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er when 192147 is divided by 4140.
1707
Calculate the remainder when 47202498 is divided by 5741.
5737
Calculate the remainder when 112586 is divided by 1735.
1546
What is the remainder when 30734 is divided by 2047?
29
Calculate the remainder when 47081 is divided by 23501.
79
Calculate the remainder when 12100354 is divided by 2642.
2636
What is the remainder when 382624 is divided by 99?
88
What is the remainder when 73330287 is divided by 1349?
1345
Calculate the remainder when 11620 is divided by 970.
950
Calculate the remainder when 363719 is divided by 9806.
897
What is the remainder when 639473 is divided by 213073?
254
Calculate the remainder when 4080115 is divided by 141.
139
What is the remainder when 4913200 is divided by 46792?
40
Calculate the remainder when 82014631 is divided by 11.
6
What is the remainder when 151563 is divided by 75238?
1087
What is the remainder when 4921498 is divided by 2570?
2518
Calculate the remainder when 7492030 is divided by 281.
8
Calculate the remainder when 934446 is divided by 77844.
318
What is the remainder when 177742 is divided by 1794?
136
Calculate the remainder when 7647195 is divided by 265.
90
What is the remainder when 4613873 is divided by 562?
415
What is the remainder when 14461 is divided by 6711?
1039
What is the remainder when 258751 is divided by 16?
15
What is the remainder when 894780 is divided by 223676?
76
What is the remainder when 3425752 is divided by 1080?
1072
Calculate the remainder when 819719 is divided by 3375.
2969
What is the remainder when 11684546 is divided by 13?
3
Calculate the remainder when 4211719 is divided by 1367.
1359
What is the remainder when 31248 is divided by 6122?
638
What is the remainder when 201983 is divided by 99757?
2469
Calculate the remainder when 48534 is divided by 1006.
246
Calculate the remainder when 35541334 is divided by 2530.
2424
Calculate the remainder when 1114996 is divided by 541.
536
Calculate the remainder when 1918092 is divided by 3413.
3399
What is the remainder when 292118 is divided by 251?
205
Calculate the remainder when 471390 is divided by 99.
51
What is the remainder when 192985321 is divided by 31?
29
Calculate the remainder when 2120731 is divided by 37.
2
Calculate the remainder when 364298 is divided by 2824.
2
What is the remainder when 933227 is divided by 12272?
555
Calculate the remainder when 5172744 is divided by 2654.
98
What is the remainder when 15166405 is divided by 38?
35
Calculate the remainder when 2217405 is divided by 3514.
71
Calculate the remainder when 1078243635 is divided by 282.
279
Calculate the remainder when 86681874 is divided by 1021.
1016
What is the remainder when 2551386 is divided by 3495?
36
Calculate the remainder when 15675030 is divided by 3387.
3381
What is the remainder when 147169 is divided by 145913?
1256
What is the remainder when 35541824 is divided by 2268?
2264
Calculate the remainder when 5599359 is divided by 2080.
2079
What is the remainder when 258366 is divided by 85?
51
What is the remainder when 1018886 is divided by 27534?
128
Calculate the remainder when 30679225 is divided by 2587.
2579
What is the remainder when 58475143 is divided by 42404?
27
Calculate the remainder when 63730023 is divided by 1388.
3
What is the remainder when 13167 is divided by 5905?
1357
What is the remainder when 680432 is divided by 680416?
16
What is the remainder when 107731 is divided by 107705?
26
Calculate the remainder when 1903156 is divided by 5766.
376
What is the remainder when 146881486 is divided by 1203?
1201
What is the remainder when 842719 is divided by 4321?
124
What is the remainder when 27046 is divided by 13435?
176
What is the remainder when 11754 is divided by 2276?
374
What is the remainder when 44951327 is divided by 1226?
37
Calculate the remainder when 335938 is divided by 579.
118
Calculate the remainder when 58006789 is divided by 98.
1
Calculate the remainder when 3329494 is divided by 34.
10
Calculate the remainder when 76944 is divided by 914.
168
Calculate the remainder when 5134463 is divided by 5134458.
5
What is the remainder when 40754 is divided by 40702?
52
What is the remainder when 72936 is divided by 63123?
9813
Calculate the remainder when 50487186 is divided by 439.
430
Calculate the remainder when 2548446 is divided by 2548269.
177
Calculate the remainder when 1159582 is divided by 193259.
28
Calculate the remainder when 47847 is divided by 15921.
84
What is the remainder when 26178647 is divided by 25?
22
What is the remainder when 3317341 is divided by 25518?
1
What is the remainder when 1262934 is divided by 1689?
1251
Calculate the remainder when 8756086 is divided by 23665.
36
Calculate the remainder when 12450435 is divided by 3869.
3862
What is the remainder when 662401 is divided by 331193?
15
What is the remainder when 374141994 is divided by 19?
17
What is the remainder when 78960671 is divided by 36?
35
Calculate the remainder when 22332 is divided by 3400.
1932
Calculate the remainder when 19398101 is divided by 7507.
13
What is the remainder when 202252 is divided by 5641?
4817
What is the remainder when 2011594 is divided by 1754?
1510
What is the remainder when 1034500 is divided by 172374?
256
What is the remainder when 16264966 is divided by 8132452?
62
Calculate the remainder when 29692742 is divided by 646.
644
What is the remainder when 283771 is divided by 35441?
243
What is the remainder when 84076519 is divided by 9113?
9094
Calculate the remainder when 76464 is divided by 1029.
318
What is the remainder when 1685326 is divided by 17197?
20
Calculate the remainder when 39554 is divided by 6575.
104
Calculate the remainder when 628359828 is divided by 190.
188
What is the remainder when 121224 is divided by 24059?
929
What is the remainder when 29467697 is divided by 88?
17
What is the remainder when 14033 is divided by 38?
11
Calculate the remainder when 128683 is divided by 31269.
3607
Calculate the remainder when 2363856 is divided by 590960.
16
What is the remainder when 1969726 is divided by 109423?
112
Calculate the remainder when 1340591 is divided by 446854.
29
Calculate the remainder when 226771055 is divided by 176.
159
What is the remainder when 879418 is divided by 109910?
138
Calculate the remainder when 42584919 is divided by 18.
15
Calculate the remainder when 966687 is divided by 107407.
24
Calculate the remainder when 714700 is divided by 24643.
53
Calculate the remainder when 16134869 is divided by 51.
50
Calculate the remainder when 8192499 is divided by 1250.
1249
What is the remainder when 11628916 is divided by 1823?
1822
Calculate the remainder when 3790735 is divided by 313.
305
Calculate the remainder when 424678 is divided by 1705.
133
Calculate the remainder when 2761596 is divided by 2455.
2176
Calculate the remainder when 170270 is divided by 28377.
8
Calculate the remainder when 817462 is divided by 27.
10
What is the remainder when 342005 is divided by 341922?
83
What is the remainder when 204949 is divided by 138?
19
Calculate the remainder when 89774987 is divided by 2671.
6
What is the remainder when 5957795 is divided by 5436?
5375
What is the remainder when 30596487 is divided by 438?
435
Calculate the remainder when 33314635 is divided by 5558.
5541
What is the remainder when 10718007 is divided by 2679488?
55
Calculate the remainder when 3690083 is divided by 109.
106
What is the remainder when 2685808 is divided by 177?
10
Calculate the remainder when 22040480 is divided by 2003677.
33
Calculate the remainder when 228710493 is divided by 13.
11
Calculate the remainder when 9582811 is divided by 49.
28
What is the remainder when 366637 is divided by 7331?
87
Calculate the remainder when 401710961 is divided by 138.
137
Calculate the remainder when 5484831 is divided by 4127.
48
What is the remainder when 48817998 is divided by 50?
48
What is the remainder when 170525 is divided by 6314?
47
Calculate the remainder when 8415209 is divided by 135728.
73
What is the remainder when 102363 is divided by 2707?
2204
Calculate the remainder when 35929747 is divided by 131.
115
What is the remainder when 239866 is divided by 2577?
205
What is the remainder when 40437878 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
4*s + 2*g + 2*g + 12 = 0. Which is the smallest value? (a) 0 (b) -1 (c) s
b
Let t = -31/5 - -27/5. What is the second biggest value in 0.4, t, -1?
t
Let q = -0.6 - 3.4. Let d = 7 + q. Let s = -44 + 45. What is the smallest value in d, s, 1/5?
1/5
Let z = -1 + 0.4. Let a = -3.6 - z. What is the smallest value in 1/6, a, -1/2?
a
Let o be 6/2097*(1 + -4). Let x = o - -484/2097. Suppose -4*y + 35 = 2*l - 9*y, -4*l - y = -15. What is the second biggest value in -1, x, l?
x
Let p = 8 - 7.88. Let s = -0.18 - p. What is the smallest value in -0.2, 4, s?
s
Suppose 5*i = 18 - 3. Let t = 10 + -15. What is the second smallest value in 2, t, i?
2
Let d = 0.0007 - 0.5007. Let i = -21.91 - -22. Let x = i + -0.89. Which is the second smallest value? (a) d (b) x (c) -2/11
a
Suppose 3*d = 6*d + 4*k - 2, -2*d + 3*k = 10. Let p(u) = u + 2. Let n be p(-2). Let v be -4*(-1)/(-7) + n. Which is the biggest value? (a) v (b) 1/2 (c) d
b
Let m = -0.7 + 3.7. Let a = 0.1 + 0.1. Let c = 0.1 + a. What is the third smallest value in m, c, 2/9?
m
Let w = -7 - -7.01. Let v = 5.01 - w. Let y(h) = h**3 + 3*h**2 + 3*h + 1. Let i be y(-2). What is the third biggest value in i, v, 2?
i
Let x = 3 + -3. Let c = x - -2. Let s = c + -1.6. What is the third biggest value in -2/13, 0, s?
-2/13
Let h = 188 + -182.96. Let f = h - 0.04. Which is the biggest value? (a) -0.1 (b) f (c) -0.2
b
Let o = 9 + -6. Suppose -o*d = 2*m - 3, -d - 4 = -5*d + 2*m. Let h be 22/70 + (-4)/(-14). Which is the second smallest value? (a) h (b) 2 (c) d
c
Let p = 0.01 - -1.99. Which is the biggest value? (a) 3 (b) 1/4 (c) -0.8 (d) p
a
Suppose 5*g = 6*g + 1. What is the biggest value in 2, -8, g?
2
Let k(i) = -i - 11. Let t be k(-15). Which is the third smallest value? (a) 0.3 (b) t (c) -1
b
Let x = -1.16 + 0.16. What is the second biggest value in 0.6, -5, x?
x
Suppose r - 1 = -5. Let p = -327/5 + 65. Which is the second smallest value? (a) r (b) p (c) -3/7
c
Let d = -0.05 - -0.25. What is the second biggest value in d, 0.5, -8?
d
Let u = 7 + -3. Let a be (852/(-30))/((-6)/10). Let d = -48 + a. What is the second smallest value in d, 5, u?
u
Let y = -0.069 - -4.069. Which is the second biggest value? (a) y (b) -0.4 (c) 3
c
Let t(i) = -i - 1. Let n be t(-1). Let c = 43/2 + -22. What is the biggest value in 0.4, c, n?
0.4
Let j be (7/(7/(-4)))/(-6). Let i = j - 5/12. What is the second smallest value in -0.1, -2/5, i?
-0.1
Let y = -0.28 + -13.72. Let t = -18 - y. Let f = 0.8 - 0.3. Which is the biggest value? (a) f (b) -2/7 (c) t
a
Let d = -10 + 8. Let k be 2*((-5)/d - -1). Suppose -k = -2*p - 1. What is the smallest value in 2, 1/9, p?
1/9
Let t = 41 + -29. Let q(a) = a**3 + 7*a**2 + 8. Let m be q(-7). Let g = m - t. What is the third biggest value in g, 2/5, -1/7?
g
Let m(p) = -p + 4. Let j be m(-4). Which is the smallest value? (a) 1/5 (b) j (c) -2
c
Suppose -5*w - 36 = -5*o - 6, -w - 16 = -3*o. Let j = -0.395 - 0.005. Which is the biggest value? (a) o (b) j (c) -2/3
a
Let j = -20 - -28. Which is the second biggest value? (a) 0.1 (b) 0 (c) j
a
Let s = -14 + 13.38. Let j = -0.12 - s. Let b = 0.5 - 0.3. What is the biggest value in j, -3, b?
j
Let r = 0.3 - -0.2. Let m = 64 - 69. What is the third smallest value in r, m, 3/5?
3/5
Let v = -0.43 + 0.46. Which is the second smallest value? (a) -3/4 (b) v (c) 3/4
b
Suppose 3 = -0*s - 3*s. Which is the third smallest value? (a) s (b) 1/3 (c) -2/7
b
Suppose 0 = 3*n - 127 + 313. Let g = -188/3 - n. Which is the second biggest value? (a) 3 (b) g (c) 5
a
Let k = 16 - 15.5. Which is the second smallest value? (a) -0.5 (b) 3/7 (c) k
b
Let v = -0.3 - -0.31. Let b = -2.99 - v. Let w = -4.4 - -4. What is the second smallest value in 4, b, w?
w
Let p = -0.39 - -0.99. Which is the third smallest value? (a) 3 (b) p (c) -2 (d) -5
b
Let n = 18 + -17.5. Let k = 0 - 0. Let q = -3 - k. Which is the biggest value? (a) 0.2 (b) q (c) n
c
Suppose 0 = -q + 5*q. Suppose q = -5*w - 5*d - 10, w = -w - 3*d. Let j(p) = p**3 + 5*p**2 - 5*p + 1. Let f be j(w). What is the smallest value in -2, -1/6, f?
f
Let n = 3.92 - -0.08. Let r = -3.8 + n. What is the second biggest value in r, -1/4, -1/7?
-1/7
Let m = 0 + -6. Let t be (m/4)/(21/(-28)). What is the second biggest value in 0.4, t, -2/7?
0.4
Let r = 831/8 - 104. What is the second smallest value in -0.03, -5, r?
r
Let f = 13 + -18. Let x be 2/f + (-7)/35. Which is the second biggest value? (a) x (b) -1/3 (c) -5
a
Let v = 0.1 - 1.1. Let i = 0.2 - 0.2. Let x = v - i. What is the third biggest value in 3/5, x, 4?
x
Let v = 0.07 - 0.07. Let y = -4 + v. Let o = y + 7. What is the second biggest value in 0.1, o, 0.3?
0.3
Let x(n) = -n**2 - 15*n - 18. Let v be x(-13). Let b be (5/2)/(12/v). What is the biggest value in 1, 0.5, b?
b
Let h be (1 + -2)*-4 - 1. Suppose -6 = h*j + 9. What is the third smallest value in j, -1, -1/4?
