329?
-4*z**2 - z - 261
What is the f'th term of -1750, -1748, -1746?
2*f - 1752
What is the v'th term of -7, 47, 103, 161?
v**2 + 51*v - 59
What is the g'th term of 225, 454, 683, 912, 1141, 1370?
229*g - 4
What is the m'th term of 123, 120, 115, 108, 99, 88?
-m**2 + 124
What is the n'th term of 22, 93, 212, 379, 594?
24*n**2 - n - 1
What is the p'th term of -47, -70, -97, -128, -163, -202, -245?
-2*p**2 - 17*p - 28
What is the y'th term of -140, -249, -328, -371, -372, -325, -224?
y**3 + 9*y**2 - 143*y - 7
What is the f'th term of 10, 59, 144, 265?
18*f**2 - 5*f - 3
What is the t'th term of -26, -63, -102, -143, -186, -231, -278?
-t**2 - 34*t + 9
What is the u'th term of -58, -64, -80, -112, -166, -248, -364?
-u**3 + u**2 - 2*u - 56
What is the r'th term of -3, 4, 23, 60, 121, 212, 339?
r**3 - 4
What is the l'th term of 43, 86, 121, 142, 143, 118, 61, -34?
-l**3 + 2*l**2 + 44*l - 2
What is the i'th term of -104, -77, -26, 55, 172, 331, 538?
i**3 + 6*i**2 + 2*i - 113
What is the g'th term of -78, -67, -42, 3, 74, 177?
g**3 + g**2 + g - 81
What is the h'th term of -1256, -2509, -3762, -5015, -6268, -7521?
-1253*h - 3
What is the o'th term of 177, 333, 491, 651, 813, 977, 1143?
o**2 + 153*o + 23
What is the f'th term of -6, -88, -238, -462, -766?
-f**3 - 28*f**2 + 9*f + 14
What is the h'th term of 396, 796, 1208, 1638, 2092, 2576, 3096?
h**3 + 393*h + 2
What is the v'th term of -5, -28, -65, -116, -181, -260?
-7*v**2 - 2*v + 4
What is the d'th term of 11044, 11053, 11076, 11119, 11188, 11289, 11428, 11611?
d**3 + d**2 - d + 11043
What is the r'th term of 26, 90, 196, 344?
21*r**2 + r + 4
What is the b'th term of 74, 134, 156, 122, 14?
-3*b**3 - b**2 + 84*b - 6
What is the m'th term of -117, -116, -
|
{
"pile_set_name": "DM Mathematics"
}
|
culate j(8).
24
Let p(r) = -2*r**3 + 2*r**2 - 4*r + 3. Determine p(2).
-13
Let n(t) = 4*t**2 + 24*t + 13. Give n(-6).
13
Let i(c) = 3*c**2 - c - 2. Give i(2).
8
Let m(g) = g**3 + 4*g**2 - 3*g - 4. What is m(-4)?
8
Let x(s) = -8*s + 37. Determine x(9).
-35
Let z(p) = 2*p - 3. Calculate z(7).
11
Let g(r) = 3*r**2 - 27*r - 3. Give g(13).
153
Let l(r) = r**3 - 8*r**2 - 2*r + 15. Determine l(8).
-1
Let i(b) = b**2 - 32*b - 712. What is i(47)?
-7
Let x(f) = f + 24. Determine x(-19).
5
Let a(l) = -2*l - 5. Calculate a(-7).
9
Let c(w) = -w**3 + 9*w**2 + 16*w - 9. Give c(11).
-75
Let w(h) = -h**2 - 20*h - 20. Give w(-1).
-1
Let h(d) = -5*d + 59. Determine h(11).
4
Let q(k) = 2*k - 27. Give q(9).
-9
Let d(v) = v**3 - v**2 + 39. Calculate d(0).
39
Let v(n) = -21*n + 683. What is v(33)?
-10
Let n(a) = -a**3 + 13*a**2 - a + 1. Give n(13).
-12
Let b(d) = -d**2 - 6*d - 1. Calculate b(-3).
8
Let r(h) = -h**3 + 9*h**2 - 15*h + 2. Determine r(7).
-5
Let z(f) = f - 3. Determine z(7).
4
Let d(m) = -100*m**2 + 3*m - 2. Determine d(1).
-99
Let k(u) = -4*u + 25. What is k(5)?
5
Let q(f) = -6*f**2 - 2*f + 5. Give q(-2).
-15
Let v(k) = -4*k**2 - 16*k - 5. What is v(-4)?
-5
Let i(t) = -5*t + 3. Give i(-6).
33
Let k(m) = -13*m**2 + m - 1. Calculate k(1).
-13
Let q(s) = s**3 + 25*s**2 + s + 9. Calculate q(-25).
-16
Let v(h) = 2*h**3 + 2*h**2 + 6*h + 3. Calculate v(-1).
-3
Let x(t) = t**3 - 2*t**2 + 2. Calculate x(2).
2
Let m(d) = 5*d + 56. Calculate m(-11).
1
Let i(a) = a**3 - 12*a**2 - 6*a + 17. Calculate i(12).
-55
Let q(a) = -a**2 - 26*a - 8. Give q(-26).
-8
Let y(i) = -36*i - 11. What is y(-3)?
97
Let g(h) = h**2 - 6*h - 29. What is g(-3)?
-2
Let b(r) = -2*r - 58. Calculate b(11).
-80
Let n(l) = 5*l - 6. Give n(-3).
-21
Let f(v) = 4*v**2 + 33*v - 22. Give f(-9).
5
Let k(p) = p**3 - 31*p**2 - 66*p + 8. What is k(33)?
8
Let m(t) = 4*t - 39. Determine m(8).
-7
Let v(i) = -2*i + 7. Determine v(16).
-25
Let u(q) = 9*q + 12. What is u(-7)?
-51
Let i(z) = 16*z**2 - 1. Calculate i(-1).
15
Let a(k) = -k**2 + 27*k + 94. Give a(-3).
4
Let b(t) = -2*t - 11. Determine b(0).
-11
Let h(g) = 7*g + 17. What is h(-2)?
3
Let t(k) = -2*k**2 + 6*k. Give t(3).
0
Let x(d) = d**2 - 10*d - 21. Give x(14).
35
Let i(j) = -2*j**2 - 2. What is i(-4)?
-34
Let t(o) = -4*o + 97. What is t(17)?
29
Let c(r) = 3*r**2 + 2*r + 1. Determine c(2).
17
Let v(k) = 4*k**2 - k - 11. Determine v(-3).
28
Let q(a) = a**2 - 7*a - 21. Calculate q(10).
9
Let n(s) = s**2 + 10*s - 32. Give n(-13).
7
Let k(y) = -2*y**3 - 99*y**2 + 52*y + 96. What is k(-50)?
-4
Let t(p) = -8*p + 26. What is t(4)?
-6
Let l(u) = -u**3 + 10*u**2 + 16*u - 40. Determine l(11).
15
Let i(z) = -3*z - 5. What is i(-10)?
25
Let y(r) = -r**3 + 7*r**2 - 9. Calculate y(7).
-9
Let f(i) = i**3 + 9*i**2 + 5. Calculate f(-9).
5
Let v(t) = -4*t**2 + 3*t + 2. Determine v(-2).
-20
Let h(g) = -2*g**2 - 4*g + 5. Determine h(4).
-43
Let r(j) = -2*j**3 + 17*j**2 - 7*j - 9. Determine r(8).
-1
Let y(p) = -3*p - 119. Calculate y(-36).
-11
Let k(t) = -36*t**3 - t**2 + t + 1. Determine k(-1).
35
Let f(p) = 6*p**2 + 34*p - 47. Calculate f(-7).
9
Let b(z) = -11*z + 64. What is b(6)?
-2
Let h(w) = w + 20. Give h(7).
27
Let x(d) = d**2 - 6*d + 6. Give x(7).
13
Let c(b) = 2*b**3 - 4*b**2 + b - 6. What is c(3)?
15
Let x(z) = -2*z**2 + 26*z + 55. Determine x(15).
-5
Let z(d) = 15*d + 6. What is z(-2)?
-24
Let r(m) = -m**3 - 23*m**2 + 22*m - 27. Give r(-24).
21
Let m(b) = 2*b**2 + 47*b + 175. Give m(-19).
4
Let z(c) = 15*c + 3. Determine z(-1).
-12
Let w(j) = j + 17. Give w(0).
17
Let s(f) = -f**2 - 17*f + 2. What is s(-7)?
72
Let a(h) = 9*h - 272. Give a(31).
7
Let l(q) = -q**2 + 43*q - 316. Determine l(10).
14
Let s(h) = -2*h**2 - 17*h - 11. Determine s(-7).
10
Let y(f) = f - 34. Determine y(16).
-18
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-4)))/(1/12)).
1/2
What is (11/(-4))/((-2134)/(-139680)*-280)?
9/14
Evaluate (18/(-66))/((117/208*-4)/(9/(-6))).
-2/11
Evaluate (-192)/(-48)*(171/(-846))/19.
-2/47
(-3*(-2)/60)/(130/1040)
4/5
What is the value of 12/(-34)*2226388/13548?
-58
What is the value of (33/858)/((70/65)/7*-1)?
-1/4
What is the value of (-7)/(-21)*((-3)/(-5))/((-13195)/(-2275))?
1/29
Evaluate ((-116)/(-29)*2/12)/(136/(-6)).
-1/34
Calculate (48/(-18))/((2/(-24))/(((-126)/(-48))/(-7))).
-12
What is ((-190)/(-38))/((-130)/(-60))*(2*1)/12?
5/13
What is the value of (3/(-23))/(12/(8/(-10)*10))?
2/23
What is (-320)/12*(-12558)/(-10465)?
-32
Calculate 8/18*(-270)/(-6).
20
Calculate ((-9)/(1161/(-86)))/((-4)/(-570)).
95
What is -10*(-145)/(154280/(-399))?
-15/4
Evaluate (-6*945/(-324))/(1/(8/10))*-2.
-28
Calculate -10*11/(-42)*(-314460)/(-87350).
66/7
What is the value of ((-71961)/167909)/((-3)/686)?
98
What is (52535/9006)/(20/(-6))?
-7/4
What is the value of ((-34)/46)/((-764)/(-52716))?
-51
Evaluate (((-3168)/154)/48*1)/((-2)/364).
78
What is the value of (224/952)/(92050/4471)?
2/175
((-43)/((-80109)/(-138)))/1
-2/27
What is the value of (-8)/(-320)*(-8)/140*28*-15?
3/5
7/112*-11*116/(-2552)
1/32
What is the value of ((3/(-24))/((-216)/216))/(14/(-8))?
-1/14
Calculate ((-49)/(-245)*-215)/((-3)/(-6)).
-86
What is the value of 10*((-3)/20)/((-37)/((-4736)/912))?
-4/19
Evaluate 2/145*(-390)/234.
-2/87
Calculate (108*45/25920*1*16)/((-9)/(-123)).
41
What is the value of 250/60*-2*15/150?
-5/6
Evaluate (-2156986)/(-28856)*(-5)/(65/2).
-23/2
Calculate 47/(35532/567)*(1088/(-6))/2.
-68
Calculate (108*46/828)/219.
2/73
What is 8*(-20)/(-48)*(-387)/215?
-6
(((-18)/(-9))/((-4)/(-2)))/(-28*(-4)/672)
6
Calculate (1656/782)/((-189)/(-306)).
24/7
(103*1)/(966/(-4347)*(-7)/((-42)/(-27)))
103
(17/((-357)/28))/(9*2/27)
-2
72/(-56)*14/(-6)*312/36
26
Evaluate (((-1989)/(-26))/17)/((-924)/77).
-3/8
Calculate ((-10)/(80/36))/(24/(-2688)*-24).
-21
Evaluate (-25)/(5*24*(-26)/(-5616)).
-45
What is ((-9)/(-21))/((-11)/(-7700)*6)?
50
2*(-39100)/644*35/(-50)
85
What is the value of (126/(-147))/(95/((-37905)/(-2052)))?
-1/6
What is the value of (6280/(-97968))/(10/4)?
-1/39
((-650916)/6804)/(((-1050)/18)/5)
41/5
Evaluate 4*(-24)/(-40)*(-135)/(-567).
4/7
What is the value of ((5607/(-126))/89)/(166/(32/(8/2)))?
-2/83
(7*(-24)/(-70))/((83/(-996))/((-20)/18))
32
Calculate (-12493)/1922*(-87)/39.
29/2
Calculate (-5)/2*(-4553)/9106.
5/4
What is the value of ((-60)/(-280))/((-268)/(-1407))?
9/8
What is (11748/8811)/(164/(-6))?
-2/41
((-105)/140*2)/(18/174)
-29/2
Evaluate (12/(-18)*(-26)/(-1560))/(1/(-1)).
1/90
Evaluate (27*(-1)/(-999))/(34/68).
2/37
What is 25*28/(-8680)*24/30?
-2/31
What is (13/(2080/336))/((-36)/(-840))?
49
((-4)/2)/((2552/95352)/((-176)/(-96)))
-137
What is (((-225)/(-1320))/(2/((-16)/(-6))))/((-9)/18)?
-5/11
Calculate ((-35)/(-91))/(1775/64610).
14
What is -17*(-20)/850*4/(-9)*(-5)/6?
4/27
Calculate (77/154)/(484/2640).
30/11
Evaluate ((176/(-99))/16)/((568/504)/(-71)).
7
Evaluate ((-25)/(-36))/(-5)*(-3250)/(-8125).
-1/18
Evaluate ((-141)/(-1269)*30/8*4)/((-1185)/(-18)).
2/79
What is ((-8631)/1507)/(791/(-2486))?
18
((-3)/14)/(6624/(-27048))
7/8
Evaluate -121*(-13578)/(-4092)*(-2)/11.
73
What is 22/9*287/((-498806)/(-316))?
4/9
(2/(-24))/(((-80586)/(-880))/(-333)*6/(-44))
-20/9
Calculate ((-132)/84)/(16/(-3024)*9).
33
Calculate 343/49*(-42)/(-5488)*160.
60/7
((3/3)/(-2))/((4/(-20))/(679/485))
7/2
Evaluate ((((-63)/30)/7)/((-15)/980))/((-14)/(-35)).
49
Evaluate (1/(13/(-4030)*-30))/((4/(-4))/3).
-31
(-32*(-840)/(-27776))/(3/(-93))
30
What is the value of ((-1)/3)/(-1)*67/((-8174)/(-183))*-140?
-70
What is the value of (8/(-114))/(130/3900*-40)?
1/19
What is the value of ((-2)/(-16))/(211/1688*(-3)/3)?
-1
What is the value of (-184)/(-4)*(-520)/(-208)?
115
7/(59/((-12036)/119))
-12
-12*66/9*(-14)/168*9
66
(-90)/(-3)*(403/(-26))/(-31)
15
What is ((((-6)/40)/(-3))/((-502)/6024))/1?
-3/5
What is ((-1584)/616*-2*7/10)/((-2)/5)?
-9
What is the value of (550/(-242))/(100/(-1100))?
25
Calculate ((-137)/(117546/(-660)))/((-2)/(-13)).
5
What is (3/6)/((25/1400)/(4/16))?
7
What is the value of ((-150)/(-825))/((2*1/4)/((-2)/(-2)))?
4/11
(-188)/(-2256)*1/7*-1*2191/939
-1/36
Evaluate ((-1148)/(-123))/(((-28)/70)/(48/400)).
-14/5
Evaluate ((-176)/(-1716))/((-4)/(-26))*((-546)/2171)/14.
-2/167
What is the value of (-231)/1232*-8*(54/4)/((-21)/56)?
-54
Calculate (-29)/(-6)*3*41/1681*82.
29
-55*(1804/2662)/(-41)
10/11
What is ((-472)/32*12/15)/(98*7/3430)?
-59
What is the value of (9*60/63)/(((-207)/966)/(6/(-8)))?
30
Evaluate ((36/(-147))/(142/(-497)))/((-15)/5).
-2/7
Calculate (34/7344*18)/((42/(-48))/7).
-2/3
What is (((-22000)/560)/275)/((-2)/448)?
32
What is the value of (((-19491)/(-1335))/(1/(-4)*(-6)/(-15)))/2?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
rd derivative of -3047*h**4 + 6706*h**3 + 6*h**2 - 108479*h + 37 wrt h.
-73128*h + 40236
What is the second derivative of -67040523*o**5 + o**4 + 3327276*o - 8 wrt o?
-1340810460*o**3 + 12*o**2
Differentiate 38190819*i*q**3 + 4*q**3 - 134*q**2 - 4261*q + 2 with respect to i.
38190819*q**3
Differentiate 381205560*g + 392112951.
381205560
Find the second derivative of 15851105*p*w**4 + 3180*p*w - 2696*w wrt w.
190213260*p*w**2
Find the third derivative of 15000991*c**4 - 6*c**3 + 129*c**2 - 531270*c wrt c.
360023784*c - 36
What is the first derivative of 278237841*i - 311103839 wrt i?
278237841
Differentiate 2*b**3 - 1141480*b**2 - b - 23884145.
6*b**2 - 2282960*b - 1
What is the second derivative of -4*c**3*n**2 + 2*c**3*n + 5*c**3 + 2*c**2*n**2 + 4*c**2*n + 1570*c*n**2 - 3756*c*n + 3*c + 3*n**2 wrt n?
-8*c**3 + 4*c**2 + 3140*c + 6
What is the first derivative of 601790228*h - 301811990?
601790228
Differentiate 445637*p**2*r - 65*p**2 + 210875319*r with respect to p.
891274*p*r - 130*p
Find the second derivative of 667*o**3*z**2 - 86*o**3 + 49*o**2 - 4*z**3 - 250*z**2 + 39*z wrt z.
1334*o**3 - 24*z - 500
What is the second derivative of 1539657*d**4 - 15675112*d?
18475884*d**2
What is the third derivative of 1712*j**4 - 8777*j**3 - 35724273*j**2 wrt j?
41088*j - 52662
Find the third derivative of 270*d**6 + 1701*d**5 - 17*d**3 + 10095942*d**2.
32400*d**3 + 102060*d**2 - 102
Find the third derivative of -13280759*o**4 - 19*o**2 - 3726*o - 31.
-318738216*o
Find the third derivative of -13432583*m*u**3 - 8*m*u**2 + 45*m + 89*u**2 + 17*u wrt u.
-80595498*m
Find the second derivative of 8191968*m**2 - 586450*m.
16383936
What is the first derivative of 145597464*d**3 - 598617609?
436792392*d**2
Find the third derivative of 13673*g**5*n + 10*g**5 - 382664*g**2 - g*n wrt g.
820380*g**2*n + 600*g**2
What is the derivative of 348543838*w + 330822194?
348543838
Find the first derivative of -180196665*d - 18518386 wrt d.
-180196665
What is the second derivative of 5903*l**3*p**2 + 4*l**3*p - 2*l**3 + 3*l*p**2 - 4*l*p - 466473*l wrt l?
35418*l*p**2 + 24*l*p - 12*l
Differentiate -2*a**3*q - 30078359*a**3 - 6492553*q - 2 with respect to a.
-6*a**2*q - 90235077*a**2
Find the second derivative of 501*j**2*r**3 - j**2*r + 3*j**2 - j*r - 3*j - 84035*r**3 - 62660*r - 8 wrt r.
3006*j**2*r - 504210*r
What is the first derivative of 250989080*o - 581985935 wrt o?
250989080
What is the second derivative of 21*p**4 + 67945*p**3 + 104283*p - 1?
252*p**2 + 407670*p
Differentiate -2*a**3 + 26914*a**2 - 117*a - 23430775 wrt a.
-6*a**2 + 53828*a - 117
What is the third derivative of -861*v**6 + 3523*v**4 - 78031834*v**2 wrt v?
-103320*v**3 + 84552*v
Find the second derivative of 1886298*x**2 - 2025731*x.
3772596
What is the second derivative of -310*k**2*q**2 + 180*k**2*q + 15*k**2 - 2*k*q**2 - 5*k*q - 3*k + 101*q**2 + 137*q + 1 wrt k?
-620*q**2 + 360*q + 30
What is the derivative of 208*d**2*y - 44028947*d**2 + 6*d*y**2 - 4*y**2 - 129*y wrt y?
208*d**2 + 12*d*y - 8*y - 129
What is the first derivative of -83192384*j**4 + 691434457 wrt j?
-332769536*j**3
What is the second derivative of 2*o**2*s**3 + 529*o**2*s**2 + 136*o**2*s - 7*o**2 - 2*o*s - 561*s**3 + 163*s - 2 wrt s?
12*o**2*s + 1058*o**2 - 3366*s
Differentiate 21253*k**3*p - 47015343*k**3 + 39*k**2*p - p wrt p.
21253*k**3 + 39*k**2 - 1
Find the third derivative of -1144910269*q**6 - 1096063057*q**2 wrt q.
-137389232280*q**3
Differentiate -4264456*q**4*z + 3*q*z**2 - 34017121*z**2 - 1 wrt q.
-17057824*q**3*z + 3*z**2
What is the derivative of -3903613*v**2 - 13793590?
-7807226*v
Find the second derivative of -226169*a**3*b**2 + 4*a**3*b - 2*a**3 - 5*a**2*b + 158*a*b**2 + 25097*b wrt b.
-452338*a**3 + 316*a
Find the third derivative of -33191723*b**3*r**3 + 10*b**3*r**2 - 2*b**2*r**2 + 24*b**2*r + b**2 + b*r + 25*r**2 wrt r.
-199150338*b**3
Find the third derivative of -10183253*k**5 - 2*k**3 + 5297*k**2 - 1605*k.
-610995180*k**2 - 12
Find the second derivative of 45068942*w**2 + 10106033*w wrt w.
90137884
What is the first derivative of 453854*h**3*s + 33497*h**3 + h**2*s + h*s - 1527*h wrt s?
453854*h**3 + h**2 + h
What is the derivative of 236558317*l**3 - 293040181 wrt l?
709674951*l**2
What is the second derivative of 3*v**3*y**2 + 1354*v**3 - 1201*v**2*y**2 - 2*v**2*y + 2*v**2 + 4*v*y - v - 2091*y**2 - 73*y wrt y?
6*v**3 - 2402*v**2 - 4182
Find the third derivative of -2*a**6
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 35.
4
What is the remainder when 186 is divided by 15?
6
Calculate the remainder when 33 is divided by 12.
9
Calculate the remainder when 372 is divided by 168.
36
Calculate the remainder when 38 is divided by 34.
4
What is the remainder when 3946 is divided by 11?
8
What is the remainder when 52 is divided by 50?
2
What is the remainder when 6 is divided by 2?
0
What is the remainder when 310 is divided by 99?
13
What is the remainder when 1252 is divided by 321?
289
What is the remainder when 148 is divided by 53?
42
What is the remainder when 39 is divided by 14?
11
What is the remainder when 66 is divided by 18?
12
Calculate the remainder when 422 is divided by 106.
104
Calculate the remainder when 744 is divided by 724.
20
What is the remainder when 1112 is divided by 13?
7
Calculate the remainder when 283 is divided by 51.
28
Calculate the remainder when 66 is divided by 9.
3
Calculate the remainder when 154 is divided by 31.
30
What is the remainder when 3715 is divided by 286?
283
What is the remainder when 927 is divided by 62?
59
Calculate the remainder when 52 is divided by 28.
24
Calculate the remainder when 265 is divided by 68.
61
Calculate the remainder when 535 is divided by 8.
7
Calculate the remainder when 406 is divided by 191.
24
What is the remainder when 322 is divided by 19?
18
What is the remainder when 588 is divided by 31?
30
Calculate the remainder when 745 is divided by 252.
241
Calculate the remainder when 90 is divided by 28.
6
What is the remainder when 963 is divided by 317?
12
What is the remainder when 2287 is divided by 12?
7
What is the remainder when 400 is divided by 101?
97
What is the remainder when 174 is divided by 25?
24
What is the remainder when 3856 is divided by 102?
82
Calculate the remainder when 135 is divided by 23.
20
Calculate the remainder when 41 is divided by 20.
1
What is the remainder when 43 is divided by 15?
13
What is the remainder when 1161 is divided by 27?
0
What is the remainder when 254 is divided by 15?
14
Calculate the remainder when 1725 is divided by 32.
29
What is the remainder when 61 is divided by 47?
14
Calculate the remainder when 166 is divided by 34.
30
Calculate the remainder when 8314 is divided by 198.
196
Calculate the remainder when 135 is divided by 20.
15
Calculate the remainder when 989 is divided by 124.
121
What is the remainder when 976 is divided by 319?
19
What is the remainder when 129 is divided by 94?
35
What is the remainder when 1093 is divided by 120?
13
What is the remainder when 115 is divided by 29?
28
What is the remainder when 476 is divided by 90?
26
What is the remainder when 174 is divided by 11?
9
What is the remainder when 1013 is divided by 271?
200
What is the remainder when 43581 is divided by 24?
21
What is the remainder when 493 is divided by 20?
13
Calculate the remainder when 313 is divided by 306.
7
Calculate the remainder when 257 is divided by 3.
2
What is the remainder when 2373 is divided by 36?
33
What is the remainder when 524 is divided by 15?
14
What is the remainder when 1831 is divided by 47?
45
What is the remainder when 312 is divided by 45?
42
Calculate the remainder when 3427 is divided by 84.
67
What is the remainder when 1497 is divided by 496?
9
Calculate the remainder when 4101 is divided by 52.
45
Calculate the remainder when 560 is divided by 17.
16
Calculate the remainder when 334 is divided by 3.
1
Calculate the remainder when 71 is divided by 9.
8
Calculate the remainder when 435 is divided by 11.
6
What is the remainder when 844 is divided by 48?
28
Calculate the remainder when 113 is divided by 2.
1
What is the remainder when 20 is divided by 15?
5
What is the remainder when 1986 is divided by 51?
48
What is the remainder when 2841 is divided by 49?
48
Calculate the remainder when 807 is divided by 30.
27
Calculate the remainder when 1057 is divided by 133.
126
What is the remainder when 483 is divided by 139?
66
Calculate the remainder when 774 is divided by 111.
108
Calculate the remainder when 1344 is divided by 12.
0
Calculate the remainder when 768 is divided by 56.
40
What is the remainder when 130569 is divided by 324?
321
What is the remainder when 111 is divided by 6?
3
Calculate the remainder when 1133 is divided by 137.
37
Calculate the remainder when 2547 is divided by 7.
6
Calculate the remainder when 133 is divided by 66.
1
What is the remainder when 17279 is divided by 24?
23
Calculate the remainder when 51 is divided by 4.
3
Calculate the remainder when 522 is divided by 44.
38
What is the remainder when 942 is divided by 56?
46
What is the remainder when 211 is divided by 97?
17
Calculate the remainder when 517 is divided by 65.
62
What is the remainder when 496 is divided by 95?
21
Calculate the remainder when 14256 is divided by 31.
27
What is the remainder when 395 is divided by 44?
43
What is the remainder when 730 is divided by 17?
16
Calculate the remainder when 2005 is divided by 668.
1
What is the remainder when 213 is divided by 178?
35
Calculate the remainder when 166 is divided by 13.
10
What is the remainder when 526 is divided by 53?
49
What is the remainder when 14103 is divided by 164?
163
What is the remainder when 622 is divided by 21?
13
What is the remainder when 502 is divided by 12?
10
Calculate the remainder when 2573 is divided by 46.
43
Calculate the remainder when 62 is divided by 34.
28
What is the remainder when 283 is divided by 58?
51
Calculate the remainder when 1048 is divided by 27.
22
What is the remainder when 987 is divided by 82?
3
Calculate the remainder when 321 is divided by 6.
3
Calculate the remainder when 2619 is divided by 866.
21
What is the remainder when 2568 is divided by 23?
15
What is the remainder when 738 is divided by 62?
56
Calculate the remainder when 657 is divided by 94.
93
Calculate the remainder when 669 is divided by 16.
13
Calculate the remainder when 288 is divided by 216.
72
What is the remainder when 193 is divided by 7?
4
What is the remainder when 2330 is divided by 11?
9
What is the remainder when 399 is divided by 190?
19
Calculate the remainder when 105 is divided by 27.
24
Calculate the remainder when 456 is divided by 15.
6
Calculate the remainder when 102 is divided by 90.
12
What is the remainder when 69 is divided by 5?
4
What is the remainder when 154 is divided by 39?
37
Calculate the remainder when 422 is divided by 106.
104
Calculate the remainder when 231 is divided by 10.
1
What is the remainder when 164 is divided by 56?
52
What is the remainder when 574 is divided by 101?
69
What is the remainder when 580 is divided by 81?
13
Calculate the remainder when 51 is divided by 20.
11
What is the remainder when 801 is divided by 22?
9
What is the remainder when 5776 is divided by 68?
64
Calculate the remainder when 82 is divided by 66.
16
Calculate the remainder when 766 is divided by 49.
31
Calculate the remainder when 4653 is divided by 97.
94
What is the remainder when 329 is divided by 33?
32
Calculate the remainder when 63 is divided by 4.
3
Calculate the remainder when 23 is divided by 13.
10
What is the remainder when 50 is divided by 17?
16
What is the remainder when 391 is divided by 27?
13
What is the remainder when 290 is divided by 62?
42
What is the remainder when 159 is divided by 85?
74
Calculate the remainder when 42 is divided by 25.
17
Calculate the remainder when 330 is divided by 84.
78
What is the remainder when 2079 is divided by 52?
51
Calculate the remainder when 511 is divided by 12.
7
What is the remainder when 10045 is divided by 16?
13
What is the remainder when 249 is divided by 70?
39
What is the remainder when 988 is divided by 62?
58
Calculate the remainder when 13223 is divided by 152.
151
What is the remainder when 52944 is divided by 31?
27
Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -4 in decreasing order.
1, a, -4
Let l = -18.14 + 2.04. Let r = l - -16. Put -3/2, r, -1/3 in increasing order.
-3/2, -1/3, r
Suppose 8*m + 158 - 54 = 0. Suppose -6*s + 50 = -s. Let h = m + s. Sort h, 2, -5 in descending order.
2, h, -5
Let o = 13 + -42. Let q = -25 - o. Suppose 3 = x - 0*x. Put 0, x, q in decreasing order.
q, x, 0
Let p = 299 + -297. Sort p, 216, 0 in increasing order.
0, p, 216
Let r = -93 + 99.2. Sort r, 6/11, -0.3.
-0.3, 6/11, r
Let x = -78.7 + 76.7. Put 1, -0.7, 0.4, x in descending order.
1, 0.4, -0.7, x
Let g = -741 - -741. Sort g, -5, 1, -13 in increasing order.
-13, -5, g, 1
Let i be 2*3/((-12)/(-14)). Suppose -4*k - 4*d - 4 = 0, -11*k + 9*k - 2 = 4*d. Let q be k/(-2)*(i - 1). Sort 0, q, 5.
0, q, 5
Let r = 0.74 + -0.5. Let u = r + -0.04. Let y = -0.6 - 0.4. Sort y, -1/2, u in ascending order.
y, -1/2, u
Let y = 30 + -18. Let d be (1/2)/((-3)/y). Let q = 0.04 + 0.26. Sort q, 0.5, d in ascending order.
d, q, 0.5
Suppose -5*c + 318 = t, c = t + 14 + 46. Sort -2, 0.2, c.
-2, 0.2, c
Suppose 0 = -2*f + 5*r - 14, -10*f + 6*f - r + 16 = 0. Sort -32, -2, f in ascending order.
-32, -2, f
Suppose 20*o + 355 = 15*o. Let r be o/6 - 5*(-1)/(-30). Sort 2, -3, r.
r, -3, 2
Let a be 158 + 1 + (2 - 4). Let i = a - 155. Suppose -v + 6*v = 0. Sort i, 3, v.
v, i, 3
Suppose -5 = 4*t + t. Let v be (6/36)/(4/12*-1)*4. Sort t, 26, v in ascending order.
v, t, 26
Let a = -45 + 49. Suppose 0 = -3*c - 4*l + 19, -2*c = -l + a - 13. Sort c, 0.3, 0.2, -56 in descending order.
c, 0.3, 0.2, -56
Suppose -107*x + 12 = -104*x - 3*j, -2*x = -j - 6. Put 12, -3, 4, x in decreasing order.
12, 4, x, -3
Suppose -f = -0*f + 2. Let t be 4/5*25/(-10). Let l be (1/t)/((-4)/1). Sort f, 0.1, l in descending order.
l, 0.1, f
Let r be (2/(-8))/(1/8*-2). Sort -3, r, -1 in increasing order.
-3, -1, r
Let x(k) = k + 20. Let s be x(-17). Suppose -4*j - s*j = 28. Let h = 1/22 + 16/11. Sort -5, h, j in descending order.
h, j, -5
Let u = -0.011 + 0.611. Let s = 4.4 + u. Let j = 0.1 + -0.2. Put s, 0.05, j in decreasing order.
s, 0.05, j
Let d = -38 + 40. Suppose -2*y = d*c - 12, 6 = 5*c + y - 20. Suppose 4*r = -17 + c. Sort -5, 0, r in descending order.
0, r, -5
Let c be 6/28*455/130. Sort -4, c, 2/3, -0.05.
-4, -0.05, 2/3, c
Let z(q) = 2*q**2 - 44*q - 43. Let a be z(-1). Sort 5, a, 105 in increasing order.
a, 5, 105
Let v be ((-44)/(-550))/(12/(-10))*-2. Put v, -2, -2/13 in ascending order.
-2, -2/13, v
Suppose -3*l + 8*r - 42 = 3*r, -2*l = -4*r + 26. Let o = l + 23. Put o, -4, 0 in descending order.
o, 0, -4
Let y = 8192 + -8195. Let f = -11/5 - -67/35. Let l = -13/21 - f. Sort y, l, 0.1.
y, l, 0.1
Let m = -769 - -770. Suppose 3*q - 51 = -0*q. Suppose q - 2 = -5*z. Sort z, m, 5 in decreasing order.
5, m, z
Let v = 220/3 - 74. Put 3, 0, -0.04, v in ascending order.
v, -0.04, 0, 3
Let j = -1024 + 1029. Sort 15, -2, j in increasing order.
-2, j, 15
Let x = -376 - -380. Let c be (12/(-10))/((-63)/60). Put c, x, 3 in descending order.
x, 3, c
Suppose 0 = -v + 5*o + 18, -5*v + 10*v = -4*o - 55. Put 1, v, 6 in increasing order.
v, 1, 6
Let r = 23.56 - -0.44. Let c = r - 24.6. Let m = -0.3 - c. Sort 1, m, -3 in decreasing order.
1, m, -3
Let h be (-2)/4*(10792/1064 + (-2)/14). Suppose 0 = -0*g + g. Put h, 5, g, -1 in ascending order.
h, -1, g, 5
Let k = 931 - 926. Suppose -3 = -3*b - 2*y - 5, -2*y - 2 = -5*b. Put -4, b, k, -8 in ascending order.
-8, -4, b, k
Let k be (-26 - (-931)/38) + (-6)/(-4). Suppose -5 = -3*h + 4*o, 0 = 4*h - o + 5*o + 12. Sort k, h, 1, -3.
-3, h, k, 1
Let j be ((-4)/(-2))/((-10)/15). Let z = -356.7 + 352.7. Let f = 5.3 - 5. Sort f, z, j in increasing order.
z, j, f
Let y = 16.9 + -27.9. Sort 3/5, -16, y.
-16, y, 3/5
Let d = 178.8 + -179. Sort d, -0.7, 0.3 in decreasing order.
0.3, d, -0.7
Let q(x) = 66*x + 57. Let s be q(-1). Put 5, s, 2 in descending order.
5, 2, s
Let k = 2086 - 2103. Put -4, k, -0.4 in descending order.
-0.4, -4, k
Let y(s) = -s**2 - 13*s + 24. Let f be y(-14). Put 2, f, 4 in descending order.
f, 4, 2
Let t be 0/(-3) + -2 + -4 + 7. Put 177, t, 3 in decreasing order.
177, 3, t
Suppose -5*v - 5 - 2 = -2*c, 2*v + 14 = -2*c. Suppose 0 = -4*a + 6 - 30. Let m = a + 3. Sort 7, m, c in ascending order.
c, m, 7
Let q = -13.27 - -10.27. Put
|
{
"pile_set_name": "DM Mathematics"
}
|
11)) assuming d is positive.
d**(50/33)
Simplify y**(-6/11)/(y*(y/(y**(1/4)*y))/y*y)*y*y*y**(-4)*y*y/(y/y**2)*y assuming y is positive.
y**(31/44)
Simplify (k*k*k**(-3)*k)**(-1/54)*(k/(k**(7/4)*k))/(k/(k/(k/(k/k**(-6)*k*k)))) assuming k is positive.
k**(25/4)
Simplify t*(t/(t*(t*t**(-26/3)*t)/t*t*t))/t*t/t**27*t*(t*t/(t*t/t**(5/2)))**(-7) assuming t is positive.
t**(-221/6)
Simplify (c**2)**(7/6)/((c**(1/16)*c)/(c/(c*c/c**6))) assuming c is positive.
c**(301/48)
Simplify (n/n**(-9)*n/(n/(n/(n**(1/4)/n))))/(n/(n**(-8)/n)*n**14) assuming n is positive.
n**(-49/4)
Simplify (x**(2/25)/x*x**(-4/9)*((x/x**(2/3))/x)**(-37))**(1/5) assuming x is positive.
x**(5243/1125)
Simplify (m**(-5/7)/(m*m/(m**(1/2)*m)))/(m**4)**(-9) assuming m is positive.
m**(487/14)
Simplify j**(-12)*j**8/j*(j*j/j**(3/7))/(j*j**(1/7)*j) assuming j is positive.
j**(-39/7)
Simplify ((x**6/x*x**8)**18)**38 assuming x is positive.
x**8892
Simplify (a**(-18)/a)/a**(28/9)*a**(5/2)/(a/a**(11/5)) assuming a is positive.
a**(-1657/90)
Simplify (r**(-1/9)*r)/r*(r**(-8)/r)/r*((r/(r/(r/(r/(r**(8/7)/r)))))/r)/r**(1/32) assuming r is positive.
r**(-22175/2016)
Simplify (((z/(z/(z/((z*(z/(z**(-2/7)/z))/z)/z))))/z)**(-28)/(z**(1/9)/((z**(1/3)*z*z)/z)))**(2/37) assuming z is positive.
z**(670/333)
Simplify k**22*k/(k*k**21)*k/(((k*k**(1/37))/k)/k)*k*k**30*k assuming k is positive.
k**(1294/37)
Simplify (x/((x**(1/4)/x)/x))**(-8)/(((x**(7/3)/x)/x)/x**(-4)) assuming x is positive.
x**(-79/3)
Simplify (k**(-6)/k*k/(k*k**(-1/6)*k)*(k**(2/7))**2)**(1/18) assuming k is positive.
k**(-305/756)
Simplify (v/(v**3/v))**(-1/2)*(v**(-2/7)*v)/((v*v*v/(v**(1/6)/v*v)*v)/v*v) assuming v is positive.
v**(-55/21)
Simplify u**(-1/4)/(u/(u/u**(-4/13)*u))*(u**(-2))**(4/29) assuming u is positive.
u**(1179/1508)
Simplify (c**0)**(-18)/((c**(-3/8)*c)/(c**(-14)*c)) assuming c is positive.
c**(-109/8)
Simplify ((o**7*o*o*o*(o/o**(-11))/o)/(o/(o/o**(1/6)))**(-2/3))**(-37) assuming o is positive.
o**(-7030/9)
Simplify (f*f**18*f**2*f)**(-1/25) assuming f is positive.
f**(-22/25)
Simplify (d**12*d**(7/2)*d)/(d**(4/3))**30 assuming d is positive.
d**(-47/2)
Simplify ((l*l*l**(4/7)*l)/l**(-1/4))/((l*l**(-9))/(l*(l**(-13)/l*l)/l)) assuming l is positive.
l**(-33/28)
Simplify (c**(6/7)*c*c**13)/(c**4*c**(-2/33)) assuming c is positive.
c**(2522/231)
Simplify (i**(1/10)/(i**2*i))/((i/i**(1/7))/i**(-3)) assuming i is positive.
i**(-473/70)
Simplify (t**(2/25)*t**(3/4)*t)/(t/(t*t/(t**4*t*t))*t/((t**(-6/7)/t)/t)) assuming t is positive.
t**(-4919/700)
Simplify h**(-13)/h*h**(-2/17)*h*(h/(h/(h/((h/h**(-2/53))/h))))**(-2) assuming h is positive.
h**(-13553/901)
Simplify (q**(-9/4)*q*q**(5/4)*q)/(((q*q**(2/7))/q)/(q**(-5)/q)) assuming q is positive.
q**(-37/7)
Simplify (p**(-13)/p**(3/17))/((p**(-21)/p*p)/p**(3/22)) assuming p is positive.
p**(2977/374)
Simplify (n/n**(8/7))**21/(n*((n/n**9)/n)/n*n*n**(-17)) assuming n is positive.
n**22
Simplify (((g**(1/4)/g)/(g*g**(-9)))/(((g/g**(-2/5))/g)/(g/(g*g**7))))**(-26/7) assuming g is positive.
g**(39/70)
Simplify (((l*l**(-1)*l)**(-9/5))**(1/2))**(-1/11) assuming l is positive.
l**(9/110)
Simplify ((w**(2/3))**(-40)*(w*w**(-2/3))/(w**(-4)/w))**(-2/79) assuming w is positive.
w**(128/237)
Simplify (((s**(-1/4)*s)/s*s)**(-19)/(s*s**3/s*s**(-1/3)))**(4/13) assuming s is positive.
s**(-203/39)
Simplify (z*z**(1/3)*z/(((z*z**6)/z*z*z)/z))/(z**(-7/3)*z*z/z**(-8)) assuming z is positive.
z**(-37/3)
Simplify (m**(-3)/m)**(2/3)*(m*m**(1/6)*m)/(m/(m/(m/(m**(-11)*m)))) assuming m is positive.
m**(-23/2)
Simplify (((a*a/(a*a*a/(a*a**(-2)/a)))/a)**(2/39)*(a**1)**1)**(1/21) assuming a is positive.
a**(31/819)
Simplify ((q/(q*q**(-10)))/(q**(1/4)*q))/(q**(-2/7))**(1/25) assuming q is positive.
q**(6133/700)
Simplify (((r/r**(1/10))/r)/r)**(2/31)*(r/r**(6/5))**36 assuming r is positive.
r**(-1127/155)
Simplify (a*(a*a**0)/a)**(-16)/((a/a**(2/7))/(a*a**(-3/7))) assuming a is positive.
a**(-113/7)
Simplify ((o/(o/o**(-5))*o)/o)**17/(o**(1/5))**(20/3) assuming o is positive.
o**(-259/3)
Simplify ((v**(1/2)*v)/v**(2/7)*(v**1)**43)**(1/3) assuming v is positive.
v**(619/42)
Simplify ((f/((f/(f*f**(-1/14))*f)/f)*f)/(f**(-6)*f))/(f*f*f*f**(-1/5)*f**(-5)) assuming f is positive.
f**(639/70)
Simplify (g**(-3)/g**(6/13))/((g/(g*g**(-3/5)))/(g/(g**(1/3)/g))) assuming g is positive.
g**(-467/195)
Simplify (m/m**15)**8*(m**(1/61)/m)/(m*m*m*m**(5/3)*m) assuming m is positive.
m**(-21713/183)
Simplify ((p*p**(-5/6)*p*p/p
|
{
"pile_set_name": "DM Mathematics"
}
|
value? (a) -13 (b) -5 (c) 24
a
Which is the second biggest value? (a) -6/11 (b) -3 (c) 0 (d) -1
a
Which is the second smallest value? (a) 1/3 (b) 1 (c) 0.3 (d) 9 (e) 3
a
Which is the second biggest value? (a) -0.24 (b) -1 (c) 2/7
a
What is the second biggest value in 0.5, -4, 5, 0.1?
0.5
Which is the third biggest value? (a) 1.4 (b) -5 (c) 2.7 (d) 2 (e) 0
a
What is the third smallest value in 6, -5, -51?
6
What is the second biggest value in -5, 1.17, 4/7, -0.5?
4/7
What is the third smallest value in 5, -0.3, -77, -1/6?
-1/6
What is the third biggest value in -0.4, 181, -5/4, 4?
-0.4
Which is the second biggest value? (a) 5 (b) -8 (c) 4
c
Which is the fifth biggest value? (a) 0.4 (b) 0.1 (c) -5/6 (d) -6 (e) 15/7
d
Which is the second smallest value? (a) -1 (b) -2.3 (c) 3 (d) 0.3 (e) 4
a
What is the smallest value in 0.1, -0.3, -10, -1?
-10
What is the third smallest value in -0.05, -2, -0.3?
-0.05
What is the third smallest value in -1/5, -3/4, 5, 3/8?
3/8
What is the second smallest value in -1, -7, -2/9, 0.1, 0.02?
-1
Which is the fourth smallest value? (a) 3 (b) -1/5 (c) 114 (d) 0.2
c
What is the second biggest value in 4, -2/11, -95, 2/9?
2/9
Which is the third biggest value? (a) -1/5 (b) 2/313 (c) -2
c
What is the third smallest value in -2, 2, -0.5, -8?
-0.5
Which is the biggest value? (a) -0.71 (b) 0 (c) 5
c
What is the smallest value in -0.07, -2/7, -0.3, 0.2?
-0.3
Which is the third smallest value? (a) -129 (b) -0.4 (c) 5 (d) -0.5 (e) 4
b
Which is the third smallest value? (a) 7 (b) 0.3 (c) -2 (d) 3/5
d
What is the third smallest value in -1, 19, 0, -2/19?
0
What is the second biggest value in 4, -3, 9, -0.4?
4
What is the third biggest value in 58, 3, -5?
-5
What is the biggest value in -4, 3, 0, 0.1?
3
Which is the third biggest value? (a) -1542 (b) 2/5 (c) 1/3
a
Which is the third biggest value? (a) -249/4 (b) -0.2 (c) 1/5
a
What is the third smallest value in -0.08, 0.31, -0.3?
0.31
Which is the third biggest value? (a) 113 (b) 0.1 (c) 0.08
c
What is the biggest value in 0.5, -0.4, 46, -1/8?
46
What is the third biggest value in -3, -5, -191/4?
-191/4
What is the second smallest value in -1/3, -0.16, -0.11, -0.1?
-0.16
What is the second smallest value in -1/2, 5, -36, 10?
-1/2
Which is the biggest value? (a) -24 (b) 1 (c) 0 (d) -2/11
b
What is the second biggest value in 1, 0.324, -2, 0.5?
0.5
What is the third smallest value in -2/7, -4, 1/2, -13?
-2/7
What is the fourth smallest value in 2/3, -5, 2/11, -1/4?
2/3
Which is the smallest value? (a) -1/5 (b) 82/5 (c) -3 (d) 0.3
c
What is the third smallest value in 93, 0.4, 2/11, -2, 3?
0.4
Which is the second smallest value? (a) -3/8 (b) -2033 (c) -4
c
Which is the second smallest value? (a) 0 (b) -2 (c) -1 (d) 0.02 (e) 0.9
c
What is the third biggest value in 1/5, 4, -2/41?
-2/41
What is the second biggest value in 0, 1, -2?
0
Which is the smallest value? (a) -0.2 (b) -3/4 (c) 3 (d) -2/9 (e) -52
e
Which is the fourth smallest value? (a) 2/19 (b) 1/10 (c) -0.109 (d) 4
d
What is the biggest value in -2/7, 3, 1/4, -1, 0.2?
3
Which is the third smallest value? (a) 17 (b) 0.06 (c) -6
a
What is the second biggest value in -0.04, 11/2, 0.3, 0?
0.3
Which is the third biggest value? (a) -0.4 (b) 2 (c) 0 (d) -36
a
Which is the smallest value? (a) -3/14 (b) 2 (c) -0.1
a
What is the second biggest value in 0.3, -0.4, 0, 4?
0.3
What is the third smallest value in 15.1, 0.3, 4?
15.1
What is the third smallest value in -4/3, -4, 56, 0.1?
0.1
Which is the second smallest value? (a) 44/7 (b) -1/9 (c) -1
b
What is the third smallest value in 33, -5/4, -4, 0.1?
0.1
What is the second biggest value in 4, -66, -2/5?
-2/5
What is the second biggest value in -0.1, 6/71, -3?
-0.1
Which is the biggest value? (a) -1 (b) 63 (c) 1/7
b
What is the biggest value in -2/7, -380, -3/4?
-2/7
Which is the third smallest value? (a) -1/6 (b) -90 (c) 2
c
Which is the fourth smallest value? (a) -1 (b) -0.68 (c) 2/9 (d) 1/4
d
Which is the fourth smallest value? (a) 61 (b) 2/9 (c) -1/3 (d) -0.086
a
Which is the fourth biggest value? (a) -2/7 (b) 5 (c) 1 (d) -2
d
Which is the third smallest value? (a) -0.04 (b) -0.5 (c) -2.2 (d) -2
b
What is the fifth smallest value in 3, 2/15, -0.4, 19, -0.03?
19
What is the second smallest value in 0.228, -4, 1?
0
|
{
"pile_set_name": "DM Mathematics"
}
|
denominator of 1368/171 + 0 + 789/(-110) and 91/836?
4180
Let n = 1024525/138 - 7424. Find the common denominator of -39/37 and n.
5106
Suppose 4*p - 250 = -3*c, 5*p + 8 = c - 107. Calculate the least common multiple of c and 280.
2520
Suppose -56*c + 51*c = -255. Calculate the lowest common multiple of (-81)/(-12)*(-136)/(-51) and c.
306
Let p be ((-1264)/(-40))/((-1)/(-5)). Suppose p - 5 = -3*w. Let q = 55 + w. What is the smallest common multiple of q and 3?
12
Let t(f) = -11*f - 48. Let l be t(-4). What is the common denominator of (-142)/(-12) - l/(-20)*10 and -22/57?
114
Let u = -3797/1500 - -56/125. What is the common denominator of u and -31/417?
1668
Let b = 1431743909/36 - 39765085. Let q = b - 5580. Calculate the common denominator of -139/36 and q.
36
Let d = -189 + 267. Suppose f + d - 134 = 0. What is the smallest common multiple of 32 and f?
224
Let r = -1/1533879 + 48340196693/12271032. Let a = r - 3946. Let p = -10575/44 - -965/4. Find the common denominator of a and p.
88
Let l(a) = a**2 + 27*a + 58. Let x be l(-24). Let w = -13 - x. Suppose 51 - w = 5*t. What is the smallest common multiple of t and 7?
70
Let t(a) = -17*a + 3089. Calculate the smallest common multiple of t(97) and 2640.
15840
Calculate the common denominator of (-5 + 2 + 6)*(6559/(-6732) + 1) and 115/18.
6732
Let a(k) = 23*k - 324. Let g be a(24). Suppose 6*u - 3*u = g. What is the least common multiple of u and 22?
836
Let h = -64215 - -36859377/574. What is the common denominator of h and -24/77?
6314
Let c = -117 - -119. Suppose y = -3*k + 1455, 9*y = 3*k + 5*y - 1440. Calculate the smallest common multiple of k and c.
484
Let r = 224 - 222. Find the common denominator of (180/27 - -7) + r/4 and -25/6.
6
Let f = 23026/45 + -511. Let v = -8011 - -280319/35. What is the common denominator of v and f?
315
Let f(b) = 72*b**2 - b - 2. Let p(w) = -143*w**2 + w + 5. Let h(m) = 7*f(m) + 3*p(m). What is the least common multiple of 6 and h(1)?
72
Let q(l) = l**3 + 6*l**2 - 4*l + 1. Let n be q(-6). Let f be n*(((-34)/10 - -3) + 2). Suppose 11*k = 7*k + f. What is the lowest common multiple of 8 and k?
40
What is the common denominator of ((-550)/2128)/5 + 302/2869 and 1141/(-336) + (-4)/6?
112
Let r be 21/(-6)*120/210. Calculate the lowest common multiple of 8 and (-236)/r - 20/(-10).
120
Let x = -23333 - -746567/32. Let o = -999669/380 + 13159/5. What is the common denominator of o and x?
608
Let a = -118549/18039 - -1/2577. Let u be -2 + (-11935)/(-2980) + -2. Let p = u - 2101/2980. Calculate the common denominator of p and a.
70
Let o be 1/(-2) + (-65)/(-26) - -14316. Let t = o + -372331/26. Find the common denominator of t and 19/22.
286
Let v = -12654269/29223264 + -2/130461. Let j = 171757/20 - 8585. Find the common denominator of j and v.
1120
Suppose 4*g = -14*y + 13*y + 676, 4*g - 3*y = 676. Suppose -i - 371 = -4*u, g = 5*u - 3*u + 5*i. Calculate the lowest common multiple of 10 and u.
460
Let r = 1410 - 25355/18. Suppose -441789 = -24*q + 132795. Let h = q - 430813/18. Find the common denominator of r and h.
18
Suppose -3*v - 34 = 4*f - 104, 0 = -f + 4. What is the least common multiple of (-7960)/(-110) - 54 - (14/(-22) - -1) and v?
18
Let q be (-2)/(-1)*2 + 0 + 0. Let k be 4/(-2 + 9/q). What is the lowest common multiple of 10 and ((-27)/12)/((-6)/k)?
30
Find the common denominator of -17/48 and (-2185)/(-13440) - (-7)/(-14) - (-6)/14.
384
Suppose 5*j - 939 = 826. Calculate the least common multiple of 8 and (-78)/104*(1 - j).
264
Let b(o) = 20*o**3 + 12*o**2 - 74*o + 144. What is the lowest common multiple of 528 and b(4)?
2640
Let r = 18965/462 - 835/21. Find the common denominator of r and 7 - (-25)/2275*-949.
462
Suppose -38 + 20 = -2*k. Suppose k*o + 18 = 10*o. Suppose -15*x + o = -14*x. What is the lowest common multiple of x and 8?
72
Let g = 6322651/6 - 1049461. Let s = -4326 + g. Calculate the common denominator of s and 8 - (-1209)/(-26) - 2.
6
Let q(j) = 31*j - 284. What is the lowest common multiple of q(12) and 396?
792
Let o(n) = -n**2 - 14*n - 36. Let v be o(-11). Let k(x) = -x**2 - 5*x - 4. Let s be k(v). Calculate the smallest common multiple of ((-8)/6)/(s/(-63)*3) and 2.
14
Let g = -623/180 - -107/20. Let v be 26/18 - (-1 - 2/(-1)). Let x = g + v. Find the common denominator of -81/4 and x.
12
Suppose 7 = 7*p - 15 - 13. What is the least common multiple of p and 8854?
44270
Suppose 485*w + 388 = 5*f + 488*w, 2*f = -2*w + 156. What is the lowest common multiple of f and 341?
2387
Let r = 1611/760 + -36/19. Find the common denominator of -129/1520 and r.
1520
Let t = -10 + 40. Calculate the lowest common multiple of t and 10 - -3 - 783/(-27).
210
Suppose -4*p + 2*n = -6*p + 22, 4*n - 18 = -2*p. Let i = 25355/23 + -1102. What is the common denominator of i and p?
23
Let n = -468 + -27. Let o = -485 - n. What is the smallest common multiple of 80 and o?
80
Suppose -11553*s + 11551*s = -58. Let k = 3 + -8. What is the smallest common multiple of (25/k + s)/1 and 18?
72
Let z = -131770 + 14758133/112. What is the common denominator of -57/196 and z?
784
Suppose 222 = -3*l - 66. What is the common denominator of 93/94 and 2*(-243)/l + (-12)/3?
752
Calculate the common denominator of 164/8*(-2)/(-15) and -5 - ((-144)/34 + 61/366).
510
What is the common denominator of 2/5 and (-42)/42*2/7 - 194/105?
15
Let t = 4/8643 - -34352
|
{
"pile_set_name": "DM Mathematics"
}
|
ltttxxxt.
1/60
What is prob of sequence lgg when three letters picked without replacement from {g: 2, l: 3}?
1/10
Three letters picked without replacement from aaaaaaaajjjajajjjjjj. What is prob of sequence ajj?
5/38
Four letters picked without replacement from {r: 2, d: 4, c: 1}. What is prob of sequence rcrd?
1/105
Two letters picked without replacement from {a: 5, z: 2, n: 2, f: 7, p: 4}. Give prob of sequence zn.
1/95
What is prob of sequence vzh when three letters picked without replacement from zhpgghvvvgpddpg?
1/455
Calculate prob of sequence ody when three letters picked without replacement from {o: 3, y: 2, d: 3, r: 7}.
3/455
Calculate prob of sequence mq when two letters picked without replacement from moqoqm.
2/15
Calculate prob of sequence yt when two letters picked without replacement from ptuyx.
1/20
Three letters picked without replacement from {v: 3, b: 6, t: 1, f: 3, o: 2}. What is prob of sequence obv?
6/455
Calculate prob of sequence ee when two letters picked without replacement from uefeefueefefef.
3/13
Calculate prob of sequence zzas when four letters picked without replacement from {s: 1, m: 3, q: 2, g: 8, a: 1, z: 3}.
1/12240
Three letters picked without replacement from ixxe. Give prob of sequence xxe.
1/12
Two letters picked without replacement from {g: 3, v: 4, x: 1, l: 8, q: 1}. Give prob of sequence gx.
3/272
What is prob of sequence aaaj when four letters picked without replacement from jaaaaamajjjaj?
35/572
Three letters picked without replacement from {y: 1, f: 1, d: 1}. What is prob of sequence ydf?
1/6
What is prob of sequence cj when two letters picked without replacement from {p: 6, c: 5, n: 3, j: 5, f: 1}?
5/76
Four letters picked without replacement from vaavtiiavvtavaaaiii. Give prob of sequence tiit.
5/11628
What is prob of sequence qqw when three letters picked without replacement from wwwwwwqwqww?
1/55
What is prob of sequence vx when two letters picked without replacement from {l: 2, v: 3, u: 1, x: 1}?
1/14
Two letters picked without replacement from azzzxazaozzooo. Give prob of sequence az.
9/91
Calculate prob of sequence dtb when three letters picked without replacement from vibvttbvdirv.
1/330
Two letters picked without replacement from aaaaakaaakkakaakaa. Give prob of sequence aa.
26/51
Calculate prob of sequence ku when two letters picked without replacement from tssuttukutku.
2/33
Two letters picked without replacement from xzjzxjxxjxxxzxzx. Give prob of sequence xx.
3/10
Four letters picked without replacement from {d: 2, t: 5, c: 3, f: 7}. Give prob of sequence tddt.
1/1428
What is prob of sequence oo when two letters picked without replacement from {k: 1, o: 3}?
1/2
What is prob of sequence pvvv when four letters picked without replacement from {p: 1, v: 7}?
1/8
Two letters picked without replacement from {d: 1, r: 1, c: 3, x: 2}. What is prob of sequence xx?
1/21
Two letters picked without replacement from pwwwpvwwwewv. Give prob of sequence ev.
1/66
Three letters picked without replacement from dkwkddkkryrakr. What is prob of sequence yak?
5/2184
Two letters picked without replacement from {x: 3, i: 3, g: 5, k: 2, h: 3}. What is prob of sequence gi?
1/16
Calculate prob of sequence gm when two letters picked without replacement from mmcmmcggmmmm.
4/33
Three letters picked without replacement from {c: 2, j: 1, k: 5, b: 1, n: 11}. Give prob of sequence nkn.
55/684
What is prob of sequence nnnn when four letters picked without replacement from nnnnnnnnn?
1
Four letters picked without replacement from {x: 7, q: 2}. What is prob of sequence qxxq?
1/36
Two letters picked without replacement from {u: 2, w: 2, l: 1}. What is prob of sequence uw?
1/5
Three letters picked without replacement from {h: 2, m: 1, f: 1}. What is prob of sequence mhf?
1/12
Four letters picked without replacement from {u: 2, g: 5, o: 5, j: 2, c: 2, y: 1}. What is prob of sequence ccgo?
5/5712
Four letters picked without replacement from {f: 13, e: 6}. Give prob of sequence ffee.
65/1292
What is prob of sequence nqu when three letters picked without replacement from quupuqpqnuunqkuuqnq?
7/323
Two letters picked without replacement from zppvppzpzzpzppzpppz. What is prob of sequence pp?
55/171
What is prob of sequence hhch when four letters picked without replacement from cccccccchcchccccccch?
1/1140
Calculate prob of sequence xxsn when four letters picked without replacement from nsnnnnscnxcnxnxsnn.
1/408
Calculate prob of sequence lbl when three letters picked without replacement from {b: 9, l: 10}.
45/323
What is prob of sequence dyd when three letters picked without replacement from dppppdypyyppppp?
1/455
Calculate prob of sequence fw when two letters picked without replacement from {w: 11, f: 3}.
33/182
What is prob of sequence auu when three letters picked without replacement from {w: 7, c: 4, a: 2, u: 4, l: 1, k: 1}?
4/969
Calculate prob of sequence xoz when three letters picked without replacement from zozxx.
1/15
What is prob of sequence yy when two letters picked without replacement from {o: 4, y: 2, t: 1, q: 1}?
1/28
What is prob of sequence bob when three letters picked without replacement from {o: 6, b: 2, s: 11}?
2/969
Calculate prob of sequence tn when two letters picked without replacement from {p: 1, n: 1, t: 17}.
17/342
Calculate prob of sequence cc when two letters picked without replacement from {c: 5, v: 5}.
2/9
What is prob of sequence kj when two letters picked without replacement from {s: 1, d: 9, k: 2, j: 1}?
1/78
What is prob of sequence hvvh when four letters picked without replacement from hvvvvvovvhhhv?
28/715
Three letters picked without replacement from kqeqeeefeweeqvewee. What is prob of sequence wve?
5/1224
What is prob of sequence cmmj when four letters picked without replacement from {c: 7, j: 2, m: 3}?
7/990
Two letters picked without replacement from fuuyy. Give prob of sequence uf.
1/10
Two letters picked without replacement from ppxxqqpyypxqqqyqyxxp. What is prob of sequence qx?
3/38
What is prob of sequence mmx when three letters picked without replacement from {m: 2, x: 1, i: 1, d: 1}?
1/30
Three letters picked without replacement from mpvpmpliavv. What is prob of sequence amv?
1/165
What is prob of sequence uhuu when four letters picked without replacement from hhhhhuhuuhhh?
1/220
Two letters picked without replacement from {y: 1, l: 5, a: 1, i: 1, z: 1}. What is prob of sequence az?
1/72
Two letters picked without replacement from inruriinia. Give prob of sequence ii.
2/15
What is prob of sequence cch when three letters picked without replacement from ccgghhhgggggghgh?
1/336
Four letters picked without replacement from {h: 2, t: 9, s: 1, w: 4, k: 3}. Give prob of sequence khsw.
1/3876
What is prob of sequence xll when three letters picked without replacement from {x: 11, l: 2
|
{
"pile_set_name": "DM Mathematics"
}
|
et z = 2878.3 + -2878. What is the smallest value in z, 2, 2/5, -0.1?
-0.1
Let a = -0.781 - -0.411. Let t = a - -1.37. What is the biggest value in 4, -1.31, t?
4
Let b = 5689 + -5694. What is the third biggest value in b, 14, 1, 2/11?
2/11
Let x = 7374889/133 + -55450. Let n = 11/19 - x. Let o = 0.1 + 0.4. Which is the second smallest value? (a) n (b) -1/7 (c) o
a
Let p = 45 - -8. Let h = p - 56. Which is the fourth biggest value? (a) -1 (b) 2/3 (c) 1/4 (d) h
d
Let r(g) = g**2 - 8*g + 18. Let q(u) = 20 + 29 - 14*u - 534*u**2 + 535*u**2. Let j be q(9). Let l be r(j). What is the third biggest value in -0.4, 0, l?
-0.4
Suppose -8*f = 7*f - 900. Suppose -45 = -5*o + f. Let h be 2 - ((-14)/o)/((-8)/42). Which is the smallest value? (a) -3 (b) h (c) 3/4 (d) 5
a
Let s = -1985 + 1984.6. Which is the second biggest value? (a) s (b) -3 (c) -4 (d) 64
a
Let w be ((-208)/130)/((-4)/15). What is the second biggest value in -1, -1/6, 3/5, w?
3/5
Let k be 0 + (-1)/(-10) + 0. Suppose -5*g + 13*g = 2320. Let h = -2028/7 + g. What is the third biggest value in -1/2, k, h?
-1/2
Let t = -126258.4409 - -126265. Let a = 0.0909 + t. What is the second smallest value in a, 2, -2?
2
Let u = 146/7 + -5680/273. Let h = -27298 + 27301. Which is the third biggest value? (a) 0.1 (b) u (c) h
b
Let m = -0.9539 - 0.0461. Which is the biggest value? (a) m (b) 69 (c) 0.4
b
Suppose 8 = 2*x + 9 - 7. Which is the biggest value? (a) x (b) -4 (c) 3/4 (d) -2/99
a
Let u = -440 - -321. Let n = u + 118.6. Suppose 3*a - 2 = 4*a. What is the biggest value in n, a, -15?
n
Let x = 1028.62 + -1028. Let n be (-6)/9 - 40/(-42). What is the third smallest value in 3, 0.2, n, x?
x
Let n = 0.0006 + 0.2084. Let u = n - 0.189. Let o = -124/3 + 41. What is the smallest value in 0, u, -4, o?
-4
Let m = 51.8 - -0.7. Let z = m - 53. Which is the smallest value? (a) z (b) 0 (c) -0.06 (d) 1/5
a
Let h = 7514 + -7514.7. Let z be (1 - 3)*5/(-35). Let t = -0.1 - -0.5. Which is the biggest value? (a) t (b) 1/9 (c) h (d) z
a
Let n = -1 + 1. Suppose -q + n*q = -5. Let o(l) = l**2 - 104*l + 204. Let z be o(2). Which is the third biggest value? (a) z (b) q (c) 1 (d) 2/7
d
Let q = -6.9 + 21.9. Let u be ((-2)/20)/((-178)/356). Which is the second biggest value? (a) q (b) u (c) -0.05
b
Let w = 0.2 + -0.1. Suppose 0 = -50*d + 47*d. Let v be -4 + (-25)/(-280)*(44 - d). Which is the biggest value? (a) v (b) w (c) -5
b
Let s = -1.97 - 2.36. Let l = s - -3.62. Which is the third biggest value? (a) -0.4 (b) l (c) 4
b
Suppose 152 = 15*q + 2. Let n be q/30*((-40)/(-19) + -2). Which is the third smallest value? (a) 4 (b) 2 (c) n
a
Let j = 18032/33 - 1636/3. What is the biggest value in j, 2/5, -0.4?
j
Let s = -18.2 - -17.2. Let a = -7.7 + 8. Let q = 0.34 + -0.14. What is the second biggest value in a, s, q, -2?
q
Let i = -6165 + 6165.7. What is the fifth biggest value in -5, 0, 44, -1/6, i?
-5
Let i = -62 + 93.5. Let k = 34 - i. Let r = 3 - k. Which is the third biggest value? (a) r (b) 5/4 (c) -2/7 (d) 5
a
Let v = -1002 + 1001.7. What is the third smallest value in -521, -2/7, 0.5, v, -1?
v
Let s = 17/5 + -3. Suppose -3*p + 51 = -5*v + 14, -5*v = 2*p - 33. Let q = 0.1 + -5.1. Which is the biggest value? (a) s (b) q (c) p
c
Let h = -703 - -702.963. Let x = 0.363 - h. Let m = 1.6 - -0.4. Which is the smallest value? (a) -2 (b) x (c) m
a
Let x = 3687/161 - 160/7. Let p = -535.9 + 536.9. What is the third biggest value in 3, p, x?
x
Let f = -25.5 - -26. Let a be ((-40)/15)/((-64)/144). What is the biggest value in a, f, 0.2, 0.4?
a
Let o = -132.608 - -133. Let u = o + 0.108. Which is the third biggest value? (a) 2/7 (b) u (c) -4/3 (d) -2
c
Let i = -3.2 + -1.8. Let n = -0.00711 + -0.99289. What is the biggest value in n, 1, -0.5, i?
1
Let d = 610488 + -610473. Let h = -4.2 - 0.8. Which is the biggest value? (a) -0.4 (b) h (c) d
c
Let x = 83 + -74. Let j = -1011 - -1007. Which is the smallest value? (a) 1 (b) x (c) -1 (d) j
d
Let i = -1 - 4. Suppose -x - 3*p + 7*p - 23 = 0, -3*x + 5*p = 34. Let h be 6/28*7/(-6). Which is the smallest value? (a) i (b) x (c) h
a
Let t = 0.8 - -2.2. Let k = -3971.5 + 3976.5. What is the third smallest value in k, -0.1, t?
k
Let s be 3 - (-18)/(-4) - (-671)/122. Which is the fifth biggest value? (a) -0.3 (b) 0.5 (c) s (d) 5 (e) 8
a
Let v = -4.86
|
{
"pile_set_name": "DM Mathematics"
}
|
t v be 1 + -2 - (-5 - 2). Which is the second biggest value? (a) t (b) -0.3 (c) v (d) -1/3
a
Suppose -v + 1686 = 8665. Let n = -209399/30 - v. Let t = n + 7/6. Which is the biggest value? (a) 1/3 (b) 0 (c) t
a
Let x be (9/(-81))/((72/(-120))/((-1)/(-5))). What is the third smallest value in 5, x, -5, 0.2, 1/4?
0.2
Let w = 199.6 + -199.2. Which is the second smallest value? (a) -10 (b) w (c) -42
a
Let y = -2.032 + 0.032. Let z be (-20 - -22) + 2 - (0 + (-284)/(-70)). What is the smallest value in y, -5, z?
-5
Let o be 6 + (-40)/7 + 208/(-238). Let t = 12145 + -1651657/136. Let f = o + t. What is the third smallest value in 0.5, -2/13, f, 1?