-1/4
Let f = -0.03 + 0.06. Let y = 0.33 - f. Let v be (-1)/((-2)/(-6))*1. What is the third biggest value in v, y, 2?
v
Let j = 5 + -11. Let r = 7 + j. Let z be (r/(-7))/((-6)/21). Which is the second smallest value? (a) -3 (b) z (c) -0.3
c
Let m be 12/(6/(-2)) + 3. Let n be m - ((-4)/10 - 1). Which is the second smallest value? (a) 2/17 (b) n (c) 1
b
Let q(z) = -z**2 - 3*z + 29. Let p be q(4). Which is the biggest value? (a) -1/2 (b) p (c) -1/5 (d) -2/5
b
Let v = -25.6 - -26. Let g = -0.9 + 1. Which is the second smallest value? (a) 0.3 (b) v (c) g
a
Let o be 17/(-21) - 4/(-6). Let r = 2/57 + 218/285. Let w = 13/10 - r. What is the second biggest value in -2, o, w?
o
Let o = -1.4 + -0.6. Let r = -2 + o. Let b = 7 - 5. What is the third smallest value in r, 0.4, b?
b
Let w = -7 + 6.7. Let z = -6 + 11. Which is the second smallest value? (a) 3/5 (b) z (c) w
a
Suppose 2*j - 3*j - 4*d = -1, 2*j = -4*d + 6. What is the biggest value in j, -1/6, -5?
j
Let r = -12 - -8. Let x = -3 - -3.2. Which is the second smallest value? (a) -0.1 (b) x (c) r
a
Let f(o) = -o**2 + 4*o + 2. Let x be f(5). Let g = 59/2 + -653/22. Which is the second biggest value? (a) x (b) g (c) -2/9
c
Let m = -2.9 + 3. Let x = 0.4 + m. Let p = -32/63 - -2/7. What is the second smallest value in x, -2, p?
p
Let d(j) = j**2 - 7*j + 8. Let p be d(6). Let s be (-6)/(-2)*(-12)/126. Which is the third biggest value? (a) -0.02 (b) p (c) s
c
Let o = 2.2 + -1.2. What is the biggest value in -4, 2/7, o?
o
Let y = -0.6 + 0.3. Let u = 0.25 + y. Let n = 2.05 + u. What is the biggest value in 5, n, -0.3?
5
Let u = 1.83 + 1.17. Let w be (3 + -1)/(4/(-6)). What is the second biggest value in u, w, 0.1?
0.1
Let v = 2 + 4. Let n = 6.4 - v. Let x = 7.3 + -7.8. What is the smallest value in x, 0.1, n?
x
Let z = -35 - -383/11. Let o be 5/(-30) - (-2)/4. Which is the third smallest value? (a) z (b) 0.3 (c) o
c
Let u be ((-2)/(-3))/(5*10/15). Which is the second biggest value? (a) -4 (b) 1 (c) 18 (d) u
b
Let g = 31 + -30. What is the third smallest value in 0, -2/7, g?
g
Let j = -0.9 + -1.1. Let o = j - -6. What is the smallest value in -2/11, o, 5?
-2/11
Let k = -6 + 2. Let v = -3.9 - k. What is the biggest value in -3/7, v, 3?
3
Let o = -1/13 + -10/39. Let n = -68/279 - -2/93. What is the third biggest value in -0.1, n, o?
o
Let p = -1.8 - -1.69. Let g = 0.03 + p. What is the second smallest value in 3/2, g, 3?
3/2
Let k = 0.13 + 2.47. Let u = k + -3. Let z = 3.1 + -0.1. Which is the second biggest value? (a) 0.4 (b) z (c) u
a
Let u = -0.39 - -4.99. Let y = -5 + u. What is the biggest value in y, -1, 0.4?
0.4
Suppose 20*v = 10*v + 10. Which is the smallest value? (a) v (b) 2/15 (c) -11 (d) -1
c
Let g be (-3)/5 - (-235)/225. Let m = -3 + 1. Let w = 2.5 + m. Which is the third biggest value? (a) w (b) g (c) -0.2
c
Let k = -3 + 7. Let v = k + 1. Let a be (1/7)/((-11)/(-22)). What is the second smallest value in -5, v, a?
a
Let o(l) = 3*l**2 - 6*l + 5. Let t be o(4). Let n = 175/6 - t. Let v be (0 - 1)/((-1)/4). Which is the second biggest value? (a) v (b) n (c) -3/2
b
Suppose 0 = -0*l + 4*l + 12. Let o = -1 + 0.5. Which is the third biggest value? (a) o (b) -0.2 (c) l
c
Let k = 40 - 79/2. What is the biggest value in k, -0.1, -3?
k
Let y be 1 - (0 + 6)/(-2). Let z be (-2 - -2)
|
{
"pile_set_name": "DM Mathematics"
}
|
9995 millimeters to centimeters.
3.749995
What is 2325221.1us in minutes?
0.038753685
How many grams are there in 33/5 of a kilogram?
6600
How many nanograms are there in nine tenths of a microgram?
900
Convert 881133.5 years to centuries.
8811.335
What is twenty-seven halves of a litre in millilitres?
13500
How many kilograms are there in 915.3078 grams?
0.9153078
How many millilitres are there in 3.606029 litres?
3606.029
How many centimeters are there in eighty-nine halves of a meter?
4450
How many nanograms are there in 1/16 of a milligram?
62500
How many nanoseconds are there in 47/4 of a microsecond?
11750
How many nanoseconds are there in 70317.48 weeks?
42528011904000000000
How many millilitres are there in seventy-six fifths of a litre?
15200
How many millilitres are there in 3/10 of a litre?
300
How many meters are there in 6/5 of a kilometer?
1200
What is 14112.88 nanograms in tonnes?
0.00000000001411288
What is three sevenths of a week in days?
3
Convert 0.5190088 centimeters to nanometers.
5190088
Convert 774387.4 litres to millilitres.
774387400
Convert 3.935985 millennia to decades.
393.5985
How many nanometers are there in 7986.05um?
7986050
How many months are there in 55432.81 centuries?
66519372
How many millimeters are there in one tenth of a meter?
100
Convert 90959.34kg to milligrams.
90959340000
What is 1/64 of a kilometer in millimeters?
15625
How many microseconds are there in 5402.156ms?
5402156
How many milligrams are there in twenty-one halves of a gram?
10500
How many millilitres are there in 38.60959 litres?
38609.59
What is 2832.676 hours in minutes?
169960.56
Convert 1728.271 decades to millennia.
17.28271
How many litres are there in 0.3593947 millilitres?
0.0003593947
What is 4.594866l in millilitres?
4594.866
Convert 13331.76nm to micrometers.
13.33176
What is 44/5 of a day in minutes?
12672
What is one tenth of a kilogram in milligrams?
100000
What is 6830.6787ms in days?
0.00007905878125
How many decades are there in 22083.23 millennia?
2208323
How many years are there in seven halves of a millennium?
3500
Convert 2340.621s to milliseconds.
2340621
How many millilitres are there in 5/4 of a litre?
1250
What is five eighths of a hour in seconds?
2250
How many milligrams are there in 1/10 of a gram?
100
How many millennia are there in 8242.33 years?
8.24233
Convert 671.7399 months to millennia.
0.055978325
How many decades are there in 81/2 of a millennium?
4050
What is 13/12 of a hour in seconds?
3900
Convert 405847.9 hours to microseconds.
1461052440000000
How many hours are there in 10/21 of a week?
80
How many years are there in 1/5 of a decade?
2
How many grams are there in 7.40588kg?
7405.88
How many months are there in 1.680548 decades?
201.66576
What is 0.9863061 weeks in nanoseconds?
596517929280000
Convert 69661.83 litres to millilitres.
69661830
Convert 0.928738 centuries to millennia.
0.0928738
How many kilograms are there in one quarter of a tonne?
250
How many seconds are there in 7/3 of a hour?
8400
Convert 0.5380615 nanograms to micrograms.
0.0005380615
What is 74804.28l in millilitres?
74804280
How many micrograms are there in 6/25 of a milligram?
240
What is 2.3341l in millilitres?
2334.1
How many millilitres are there in 0.3911724 litres?
391.1724
How many centimeters are there in 35.37922 millimeters?
3.537922
How many weeks are there in 1009.29864 hours?
6.00773
What is 1.154593 centimeters in nanometers?
11545930
What is 1647.668 years in decades?
164.7668
What is 5/4 of a litre in millilitres?
1250
How many months are there in one sixth of a decade?
20
How many centimeters are there in three tenths of a meter?
30
How many tonnes are there in 820.8506mg?
0.0000008208506
What is thirty-four fifths of a second in milliseconds?
6800
Convert 2.4107139 minutes to days.
0.001674106875
How many meters are there in 0.1792616 kilometers?
179.2616
What is five eighths of a micrometer in nanometers?
625
How many milliseconds are there in seventeen quarters of a second?
4250
How many seconds are there in 14/9 of a hour?
5600
What is 375.2092 micrograms in kilograms?
0.0000003752092
How many millimeters are there in 2.7122 kilometers?
2712200
How many months are there in 27/5 of a millennium?
64800
What is one quarter of a gram in milligrams?
250
How many micrometers are there in six fifths of a centimeter?
12000
What is five eighths of a kilogram in grams?
625
How many millilitres are there in fourty-five quarters of a litre?
11250
Convert 2.709409mg to grams.
0.002709409
How many months are there in 28/3 of a year?
112
How many grams are there in 7.009174 micrograms?
0.000007009174
What is 3/40 of a kilometer in millimeters?
75000
How many centimeters are there in twenty-one fifths of a meter?
420
Convert 0.3047485 days to microseconds.
26330270400
Convert 8.733841 years to centuries.
0.08733841
How many millimeters are there in twenty-six fifths of a centimeter?
52
How many millilitres are there in 21/2 of a litre?
10500
How many millilitres are there in 33/5 of a litre?
6600
What is 1.019075 micrometers in millimeters?
0.001019075
How many seconds are there in 10/3 of a minute?
200
What is 0.2980336 meters in nanometers?
298033600
How many meters are there in nineteen quarters of a kilometer?
4750
How many nanometers are there in one quarter of a micrometer?
250
What is sixty-one thirds of a hour in seconds?
73200
How many tonnes are there in 16932.81ug?
0.00000001693281
Convert 47.1514 nanograms to tonnes.
0.0000000000000471514
What is fourty-one halves of a tonne in kilograms?
20500
How many millimeters are there in one quarter of a meter?
250
Convert 0.242204ml to litres.
0.000242204
Convert 156993.417 minutes to weeks.
15.57474375
How many grams are there in 949389.9ug?
0.9493899
How many meters are there in 1/10 of a kilometer?
100
What is 82350.89 days in minutes?
118585281.6
How many milligrams are there in 3/50 of a kilogram?
60000
Convert 6308.204 days to weeks.
901.172
How many days are there in 1089.87741 milliseconds?
0.000012614321875
What is 806.9489ml in litres?
0.8069489
How many hours are there in eleven quarters of a day?
66
How many millilitres are there in three tenths of a litre?
300
What is three sevenths of a week in minutes?
4320
What is 54/5 of a microgram in nanograms?
10800
How many centuries are there in 6007.288 decades?
600.7288
What is 3/50 of a litre in millilitres?
60
What is 54265.05 minutes in days?
37.6840625
How many months are there in 6/5 of a decade?
144
What is 3/10 of a centimeter in micrometers?
3000
How many millilitres are there in twenty-six fifths of a litre?
5200
What is 25/4 of a millennium in months?
75000
How many tonnes are there in 282.3018g?
0.0002823018
How many micrograms are there in 32/5 of a milligram?
6400
What is seven sixths of a century in months?
1400
What is 95.10607 hours in microseconds?
342381852000
How many minutes are there in fourty-three thirds of a day?
20640
What is 3/8 of a kilometer in centimeters?
37500
How many millilitres are there in 6/5 of a litre?
1200
What is 27/5 of a millennium in centuries?
54
What is 72/5 of a day in minutes?
20736
What is 9205.573m in kilometers?
9.205573
What is 17.00643 nanoseconds in milliseconds?
0.00001700643
How many nanometers are there in 46/5 of a micrometer?
9200
How many months are there in 0.7595623 years?
9.1147476
How many years are there in 21/5 of a decade?
42
Convert 0.791681 kilometers to micrometers.
791681000
How many minutes are there in 3/5 of a day?
864
How many nanometers are there in one tenth of a millimeter?
100000
How many millilitres are there in three fifths of a litre?
600
How many nanograms are there in 0.677455 kilograms?
677455000000
What is 2.059908nm in meters?
0.000000002059908
What is 6/25 of a centimeter in micrometers?
2400
How many months are there in twenty-one quarters of a decade?
630
What is nine tenths of a micrometer in nanometers?
900
What is 636.5493 millennia in decades?
63654.93
What is seven quarters of a litre in millilitres?
1750
What is 6/25 of a second in milliseconds?
240
Convert 24.83845 centuries to millennia.
2.483845
What is 29/2 of a millennium in years?
14500
What is 55/2 of a kilogram in grams?
27500
How many millilitres are
|
{
"pile_set_name": "DM Mathematics"
}
|
23*a*l**3 + 4*l**2 wrt a?
-40*a**3 - 264*a**2*l**3
What is the second derivative of 4252*g**2*m**3 + 434*g*m**3 + 5*m**3 wrt g?
8504*m**3
Differentiate 99*a*i**3 + 422*i**3 wrt a.
99*i**3
What is the derivative of k**4*o**3 + 57*k*o**3 - 151*o**3 wrt k?
4*k**3*o**3 + 57*o**3
What is the third derivative of -7*c**6 - 11*c**4 - 4*c**2?
-840*c**3 - 264*c
Find the third derivative of 3884*n**4 - n**2 - 76*n wrt n.
93216*n
What is the third derivative of 66*r*z**3 - 358*r*z**2 - 5*r*z - 27*z**5 wrt z?
396*r - 1620*z**2
Find the third derivative of -26*h**4 - 5*h**3*n + 6*h**2*n + 18*n wrt h.
-624*h - 30*n
Find the second derivative of 2*k*o**3 - 2*k*o**2*t**3 - 123*k*o**2*t - 6*k*o*t + 5*k*t - t**3 wrt o.
12*k*o - 4*k*t**3 - 246*k*t
Find the third derivative of -26457*p**3*x - 2*p**2*x - 3*p**2 - 73*p + 4*x wrt p.
-158742*x
Find the second derivative of 1145*r**5 - 2*r**4 + 514*r + 3.
22900*r**3 - 24*r**2
Find the second derivative of -6*g**3*y**3 + 903*g**3*y - 22*y**5 wrt y.
-36*g**3*y - 440*y**3
What is the second derivative of 121*a**2*k**3*z + a**2*k**2*z**3 - 2*a*k - 2*k**3*z**3 - 9*k**3*z + 4*k*z**3 wrt a?
242*k**3*z + 2*k**2*z**3
What is the second derivative of -l**2*o**2 + 14*l**2 + 2*l*o**4 + 10*l*o**2 + 9*l*o wrt o?
-2*l**2 + 24*l*o**2 + 20*l
Find the third derivative of 319*u**4 + 60*u**2 + 2*u wrt u.
7656*u
Differentiate 269*z**2 - 247.
538*z
What is the derivative of -f**2*g - 20*f**2 - 187*f*g - 127 wrt g?
-f**2 - 187*f
Differentiate -71*d*w*z + 20*d*w + 19*w*z - 338*z wrt d.
-71*w*z + 20*w
What is the derivative of 108*t**2 - 308?
216*t
Differentiate -b*q*s + 40*b*q - 39*b*s - 2*q**2*s + 3*q**2 + 1 wrt s.
-b*q - 39*b - 2*q**2
What is the second derivative of 1499*n**3 - 108*n + 8?
8994*n
What is the first derivative of -1274*s**4 + s**2 + 3071?
-5096*s**3 + 2*s
Find the third derivative of 2*i**2*x*z**3 - 2*i**2*x*z - 15*i**2*z**3 + 25*i**2*z + 2*i*z**2 + 7*x - 6*z**3 wrt z.
12*i**2*x - 90*i**2 - 36
Find the third derivative of 2*k**2*o + k**2*y**3 + 2*k**2*y**2 + 4*k**2 + 2*k*o*y + 1534*o*y**3 + 4*y**2 wrt y.
6*k**2 + 9204*o
Find the third derivative of 200*v**5 - 2*v**4 - 503*v**2.
12000*v**2 - 48*v
What is the first derivative of -4*f**3*l**2 + 3*f**3*l + 3460*f**3 + 221*l**2 wrt l?
-8*f**3*l + 3*f**3 + 442*l
Find the third derivative of 64*i**3*p**3 + 4*i**3*p**2*z + 281*i**3*p**2 - 134*i**2*p**3*z + i*p**2 wrt p.
384*i**3 - 804*i**2*z
What is the third derivative of -2*r**3*y**3 - 24*r**3*y**2 + 2*r**3*y - 54*r**2*y**3 wrt y?
-12*r**3 - 324*r**2
Find the second derivative of -58*n**5 + 37*n - 2.
-1160*n**3
Find the second derivative of 2*h*l**2 - 2*h*l*v**3 + 63*h*l - 2*l**2*v**3 - 2*l**2*v + 4*l**2 + 14*v**3 wrt v.
-12*h*l*v - 12*l**2*v + 84*v
What is the third derivative of 54*s**4 + s**3*w**3 + 3*s**2*w**3 + 42*s wrt s?
1296*s + 6*w**3
Differentiate 4*s*u**3*y + 850*s*y**2 - u**3 - 51*u*y**2 - 2*y**2 with respect to s.
4*u**3*y + 850*y**2
Find the first derivative of -8*c**3*l - 3*c**3*p + 7*c*l - 134*c*p**2 + 4*l*p**2 wrt l.
-8*c**3 + 7*c + 4*p**2
Find the third derivative of 6743*w**4 - 18422*w**2.
161832*w
Find the first derivative of -264*g**2 - 5*g*n**3 + 1280*n**3 wrt g.
-528*g - 5*n**3
What is the second derivative of 16296*w**5 - 3782*w wrt w?
325920*w**3
What is the third derivative of 54*k**3*s**3 + 3*k**2*s**3 - 2*k**2*s**2 wrt k?
324*s**3
What is the first derivative of 16*i**3 + 6*i - 2069?
48*i**2 + 6
What is the third derivative of a**2*j**3 - 4*a**2*j**2 - 15*a**2 - 157*a*j**4 wrt j?
6*a**2 - 3768*a*j
What is the third derivative of 20*k*t**3 - 10*k*t**2 + 2*k*t - t**4 - 3*t**2 wrt t?
120*k - 24*t
What is the second derivative of -15222*i**3 + 6063*i wrt i?
-91332*i
Find the third derivative of -13*k*p*t**3 - 30*k*p*t**2 - 17*k*p*t - k*t**4 + 2*p*t**3 wrt t.
-78*k*p - 24*k*t + 12*p
Find the second derivative of -4*d**5 + 28*d**3 - 139*d.
-80*d**3 + 168*d
What is the derivative of -3*c**2*k**2 - 30*c**2 - 2*c*k + 4*k**2 + 764*k wrt c?
-6*c*k**2 - 60*c - 2*k
Find the second derivative of -943*k*s**2 - 266*k*s + 2*k wrt s.
-1886*k
What is the second derivative of 3180*g**2 + 1859*g wrt g?
6360
What is the first derivative of -3*a**2*d - 8*a**2 - 2*a*d*u - 13*a*u + 228*d*u wrt d?
-3*a**2 - 2*a*u + 228*u
Find the third derivative of -3*f**6*h + 31*f**6 - 4*f**3 - 8*f**2 - f - 225*h wrt f.
-360*f**3*h + 3720*f**3 - 24
Find the second derivative of 133*g**5 - 3*g + 17 wrt g.
2660*g**3
Differentiate -183*n**2 - 5*n + 1714 wrt n.
-366*n - 5
Differentiate 90*o**2 + 119.
180*o
Find the third derivative of 6*p**4 + 44*p**3 + 1830*p**2.
144*p + 264
What is the second derivative of -5072*t**2 - 305*t + 9 wrt t?
-10144
Find the third derivative of -75*g*n**6 + 15*g*n + n**2 - 2 wrt n.
-9000*g*n**3
Find the second derivative of 12*f**3*h**2 - 366*f**3 + 101*f*h**2 + 2*f - 9*h**2 wrt f.
72*f*h**2 - 2196*f
What is the derivative of 45*c**2*p**2 + 249*c**2 + 2*p wrt p?
90*c**2*p + 2
What is the third derivative of -239*h*k*n**3 - h*k*n**2 - h*k*n - h*n**3 - 3*h*n**2 + 2*k*n**3 - k*n + 8*n**2 wrt n?
-1434*h*k - 6*h + 12*k
Differentiate 40*d**2*p**3*u + 134*d**2*p**2*w - d*p**3*u + 8*d*p*u*w + p**3*w - 12*u wrt w.
134*d**2*p**2 + 8*d*p*u + p**3
What is the first derivative of -6*a**2*q**3 - 27*a**2*q**2 + 29*a**2 + a wrt q?
-18*a**2*q**2 - 54*a**2*q
Differentiate -2*b**4 + 15*b**3*y + 6*b*y + 326*y with respect to b.
-8*b**3 + 45*b**2*y + 6*y
What is the third derivative of -31*n**6*r**3 + 26*n**3*r**3 - 2*n**2*r - 2*n**2 - 54*n*r**3 wrt n?
-3720*n**3*r**3 + 156*r**3
What is the third derivative of -425*w**3*y - 6*w**2 + w*y wrt w?
-2550*y
What is the third derivative of 278*o**3 + 6*o**2 - 8*o wrt o?
1668
What is the first derivative of 2*c**3*r + c*r**2 + c + 12*r**2 - 8*r wrt c?
6*c**2*r + r**2 + 1
Find the second derivative of 759*l**2*y - 8*l - 47*y wrt l.
1518*y
Find the third derivative of -327*y**6 - 46*y**2 + 4 wrt y.
-39240*y**3
What is the third derivative of -117*r**6 - 4*r**2 - 18*r wrt r?
-14040*r**3
Differentiate -214*b**3 - 76 wrt b.
-642*b**2
What is the third derivative of m**3*w**3 + 11*m**3*w - 2546*w**3 - 184*w**2 wrt w?
6*m**3 - 15276
What is the third derivative of 22*s**4 + 3*s**3 - 185*s**2 - 1 wrt s?
528*s + 18
Find the second derivative of y**5 - 123*y**3 + 15*y + 2 wrt y.
20*y**3 - 738*y
What is the third derivative of -2*a**4 + 217*a**3 - 140*a**2 wrt a?
-48*a + 1302
Find the first derivative of 348*c**2*j**3 - c**2*j + c**2 + 518*c wrt j.
1044*c**2*j**2 - c**2
What is the first derivative of -1202*r**3 - 1645 wrt r?
-3606*r**2
What is the first derivative of 9992*m**2 - 14545?
19984*m
Find the second derivative of -643*f**2*i**3 + 2*f**2*i**2 - f**2*i + 2*f*i**3 + 2*f*i**2 - 140*f - 1 wrt f.
-1286*i**3 + 4*i**2 - 2*i
Find the first derivative of 10*k**3*x**2 + 38*k*x**2 + 91*x**2 wrt k.
30*k**2*x**2 + 38*x**2
Differentiate -d*h*o*x**2 + 736*d*h*o*x + d*h*x + 6*h*x + 68*o*x**2 - 6*x**2 wrt d.
-h*o*x**2 + 736*h*o*x + h*x
Differentiate -170*w*y**3 + 7*w + 8 with respect to y.
-510*w*y**2
Find the third derivative of 2*m**3*y + 2625*m**3 - 563*m**2*y - 4*m**2 wrt m.
12*y + 15750
Find the second derivative of -2187*l**2 + 694*l.
-4374
What is the second derivative of -h**2*r**2 - 7*h**2*r - h**2 - h*i*r**2 - 111*h*i - 3426*i*r**2 wrt r?
-2*h**2 - 2*h*i - 6852*i
What is the derivative of -2*j**3*l**3*v*z + 573*j**3 + 4*j*l**3 - 2*j*v + 1942*l**3*v*z wrt z?
-2*j**3*l**3*v + 1942*l**3*v
What is the third derivative of -41*h**5 + 5*h**3 + 562*h**2?
-2460*h**2 + 30
What is the derivative of -4207*q**2*s - 9*q**2 - 11*q + 1 wrt s?
-4207*q**2
What is the third derivative of -2*c*g**3*y**4 + 28*c*g**2*y**2 + c - 172*g**3*y**4 + g**3*y**2 wrt y?
-48*c*g**3*y - 4128*g**3*y
What is the derivative of -4*c**2*d**3 - c**2 - 66*c + 4*d**4 wrt d?
-12*c**2*d**2 + 16*d**3
Find the second derivative of 5208*i**2 + 10*i - 656 wrt i.
10416
What is the derivative of -5*m**3*q**2 - 144*m**3*q - 1209*q**2 wrt m?
-15*m**2*q**2 - 432*m**2*q
Differentiate 6*r**2*z**4 + 49*r**2 - 5*r - 56*z**4 with respect to z.
24*r**2*z**3 - 224*z**3
Differentiate 127*d**4 - 103 wrt d.
508*d**3
What is the derivative of 286*n**3 + 651 wrt n?
858*n**2
What is the first derivative of -8510*x + 5734?
-8510
What is the derivative of 2*u**2*v**2
|
{
"pile_set_name": "DM Mathematics"
}
|
a be q(-1). Let n be -6*(-2 - a/(-9)). Let m be n/22 + (-6)/33. Solve m + 16 = -4*d for d.
-5
Let b be (-25)/15*(-7)/(70/6). Suppose 25 = 4*x + 5*z, -1 = -4*x + 2*z + 17. Solve 21 = -x*j + b for j.
-4
Suppose -o + 51 = 2*o. Suppose -3*n = 43 - 55. Suppose 0*x - n*x + 20 = 0, 5*l = x + 5. Solve o = -l*p + 7 for p.
-5
Suppose -9*d + 60 = d. Let n be (44/7 - 4)/(d/21). Solve 5*p - n + 23 = 0 for p.
-3
Let n = 17424 - 17132. Solve n*g + 50 = 317*g for g.
2
Let b(a) = -a + 21. Suppose -4*z + 271 = 211. Let s be b(z). Solve -2*g - g - s = 0 for g.
-2
Let o be (-1)/(11/2) + (-6)/(-33). Suppose a + 2*a - 7 = 5*t, o = a + 5*t - 9. Suppose 5*u = -w - 1, a*w - 3*u + 3 - 22 = 0. Solve -h - 25 = w*h for h.
-5
Suppose 5*s - 4*f - 32 = 0, 4*s + 2*f - 7 = -f. Let v be (-1)/1 + 2/(-2) + 7. Let o(i) = 34*i - 167. Let w be o(v). Solve s*z = 15 - w for z.
3
Suppose -436*f + 460*f - 240 = 0. Solve -4*i = -9*i - f for i.
-2
Suppose -59*w - 101*w + 4160 = 0. Solve 8*y + w = -5*y for y.
-2
Let b = -28 - -32. Suppose -4 = -b*o + 12. Suppose 39 = 5*f + o. Solve f = 3*u - 8 for u.
5
Let r(w) = -6*w + 24. Let b be 5/(35/(-21)) + (1 - -6). Let s be r(b). Solve s*c = 6*c - 3*c for c.
0
Let q(r) = -2*r**3 + 6*r**2 + r - 3. Let v be q(3). Suppose 18*p - 11*p - 14 = v. Suppose -p - 5 = -d. Solve 5 = 3*t - d for t.
4
Let t be -1 + (-6 + 19/3)/(1/3). Solve 24*g + t*g - 96 = 0 for g.
4
Let o = 70 + -118. Let h = o - -144. Let w = -93 + h. Solve -2*r + w = 1 for r.
1
Let a = -134 - -130. Let s be -2*((-35)/(-10) + a). Solve 2*z - 3*z - s = 0 for z.
-1
Let p(u) = 7*u**2 - 120*u + 446. Let f be p(4). Solve -68*y + f*y = 10 for y.
1
Let q(l) = -l**3 - 2*l**2 + l + 2. Let v be q(-2). Let b = v + 15. Let d = b - 12. Solve 0 = -5*c - d + 23 for c.
4
Let c(v) = 3*v**3 + 22*v**2 + v - 23. Let b be c(-7). Solve -b*a - 46 = -122 for a.
4
Suppose -2*c = -5*s - 15, c + 4*c - 3*s - 9 = 0. Suppose -d = -10*d - c*d. Solve -6*o + 3 + 3 = d for o.
1
Let r be 24/6 + 33*4/6. Suppose 5*q - r = 2*n, -2*n - 12 = 2*n. Solve -7*y + q = -3*y for y.
1
Let s be -2 + 23 - (-1 + -2). Let w be ((10 - 0) + 1)*-2. Let c = w + s. Solve 3*g = c + 10 for g.
4
Suppose 3*p + 155 - 146 = 0. Let x be (p/(-2))/(6/68). Solve 4*o - x = -5 for o.
3
Let z(h) = 25*h - 1426. Let x be z(58). Solve 45*q - 84 = x*q for q.
4
Suppose -2425 = -32*u - 69*u + 3938. Solve u*s = 19*s + 264 for s.
6
Suppose 4*j = 4*x + 4, -2*x - 15*j + 25 = -41. Solve 2*g - 2*g + x*g = 0 for g.
0
Suppose 5*l - 20 = -4*n, -3*l - l - 2*n = -16. Suppose 4*j = -v + 128, 112 = l*j - 2*v - v. Suppose -29 = -5*a + j. Solve -a = 6*t - 2*t for t.
-3
Suppose 4*v - 5*r = 169, 2*r - 32 + 42 = 0. Solve v*s + 25 = -11 for s.