0.5
Let k = 601/1010 - -1/202. What is the fourth biggest value in 5, k, 16/5, 3?
k
Let v = -1.784 - -0.134. Let y = v + 1.85. What is the third biggest value in -3, -5, y?
-5
Let w = 3.516 - 12.516. Which is the fourth smallest value? (a) -0.5 (b) 0.4 (c) -4 (d) w (e) 0.13
e
Let m = -25 + 24. Let q be -1 - ((-54)/(-24) - (4 + m)). Let l = 0.57 + -0.07. Which is the second smallest value? (a) q (b) 4/9 (c) 2/9 (d) l
c
Let b be (-1)/(-4)*(-24)/30. Let f = 60/11 + -224/33. Let q = -5.453 - -0.453. What is the fourth smallest value in f, -0.03, b, q?
-0.03
Let y be (-265)/(-50)*-2 - (-12 - -2). Which is the fourth smallest value? (a) 0.3 (b) 1.1 (c) 1/12 (d) -118 (e) y
a
Let h = -6055 - -6050. Which is the third biggest value? (a) -0.87 (b) h (c) 3
b
Let z = -28.24 + 14.24. Which is the biggest value? (a) z (b) 2/13 (c) -0.1 (d) -2/23
b
Let s = -78.4 - -75.4. Which is the second biggest value? (a) -2 (b) -109/7 (c) s
c
Let k be ((-2114)/35)/(((-2)/20)/1). Let r = -23558/39 + k. Let j = -5.2 - -5. Which is the biggest value? (a) j (b) r (c) -2
b
Let l = -2029/4963 + -14/709. Which is the fourth biggest value? (a) -1 (b) 20 (c) -6 (d) l
c
Let h = 0.02 + 0.38. Let p = -110 - -177. Let i = 66.5 - p. What is the second smallest value in i, -1, 0, h?
i
Let s = -15 - -12. Let a = -0.267 + 0.167. What is the second smallest value in a, s, 1/4?
a
Let o = 19.61 + -21.61. Which is the smallest value? (a) 33/8 (b) -3 (c) o (d) 2
b
Let w = -2.6 - -1.16. Let y = -2.44 - w. What is the second smallest value in y, -2/7, -5, -3/4?
y
Let l be 1/(-2)*(-14 + 4). Let h = 623 + -624. Which is the biggest value? (a) 0.5 (b) -1/3 (c) l (d) h
c
Let u be ((-8859)/6)/(((-455)/10)/(-7)). Let x = -227 - u. Which is the third smallest value? (a) x (b) 0.4 (c) -2/5
b
Let u = 3.49 + -6.26. Let y = u + 2.47. Which is the biggest value? (a) -0.2 (b) y (c) 1/8 (d) 3/5
d
Let p = -7 + 7.3. Let d = -721.5 + 1039. Let j = d + -317. What is the second smallest value in -3/13, 1/9, p, j?
1/9
Let u = 101 + -709/7. Which is the third smallest value? (a) 0 (b) 0.5 (c) u (d) 16
b
Let l = 163 - 191. Let z = -27.7 - l. Which is the biggest value? (a) -1 (b) 1 (c) z (d) 1/8
b
Let r = -2.8687 - 0.1313. Which is the biggest value? (a) 0.22 (b) 14 (c) r
b
Let l(t) = -350*t + 7348. Let z be l(21). What is the second biggest value in z, 2, -0.2, 186?
2
Let q be (-4)/(-6)*(-1)/(-3). Let p = -3.96 - 0.04. Let g = 2786 + -2785.5. Which is the second biggest value? (a) g (b) q (c) p (d) -0.1
b
Let r be ((-6)/(-85))/(248/310)*(-12)/9. Let i = -6.2 - -6. Let q = i + 0. What is the third biggest value in 4, q, r?
q
Let m = -2.97 + 2.67. Let u = 1.009 - 0.009. What is the third smallest value in u, m, 0.2, -3?
0.2
Let a = -10.59 - -2.59. What is the second biggest value in a, -2/13, 0, 0.1, -2?
0
Suppose -94*p - 2688 = -110*p. Suppose p*u = 164*u. What is the smallest value in u, -1/4, -19?
-19
Let v = 71 + -59.5. Let g = -9.5 + v. Let r = 0.8 + -0.5. What is the third biggest value in -1, r, g?
-1
Let t = 258 + -258.181. Let f = t + -0.219. What is the third smallest value in 1, -2/23, -5, f?
-2/23
Let i = -0.58 - -0.08. Let n = 1.087 + -0.087. What is the second biggest value in i, -4/5, n, -2/3?
i
Let y = -0.01632 - 8.98368. Which is the biggest value? (a) y (b) 2/13 (c) 1/10 (d) 5/2
d
Let u be (-140)/(-315) - 226/144. What is the second smallest value in 70, 2, u?
2
Let i be (7/21*0/(-2))/(-2). Suppose 27*f + 67 + 41 = i. Which is the biggest value? (a) 1/3 (b) 0.15 (c) f
a
Let x = -14199.4 + 14199. What is the fourth biggest value in -6/11, 5771, -2, x?
-2
Let m = 18962/21 + -6316/7. Which is the third smallest value? (a) 3/7 (b) -3 (c) 109 (d) m
d
Let h be 6 - (-50)/(-8) - (-515)/300. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest one million.
802000000
Round 0.0259484 to three dps.
0.026
What is -0.00000142995 rounded to seven decimal places?
-0.0000014
What is 3787.2178 rounded to the nearest ten?
3790
Round -0.02111005 to three dps.
-0.021
Round -59.1907 to one dp.
-59.2
What is 20721000 rounded to the nearest one million?
21000000
Round -4287150 to the nearest 1000000.
-4000000
What is -344590.6 rounded to the nearest 1000?
-345000
What is -0.0000003219 rounded to six decimal places?
0
Round 6854519 to the nearest 1000.
6855000
Round 184062000 to the nearest 1000000.
184000000
Round -0.00005834379 to 7 decimal places.
-0.0000583
Round 12.7572 to the nearest integer.
13
What is 112.85338 rounded to the nearest ten?
110
Round -0.03608383 to 3 dps.
-0.036
What is -0.0000520793 rounded to six dps?
-0.000052
Round 153.889 to the nearest one hundred.
200
Round -0.000048878 to 5 dps.
-0.00005
Round 877.765 to the nearest 100.
900
What is -0.1548488 rounded to 4 dps?
-0.1548
What is 17.863118 rounded to one decimal place?
17.9
Round 0.000202608 to four decimal places.
0.0002
Round 23155.16 to the nearest one hundred.
23200
Round 3265.9 to the nearest ten thousand.
0
Round 5022.32 to the nearest one thousand.
5000
Round 9678.746 to the nearest ten.
9680
What is 0.010848477 rounded to 4 dps?
0.0108
What is 1.472296 rounded to the nearest integer?
1
Round 42823780 to the nearest one hundred thousand.
42800000
Round -13.808676 to 1 decimal place.
-13.8
What is 0.00355552 rounded to 4 decimal places?
0.0036
What is 0.126494 rounded to 3 dps?
0.126
What is 16035340 rounded to the nearest one million?
16000000
Round 3878015.8 to the nearest one thousand.
3878000
Round -1034.327 to the nearest integer.
-1034
What is 0.0005015494 rounded to 6 decimal places?
0.000502
Round -0.0000503433 to 5 dps.
-0.00005
What is 0.0341519 rounded to 4 decimal places?
0.0342
What is 0.0002956908 rounded to six dps?
0.000296
What is 600.922 rounded to the nearest 100?
600
What is -0.00111329 rounded to four dps?
-0.0011
Round 0.00012570607 to 7 dps.
0.0001257
What is 93.4099 rounded to the nearest 10?
90
What is -0.00573768 rounded to four dps?
-0.0057
Round 0.00006466275 to five decimal places.
0.00006
What is 285407 rounded to the nearest 10000?
290000
Round 230592.6 to the nearest one thousand.
231000
What is -0.000650718 rounded to 4 decimal places?
-0.0007
Round 9670100 to the nearest 10000.
9670000
Round -16747270 to the nearest 1000000.
-17000000
What is -3649930 rounded to the nearest 1000?
-3650000
Round 0.00644115 to 5 decimal places.
0.00644
What is -0.2722086 rounded to two dps?
-0.27
What is -0.00150047 rounded to three dps?
-0.002
What is -8426300 rounded to the nearest one hundred thousand?
-8400000
Round 1155104.2 to the nearest one thousand.
1155000
What is 0.006063802 rounded to three decimal places?
0.006
Round 165001.9 to the nearest 10000.
170000
Round 124.31232 to 0 decimal places.
124
Round 70.1626 to the nearest 10.
70
Round -4.2727 to 1 dp.
-4.3
What is 25.7248 rounded to 1 dp?
25.7
Round 0.0000115252 to 6 dps.
0.000012
What is -9543.15 rounded to the nearest one hundred?
-9500
What is 20387980 rounded to the nearest one million?
20000000
What is 0.000000664653 rounded to 7 decimal places?
0.0000007
What is 0.0034624 rounded to three decimal places?
0.003
Round 3.7954 to the nearest 10.
0
What is 3432026 rounded to the nearest 10000?
3430000
Round 545934340 to the nearest 1000000.
546000000
Round -0.49521 to three decimal places.
-0.495
What is -46292300 rounded to the nearest one hundred thousand?
-46300000
What is 13.55658 rounded to the nearest integer?
14
What is 0.10961405 rounded to 4 decimal places?
0.1096
Round -0.0656292 to 4 decimal places.
-0.0656
Round 0.006899222 to 3 decimal places.
0.007
What is 20641.72 rounded to the nearest one hundred?
20600
What is 935.103 rounded to the nearest 10?
940
What is -13.753257 rounded to the nearest integer?
-14
Round -12161.16 to the nearest one hundred.
-12200
Round 0.00004503529 to 7 decimal places.
0.000045
What is 11286420 rounded to the nearest 100000?
11300000
Round 188.2647 to the nearest 10.
190
What is -14.51 rounded to zero decimal places?
-15
Round 15749071 to the nearest ten thousand.
15750000
Round -0.74514 to 2 dps.
-0.75
What is 39276050 rounded to the nearest 100000?
39300000
Round 29149 to the nearest 10000.
30000
Round 26391340 to the nearest ten thousand.
26390000
What is -817570000 rounded to the nearest one million?
-818000000
What is 1.5712 rounded to one decimal place?
1.6
What is 0.261679 rounded to 3 decimal places?
0.262
Round 18.58115 to the nearest integer.
19
Round -0.176823 to 3 decimal places.
-0.177
What is -15.374259 rounded to 2 decimal places?
-15.37
What is -58151.84 rounded to the nearest one thousand?
-58000
Round 208.933 to one decimal place.
208.9
What is 0.000006575268 rounded to six dps?
0.000007
What is 0.000000149572 rounded to seven decimal places?
0.0000001
What is -1.597908 rounded to 3 decimal places?
-1.598
Round -0.173633046 to 3 decimal places.
-0.174
What is -67.0336 rounded to one decimal place?
-67
Round -6.563298 to zero decimal places.
-7
What is 0.0004820926 rounded to five dps?
0.00048
What is 2652.6416 rounded to the nearest 10?
2650
What is 33.378541 rounded to two dps?
33.38
Round 0.0003724472 to 4 dps.
0.0004
Round 5977.09 to the nearest 10.
5980
Round -229.673 to the nearest ten.
-230
Round 0.000001372942 to 7 dps.
0.0000014
Round -33.63647 to 1 dp.
-33.6
Round 969137 to the nearest 100000.
1000000
Round -751468.7 to the nearest ten thousand.
-750000
Round 735745.5 to the nearest 100000.
700000
What is 0.210054 rounded to three dps?
0.21
What is 0.07106852 rounded to 4 dps?
0.0711
Round -0.0158964 to two dps.
-0.02
What is 0.0000043627834 rounded to 6 dps?
0.000004
Round 105087740 to the nearest one hundred thousand.
105100000
Round -1933459.4 to the nearest 100.
-1933500
What is 1976.431 rounded to the nearest ten?
1980
Round -252.713 to the nearest one hundred.
-300
What is 2.4874729 rounded to the
|
{
"pile_set_name": "DM Mathematics"
}
|
give g.
-1
Rearrange (75*u - 883 + 883)*(-3*u + u + u) to the form n*u**2 + r*u + h and give n.
-75
Rearrange -4*c**2 + 2*c**2 - 1 + 3*c**2 + 2 to the form i + j*c + s*c**2 and give i.
1
Express 19 + 11 + 3*p - 30 as c*p + k and give c.
3
Express -2*f**2 + f**4 - 558 + 0*f**2 + 7*f**3 + 560 in the form h*f**2 + s*f**3 + j*f + x + u*f**4 and give j.
0
Rearrange (4*d**3 + 3*d**3 - 5*d**3)*(35*d - 74*d + 38*d - 38) to the form o*d + l*d**3 + z + m*d**2 + k*d**4 and give k.
-2
Express -8 - 6 + 9 + o - 7 in the form v + c*o and give v.
-12
Express 24 - 35*g**3 + 12*g**3 - 22 in the form l*g**3 + w*g + a*g**2 + x and give w.
0
Express 10 - 3 + 10*n - 2 - 2 in the form l + f*n and give l.
3
Express -2 + 1 - 4*o**2 + 3*o**3 - 3 + 3*o**2 in the form a*o**2 + f*o + l + h*o**3 and give h.
3
Rearrange (-i + i + 2*i**3)*(-4 + 4 + 5*i) - 7*i**4 + 13*i**4 - 2*i**4 to v*i**2 + j*i + n*i**3 + f + s*i**4 and give s.
14
Rearrange -2*m - 26 + 26 + 3*m to l*m + v and give l.
1
Rearrange -18*k**2 + 8701*k - 8701*k to the form h + d*k + f*k**2 and give f.
-18
Express (1 - 1 - 1 + 3 + 4 - 6 - 2 + 5 - 5 + (1 - 4 + 4)*(-1 + 2 - 3))*(6 + 0 - 4)*(3 - 3 - 15*i) in the form n*i + h and give n.
120
Rearrange (-2*l + 2*l + 3*l)*(3*l - 3*l + 2*l) + (5*l - 5*l + 5*l**2)*(-3 + 4 + 0) to the form n*l + c + h*l**2 and give h.
11
Express 6 - 28*t**2 + 10*t**2 - 6 in the form r*t + p + i*t**2 and give i.
-18
Express (0*j**3 - 4*j**3 + 2*j**3)*(-j + 0*j + 2*j) - 126*j + 126*j + 31*j**4 as n*j**4 + o*j**2 + f + s*j**3 + r*j and give n.
29
Express 0*o**3 - o**3 - o**4 - 3*o**2 + 2*o**3 + o**2 as c + d*o**2 + q*o**3 + j*o**4 + i*o and give d.
-2
Rearrange -n**3 + 1 - 1 + (7*n - 15*n - 7*n)*(2*n**2 + 0*n + 0*n) to g*n**2 + p*n + k*n**3 + z and give k.
-31
Express (5 + 1 - 5)*(-2*y**2 + 0*y**2 + 5*y**2) - y + 6*y**2 - 3*y - 3 - 7*y**2 in the form g + f*y**2 + k*y and give k.
-4
Rearrange 3*d**2 - 14*d**2 - 11*d**2 - 8*d**2 to a*d**2 + o*d + b and give b.
0
Rearrange (-2*b + 2*b - b**2)*(-1 - 3 + 3) + (-2*b + 0*b + 6*b)*(3*b + 2*b - b) to g*b**2 + h*b + a and give g.
17
Express (y + 2*y - 4*y)*(-1 - 2*y + 1) + y**2 + 0*y**2 + y**2 + 3*y**2 - 3*y**2 - 2*y**2 + y + 3*y**2 - 3*y**2 - y**2 as n*y + d*y**2 + q and give n.
1
Express 5*n + 2*n - 4*n + 20*n as g*n + k and give g.
23
Rearrange -t**2 + 0 + 1 - 5*t**3 + 6*t**3 - 3 to the form z*t**3 + n + o*t**2 + j*t and give n.
-2
Rearrange -3*o**4 + o - 100*o**2 - o**4 + 102*o**2 - o**3 to z*o + u*o**2 + w + g*o**4 + s*o**3 and give u.
2
Rearrange -1 - 15 - 2*d + 9 to j + x*d and give j.
-7
Express (-4 + 1 + 1)*(0 - 4*w + 0) + (-4 + 1 + 6)*(2*w - 3*w + 3*w)*(-5 + 3 + 1) as l*w + z and give l.
2
Rearrange -5 + 3 + 7*u**3 - 2*u**3 to h + t*u**2 + l*u + n*u**3 and give n.
5
Express (-7*x + 2*x + 2*x)*(110 - 99 - 65) + x + x + 0*x in the form h*x + m and give h.
164
Express -2*y**2 + 12*y**2 + 27*y**2 - 8*y**2 as k*y + o*y**2 + p and give o.
29
Express 2*s**3 + 16 - 14 - 3*s + 2*s as v*s + m*s**3 + x + n*s**2 and give m.
2
Rearrange -4*g - 4 + 4 + g**2 - 6*g to the form n*g + y + c*g**2 and give n.
-10
Express (j**2 + 0*j**2 - 3*j**2)*(-3*j - 2*j + 2 + 3*j) in the form v*j + k*j**3 + d + z*j**2 and give k.
4
Express 2*u + u + 4*u**2 - 2*u**2 in the form z + o*u**2 + q*u and give z.
0
Express -10 + 24*r**3 + 9*r**3 + 13 - 10*r**3 as h*r**2 + p*r**3 + b + s*r and give b.
3
Express -4*z**2 - 2*z - 6*z**2 + 2*z**2 + 2*z**2 in the form d + g*z**2 + k*z and give g.
-6
Rearrange -616*d**3 + d**2 + 6*d**4 + 611*d**3 - 5*d**4 to the form u*d**4 + l*d**3 + w + y*d**2 + c*d and give y.
1
Express -9*b**2 + 4*b**2 - 11*b**2 as q + t*b + w*b**2 and give w.
-16
Express (-2*y - 2*y + 2*y + (0 - 3 + 2)*(0 + 0 + 2*y) + (y + 2*y - 10*y)*(2 - 5 + 2)*(5 - 3 - 3))*(-2*y + 2*y + y) in the form p + b*y + h*y**2 and give h.
-11
Rearrange 238*l - 238*l + 46*l**2 to the form z + c*l + f*l**2 and give f.
46
Rearrange (3 - 4 + 0)*(-4*k**2 + k**2 - 6*k + k) to the form c*k + z*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
?
3b1795
In base 14, what is 377c8 - 1245?
36583
In base 5, what is 20 + 113044121?
113044141
In base 3, what is 221100 + -222020110?
-221022010
In base 10, what is 1022 - -771?
1793
In base 9, what is -3328 + 6488?
3160
In base 2, what is -1110101100 + 11100001011000?
11010010101100
In base 15, what is -42e1 - 15a?
-444b
In base 4, what is -102 - 130203233?
-130210001
In base 14, what is -13b22 - -44?
-13abc
In base 2, what is -10101100010 - -1011011100011?
1000110000001
In base 8, what is 74 + -673266?
-673172
In base 3, what is -110001 + 2112100111?
2111220110
In base 4, what is 311303022 + -2211?
311300211
In base 12, what is -105a22a09 - -4?
-105a22a05
In base 5, what is 103040044401 - -1?
103040044402
In base 16, what is -11413 + -fe?
-11511
In base 14, what is -cbb5 - 204a?
-10c21
In base 12, what is 317462a + 5?
3174633
In base 10, what is -3699523 + 71?
-3699452
In base 14, what is 2c4dd221 - -2?
2c4dd223
In base 11, what is -27521 + 49?
-27483
In base 16, what is -37ac0 - 99?
-37b59
In base 2, what is 100110100011000000 + 10000?
100110100011010000
In base 5, what is -304011 + -142?
-304203
In base 9, what is 2573 + 13408?
16082
In base 7, what is -4526642 + 50?
-4526562
In base 11, what is 80512 - 49?
80474
In base 7, what is -25 + 20600206?
20600151
In base 7, what is -416021606 + -4?
-416021613
In base 13, what is 28232 + -59?
281a6
In base 7, what is 125312 + -104211?
21101
In base 14, what is -3b485 - -84?
-3b401
In base 3, what is 111221220000202 + -12?
111221220000120
In base 10, what is 1 + 11527038?
11527039
In base 14, what is -10a1b0 + -9b?
-10a26b
In base 6, what is -221 - 1434500?
-1435121
In base 14, what is 198 - -4713?
48ab
In base 16, what is 3ce5b + -26b?
3cbf0
In base 3, what is 21022122 - -1002202220?
1101002112
In base 10, what is 2 + -212572?
-212570
In base 12, what is a53 + 43043?
43a96
In base 4, what is 10 - 1113300301113?
-1113300301103
In base 5, what is -200100043 + -22?
-200100120
In base 5, what is -4 + 234423324402?
234423324343
In base 5, what is -23042003 - 114?
-23042122
In base 5, what is 10201140341 - 10?
10201140331
In base 11, what is 1330 + 316570?
3178a0
In base 15, what is 6 - 2be1e25?
-2be1e1e
In base 9, what is 25 + 33465365?
33465401
In base 7, what is 231261505 - 0?
231261505
In base 4, what is -22030110 - -102001?
-21322103
In base 14, what is -3a + 418d?
4153
In base 14, what is 5 - 16d2d885?
-16d2d880
In base 13, what is 0 + 11437745?
11437745
In base 12, what is -5 - -1435839?
1435834
In base 14, what is -517d - 1b9?
-5358
In base 6, what is -514 + -304350?
-305304
In base 16, what is -19 + 573806?
5737ed
In base 12, what is -12 + 849215?
849203
In base 2, what is 1011100010 - -1001110001000101010?
1001110010100001100
In base 16, what is -25120 - 3?
-25123
In base 5, what is 0 - -140021402222?
140021402222
In base 8, what is -5 - 20723713?
-20723720
In base 16, what is 15b - -99ba?
9b15
In base 5, what is 24223122423 - 1?
24223122422
In base 6, what is -132 - 51300101?
-51300233
In base 6, what is 20514 - -124323?
145241
In base 16, what is 6 + -296e9fa?
-296e9f4
In base 3, what is 1101011 + -220002100?
-211201012
In base 16, what is -110f - 788?
-1897
In base 4, what is 33020301 - 303232?
32111003
In base 14, what is 5 + -1553c412?
-1553c40b
In base 11, what is 4945 + -733?
4212
In base 16, what is -c2e1 + 1916?
-a9cb
In base 14, what is -9d90 - 3c9d?
-dc4d
In base 10, what is -7778 + 14697?
6919
In base 16, what is e492d55 - 2?
e492d53
In base 8, what is -23345 - 570?
-24135
In base 3, what is -1 - 200021212111200?
-200021212111201
In base 11, what is 264 + -110949a?
-1109236
In base 3, what is 101 + -120012220100?
-120012212222
In base 13, what is a - 1904350?
-1904343
In base 14, what is 3 + -1a681b5?
-1a681b2
In base 4, what is -302121122303 - 2?
-302121122311
In base 11, what is -7046 - a9?
-7144
In base 7, what is 20463501 - 1200?
20462301
In base 11, what is 757a60 - 3?
757a58
In base 9, what is -852 + -376107?
-377060
In base 6, what is -14155 - 500?
-15055
In base 9, what is 1814 + -20776?
-17862
In base 6, what is 30015122 + 114?
30015240
In base 9, what is -3516544 - 2?
-3516546
In base 6, what is 134245 - 343?
133502
In base 14, what is 10b - -ba6d?
bb7a
In base 8, what is -30 - -206502701?
206502651
In base 5, what is 204234 - -323321?
1033110
In base 3, what is -1022110 - 102201121?
-111001001
In base 6, what is 1 - 4323112421?
-4323112420
In base 6, what is -305021002 - 220?
-305021222
In base 2, what is 1000100000101 + -110001111111001?
-101001011110100
In base 7, what is -23666045 + 5?
-23666040
In base 8, what is -567 + 36527?
35740
In base 9, what is -4 - 3067478?
-3067483
In base 5, what is 12043 - 42120312?
-42103214
In base 3, what is -1110 +
|
{
"pile_set_name": "DM Mathematics"
}
|
73, -30, -238, 2 in descending order.
2, -30, -238, -273
Sort 6, -3, 5, -52, -15, -5 in ascending order.
-52, -15, -5, -3, 5, 6
Put 0.5, 2, 16, 70, 2.15 in increasing order.
0.5, 2, 2.15, 16, 70
Sort 754, 4/13, -0.13 in descending order.
754, 4/13, -0.13
Sort -4037049, 12, 4 in ascending order.
-4037049, 4, 12
Sort -3, -1, 80, -2, -760.
-760, -3, -2, -1, 80
Sort 2, 101, -152, 5, 13, -2.
-152, -2, 2, 5, 13, 101
Sort 4, -35614, 5, 3, -18, -1, -4 in decreasing order.
5, 4, 3, -1, -4, -18, -35614
Put 18, -25, 0, -4, 28, -24 in ascending order.
-25, -24, -4, 0, 18, 28
Sort 61, -2, 74, -3.
-3, -2, 61, 74
Sort 33, -0.1, 13860, -0.3, -13 in descending order.
13860, 33, -0.1, -0.3, -13
Put 0, 1/6, 6.36, 1.9089 in increasing order.
0, 1/6, 1.9089, 6.36
Put -4, -1186, -132345 in decreasing order.
-4, -1186, -132345
Put -4, 29, 8, 1597, -3 in increasing order.
-4, -3, 8, 29, 1597
Sort 93, 0, 5, 81, 57 in descending order.
93, 81, 57, 5, 0
Put -101, -9, -11, 0 in ascending order.
-101, -11, -9, 0
Sort 241, -334, -5, -14, 1.
-334, -14, -5, 1, 241
Sort 431, 2, -2/3, 82824.
-2/3, 2, 431, 82824
Put -1, 3, -5, 18, 0, 5526 in decreasing order.
5526, 18, 3, 0, -1, -5
Sort -4, -3, 26, 45, 13, -2 in decreasing order.
45, 26, 13, -2, -3, -4
Sort -13/2, -953539, 0.
-953539, -13/2, 0
Sort 5, 53, 3, -52, -28, 1 in ascending order.
-52, -28, 1, 3, 5, 53
Sort -42, 5, -27502.
-27502, -42, 5
Put 747, 5, -4, 0, 30, -5, 3 in decreasing order.
747, 30, 5, 3, 0, -4, -5
Sort -2, -0.3, 2998.185.
-2, -0.3, 2998.185
Sort -5, 440, -892, 3 in descending order.
440, 3, -5, -892
Put -10/57, -250, -166, -1/2 in decreasing order.
-10/57, -1/2, -166, -250
Sort 17793, 3, 7442 in decreasing order.
17793, 7442, 3
Put 132/31, 177/38, -5 in increasing order.
-5, 132/31, 177/38
Put -4, -2612, 4, 0, 16.2 in descending order.
16.2, 4, 0, -4, -2612
Sort -7226, 3, 528, 2, -2 in decreasing order.
528, 3, 2, -2, -7226
Sort -18.84, 0.0485, 2/5 in increasing order.
-18.84, 0.0485, 2/5
Put -1, -4, -10, -94223, 5 in ascending order.
-94223, -10, -4, -1, 5
Put 5, 4, -3, -125, 6378, -4 in increasing order.
-125, -4, -3, 4, 5, 6378
Sort 2, -2, 4, -8, 19, -49, 56 in decreasing order.
56, 19, 4, 2, -2, -8, -49
Sort 84, -1/2, 1/4, -2550.
-2550, -1/2, 1/4, 84
Put -5, -3, 3, 0, 81137, 11 in descending order.
81137, 11, 3, 0, -3, -5
Put 1, -1, 6, 5, 0, -16, -5 in descending order.
6, 5, 1, 0, -1, -5, -16
Put 0, 4, -2, 11, 5341 in increasing order.
-2, 0, 4, 11, 5341
Sort -1, 0.3, 2/7, 3, -774, -49.
-774, -49, -1, 2/7, 0.3, 3
Sort -0.5, 2278/29, 9.4, 2/17 in decreasing order.
2278/29, 9.4, 2/17, -0.5
Sort -3, 10, -2257879 in decreasing order.
10, -3, -2257879
Put -7, 5373, -58 in decreasing order.
5373, -7, -58
Sort 2, 23, -1, 3, 292, -3 in decreasing order.
292, 23, 3, 2, -1, -3
Put 3, 940, 72, 0.1, -5 in decreasing order.
940, 72, 3, 0.1, -5
Sort -2, 4, 107, -1, -11, -238 in ascending order.
-238, -11, -2, -1, 4, 107
Sort 3, -180959, -4156.
-180959, -4156, 3
Put -1/8, 31, 3, 7/141, -4 in descending order.
31, 3, 7/141, -1/8, -4
Sort 555558, -13, -1, 5.
-13, -1, 5, 555558
Sort -4, 1, 2, -9, 6061, 0 in decreasing order.
6061, 2, 1, 0, -4, -9
Sort 3, 2, 437, 2/6889 in ascending order.
2/6889, 2, 3, 437
Sort -1, -6, -2/55, 0, 3.179 in increasing order.
-6, -1, -2/55, 0, 3.179
Put -1/3, 2/5, -1.2093, -2, -5 in ascending order.
-5, -2, -1.2093, -1/3, 2/5
Sort -3, 344, 2, -204, 4.
-204, -3, 2, 4, 344
Sort -26, 26, 54 in descending order.
54, 26, -26
Put 14.46, -1, 0.6, 1/355, -3 in decreasing order.
14.46, 0.6, 1/355, -1, -3
Sort 4/3, -0.1, -321, -0.098 in decreasing order.
4/3, -0.098, -0.1, -321
Put -5008, 3/2, -1/3, 2/7 in descending order.
3/2, 2/7, -1/3, -5008
Sort 3, 4, 5622, 11, -4, 19 in increasing order.
-4, 3, 4, 11, 19, 5622
Sort 0.5, 9.1861, 2, 1, 0, 0.2 in ascending order.
0, 0.2, 0.5, 1, 2, 9.1861
Put -84, -5025, 49 in decreasing order.
49, -84, -5025
Put 7, -3, -5473, 108 in increasing order.
-5473, -3, 7, 108
Sort 4087, 42, 1, 17 in increasing order.
1, 17, 42, 4087
Sort 4, -50, 6, -18, 1 in ascending order.
-50, -18, 1, 4, 6
Sort 1765, 126, -1.
-1, 126, 1765
Put -0
|
{
"pile_set_name": "DM Mathematics"
}
|
00.
600
Round 0.03306 to three decimal places.
0.033
What is -157.9 rounded to the nearest 10?
-160
Round -0.00004189 to 5 dps.
-0.00004
What is 304500 rounded to the nearest 1000000?
0
Round -426100 to the nearest ten thousand.
-430000
Round 42.171 to the nearest integer.
42
What is -18.08 rounded to 1 dp?
-18.1
Round -0.3328 to two decimal places.
-0.33
Round -0.74936 to one decimal place.
-0.7
What is 0.00000064 rounded to 7 decimal places?
0.0000006
What is 3.993 rounded to zero dps?
4
What is 248030 rounded to the nearest 100000?
200000
What is -0.10539 rounded to 1 dp?
-0.1
What is -1.56426 rounded to two decimal places?
-1.56
What is -544.6 rounded to the nearest one hundred?
-500
Round -0.00278 to four dps.
-0.0028
Round -653200 to the nearest one hundred thousand.
-700000
Round 3.5822 to 1 dp.
3.6
What is -1096 rounded to the nearest one hundred?
-1100
What is 9477000 rounded to the nearest 100000?
9500000
Round 2965 to the nearest 1000.
3000
What is -0.000055 rounded to 5 dps?
-0.00006
What is 0.005205 rounded to 3 decimal places?
0.005
What is -0.000089114 rounded to five decimal places?
-0.00009
What is -0.00000185 rounded to 7 decimal places?
-0.0000019
What is 0.00000217 rounded to 6 decimal places?
0.000002
What is 79849 rounded to the nearest ten thousand?
80000
Round 47.578 to zero decimal places.
48
Round -98.57 to the nearest integer.
-99
Round -0.0000043001 to 7 dps.
-0.0000043
What is -9762.3 rounded to the nearest one thousand?
-10000
Round -0.003707 to 4 dps.
-0.0037
What is -753.29 rounded to the nearest 10?
-750
What is -0.06901 rounded to two decimal places?
-0.07
What is 7.1 rounded to one decimal place?
7.1
Round -40.4202 to the nearest ten.
-40
Round -235.95 to the nearest ten.
-240
What is -377.5 rounded to the nearest one thousand?
0
Round -10.787 to the nearest integer.
-11
What is 148670000 rounded to the nearest 1000000?
149000000
What is -644000 rounded to the nearest 1000000?
-1000000
Round -0.000000424776 to seven decimal places.
-0.0000004
Round -0.0000060118 to 6 dps.
-0.000006
Round -0.000016881 to seven dps.
-0.0000169
What is -8413000 rounded to the nearest 100000?
-8400000
What is -0.000501 rounded to five decimal places?
-0.0005
What is 31930 rounded to the nearest 1000?
32000
What is 107.7 rounded to the nearest one hundred?
100
Round 0.02378 to 3 dps.
0.024
What is -0.0052048 rounded to 5 dps?
-0.0052
Round -0.2773 to 1 decimal place.
-0.3
What is -0.00002191 rounded to six decimal places?
-0.000022
What is 0.0000011209 rounded to 7 dps?
0.0000011
Round 0.0000222 to 6 dps.
0.000022
What is 3274.7 rounded to the nearest ten?
3270
What is -8978.1 rounded to the nearest 1000?
-9000
What is -0.00130912 rounded to five dps?
-0.00131
Round 12867 to the nearest ten thousand.
10000
Round 0.106234 to 2 decimal places.
0.11
What is 0.03779 rounded to three decimal places?
0.038
Round 25390 to the nearest one thousand.
25000
Round 0.0000279505 to five dps.
0.00003
Round 0.0038357 to three dps.
0.004
What is -0.00388 rounded to 3 dps?
-0.004
What is -8.969 rounded to the nearest ten?
-10
What is 9644000 rounded to the nearest one million?
10000000
What is -7.53 rounded to the nearest integer?
-8
Round -1295000 to the nearest 1000000.
-1000000
What is -0.5 rounded to the nearest one hundred?
0
What is -0.001267 rounded to 4 dps?
-0.0013
Round -2838.8 to the nearest 10.
-2840
Round -0.000039592 to seven dps.
-0.0000396
Round -0.007 to two decimal places.
-0.01
What is 0.000001261 rounded to 7 dps?
0.0000013
What is 1550800 rounded to the nearest one hundred thousand?
1600000
Round -0.08669 to 2 dps.
-0.09
What is 0.0005353 rounded to 5 dps?
0.00054
Round 0.000012809 to 6 dps.
0.000013
What is -0.0005421 rounded to five decimal places?
-0.00054
Round -2.3162 to one dp.
-2.3
Round 0.0716 to 1 decimal place.
0.1
What is -0.00019 rounded to five decimal places?
-0.00019
What is -0.000010643 rounded to six dps?
-0.000011
Round 0.009098 to 3 decimal places.
0.009
What is -0.0000021944 rounded to six dps?
-0.000002
What is 0.0000047125 rounded to 6 dps?
0.000005
What is -199.647 rounded to the nearest 10?
-200
What is -42.14 rounded to the nearest integer?
-42
What is -14395 rounded to the nearest one thousand?
-14000
Round -0.0108217 to 3 dps.
-0.011
Round 7.862 to the nearest integer.
8
Round 1.0979 to two decimal places.
1.1
What is 0.03652 rounded to two dps?
0.04
What is -3653 rounded to the nearest one thousand?
-4000
Round -21.5359 to 1 dp.
-21.5
Round 0.01956 to two decimal places.
0.02
What is 65642000 rounded to the nearest one million?
66000000
What is -1860000 rounded to the nearest one hundred thousand?
-1900000
Round -6490 to the nearest 1000.
-6000
What is 0.00021839 rounded to six dps?
0.000218
What is 0.0000316 rounded to 6 dps?
0.000032
What is 0.0005 rounded to three dps?
0.001
Round 0.01289 to 3 decimal places.
0.013
What is -0.0002811 rounded to 5 dps?
-0.00028
Round -22520000 to the nearest one hundred thousand.
-22500000
Round 6.49 to 1 decimal place.
6.5
Round 0.0000004251 to 7 decimal places.
0.0000004
What is -19800 rounded to the nearest 1000?
-20000
Round -0.00000548 to seven dps.
-0.0000055
What is 28011000 rounded to the nearest one million?
28000000
Round -0.000000282 to 7 dps.
-0.0000003
What is -0.00184 rounded to four dps?
-0.0018
What is 0.000000429 rounded to seven decimal places?
0.0000004
Round 0.000000727 to seven dps.
0.0000007
What is 0.000002964 rounded to 6 decimal places?
0.000003
What is -0.006209 rounded to 4 dps?
-0.0062
Round -2070 to the nearest ten thousand.
0
Round 21.807 to one dp.
21.8
What is 40.5895 rounded to one decimal place?
40.6
Round 0.003811 to 4 dps.
0.0038
What is 21.52 rounded to 0 dps?
22
Round -5075 to the nearest one hundred.
-5100
What is -0.0083488 rounded to three dps?
-0.008
What is 0.0402358 rounded to four decimal places?
0.0402
Round 1.2067
|
{
"pile_set_name": "DM Mathematics"
}
|
69, 5*h = 4*i + o. Is h a multiple of 5?
False
Suppose 2*a = -o - 3*a - 27, 76 = -2*o + a. Let c = 72 + o. Is c a multiple of 14?
False
Let c be 265/35 + 8/(-14). Let h(p) be the second derivative of -p**5/20 + 2*p**4/3 - p**3/2 - 5*p**2 + p. Is h(c) a multiple of 13?
False
Suppose -3*u - 63 = -6*u. Is 30 a factor of -3 + (-7)/(u/(-240))?
False
Let t = 67 + -26. Does 7 divide t?
False
Let p = -22 - -18. Is 6 a factor of 748/36 - p/18?
False
Suppose 0 = 3*r + 7 + 8. Let g(o) = o - 1. Let q(s) = 4*s - 3. Let u(y) = 17*g(y) - 6*q(y). Is 15 a factor of u(r)?
False
Let l(k) = -25*k + 5. Let j(v) = -v - 1. Let h(y) = 5*j(y) + l(y). Let q be h(-1). Suppose 2*p - 29 = 5*z, -3*p + 4*z + q = 2*p. Is 2 a factor of p?
True
Let h(d) = -4*d + 14. Suppose a - 4*a = 21. Does 21 divide h(a)?
True
Let t = -26 + 8. Let h be ((-2)/3)/(4/t). Suppose 5*i = h*i + 12. Does 3 divide i?
True
Does 11 divide (-8)/36 - 7750/(-45)?
False
Suppose 380 = 37*h - 32*h. Is 38 a factor of h?
True
Let i(n) = 4*n**2 - 5*n + 4. Let h be i(6). Suppose -3*k - 3*r + h = 2*k, -k + 34 = -2*r. Suppose -7 = w - k. Is w a multiple of 7?
False
Suppose 4*b + 19 = -2*v + 3*v, -5*v - 5*b + 70 = 0. Is v a multiple of 15?
True
Let u(y) = 3*y**3 - 4*y**2 - 8*y + 8. Let c be u(6). Let m = -207 + c. Suppose 0 = 5*s - 2*z - m, -3*s + 2*s = -5*z - 33. Is s a multiple of 14?
False
Let l(s) = -2*s**3 + s**2 + s. Is l(-2) a multiple of 6?
True
Let p be (7/7)/(1/(-45)). Let t = -21 - p. Is t a multiple of 10?
False
Suppose -x + i + 4 = 3*x, -16 = -x + 4*i. Suppose x*q = 3*q - 24. Does 8 divide q?
True
Suppose 4*t = 20, 5*t = 2*p + t - 1348. Let l = p + -453. Suppose -5*v - 72 + l = -j, 2*v - 61 = 3*j. Is v a multiple of 19?
False
Let s = -2 + 25. Does 7 divide s?
False
Let g(h) = 3*h. Let y be g(1). Does 3 divide 5 + 2/2*y?
False
Let b(k) = k + 11. Let z be b(-11). Suppose z = -4*g + 72 - 4. Is 6 a factor of g?
False
Suppose -3 - 9 = 4*o. Let r(n) be the first derivative of -n**4/4 + 3*n**2/2 - 2*n + 2. Is r(o) a multiple of 8?
True
Let n(l) = -l**2 - 2*l**2 + l - 2*l - l**3. Let a be n(-3). Does 3 divide (0 - a/4)*-8?
True
Let u(k) = k**3 - 4*k**2 - 5*k + 4. Let o be u(5). Let s = 8 + -6. Let m = o - s. Does 2 divide m?
True
Suppose -14*b = -15*b. Suppose a - 9 + 1 = b. Is a a multiple of 2?
True
Let z(c) = -c**3 + 4*c**2 - 3*c. Let i be z(3). Suppose -2*b + 20 = -i*b. Does 7 divide b?
False
Let k(d) = d**2 - 5*d - 21. Let x be k(9). Suppose -5 = -2*o - 1. Suppose -o*a + 5*h + 25 = 0, 3*h - x = -2*h. Is 20 a factor of a?
True
Let b(d) = d - 2. Let q(t) = 2*t - 6. Let a(v) = -17*b(v) + 6*q(v). Does 23 divide a(-5)?
True
Let l = -5 + 11. Suppose -4*p = w - 14, w - 87 = -4*w - 3*p. Let i = w - l. Is i a multiple of 6?
True
Let z be (-1)/2 + 27/6. Is 11 a factor of z + -4 + 2 + 27?
False
Let b(f) = 5*f**3 + 2*f**2 - 4*f + 2. Let y be (4/8)/(2/8). Does 21 divide b(y)?
True
Let g be 3*3/((-27)/(-6)). Let h be 2*(41/g - 0). Suppose -4*d + h = -2*p - 25, -d - p + 24 = 0. Is d a multiple of 19?
True
Let x(f) = -f + 1. Let i(p) = p**2 + 17*p - 26. Let m(v) = i(v) + 6*x(v). Does 20 divide m(-15)?
True
Let b(r) = 14*r - 13. Is 19 a factor of b(5)?
True
Let t = 222 + -131. Suppose -411 = -5*x - t. Is x a multiple of 17?
False
Suppose -2*p + 0*p = -4. Suppose -g = p*g - 306. Does 17 divide (-2)/(-3)*g/2?
True
Let n(x) = x**3 + 8*x**2 + 6*x + 1. Is n(-6) a multiple of 37?
True
Is 2 a factor of -1*(-7 - (-3 - 1))?
False
Let n be (2 - 5)*25/(-15). Suppose 3*o + 12 = 0, -3*o + 12 = -4*b - 5*o. Let q = n - b. Is q a multiple of 3?
True
Suppose 4*p = -4*f + 84, 2*p = -5*f + 7*p + 135. Does 6 divide f?
True
Let p be 3/(9/123) + 1. Does 21 divide p/8*1*4?
True
Does 7 divide 3 - 12*(28/(-6) - -2)?
True
Let s(y) = -y**3 + 3*y**2 + 2*y. Let f be s(4). Let u(q) = -q**3 - 6*q**2 + 9*q + 11. Is 16 a factor of u(f)?
False
Suppose l = 4*g + 4*l - 137, 0 = -3*l - 15. Is g a multiple of 19?
True
Let b(g) = g**2 - 3*g - 6. Does 2 divide b(5)?
True
Let h = 170 - 119. Is h a multiple of 8?
False
Let f(n) be the third derivative of -n**4/6 - n**3/6 + n**2. Does 3 divide f(-1)?
True
Let j be 12*-1*12/(-36). Suppose -5*q - 5 = -3*n - 4*q, -j*n + 16 = q. Is n a multiple of 2?
False
Let j(x) = 2 - 6 - 32*x + 1. Does 16 divide j(-2)?
False
Let k(g) = 10*g**2 + 8*g + 1. Let o(t) = 10*t**2 + 7*t + 1. Let r(v) = -6*
|
{
"pile_set_name": "DM Mathematics"
}
|
ent from hlrlrhllhlr.
3/55
Calculate prob of picking 3 z when three letters picked without replacement from {m: 3, z: 3, h: 7}.
1/286
Calculate prob of picking 1 i, 1 y, and 1 o when three letters picked without replacement from ioyyhyxy.
1/14
What is prob of picking 3 s when three letters picked without replacement from srssrssrsrsrss?
3/13
What is prob of picking 2 n when two letters picked without replacement from {v: 5, g: 6, l: 1, n: 5}?
5/68
Three letters picked without replacement from mmmmpvmmkdvkpppv. What is prob of picking 1 m, 1 d, and 1 p?
3/70
What is prob of picking 1 r and 1 x when two letters picked without replacement from mremmrrxrerjrreexer?
16/171
What is prob of picking 3 v when three letters picked without replacement from {v: 10}?
1
Two letters picked without replacement from hobooxxioxbvhho. What is prob of picking 1 b and 1 o?
2/21
What is prob of picking 3 v and 1 u when four letters picked without replacement from uuuuuuvuuvuuuvvv?
11/182
Three letters picked without replacement from {m: 2, o: 5, v: 2}. Give prob of picking 1 o and 2 v.
5/84
What is prob of picking 1 i, 2 m, and 1 l when four letters picked without replacement from rirmrgmmlik?
1/55
Three letters picked without replacement from iejjjjieiyjje. Give prob of picking 2 j and 1 i.
45/286
Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, e: 9}.
1/22
Calculate prob of picking 1 a and 1 w when two letters picked without replacement from ccuacwbawcdawuc.
3/35
Three letters picked without replacement from {k: 7, q: 3, t: 5, y: 2, a: 1}. What is prob of picking 1 k and 2 q?
7/272
Four letters picked without replacement from sooooysjjsbobhssh. Give prob of picking 1 y, 1 o, and 2 b.
1/476
Four letters picked without replacement from {z: 1, t: 4, r: 3, u: 3}. Give prob of picking 3 r and 1 u.
1/110
Two letters picked without replacement from cchsidihch. What is prob of picking 1 h and 1 s?
1/15
Two letters picked without replacement from hhdhhaya. What is prob of picking 2 a?
1/28
Three letters picked without replacement from iakcpim. What is prob of picking 2 i and 1 m?
1/35
What is prob of picking 1 r and 1 s when two letters picked without replacement from {s: 3, r: 1}?
1/2
What is prob of picking 1 j and 1 d when two letters picked without replacement from {y: 3, j: 1, d: 1}?
1/10
Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {p: 4, z: 1, o: 7, x: 1}.
1/78
What is prob of picking 1 i and 1 o when two letters picked without replacement from ggdodgi?
1/21
Calculate prob of picking 1 p, 2 d, and 1 u when four letters picked without replacement from phahdupphpd.
2/165
What is prob of picking 1 s, 1 x, and 1 a when three letters picked without replacement from iasxapsx?
1/7
What is prob of picking 1 g and 1 n when two letters picked without replacement from jjnnnngnnggnngnnggng?
77/190
Three letters picked without replacement from {g: 1, q: 3}. What is prob of picking 2 q and 1 g?
3/4
Three letters picked without replacement from icoioiioitoiiioiiii. Give prob of picking 1 o, 1 c, and 1 t.
5/969
What is prob of picking 1 k, 1 y, and 1 t when three letters picked without replacement from ztkytvkztk?
3/40
Calculate prob of picking 1 s, 1 m, 1 v, and 1 d when four letters picked without replacement from {v: 1, d: 1, m: 2, h: 1, s: 2}.
4/35
Two letters picked without replacement from {y: 5, a: 5, p: 2}. Give prob of picking 2 a.
5/33
Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {y: 14, a: 5}.
140/969
Three letters picked without replacement from jjjbbzzzjzbj. What is prob of picking 3 b?
1/220
Two letters picked without replacement from {z: 9, y: 1, a: 2, j: 2, b: 3, o: 3}. Give prob of picking 1 z and 1 j.
9/95
Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, k: 7}.
6/55
Calculate prob of picking 1 o, 1 g, and 2 x when four letters picked without replacement from {g: 5, v: 1, t: 7, o: 1, x: 2}.
1/364
Three letters picked without replacement from fsvkfvfssfnvsvfk. Give prob of picking 1 k and 2 s.
3/140
Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 1, b: 3, i: 4}.
3/28
What is prob of picking 1 q and 1 o when two letters picked without replacement from {l: 1, r: 4, b: 3, w: 4, o: 2, q: 1}?
2/105
Two letters picked without replacement from {g: 4, n: 4, q: 10, d: 1}. What is prob of picking 1 n and 1 q?
40/171
Three letters picked without replacement from {h: 1, q: 1, i: 1, m: 1, g: 4}. What is prob of picking 1 i, 1 q, and 1 h?
1/56
Three letters picked without replacement from {z: 4, g: 1, j: 3}. Give prob of picking 2 j and 1 g.
3/56
Three letters picked without replacement from {c: 5, m: 3, a: 2, y: 1, t: 1}. Give prob of picking 1 c, 1 t, and 1 a.
1/22
Four letters picked without replacement from ooropyoou. Give prob of picking 3 y and 1 r.
0
Three letters picked without replacement from asssasssaasssshsahs. Give prob of picking 3 h.
0
Four letters picked without replacement from {f: 1, s: 9, k: 9}. What is prob of picking 3 k and 1 f?
7/323
Two letters picked without replacement from lrnlgr. What is prob of picking 1 l and 1 n?
2/15
Two letters picked without replacement from zzzmmmmzmmmmmmmmzmz. Give prob of picking 1 z and 1 m.
26/57
Two letters picked without replacement from nqqaaaeamnannenanme. What is prob of picking 2 n?
5/57
Calculate prob of picking 1 m and 1 z when two letters picked without replacement from zmmpt.
1/5
What is prob of picking 2 b and 1 x when three letters picked without replacement from {x: 1, k: 1, l: 1, u: 1, b: 2, v: 2}?
1/56
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from ylylhhlol.
1/18
Calculate prob of picking 1 k, 1 i, and 1 a when three letters picked without replacement from {n: 2, i: 3, k: 6, b: 1, a: 2}.
9/91
Four letters picked without replacement from fldwlfwvlfwdq. What is prob of picking 1 v, 1 f, and 2 q?
0
Four letters picked without replacement from duivuvc. Give prob of picking 1 v, 1 i, 1 d, and 1 u.
4/35
Four letters picked without replacement from vvjjfhj. Give prob of picking 2 v, 1 j, and 1 f.
3/35
Three letters picked without replacement from gggggggkgggkgggggg. What is prob of picking 2 g and 1 k?
5/17
What is prob of picking 1 c, 1 v, and 1 e when three letters picked without replacement from {c: 2, v: 4, e: 2}?
2/7
Three letters picked without replacement from {b: 2, a: 1, u: 1, v: 3}. Give prob of picking 1 b, 1 v, and 1 u.
6/35
Calculate prob of picking 2 b
|
{
"pile_set_name": "DM Mathematics"
}
|
rteen quarters of a centimeter in micrometers?
32500
What is 19/4 of a litre in millilitres?
4750
How many hours are there in fourty-three quarters of a week?
1806
How many millimeters are there in twenty-seven fifths of a centimeter?
54
What is 5701.992 meters in micrometers?
5701992000
How many millilitres are there in one twentieth of a litre?
50
How many milligrams are there in three fifths of a gram?
600
How many millilitres are there in 29/5 of a litre?
5800
What is 42.90035ng in grams?
0.00000004290035
How many months are there in seven thirds of a millennium?
28000
What is nine tenths of a hour in minutes?
54
How many decades are there in 59/5 of a century?
118
What is fourty-three halves of a year in months?
258
Convert 761.4099 kilograms to tonnes.
0.7614099
What is 3531.559ml in litres?
3.531559
What is 0.5473793 centuries in months?
656.85516
How many milligrams are there in 46712.89g?
46712890
How many nanograms are there in 49/4 of a microgram?
12250
What is 734443.7l in millilitres?
734443700
How many decades are there in fourty-three halves of a century?
215
What is 76.51203m in nanometers?
76512030000
How many months are there in 1/5 of a millennium?
2400
What is eighty-six thirds of a year in months?
344
How many centuries are there in 294238.92 months?
245.1991
What is 0.4127643 tonnes in kilograms?
412.7643
How many millilitres are there in 15/4 of a litre?
3750
What is three tenths of a litre in millilitres?
300
How many nanometers are there in sixty-seven fifths of a micrometer?
13400
How many years are there in 42.48209 decades?
424.8209
What is 7/15 of a minute in milliseconds?
28000
Convert 66.58419 milligrams to micrograms.
66584.19
What is 0.5176936 litres in millilitres?
517.6936
What is three fifths of a microgram in nanograms?
600
Convert 0.2572104 centimeters to millimeters.
2.572104
What is three tenths of a litre in millilitres?
300
What is one tenth of a microgram in nanograms?
100
How many micrometers are there in three tenths of a centimeter?
3000
Convert 55.37959cm to kilometers.
0.0005537959
Convert 86.20905 meters to centimeters.
8620.905
What is 666464.7 kilometers in micrometers?
666464700000000
How many micrograms are there in 47.41225 nanograms?
0.04741225
How many months are there in 3/32 of a millennium?
1125
How many centimeters are there in 15.11762km?
1511762
How many minutes are there in one sixth of a week?
1680
Convert 8457.301l to millilitres.
8457301
Convert 6.65799 millilitres to litres.
0.00665799
How many millilitres are there in 17/10 of a litre?
1700
What is 6987.762 kilometers in nanometers?
6987762000000000
How many millilitres are there in fifteen quarters of a litre?
3750
Convert 2.83529t to grams.
2835290
How many litres are there in 24.07546 millilitres?
0.02407546
What is 3/10 of a litre in millilitres?
300
What is fourty-one halves of a litre in millilitres?
20500
What is one twentieth of a millennium in years?
50
What is 17/2 of a litre in millilitres?
8500
What is 25/4 of a litre in millilitres?
6250
How many minutes are there in 13/4 of a week?
32760
Convert 0.0198305 nanograms to grams.
0.0000000000198305
What is 3912.731 years in millennia?
3.912731
How many litres are there in 753024.9ml?
753.0249
What is eleven halves of a micrometer in nanometers?
5500
What is seventeen halves of a litre in millilitres?
8500
How many months are there in 1/10 of a decade?
12
What is 74/5 of a litre in millilitres?
14800
How many micrometers are there in 2.650351 meters?
2650351
How many litres are there in 37200.11ml?
37.20011
What is 3/32 of a milligram in nanograms?
93750
What is 38/7 of a week in minutes?
54720
How many litres are there in 901973.6 millilitres?
901.9736
Convert 342.4055 decades to months.
41088.66
How many seconds are there in 83/3 of a hour?
99600
What is 18/5 of a litre in millilitres?
3600
How many months are there in 0.2082723 centuries?
249.92676
What is 17/4 of a microsecond in nanoseconds?
4250
What is 5/8 of a kilogram in grams?
625
Convert 5109.636 milligrams to tonnes.
0.000005109636
What is 1/5 of a kilogram in grams?
200
How many nanometers are there in 13/5 of a micrometer?
2600
How many months are there in three fifths of a decade?
72
Convert 720.0813 months to millennia.
0.060006775
What is 6.65601 litres in millilitres?
6656.01
How many litres are there in 0.7196022ml?
0.0007196022
How many weeks are there in 323243.9 days?
46177.7
Convert 7.383949ms to seconds.
0.007383949
Convert 0.0542954l to millilitres.
54.2954
What is nine tenths of a tonne in kilograms?
900
How many millilitres are there in thirty-one halves of a litre?
15500
Convert 2207286.9us to minutes.
0.036788115
What is 6/5 of a litre in millilitres?
1200
How many centuries are there in 59/5 of a millennium?
118
What is 0.7343949cm in kilometers?
0.000007343949
How many millilitres are there in 29/5 of a litre?
5800
What is fourty-one halves of a litre in millilitres?
20500
How many months are there in 0.3813953 millennia?
4576.7436
How many years are there in 0.9701434 centuries?
97.01434
What is 6265.527 litres in millilitres?
6265527
How many meters are there in 73.58082 nanometers?
0.00000007358082
What is twenty-seven halves of a millimeter in micrometers?
13500
What is thirteen quarters of a tonne in kilograms?
3250
How many hours are there in 47.49867 days?
1139.96808
How many hours are there in 0.2279741 days?
5.4713784
How many nanograms are there in 246.3718 tonnes?
246371800000000000
Convert 58203.91l to millilitres.
58203910
How many nanograms are there in eleven eighths of a microgram?
1375
How many millilitres are there in fifty-one halves of a litre?
25500
What is 8747.255 weeks in nanoseconds?
5290339824000000000
What is 1/4 of a hour in seconds?
900
How many years are there in 74/5 of a millennium?
14800
How many centimeters are there in 79671.89 meters?
7967189
What is 3/5 of a micrometer in nanometers?
600
Convert 0.290612 grams to micrograms.
290612
How many millimeters are there in 1.070644cm?
10.70644
How many milliseconds are there in 8/25 of a minute?
19200
What is one tenth of a millimeter in micrometers?
100
Convert 11050.03 weeks to days.
77350.21
How many millimeters are there in fifty-seven fifths of a meter?
11400
Convert 293011.26 seconds to minutes.
4883.521
How many millimeters are there in 61722.34cm?
617223.4
How many millennia are there in 9.696517 centuries?
0.9696517
How many weeks are there in 1.6278255 minutes?
0.0001614
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose k = v + 1. What is the lowest common multiple of d and v?
88
Suppose 13*g - 1790 = 8*g. Let y = 1313/950 - -676339/1900. Let m = y - g. Find the common denominator of m and 97/10.
20
Suppose -u - 3*u + 168 = 0. Let f be (7041/(-150))/(u/15). Let p = f - -1/70. What is the common denominator of 22/5 and p?
20
Let s be 6/15 + (1 - (-11666)/(-480)). Let q = s - -59/80. What is the common denominator of 53/2 and q?
6
Suppose -d = 4*d - z - 24, z = -5*d + 26. Suppose 2*p - 6 = -4*h, d*p + 7 = -2*h + 2*p. Calculate the smallest common multiple of 4 and h.
4
Suppose 0 = -2*r + 3*r. Find the common denominator of 10/(500/(-605)) + 0 and -1 - r - (-137)/6.
30
Suppose -126 = -0*x - 7*x. Calculate the least common multiple of x and (-214)/(-18) + 2/18.
36
Let o = 23 - 194. Calculate the common denominator of -1 + 0 + o/(-418) and (-3)/9 + (-130)/(-48).
88
Let x(a) = -a**3 + 4*a**2 - 2*a + 3. Let f be x(2). Let z = 8 + f. What is the smallest common multiple of 12 and z?
60
Let o be ((2 - -1) + -2)*3. Suppose -o + 117 = -5*d + 2*m, 2*d = -4*m - 60. Find the common denominator of -27/22 and (-44)/6*(-3)/d.
132
Let b = 0 + -5. Let z = b - -11/2. Find the common denominator of z and -16/7.
14
Suppose 0 = f - 40 + 5. Calculate the lowest common multiple of f and (141/27 - (-50)/(-225))*12/10.
210
Let x = 212791 - 104706. Let v = x - 15780333/146. Find the common denominator of 9/10 and v.
730
Let o(z) = -z**2 + z + 4. Let p be o(-4). Let w be (4/(-3))/(p/24). Calculate the common denominator of -111/10 and -1*w*(-165)/(-84).
70
Find the common denominator of (1 + 64)*8/(-180) and -3 - -4 - (-126)/(-16).
72
Let l = 5424 + -5419. Let y(a) = 3*a - 1. Calculate the smallest common multiple of y(1) and l.
10
Let k = 5 + 3. Suppose -14*r = -339 + 59. What is the smallest common multiple of r and k?
40
Let l = 38 + 22. Find the common denominator of -44/9 and (232/l)/(2/3).
45
Let q(r) = -r**2 + 13*r - 12. Let z be q(12). Suppose -4*m + 15 + 9 = z. Suppose 15 = -3*p + m*p. What is the lowest common multiple of p and 4?
20
Calculate the smallest common multiple of 12 - (1 - 4 - 3) and 2.
18
Suppose -2*z - q + 20407 = -7*z, -2*q + 4 = 0. Let p = z + 44922/11. Let o = 249 + -793/3. What is the common denominator of o and p?
33
Let v = 368 + -5494/15. Let j = 107551/18 - 5971. Calculate the common denominator of j and v.
90
Let l = 589 + 2350. Let v be l/(-2160) + 9/(-27). Let d = 16/135 - v. Calculate the common denominator of -113/6 and d.
48
Suppose 10*q - 4*d - 32 = 5*q, q - 4*d - 16 = 0. Suppose 1 = q*y - 3. Find the common denominator of y + -5 + (-45)/4 and 49/2.
4
Let x = -6737292/151 - -44618. Let j = x - -18563/1812. Find the common denominator of j and -73/8.
24
Suppose -2*j + 54 = -5*u - 84, 4*j - u - 240 = 0. Calculate the least common multiple of j and 5.
295
Let h = -32 + 301/9. Let l = -11687 - -292208/25. Calculate the common denominator of l and h.
225
Find the common denominator of (-6 + (-413)/(-70))*58/3 and -64/9.
45
Find the common denominator of -173/126 and (11/(-21) + 1)/((-57)/266).
126
Let h = -1/42110 - -263233/1916005. Find the common denominator of h and 97/112.
1456
Suppose 2*y = 5*q + 447, 3*y + 6*q = 3*q + 639. Calculate the lowest common multiple of 12 and y.
216
Suppose 0 = 4*i + 6*f - 3*f - 56, 3*i = -f + 47. Let k = -160/11 + i. Find the common denominator of 0 + -2 - 930/(-36) and k.
66
Suppose 3*f = 3*l - 12, -5*l + 20 = -0*f - 2*f. Let d be 1 + 17040 + -4 + f. Let n = 306769/18 - d. What is the common denominator of n and -67/14?
126
Let t(a) = -3*a - 2. Suppose -3*v + 3*y = 9, 4*y + 36 = -5*v + v. Let w be t(v). What is the common denominator of ((-140)/12)/(w/3) and 41/16?
16
Suppose -u + 78 = 4*o + 27, 5*o - 72 = -4*u. Calculate the smallest common multiple of 0 - -12 - 8/4 and o.
60
Suppose -8 = -3*k + 7*k. Let j = k + 12. Suppose 0 = 8*b - 4*b - 56. Calculate the lowest common multiple of b and j.
70
Suppose 5*u - 2667 = 4*p, 0*u + 3*p = -u + 522. What is the common denominator of -27/44 and (-3)/2*u/(-27)?
44
Let r(c) = 6*c - 3. Suppose -45 = -2*n + 3*a, -70*n + 72 = -67*n - 3*a. Calculate the smallest common multiple of n and r(3).
135
Suppose -17*a - 88 = -2*r - 15*a, 47 = r + 2*a. Calculate the lowest common multiple of r and 60.
180
Let r = 563/9 - 598/9. Calculate the common denominator of (36/(-24))/((-9)/49) and r.
18
Let b = -2/3205 - 10889/12820. Find the common denominator of (-205)/(-80)*(-3)/(-30) and b.
160
Let y(w) = 6*w + 66. Calculate the least common multiple of y(-9) and 28.
84
Let f(d) = 4*d**2 - 32*d. What is the smallest common multiple of 24 and f(10)?
240
Suppose l - 6 = -2*l, 0 = 3*b + 2*l - 4. Find the common denominator of (b + -1)/(21/(-6) + -1) and -77/36.
36
Calculate the common denominator of (((-738)/(-105) + -7)*2)/8 and -143/252.
1260
Calculate the common denominator of -145/6 and (-925)/(-125)*(-1)/13.
390
Suppose -5 + 14 = 3*l. Calculate the lowest common multiple of 334/22 - (-238)/(-1309) and l.
15
Let z = 28341/11 - 2580. What is the common denominator of (-51 + 3)*(-1)/10 and z?
55
Let g(l) = -2*l**2 - 25*l + 15. Calculate the lowest common multiple of 46 and g(-13).
46
What is the lowest common multiple of (6/5)/(15/25) and 292?
292
Let r = 190/37 - 1241/148. Find the common denominator of -7/142 and r.
284
What is the least common multiple of 6
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*j**5 + 0*j**3.
-3*j**5
Expand 5*n**4 - 3*n**4 - 3*n**4 + (-14*n - 47 + 47)*(0*n + 0*n - n**3).
13*n**4
Expand (-3*o**3 - o**3 + 7*o**3 + (3*o - 3*o + 2*o**3)*(2 - 3 + 0))*(-1 - 3 + 2).
-2*o**3
Expand (-t + 4 - 4)*(1 + 1 + 0)*(-8*t**2 - t**2 - t**2).
20*t**3
Expand 5*k**2 - 5*k**2 - 2*k**3 + (-5*k + 3*k + k)*(0*k**2 + 4*k**2 - 2*k**2) + 2*k**3 - 6*k**3 - 2*k**3.
-10*k**3
Expand (-o**3 - o**3 + 0*o**3)*(4 - 4 - o) + (o - 4*o + o)*(5 - o**3 - 5).
4*o**4
Expand (-3 + 7 - 3)*(2*v**2 - 2*v**2 - 3*v**4) - 2 - v**4 + 2.
-4*v**4
Expand (-3*m + 5*m + 5*m)*(m**2 - m**2 + 2*m**4)*(-5 + 0 + 1).
-56*m**5
Expand (-4*h + 3*h + 3*h)*(-17 + 3 - 4 - 3 + 1 + 1 - 1 - 3 + 2 - 4 + 1 + 1 + (3 - 2 - 2)*(-2 - 2 + 3) - 2 + 2 - 2 - 4 + 1 + 2 + 0 + 2 - 4 + 1 + 0 - 2).
-56*h
Expand (2*q + 0*q + 0*q)*((2*q**2 + 0*q**2 + 0*q**2)*(1 - 1 + 2) + q**2 + q - q).
10*q**3
Expand 28*r**3 - 51*r**2 + 51*r**2 - r**3 + 4*r**3 - 5*r**3 + (0 + 0 + 2)*(0*r - 2*r**3 + 0*r) + 5*r**3 - 4*r**3 - 3*r**3.
20*r**3
Expand (0*m + 0*m - 2*m)*(-m**4 + 2 - 2) + 3*m**3 - 3*m**3 - m**5 + m**5 - 3*m + 3*m + (-3*m + 2*m**4 + 3*m)*(2*m + 0 + 0).
6*m**5
Expand (11 - 11 - 2*f)*(3*f**2 - 5*f**2 + 0*f**2) - 10*f - 2*f**3 - 7*f + 0 - 1.
2*f**3 - 17*f - 1
Expand (2 - 2 + 2*v)*(-50*v**4 - 40*v**4 + 75*v**4).
-30*v**5
Expand (-5*n + 3*n + 7*n)*(-4*n**3 + n**3 + 0*n**3).
-15*n**4
Expand (0 + 0 - 1)*(0*h - h - h) + 5*h - 2 - 5*h + 2*h + (2*h + 4*h - 5*h)*(5 + 1 - 4) + 3*h - 4*h + 0*h.
5*h - 2
Expand (3 - 2*p + 3 - 4)*(-3 + 0 - 1) - 2*p + 60 - 60.
6*p - 8
Expand (-48*b**2 + 48*b**2 + 15*b**3)*(0*b**2 + 0*b**2 - b**2).
-15*b**5
Expand (2 - 1 - 5)*(2*u**4 + u**4 - 2*u**4)*(u - 2*u - 3*u) - 2*u**5 + u**5 - u**5.
14*u**5
Expand (99*w - 11*w + 48*w)*(-2*w**3 + 2*w**3 - 2*w**4).
-272*w**5
Expand (2 - 2 + 2)*(-24*a + 9*a + 17*a).
4*a
Expand (0*v + v - 3*v)*(6 - 5*v - 6 + (2*v + 3 - 3)*(2 + 2 - 5)).
14*v**2
Expand 26*c - 26*c + 9*c**2 + (-6*c**2 + c**2 + 4*c**2)*(3 - 5 + 3) + 1 + 2*c**2 - 1.
10*c**2
Expand -5*r**5 + 24*r**5 + 26*r**5 - 7*r**5 + 2*r**5 + 3*r**5 + (3 - 5 + 1)*(r**3 - r**3 + 2*r**5) + 4*r**4 + r**5 - 4*r**4 + 2*r**2 - 2*r**2 + r**5.
43*r**5
Expand -2 + 2 + 3*c**4 - c**3 + (1 + c**2 - 1)*(-2*c**2 - 3*c**2 + 3*c**2).
c**4 - c**3
Expand 0*q + 0*q - q**4 + q**4 - 3*q**4 - q**4 + (-2*q**2 - 2*q**3 + 2*q**2)*(3*q - 3*q + 3*q).
-10*q**4
Expand (3*h**2 + 45*h - 43*h - h**2)*(-2*h - 10 + 5*h + 11).
6*h**3 + 8*h**2 + 2*h
Expand (0 + 5 - 3)*(-2*w + 3*w + 0*w)*(1 + 1 - 4).
-4*w
Expand u - u + u + (0 - 1 + 2)*(2*u + u - 2*u) + 4*u - 5*u + 3*u.
4*u
Expand (-m + 0*m + 2*m)*(m**3 + 0*m**3 - 2*m**3) + (m**3 + 1 - 1)*(-2*m - m - m) + 0 + 0 + 2*m**4.
-3*m**4
Expand 3*q**3 + 0*q**3 - 5*q**3 + (4*q**3 + q**3 - 4*q**3)*(-3 - 2 + 6) + 5*q**3 - 7*q**3 - 2*q**3.