-1
Let u(n) = 2*n**3 + n**2 + 4*n + 7. Let h be u(-2). Let t be (-9 - h)*(-1)/(-2). Solve t*s + 2 = 8 for s.
3
Let h(d) = -d**3 + 21*d**2 + 22*d + 22. Suppose 4*s = -5*m + 108, 4*s + 4*m - 39 = 65. Let a be h(s). Let p = 22 - a. Solve 0*o - o = p for o.
0
Let r be ((80/6)/(-8))/((-110)/132). Solve -91*j - r = -89*j for j.
-1
Suppose -44*i - 62*i + 3034 = -32*i. Solve -48 = -i*b + 17*b for b.
2
Suppose 0 = 2*i - 3110 + 3110. Solve i*v + 6*v = 2*v for v.
0
Suppose -2*p + 8 = 2*p - 4*r, 0 = 4*r - 8. Suppose -7*h + 68 = 27*h. Let j be (h/7)/(71/994). Solve p*w - j = -0*w for w.
1
Let b = -221 + 223. Solve b*q = 4*q - 2 for q.
1
Suppose 85*n = 2*f + 81*n - 228, 0 = -5*f - n + 603. Solve -124*w + f = -94*w for w.
4
Let c = -115 + 149. Suppose -5*q = 3*h + c - 88, -q - h + 12 = 0. Solve 4*y + q - 1 = 0 for y.
-2
Let x be (-1)/(-8) - 2970/(-48). Let i = -57 + x. Let v(d) = -d + 10. Let a be v(i). Solve 0 = -a*c + 4*c for c.
0
Let l be -10*((-9)/6 + 1). Let h(y) = y**3 - 4*y**2 - 44*y + 1. Let z be h(9). Solve 5*i - l - z = 0 for i.
3
Suppose -t = 2*z - 6, -3*t + 3*z + 4 = 13. Let q(c) = -c**2 - 5*c + 9. Let n be q(-5). Solve t = -4*m + 7*m + n for m.
-3
Suppose 393*w = 266*w + 254. Suppose b - 5*a = 10, -2*b - 2*a + 42 = 10. Let l be ((-196)/(-12))/(-7)*-3. Solve -l*v + b = -w*v for v.
3
Suppose 9331 = -3*c + 34*c. Let w = 304 - c. Solve -5*o + w*o - 4 = 0 for o.
-2
Let g be (-33)/((-990)/600)*(-2 + 4). Solve -7743*m = -7735*m - g for m.
5
Let q = 4 + -2. Let u = 98 - 146. Let s be (-9)/(-1*4*u/(-256)). Solve 5*p + s = q*p for p.
-4
Suppose 0 = -207*q + 232*q - 1000. Solve 0 = q*c - 72 - 8 for c.
2
Suppose 7*k - 56 = 4*k + 4*u, -9*k + 4*u = -176. Solve -k*l + 155 = -51*l for l.
-5
Suppose 524 = 4*z - 4*s, -212 - 185 = -3*z + 5*s. Solve -z = -19*w - 53 for w.
4
Let t(d) = 8*d - 3. Let u be t(7). Let x be (-16)/(-8) + -2*1 - 51. Let s = x + u. Solve -s*n = -7*n - 15 for n.
-3
Let q be 1701/49 - 72/(-252). Solve q*u - 168 = 14*u for u.
8
Let w(o) = -10*o - 97. Let d be w(-10). Suppose 7*i - 5*i = -d*i. Solve -5*r + r - 16 = i for r.
-4
Let u(c) = c**3 + 42*c**2 - 73*c - 1284. Let t be u(-43). Solve -25*q = t*q + 93 for q.
-3
Let n(z) = -6*z**2 - 283*z - 35. Let l be n(-47). Solve 0*k = -6*k - l for k.
-2
Let h be 940/26 + (36/(-117))/2. Let k = -65 + 70. Solve -56 = -k*c - h for c.
4
Let y = -1824 + 1824. Solve y = 962*a - 965*a + 9 for a.
3
Let w be 7/(28/(-36)) - -2. Let p(s) = -s**2 - 6*s + 15. Let h be p(w). Suppose -h = -y - y. Solve i - 3*i = -y for i.
2
Let v(j) = 2*j**2 + 29*j + 92. Let q be v(-12). Suppose s = -19 + q. Solve -2*f + 15 = s for f.
1
Let i(q) be the third derivative of q**6/120 + q**5/3 + 17*q**4/24 - 17*q**3/3 + 5*q**2 + 15. Let v be i(-19). Solve 26 + v = -6*n for n.
-5
Let l = -246 + 248. Suppose -76 + 28 = -4*u. Suppose -8*y = -6*y - u. Solve l*a - y = 5*a for a.
-2
Let s = -2673 + 2683. Suppose -76 - 36 = -4*v. Solve 23*h - v*h = s for h.
-2
Let v(s) = -3*s**2 - 21*s - 13. Let t be v(-6). Suppose t*w + 22 = 3*u + w, -4*u + 3*w = -27. Solve u + 4 = -2*j for j.
-5
Suppose -2*c = 2*u, 3*u + 2 = 5*c - 14. Let n be (-1)/(c + 0 + -3)*42. Solve n*v - 37*v - 15 = 0 for v.
3
Let q(o) = 9*o + 68. Suppose 0 = -2*s + 19 - 33. Let n be q(s). Solve -n*j + 0*j = -10 for j.
2
Suppose t - 1041 - 258 = 2*r, -3242 = 5*r + 3*t. Let f be 3/(-4) + r/(-236). Solve -18 = -f*m - 10 for m.
4
Let u be 4 + (7024/176 - 1/(-11)). Suppose 4*f - u = -18*f. Solve f*z + 33 = 37 for z.
2
Suppose -16*n = -7*n - 2160. Suppose -158*d + 161*d = -n. Let r = d + 81. Solve r = -h + 6 for h.
5
Let l be 329/21 + (100/150 - (-1)/(-3)). Solve -758*k = -754*k + l for k.
-4
Let x = 33 + -35. Let k be ((-66)/6)/(x/(-2)). Let y = k + 14. Solve y = -2*z + 9 for z.
3
Suppose -l - 5 = 0, 0*a + 10 = -a - 3*l. Suppose -a*x - 45 = -30. Let b be 5 - x/((-15)/10). Solve -b*q = 2*q + 25 for q.
-5
Let i be (-2)/(3 + -1)*4. Let x be (-1)/(i/(-24)) + 6. Solve x = 4*t + 23 - 15 for t.
-2
Let c(x) = -x**3 - 101*x**2 + 315*x + 322. Let q be c(-104). Let h be -2 - (-3)/3*5. Solve q + 2 = h*z for z.
4
Let m be (2 + -122)*(-10)/20. Solve -8*h - 12*h = -m for h.
3
Let b(q) = q**3 + 31*q**2 + 28*q - 58. Let n be -15*(-1)/40 - (-729)/(-24). Let a be b(n). Solve a*r = 5 - 1 for r.
2
Suppose 220*m - 232*m = -108. Solve -5 = m*i + 40 for i.
-5
Let p(o) be the third derivative of o**6/60 - 17*o**5/60 - 5*o**4/12 + 3*o**3/2 - 78*o**2. Let n be p(9). Solve n = 4*w + 4 + 8 for w.
-3
Suppose -7*h = 1913 - 2067. Solve h*r + 46 = -42 for r.
-4
Let a be (-2)/(-2) + 11 + -11 - -19. Let y be 195/a*(80/(-6))/(-2). Suppose -19*j - 8 = -y. Solve -r = j*r for r.
0
Let o = 13 - 9. Suppose -3*t = -5*t + o. Suppose 0 = -2*k + 2*l + 6, 2*l = -k + t*k - 3. Solve -4*i + 13 + k = 0 for i.
4
Let q = -5348 + 5389. Solve -q*l = 66 + 16 for l.
-2
Let u be ((-145628)/(-1848) - (-12)/33) + 5/6. Solve -u = -10*y - 100 for y.
-2
Let a = 3 + 0. Suppose 6 - 3 = s, 4*t - 15 = a*s. Solve -c = -t*c for c.
0
Let a = -2 + 4. Suppose 0 = 3*c + 9, k - 6*k + 27 = -4*c. Suppose -4*q = -2*u + 68 - 24, k = -u - 3*q. Solve a*x = -x - u for x.
-4
Let a(j) = 5*j**2 + 202*j - 409. Let o be a(2). Solve 20*y - o*y - 10 = 0 for y.
2
Let r = 8385 - 8369. Solve x - r = -11 for x.
5
Let i = 36804 + -36804. Suppose -2*y - 3*y = -20. Solve i = 3*d - 2*d - y for d.
4
Let c(y) = -2*y - 3. Let j be c(-5). Suppose -10*s - 18 = -11*s. Let w = s + j. Solve 6*l = l - w for l.
-5
Let i be 6/(-8)*2 + (-10)/(700/(-2905)). Solve -6*g = i - 16 for g.
-4
Suppose 23*t - 2257 = -233. Suppose 0 = -o + 12*o - t. Solve 0 = -2*d + o*d - 24 for d.
4
Suppose -3*w + 36
|
{
"pile_set_name": "DM Mathematics"
}
|
eatest common divisor of 58 and u?
29
Let m(n) = n**2 + 4*n - 8. Let u be m(6). Suppose 4*r - v = 859, -5*r + v + 1127 = u. What is the highest common divisor of 24 and r?
24
Suppose 3*u = -2*u - 20. Let l be (-114)/u - 1/2. Calculate the greatest common divisor of l and 14.
14
Let c(f) = 5*f**2 - 31*f + 39. Let o be c(6). Calculate the greatest common divisor of o and 627.
33
Suppose 2*w + 7844 = 6*w. What is the greatest common factor of 53 and w?
53
Suppose -n - 2*a = -88, -3*a + 333 = 3*n + 60. Let c = n + -54. Let p be 8 - (-9)/(27/6). What is the highest common factor of p and c?
10
Let r(p) = -40*p - 261. Let s be r(-7). What is the highest common divisor of 247 and s?
19
Suppose 0 = 39*j + 178 - 490. What is the highest common divisor of 348 and j?
4
Let g = 11 - 7. Suppose 146 = 2*w + 4*y, -w - g*w - 5*y = -340. What is the greatest common factor of 42 and w?
21
Let v(f) be the first derivative of 1/3*f**3 - 12 - 5/2*f**2 + 3*f. Let x be v(7). What is the highest common factor of 51 and x?
17
Suppose 199 + 49 = r. Calculate the greatest common divisor of 31 and r.
31
Suppose 5*m - 32*m + 1728 = 0. What is the greatest common factor of 64 and m?
64
Let d(r) = r**2 - 2*r - 15. Let k be d(5). Let a(f) = -2*f**2 - f + 40. Let v be a(k). Calculate the highest common factor of v and 60.
20
Suppose -23 = -0*c - 4*c + t, 4*t + 2 = -2*c. Let q = 8 + -6. Let s be (-1 - 0)*(q + -7). What is the greatest common factor of c and s?
5
Let w be (0 + -7)*30/(-7). Let d be (4 - -2) + 3 + 36. Calculate the highest common factor of w and d.
15
Let p(a) = 2*a**3 - 6*a**2 + 5*a + 4. Let v = -27 - -31. Let d be p(v). What is the highest common factor of d and 7?
7
Let j(u) = u - 3. Let a be j(9). Let p = 13 + -7. Calculate the greatest common factor of a and p.
6
Let c = -272 - -310. Calculate the highest common divisor of 1026 and c.
38
Suppose 163 + 217 = 4*w. Let j(h) = 3*h**2 + 16*h + 12. Let g be j(-10). Suppose g = 5*y - y. What is the greatest common divisor of y and w?
19
Let n(k) = 2*k - 7. Let v be n(6). Let o be (v/10)/((-1)/(-20)). Calculate the highest common divisor of o and 20.
10
Let o(i) = 2*i**3 + 20*i**2 + 12*i + 6. Let s be o(-9). What is the highest common divisor of 18 and s?
6
Let b = -12 - -18. Let t be (-6)/(-36)*6 - 5 - -28. What is the greatest common divisor of b and t?
6
Suppose -10 = -5*a, -2*i = -i - 4*a + 6. Suppose 3*x + 7 = i*t + 2*t, -5*x - 7 = -2*t. Let v be (1/x + -1)*-6. What is the greatest common factor of v and 132?
12
Suppose 2*d - 31 = 5*p, 0 = d - 2*p - 8 - 5. What is the greatest common factor of 6 and d?
3
Suppose 20*s + 5452 = 4*b + 24*s, 5*b + 4*s - 6816 = 0. What is the greatest common divisor of 132 and b?
44
Let r be 1580/6 + 2/3. Suppose -5*y - r = -y. Let b = y + 286. Calculate the greatest common factor of 20 and b.
20
Let s(c) = -c**2 - 12*c + 13. Let g be s(-12). Let y = 2 + g. Suppose 2*t + 3*n = y, 2*t = -n - 8 + 25. What is the highest common divisor of 18 and t?
9
Suppose 6*r + 780 = 10*r. Suppose 2*j + 2*j = -5*h + 156, 5*j - 3*h = r. Calculate the greatest common factor of j and 26.
13
Suppose 10*t = -t + 154. Calculate the greatest common divisor of t and 140.
14
Let g = 29 - 27. Suppose 5*q + 915 = 4*c, 8*c = 6*c + g*q + 456. What is the highest common factor of 90 and c?
45
Suppose -3*r = -4*y + 1634, 0 = 4*y + 2*r - 0*r - 1644. What is the highest common divisor of y and 10?
10
Let l(j) = -j**3 - 5*j**2 - 4*j + 581. Let a be l(0). Calculate the highest common divisor of a and 166.
83
Let a(s) = -s**3 + 15*s**2 + 2*s - 15. Let o(k) = k**3 - 10*k**2 + 13*k - 21. Let u be o(9). Let h be a(u). What is the highest common factor of h and 135?
15
Let x(m) = 22*m - 143. Let y be x(13). What is the highest common divisor of 299 and y?
13
Let t(g) = -7*g + 303. Let d be t(43). What is the greatest common divisor of 94 and d?
2
Let l be 48 - (0 + (2 - -1)). Let t = 4 - -14. Calculate the greatest common divisor of t and l.
9
Let b(s) = s**3 - 8*s**2 + 8*s - 7. Let n be b(7). Suppose -3*i + 6*i - 207 = n. Calculate the highest common factor of 23 and i.
23
Suppose -11*z + 10*z + 143 = 0. Let d be ((-9 - 2) + -2)*-1. Calculate the highest common divisor of d and z.
13
Let u(l) = -l**3 - 8*l**2 + 7*l - 8. Let x be u(-9). Let r be (-6)/(-4) + x/4. Let d be (r/4)/(2/30). Calculate the highest common factor of d and 60.
15
Suppose 86 = 3*a - f, a = 2*f + 25 + 12. Calculate the greatest common factor of a and 729.
27
Suppose -10*w = 2*w - 2280. Calculate the highest common divisor of 342 and w.