-5*q**3
Expand -b**2 + 2 + b - b - 3*b + 7*b**2 - b**2 - 3*b**2 + (b - 1 + 1)*(-b + b + b) - 5*b**2 + 3*b**2 + 0*b**2.
b**2 - 3*b + 2
Expand -4*z + 4*z + z**4 + (-3*z - 3*z + 5*z)*(-2*z**3 - z**3 + 5*z**3) - 3*z**4 + z**4 + z**4 + (0*z**3 - z**3 - 4*z**3)*(0*z - 3*z + z).
8*z**4
Expand (3*z**2 + 3*z**2 - 4*z**2)*(1 - 5 + 3) - 2*z**2 - z**2 + 4*z**2 - 18*z**2 - 9*z**2 + 16*z**2 + 3*z - 3*z + 2*z**2.
-10*z**2
Expand 6*k**3 + 8*k**2 - 8*k**2 + (-2*k**3 - k**3 - 2*k**3)*(5 - 4 - 3).
16*k**3
Expand 0*c**4 - c**4 - 2 + 5 + 2*c**2 - 2*c**2 - c**4 + (0*c**3 + 0*c**3 + c**3)*(0 + 0 + 2*c) + 11*c**4 - 5*c**4 + 2*c**4.
8*c**4 + 3
Expand -6*g - 7*g - 8*g + (-1 + 2 - 2)*(3*g - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Let p be n(3). Suppose 5*k - 130 = -0*b - 5*b, -2*b + p*k = -28. Calculate the remainder when b is divided by 12.
10
Let y = -138 + 133. Let p(r) = -r**2 - 7*r + 13. What is the remainder when p(y) is divided by 6?
5
Let x(v) = v**2 + 2*v - 25. Calculate the remainder when x(11) is divided by 21.
13
Let o = -1990 + 2004. Calculate the remainder when 1245 is divided by o.
13
Let i(t) = 11*t + 67. Let u be i(-4). Let k = -3 - -2. Let d = u + k. What is the remainder when d is divided by 12?
10
Let p(c) = -c**3 - 11*c**2 - 9*c + 18. Let n be (-13 - -4) + -5 + 4. What is the remainder when p(n) is divided by 3?
2
Let y(f) = 18*f - 6. Calculate the remainder when 358 is divided by y(1).
10
Let p(q) = q - 46 + 9 - 34*q. What is the remainder when p(-5) is divided by 44?
40
Suppose -4*u - 24 = -76. What is the remainder when 192 is divided by u?
10
Let l be (2/(-3))/((-8)/36). Suppose -l*r = r - 36. Suppose -d - r + 44 = 0. Calculate the remainder when d is divided by 12.
11
Let b be 5 - ((-2)/2 - -1). Suppose d - 4*g - b = 0, 3*d + 5*g - 79 = g. Suppose -d = -2*o + 41. Calculate the remainder when o is divided by 16.
15
Let f = -20 + 101. Suppose -3*c + 300 - f = 0. What is the remainder when c is divided by 25?
23
Let u = 2461 + -2030. What is the remainder when u is divided by 62?
59
Suppose -4*q = -2*s - 6, -2*s - 5*q = -13 - 17. Calculate the remainder when s is divided by (301/28 - 7) + 3/12.
1
What is the remainder when 119 is divided by (2 - 15/(-5)) + 29?
17
Let f be 1/(-5) + 64/20. Suppose 5*i - 4*v - 36 = -12, 0 = -2*i - f*v + 5. What is the remainder when i is divided by 4?
0
Let r(m) = -m**3 - m**2 - m + 15. Let z be r(0). Let p(n) = -n + 31. What is the remainder when 93 is divided by p(z)?
13
Let o(n) = n + 18. Let l be o(-16). Suppose -l*z = 5*j - 0*j - 104, -4*z + 220 = 4*j. What is the remainder when z is divided by 20?
17
Suppose 0 = 4*o - 27 - 21. Suppose -o*f + 15*f = 153. What is the remainder when 200 is divided by f?
47
Suppose 2*j - 7 = 1. Suppose j*s + 1 = 2*h + 15, -2*s - 2*h + 22 = 0. Let w = -44 + 67. Calculate the remainder when w is divided by s.
5
Let u = 1667 + -1645. What is the remainder when u is divided by 9/(2 + (-5)/4)?
10
Let i be (1 - (-52)/(-24))*3*6. Let q = i + 23. Suppose -2*v - 5*j + 7 = -4*j, 4*v - 4*j = -16. What is the remainder when q is divided by v?
0
Let h be (-1 + 0)*(-1 + 1). Let w be 6/(h - (-3)/4). What is the remainder when 26 is divided by w - (-3)/(9/3)?
8
Let a = 400 - 388. What is the remainder when 1149 is divided by a?
9
Let x(w) = -w + 17. Let r be x(10). Let m(j) = -r*j**3 - 5*j**2 + 3 - 3*j + 8*j**3 - 1 - j**2. Calculate the remainder when 89 is divided by m(7).
29
Let m be 0 - 2 - (0 + -37). Let c = 58 - m. Suppose 2*v - 16 = -2*i, 0 = 4*v - 0*i + 5*i - 32. Calculate the remainder when c is divided by v.
7
What is the remainder when ((-495)/(-30) + -1)*(5 + 1) is divided by 4?
1
Suppose m + 3*m = 28. Suppose m*n - 11*n + 16 = 0. Let q = -22 + 33. Calculate the remainder when q is divided by n.
3
Suppose 75 = 3*d - 69. Let i be 2/8*0 - -2. Suppose -i*j = 3*y - 32, -2*j - 4*y = -2*y - 28. Calculate the remainder when d is divided by j.
8
Suppose 4*f = -5*r - 254 + 1202, 5*r + 2*f - 944 = 0. Calculate the remainder when r is divided by 49.
41
Let u = -201 - -113. Let p = 163 + u. Calculate the remainder when p is divided by 6.
3
Calculate the remainder when 1065 is divided by 96 - (-56)/(-72)*9.
86
Calculate the remainder when ((-27)/9 - -63) + -7 is divided by 31.
22
Let p(s) = s**3 - 8*s**2 - 6*s - 7. Let t be p(4). Let h = -86 - t. Calculate the remainder when 35 is divided by h.
8
Let d = -606 + 622. Let a(z) = 841*z + 1. Let n be a(1). Calculate the remainder when n/18 + (-2)/(-9) is divided by d.
15
Calculate the remainder when 2*6/(-8)*(-610040)/606 is divided by 14.
12
Calculate the remainder when (-2)/((-2)/34*2) is divided by (-2 - (-5)/3)*1890/(-63).
7
Let z(h) = h**3 + 3*h**2 - 4*h + 4. Suppose -y + 0 = 4. Let x be z(y). Let j(k) = 3*k**2 - 3*k - 1. What is the remainder when j(x) is divided by 18?
17
Let f(h) = 43*h + 667. Calculate the remainder when 179 is divided by f(-14).
49
Suppose 3*j = -2*j + 45. Let d(o) = o**2 - 7*o - 8. Calculate the remainder when 26 is divided by d(j).
6
Let h = -590 + 992. What is the remainder when h is divided by 57?
3
Suppose 3*u + 3*l + 6 = 0, -4*l + 3 = -l. Suppose -6*k = 25 - 67. What is the remainder when ((-26)/(-3))/(u/(-9)) is divided by k?
5
Let i = -250 + 299. Let b(z) = z**3 - 6*z**2 - 2*z - 9. What is the remainder when i is divided by b(7)?
23
Let t(d) = -2*d**2 - 18*d - 10. What is the remainder when 40 is divided by t(-8)?
4
Let v = 16 + 9. Suppose 4*r = -2*f - 8, -3*f - 10 = -7*f + 5*r. Suppose 2*w = 2*b - 154, f*b - 4*w = 4*b - 284. Calculate the remainder when b is divided by v.
24
Suppose 4*u = 89 + 19. Suppose 0 = 2*p - u - 11. What is the remainder when p is divided by (-46)/(-6) - 4/6?
5
Let i = 696 + -649. What is the remainder when i is divided by 36?
11
Let m = 6 + 103. Suppose 5*w - 77 + 32 = 65. Calculate the remainder when m is divided by w.
21
Let y be ((-22)/(-3))/(4/6). Let s = -169 - -177. Let j = y - s. What is the remainder when 5 is divided by j?
2
Let y = -11 + 51. Let d be 64/y*15/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
xpand (-31*p - 3*p - 13*p)*(-1 - 2*p - 3 + 2).
94*p**2 + 94*p
Expand ((1 - c - 1)*(1 + 2 - 5) + 4*c - 2*c + 0*c)*(-537 - 533 + 1098).
112*c
Expand (-3 + 4 + 5)*(-3 + 0 + 4)*(28*o**4 + o**2 + 49*o - 7*o**4 - 45*o).
126*o**4 + 6*o**2 + 24*o
Expand ((-3 + 5 - 4)*(3*f + 2*f - 4*f) - 3 + 3 + f)*(-2 + 6 - 2).
-2*f
Expand (5 - 4*w - 5)*(-2*w - 9*w - 7*w) + 5*w**2 - 4*w**2 - 4*w**2 + (1 + 3 - 6)*(w - w + 3*w**2) + 0*w**2 + w**2 + w**2.
65*w**2
Expand -i**3 + 4*i**3 + 0*i**3 - 5*i**3 + 2*i**3 + 5*i**3 + (0 - 2*i**2 + 0)*(3*i + 2*i - 7*i) + i - i**3 - i + 4*i**3 - i**3 + 0*i**3.
11*i**3
Expand -8187 + 8187 + 3*d**5 + (2*d + 2*d - 2*d)*(-d**3 + d**3 + 2*d**4).
7*d**5
Expand (-340 - 76*n**2 + 340)*(6 - 7 - 8)*(-3 + 4 - 2 + (-2 + 1 - 1)*(3 - 4 + 0)).
684*n**2
Expand (2*t**2 + 0*t**2 - 3*t**2)*(t - 4 + 4).
-t**3
Expand (1 - 5 + 0)*(-1 + 2 - 6)*(-b + 4*b - b)*(-2*b + 3*b + 3*b).
160*b**2
Expand (4*n - 5*n + 3*n)*((-40 + 40 + 19*n)*(1 - 4 + 1) - n - 5*n + 5*n).
-78*n**2
Expand (-3*s**2 + 20*s**2 - 2*s**2)*(16*s + s - 3*s)*(s - 3*s + 3*s)*(1 - 1 - 2*s).
-420*s**5
Expand (-2*x**2 + 0 + 0)*(18 + 17*x**2 - 18) + (3*x - 7*x + 3*x)*(-3*x**3 + 2*x**3 + 0*x**3) - x**4 - 5*x**4 + x**4.
-38*x**4
Expand (5 - 2 - 5)*(-6*z + 2*z + 3*z + 3*z - 7*z + 2*z + z - z + z + (1 + 1 + 0)*(z + 0*z - 2*z) + 63 - 63 - 7*z).
22*z
Expand 3 - 4*g - 3 + (-3 + g + 3)*(2 + 4 - 4) - g + 3 - 3 + (-2 + 0 + 0)*((5 - 2*g - 5)*(5 - 1 - 3) - 37 + 37 + g - g - 1 + 1).
g
Expand (-24 + 48 + 53)*(5*d - d - 2*d + (-d - d + 0*d)*(-3 + 2 - 1)).
462*d
Expand (2*w + 2*w + w)*(-w + w - w**2) - 4*w + 4*w - 2*w**3.
-7*w**3
Expand -4*f + 2*f + 0*f + (-20 + 9 - 47)*(-f - 2*f - 2*f).
288*f
Expand (x**2 + 3*x**2 + 0*x**2)*(-4 + 4 + x**2) + 5*x**4 - 6*x**4 - 10*x**4.
-7*x**4
Expand (4 - 4 - 12*w)*(2*w**2 + 0*w**2 - w**2) + (-2*w**3 + 0*w**3 + w**3)*(3 - 5 + 3).
-13*w**3
Expand 1 - 1 + x + (-5*x - 2*x + 5*x)*(0 - 1 + 3) + 75*x - 66*x - 32*x + x + 0 + 0.
-25*x
Expand (-9 + 7*i + 9)*(-2 - 1 + 2) + 2*i + 0*i - 4*i - i + 2 - 2.
-10*i
Expand (1 - 14 - 10)*(0 - 4 + 5)*(-3 - j**2 + 3)*(j**2 + 5*j**2 + 0*j**2).
138*j**4
Expand (12*y + 18*y - 24*y)*(0 - 6 + 4 + (-2 - 1 + 5)*(0 - 2 + 4)).
12*y
Expand (0 + 0 - 2*c)*(-1 - 2*c**2 + 1) + (0*c**2 + 2*c**2 - c**2)*(71*c + 5*c + 352*c).
432*c**3
Expand (-4*x**3 + 9*x**3 + 2*x + x)*(0*x - 2*x + x)*(-11 + 8 - 15).
90*x**4 + 54*x**2
Expand (5*r + r - 4*r)*(-20*r + 17*r + 33*r).
60*r**2
Expand a - a - 3*a + (-10*a - 8*a + 4*a)*(1 - 2 + 0) - 3*a + 0*a - a + 2*a - 3*a + 2*a.
8*a
Expand (18*y**2 + 293*y - 4 - 577*y + 285*y)*(-y - y + 3*y).
18*y**3 + y**2 - 4*y
Expand (-5*r**4 + 15*r**4 - 6*r**4 - 2*r**2)*(2*r + 0 + 0) + (191*r - 191*r - 17*r**2 - 2)*(3*r - r**3 - 3*r).
25*r**5 - 2*r**3
Expand 7*g**3 - 7*g**3 + 4*g**4 + (5 - 5 + g**3)*(-1 - g + 1) - 4*g**4 + g**4 + g**4.
g**4
Expand (-3*p**4 + 4*p - 4*p)*(6 - 6 + p + (-3 + 4 + 1)*(-2*p - p - p)).
21*p**5
Expand (-k + 0*k + 3*k)*(-348 + 692 + 25*k - 341).
50*k**2 + 6*k
Expand (2*q**2 + 2*q**2 - 3*q**2)*(-34*q**2 - 2676 + 2676)*(4 + 1 - 3) + (-4*q + 0*q + 3*q)*(q**3 + 0*q**3 - 5*q**3).
-64*q**4
Expand -2*y - 5 - 2 - 1 + (-1 + 4 - 2)*(y - 14*y - 2*y).
-17*y - 8
Expand (0*a**3 + 4 + 2*a**3 + 0*a**3)*(140*a - 91*a + 265*a).
628*a**4 + 1256*a
Expand (-6*f - 17*f - 11*f)*(2 - 2 + f)*(-f**2 + f**2 - 3*f**2).
102*f**4
Expand (-3*o**2 + 2*o**2 + 2*o**2)*(-118*o**2 + 145*o - 145*o).
-118*o**4
Expand 3*f**2 + 4*f**2 - 6*f**2 + (6*f - 4*f + 0*f)*(0 + 2*f + 0) - f**2 + 2*f**2 - 2*f**2 + 5*f**2 - 4*f**2 + f**2 - 22*f**2 - 121*f + 121*f.
-16*f**2
Expand -30*h**3 - 4*h**3 + 8*h**3 - 31*h**3 + (h - h - h**2)*(-h - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
)?
False
Let g(b) = b**3 + 7*b**2 - 6*b - 2. Does 14 divide g(-6)?
True
Does 20 divide (-1)/(-4) - 239/(-4)?
True
Suppose 105 = -11*x + 6*x. Let n = 36 + x. Is n a multiple of 10?
False
Let a = 1 - -20. Is 7 a factor of a?
True
Let r be -9 + 5 - -111*1. Let b = -76 + r. Is 15 a factor of b?
False
Let y(q) = -q + 1. Let v be y(-6). Suppose -6*p - 4 = -v*p. Does 11 divide 0 + p/2 + 20?
True
Let z = 42 - -7. Does 7 divide z?
True
Let j be 2 - ((3 - 1) + -2). Let w = -2 + j. Suppose -d = -w*d - 17. Does 17 divide d?
True
Let m(r) be the first derivative of 13*r**3/3 + r + 6. Is m(1) a multiple of 7?
True
Suppose -7*k = -4*k - 9. Suppose h - 13 = -k. Does 10 divide h?
True
Suppose -4*r + u + 0*u + 1 = 0, 2*r - 2*u - 8 = 0. Let a be r/((-3)/(1 - -20)). Does 6 divide (a + 1)/2 - -2?
True
Suppose -3*c + 225 = 3*y, 0*c - 4*c = -2*y + 144. Is y a multiple of 28?
False
Let c be (-4 + 6)/((-2)/(-32)). Let k = 57 - c. Does 12 divide k?
False
Suppose 2*j = -2*j + 12. Suppose -i - 3*i - 3 = j*b, -13 = -i + 2*b. Suppose 0 = -2*q - i + 51. Does 16 divide q?
False
Let d = 57 + -37. Let n = d + -6. Is n a multiple of 4?
False
Suppose -h - 21 = 2*h. Let n(x) = -x**3 - 7*x**2 - x + 9. Is n(h) a multiple of 8?
True
Let m(f) = 4*f + 3. Let s be m(-8). Let c = s + 49. Is 18 a factor of c?
False
Does 24 divide 1*11/(11/24)?
True
Let g be 2/11 - (-155)/55. Suppose -15 - 9 = -g*k. Does 4 divide k?
True
Let d = -2 - -8. Suppose -27 = -l + d. Is 11 a factor of l?
True
Suppose -6 + 2 = o. Let k(t) = t**3 + 4*t**2 - 4*t - 1. Does 15 divide k(o)?
True
Let c(z) = z**3 + 7*z**2 - 2*z. Let p(w) = 4*w + 5. Let o be p(-3). Is c(o) a multiple of 3?
False
Suppose 2*o = -3*f + 93, 3*f + 88 = 2*o + f. Is 23 a factor of o?
False
Let d = -3 + 6. Suppose -82 + 22 = -d*j. Is j a multiple of 11?
False
Suppose -23 = -a + 3*a + p, -2*a + p = 13. Let t = -6 - a. Is t a multiple of 2?
False
Suppose -75 = -3*k - 24. Suppose -4*u = -39 - k. Is u a multiple of 7?
True
Let p(t) = -t + 5. Let g be p(5). Suppose -15 = -3*h + 5*b, 5*h + 3*b - 25 = -g*b. Is h a multiple of 2?
False
Suppose 0 = 5*y + 14 - 254. Does 16 divide y?
True
Suppose -d = -4*d + n, 3*d - 9 = 4*n. Is (2 + d)/((-1)/(-30)) a multiple of 10?
True
Let m = 217 + -127. Does 15 divide m?
True
Let a(o) = -o**3 - 24*o**2 - 32*o - 39. Does 12 divide a(-23)?
True
Suppose 18 = -5*a - a. Suppose 3*u - 3*g + 155 = -259, -3*g - 126 = u. Does 15 divide ((-4)/(-6))/(a/u)?
True
Suppose 674 = 4*g + 5*b, -5*b + 14 - 4 = 0. Suppose -5*h + 4*d + 109 = 0, g - 45 = 5*h - d. Does 4 divide h?
False
Suppose 45 = -3*z + 3*u - 99, -5*u = 2*z + 117. Let i = -13 - z. Does 10 divide i?
False
Suppose -s = -5, s = 5*r - 1576 - 159. Does 29 divide r?
True
Suppose -7 = l - 4*l + 2*i, l - 6 = -3*i. Let z be (-9)/l*(-24)/9. Suppose -z = 2*p - 36. Is p a multiple of 7?
True
Let h(l) = 17*l**3 - l. Is 5 a factor of h(1)?
False
Let k(x) = 4*x**3 + 13*x**2 - 4*x**2 + 7 + 2 - 5*x**3. Is 5 a factor of k(9)?
False
Suppose -3*t = -3*x - x + 162, 2*x - 82 = t. Is x a multiple of 13?
False
Suppose 0 = -13*t + 15*t - 190. Is t a multiple of 7?
False
Let k = -13 - -17. Suppose 2*v = 0, -5*w + 57 = -k*v - 23. Does 5 divide w?
False
Suppose -3*t - 34 - 56 = 5*b, 5*b = 3*t - 60. Does 2 divide (-70)/b + (-1)/(-3)?
False
Let k = 127 - 60. Suppose k = 6*w - 137. Does 34 divide w?
True
Let y(a) = -a**3 - 11*a**2 + 15*a - 30. Is y(-14) a multiple of 33?
False
Does 15 divide (-8)/12 + 357/9?
False
Suppose 5*r - 6 - 9 = 0. Suppose r*n - 38 = 88. Does 14 divide n?
True
Let a = 0 + 3. Suppose x + a*x - 24 = 0. Let u = -3 + x. Is u even?
False
Let i(g) = -11*g + 18. Is i(-9) a multiple of 12?
False
Suppose 2*q + 135 = -3*q. Is 12 a factor of (-357)/q + 4/(-18)?
False
Suppose 2*r - 4*a - 880 = -2*r, -3*a + 208 = r. Is r a multiple of 18?
False
Suppose -2*b + 0 = -r + 4, 4*r - 4*b = 16. Does 2 divide r?
True
Let f(n) = -5*n - 6. Let g = -3 + 1. Let p = -2 + g. Is 6 a factor of f(p)?
False
Suppose -5*y = 5 + 5. Let c be (y/(-5))/(10/25). Let h = 4 - c. Does 3 divide h?
True
Let x = -1 + 5. Suppose c - x = -c. Is 12 + 2 - (c - 1) a multiple of 13?
True
Suppose 3*y + 3 - 6 = 0. Let k = y + -4. Is 0 - -1 - (k - 21) a multiple of 17?
False
Let y(t) = t**2 + 4*t - 7. Let x = -7 + 1. Is y(x) a multiple of 5?
True
Let r be ((-8)/10)/((-1)/(-25)). Let y = 42 + r. Is 10 a factor of y?
False
Let n be (-2)/(-5) + 826/10. Suppose 4*i = n + 53. Is i a multiple of 6?
False
Suppose 2*z - 6*z = 0. Suppose z = -2*f + 102 + 32. Is 21 a factor of f?
False
Let d = 8 - 5. Let k be (1 + (-3)/2)*0. Suppose k = -8*v + d*v + 60. Does
|
{
"pile_set_name": "DM Mathematics"
}
|
years are there in 64838.51 millennia?
64838510
How many nanometers are there in 19023.17mm?
19023170000
Convert 2486324.7us to days.
0.00002877690625
What is 6730.934mg in micrograms?
6730934
What is 80.85528ml in litres?
0.08085528
How many millilitres are there in twenty-six fifths of a litre?
5200
Convert 8.727477nm to micrometers.
0.008727477
How many weeks are there in 1546.333551 milliseconds?
0.0000025567684375
What is one tenth of a tonne in kilograms?
100
What is 6/5 of a litre in millilitres?
1200
How many decades are there in thirty-one halves of a century?
155
Convert 453095.1 nanoseconds to hours.
0.00000012585975
How many milligrams are there in 0.2465968ug?
0.0002465968
How many seconds are there in fourty-two fifths of a minute?
504
Convert 478.9005km to millimeters.
478900500
What is 86.44374 centuries in millennia?
8.644374
How many kilometers are there in 0.3670167 meters?
0.0003670167
What is 79039.93cm in kilometers?
0.7903993
What is 43/2 of a litre in millilitres?
21500
Convert 739358.3mm to micrometers.
739358300
Convert 235208.718s to days.
2.722323125
What is 3/5 of a millennium in months?
7200
What is 7/4 of a litre in millilitres?
1750
What is 0.4203721 micrograms in milligrams?
0.0004203721
What is 1/24 of a millennium in months?
500
What is 57/2 of a litre in millilitres?
28500
Convert 681.4459 centuries to decades.
6814.459
What is twenty-seven quarters of a meter in centimeters?
675
How many microseconds are there in one tenth of a second?
100000
What is thirty-three fifths of a tonne in kilograms?
6600
What is 65604.31ml in litres?
65.60431
Convert 812.8108 years to centuries.
8.128108
How many hours are there in 2120.292 days?
50887.008
What is 61/2 of a day in minutes?
43920
Convert 533720.1ml to litres.
533.7201
What is 26/5 of a millennium in centuries?
52
How many seconds are there in five eighths of a day?
54000
How many millilitres are there in one quarter of a litre?
250
How many centimeters are there in 4121.04m?
412104
How many millilitres are there in fifteen quarters of a litre?
3750
How many millimeters are there in seven halves of a meter?
3500
How many seconds are there in 0.1856929 minutes?
11.141574
How many weeks are there in 813167.964 milliseconds?
0.00134452375
How many grams are there in 18/5 of a kilogram?
3600
What is 1.952991mg in nanograms?
1952991
How many millimeters are there in 11/2 of a centimeter?
55
How many nanoseconds are there in 59.65847 days?
5154491808000000
What is 0.7158566mm in meters?
0.0007158566
How many millilitres are there in three eighths of a litre?
375
What is 52.21871 millennia in years?
52218.71
What is thirty-one fifths of a centimeter in millimeters?
62
Convert 4.088797kg to micrograms.
4088797000
What is 0.9005916 nanograms in micrograms?
0.0009005916
What is 11/4 of a micrometer in nanometers?
2750
Convert 0.9621349 meters to kilometers.
0.0009621349
Convert 9.88447 seconds to microseconds.
9884470
What is one tenth of a millimeter in micrometers?
100
What is 27.718056 microseconds in minutes?
0.0000004619676
How many millilitres are there in 6.019552 litres?
6019.552
What is 1/5 of a millennium in decades?
20
Convert 0.1460738 tonnes to micrograms.
146073800000
How many millimeters are there in twenty-one eighths of a meter?
2625
Convert 13244307.3ms to weeks.
0.02189865625
What is 64.82575 milligrams in grams?
0.06482575
How many litres are there in 27015.73ml?
27.01573
What is 2.295446 litres in millilitres?
2295.446
What is 1/20 of a meter in millimeters?
50
Convert 74.50504 decades to years.
745.0504
Convert 96.7424cm to millimeters.
967.424
How many decades are there in 859619.6 centuries?
8596196
What is 377.22 months in millennia?
0.031435
What is four fifteenths of a day in minutes?
384
What is 7/4 of a litre in millilitres?
1750
How many milligrams are there in eleven quarters of a gram?
2750
What is seventeen quarters of a kilogram in grams?
4250
What is thirty-three fifths of a kilometer in meters?
6600
Convert 1800.149ug to milligrams.
1.800149
What is 4.334884 kilograms in grams?
4334.884
How many millennia are there in 0.375556 centuries?
0.0375556
How many seconds are there in 19.59282 days?
1692819.648
What is 0.1597042 centuries in millennia?
0.01597042
What is 2/15 of a week in minutes?
1344
What is 12/25 of a millimeter in micrometers?
480
How many centuries are there in 2.479298 years?
0.02479298
What is one fifth of a litre in millilitres?
200
How many minutes are there in 930.9222 days?
1340527.968
What is 13/5 of a litre in millilitres?
2600
How many meters are there in 17/4 of a kilometer?
4250
How many centimeters are there in three fifths of a meter?
60
How many millilitres are there in three tenths of a litre?
300
What is 64/5 of a milligram in micrograms?
12800
What is ten thirds of a year in months?
40
What is twenty-five halves of a milligram in micrograms?
12500
What is 7/16 of a centimeter in micrometers?
4375
What is 659.6884ml in litres?
0.6596884
How many millilitres are there in 25/8 of a litre?
3125
Convert 9.63912 litres to millilitres.
9639.12
What is 6935.453 millilitres in litres?
6.935453
How many milliseconds are there in 1057.54 weeks?
639600192000
What is 1254.909 decades in months?
150589.08
What is 7/2 of a litre in millilitres?
3500
How many months are there in 5/6 of a millennium?
10000
What is twenty-seven fifths of a litre in millilitres?
5400
Convert 6.65368 nanoseconds to milliseconds.
0.00000665368
How many minutes are there in fourteeen ninths of a week?
15680
Convert 8.742557 meters to micrometers.
8742557
What is seventeen quarters of a kilometer in meters?
4250
Convert 76394.83 millennia to months.
916737960
What is twenty-one halves of a micrometer in nanometers?
10500
How many micrograms are there in 1/16 of a gram?
62500
How many nanoseconds are there in 45.54116 days?
3934756224000000
What is 5878.518mm in meters?
5.878518
How many grams are there in 5/4 of a kilogram?
1250
How many months are there in 6.311231 millennia?
75734.772
How many seconds are there in 568.9617 days?
49158290.88
How many millimeters are there in seven halves of a centimeter?
35
What is 8.608315 milligrams in kilograms?
0.000008608315
What is 3/40 of a centimeter in micrometers?
750
What is 507.3451 years in millennia?
0.5073451
How many centuries are
|
{
"pile_set_name": "DM Mathematics"
}
|
+ t and give t.
0
Rearrange 22*i - 5*i + 17 - 28*i - 68*i to n + g*i and give g.
-79
Rearrange 2 - 2*c**2 - 7*c**2 - 34*c**3 + 10*c**2 - c to the form v*c**2 + w*c**3 + t*c + m and give m.
2
Rearrange (-1 + 2 - 3)*(-3*b + 3*b + 5*b**2) + (b + 0*b + 0*b)*(-3*b + 0*b - b) to the form c*b + v*b**2 + l and give l.
0
Express -2*w**4 - 2*w + 10*w**3 - 4 - 2*w**2 + 3*w**3 + 9 - 5 in the form c*w**4 + x*w**3 + y*w**2 + n + d*w and give d.
-2
Express -257 + 451 - 2*j**3 + 6*j**3 - 220 + 2*j as c*j + l*j**3 + q*j**2 + w and give c.
2
Rearrange -62*g - 1612*g**2 + 180*g - 60*g - 58*g to the form z + d*g + f*g**2 and give f.
-1612
Express 86*x + 18817 - 18817 in the form v + d*x and give d.
86
Express -13 - 36*n - 307*n**2 + 13 + 36*n as r + o*n + i*n**2 and give i.
-307
Rearrange 161*c**2 - 76*c**2 - 105*c**2 - 3 to the form b*c + x*c**2 + l and give l.
-3
Express (-1 - 5 + 2)*(4*l - 2*l + 2*l) - 3*l - l + 3*l - 5*l - l + 3*l - 4*l + 3*l - 2*l - 4*l - 3*l + 6*l + (2 - 1 - 2)*(l - 5*l + 5*l) as y*l + v and give y.
-25
Express -c - 876179 - 263*c**2 + c + 876179 as z*c + n*c**2 + f and give n.
-263
Express (25 - 10 + 15)*(-11*h + 34*h - 41 + 39) in the form m + y*h and give m.
-60
Rearrange -21*c**2 + 5 - 20*c**2 + 1 + 0 + 10*c**2 to l + p*c**2 + k*c and give p.
-31
Express -40*g + 16*g + 12*g - 1 + 27*g**3 + 11*g as a*g + f*g**2 + j*g**3 + s and give a.
-1
Rearrange -17*q - 19*q + 32*q + (-1 + 1 - 1)*(-q + 2 - 2) to the form l + s*q and give s.
-3
Express -12*m**4 + 120*m**2 + 114*m**2 - 233*m**2 + m - 23*m**4 - 2 as p + j*m + a*m**4 + y*m**3 + r*m**2 and give j.
1
Rearrange (2*q**2 - q**2 - 7*q**2)*(2 - 50*q + 96*q - 1) to i + d*q**3 + x*q**2 + o*q and give d.
-276
Rearrange 2*f**3 - 244*f + 29*f + 30*f + 62*f to the form p*f**2 + b*f**3 + x + q*f and give x.
0
Express (72*c + 72*c - 167*c)*(-4 + 0 + 17)*(-2*c + 2*c + c**2) in the form k*c**2 + w + u*c + y*c**3 and give y.
-299
Rearrange -5*l - 327*l**4 + 160*l**4 - l**2 + 164*l**4 + 4 to the form g*l**4 + k*l + x*l**3 + u + n*l**2 and give g.
-3
Rearrange -572*z**2 + 2426031 - 2426031 to p*z + a*z**2 + x and give a.
-572
Rearrange (-2*l**2 + 30*l - 32*l + 30 + 9)*(0*l - 3*l - 2*l) to y*l**2 + c*l**3 + x + a*l and give c.
10
Rearrange (4*d + 2*d**2 - 4*d)*(13*d - 48*d - 9*d - 4) to w*d**3 + b*d + i*d**2 + c and give i.
-8
Rearrange (3*z - 5*z + 13*z + (2 - 2 + z)*(-2 + 5 - 1) - 4 - 2*z + 4)*(23*z - 2*z - 4*z) to g + v*z + h*z**2 and give h.
187
Express 120*q - 63*q - 1 + 4*q**3 - 58*q in the form s + z*q + t*q**2 + n*q**3 and give z.
-1
Express -16*w**2 + 287 - 28*w**2 - 21*w**2 + 66*w**2 in the form y*w + n*w**2 + a and give n.
1
Express -5*g - g - 5*g + (3 + 2 + 6)*(3*g - 4 + 4) in the form v*g + m and give v.
22
Express -10*f**4 - 2*f**3 - 20*f**4 - 5*f**2 - 9*f**4 + 1 + 35*f**4 in the form i*f**4 + t*f + g + w*f**3 + y*f**2 and give y.
-5
Rearrange 28*g**2 + 67*g**2 - 3 + 54*g**2 + 3 to the form b*g**2 + z + t*g and give b.
149
Express (-d**2 - 4*d**2 - 2*d**2)*((-2 + d + 2)*(0 + d + 0) - 3*d**2 - d**2 - d**2) as r*d**3 + l*d + w + c*d**2 + v*d**4 and give c.
0
Express (-2*q**2 + 0*q**2 + 3*q**2)*(-5*q + 0*q + 2*q) - 80*q**3 + 45*q**3 - 48*q**3 in the form d*q + f + i*q**2 + s*q**3 and give i.
0
Express (5*p**3 + p**3 + 3*p**3)*(3 + 0 - 5)*(-3 + 3 + 1)*(-7*p - 13 + 13) as m*p + x*p**4 + z*p**3 + d + b*p**2 and give x.
126
Express -p - 21 - 21 + 3*p as i + c*p and give i.
-42
Rearrange (-5*v + 0*v + 6*v)*((0 + 2 - 3)*(7 - 6*v**2 - 7) - 56*v**2 + 145*v**2 - 4*v**2) to the form o*v**2 + z + u*v**3 + t*v and give u.
91
Rearrange (0 + 4 - 2)*(q + 3*q - 5*q) + 117*q - 129*q + 536*q to p + c*q and give p.
0
Express 7*h**2 - 4*h**2 - 13*h**4 - 43*h**4 + 2*h**3 - 7*h**2 + 9*h**4 in the form s*h**3 + r*h + a + c*h**2 + z*h**4 and give s.
2
Rearrange (-7*x + 2*x + 3*x)*(-3 + 2 + 2)*(-4 + 7 - 2)*(-5 + 1 + 0) to the form f + a*x and give a.
8
Express 2*r**3 - 116*r + 88*r - 34*r - r**2 as b*r + l + d*r**2 + k*r**3 and give k.
2
Express -4 - 15 + 17
|
{
"pile_set_name": "DM Mathematics"
}
|
d + 5*d)*((2*d**2 - 4*d**2 + 3*d**2)*(0*d + 2*d + 0*d) - 84*d**3 + 40*d**3 + 13*d**3 + 5*d**3 - 11*d**3 + 50*d**3).
15*d**4
Expand 3*a**3 - 3*a**3 + 3*a**4 + (-5*a + 5*a + 5*a)*(-11961*a**2 - 125*a**3 + 11961*a**2).
-622*a**4
Expand ((h + 2*h - 5*h)*(3 - 1 + 0) + 908 + 29*h - 908)*(-29 + 71 + 7 + 56).
2625*h
Expand (-2*w**3 + 2*w**3 - w**3)*(134867 - 330412 + 163156).
32389*w**3
Expand -k + 0*k + 0*k + (-1 + 0 + 2 + 2*k)*(5 - 5 + 13) + 2*k - k + 2*k + k + k - k.
29*k + 13
Expand ((-15 + 15 - 26*h)*(-4 + 2 - 1) + h - 1 + 1)*(-19*h + 149*h + 26*h).
12324*h**2
Expand (-3 + 2 - 2)*(0 + 4 - 6)*(287818*c - 287818*c + 579*c**4).
3474*c**4
Expand (-2 - 3 - 1)*(0*z**2 + 8*z**2 + 2*z + 0 - 2) - z**2 + z**2 - z**2 - z**2 - z**2 + z**2.
-50*z**2 - 12*z + 12
Expand (-128 + 128 - 8*w)*(0 - 5 - 1)*(-16*w**4 - 14*w**4 + 23*w**4).
-336*w**5
Expand ((-2 + 3 + 0 + 17 - 4 + 27 + 0 - 3 + 2 + (1 + 0 + 2)*(0 - 2 + 1))*(3 - 4 - 1)*(-1 - 2 + 1) + 0 + 6 - 4)*(-3 + 2*f**2 + 3).
300*f**2
Expand (1393 + 5*d - 1389 - 20*d)*(-4*d**2 + 4*d**2 - 2*d**2).
30*d**3 - 8*d**2
Expand -4 + 4 + s + 2 + (-60 - 25 + 60)*(-6*s - s + 4*s)*(-1 + 4 - 4).
-74*s + 2
Expand (2*a**2 + 0 + 0)*(a + 0*a + 2*a)*(115598*a + 605*a**2 - 115598*a).
3630*a**5
Expand 2*b**4 + 3*b**4 - 2*b**4 + (3*b**3 - b**3 - b**3)*(-1 - 2*b + 1) - 3*b**4 + 2*b**4 - 3*b**4 + 8 - 3 + 20*b**2 - 5*b**3 - b**4 - 19*b**2.
-4*b**4 - 5*b**3 + b**2 + 5
Expand (351 + 355 - 1408 + 39962*j + 356 + 346)*(-3*j + 0*j + 4*j).
39962*j**2
Expand ((-5 + 4 + 2 + (-2 + 3 - 6)*(0 + 0 - 1))*(10 - 3 + 5) + 3 + 0 - 2)*(-2 + 2 - 2*u).
-146*u
Expand (33 - 33 - 6*w**3)*(-71 + 36 + 15) - w**3 + 0*w**3 + 8*w**3.
127*w**3
Expand (-9*o**3 + 0*o**3 + 0*o**3 + (2*o**2 + 0 + 0)*(-3*o + 0*o + 5*o) - 2*o**3 + 0*o**3 + 4*o**3)*(443*o + 622*o + 349*o).
-4242*o**4
Expand (-3*y**2 + 3*y**2 - 2*y**3)*(3 - 5 + 3) + 0*y**3 - y**3 + 2*y**3 + (0*y**2 + 5*y**2 - 4*y**2)*(0 + 0 - 2*y)*(2 + 5 - 3).
-9*y**3
Expand (0 + 0 - 3*f**2)*(2 - 2 + 3) + 7*f - 1914*f**2 - 2*f + 1926*f**2.
3*f**2 + 5*f
Expand -2*m**2 + m**2 + 2*m**2 + (-778*m - 12581*m - 2719*m + 2228*m)*(2*m - 4 + 4).
-27699*m**2
Expand 0*z + 0*z - z + (45 + 44 - 85)*(3 - 1 - 3)*(-2*z - 3*z + 6*z).
-5*z
Expand (-60 + 668 + 231)*(-4*b - 3*b**2 + 5*b - 3*b + 2).
-2517*b**2 - 1678*b + 1678
Expand (3*f - 2*f + 2*f)*(3 - 7 + 3) + (-824*f + 1787 - 1787)*(-3 + 4 - 3)*(2 - 2 + 2).
3293*f
Expand ((-n + n - 2*n)*(-2*n**2 + 2*n**2 - 2*n**2) - 5*n - 36214*n**3 + 36191*n**3 - n)*(-4 - 3 + 4).
57*n**3 + 18*n
Expand (-239*p**3 + 239*p**3 + p**4)*(51 - 52 + 41) + 2*p**4 - 3*p**3 + 3*p**3 + (-3*p**3 + 0*p**3 + 2*p**3)*(0*p - 3*p + p).
44*p**4
Expand (85 - 49 + 8)*(4*y**2 - y**2 + 6*y**2).
396*y**2
Expand (-2 - 5 + 2)*(4*c + 1 - 1)*(c - 2*c + 2*c) + 271 + 395*c**2 - 271.
375*c**2
Expand (i**3 + 0 + 0)*(-4*i + 4*i - i) - i**4 + 0*i**4 + 0*i**4 - 15*i**4 - 10*i**4 + 2*i**4 + (2*i**3 - 2*i**4 - 2*i**3)*(14 - 8 - 11).
-15*i**4
Expand -15913*n + 8409*n + 4021*n - 16035*n - 14189*n + 2169*n - 6*n + 4*n + 3*n + (1 - 1 - 2)*(0*n - n + 0*n).
-31535*n
Expand (-7 + 6 - 20)*(-37 - 366*q + 738*q - 367*q) + 0*q + q + 0*q.
-104*q + 777
Expand (3886 - 512*x - 3886 + x + 0*x + 0*x + (0 + 2 - 4)*(2*x - 3 + 3))*(-2*x**2 - 5*x + 5*x).
1030*x**3
Expand (3*m + 0*m - 4*m)*(-54 - 418 - 124 - m).
m**2 + 596*m
Expand (250 + 76 - 61)*(-2*d + d - 2*d**2 + 1 + 1).
-530*d**2 - 265*d + 530
Expand (7*m**4 - 9*m**4 - 34*m**4)*((-1 + 0 - 1)*(1 + 2 - 4) + 16 + 27 - 59).
504*m**4
Expand (4 - 3 + 2)*(-u**5 + 0*u**5 - 746*u**2 + 1430*u**4 - 1431*u**4).
-3*u**5 - 3*u**4 - 2238*u**2
Expand 1188*s**3 + 38*s**4 - 1188*s**3 + (2 - 2*s - 2)*(-s**2 + s**2 - 2*s**3) - s**4 + s**4 + 2*s**4.
44*s**4
Expand q**5 + 0*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
21 a factor of a(-4)?
True
Let l = 2563 - 671. Is l a multiple of 11?
True
Let i be (4 - 2)*-1 - -2. Suppose -4*l + k = -k - 18, l - 4*k - 1 = i. Suppose -v = w - 4 - 12, -l*v - 25 = 0. Is w a multiple of 6?
False
Suppose -2*d + 129 = -0*d - m, 3*d + 3*m = 189. Does 4 divide d?
True
Let i(a) = a**3 + 2*a**2 - 5*a - 3. Let z be i(-4). Let t = -118 + 66. Let u = z - t. Is 10 a factor of u?
False
Let k(i) = i**2 + 2*i + 7. Let c = -20 - -25. Is k(c) a multiple of 14?
True
Let z(t) = 17 + 9*t + 13*t**2 + 3*t**2 + t**3 - 12. Is 28 a factor of z(-15)?
False
Let o(r) be the first derivative of 3*r**2/2 - 8*r + 1. Let t be o(10). Let q = -14 + t. Is 4 a factor of q?
True
Let t(b) be the third derivative of b**4/2 - 28*b**3/3 - 2*b**2 + 4. Is 15 a factor of t(16)?
False
Suppose -21*c - 76 = -q - 26*c, -2*q - 3*c = -138. Does 13 divide q?
False
Suppose -806 = 8*y + 378. Let t = y - -238. Is t a multiple of 15?
True
Let u(g) = -32*g + 2. Let d be u(-4). Let y = d + -40. Is 15 a factor of y?
True
Suppose 9*f + 14 = 11*f. Suppose i + t - 21 = 0, i - f*t - 33 = -2*t. Is i a multiple of 9?
False
Let s be (-2 - -2) + (-7)/14*6. Is (s + 2)*(-788 + -1)/3 a multiple of 25?
False
Suppose 376 = y + y - z, 4*y - 752 = 5*z. Let r = y + -76. Suppose -76 = -3*c + q, -5*c + q = 3*q - r. Does 8 divide c?
True
Suppose 3*l - h + 13 - 32 = 0, h + 4 = 0. Suppose -l*u + 759 = -4*g, 2*u = -u - g + 469. Is u a multiple of 39?
False
Suppose -3376 - 13688 = -9*u. Is 24 a factor of u?
True
Let m(u) = u - 8. Let t be m(8). Suppose -k + 2*k = t. Is 12 a factor of k/(-1) - (-52 - -4)?
True
Let g(b) = b**2 + 6*b - 7 + 4*b**2 - 4*b**2. Let s be g(-7). Suppose s = -3*t + 3*p + 96, -t = p + p - 35. Is t a multiple of 13?
False
Suppose -8*o + 177 + 903 = 0. Let m = -111 + o. Is 3 a factor of m?
True
Let v(w) = w**2 - 6. Let c be v(7). Does 17 divide -3 + (c - 3) + 4?
False
Let l(t) = 12*t**2 - 3*t + 3. Let h be -10*(1 - (3 - 1)). Suppose 4*q + 2 = h. Is 15 a factor of l(q)?
True
Suppose 2*z + 1 - 5 = 0. Suppose 0*b = -z*b + 20. Let a = b + 14. Is a a multiple of 5?
False
Let w = -73 - -34. Let t(s) = 3*s**2 + 17*s + 18. Let n be t(-1). Is 1*w/(-6)*n a multiple of 5?
False
Let k = 1 - -2. Suppose n - 2*n = 5*v - 83, -3*n - k*v + 309 = 0. Is 27 a factor of n?
True
Let s be -1 + 0 - (-76)/19. Suppose 2*p + 1 = 4*c + c, -p - s*c + 16 = 0. Suppose 20 = 9*d - p*d. Is d a multiple of 10?
True
Suppose -4*u = 3*n - 351 - 14, 2*n = 3*u - 261. Suppose 557 - u = 6*c. Is 13 a factor of c?
True
Suppose 5*j = 19*a - 16*a + 16102, -2*a + 6444 = 2*j. Is j a multiple of 116?
False
Suppose 3*a = 62 - 23. Let t = 29 - a. Is 12 a factor of t?
False
Suppose -52 = 5*v + 153. Let w = 68 + v. Is 17 a factor of w?
False
Let b = -563 + 959. Is 66 a factor of b?
True
Let g = -56 + 61. Suppose -3*r + 33 = -2*i - 42, -g*r = i - 138. Is r a multiple of 9?
True
Let k = -100 + 100. Suppose 2*a - 4*a + 26 = k. Is a a multiple of 13?
True
Suppose -25 = 5*l, 2*l + 1496 = 4*p + 298. Suppose -o - 6*b = -2*b - 60, -p = -4*o + 3*b. Is 18 a factor of o?
True
Let r be 10/4*(-288)/(-60). Let w = 24 - r. Suppose 0*o + w = 2*o. Does 2 divide o?
True
Suppose -40 = -2*l + b - 2*b, 0 = l + 4*b - 20. Suppose 0 = 3*m - 8*m + l, -t - 4*m = -151. Is 45 a factor of t?
True
Let s = 6093 - 3019. Is s a multiple of 71?
False
Suppose 3109 = 3*z + 11*s - 7*s, 2*z - 2070 = -4*s. Is 6 a factor of z?
False
Let o(h) = -h - 3. Let q be o(-5). Let z(m) = -m**3 + m**2 + m + 1. Let k be z(q). Is (30 - k)*3/3 a multiple of 12?
False
Suppose d - 74 = u + 113, 5*u = -5*d + 905. Does 7 divide d?
False
Suppose -3*d + 1287 = k, 2*d + 3*k + 2*k - 845 = 0. Suppose w = u + 137, 3*w - d = -u - 7. Suppose 5*c = -0*q + 5*q - 180, 5*q + 5*c = w. Is 12 a factor of q?
False
Is 41 a factor of 2/21 + (-955400)/(-1050)?
False
Suppose 0*d - 2*d = 12. Let p(t) = 2*t**2 + 9*t - 12. Let l(v) = -3*v**2 - 13*v + 18. Let w(i) = -5*l(i) - 7*p(i). Does 12 divide w(d)?
False
Let u = -27 + 38. Let t = u - -27. Is t a multiple of 15?
False
Let p(s) = 17*s**2 + 10*s + 12. Is p(-4) a multiple of 11?
False
Let m(q) = 2*q - 15. Let d be m(9). Does 13 divide 78/(4 - (0 + d + 0))?
True
Suppose 3*c - 2 = 5*w - 0*c, 5*w - 18 = -2*c. Is 22 a factor of 22/(-4)*(w/1 + -6)?
True
Suppose 2*d = -d - 2*c + 2505, 2*c + 6 = 0. Is 9 a factor of d?
True
Does 9 divide 1/(((-4)/102)/((-96)/72))?
False
Let g = 72 - -948. Does 51 divide g?
True
Let s(m) = -9*m - 1. Let n be 9/12*(0 - -4). Suppose 0 = k - n*k - 2. Is 5
|
{
"pile_set_name": "DM Mathematics"
}
|
74.
1762
Calculate the greatest common divisor of 1327785 and 2419.
41
Calculate the highest common divisor of 1878297 and 1212.
303
What is the highest common divisor of 12746351 and 1041?
347
Calculate the greatest common divisor of 398575 and 1690405.
745
What is the greatest common factor of 10875 and 1967244?
87
Calculate the greatest common factor of 91425000 and 1375.
125
Calculate the greatest common divisor of 10164 and 1702668.
132
Calculate the highest common factor of 29677804 and 208.
52
What is the highest common factor of 63 and 4326693?
21
What is the highest common divisor of 8618 and 373364?
62
Calculate the greatest common divisor of 126 and 6971846.
14
Calculate the greatest common factor of 3721608 and 120.
24
Calculate the highest common factor of 235662 and 261702.
1302
Calculate the greatest common factor of 566955640 and 20.
20
What is the highest common factor of 57383007 and 138402?
7689
What is the highest common divisor of 20677 and 1147?
31
Calculate the greatest common factor of 22677748 and 84.
4
Calculate the highest common divisor of 297714386 and 2.
2
What is the greatest common factor of 3805686 and 6?
6
What is the greatest common divisor of 210 and 1795209?
3
Calculate the highest common factor of 6 and 5681145.
3
Calculate the greatest common factor of 951322 and 1913537.
3631
Calculate the greatest common divisor of 33120 and 777630.
690
Calculate the highest common factor of 74329260 and 5.
5
What is the highest common factor of 11620469 and 51?
17
Calculate the greatest common divisor of 5644 and 841500.
68
Calculate the highest common factor of 8531 and 4197542054.
8531
Calculate the greatest common divisor of 1995 and 257868.
57
Calculate the highest common divisor of 4021360 and 1540.
140
What is the highest common factor of 309069 and 84375?
27
What is the greatest common divisor of 48957529 and 321?
107
Calculate the highest common divisor of 12 and 275593236.
12
Calculate the greatest common divisor of 114529 and 155057.
17
Calculate the highest common divisor of 5145 and 43154545.
1715
What is the greatest common divisor of 179525514 and 94590?
6306
Calculate the greatest common factor of 123 and 131764119.
123
Calculate the greatest common factor of 376 and 1075078.
94
What is the highest common divisor of 59663 and 66?
1
Calculate the highest common divisor of 4801535 and 159.
53
What is the highest common divisor of 136 and 2562831464?
136
Calculate the greatest common divisor of 369316 and 2012336.
2908
What is the highest common factor of 878 and 103515322?
878
Calculate the greatest common divisor of 17881704 and 104.
8
What is the greatest common factor of 76084121 and 3112?
389
Calculate the greatest common divisor of 57275056 and 32.
16
Calculate the highest common divisor of 1568384 and 61184.
128
Calculate the greatest common divisor of 731 and 33963593.
43
Calculate the greatest common factor of 4542 and 17064.
6
Calculate the greatest common divisor of 85945 and 27090.
5
What is the greatest common divisor of 140 and 1558575165?
35
What is the greatest common divisor of 211404 and 1130964?
948
Calculate the highest common factor of 1294 and 2694.
2
Calculate the greatest common factor of 89544 and 85362.
246
What is the greatest common factor of 15683309 and 23?
23
Calculate the greatest common factor of 76467 and 133907.
359
What is the greatest common factor of 344496 and 36948?
12
Calculate the highest common factor of 372 and 192400136.
124
What is the greatest common divisor of 117793 and 6560?
41
What is the greatest common factor of 4446 and 7340099?
247
Calculate the highest common factor of 20862813 and 18192.
1137
Calculate the highest common factor of 95599 and 6299779.
1951
What is the highest common factor of 227562 and 329613?
1173
What is the greatest common divisor of 756 and 1236132?
36
Calculate the greatest common divisor of 18972003 and 87.
87
What is the greatest common factor of 1031433084 and 9?
9
What is the greatest common divisor of 9555 and 20308785?
735
Calculate the highest common divisor of 49601500 and 1352.
676
What is the greatest common factor of 68 and 9405097?
17
What is the highest common factor of 52 and 3843359?
13
Calculate the greatest common divisor of 17743 and 142229501.
1613
What is the greatest common factor of 38961 and 50162528?
481
Calculate the highest common factor of 395 and 22003.
1
What is the highest common divisor of 16696 and 8245737?
2087
Calculate the highest common factor of 83701568 and 65574.
7286
What is the highest common factor of 153550025 and 40?
5
Calculate the greatest common divisor of 58697666 and 258.
86
Calculate the highest common factor of 1506 and 291531982.
502
Calculate the greatest common factor of 418385 and 47685.
55
What is the greatest common factor of 22776 and 972725?
949
What is the highest common divisor of 13160529 and 999?
27
What is the greatest common divisor of 94172700 and 300?
300
Calculate the highest common factor of 11984 and 488.
8
Calculate the highest common divisor of 1317420 and 2587.
13
Calculate the highest common factor of 1081913 and 28448.
889
Calculate the greatest common factor of 70350 and 27545.
35
What is the greatest common factor of 527 and 393793?
31
What is the highest common factor of 148454 and 96234?
746
Calculate the highest common factor of 310164098 and 574.
82
What is the highest common factor of 9322825 and 3610?
1805
What is the highest common divisor of 3305285 and 4880?
305
Calculate the greatest common factor of 10052362 and 16126.
1466
Calculate the highest common divisor of 5216 and 24809578.
326
What is the greatest common factor of 2647119040 and 320?
320
What is the highest common factor of 299831 and 7150157?
1477
What is the greatest common factor of 2892 and 2406867?
723
Calculate the highest common factor of 158984 and 134435.
1169
What is the greatest common factor of 36 and 1831548?
12
Calculate the greatest common factor of 157080640 and 50.
10
What is the greatest common divisor of 103197020 and 15316?
2188
What is the greatest common factor of 8390 and 17597186?
1678
What is the highest common factor of 607284165 and 4695?
4695
What is the greatest common factor of 651676230 and 90?
90
Calculate the greatest common factor of 1640 and 1158290.
10
What is the greatest common divisor of 147455 and 109155?
1915
Calculate the greatest common divisor of 40274119 and 6374.
3187
What is the highest common factor of 158 and 1778606?
158
What is the greatest common factor of 229322242 and 10623?
3541
Calculate the greatest common factor of 8462408 and 2684.
244
Calculate the greatest common factor of 48 and 80117456.
16
Calculate the greatest common factor of 2074345 and 455.
455
Calculate the greatest common divisor of 1116388 and 1708.
28
Calculate the highest common divisor of 5031 and 15431.
13
Calculate the greatest common divisor of 135968 and 13888.
224
What is the highest common divisor of 5244 and 899004?
228
What is the greatest common factor of 5644164 and 12?
12
What is the greatest common factor of 152 and 752896?
8
What is the greatest common divisor of 119462 and 32354?
14
Calculate the greatest common divisor of 5 and 62882475.
5
Calculate the highest common divisor of 24593815 and 425.
85
Calculate the highest common divisor of 823538 and 2806.
46
Calculate the highest common factor of 4901 and 19594952.
377
What is the highest common divisor of 12 and 119375076?
12
What is the highest common factor of 12194280 and 981?
9
What is the greatest common factor of 956 and
|
{
"pile_set_name": "DM Mathematics"
}
|
tween 2:33 AM and 7:22 AM?
289
How many minutes are there between 12:49 AM and 3:42 AM?
173
How many minutes are there between 9:01 AM and 1:35 PM?
274
How many minutes are there between 5:39 AM and 10:28 AM?
289
What is 445 minutes before 7:31 AM?
12:06 AM
How many minutes are there between 9:36 AM and 11:14 AM?
98
What is 675 minutes before 12:44 AM?
1:29 PM
What is 137 minutes after 3:39 AM?
5:56 AM
How many minutes are there between 5:09 AM and 3:39 PM?
630
What is 149 minutes after 10:33 AM?
1:02 PM
How many minutes are there between 6:07 AM and 2:52 PM?
525
What is 154 minutes before 11:46 AM?
9:12 AM
How many minutes are there between 9:07 PM and 12:31 AM?
204
How many minutes are there between 12:18 PM and 9:06 PM?
528
How many minutes are there between 1:33 PM and 8:42 PM?
429
What is 576 minutes after 3:54 PM?
1:30 AM
How many minutes are there between 1:38 PM and 3:44 PM?
126
How many minutes are there between 6:26 PM and 3:56 AM?
570
How many minutes are there between 11:46 PM and 10:38 AM?
652
How many minutes are there between 7:56 PM and 5:40 AM?
584
What is 496 minutes before 9:58 PM?
1:42 PM
What is 158 minutes after 10:27 AM?
1:05 PM
How many minutes are there between 4:30 PM and 11:14 PM?
404
How many minutes are there between 4:32 AM and 8:41 AM?
249
What is 71 minutes before 1:46 AM?
12:35 AM
How many minutes are there between 8:44 PM and 7:39 AM?
655
What is 355 minutes after 11:33 AM?
5:28 PM
What is 491 minutes before 5:23 PM?
9:12 AM
What is 38 minutes before 7:03 AM?
6:25 AM
How many minutes are there between 2:41 PM and 5:37 PM?
176
How many minutes are there between 11:43 PM and 6:39 AM?
416
How many minutes are there between 6:40 AM and 12:01 PM?
321
How many minutes are there between 11:14 AM and 8:52 PM?
578
What is 456 minutes after 3:46 AM?
11:22 AM
What is 539 minutes after 4:23 AM?
1:22 PM
How many minutes are there between 3:56 PM and 4:08 PM?
12
What is 558 minutes before 2:51 PM?
5:33 AM
How many minutes are there between 3:45 AM and 3:57 AM?
12
How many minutes are there between 9:42 AM and 9:04 PM?
682
How many minutes are there between 12:56 PM and 5:59 PM?
303
How many minutes are there between 8:12 AM and 6:17 PM?
605
What is 101 minutes before 1:30 AM?
11:49 PM
How many minutes are there between 12:55 PM and 9:39 PM?
524
What is 270 minutes after 7:03 AM?
11:33 AM
How many minutes are there between 10:58 AM and 2:27 PM?
209
How many minutes are there between 7:58 AM and 10:36 AM?
158
What is 67 minutes after 2:09 PM?
3:16 PM
How many minutes are there between 3:47 PM and 2:56 AM?
669
What is 135 minutes after 4:35 AM?
6:50 AM
What is 388 minutes before 10:02 AM?
3:34 AM
How many minutes are there between 7:54 PM and 6:05 AM?
611
What is 110 minutes before 12:35 PM?
10:45 AM
How many minutes are there between 11:46 AM and 10:03 PM?
617
How many minutes are there between 1:47 PM and 8:55 PM?
428
How many minutes are there between 6:18 AM and 4:49 PM?
631
What is 77 minutes before 12:39 AM?
11:22 PM
How many minutes are there between 8:23 PM and 8:09 AM?
706
What is 175 minutes before 8:14 AM?
5:19 AM
What is 40 minutes after 7:18 AM?
7:58 AM
How many minutes are there between 11:01 AM and 1:18 PM?
137
How many minutes are there between 8:06 AM and 10:22 AM?
136
How many minutes are there between 9:45 AM and 11:42 AM?
117
What is 91 minutes after 5:59 PM?
7:30 PM
What is 296 minutes after 6:37 PM?
11:33 PM
How many minutes are there between 8:40 AM and 2:02 PM?
322
What is 505 minutes after 7:11 AM?
3:36 PM
How many minutes are there between 7:06 AM and 2:49 PM?
463
What is 244 minutes before 3:12 AM?
11:08 PM
How many minutes are there between 3:35 PM and 9:29 PM?
354
How many minutes are there between 10:32 AM and 2:36 PM?
244
How many minutes are there between 10:09 AM and 8:04 PM?
595
How many minutes are there between 6:50 PM and 9:51 PM?
181
How many minutes are there between 12:21 PM and 1:05 PM?
44
What is 309 minutes before 8:11 PM?
3:02 PM
What is 416 minutes before 8:29 AM?
1:33 AM
How many minutes are there between 4:24 AM and 3:43 PM?
679
What is 609 minutes after 3:58 AM?
2:07 PM
How many minutes are there between 10:36 AM and 1:05 PM?
149
What is 681 minutes before 8:57 PM?
9:36 AM
What is 553 minutes after 10:41 AM?
7:54 PM
How many minutes are there between 12:22 AM and 6:49 AM?
387
What is 149 minutes after 1:14 PM?
3:43 PM
How many minutes are there between 12:25 PM and 9:13 PM?
528
What is 496 minutes after 1:56 PM?
10:12 PM
What is 386 minutes after 6:24 PM?
12:50 AM
How many minutes are there between 2:50 AM and 1:57 PM?
667
What is 374 minutes after 4:38 PM?
10:52 PM
How many minutes are there between 9:26 AM and 1:46 PM?
260
How many minutes are there between 12:56 AM and 2:18 AM?
82
What is 260 minutes after 11:20 AM?
3:40 PM
How many minutes are there between 3:05 AM and 4:16 AM?
71
How many minutes are there between 2:10 PM and 12:26 AM?
616
How many minutes are there between 2:38 PM and 8:31 PM?
353
What is 386 minutes after 4:51 PM?
11:17 PM
What is 616 minutes before 5:48 PM?
7:32 AM
How many minutes are there between 7:11 AM and 3:34 PM?
503
How many minutes are there between 5:46 AM and 5:15 PM?
689
How many minutes are there between 2:16 PM and 10:10 PM?
474
What is 491 minutes before 3:59 PM?
7:48 AM
How many minutes are there between 11:04 AM and 8:50 PM?
586
What is 699 minutes before 3:22 PM?
3:43 AM
How many minutes are there between 7:16 PM and 3:21 AM?
485
What is 700 minutes before 2:16 AM?
2:36 PM
How many minutes are there between 5:35 PM and 9:45 PM?
250
How many minutes are there between 11:58 AM and 4:49 PM?
291
How many minutes are there between 9:31 AM and 1:37 PM?
246
How many minutes are there between 8:10 AM and 12:35 PM?
265
How many minutes are there between 11:35 AM and 7:46 PM?
491
What is 559 minutes after 2:35 PM?
11:54 PM
How many minutes are there between 8:46 PM and 8:06 AM?
680
What is 490 minutes before 10:06 PM?
1:56 PM
What is 41 minutes before 10:29 PM?
9:48 PM
What is 310 minutes after 8:16 AM?
1:26 PM
How many minutes are there between 1:19 PM and 8:29 PM?
430
How many minutes are there between 12:06 AM and 8:56 AM?
530
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
-30*p - 85 for p.
17
Solve 180*m = 189*m - 16 - 2 for m.
2
Solve -69*v + 568 = -398 for v.
14
Solve 1300 - 220 = 155*t - 470 for t.
10
Solve 15*j - 1 - 6 = 23 for j.
2
Solve -12 + 20 + 136 = -24*x for x.
-6
Solve 9*j - 432 = 55*j + 8*j for j.
-8
Solve 22*k - 128 = 50*k + 4*k for k.
-4
Solve 0 = 50*r - 7616 + 7366 for r.
5
Solve -49*b - 1202 = 36*b - 182 for b.
-12
Solve -978*v = -498*v - 511*v - 310 for v.
-10
Solve 7056*v = 7064*v - 32 for v.
4
Solve -37*i + 203 = -281 + 188 for i.
8
Solve 12*k - 27*k + 85 = 2*k for k.
5
Solve -30*f + 22*f = 37*f + 270 for f.
-6
Solve -2529*l - 59627 = -21692 for l.
-15
Solve 45016*y = 45006*y + 60 for y.
6
Solve -4*x - 38*x - 80 = 4 for x.
-2
Solve -1169 = 238*b + 9*b + 313 for b.
-6
Solve -2*t + 8*t = 50*t - 264 for t.
6
Solve 32*y + 84*y - 1044 = 0 for y.
9
Solve 2 + 1090 = -127*p - 1067 for p.
-17
Solve -3*q - 15*q = -9 - 45 for q.
3
Solve -120*d + 144 + 252 = -87*d for d.
12
Solve 120*x + 126*x = 240*x - 108 for x.
-18
Solve -84*v = 3407 - 887 for v.
-30
Solve -10*d + 17*d + 168 = -5*d for d.
-14
Solve -33*s - 2107 + 106 = 36*s for s.
-29
Solve 39*t + 5953 - 4861 = 0 for t.
-28
Solve 5*t + 33 = -2 - 40 for t.
-15
Solve -131*g + 1386 = -285*g for g.
-9
Solve -20*g = 11*g - 217 for g.
7
Solve 0 = -7833*q + 8180*q + 7287 for q.
-21
Solve 1187*c - 13512 = -1623 + 29656 for c.
35
Solve 22*r + 24*r - 74*r - 308 = 0 for r.
-11
Solve -19*r - 150 - 212 = -115 for r.
-13
Solve -51*f + f + 650 = 0 for f.
13
Solve 362 = -3*s + 386 for s.
8
Solve -131*o = 71 + 322 for o.
-3
Solve 59*v + 937 = 12*v + 326 for v.
-13
Solve 23 = -5*m - 7*m - 97 for m.
-10
Solve 0 = -224*o - 5*o - 3893 for o.
-17
Solve 135*k - 224*k + 979 = 0 for k.
11
Solve -19*j + 57 = -55 + 17 for j.
5
Solve -278*j - 16*j - 1028 = 3088 for j.
-14
Solve 71*o + 2457 = 1463 for o.
-14
Solve 33*w - 62 + 67 - 269 = 0 for w.
8
Solve 287*x - 248*x = 117 for x.
3
Solve -228*g = -198*g - 840 + 60 for g.
26
Solve 203*p - 12173 = -54*p - 72*p for p.
37
Solve -2 = 7*s - 40 - 11 for s.
7
Solve -285*b + 797 = -349*b + 29 for b.
-12
Solve -51*q - 247 - 212 = 0 for q.
-9
Solve -11*x + 5*x + 30*x - 456 = 0 for x.
19
Solve 80*p = 174*p for p.
0
Solve 46*v + 31 = 261 for v.
5
Solve 0 = -1055*m + 958*m + 679 for m.
7
Solve 147*z - 103*z = -44 for z.
-1
Solve -6196*z - 28 = -6192*z for z.
-7
Solve -53 - 12 - 15 = 10*h for h.
-8
Solve 1511 = 90*n + 171 + 80 for n.
14
Solve 44*c - 161 = 59 for c.
5
Solve 71*t - 35 = -67*t + 133*t for t.
7
Solve -1456*x + 6 = -1454*x for x.
3
Solve -257 + 142 = -23*r for r.
5
Solve -4*y - 121*y = -61*y + 384 for y.
-6
Solve 61*s - 18*s + 266 = -938 for s.
-28
Solve -13*d + 26 = 62 + 81 for d.
-9
Solve 15508 = 407*u - 1179 for u.
41
Solve 46*k + 27*k + 378 = 19*k for k.
-7
Solve 344*a = 2364 + 4172 for a.
19
Solve 0 = 14246*w - 14228*w + 364 + 32 for w.
-22
Solve -97*t + 1573 = 46*t for t.
11
Solve -785 + 233 = 46*j + 414 for j.
-21
Solve 1500 - 21 = -1479*s for s.
-1
Solve 115 = -97*r + 1570 for r.
15
Solve 0 = 5082*t - 5078*t + 144 for t.
-36
Solve 97*b + 120*b - 312 = 193*b for b.
13
Solve 30586 = -6*h + 30556 for h.
-5
Solve -11379*r = -11414*r + 35 for r.
1
Solve -504 = -101*p - 80*p + 153*p for p.
18
Solve 3*g + 71 - 65 = 0 for g.
-2
Solve -3865*y = -3875*y - 50 for y.
-5
Solve 15*b = 24*b + 126 for b.
-14
Solve 0 = -8*b + 39 + 27 - 74 for b.
-1
Solve 2612*a - 2623*a = -143 for a.
13
Solve -1038*s = 5867 + 4513 for s.
-10
Solve -708 + 420 = -10*o - 8*o for o.
16
Solve 11925*z - 726 = 11991*z for z.
-11
Solve -3208*y + 3172*y - 504 = 0 for y.
-14
Solve 0 = -129*u - 190 - 68 for u.
-2
Solve -26*q + 42*q - 50 = 158 for q.
13
Solve -67 - 45 = 15*j + 8 for j.
-8
Solve 0 = -30*d - 2106 + 2166 for d.
2
Solve -502*t - 7151 - 5399 = 0 for t.
-25
Solve -31*q - 204 = 38*q - 81*q for q.
17
Solve 1244*g - 2944 = 1372*g for g.
-23
Solve 317 + 263 = -170*p + 410 for p.
-1
Solve -85 = -r - 171 + 81 for r.
-5
Solve 0 = -212*n + 1009*n - 7173 for n.
9
Solve -11*h + 557 = 392 for h.
15
Solve 4802 = -259*x - 363*x - 64*x for x.
-7
Solve 47*h - 110 + 768 = 0 for h.
-14
Solve 407*x - 1785 = 526*x for x.
-15
Solve -299*z = -57*z - 968 for z.
4
Solve 0 = -d + 87 - 95 for d.
-8
Solve 0 = -133*s + 164*s + 279 for s.
-9
Solve 0 = 15*h + 378
|
{
"pile_set_name": "DM Mathematics"
}
|
fore 6:21 PM?