38
Let r = 573 - 551. What is the greatest common factor of r and 121?
11
Suppose 6*j + 50 = 4*f + j, -3*f + 34 = -2*j. Let r = 25 - 16. Suppose -3*n - 3*i + 189 = -r, -n + 5*i = -90. Calculate the highest common divisor of f and n.
10
Let a(v) = 4*v**2 - 6*v. Let t be a(-5). Let y = 182 - t. Calculate the highest common divisor of y and 13.
13
Suppose j = 21 - 1. Let k(i) = i**2 - 3*i + 4. Let s be k(3). Suppose s*n = q + 79, 43 = 2*n + 3*q - 0*q. What is the greatest common divisor of j and n?
20
Let u(g) = -g**3 + 28*g**2 - 25*g - 152. Let b be u(26). Calculate the highest common divisor of 22 and b.
22
Suppose 29 = 23*p + 6. Calculate the highest common divisor of 8 and p.
1
Let c(u) be the third derivative of -u**4/6 - 25*u**3/6 + u**2. Let o = -1068 + 1058. Let k be c(o). Calculate the highest common factor of k and 6.
3
Let m(k) = k**2 + 10*k + 4. Let o be m(-10). Let h be 16 + -4*(-3)/o. Calculate the greatest common factor of h and 95.
19
Let o(w) = -w**2 + 5*w + 1. Let g be o(5). Suppose -16 + 12 = -u. Let s be (u + (-2 - -1))*(3 - 0). What is the greatest common factor of s and g?
1
Suppose 4*k - 189 = 11. Suppose 5*i = -m - 16, -28 = 2*i - 6*m + m. Let j(o) = -o**2 - 9*o. Let h be j(i). What is the greatest common factor of k and h?
10
Let d(b) = -3*b + 11. Let g(t) = -t + 6. Let f(j) = -2*d(j) + 5*g(j). Let m be 3/(-6)*(-12 - 0). Let x be f(m). What is the greatest common factor of 98 and x?
14
Suppose -43 = 4*w + 125. Let h = 29 - w. Let b = h - -49. What is the highest common divisor of 30 and b?
30
Suppose 5*x + 2*c - 820 = 0, -4*x + 338 + 320 = 2*c. Let z be (-2)/(-5)*3*20. Let i = -6 + z. Calculate the highest common factor of x and i.
18
Let m = -10 - -24. Suppose -3*r = -i + 15, 8*i - 3*i - 21 = -3*r. Let l be (-21)/(-6)*(i + -4). Calculate the greatest common divisor of l and m.
7
Let k(w) = -w**2 - 12*w - 4. Let d be k(-4). What is the greatest common factor of 224 and d?
28
Suppose 2*t - 132 = -96. Let r(o) = 49*o**2 + 2. Let i be r(2). What is the greatest common factor of i and t?
18
Let q be (-56)/(-26) + (-26)/169. Suppose -s + g = -3*s + 4, q = s - 5*g. Calculate the greatest common factor of 10 and s.
2
Suppose -l = -3*l + 80. Let x be 60 - (2 + -2)/(-7). Calculate the highest common factor of l and x.
20
Suppose 1025*b - 490 = 1018*b. What is the greatest common divisor of 14 and b?
14
Let b = 30 + -24. Let c(i) = i**2 - 5*i + 1. Let z be c(7). Calculate the highest common factor of z and b.
3
Let t(o) = o**2 + 4*o + 5. Let c be t(-4). Suppose -3*w + c*h = -131 - 184, -3*h - 9 = 0. What is the greatest common factor of 25 and w?
25
Let l(p) = -9*p - 2*p**2 + 4*p + 2*p + 70 + 4*p. Let f be l(0). Calculate the highest common divisor of f and 14.
14
Let k = -110 + 155. Let v = k + -41. What is the greatest common factor of 36 and v?
4
Let v = 68 - -4. Let k(b) = -b**2 + 10*b - 2. Let a be k(9). Let z = 15 - a. Calculate the greatest common factor of z and v.
8
Let t(l) = -l + 128. Let q be t(0). Let a(r) = -13*r + 120. Let d be a(8). What is the highest common factor of d and q?
16
Suppose 0 = -3*k + 3*c + 219, c + 155 + 143 = 4*k. Let p(o) = o**2 + 12*o + 17. Let u be p(-13). What is the highest common divisor of u and k?
15
Let i = 134 + -92. What is the highest common factor of 168 and i?
42
Suppose -4*f + 111 + 18 = 5*q, 0 = 3*f + q - 105. What is the greatest common factor of 12 and f?
12
Let y(d) = 2*d - 10. Let m be y(7). Let o be (-2)/(-1)*38/m. Let k = 310 - 291. Calculate the highest common factor of k and o.
19
Let n = 101 - 68. Let m = -75 - -54. Let i be 3/(-3 + 6) - m. What is the greatest common factor of n and i?
11
Suppose 0 = -24*o - 6*o + 6960. Calculate the greatest co
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate f*w(a) + g*v(a).
-a**2
Let q(k) = 2 + 1 - 1 - 2*k + k**2. Let l = 9 - 5. Let m(x) = x**2 - 2*x + 3. Suppose 0 = 4*a - a + 15. Determine a*q(g) + l*m(g).
-g**2 + 2*g + 2
Let t(r) = r - 8. Let l(p) = -1. What is 5*l(c) - t(c)?
-c + 3
Suppose 0 = 3*s - k + 3, -s - k = -4 + 1. Let r = 0 + s. Let f be r - ((-2 - -1) + 2). Let h(n) = -n - 1. Let t(l) = -2*l**2 - 5*l - 3. What is f*t(q) + 5*h(q)?
2*q**2 - 2
Let o(d) = 17*d - 8. Let s(z) = -8*z + 4. Give 3*o(i) + 7*s(i).
-5*i + 4
Let v = -2 - -8. Let k(y) = -2*y**3 - 13*y**2 + 2*y - 15. Let r(g) = -16*g**2 - g**3 + 4*g + 10*g**2 - 7 - 3*g. What is v*k(j) - 13*r(j)?
j**3 - j + 1
Let l(c) = 7*c**3 - 3*c**2 - 5. Let t(u) = 53 + 2*u**3 + 5*u**2 - 5*u**3 - 4*u**2 - 51. Suppose 0*w + 5 = -w. What is w*t(f) - 2*l(f)?
f**3 + f**2
Let r(i) = 13*i**2 + 7*i - 9. Let o(d) = -6*d**2 - 3*d + 4. Suppose -4*w + w = 0. Suppose -4*g = -w*g - 36. Give g*o(l) + 4*r(l).
-2*l**2 + l
Let l(h) = -4*h**2 + 11*h - 9. Let o(b) = -2*b**2 + 5*b - 4. Suppose 4*k = 69 + 175. Let q = 35 - k. Let f = q - -17. Determine f*o(g) + 4*l(g).
2*g**2 - g
Let y(g) = -4*g + 6. Let w(c) = -c**2 - 14*c - 3. Let z be w(-13). Let b(h) = h - 1. Determine z*b(f) + 2*y(f).
2*f + 2
Let h(o) = -11*o - 9. Let k be (20/(-6))/5*-6. Let t = k + -8. Let s(v) = 2*v - 3*v - 5 - 5*v. What is t*h(u) + 7*s(u)?
2*u + 1
Let y(c) = 2*c**2 + 3*c + 2. Let q = -90 - -86. Let d(m) = 5*m - 5*m - 4*m - 3*m**2 - 3. What is q*d(i) - 5*y(i)?
2*i**2 + i + 2
Suppose -30 = b + 4*b. Let c(g) = g**3 + 2*g**2 + 3. Let t be (4 - 0) + -4 - 26. Let d(s) = -4*s**3 - 9*s**2 - 13. What is b*d(w) + t*c(w)?
-2*w**3 + 2*w**2
Let f(l) = -l**3 - 2*l**2 + 3*l + 4. Let k(p) = -p**3 - 4*p**2 + 8*p + 4. Let g(j) = -j + 1. Let d(s) = 3*g(s) + k(s). Give -3*d(m) + 5*f(m).
-2*m**3 + 2*m**2 - 1
Let c(b) = 5*b**3 + 3*b**2 + 3*b - 1. Let j(i) = i**3 + i**2 + i. Suppose -q - 3*o = -4*o - 2, 5*o = -25. Determine q*j(g) + c(g).
2*g**3 - 1
Suppose -70 = -2*g - 8*g. Let j(f) = -7*f**3 - 4*f**2 + 4. Let i(a) = -13*a**3 - 7*a**2 + 7. What is g*j(t) - 4*i(t)?
3*t**3
Let b(i) = -8*i + 8. Let n be 5/(1*(2 + -1)). Let f(a) = -3*a + n + 1 - 3. Calculate -4*b(p) + 11*f(p).
-p + 1
Let i(w) = -w - 4. Let s(a) = a - 1. Calculate -i(l) + 3*s(l).
4*l + 1
Suppose -5*h = -4*h + 4*i + 14, -2*h - i = 0. Let a(b) = 3*b**2 - 2*b. Let k(t) = -4*t**2 + 3*t. Let m = 7 + -4. Calculate h*k(n) + m*a(n).
n**2
Let k(p) = 3*p**3 - 2*p**2 + 4*p - 5. Let r(h) = 2*h**3 - 2*h**2 + 3*h - 4. Let a be 2/(-4) - (-27)/(-6). What is a*r(f) + 4*k(f)?
2*f**3 + 2*f**2 + f
Let s(y) = -3*y**2 - 3. Let a = -74 + 78. Let r(g) = 2*g**2 + 4. What is a*s(w) + 3*r(w)?
-6*w**2
Let s be (4/10)/((-1)/10). Let t(j) = 11*j**2 + 7*j - 11. Let h(f) = -f - 1. Let y be h(-10). Let v(l) = 5*l**2 + 3*l - 5. Calculate s*t(z) + y*v(z).
z**2 - z - 1
Let v(b) = 9. Let l(k) = k + 26. What is 3*l(o) - 8*v(o)?
3*o + 6
Let b(q) = -17*q + 15. Let m(w) = -8*w + 7. Determine -4*b(s) + 9*m(s).
-4*s + 3
Let l(w) = -18*w**2 + 2*w - 4. Let r(v) = -18*v**2 + v - 3. Calculate -3*l(y) + 4*r(y).
-18*y**2 - 2*y
Let o(y) = -y**2 + 3*y + 8. Let k(s) = s**2 - 2*s - 5. Let g = 0 + -8. What is g*k(j) - 5*o(j)?
-3*j**2 + j
Let a(t) = t**3 + 9*t**2 - 9*t - 9. Let l(w) = w**3 + w**2 - w - 1. Calculate -2*a(d) + 18*l(d).
16*d**3
Let i(z) = 21*z**3 + 4*z**2 - 4*z. Let b(x) = -986*x**3 - 187*x**2 + 187*x. Calculate 4*b(u) + 187*i(u).
-17*u**3
Let r(i) = -30*i - 10. Let f(n) = n + 1. Calculate 8*f(x) + r(x).
-22*x - 2
Let s(q) = -q**3 - 14*q**2 - 14*q - 12. Let z be s(-13). Let u(c) = -2*c**3 + 5*c. Let x(d) = -d. What is z*u(j) + 5*x(j)?
-2*j**3
Let y(c) = -c - 2. Suppose -8 = 6*m - 2*m. Let t(v) = 0 - 3*v - 3 - 1. Calculate m*t(h) + 5*y(h).
h - 2
Suppose -2*j = -3*x - 7*j + 21, 3*j = -5*x + 19. Let r(d) = 4*d**x + d**2 + 4*d - d**2 - 6*d**2 - d**3 + 3. Let k(q) = q**2 - q - 1. What is 3*k(y) + r(y)?
-y**3 + y**2 + y
Let m(z) = z**2 + 3*z. Let b = 17 + -14. Let s(v) = 4*v**2 + 14*v. What is b*s(w) - 14*m(w)?
-2*w**2
Let c(w) = -10*w**2 + 10*w. Suppose -4*x = n - 25, -2*n - x = -4 - 46. Suppose 6*h + n = h. Let d(m) = -3*m**2 + 3*m. Give h*c(v) + 16*d(v).
2*v**2 - 2*v
Let u(t) = -t**2 - 23*t + 5. Let q(d) = -d**2 - 24*d + 4. Give -3*q(j) + 2*u(j).
j**2 + 26*j - 2
Let s(y) = -2*y + 3*y + 4*y. Let n(d) = -14*d. Let o(i) = i + 7. Let x be o(0). Let z(u) = u**2 - 5*u - 10. Let k be z(x). Determine k*n(t) + 11*s(t).
-t
Let d(u) = -u**3 + 2*u**2 + u - 5. Let x be d(-2). Let w(z) = 3*z - 3. Let f(n) = -n**2 - 13*n + 13. Give x*w(q) + 2*f(q).
-2*q**2 + q - 1
Let m(w) = 3*w**2 - 15*w**3 + 11*w**3 + 3*w - 3 - 4*w**2 - 2*w**2. Let j(v) = v**3 + v**2 - v + 1. What is 3*j(z) + m(z)?
-z**3
Let i(x) = -2*x. Let u be i(-4). Let o(r) = r**2 + 17*r**2 - 7*r**2 + u. Let a(y) = -7*y**2 - 5. Give 8*a(k) + 5*o(k).
-k**2
Suppose -2 = l - 8. Let z = 11 - l. Let p(x) be the second derivative of x**4/3 + 9*x**2/2 - 16*x. Let v(o) = 10*o**2 + 22. What is z*v(i) - 12*p(i)?
2*i**2 + 2
Let r(u) be the first derivative of -3*u**2/2 + u + 15. Let s(l) = l**2 + 1. Calculate -r(h) + s(h).
h**2 + 3*h
Let t(o) be the third derivative of 0 + 1/3*o**3 - 1/20*o**5 + 0*o**4 + 3*o**2 + 0*o. Let f(w) = -10*w**2 + 7. Give -2*f(a) + 7*t(a).
-a**2
Let x(k) = -20*k**3 - 3*k**2 - 17*k. Suppose o = -212 + 195. Let s(q) = -7*q**3 - q**2 - 6*q. Determine o*s(i) + 6*x(i).
-i**3 - i**2
Let v(q) = q**3 - q**2 + 3*q. Suppose 5*k + 18 = -3*m, k + m + 0 + 4 = 0. Let f(t) = t**3 + 2*t. Determine k*f(n) + 2*v(n).
-n**3 - 2*n**2
Let y(g) = -11*g. Let s = 4 + -1. Let a(k) = -s + 3 + 6*k + 0. Calculate 5*a(o) + 3*y(o).
-3*o
Let r(s) = s**3 - 4*s**2 - 5*s - 6. Let t be r(5). Let f(m) = -4 + 2 - 2. Let n(g) = -8. Let l(q) = t*n(q) + 13*f(q). Let z(a) = a - 5. Give 3*l(w) - 2*z(w).