2:54 PM
How many minutes are there between 12:42 AM and 10:14 AM?
572
How many minutes are there between 11:19 AM and 2:20 PM?
181
How many minutes are there between 9:43 PM and 7:59 AM?
616
How many minutes are there between 6:43 AM and 7:10 AM?
27
How many minutes are there between 3:39 PM and 7:39 PM?
240
How many minutes are there between 4:37 PM and 5:19 PM?
42
How many minutes are there between 1:50 PM and 1:49 AM?
719
What is 173 minutes after 11:32 AM?
2:25 PM
How many minutes are there between 4:43 PM and 4:22 AM?
699
What is 300 minutes after 9:44 AM?
2:44 PM
What is 420 minutes after 12:39 PM?
7:39 PM
How many minutes are there between 9:39 PM and 7:26 AM?
587
How many minutes are there between 6:11 PM and 5:18 AM?
667
What is 14 minutes before 4:48 AM?
4:34 AM
How many minutes are there between 1:51 AM and 7:35 AM?
344
How many minutes are there between 7:44 PM and 2:54 AM?
430
What is 408 minutes before 6:29 PM?
11:41 AM
What is 328 minutes before 12:44 PM?
7:16 AM
How many minutes are there between 6:58 AM and 8:26 AM?
88
How many minutes are there between 9:44 AM and 9:21 PM?
697
What is 173 minutes before 6:47 AM?
3:54 AM
What is 211 minutes after 4:38 AM?
8:09 AM
What is 366 minutes before 12:21 PM?
6:15 AM
How many minutes are there between 2:10 PM and 8:56 PM?
406
What is 331 minutes after 11:28 PM?
4:59 AM
What is 331 minutes after 5:00 AM?
10:31 AM
How many minutes are there between 11:10 PM and 12:27 AM?
77
What is 559 minutes after 1:56 PM?
11:15 PM
What is 274 minutes after 1:39 AM?
6:13 AM
What is 514 minutes after 5:23 PM?
1:57 AM
How many minutes are there between 9:49 AM and 8:51 PM?
662
How many minutes are there between 5:51 PM and 1:27 AM?
456
What is 585 minutes after 11:47 AM?
9:32 PM
How many minutes are there between 10:10 AM and 8:56 PM?
646
How many minutes are there between 3:32 AM and 6:12 AM?
160
What is 235 minutes after 2:13 PM?
6:08 PM
How many minutes are there between 4:24 AM and 2:15 PM?
591
How many minutes are there between 11:41 AM and 9:52 PM?
611
What is 145 minutes after 7:22 AM?
9:47 AM
What is 126 minutes after 9:35 PM?
11:41 PM
How many minutes are there between 8:50 AM and 3:31 PM?
401
What is 405 minutes before 2:22 PM?
7:37 AM
How many minutes are there between 8:43 PM and 7:53 AM?
670
What is 372 minutes before 10:51 PM?
4:39 PM
How many minutes are there between 12:24 AM and 4:22 AM?
238
What is 400 minutes after 4:23 PM?
11:03 PM
How many minutes are there between 6:36 AM and 3:48 PM?
552
How many minutes are there between 10:09 AM and 3:01 PM?
292
How many minutes are there between 9:52 PM and 12:31 AM?
159
How many minutes are there between 10:34 AM and 5:44 PM?
430
How many minutes are there between 4:45 PM and 6:45 PM?
120
What is 69 minutes before 4:59 AM?
3:50 AM
How many minutes are there between 7:48 AM and 5:43 PM?
595
What is 166 minutes after 11:35 PM?
2:21 AM
What is 33 minutes after 1:49 AM?
2:22 AM
How many minutes are there between 6:42 AM and 5:51 PM?
669
How many minutes are there between 3:03 PM and 4:34 PM?
91
What is 564 minutes after 2:47 PM?
12:11 AM
What is 458 minutes after 8:33 AM?
4:11 PM
How many minutes are there between 5:23 PM and 10:44 PM?
321
How many minutes are there between 1:22 AM and 2:38 AM?
76
What is 429 minutes after 2:40 AM?
9:49 AM
How many minutes are there between 6:22 AM and 11:42 AM?
320
How many minutes are there between 7:09 AM and 2:10 PM?
421
How many minutes are there between 10:49 PM and 12:36 AM?
107
What is 304 minutes after 5:29 AM?
10:33 AM
How many minutes are there between 7:21 AM and 2:45 PM?
444
How many minutes are there between 8:34 AM and 7:04 PM?
630
How many minutes are there between 6:08 PM and 5:28 AM?
680
What is 292 minutes after 6:44 AM?
11:36 AM
What is 639 minutes before 7:18 AM?
8:39 PM
What is 401 minutes after 9:38 PM?
4:19 AM
What is 2 minutes before 1:53 PM?
1:51 PM
What is 421 minutes before 10:18 AM?
3:17 AM
What is 69 minutes after 3:39 AM?
4:48 AM
What is 416 minutes before 10:50 PM?
3:54 PM
What is 181 minutes before 8:46 AM?
5:45 AM
What is 97 minutes after 11:42 PM?
1:19 AM
What is 644 minutes after 5:29 PM?
4:13 AM
How many minutes are there between 10:49 AM and 9:49 PM?
660
What is 320 minutes after 1:22 AM?
6:42 AM
What is 309 minutes after 4:43 PM?
9:52 PM
What is 207 minutes after 4:22 AM?
7:49 AM
What is 559 minutes after 6:13 AM?
3:32 PM
What is 677 minutes before 3:39 PM?
4:22 AM
What is 345 minutes before 8:52 AM?
3:07 AM
How many minutes are there between 4:09 PM and 4:51 PM?
42
How many minutes are there between 11:32 AM and 4:53 PM?
321
What is 41 minutes before 5:42 AM?
5:01 AM
How many minutes are there between 4:31 AM and 3:59 PM?
688
How many minutes are there between 9:37 AM and 3:22 PM?
345
What is 323 minutes after 11:37 PM?
5:00 AM
What is 103 minutes after 8:04 AM?
9:47 AM
What is 12 minutes after 3:32 AM?
3:44 AM
What is 664 minutes before 1:32 AM?
2:28 PM
How many minutes are there between 8:01 PM and 12:25 AM?
264
What is 496 minutes after 5:42 PM?
1:58 AM
How many minutes are there between 10:04 AM and 8:13 PM?
609
How many minutes are there between 9:46 AM and 12:36 PM?
170
What is 538 minutes before 9:29 AM?
12:31 AM
What is 159 minutes before 2:38 PM?
11:59 AM
What is 231 minutes after 11:34 PM?
3:25 AM
How many minutes are there between 1:25 AM and 9:18 AM?
473
How many minutes are there between 8:16 AM and 1:12 PM?
296
How many minutes are there between 10:11 AM and 2:31 PM?
260
What is 42 minutes after 3:25 AM?
4:07 AM
What is 501 minutes before 2:54 AM?
6:33 PM
How many minutes are there between 7:01 AM and 5:08 PM?
607
How many minutes are there between 6:00 AM and 2:23 PM?
503
How many minutes are there between 5:48 PM and 6:29 PM?
41
What is 457 minutes before 2:03 PM?
6:26 AM
What is 40 minutes before 1:29 AM?
12:49 AM
What is 587 minutes after 3:26 AM?
1:13 PM
What is 128 minutes after 12:46 PM?
2:54 PM
How many minutes are there between 3:02 PM and 8:33 PM?
331
What is 557 minutes after 6:41 AM?
3:58 PM
How many minutes are there between
|
{
"pile_set_name": "DM Mathematics"
}
|
*3.904.
0.15616
What is the product of 0.0160307 and 0.2?
0.00320614
What is -4 times -0.021463?
0.085852
Multiply -0.039 and 16781.
-654.459
-1 * 3799.55
-3799.55
-0.238*-0.03722
0.00885836
What is the product of -91 and 0.01429?
-1.30039
Multiply 0.4 and -7306.32.
-2922.528
What is the product of -6338.65 and 0.5?
-3169.325
Multiply 0.01 and -0.79105.
-0.0079105
-15*0.11234
-1.6851
-0.036923 * 7
-0.258461
What is the product of -1300 and -418?
543400
Product of 0.5 and -39.03.
-19.515
What is 0.07 times -2941?
-205.87
-0.066*37333
-2463.978
1.6*-305
-488
314016 * 0.4
125606.4
-2199 * 0.09
-197.91
3292361 * -0.2
-658472.2
What is 630 times 115?
72450
0.5*2.7628
1.3814
What is the product of -615 and 0?
0
Product of -189122 and -0.1.
18912.2
Calculate 0.03346*-126.
-4.21596
Calculate 2.5*-2721.
-6802.5
Calculate 9155*59.
540145
Multiply -500111 and -1.
500111
Multiply -5 and -79.6.
398
What is -3286 times -66?
216876
-0.027*-7.4
0.1998
0.08 * -27276
-2182.08
What is the product of 0.0226 and 3?
0.0678
-0.1 times -25.4621
2.54621
What is -2.8 times -35.719?
100.0132
What is -0.16171 times 0.52?
-0.0840892
-78593 * -4.3
337949.9
Multiply 0.11 and -8638.
-950.18
-0.2*23605
-4721
Work out -0.057 * -0.204.
0.011628
-290 * 158
-45820
Multiply -0.012892 and 3.
-0.038676
Work out -3.0956 * -1.
3.0956
What is the product of 0 and -90966?
0
Work out 0.1481 * -2.4.
-0.35544
Product of 4 and 3.947.
15.788
-45 times -11.21
504.45
Product of 0.25 and 0.743.
0.18575
What is -2.816 times -1.214?
3.418624
0.16*-448
-71.68
Work out 118650 * 0.
0
0.132*-108.9
-14.3748
What is the product of 447268 and -0.5?
-223634
6.18 * -2705
-16716.9
9*1.1954
10.7586
What is the product of -5 and -37.1599?
185.7995
Calculate -5*-7.8818.
39.409
12 times 34.772
417.264
45.2 times -0.113
-5.1076
Work out -19 * 14672.
-278768
What is 314 times -0.047?
-14.758
Product of -177823 and 24.
-4267752
-0.3*0.06399
-0.019197
6510*50
325500
-13*-14877
193401
0.0555 times 0.93
0.051615
Calculate -333260*-0.7.
233282
0.12461*-0.05
-0.0062305
Product of -1 and -3185.
3185
Work out 5 * -15803.
-79015
What is -0.5 times 5706?
-2853
1473740 * -0.2
-294748
Product of -196978.8 and -5.
984894
-0.33 times -6280
2072.4
Product of 184860 and -1.
-184860
-4*-43.477
173.908
0.03 times -47152
-1414.56
-4.6 * 0.7891
-3.62986
-5 times 0.022931
-0.114655
2 * 283.1
566.2
Work out -0.1085 * -0.08.
0.00868
Calculate 48*19714.
946272
Product of 104536 and -0.1.
-10453.6
Product of -125369 and -4.
501476
Product of 0.7356 and -2.56.
-1.883136
-157.221 * 0
0
0.2 * 349
69.8
What is the product of 0.046944 and 1?
0.046944
Calculate 55172*-14.
-772408
Product of 31.7246 and 9.
285.5214
Multiply -138.1 and -0.1.
13.81
Calculate 0.5*-97326.
-48663
Work out -39 * -0.058342.
2.275338
Calculate 0.5*23495.
11747.5
-8*-12.129
97.032
-15.2 times 29
-440.8
Calculate -43.8*671.
-29389.8
10.4 * 0.1799
1.87096
-21 times -0.019475
0.408975
Multiply -24 and -1842.
44208
What is -59.3044 times 1?
-59.3044
-2.8*12171
-34078.8
Calculate 1337715*0.1.
133771.5
Multiply -0.031 and 61.5.
-1.9065
Calculate 271*51.
13821
What is the product of 0.2 and 584785?
116957
-17 * 17.1413
-291.4021
-0.04071 * -10.2
0.415242
Multiply -0.3 and 15820.
-4746
Product of 0 and -1384.
0
1413*-44
-62172
Product of -10 and 0.0205028.
-0.205028
Calculate 0.2995*11.8.
3.5341
Work out 150741 * 0.5.
75370.5
Product of 86.513 and 4.
346.052
-5093 times 0.8
-4074.4
Calculate 38*-7.66.
-291.08
-24*-3
72
4*-183.12
-732.48
Multiply -1.396 and -16.83.
23.49468
Multiply -3933 and 9.35.
-36773.55
-0.5 times -33862
16931
Calculate 3.671*-106.
-389.126
Calculate -69956*-5.
349780
Product of 0.1 and -6695.
-669.5
-62.607 * 0
0
What is 40906 times -0.1?
-4090.6
Multiply -8.4081 and -0.3.
2.52243
-147413 times -0.03
4422.39
Multiply 2161.2 and -0.3.
-648.36
What is the product of -300 and 185?
-55500
1.7 times -0.0365
-0.06205
Work out 4430.1 * -0.51.
-2259.351
4466.4 * -0.053
-236.7192
Multiply 1.29157 and 5.
6.45785
-58562*0.3
-17568.6
0 times 1.55
0
Product of -9 and 0.361942.
-3.257478
What is 0.92624 times -5?
-4.6312
What is the product of 3 and 151.45?
454.35
What
|
{
"pile_set_name": "DM Mathematics"
}
|
is the next term in -37, -142, -319, -568?
-889
What is next in 132, 263, 396, 531?
668
What is next in -29, -109, -245, -437, -685, -989?
-1349
What comes next: 802, 1602, 2402, 3202?
4002
What is the next term in -29, -86, -177, -302, -461, -654?
-881
What is next in -103, -392, -881, -1576, -2483?
-3608
What is next in 2, 1, -2, -7, -14, -23, -34?
-47
What comes next: -17, -38, -71, -122, -197, -302, -443?
-626
What comes next: 1991, 1989, 1987?
1985
What is next in -3, -4, -5?
-6
What is next in -180, -197, -214, -231, -248?
-265
What is next in 3102, 6208, 9314, 12420, 15526, 18632?
21738
What is the next term in 1377, 2753, 4131, 5511, 6893, 8277?
9663
What comes next: -24, -113, -290, -579, -1004, -1589?
-2358
What is next in 3, -27, -71, -135, -225, -347, -507?
-711
What is the next term in 91, 95, 101, 109, 119, 131?
145
What is the next term in 2438, 2434, 2426, 2414, 2398, 2378, 2354?
2326
What is the next term in 17, 72, 165, 296, 465, 672?
917
What comes next: -109, -515, -1219, -2221, -3521, -5119?
-7015
What is next in -19, -50, -93, -142, -191, -234, -265, -278?
-267
What is the next term in 12, 43, 86, 147, 232?
347
What is the next term in 28, 73, 116, 151, 172?
173
What is next in 392, 780, 1168, 1556?
1944
What is next in -590, -1102, -1628, -2174, -2746, -3350?
-3992
What comes next: 1270, 1258, 1244, 1228, 1210, 1190?
1168
What is next in 88, 67, 46, 25, 4, -17?
-38
What comes next: 38, 51, 86, 155, 270, 443?
686
What is next in -16, -37, -60, -85?
-112
What comes next: -779, -766, -745, -716, -679?
-634
What is next in -18, -51, -74, -81, -66?
-23
What is next in -122, -235, -344, -449, -550, -647, -740?
-829
What comes next: -10, -9, -8?
-7
What is the next term in 13, 20, 29, 40, 53?
68
What is the next term in 23, 79, 173, 305, 475, 683, 929?
1213
What is the next term in 48, 52, 58, 66, 76?
88
What is the next term in 188, 203, 242, 317, 440, 623, 878?
1217
What is next in 2785, 5568, 8351, 11134, 13917?
16700
What is the next term in 64, 78, 104, 142, 192?
254
What is next in -3956, -3952, -3946, -3938, -3928, -3916, -3902?
-3886
What comes next: 28, 40, 40, 22, -20, -92, -200?
-350
What comes next: 43, 65, 101, 157, 239, 353?
505
What is the next term in -1927, -3853, -5777, -7699?
-9619
What is the next term in -194, -391, -586, -779, -970?
-1159
What comes next: 42226, 42227, 42230, 42235, 42242, 42251?
42262
What is next in -35, -67, -99, -131?
-163
What is the next term in -16, -66, -150, -268?
-420
What is the next term in 11, 0, -19, -46, -81, -124?
-175
What comes next: -59, -118, -177, -236, -295, -354?
-413
What comes next: 7429, 7439, 7463, 7507, 7577, 7679, 7819?
8003
What is next in 1178, 1172, 1152, 1112, 1046, 948, 812, 632?
402
What is next in 2116, 2118, 2120, 2122, 2124, 2126?
2128
What comes next: 167, 258, 347, 434, 519?
602
What is the next term in -2, -10, -22, -38, -58, -82, -110?
-142
What is next in 780, 796, 812, 828, 844, 860?
876
What is next in -1095, -1096, -1097, -1098, -1099?
-1100
What is the next term in -90, -69, -48, -27, -6?
15
What comes next: 36, 157, 480, 1107, 2140, 3681, 5832, 8695?
12372
What comes next: -47, -97, -147?
-197
What comes next: -21, -42, -75, -120, -177, -246?
-327
What comes next: -5060, -5057, -5054, -5051?
-5048
What is next in 14, 51, 108, 185, 282, 399?
536
What is the next term in -40, -79, -116, -151?
-184
What is next in -7, -12, -17?
-22
What is next in -997, -1000, -1005, -1012, -1021, -1032, -1045?
-1060
What comes next: -112, -459, -1046, -1879, -2964, -4307, -5914, -7791?
-9944
What is next in -17, -48, -75, -98, -117, -132?
-143
What is next in -2, -21, -40, -59, -78?
-97
What is next in 2, 18, 44, 86, 150?
242
What is next in -896, -1795, -2694, -3593?
-4492
What is next in 409, 410, 411, 412, 413?
414
What comes next: -343, -681, -1019, -1357?
-1695
What comes next: -6297, -12595, -18895, -25197, -31501, -37807?
-44115
What comes next: 1195, 1196, 1197?
1198
What is the next term in -37, -85, -161, -259, -373, -497, -625?
-751
What is the next term in -64, -64, -62, -58, -52, -44?
-34
What is next in -12, -10, -6, 0, 8, 18?
30
What is next in -43, -81, -107, -115, -99, -53, 29?
153
What is next in 9, 40, 95, 174, 277, 404?
555
What is next in -20, 14, 46, 76, 104, 130?
154
What comes next: 16, 53, 90, 127, 164?
201
What comes next: -19, -137, -343, -643, -1043?
-1549
What is next in -59, -128, -199, -272, -347?
-424
What is the next term in 367, 366, 363, 358, 351, 342, 331?
318
What is the next term in -82, -84, -86, -88, -90, -92?
-94
What is the next term in -52, -191, -428, -769, -12
|
{
"pile_set_name": "DM Mathematics"
}
|
ing order.
-382, -10, -4, -2, 1
Put -0.7, -0.2, -4, -26, -2 in descending order.
-0.2, -0.7, -2, -4, -26
Put 3, 0, -339, 85 in increasing order.
-339, 0, 3, 85
Put -4, -1/5, 0, 2/5, -0.3, -0.054 in increasing order.
-4, -0.3, -1/5, -0.054, 0, 2/5
Put -1, 1, 2, 46378 in decreasing order.
46378, 2, 1, -1
Put -5, -12, 3, -24, 0 in ascending order.
-24, -12, -5, 0, 3
Put -0.1, -2/9, 6/7, 3, -321, 0.3 in decreasing order.
3, 6/7, 0.3, -0.1, -2/9, -321
Sort 1, -2, -5, -4069, 2 in decreasing order.
2, 1, -2, -5, -4069
Put -287, 1, 15, 5 in descending order.
15, 5, 1, -287
Put 1444, -0.7, 3 in ascending order.
-0.7, 3, 1444
Sort 1, -0.01, -6.8, 2 in increasing order.
-6.8, -0.01, 1, 2
Sort 16, -26, 9 in decreasing order.
16, 9, -26
Put -0.5632, 2/11, -2 in increasing order.
-2, -0.5632, 2/11
Sort 2, -1, -3, 0.4, 1.107.
-3, -1, 0.4, 1.107, 2
Put 1, -3, 35, -103, -2 in descending order.
35, 1, -2, -3, -103
Sort 5/2, 0, 1/2, -0.5, -0.1, 1 in decreasing order.
5/2, 1, 1/2, 0, -0.1, -0.5
Sort 0, -3, -294, 3, -1.
-294, -3, -1, 0, 3
Sort -454, -7, -2 in increasing order.
-454, -7, -2
Put -1, 4/5, 3, 3/14, 8 in increasing order.
-1, 3/14, 4/5, 3, 8
Put 61, -174, -3 in descending order.
61, -3, -174
Put 84, -0.33, 2/19, 2/7 in decreasing order.
84, 2/7, 2/19, -0.33
Sort -16, -126, -4 in increasing order.
-126, -16, -4
Put -5, 5, 40, -2, 16, -1 in increasing order.
-5, -2, -1, 5, 16, 40
Put 1/4, 1.9, 49, -6 in ascending order.
-6, 1/4, 1.9, 49
Sort 810, -2, 0, -3, -4 in descending order.
810, 0, -2, -3, -4
Put -4, 24, -5, 12 in decreasing order.
24, 12, -4, -5
Sort -2/3, -0.039, 0.5, 12, -5 in ascending order.
-5, -2/3, -0.039, 0.5, 12
Put -207, -4, -5, 5, 9 in ascending order.
-207, -5, -4, 5, 9
Put 7/2, -1/3, -0.45, -5, -4 in descending order.
7/2, -1/3, -0.45, -4, -5
Put 49.4, -2/13, 0.81, -3 in decreasing order.
49.4, 0.81, -2/13, -3
Put 3, 1.2, -2, 3/17, -3/5, -205 in descending order.
3, 1.2, 3/17, -3/5, -2, -205
Put -0.07, -2/3381, 4, 2, 5 in increasing order.
-0.07, -2/3381, 2, 4, 5
Put -10, -722, 2 in decreasing order.
2, -10, -722
Put -122, 39, -13, -3 in increasing order.
-122, -13, -3, 39
Put 2, -69, -55 in descending order.
2, -55, -69
Put -3, -19, -338, -2, -3/4, 2/15 in descending order.
2/15, -3/4, -2, -3, -19, -338
Put 5, 26, -4, 9, 69 in decreasing order.
69, 26, 9, 5, -4
Sort -0.085, 4, -2, -3, 5.
-3, -2, -0.085, 4, 5
Sort 14, 5, 2/3, -0.41, 2 in increasing order.
-0.41, 2/3, 2, 5, 14
Sort -2, -6, -5, 3, -1.
-6, -5, -2, -1, 3
Sort 1, -36, 3, 9, -6 in increasing order.
-36, -6, 1, 3, 9
Sort -4, -26, 3, -208.
-208, -26, -4, 3
Put 28, 5, 137 in ascending order.
5, 28, 137
Sort -1, -4, -2/657, 4, 1 in ascending order.
-4, -1, -2/657, 1, 4
Put 0.1, 4.879, -5 in decreasing order.
4.879, 0.1, -5
Sort 0.13, -1450, 2, 6 in increasing order.
-1450, 0.13, 2, 6
Put 2, -5, -145, 23 in descending order.
23, 2, -5, -145
Sort 37, 4, -4, 1, 5 in descending order.
37, 5, 4, 1, -4
Sort 0, 4, 2, -5, 50 in ascending order.
-5, 0, 2, 4, 50
Put -2, -17, 0, -1, 4, -117 in descending order.
4, 0, -1, -2, -17, -117
Sort -916, -3/4, -1 in descending order.
-3/4, -1, -916
Sort 0, -5, 4, -3/2, -2/151.
-5, -3/2, -2/151, 0, 4
Sort 10, 2, 5, -5, 138 in descending order.
138, 10, 5, 2, -5
Sort 2199, 4, -0.47 in decreasing order.
2199, 4, -0.47
Sort 16236, -0.5, 16.
-0.5, 16, 16236
Sort -1/2, 89, -2, -2/3, 8.6 in ascending order.
-2, -2/3, -1/2, 8.6, 89
Put 1/4, 6, -3, -1/3, 14, -1 in ascending order.
-3, -1, -1/3, 1/4, 6, 14
Sort 3, 10, -21214 in decreasing order.
10, 3, -21214
Sort -5, -4, -0.4, 265, 4.
-5, -4, -0.4, 4, 265
Put -97, -1, 1, 1845, 0 in decreasing order.
1845, 1, 0, -1, -97
Sort 0, 21796, 57 in increasing order.
0, 57, 21796
Put 2, -1/5, 4, -12.3, 0.4 in decreasing order.
4, 2, 0.4, -1/5, -12.3
Sort 3/232, 1/9, 12/7.
3/232, 1/9, 12/7
Put 16, 171, 0, 631 in ascending order.
0, 16, 171, 631
Put -57, -0.04, 1/3, 9, 1/4, -1/7 in descending order.
9, 1/3, 1/4, -0.04, -1/7, -57
Sort 2002, 3, -1/32.
|
{
"pile_set_name": "DM Mathematics"
}
|
) = d**2 + 6*d - 9. What is x(w)?
-2
Let n(u) = -20*u - 172. Let d be n(-9). Let v(l) = 2*l - 2. What is v(d)?
14
Let k(z) be the third derivative of 1/6*z**3 + 0*z + 0 - 11*z**2 + 0*z**4 - 1/12*z**5. What is k(1)?
-4
Let x(v) = -3*v - 2. Let n(a) be the second derivative of -5*a**3/3 - 2*a**2 + 12*a. Let l(c) = 2*n(c) - 7*x(c). Let q = 2 + -9. Determine l(q).
-1
Suppose -18 = -2*y - 0*y - 3*x, 2*x + 4 = 0. Let m(c) = -5 - 2*c + 13 - y. Determine m(-7).
10
Let r(g) = g**2 + 9*g + 10. Let k(q) = 7*q - q**2 - 8*q - 2*q + q. Let z be k(-4). What is r(z)?
2
Suppose -24 = 22*l - 20*l. Let y be 46/(-8) + l/48. Let v(x) = 114*x - 108*x - 5 + 4*x**2 - 3*x**2. Calculate v(y).
-5
Let v(a) = -a**3 + 2*a - 4 - 7*a**2 + 8*a**2 + 1. Suppose 10 = 2*l + 6. Calculate v(l).
-3
Let k(w) be the second derivative of w**4/12 - 3*w**3/2 + 13*w**2/2 - 255*w. Give k(8).
5
Let x be ((-30)/(6 - 0))/(-1). Let k(b) = 10 - b**2 + 5*b - 3 + 0*b. Give k(x).
7
Let j(i) = i**2 - 11*i + 6. Let b(q) = -6*q - 12*q + 0*q**2 + 24 - 2*q**2 + 3*q**2. Let k be b(17). Give j(k).
-22
Let n(w) = 5*w + 7. Let g(y) = 2*y + 1. Let d(x) = -2*g(x) + n(x). What is d(-9)?
-4
Let u = 10 + -13. Let b(z) = -z**3 - z**2 + 1. Let l(f) = -f**2 - f - 4. Let g(t) = b(t) + l(t). Calculate g(u).
9
Let o(v) = -v + 3. Let p = -110 + 71. Let i be (p/9 - -3)*(-18)/8. Give o(i).
0
Let v(r) be the second derivative of -r**5/20 - 3*r**4/4 + 7*r**3/2 - 6*r**2 - r - 375. Calculate v(-11).
-1
Let l(k) be the second derivative of -k**6/360 + k**5/40 + k**4/24 - 19*k**3/6 + 20*k. Let d(c) be the second derivative of l(c). Determine d(4).
-3
Let k(x) = x - 8. Suppose 4 + 4 = -2*g - 3*r, -g - 2 = 2*r. Let l(u) = -u - 17. Let f be l(g). What is k(f)?
-15
Let l(a) = 132 - 9*a**2 - 67 - a**3 - 68 + 0*a**2. Calculate l(-9).
-3
Let d(p) = -p - 3. Let o be (-1)/((2/6)/1). Let v be d(o). Let a(j) = v - 1 + 4 + 8*j**2 - 4*j - 9*j**2. What is a(-4)?
3
Let c(v) = 16*v**2 - 25*v - 21. Let s(l) = 3*l**2 - 5*l - 4. Let b(f) = 2*c(f) - 11*s(f). Suppose m - 20 - 4 = -4*d, -2*d + 18 = -m. Calculate b(d).
-12
Let h = -69 - -77. Suppose -n + h = -4*c, 3*c + 3 = -0. Let w(o) = -o**3 + 3*o**2 + 4*o - 2. Give w(n).
-2
Let i(n) be the first derivative of -n**4/4 + 4*n**3/3 - n**2/2 + n + 1. Let v be i(4). Let h(r) be the third derivative of -r**4/8 - r**2. Give h(v).
9
Let f = 24 + -19. Let t(s) be the second derivative of s**3/6 - 3*s**2 + 7*s. Determine t(f).
-1
Let n(c) = 1 + 1863*c - 13 - 1854*c + c**2. Calculate n(-10).
-2
Let f(n) be the first derivative of n**2/2 - n + 110. Let o = 1 + 0. Let t(q) = q**3 + 4*q**2 - 8*q + 1. Let l(v) = o*t(v) + 2*f(v). Give l(-5).
4
Let k(n) = -n**2 - 4 + 3 + 6*n**2 - 3*n**2. Give k(-1).
1
Suppose 2*c = 4*y - y - 8, -5*y + 26 = 3*c. Suppose -o + c*q = -1 - 1, 0 = -3*o - 3*q + 6. Let m(z) = -7*z**o + 3*z**3 - 4*z**3 + 7*z + 2*z**3. Calculate m(6).
6
Let h(l) = l**2 - 7*l + 5. Let r be 130/4*(6 + 96/(-20)). Suppose r + 6 = 9*o. Give h(o).
-5
Let m = -119 + 43. Let c = 74 + m. Let h(n) = 3*n**2 + n. What is h(c)?
10
Let x(j) = 7*j - 3. Let o(d) = -4*d + 2. Let q(g) = 5*o(g) + 3*x(g). Let l = -10 - -4. Let p = -7 - l. Determine q(p).
0
Let p(k) = -31 - 2*k - k**2 - 22 + 52. What is p(-5)?
-16
Let j(c) = -c**3 - 11*c**2 - 11*c - 10. Suppose -2*y - 4*g + 8 = -3*g, -4*y + 4*g = -40. Suppose y*n = -0*n - 60. Calculate j(n).
0
Let q(o) = 2*o**2 + 2*o + 2. Let m(v) = -v**2 - 3*v + 7. Let p(k) = 2*k - 6. Let w(d) = 3*m(d) + 4*p(d). Let u(c) = -4*q(c) - 3*w(c). Calculate u(3).
-5
Let b(t) = 25*t**2 - t. Let d(p) = 27*p - 134. Let f be d(5). What is b(f)?
24
Let x(j) = 143*j + 7 + 144*j - 277*j - 4*j**2 + 5*j**2. Give x(-10).
7
Let z(m) be the third derivative of -m**6/360 - m**5/24 + m**4/4 + 5*m**3/2 + 17*m**2. Let x(b) be the first derivative of z(b). What is x(-6)?
0
Let b(q) = -43 - 42 - 13*q + 84. Give b(1).
-14
Let y(g) be the third derivative of g**8/20160 + g**7/630 +
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-21360))
-32
8 - ((17 - 4) + 5)
-10
(86/170280*-132)/(-1 - 42/(-5))
-1/111
Evaluate (-32)/(-5) - (-166 + 1 + 171).
2/5
Calculate 2/((-51)/18 - -2) - 4549843/285555.
-55/3
What is the value of 2/4*(-109 - (-6979)/63)?
8/9
What is the value of 817/(-163) + (700/(-5 + 25) - 30)?
-2/163
Calculate (4/7)/(78744/(-32424)).
-4/17
Evaluate (247/(-52))/((-8)/32) - 22.
-3
Evaluate ((-511)/63 + 5)/((-70)/(-945)).
-42
Evaluate (-34)/((-7140)/(-3591))*82/(-123).
57/5
What is (63248/(-236) + 204)*(0 - 1)?
64
Calculate (-44)/(34760/(-237)) + (-37)/15.
-13/6
Evaluate -1*(101/(2929/928) + -4 + 1).
-29
What is (-1 - 1)/(-6)*1373190/(-50300) - -9?
-1/10
((-8)/52)/((-5040)/70980)
13/6
Evaluate (-266336)/(-5330) + 74/2405.
50
(0/8)/8*-1 + 7*104/28
26
What is the value of -1610 + 1576 + 84/3?
-6
Evaluate ((-4)/12)/(((-9)/216*-4)/(-1 + 2)).
-2
Calculate 65/(-130)*(-1)/(-4).
-1/8
What is the value of -25 - (6999/189 - 368/11592)?
-62
1620/450 + 7/(1785/(-1098))
-12/17
Calculate (-24073)/1995 - (70/75 - 1) - 10.
-22
Calculate 72/(-117) - 592200/13650.
-44
1 - 24156/(-7381)*11/(-2)
-17
2688*436/16023 + 0 + (-16)/14
72
What is (-8 - -5) + (-4)/214*(-246587)/1546?
-2/107
Evaluate 30/12*(0 - 24 - 2).
-65
-42 + 1188/253*23
66
What is the value of (42 - (-41 - -40)) + -63?
-20
572/715 + (-806)/45 + 18
8/9
What is the value of (-24)/(-45)*(-5280)/275 + 10?
-6/25
Calculate 17/(-1) - (-7)/(896/2208).
1/4
-11*(1 + -2)*2345/(-4620)*-12
67
Calculate 560/(-14 - -42) + -61 + 5.
-36
What is the value of (-1 + (19 - (0 - 3)))*90/560*40?
135
24*28/315*(-135)/(-198)
16/11
(-2044)/(-84315)*(-1 + -10)
-4/15
Evaluate 6396 - 6326 - 47*1.
23
Evaluate (283 + -283)/(10 + -6).
0
What is ((-33)/6)/11 - 12/144*-222?
18
Calculate 60/(-108) - 12*(-876)/19116.
-1/177
What is the value of (-513)/243*(-30 - 15)?
95
What is the value of (15/(-10))/(((-2254)/49)/(-2208))?
-72
Evaluate (-1 - -1)/((-160)/(-95 + 175)).
0
Calculate (5/(-10))/((-54)/(-3672)*1037).
-2/61
(0 - (-18)/(-57))*480/(-10080)
2/133
Calculate 2/(-57)*47/(4230/(-150))*(-36)/5.
-8/19
Evaluate (-12)/18*1*((12 - 15) + 465/10).
-29
What is (0 + 2/4)/(114675/(-495) - -232)?
3/2
Evaluate 122/(-424) + (-8070)/(-213855).
-1/4
What is the value of 896/(-12) - 42042/(-546)?
7/3
Evaluate (-171)/(-456)*(9/2 + (5 - 11) + 1).
-3/16
(261/58)/((-3 + (-1)/(-1))/((-2)/5))
9/10
What is ((-1)/5)/((-8521)/(-1150335))?
-27
What is the value of (40 + 1050/(-25))*((-212)/(-7) + (-2)/7)?
-60
What is -6*(-255)/(-90)*((-3)/(-7) - (-130)/(-91))?
17
What is the value of 18/(-48) + 374/(-384) - 3/(180/(-80))?
-1/64
(-2)/((-4)/6)*(-220)/(325380/(-55709))
113
Evaluate ((-8)/3)/(-2 + -6 + (15176/336 - 37)).
-16
What is ((-372)/72 - -1)/(37*50/8325)?
-75/4
Evaluate ((-20)/7)/(-38 + 6351/203 + 7).
-10
What is (263 - 262) + 774/(-72)?
-39/4
Calculate 17030/3930*24/1300*15.
6/5
Calculate 5698/(-4477) + 532/539.
-2/7
1/((-9)/6)*(-52 + (-9807)/(-189))
2/27
21/15 + 27896/(-2440) + (56 - 46)
-2/61
(-175)/(-20)*840/4900 + 19*(-1)/6
-5/3
What is the value of (-27)/(-54)*(1160/152 - 7)?
6/19
What is the value of (-10)/(-174)*((-138)/(-30) + 1529/(-695))?
4/29
What is the value of 9/(-12) + (-3690)/5904?
-11/8
What is the value of 55 - (-1)/(513/(-28500))?
-5/9
Calculate (51/(-6))/((-1420)/710).
17/4
(43 - (-110210)/(-2568)) + 5/(-6)
-3/4
What is 10610/14854*1617/35?
33
What is the value of ((-16950)/(-225) + -74)/(98/(-609))?
-58/7
What is (-3)/(51/4)*(-392 + (-34799)/(-89))?
4/17
What is the value of (3 - -10) + 21/(-9) + (-85078)/1239?
-58
What is the value of -56 - ((-411 + 11)/16 + 11)?
-42
Evaluate (204 - (-82410)/(-205))*2/(-12).
33
Calculate 9 + (320044/445)/(-58).
-17/5
135*340/(-306) - -296
146
What is the value of 5*38*4/(-10)*(-50)/(-200)*-5?
95
What is the value of -4 + (-135)/(-35) + ((10920/49)/13 - -6)?
23
Evaluate (-2*26/25038)/((-5)/(-45)).
-2/107
Evaluate (8045/157682)/((-50)/(-7)).
1/140
Evaluate -25*(-68 - 5491/(-85)).
85
Evaluate 9/(171/133) - -4.
11
What is the value of ((-49)/(-7) - (-3 + 16))*19/((-2565)/18)?
4/5
Calculate (37 + 1240/(-31))*(-35)/15.
7
What is 94/141*(116/(-10))/((-96)/(-60))?
-29/6
Evaluate (9128/(-714) - ((-12)/(-34))/(-3))*(-5 - -2).
38
What is the value of (62321/(-8596) + 0 + 7)/(1 + 5/8)?
-2/13
Evaluate (12 + 12625/(-300) + 30)*-1*8.
2/3
What is the value of (-8 - 304/(-32))*(5 + (-19)/(-3) + 4)?
23
Calculate -20 + 29220/(-380) - (13 - 11)*(-5)/(-95).
-97
Calculate ((-448)/(491008/822))/((-243)/(-4)).
-1/81
What is the value of ((-21)/18)/(-17 + 799/34 + -7)?
7/3
(6/(-75) - (-2)/19500*3530)/((-3)/9)
-11/13
What is -2*51/6 + -54 + 9735/132?
11/4
Evaluate (-151 - -149)*((-57)/(-58)
|
{
"pile_set_name": "DM Mathematics"
}
|
value? (a) -0.1 (b) 0 (c) 0.13 (d) 2/103 (e) -5 (f) 3.5
d
What is the third smallest value in -0.28, -6, 1, 6, -1/4?
-1/4
Which is the third biggest value? (a) 1 (b) 2/7 (c) 191881 (d) 2/3
d
Which is the second biggest value? (a) 7 (b) 6/7 (c) 0.21 (d) -2/7 (e) 3/7
b
What is the third smallest value in -3, 0, -0.37787?
0
What is the fourth smallest value in -3/2, 4, -5, 2/1455?
4
What is the fourth smallest value in 1, -3/17, -4, -0.03?
1
What is the second smallest value in 5/2, 1, -2430, -0.3?
-0.3
Which is the third biggest value? (a) -23 (b) -2/5 (c) -82
c
What is the biggest value in 4, -5, -880, -0.1?
4
Which is the second smallest value? (a) -1/91 (b) 1/6 (c) -83
a
Which is the fifth smallest value? (a) 5 (b) -2/315 (c) -0.15 (d) -2/15 (e) -3
a
What is the fifth smallest value in -3, -1/8, -25, -3/8, -26, 1?
-1/8
What is the fifth smallest value in 2/5, 11/2, 1, 5, -2?
11/2
What is the fourth smallest value in -1, -0.1, 1/3, 133.66, 2/15?
1/3
Which is the fifth smallest value? (a) -3 (b) 5 (c) -2 (d) 4 (e) -126
b
What is the fourth biggest value in -0.12, 2/5, -6, 47, 8, 4?
2/5
What is the biggest value in 20, -286, 1/5?
20
What is the second biggest value in 143/4, 5, 12/7?
5
Which is the second biggest value? (a) 200/71 (b) 0.01 (c) -0.5
b
What is the second biggest value in -430, 196, 9?
9
Which is the second biggest value? (a) 0.5 (b) 1/3 (c) -2/7 (d) -2/21483
b
Which is the fifth smallest value? (a) -0.5 (b) 0 (c) -78 (d) -3 (e) 3/5 (f) 19
e
What is the smallest value in -0.5, -1, -2/9, -2/25, 3?
-1
Which is the fourth smallest value? (a) 1 (b) -1/5 (c) 39 (d) 6.03
c
What is the smallest value in -5, -2, 8, -4, -0.0219?
-5
Which is the smallest value? (a) -10175/8 (b) 4 (c) 0.3 (d) 0.4
a
Which is the smallest value? (a) 1 (b) 159/13 (c) -24/7
c
Which is the biggest value? (a) 2/7 (b) -1/4 (c) 7 (d) 1/5 (e) -73 (f) 2/13
c
What is the fourth biggest value in -63/5, -13, -3, 0.3, 4/3?
-63/5
What is the third smallest value in -230/61, -2/7, -3?
-2/7
What is the second smallest value in -0.04, -4, 4/3?
-0.04
Which is the fifth biggest value? (a) -0.3 (b) 18 (c) -1714 (d) 4 (e) -1/4 (f) -3/4
f
What is the second smallest value in 6, -2/13, 1/4, 1/110, 5?
1/110
Which is the fourth biggest value? (a) 259 (b) 2/11 (c) 11.7 (d) 4 (e) -0.5 (f) -1/6
b
What is the fourth smallest value in -0.9, 2.7, 5, 15/4?
5
Which is the biggest value? (a) 5 (b) -1/7 (c) -146.6
a
Which is the fourth smallest value? (a) -0.2 (b) 0.054 (c) -1 (d) 1/5 (e) -1/3
b
What is the third biggest value in -3, 157743, 0.3?
-3
What is the second biggest value in 1/7779, 2/15, -4?
1/7779
Which is the fourth biggest value? (a) 2/11 (b) -2/19 (c) -3 (d) 3 (e) -0.3 (f) -50
e
Which is the third smallest value? (a) 1 (b) -102/7 (c) 0 (d) 4 (e) 1/4
e
What is the second smallest value in 0.3, -3, -30/13, -1.51?
-30/13
What is the biggest value in 32, 1/2, -4/9, 4/33?
32
What is the biggest value in 5, 0, 4, 0.025?
5
Which is the third smallest value? (a) -889 (b) 0.2 (c) -24/11 (d) 5 (e) 4/3
b
Which is the biggest value? (a) -1 (b) -3 (c) -2433 (d) -5 (e) -2
a
What is the second smallest value in 0, -4, -15, 2, -5, 18?
-5
What is the sixth smallest value in -0.163, 2, -7, 3/4, -6, 4?
4
Which is the third smallest value? (a) -194 (b) 0.09 (c) -30/7 (d) -5
c
Which is the second smallest value? (a) -3/13 (b) -1/8 (c) 4/1027
b
Which is the fifth biggest value? (a) 0.02 (b) 1/3 (c) 4 (d) 0.4 (e) 0.27
a
Which is the smallest value? (a) -1/23 (b) 16 (c) -1
c
Which is the fifth biggest value? (a) 2 (b) -3 (c) 1 (d) -1/69 (e) 35
b
What is the second biggest value in -5, 0.1, 2, -11/716, -8, -3?
0.1
Which is the third biggest value? (a) 9 (b) -5 (c) 3157
b
Which is the second biggest value? (a) -2 (b) -16/3 (c) 6/23 (d) 2/13
d
Which is the fourth biggest value? (a) 2/13 (b) -200/3 (c) 2 (d) -0.1 (e) 0.01
d
What is the fifth smallest value in 51, -2/7, -264, -3/5, 4?
51
Which is the biggest value? (a) -2 (b) -1/4 (c) -7/3 (d) -0.02 (e) -12/5
d
What is the second biggest value in 0.3, 51978, 1?
1
Which is the second biggest value? (a) -0.09 (b) 7/108 (c) -0.4
a
What is the smallest value in -0.2, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 812. Let l(j) = -11*j**4 - 389*j**3 - 1931*j**2 - 882*j + 3249. Let f(p) = -9*k(p) + 2*l(p). Factor f(n).
5*(n - 1)*(n + 2)*(n + 9)**2
Let m be -3 - (1722/9)/7*(-6)/20. Determine p so that 7/5*p - 4/5 + m*p**2 + 3*p**3 = 0.
-1, 4/15
Let g = -2124 - -2155. Let o be -1*g/(-7) + (81 - 85). Factor 3/7*p**2 - 6/7 + o*p.
3*(p - 1)*(p + 2)/7
Let z be 360/90 + -356*(-6)/5. Let n = -430 + z. Factor -4/5 + n*o**3 + 2/5*o**4 - 6/5*o + 2/5*o**2.
2*(o - 1)*(o + 1)**2*(o + 2)/5
Let v = 64057/3 - 64055/3. Factor v + 1/3*a**2 + a.
(a + 1)*(a + 2)/3
Let c = 579567 - 579565. Solve -76*i**c - 188/3*i**3 - 24*i + 0 + 64/3*i**5 + 32/3*i**4 = 0 for i.
-1, -3/4, 0, 2
Let w(n) = n**4 + n**3 + n**2 - 2*n + 1. Let x(r) = 2*r**4 + r**3 - 2*r + 1. Let z(h) = -2*w(h) + 2*x(h). Factor z(s).
2*s**2*(s - 1)*(s + 1)
Let l = 46 - 9. Suppose -3*r + l = d, 2*d - 255 = -3*d - r. Determine y so that 18 + 211*y**3 + 756*y + 4*y**5 - d*y**4 - 342 - 648*y**2 + 0*y**5 + 53*y**3 = 0.
1, 3
Let c(n) be the second derivative of n**6/80 + 3*n**5/10 + 9*n**4/4 + 35*n**2 + 26*n. Let h(q) be the first derivative of c(q). Factor h(d).
3*d*(d + 6)**2/2
Factor -170/3 + 4/9*h + 2/9*h**2.
2*(h - 15)*(h + 17)/9
Let f(x) be the first derivative of -x**4/4 + 4*x**3 + 85*x**2/2 + 476. Factor f(u).
-u*(u - 17)*(u + 5)
Let u(c) be the third derivative of 24*c**3 + 7*c**4 + 2*c**2 + 5/12*c**5 + 1/120*c**6 + 34*c + 0. Factor u(j).
(j + 1)*(j + 12)**2
Let x(b) be the first derivative of -5*b**4/42 - 13*b**3/21 + 6*b**2/7 + 95*b - 97. Let n(l) be the first derivative of x(l). Find u such that n(u) = 0.
-3, 2/5
Let s(h) be the third derivative of 5*h**8/336 - 3*h**7/14 - 25*h**6/24 + 281*h**5/12 + 35*h**4/2 - 2450*h**3/3 - 637*h**2 - 3. Find i, given that s(i) = 0.
-5, -2, 2, 7
Let y be 180/(-135)*(-3)/1. Factor 0*n**2 + 216 - 4*n**2 + 117*n + y*n**2 - 3*n**3 + 4*n**2 + 2*n**2.
-3*(n - 8)*(n + 3)**2
Let u(o) be the second derivative of -o**4/36 + 2*o**3 - 35*o**2/6 - 230*o - 11. Factor u(j).
-(j - 35)*(j - 1)/3
Suppose -15*w + 186 = 66. Let j(r) be the third derivative of -1/3*r**3 - 1/120*r**5 + 0*r + w*r**2 + 0 + 1/12*r**4. Factor j(t).
-(t - 2)**2/2
Let l(v) be the second derivative of -v**7/84 - 331*v**6/60 + 333*v**5/20 - v**4/12 - 665*v**3/12 + 333*v**2/4 - 926*v. Find t, given that l(t) = 0.
-333, -1, 1
Let l be 3/((-81)/(-12) - 6). Solve 4*g**4 + 189*g**3 - 207*g**3 - 5*g**l = 0 for g.
-18, 0
Let f(u) = u**3 + 13*u**2 + 29*u - 8. Let g be f(-10). Let 4*x**3 - x**4 + 307*x - 3*x**g - 154*x - 153*x = 0. What is x?
0, 1, 3
Suppose 5*g - 67*j = -65*j + 36, 7*j = -5*g - 81. Let 8/13*t + 2/13*t**g + 6/13 = 0. What is t?
-3, -1
Let h(i) be the first derivative of i**4/4 + 23*i**3/3 - 124*i**2 - 4637. Find l such that h(l) = 0.
-31, 0, 8
Let v(q) be the third derivative of -4*q**5/135 + 313*q**4/54 + 158*q**3/9 + 1422*q**2. Factor v(n).
-4*(n - 79)*(4*n + 3)/9
Suppose 0 = -19*u + 13*u + 1806. Let g = u - 299. Solve -4/11*p**5 + 8/11*p - 24/11*p**g + 6/11*p**4 + 14/11*p**3 + 0 = 0 for p.
-2, 0, 1/2, 1, 2
Suppose 0 = 175*p - 174*p - 161. Suppose 0*i**2 + 167*i**3 - 2*i**5 + 4*i**2 - p*i**3 = 0. What is i?
-1, 0, 2
Let 16/5*v + 16/5 - 4/5*v**3 - 4/5*v**2 = 0. What is v?
-2, -1, 2
Factor -48 + 2/7*r**2 + 76/7*r.
2*(r - 4)*(r + 42)/7
Let k(s) = s**2 + 23*s + 5. Suppose 0 + 30 = -6*f. Let z(n) = -12*n - 3. Let o(y) = f*z(y) - 3*k(y). Let o(c) = 0. What is c?
-3, 0
Suppose -125*k - 172 = 131*k - 294*k - 20. Factor -2/3*j - 20/3 + 1/6*j**k + 13/6*j**3 + 5*j**2.
(j - 1)*(j + 2)**2*(j + 10)/6
Let c = 4639657/252155 - 1/50431. Factor -4/5*f**4 + 0 - 96*f**2 - c*f**3 + 576/5*f.
-4*f*(f - 1)*(f + 12)**2/5
Let j(b) be the third derivative of 0*b - 9/4*b**4 + 49*b**2 - 1/720*b**6 + 0*b**3 - 1/10*b**5 + 0. Solve j(v) = 0.
-18, 0
Let a = 4861 - 4859. Let t(j) be the first derivative of 14 + 1/5*j - 1/15*j**3 + 0*j**a. Factor t(o).
-(o - 1)*(o + 1)/5
Let
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{
"pile_set_name": "DM Mathematics"
}
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mon multiple of z and y(2)?
3
Suppose 5*j - f = 1399, 432*j - 429*j - 3*f - 861 = 0. Calculate the least common multiple of 6 and j.
834
Let y = 206896/9 - 22984. What is the common denominator of -70/1629 and y?
1629
Suppose 6*f - 11*f + 25 = -3*k, -5 = -5*f - k. What is the common denominator of f + -3*(-6)/(324/(-67)) and 61/66?
198
Let r(z) = -296*z**2 - 11*z - 12. Let y be r(-1). Let g = y - -301. What is the smallest common multiple of 32 and g?
32
Let f be (-184)/40 - -4*(-1)/10. Let d(n) = -2*n - 6. Let r be d(f). Suppose 4*m - 3 = -3*w + 3*m, -m + r = 4*w. Calculate the least common multiple of 7 and w.
7
Let i be (-5)/15 + (-212)/(-6). Let v = -30 + i. What is the common denominator of -9/2 and (23/v)/((-9)/(-5))?
18
Suppose 10*o - 16 = -5*a + 12*o, 0 = 2*a - 4*o. Suppose -2*j + 3*n = -56, n + 0 + a = 0. Calculate the least common multiple of j and 3/2*8/6.
22
Suppose -4*v - 4*w = 4, 0 = -v - v - 5*w - 11. Let l = -5696/5 + 22721/20. Find the common denominator of (-64)/9 + 3 + v and l.
180
Let v(b) = b**3 + 14*b**2 + 14*b - 7. Let k be v(-13). Let t be (2/1)/(-4*k/(-53272)). Let s = 1323 + t. What is the common denominator of -11/7 and s?
35
Suppose 0 = 4*w + 2*m + 9 - 19, 2*m + 5 = w. Suppose -w*v - 5*k = -4*k - 56, 5*k = -3*v + 64. What is the lowest common multiple of v and 210?
630
Suppose 5*q - 47 = -3*n, -5*n - 17 = -3*q - 4*n. Suppose 3*o - q*o - s + 26 = 0, -3*o + 23 = -s. Calculate the least common multiple of 3 and o.
21
Let f = -438 + -1450. Let k = f - -20783/11. Find the common denominator of 85/388 and k.
4268
Let a = 210/23 - 4033/414. Calculate the common denominator of a and (-39)/(-3) + 10449/(-324).
36
Suppose -72*a = -64*a. Suppose n - 204 + 51 = 0. Suppose a = 8*u - n - 23. What is the smallest common multiple of 10 and u?
110
Let u(d) = d**3 - 2*d**2 - 90*d + 962. What is the least common multiple of u(12) and 9?
11898
What is the common denominator of -4/15 and (168/(-672))/(390/(-716))?
390
Let u = -91 + 261. Suppose 2*h + 90 = -u. What is the common denominator of 3/h - (-20)/(-50) and -113/20?
260
Let a(k) = -37*k + 39. Let w be a(1). Suppose 4*s - 28 = -3*j + w*j, 0 = 4*j - 5*s - 28. Calculate the smallest common multiple of j and 39.
156
Let o = 5985 + -5612. What is the least common multiple of o and 4?
1492
Let j be (-96)/(-18)*33 - -4. Find the common denominator of ((-13)/13)/(j/(-352)) and -41/24.
360
Let f = -28 + 37. Suppose -3*g = -4*g + f. Let l = 13 - g. Calculate the lowest common multiple of 4 and l.
4
What is the smallest common multiple of 760 and 36/6 - 28 - -82?
2280
Let m = 19004/17 + -48079491/43010. What is the common denominator of m and -12/2783?
27830
Suppose 4*d = 5*d - 3. Let r = 770 + -674. Calculate the smallest common multiple of 6 and (0 + d/(-2))*r/(-9).
48
Let y be 6132/(-63) - (-4)/3. Let s = -69 - y. What is the least common multiple of 135 and s?
135
Let r = -2337 - -9211/4. Let b = -125/12 + r. Let q = -223/6 - b. Find the common denominator of q and 57/20.
20
Let b(q) = 185*q + 5. Let h be b(-1). Let x = -166 - h. What is the smallest common multiple of 30 and x?
210
Suppose 7*p = 22462 + 32663. Calculate the smallest common multiple of p and 8.
63000
Suppose 0 = 5*i - 5*c - 40, -5*c = -4*i - 2*c + 28. Suppose 0 = -32*z + 21*z + 18*z. What is the smallest common multiple of 16 and (z + -7 - i)/(-1)?
176
Suppose -n + 15 = 2*q, n + 16 - 23 = -q. Let d(u) = 9*u + 3. Calculate the lowest common multiple of d(5) and q.
48
Suppose -5*s - g + 60 = -1586, -2*s = 3*g - 661. Calculate the least common multiple of s and 56.
2632
Let x = 13/19 - 71/798. Find the common denominator of -211/210 and x.
210
Let n(j) = -34*j + 1282. Calculate the smallest common multiple of n(-23) and 430.
10320
Let r = 41669/441169 + -295236699912/3127008077845. Let f = 323026690809/56512663865 + r. Let x = f + -2/1139. Find the common denominator of x and -4/9.
63
Let k = -395/92 + 3913/1656. What is the common denominator of 2 - 1*668/96 and k?
72
Suppose 40182 = 16*b + 36*b - 1678. What is the smallest common multiple of b and 28?
3220
What is the least common multiple of (4/(-7))/(-8 - 1173/(-147)) and (-76)/(-18) - (-22)/(-99)?
28
Let r(m) = 195*m**3 + 29*m - 28. What is the lowest common multiple of r(1) and 154?
2156
Let g be (-16)/864*(-2904738)/4. Let i = 13449 - g. Calculate the common denominator of -5/12 and i.
36
Let t = -440539/30 + 44038/3. Let g = -238/11 - -40069/1826. Calculate the common denominator of t and g.
830
Let k(v) = -2*v**3 + 110*v**2 - 122*v + 1174. Calculate the smallest common multiple of 10 and k(54).
2090
Suppose 2*i + 2*i = 0. Suppose i = 7*x - 5*x + 10. What is the common denominator of 43/12 and (1/6)/(x/339)?
60
Suppose 114*t - 384 = -2*a + 118*t, 4*t = 3*a - 570. What is the least common multiple of 34 and a?
3162
What is the lowest common multiple of 18 and ((-50)/(-75))/(12/(-30) + (-1769)/(-4410))?
1764
Let z be (5/(-10) + 0)/((-2)/36). Let d(n) = -3*n + 27. Let b be d(z). Suppose b = -5*j - 0*j + 100. What is the least common multiple of 58 and j?
580
Suppose 182*s - 367*s + 209*s = 2592. Let n(y) = -y**3 + 6*y**2 + 4. What is the least common multiple of n(4) and s?
108
Suppose 43*m = -136 + 3618 + 2323. What is the least common multiple of m and 6?
270
Let o =
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{
"pile_set_name": "DM Mathematics"
}
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, -1/4, 2/7
Let p(x) = -8*x**2 - 39*x + 49. Let j be p(1). Determine o, given that 0 + 0*o - 2/5*o**4 + 4/5*o**5 + 2/5*o**j - 4/5*o**3 = 0.
-1, 0, 1/2, 1
Let w = 308 - 303. Let a(f) = 14*f**2 - 504*f + 15871. Let n(i) = -12*i**2 + 504*i - 15872. Let v(u) = w*n(u) + 4*a(u). Factor v(y).
-4*(y - 63)**2
Let x(d) be the first derivative of -2*d**3/15 + 144*d**2 + 1442*d/5 - 3684. Let x(u) = 0. What is u?
-1, 721
Let k be (-100)/6 + 35 + -28 - -10. Let n(p) be the first derivative of -28 + k*p + 1/6*p**2 - 1/12*p**4 - 1/9*p**3. What is x in n(x) = 0?
-1, 1
Let i = -172819 + 1036915/6. Find o, given that -o - 4/3 - i*o**2 = 0.
-4, -2
Let s be (-13)/(-39)*(867 + 0). Suppose -3*t = -2*o + 17, o + t + 4*t - 41 = 0. Solve o*g + 4 + 47*g + 5*g + s*g**2 = 0.
-2/17
Let v(d) be the second derivative of 0 - 8/3*d**4 - 27*d - 1/5*d**5 - 26/3*d**3 - 12*d**2. Find g, given that v(g) = 0.
-6, -1
Let u(p) = 32*p**2 - 2*p - 1. Let t(h) = -190*h**2 - 66*h + 6. Let i(j) = 2*t(j) + 12*u(j). Determine r so that i(r) = 0.
0, 39
Find q, given that 138*q - 6/7*q**2 + 972/7 = 0.
-1, 162
Let i(u) be the third derivative of u**5/60 - u**4/12 + u**3/6 + 68*u**2. Let c(x) = 4*x**2 + 2*x + 15. Let p(z) = 4*c(z) - 12*i(z). Factor p(w).
4*(w + 2)*(w + 6)
Let o(p) be the third derivative of -p**6/180 + 23*p**5/15 - 136*p**4 + 9248*p**3/9 - 78*p**2 + 1. Factor o(r).
-2*(r - 68)**2*(r - 2)/3
Let f(d) be the first derivative of d**6/2 - 6*d**5/5 - 15*d**4/4 + 6*d**3 + 3073. Find a, given that f(a) = 0.
-2, 0, 1, 3
What is r in 512/3*r + 6116/3 - 4/3*r**2 = 0?
-11, 139
Let m = -157 + 162. Factor i**2 + 3*i**2 + 20*i**5 + m*i**4 - 4*i**3 - 16*i**5 - 9*i**4.
4*i**2*(i - 1)**2*(i + 1)
Let u(l) = -18*l**2 - 8*l - 4. Let w(t) = -4*t**2 - 19 + 2 + 5 + 11. Let g(y) = -u(y) + 4*w(y). Factor g(z).
2*z*(z + 4)
Let c(g) be the second derivative of -g**8/2240 + g**6/240 - 23*g**4/6 + 4*g + 2. Let p(i) be the third derivative of c(i). Determine s, given that p(s) = 0.
-1, 0, 1
Let n(d) = 2*d**2 - 26*d + 68. Let k(f) = 2*f**2 - 25*f + 60. Let o(t) = 4*k(t) - 5*n(t). Factor o(b).
-2*(b - 10)*(b - 5)
Let m(y) = 12*y**2 - 20651*y + 8875090. Let x(q) = -3*q**2 + 5163*q - 2218770. Let z(h) = -3*m(h) - 11*x(h). Factor z(c).
-3*(c - 860)**2
Suppose -10 = -4*x + n - 2, -5*x = 2*n - 10. Factor -14*w**2 - 10*w + 11*w**x - 29*w**2 - 4*w**3 + 46*w.
-4*w*(w - 1)*(w + 9)
Let q(h) be the first derivative of -77 + 40*h**2 - 400*h - 4/3*h**3. Factor q(p).
-4*(p - 10)**2
Let v(j) = 6*j**4 + 15*j**3 + 27*j**2 - 3*j. Let z(d) = -29*d**2 + 2*d**2 + 4*d - 7*d**4 - 14*d**3 - d + d. Let f(y) = 4*v(y) + 3*z(y). What is r in f(r) = 0?
-3, 0
Let k(p) be the first derivative of -102 - 3/10*p**2 - 2*p + 1/15*p**3. Factor k(m).
(m - 5)*(m + 2)/5
Let s(p) = p**3 + 6*p**2 + 6*p + 6. Let x be s(-4). Let -27 + 91 - x*k - 39 - 2*k**2 - 45 = 0. Calculate k.
-5, -2
Let z(o) be the first derivative of 5*o**4/4 + 530*o**3 - 4805*o**2/2 + 3210*o - 5480. What is y in z(y) = 0?
-321, 1, 2
Let t(v) be the second derivative of -v**6/24 - 3*v**5/8 + 215*v**4/48 + 125*v**3/2 + 315*v**2/2 - v + 2714. Find h, given that t(h) = 0.
-6, -1, 7
Let g(c) be the second derivative of c**8/36960 - 3*c**6/440 + 9*c**5/110 + 85*c**4/4 + 10*c + 4. Let n(w) be the third derivative of g(w). Factor n(x).
2*(x - 3)**2*(x + 6)/11
Let x be 17836/364 - 138/3. Suppose 28/3*l + 4/3*l**x + 28/3*l**2 - 20 = 0. Calculate l.
-5, -3, 1
Let a(m) be the second derivative of -30/7*m**3 - 1/28*m**4 - 1350/7*m**2 + 0 - 121*m. Factor a(p).
-3*(p + 30)**2/7
Let j(b) be the first derivative of 3*b**4/16 - 19*b**3/4 - 267*b**2/2 + 585*b - 8098. Factor j(h).
3*(h - 30)*(h - 2)*(h + 13)/4
Factor 729 - 96339*c + 664*c**2 + 12*c**3 + 615 + 100591*c.
4*(c + 7)*(c + 48)*(3*c + 1)
Let h(j) be the second derivative of -j**7/126 + 7*j**6/15 - 146*j**5/15 + 644*j**4/9 + 392*j**3/3 - 5488*j**2/3 + 165*j - 4. Factor h(g).
-(g - 14)**3*(g - 2)*(g + 2)/3
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{
"pile_set_name": "DM Mathematics"
}
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ind the third derivative of 12324*t**4 - 3*t**2 + 41*t - 10 wrt t.
295776*t
What is the second derivative of -2*m**2*u**2*x + 1660*m**2*u**2 + m**2 + m*u - 6*u*x - u - 12*x wrt u?
-4*m**2*x + 3320*m**2
Find the second derivative of 4*n**5*y**2 - n**2*y**2 - 97*n**2*y - 2*n*y**2 - n - 4501*y**2 wrt n.
80*n**3*y**2 - 2*y**2 - 194*y
What is the third derivative of -1745*o**3 + 984*o**2?
-10470
Find the first derivative of 7*a**2*n*p - 16*a**2*n + 2*a**2*p**2 + a**2*p - a**2 - a*p wrt p.
7*a**2*n + 4*a**2*p + a**2 - a
Find the second derivative of -129*n**3*t**2 + 48*n**3 + n*t + t**2 + 2*t wrt t.
-258*n**3 + 2
Find the third derivative of 4470*w**4 - 4807*w**2.
107280*w
What is the second derivative of -9*u**3*z**4 + 2*u**3*z - u**3 + 83*u**2*z + 5*u*z**5 wrt z?
-108*u**3*z**2 + 100*u*z**3
Find the second derivative of n*s**2 - 9*n*s - 7*s**2 - 36*s + 2 wrt s.
2*n - 14
Find the third derivative of 275*a**6*t**3 - 11*a**2*t**2 - 21*a*t**3 - 2*t**3 wrt a.
33000*a**3*t**3
What is the third derivative of -b**6 + 2835*b**5 + 3*b**2 + 1415*b?
-120*b**3 + 170100*b**2
What is the third derivative of -2*c*i*m**3 + 4*c*i*m**2 - c*m + 20*i*m**3 + 3*i*m wrt m?
-12*c*i + 120*i
Find the second derivative of 79*q**2*s**3 + 96*q*s**3 wrt q.
158*s**3
What is the third derivative of 11816*i**3 - 18263*i**2?
70896
Differentiate -b**3*p - 289*b**3 + 885*b**2*p**2 - b with respect to p.
-b**3 + 1770*b**2*p
Differentiate 992*j*s**3 - 14*s**3 - 12 wrt j.
992*s**3
Find the third derivative of 32*k**5 - 99*k**4 - 5423*k**2.
1920*k**2 - 2376*k
Find the second derivative of -3*a*g**2*r + 4*a*g*r**2 - 31*a*r**2 - 9*g**2*r**2 + 5*g**2*r + 19*g**2 - 2*g*r**2 wrt g.
-6*a*r - 18*r**2 + 10*r + 38
What is the derivative of 144*h - 52?
144
What is the third derivative of 479*c**3 + 432*c**2 + 1?
2874
Find the third derivative of 19*i**6 - 23*i**3 - 16*i**2 - 20*i.
2280*i**3 - 138
Differentiate -f**2*j + 89*f**2 + 1553*j with respect to f.
-2*f*j + 178*f
What is the second derivative of -8329*v**2*z + 9*v*z - 2*v + 4*z + 1 wrt v?
-16658*z
What is the derivative of -k**2*l*w**2 + 45*k**2*l + 809*k*l*w**2 - 3*k*w + 67*k wrt w?
-2*k**2*l*w + 1618*k*l*w - 3*k
What is the second derivative of -612*a*q**2*r - 2*a*q**2 + 2*a*r**3 - a + 4*q**2*r**3 - 111*q*r wrt q?
-1224*a*r - 4*a + 8*r**3
What is the third derivative of 45*i**2*q**5 - 22*i**2*q**2 - 4*i**2 - 5*i*q**6 - 2*i*q wrt q?
2700*i**2*q**2 - 600*i*q**3
What is the third derivative of -n**4*o**2 - 867*n**3*o**3 - 2*n**2*o**3 + 13*n - 5*o**3 wrt n?
-24*n*o**2 - 5202*o**3
What is the first derivative of 55*g**2*o**2 + 2*g**2*o*y - 3*g**2 + g*o**2*y - 39*y wrt y?
2*g**2*o + g*o**2 - 39
Find the third derivative of 658*w**4 - 1509*w**2.
15792*w
What is the second derivative of -3*f**5*l + 17*f**4*l + 115*f*l - f wrt f?
-60*f**3*l + 204*f**2*l
Find the first derivative of -106*g**3 - 2*g**2 + 139 wrt g.
-318*g**2 - 4*g
Find the second derivative of -212*r**2 - 3*r - 25.
-424
What is the derivative of -752*i**2*y**2 + 931*i**2 wrt y?
-1504*i**2*y
Differentiate -41*b**2*t**2 - 8800*b**2 + 29*t**3 with respect to t.
-82*b**2*t + 87*t**2
What is the second derivative of b**4 - 11*b**3 + 102*b - 1?
12*b**2 - 66*b
What is the second derivative of 2*j*p**2*t - 2*j*p*t**2 - 65*j*t**2 + 3*j - 27*p**2*t**2 - p**2*t - 2*p*t wrt p?
4*j*t - 54*t**2 - 2*t
What is the third derivative of 67*u**3 - 31*u**2 wrt u?
402
What is the third derivative of -121*f**3*x + 5*f**3 + 816*f**2*x + 3*x wrt f?
-726*x + 30
Differentiate 396*z - 630 wrt z.
396
Find the first derivative of -3085*d - 1330 wrt d.
-3085
Find the second derivative of 2*q**3 - 1481*q**2*z + 2*q**2 - q*z - 219*q wrt q.
12*q - 2962*z + 4
What is the second derivative of -2*z**4 + 424*z**3 - z**2 - 3589*z wrt z?
-24*z**2 + 2544*z - 2
Find the third derivative of -d**4*g**2 - 4*d**3*g**2 - 35*d**3*g - 2*d**2*g**2 + 98*d**2 wrt d.
-24*d*g**2 - 24*g**2 - 210*g
Differentiate h**2*x + 3*h*x + 3*h + x - 294 with respect to h.
2*h*x + 3*x + 3
Differentiate -g**2*q - 290*g**2 + 548*g*q**4 - 2 wrt q.
-g**2 + 2192*g*q**3
Find the third derivative of 36*z**6 - z**5 + 17*z**2 - z.
4320*z**3 - 60*z
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{
"pile_set_name": "DM Mathematics"
}
|
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