-2*w - 2
Let k(u) = -3*u**3 + 4*u**2 + 4*u - 4. Let t(f) = -2*f**3 + 5*f**2 + 5*f - 5. Calculate 5*k(r) - 4*t(r).
-7*r**3
Let y(k) = -7*k**2 - 2*k - 4. Let u be -15 + (0 - 8)/4. Let m(c) = -20*c**2 - 6*c - 11. Calculate u*y(r) + 6*m(r).
-r**2 - 2*r + 2
Let k(r) = 3 + 4*r - 6*r - 3. Let d(n) = 1 - 5 + 3. Let u = 3 - 2. Give u*k(c) + 2*d(c).
-2*c - 2
Let d(a) = 3 - 4*a**2 - 2 + 4*a - 8. Let k(v) = 2*v**2 - 2*v + 3. Let c = 20 - 18. Suppose 5 = r + c. Give r*d(z) + 7*k(z).
2*z**2 - 2*z
Let d(l) = 6*l**3 - 24*l**2 + 24. Let v(y) = -y**3 + 5*y**2 - 5. What is -5*d(g) - 24*v(g)?
-6*g**3
Suppose -2*a - 2*a = 0. Let p(g) = -3 + a + 2 + 6 - g. Let k(x) = -x**2 - 4*x. Let y be k(-3). Let r(c) = -c + 3. Calculate y*p(h) - 5*r(h).
2*h
Let h(q) = 5*q**3 - q**2 - 4*q - 4. Let y = 3 + -18. Let i = y - -22. Let s(b) = -9*b**3 + 2*b**2 + 7*b + 7. Give i*h(o) + 4*s(o).
-o**3 + o**2
Let r(n) = -2*n**3 + 3*n**2 - 3*n + 4. Let a(b) = 4*b**3 - 5*b**2 + 7*b - 8. Give 3*a(k) + 5*r(k).
2*k**3 + 6*k - 4
Let p(f) = -3*f**3 + 7*f + 7. Let r(l) = l + 2. Let d(b) = -5*b - 11. Let a(s) = d(s) + 6*r(s). Determine -14*a(u) + 2*p(u).
-6*u**3
Let o(z) = -5*z + 6. Let c = -36 - -91. Let k(r) = -45*r + 55. Determine c*o(j) - 6*k(j).
-5*j
Let y(w) = -11*w + 0*w + 0 - 7. Let o(f) = 4*f - 7. Let h be o(5). Suppose 7 = -2*n + h. Let l(s) = -5*s - 3. Calculate n*y(u) - 7*l(u).
2*u
Let b(c) = 3*c + 4. Let a(m) = 1. What is -6*a(z) + b(z)?
3*z - 2
Let k(q) = q**3 - q**2. Let r(p) = -2*p**2 + 51*p - 51*p - 1 + 3*p**3. Calculate 5*k(s) - 2*r(s).
-s**3 - s**2 + 2
Let f(a) = a**2 - 5*a. Let w(h) = -h**2 - 4*h. Let s(y) = -3*y**2 - 8*y. Let r(t) = 2*s(t) - 5*w(t). What is 3*f(x) + 4*r(x)?
-x**2 + x
Let a(o) = -21*o**2 + 9*o - 9. Let d(w) = 5*w**2 - 2*w + 2. Let k = -43 - -34. Calculate k*d(z) - 2*a(z).
-3*z**2
Suppose 9*c + 33 - 15 = 0. Let g(r) = -3*r**2 + 2*r - 1. Let u(a) = -a**2. What is c*u(o) + g(o)?
-o**2 + 2*o - 1
Let n(t) = 6*t**3 - 3*t**2 + 5*t - 2. Let g(o) = -3*o**3 + 2*o**2 - 2*o + 1. Give 5*g(p) + 2*n(p).
-3*p**3 + 4*p**2 + 1
Let n(u) = -2*u**2 + 3*u + 2. Let g(z) = -4*z**2 + 1 - 11*z + 3*z**2 + 12*z. Determine -3*g(w) + n(w).
w**2 - 1
Let o(l) = 15*l**3 - 7*l**2 - l - 7. Let n(j) = -7*j**3 + 3*j**2 + 3. What is -7*n(b) - 3*o(b)?
4*b**3 + 3*b
Let m be (1/(-1))/((-1)/(-5)). Let d(h) = -h**2 + h. Let g(a) = -6*a**2 + 6*a - 2. What is m*d(y) + g(y)?
-y**2 + y - 2
Let l(q) = 91*q**3 + 39*q**2 + 39*q + 39. Let n(i) = -9*i**3 - 4*i**2 - 4*i - 4. Give 4*l(u) + 39*n(u).
13*u**3
Let i(g) = -6*g + 2. Let q(x) =
|
{
"pile_set_name": "DM Mathematics"
}
|
22*m - m**4 - 17 - 8*m**2 + 2 to n*m + i*m**3 + z*m**4 + p*m**2 + h and give n.
22
Express (-26 + 26 + 29*l**3)*(-5*l - 17*l - 23*l)*(2 - 2 - 3) in the form r*l**4 + j + o*l + s*l**3 + y*l**2 and give r.
3915
Rearrange 305*u - 38*u**2 - 2096*u - 41*u**2 + 78*u**2 to i*u + y + w*u**2 and give w.
-1
Rearrange 2808*b - 261*b + 774*b - 1 + 1 to o*b + i and give o.
3321
Express 3*s**2 + 98536*s**3 - 98726*s**3 + s**2 as v*s**2 + l + d*s**3 + x*s and give v.
4
Express -3*p**3 - 10 + 4 + 755*p + 3418*p + p**3 + 7 in the form s + b*p**3 + l*p**2 + z*p and give z.
4173
Rearrange 99*h**3 + 92*h**3 + 94*h**3 - 286*h**3 + 3*h**4 - 131 to d*h**3 + z + n*h**4 + o*h + c*h**2 and give z.
-131
Express 367946*u + 28*u**3 + 2 - 4 - 367953*u in the form t*u**3 + v + n*u + b*u**2 and give n.
-7
Rearrange (v + 2 - 2)*(1 + 2 - 2)*(28*v - 40*v - 20*v)*(-4 - 12 + 0) to z*v + b*v**2 + c and give b.
512
Express -1830*n - 4 + 0 - 167*n + 6 - 5 in the form s*n + z and give s.
-1997
Rearrange -85 + 262 - 2*r**2 - 92 + 12051*r - 85 to the form a + f*r**2 + v*r and give v.
12051
Rearrange 973 + 1268 - 8*c + 991 - 3519 - 7*c to m*c + a and give a.
-287
Rearrange (-1655 + 1299 + 6494 + 6711 + 3068)*(1 - 1 - 2*v) to s*v + f and give s.
-31834
Rearrange -s + 274185*s**3 - 2 + s - 274099*s**3 - 4*s**2 to the form y*s**3 + l*s + x + z*s**2 and give z.
-4
Rearrange (1394*b**2 - 414*b**2 + 1382*b**2)*(-b + 4*b - 4*b) to the form q*b**3 + w*b + t*b**2 + d and give q.
-2362
Express 1025 - 223*w - 952*w - 2024*w - 1025 in the form i + n*w and give n.
-3199
Rearrange 111*r + 199*r + 2888*r - 72*r + 1295*r to b + w*r and give w.
4421
Express -365*y**2 + 29908 - 11*y**3 + 908*y**2 - 29908 as g + m*y**2 + x*y**3 + p*y and give m.
543
Rearrange (-1 - 3 + 1)*(948 + 986 + 246 + 260)*(-12*j - 5*j + 12*j) to the form m*j + w and give m.
36600
Rearrange -86*b**2 + 5*b**3 + 33*b**2 + 0*b - 11*b**4 + 22*b**2 + 2*b - 1 + 28*b**2 to the form y*b**3 + d*b + x*b**2 + o + s*b**4 and give y.
5
Express 117*z**2 + 40*z**2 + 2*z - 292*z**2 + 3*z**3 - 10*z**3 + 8*z**3 in the form o*z**3 + b + m*z**2 + t*z and give t.
2
Express 9876060 + 1608*w**2 - 9876060 in the form f*w + h + c*w**2 and give f.
0
Express (41224 + 34400 - 39568 + 3351)*(-2*k**2 + 3*k**2 - 3*k**2) - 2*k**2 + 4*k**2 - k**2 as y + t*k**2 + g*k and give t.
-78813
Rearrange -114*d + 472 + 477 - 955 + 6*d + 7*d - 18*d + 1 - 1 + 3*d + (-2*d + d + 3*d)*(0 + 0 + 1) + 3*d - 3*d + d to c*d + k and give c.
-113
Rearrange 61*d - 34763783*d**2 + 34763783*d**2 - 130 + d**3 to the form b + o*d + v*d**2 + f*d**3 and give b.
-130
Rearrange 2148*c + 2383*c - 8831*c to the form y*c + j and give y.
-4300
Rearrange (-4*r**3 + 3*r**3 - 7*r**3)*(628 + 893 + 1514 + 3036 + 502) to the form z + j*r**3 + u*r + g*r**2 and give j.
-52584
Express 3*j**2 - 4*j**3 + 24*j**2 - 4 + 4*j**4 - 3*j**4 - 26*j**2 + 2*j + 0*j in the form n + y*j**4 + g*j + u*j**3 + i*j**2 and give n.
-4
Rearrange 537*k - 540*k - k**4 + 2*k**4 + 1 + k**2 - 5 to the form j*k**4 + b + p*k**3 + y*k**2 + m*k and give b.
-4
Rearrange 4*t**2 + 13302*t - 13306*t - 49*t**3 + 4*t**3 to the form u*t**3 + z*t + o*t**2 + v and give z.
-4
Express (26 - 26 - 5*q)*(-8 - 6 + 3)*(-1 + 1 - q)*(6 + 4 - 8) as j*q + v + g*q**2 and give g.
-110
Rearrange -715*n - 707*n + 2 + 2136*n - 716*n to the form j*n + m and give j.
-2
Rearrange 38048 - 3865*u + 38046 - 76094 to the form h*u + b and give b.
0
Rearrange (-21*t + 12*t**2 + 21*t)*((4*t - 79 + 79)*(-3*t - 2*t + 2*t) - 2*t**2 - 3*t + 3*t) to the form o*t**4 + x*t**2 + y*t + s*t**3 + j and give o.
-168
Express -4*g + 257054 + 256843 - 518138 as a*g + x and give a.
-4
Rearrange 19*h**4 - h**4 - 15*h**4 - h**2 + 0*h**4 - 537*h**3 + h to the form t*h + o*h**3 + j + k*h**2 + l*h**4 and give k.
-1
Rearrange m + 96*m**2 + 3*m + 61*m**3 - 97*m**2 - m + 3*m to w + x*m**2 + k*m**3 + i*m and give x.
-1
Rearrange (302290 - 7471*a - 302290)*(2*a + a - 4*a) + 2*a**2 - 3*a**2 + 0*a**2 to the form w*a + d*a**2 + i and give d.
7470
Express 4 + 47*h**2 - 40*h**2 - 93 - 19 - 10*h**2 in the form p*h + i*h**2 + u and give u.
-108
Express (4*a + 6*a - 6*a)*(61396 + 61401 + 1188*a - 122799) in the form s*a + y + h*a**2 and give s.
-8
Rearrange -123*f**2 + 9326*f + 3*f**2 - 4655*f - 4652*f to p*f + h + l*f**2 and give l.
-120
Rearrange (-o**2 + o**2 + o**2)*(-2 + 2*o**2 + 2) + (-5*o + 18 - 6*o + 10*o)*(64*o**3 + 12*o**3 - 14*o**3) to c*o + n*o**3 + x*o**4 + p*o**2 + g and give x.
-60
Rearrange (5*v**2 + 3*v**2 - 5*v**2)*(-13*v**2 - 327*v + 327*v + (6*v + 2*v - 6*v)*(1 - 1 - v)) to the form a + c*v**2 + o*v**3 + b*v + l*v**4 and give c.
0
Rearrange 21 - 33*z + 23*z + 69 + 11*z + 34 to q + b*z and give q.
124
Rearrange -28*u**3 + 2*u**2 - 9*u**3 - 3*u + 29*u**3 + 7 to the form y*u + g*u**3 + z*u**2 + b and give z.
2
Rearrange -120 - k - 53 + 13*k - 28 to t*k + l and give t.
12
Rearrange -29 + 3*b**3 + 29 - 18*b**3 - 5*b**3 + 8*b**3 + (b - 4*b + b)*(-4 + 4 + b**2) to the form g*b + q*b**2 + h*b**3 + u and give h.
-14
Express 0*m + 957 - 470*m**2 + m + 2*m**3 - m**4 - 2*m - 956 as x*m + v*m**2 + l*m**3 + k + d*m**4 and give d.
-1
Express -9 + 1 + 3*z**2 + 5 + 1 + 2*z**2 - 1 + (z + 3*z - 2*z)*(0 + 2*z + 0) - 3*z**2 + 14*z**2 + 6*z**2 in the form u + b*z**2 + p*z and give u.
-3
Express 10893*c**3 - 21436*c**3 - 16*c + 11081*c**3 as l*c**2 + g*c + t + n*c**3 and give l.
0
Rearrange 3158*h**2 + 7*h**3 + 21*h - 3 - 3157*h**2 - h**3 + 1 to q*h**2 + m*h + s*h**3 + b and give m.
21
Express 2 + 237*p**2 - 1 + p**3 - p**4 - 233*p**2 in the form m*p**2 + x*p + r*p**3 + l + j*p**4 and give m.
4
Rearrange -119 + 7*h - 10*h + 438 + 15*h - 22*h to the form t + b*h and give t.
319
Express 243*a**4 + 17*a**4 - 215*a**4 - a**2 + 12 in the form z*a**4 + k + v*a**2 + o*a + t*a**3 and give z.
45
Rearrange (8 + 17 + 61)*(13*t + 9*t + 10*t) + (1 - 1 + 2)*(3*t - 3*t - 2*t) - t + t + t to the form x + w*t and give x.
0
Rearrange 25*h + 69*h + h - 19*h + 45 - 25*h to m + r*h and give m.
45
Express (-1 - 2*n + 1)*(-3 + 2 + 4) + 146*n + 3 - 1 - 9 + 110*n + 7 in the form i*n + s and give i.
250
Rearrange 4311 - 4*b**2 + 5*b - 11*b**3 - 4308 - b - 5*b to s + g*b + h*b**3 + c*b**2 and give c.
-4
Express ((-7 - 15 + 8)*(-1 + 6 - 4) + 164 - 77 + 185 + (-2 + 0 + 1)*(3 - 1 + 0) - 2 - 3 + 4)*(-5*g + 2*g + 2*g) in the form p*g + a and give p.
-255
Rearrange 446*r + 453*r - 1231*r - 1395*r to the form v + x*r and give x.
-1727
Rearrange (-4*k + 7*k + k)*(75181 - 75181 + 948*k**3) - 2*k**4 + 0*k**4 + 3*k**4 to the form l*k**2 + s + r*k**3 + a*k**4 + u*k and give a.
3793
Rearrange -23152*m - 26963*m + 57289*m + (-3 + 5 - 1)*(2 + 2*m - 2) to the form w*m + g and give w.
7176
Express -i**4 + i**2 + 81*i**3 + 2759*i - 2762*i - 144 - 78*i**3 - i**4 in the form q + k*i + b*i**2 + n*i**3 + w*i**4 and give w.
-2
Express -674 - 2868*o + 2866*o + 230 in the form n + j*o and give j.
-2
Rearrange 2 + 13*x**3 + 4435*x - 3*x**4 - 4432*x + 2*x**2 + 9*x**3 to w*x**2 + h + d*x**4 + k*x**3 + t*x and give w.
2
Express 11*h - 54*h**2 - 7*h + 334*h**3 - 336*h**3 - 2 - 10*h as p*h**2 + j*h**3 + i + d*h and give d.
-6
Express (-1347*h + 2884*h - 1081*h)*(0 + 0 + 3*h + (-3*h - h + 5*h)*(-1 + 3 - 1)) in the form j*h + g + v*h**2 and give v.
1824
Rearrange -1061 + l**2 - 13797*l + 13797*l to b*l + u*l**2 + d and give u.
1
Rearrange ((-3 - 2 + 1)*(-5*f + 0*f + 4*f) + 3*f - 6*f + 4*f)*(-33 + 26*f**2 + 33) to v + n*f**3 + r*f + k*f**2 and give r.
0
Express -50 + 997*z + 996*z + 2*z**3 + 9*z**2 + 972*z - 2963*z as o + a*z**3 + k*z + x*z**2 and give a.
2
Express (29*y**3 - 90241*y - 6 + 90241*y)*(7 - 11 - 13) as a*y + i*y**2 + j*y**3 + b and give j.
-493
Express (-7*j - 13*j + j)*(-7 + 7 + 15) + 14*j - 49 + 49 as t + a*j and give a.
-271
Rearrange (3 + 0 - 1)*(568*k + 34114 - 34114)*(-2 + 1 + 6)*(0*k**2 - k**2 - k**2) + 2*k**3 - 1 + 1 to l*k**3 + x*k + j + m*k**2 and give l.
-11358
Express 2*v + v + 34*v**3 + 122*v**3 - 1 + 21*v**3 + 0*v**2 + v**2 in the form m + w*v**3 + x*v + a*v**2 and give w.
177
Rearrange -13*i**3 + 0*i**4 + i**4 - 12*i**3 + 2*i + 2*i + 2*i**2 - 6*i to b*i**4 + v*i**2 + d*i + c*i**3 + t and give v.
2
Rearrange -9*d**2 - 1384483*d - 401 + 1384483*d to r + g*d**2 + y*d and give g.
-9
Express 277*k + 3*k**2 + 214*k - 129*k - k**2 + 179*k in t
|
{
"pile_set_name": "DM Mathematics"
}
|
22)/w*w*w)/w*w)/(w**23*w) assuming w is positive.
w**(-6871/154)
Simplify ((r**(-8)/r*r/(r*((r/r**(-2/5))/r)/r)*r)/(r**(-1)/r)**(-16))/((r/r**(1/2)*r)**14/(r*r*(r*r/(r*r**(-1/3)))/r)**(-1)) assuming r is positive.
r**(-941/15)
Simplify (y/(y**(-2)*y)*y**(-5/3)*y)**(-50)*((((y**(-3/7)/y*y)/y)/y)/y*y**(-1))/(y**0*y*y*y**(-1/3)/y*y*y) assuming y is positive.
y**(-1549/21)
Simplify (((a*a/a**9*a)/(((a/(a/a**(-5))*a)/a)/a))/(a**(-6)*a*a*a*(a/(a*a**(-2/11)))/a))/((a**(-4))**(1/31))**(-1/24) assuming a is positive.
a**(7801/2046)
Simplify ((u**(-1/3))**(19/4))**(-18/7)*(u**(-1/3)/u**4)/(u**(-1)*u*u*u)**39 assuming u is positive.
u**(-3287/42)
Simplify ((c**(-2))**20)**(-19)/((c**(-1/2)/(c/(((c*c**(-2/11))/c)/c)))/((c**(-7)/c*c)/c**(-1))) assuming c is positive.
c**(16647/22)
Simplify ((s*s**0/s)**36)**(-20)/((s**(-2))**43*s**(-1/7)/s*s/s**(-1)) assuming s is positive.
s**(596/7)
Simplify (z*z*(z/z**(-2))/z*z*z*z)/(z**(-2/7)/z)*(z**8/z)/((z/((z**(-1/6)/z)/z))/z)*(z/(z/(z*z**(-5)*z)))/z*z**(-3)*(z**(-1/2))**(-29) assuming z is positive.
z**(433/21)
Simplify (l*l/(l/l**(-15)))/(l*l**(-12)/l*l*l*l)*((l/(l*l**(-23)/l))/l)/l**23 assuming l is positive.
l**(-5)
Simplify ((h/h**(-7)*h**(-22/9))/(h**(-38)/h**(5/6)))**(-2/75) assuming h is positive.
h**(-799/675)
Simplify (((d**3/(d*d/(d/(d**(-1/2)/d))))**(-5/3))**(-7))**26 assuming d is positive.
d**(3185/3)
Simplify ((((q/(q*q/(q*(q*q**(-13/3))/q*q)*q*q))/q**(-4))**(-9/8))**40)**(-50) assuming q is positive.
q**(-3000)
Simplify ((u*u**(-2/7)*u*u**(-7))/((u/((u*u/(u**(2/9)*u)*u*u)/u)*u)/u**(2/3)))/((u*u**5*u**1)/(u**(-2/13)*u*u/(u/u**6)*u*u*u)) assuming u is positive.
u**(-1634/819)
Simplify ((((w*w*w**6)/(((w**9*w)/w*w)/w))/((w*w**(1/4))/((w*w/(w*w**(-2/7)/w))/w*w)))**(23/5))**(-3/41) assuming w is positive.
w**(-69/5740)
Simplify ((a**0)**38/(a*(a**(3/4)*a*a)/a*a*a**(-1/2)*a))/((a*a**(1/3))**(1/43)*((a*a*a**(-1)/a)/a)**(-46)) assuming a is positive.
a**(-25945/516)
Simplify ((p/(p/(p*p**(2/9)*p)))/(p/(p**(1/8)/p))*(p/(((p*p**(-1/2))/p*p*p)/p))**(-8/7))**(1/26) assuming p is positive.
p**(-113/13104)
Simplify ((r**5*r*r**(-3/14)/r)/(r/(r**(1/10)/r)*r*r**11))**(-25) assuming r is positive.
r**(1595/7)
Simplify ((c**(-1))**15*c**(-10/9)/c**(-9))**(-34/3) assuming c is positive.
c**(2176/27)
Simplify ((y/(y**(-6)/y))/((y*(y**(-6)*y)/y)/y))/(y**1)**(-1/46)*(y*((y*y**(-5))/y)/y*y*y/(y/((y*y**(-1/2))/y)))/(y*y**(-1/3))**(-24/7) assuming y is positive.
y**(1901/161)
Simplify (f**(1/2)/f**(-39))/(f*f*(f**(-9/4)/f)/f*f)**(-50) assuming f is positive.
f**(-23)
Simplify (g**(-1)/g)**(1/2)/((g/(g*(g*g**8*g)/g))/((g/g**0)/g))*(g*g/(g/g**(2/7))*g*g*g)/g*g/(g/(g**(-6)/g)*g)*g*g**(5/3)*g*g*g*g*g**8 assuming g is positive.
g**(377/21)
Simplify (m**3*m**(3/11))**(-26)*((m*m**(-1/3))**(-8/3))**(-45) assuming m is positive.
m**(-56/11)
Simplify ((l**(-4))**(2/5)*(l**(-2/7))**(-1/11))**16 assuming l is positive.
l**(-9696/385)
Simplify (w**(1/2)/w*w*w/w**(-2))**(2/19)*((w*w/(w/w**(1/2)*w*w)*w)/(w/((w/(w**(2/9)/w)*w)/w)))**20 assuming w is positive.
w**(4433/171)
Simplify ((x*x**(2/9)/x)**(-14/11))**(-33)*(x*x*x/(x**(-1)*x*x)*x)**42/((x**(-1/6)*x)/((x/x**(3/5))/x)) assuming x is positive.
x**(1339/10)
Simplify (s**(-5/4)*s**3)**(-50)/((s*s**1*s*s)/(s**(1/7)*s))**45 assuming s is positive.
s**(-3025/14)
Simplify (i**23*i)**(-43/5)*i**26/(i*(i/i**(-2/25))/i) assuming i is positive.
i**(-4537/25)
Simplify ((l**(1/4)*l)**(-24))**(-2/45)*((l/l**4*l)/(l/(l/l**(2/15))*l))/(l**(6/11)/l**0) assuming l is positive.
l**(-129/55)
Simplify (x*x/x**(2/19)*x**2)**(-13)/(((x*(x/(x*x**(-2/5)))/x*x)/(x/x**(2/3)))/(x/(x**(2/7)/x))**(-3/26)) assuming x is positive.
x**(-1345924/25935)
Simplify ((p**(-5)*p)/(p*(p*p**(-18)*p)/p*p)*(p/p**28)/p*p/p**(-19)*p)**(-1/6) assuming p is positive.
p**(-2/3)
Simplify (u*u**(1/8)*u)**28/(u**(-6/19)*u/(u*u**(-36))) assuming u is positive.
u**(905/38)
Simplify (((m**(-4/3)*m)/m**(-1/2))/(m/(m*(m*m**(-2/7))/m)*m)**22)/(m/(m*m**(2/11))*m/m**(-2/7)*(m*m**1)**(18/7)) assuming m is positive.
m**(-15877/462)
Simplify ((k*k*k**7*k)**(20/11)*((((k/k**(-5))/k)/k)/k)**(-34))**(-48) assuming k is positive.
k**(44256/11)
Simplify ((k*k/(k*k/(k*k**(2/3)*k))*k)/(k/(k/k**(1/5)*k))*(k**(-2/7))**46)/((k/k**0)**14*(k/((k/(k*k**(-2)*k))/k))/k**4) assuming k is positive.
k**(-2066/105)
Simplify ((n**(-26)/((n**13/n*n)/n))/(n**(-17))**(2/83))**(2/9) assuming n is positive.
n**(-2080/249)
Simplify ((z**1)**(1/77)/(z**(-14)*z*z**(6/7)))**(2/45) assuming z is positive.
z**(208/385)
Simplify ((f*f**4*f)**9*((f**(-3/5)*f*f)/f)**(-1))**(-14/13) assuming f is positive.
f**(-3752/65)
Simplify (u*u*u**(2/3)/u)**(9/8)/(u**(8/7)/u**(5/6))*((u/(u*u**1))/u)**47/(u**4*u/(u**(-6)/u*u)) assuming u is positive.
u**(-17377/168)
Simplify ((f**(-2/7)/f)**(-1/16)*(f**(2/7))**(-1/37))/(f/f**2*(f/(f*f**(-2/3))*f)/f*f**(3/7)*f**1) assuming f is positive.
f**(-12713/12432)
Simplify (f**(1/26)/f*f**(20/7))/(f**(2/5)/(((f**(-4)*f*f)/f*f)/f)) assuming f is positive.
f**(-1369/910)
Simplify c**(-1/4)/(c**4/c)*c*c**(-1/4)*(c/c**(-4/5))/c*(c/(c**0/c))**(6/7)/(c/c**0)**(2/15) assuming c is positive.
c**(-5/42)
Simplify ((x**(-2)*x)**(-36))**(-2/3)/((x**0)**31*(x/(x/((x*x**(-1))/x)))/x*(x**(-3/2)*x)/x) assuming x is positive.
x**(-41/2)
Simplify (((h*h*h**(-1))**(-2/17)*(h/(h/h**(-5)))/(h/(h/(h/(h*h**(-2/3)))*h)))**(-2/3))**(-21) assuming h is positive.
h**(-3416/51)
Simplify ((x**0*x*x**(-7)*(x/(x**(-1/2)*x))/x*x**(-1))**49)**9 assuming x is positive.
x**(-6615/2)
Simplify ((x**(-4)*x)/(x*(x/(x*(x**(1/4)/x)/x*x))/x))**3*(x/(x*x**(-2/15)/x)*x*(x/x**(-2))/x*x)/(x/(x**(1/2)*x*x))**21 assuming x is positive.
x**(1523/60)
Simplify ((i/((i*i/(i/(i*i/(i**(-1/4)/i)))*i*i)/i))**(-2/191)*((i*i**(3/10)*i)/i)/i**0)/((i**1*i)/(i/i**3)*i**(2/15)/(i**(-2/15)/i)) assuming i is positive.
i**(-11237/2865)
Simplify ((x**(1/9)/(x*x**(-7/4))*x**(6/5)/(x*(x**7*x)/x*x))**5)**38 assuming x is positive.
x**(-23731/18)
Simplify ((m**(-2/5)*m*m)**(5/3)*(m**(-6)/m)/m*m*m**(-3))/((m*(m/(m/(m*m/m**(-2/9)*m)))/m)**30/((m/m**(2/7))/m*m)**35) assuming m is positive.
m**(-79)
Simplify ((m**(8/7)*m**(-3)*(m**(1/2))**(7/11))**(-7/5))**(-7) assuming m is positive.
m**(-1659/110)
Simplify (((g**2*g)/g*g)**(-23)*g**(-2)/(g*g**1*g*g*g*g))/((g**0)**(3/11)*(g*g**(2/5)/g)**(-11/4)) assuming g is positive.
g**(-759/10)
Simplify ((g**19/g)**(-40)*g/g**(6/17)*((g**20*g)/g)/g*g)**(2/17) assuming g is positive.
g**(-23778/289)
Simplify (g**(7/6)*g**(-1/18))**6/((g/(g**(4/5)/g))/(g**(-4/3)/g))**(-17) assuming g is positive.
g**(1001/15)
Simplify (r**(-4/3)/r)/r**(-1/5)*r**0*r*r**(-2)*((r*(r*r*(r**(-3)/r*r)/r)/r)/(r**(-1/5)*r*r))/(r**(-1)*r/(r*r**(-6)*r)) assuming r is positive.
r**(-164/15)
Simplify ((n**41/(n*n**(-15)*n))/((n*n**2)/n**2))**46 assuming n is positive.
n**2438
Simplify ((l/(((l*l*l**(-7/4)/l)/l)/l))**(-34)*l**30/((l*(l**10/l)/l)/l))**(-24) assuming l is positive.
l**2532
Simplify u**(-8/9)/((u*u/u**(-3/7)*u)/u)*u**(-40)/(u**(-41)/u) assuming u is positive.
u**(-83/63)
Simplify ((z**1)**(-36/5)*z**(-3)/(z/(z**3/z)*z*z))/((z**(3/4))**(-2/23))**1 assuming z is positive.
z**(-2561/230)
Simplify ((l/(l/(l/((l*l**29)/l*l)*l))*l*l**(-21/4)*l*l)**(-44))**(-19) assuming l is positive.
l**(-25289)
Simplify (g**(-1/8)*g**(1/3))/((g*g**(-1/7)*g)/(g**(-4)/g))*((g/(g*g**(-9)*g)*g)/g**7)/(g**(-1/3)*g/g**(1/5)) assuming g is positive.
g**(-4297/840)
Simplify ((h/(h*h**(2/17))*h*h*h*h**(-4/9))/((h**12/h*h)/h)**(8/11))**43 assuming h is positive.
h**(-36593/153)
Simplify (p*p**(-1/2))**(2/179)*(p*(p*p**0)/p)**(-2/175)*(p**(-3)*p**2/p*p)**(3/10) assuming p is positive.
p**(-19161/62650)
Simplify (r**(-2/11)*(r/(r*r**1))/r*r*r*(r*r**(-1))**(-47))/((r**(-1)*r)**(1/19)/(r**6*r*r*r/r**(-1/4))) assuming r is positive.
r**(399/44)
Simplify (w**(-12)/(w*w/w**(-5))*(w*w/(w**(12/5)/w)*w)/(w*w**(-1)*w))**22 assuming w is positive.
w**(-2024/5)
Simplify (j/j**3)/(j/j**(-1/2))*(j**(1/4))**(-1/4)*(j**(-2/9)/((j/j**(1/3))/j))**(-4/19) assuming j is positive.
j**(-9811/2736)
Simplify ((((p/p**(-2/77))/p*p**(-1/22))**27)**(-2/11))**(14/5) assuming p is positive.
p**(162/605)
Simplify ((((v**(-3/4)/v)/v)/v)/v**3)**(-9/4)/((v*v/(v**(-1/4)*v))**(-37/2)*(v*v**(-1))**(-12/11)) assuming v is positive.
v**(613/16)
Simplify (f**(4/5)*(f/
|
{
"pile_set_name": "DM Mathematics"
}
|
*k**3 - 312/7*k - 26*k**2 - m*k**5 = 0?
-2, -1, -2/7, 3
Let f(q) be the first derivative of q**8/9240 + 13*q**7/1155 + 169*q**6/495 - 63*q**3 + 2. Let k(i) be the third derivative of f(i). Factor k(x).
2*x**2*(x + 26)**2/11
Factor 2/13*p**2 - 290/13*p - 588/13.
2*(p - 147)*(p + 2)/13
Let m(c) be the second derivative of 2*c**6/75 - 29*c**5/25 + 26*c**4/5 + 29*c - 4. Determine w so that m(w) = 0.
0, 3, 26
Let z(d) be the first derivative of d**6/3 - 28*d**5/15 - 7*d**4/3 + 8*d**3 + 43*d**2/3 + 20*d/3 + 1736. Find q, given that z(q) = 0.
-1, -1/3, 2, 5
Suppose -1462 + 5350 = 4*o. What is t in 4860*t + 42*t**3 + 1188*t**2 + 4*t**4 + 15*t**3 + 4860 + 59*t**3 + o = 0?
-9, -2
Let p(t) = -t**3 + 20*t**2 - 21*t + 42. Let i be p(19). Suppose 0 = -o - c - i, 13*c = 10*c - 12. Find q, given that -4/7*q**2 + 2/7*q + o = 0.
0, 1/2
Let z(g) be the third derivative of -g**5/30 - 7*g**4/12 - 4*g**3 - 9*g**2 + 14. Determine j so that z(j) = 0.
-4, -3
Let c(o) be the first derivative of 2*o**3/15 - 2362*o**2/5 + 2789522*o/5 - 4098. Factor c(a).
2*(a - 1181)**2/5
Let d = -52496/825 + 702/11. Let v(u) be the second derivative of -24*u + 0*u**2 - 1/60*u**4 + 0 + 1/15*u**3 + d*u**6 - 29/100*u**5. Let v(n) = 0. What is n?
-1/4, 0, 2/7, 1
Let v(j) be the first derivative of 30 - 36*j - 4/3*j**3 + 20*j**2. Factor v(y).
-4*(y - 9)*(y - 1)
Let d(n) be the third derivative of 0*n**7 - 1/1176*n**8 + 1/420*n**6 + 0*n - 18*n**2 + 0*n**5 + 0*n**4 + 0 + 0*n**3. Factor d(l).
-2*l**3*(l - 1)*(l + 1)/7
Let d(a) = a**3 + 3*a**2 + 4*a + 7. Let c be d(-2). Factor -9*u**2 + 4*u**4 - u**2 - 2*u**2 - 8*u - 7*u**c - 14*u**2 - 8*u**2.
u*(u - 4)*(u + 2)*(4*u + 1)
Let t(u) be the first derivative of -u**3 + 27*u**2/2 + 108*u + 1964. Factor t(g).
-3*(g - 12)*(g + 3)
Let o(n) = 4*n**2 + 3*n - 4. Let p be o(-3). What is q in -p - 4*q**2 - 24 + 24*q + 11 = 0?
3
Let k(z) be the first derivative of -37*z**4 + 272*z**3/3 - 50*z**2 - 24*z - 6216. Factor k(j).
-4*(j - 1)**2*(37*j + 6)
Suppose 11 = -64*j + 395. Let b(g) be the second derivative of 1/5*g**2 + 1/25*g**5 + 0 + 0*g**4 - 2/15*g**3 - 1/75*g**j + 9*g. Factor b(d).
-2*(d - 1)**3*(d + 1)/5
Let n(o) be the second derivative of -13 + 1/5*o**5 - 20/11*o**4 - 2/3*o**3 - 1/165*o**6 - 4*o + 11*o**2. Determine g so that n(g) = 0.
-1, 1, 11
Let b be 20/(-9) + 2 + 19765/45. Suppose -439 + 200*f**2 + 140*f + 2*f**3 + b - 17*f**3 = 0. Calculate f.
-2/3, 0, 14
Let i be -6 + 8 + (-1)/(-1). Suppose -i*v + 5*v - 6 = -4*n, 4*n = -4*v. Let -8/5*d + 6/5*d**2 - 2/5*d**4 - 8/5 + 4/5*d**n = 0. Calculate d.
-1, 2
Let o(n) be the third derivative of n**8/5040 - 2*n**7/315 + 8*n**6/135 - 53*n**3/6 + 49*n**2. Let r(s) be the first derivative of o(s). Solve r(g) = 0.
0, 8
Let y(x) be the first derivative of -x**4/18 + 188*x**3/27 + 101*x**2/9 - 380*x/3 - 7079. Solve y(p) = 0 for p.
-3, 2, 95
Let h = 24395/18 + -1355. Let g(f) be the first derivative of -h*f**4 + 2/45*f**5 - 4/9*f**2 + 16/27*f**3 - 7 + 0*f. Suppose g(l) = 0. Calculate l.
0, 1, 2
Let g = 3 + 1. Let i be -9*1*28/(-63). What is b in -9*b**2 + 15*b**4 - 16*b**g - 5*b**3 - 2 - 7*b + 0*b**i = 0?
-2, -1
Let j(r) be the first derivative of -3/4*r + 1/4*r**3 - 80 - 3/16*r**4 + 3/8*r**2. Find t such that j(t) = 0.
-1, 1
Let u = -1/242507 - -46561351/1697549. Solve 2304/7 + 4/7*w**2 + u*w = 0.
-24
Let h = -281201/420 - -1943/60. Let y = 638 + h. Factor y*o**2 + 12/7 + 18/7*o.
6*(o + 1)*(o + 2)/7
Suppose -1281*c**2 + 637*c**2 - 862427 - 94057 + 3912*c + 640*c**2 = 0. What is c?
489
Let j(q) be the second derivative of 51*q**5/5 - 273*q**4/4 + 2*q**3 + q - 2354. Factor j(h).
3*h*(h - 4)*(68*h - 1)
Solve -86/5*j**2 + 6/5 - 58/5*j - 22/5*j**3 = 0 for j.
-3, -1, 1/11
Let f(c) be the first derivative of 0*c - 12*c**2 + 58 - 28/3*c**3 + 3*c**4 - 2/3*c**6 + 12/5*c**5. Let f(n) = 0. What is n?
-1, 0, 2, 3
Let w(j) be the third derivative of 1/330*j**5 + 0*j**3 - 1/1155*j**7 - 1/165*j**6 + 2*j + 1/33*j**4 + 0 + 12*j**2. Find s such that w(s) = 0.
-4, -1, 0, 1
Let t(z) be the third derivative of -z**6/240 - z**5/20 + 247*z**4/48 + 2856*z**2. Factor t(g).
-g*(g - 13)*(g + 19)/2
Let v = -2/21217 + 190961/84868. Let b(n) be the second derivative of 0 + 3/8*n**4 + 11/8*n**3 + v*n**2 + 3/80*n**5 + 25*n. Find r such that b(r) = 0.
-3, -2, -1
Let y(r) be the third derivative of -1/3*r**5 - 7/60*r**6 + 0*r**3 - 1/3*r**4 - 1/70*r**7 + 232*r**2 + 0*r + 0. Solve y(k) = 0.
-2, -2/3, 0
Let s(i) be the third derivative of i**8/2688 - 3*i**7/280 + i**6/8 - 23*i**5/30 + 11*i**4/4 - 6*i**3 - 20*i**2 - 34. Solve s(b) = 0 for b.
2, 6
Suppose 10 - 22 = -4*a. Let l be (17 - -4) + (-1)/(a/6). Suppose 39*z + 3*z**3 + 24*z**2 + 28*z - l*z = 0. Calculate z.
-4, 0
Suppose -260 = -3*a + 7*a - 70*h, -4*h = -16. Factor 1/2*x**a + 0*x**2 - x**3 + 1/2*x + 0 + 0*x**4.
x*(x - 1)**2*(x + 1)**2/2
Let r(c) = -5*c + 104. Let w be r(20). Find h such that -114*h - 562*h**2 + w + 444*h**2 + 0 = 0.
-1, 2/59
Factor 2/9*i**2 + 494018/9 + 1988/9*i.
2*(i + 497)**2/9
Suppose 0 = -6*q - 5*z + 2, 0 = -q + 98*z - 101*z - 4. Let a(x) be the first derivative of 10 - 20/3*x + 25/6*x**q - 5/9*x**3. Factor a(y).
-5*(y - 4)*(y - 1)/3
Let 2/19*n**2 + 5368/19 + 5370/19*n = 0. What is n?
-2684, -1
Let o be ((4 - 27)/23)/((6 - 2)/(-12)). Determine r, given that 2/3*r**o - 2/3*r**2 - 2/3*r + 2/3 = 0.
-1, 1
Suppose 221*g - 223*g + 15 = -3*y, 2*g = -3*y - 3. Let r(b) be the first derivative of 13 + 30*b + 25/2*b**2 - 5/3*b**g. Factor r(h).
-5*(h - 6)*(h + 1)
Let k(g) = -6*g**3 - 5*g**2 - 12*g - 38. Let z be k(-7). Let f = z + -1856. Factor 0 - 5/3*v**2 - v**f - 2/3*v.
-v*(v + 1)*(3*v + 2)/3
Let i be (-6734)/(-7770)*(-120)/(-117). Factor i + 76/3*w - 841/9*w**3 + 174*w**2.
-(w - 2)*(29*w + 2)**2/9
Factor 2401/9*w**5 + 50368/9*w + 512/9 + 57722/9*w**4 + 463345/9*w**3 + 1248152/9*w**2.
(w + 8)**3*(49*w + 1)**2/9
Let y(n) be the second derivative of -1 - 1/20*n**4 + 21/10*n**2 - 13*n + 3/5*n**3. Suppose y(m) = 0. Calculate m.
-1, 7
Let d(q) be the first derivative of -4*q**3/15 - 246*q**2/5 + 507. Factor d(a).
-4*a*(a + 123)/5
Let h(z) be the third derivative of -z**8/11760 + z**6/2520 - 31*z**3/6 + 145*z**2. Let f(l) be the first derivative of h(l). Factor f(p).
-p**2*(p - 1)*(p + 1)/7
Factor 1/3*y**5 + 0 - 232/3*y**3 + 0*y - 23/3*y**4 - 496/3*y**2.
y**2*(y - 31)*(y + 4)**2/3
Suppose 3 = -o + 597. Suppose -o*h + 537*h + 3380 - 5*h**3 - 110*h**2 - 268*h = 0. Calculate h.
-13, 4
Let y(f) be the third derivative of 0 - 78*f**2 - 1/240*f**6 - f**4 + 0*f + 13/120*f**5 + 3*f**3. Solve y(k) = 0.
1, 6
Let g(i) be the second derivative of i**9/7560 - i**8/224 - 4*i**7/315 - 47*i**4/6 + 35*i. Let p(u) be the third derivative of g(u). Factor p(c).
2*c**2*(c - 16)*(c + 1)
Let k be ((-6)/10)/(42728/(-125020)). Let c = k + -9/218. Factor -c*s - 4/7*s**2 + 40/7.
-4*(s - 2)*(s + 5)/7
Suppose 0 = -4*i + 4*q + 284, -i = i + q - 142. Let f = i + -69. Factor 100*d**5 - 61*d**3 - 23*d**4 - 3*d**3 + 31*d**4 + 16*d**f + 12*d**4.
4*d**2*(d + 1)*(5*d - 2)**2
Let m be (16/(-12))/((-11)/33). Factor 222*n**2 + 2*n**5 - 10*n**3 - 15*n**4 + 17*n**m + 0*n - 216*n**2 + 0*n.
2*n**2*(n - 1)**2*(n + 3)
Let q**5 + 16/7*q**4 - 3/7*q**3 + 0 - 4/7*q - 16/7*q**2 = 0. What is q?
-2, -1, -2/7, 0, 1
Suppose -4*x + 4*z - 2628 = -2644, -5*z - 20 = 4*x. Factor 4/3*s**3 + 0*s + x + 0*s**2 - 4/3*s**4.
-4*s**3*(s - 1)/3
Let a(x) = -x**3 + 451*x**2 - 17760*x + 49280. Let s(q) = -2*q**3 + 1352*q**2 - 53280*q + 147838. Let u(o) = -7*a(o) + 2*s(o). Find m, given that u(m) = 0.
3, 74
Suppose 1/2*u**2 + 159201/2 - 399*u = 0. What is u?
399
Let g(f) be the first derivative of 5*f**6/6 - 2*f**5 - 15*f**4/4 + 40*f**3/3 - 10*f**2 + 937. Find a such that g(a) = 0.
-2, 0, 1, 2
Determine l, given that 7688/3 + 153016/9*l - 1462/3*l**4 + 294878/9*l**2 + 4*l**5 + 128752/9*l**3 = 0.
-3/2, -1/3, 62
Solve 460*r + 6313*r**3 + 6596*r**3 - 13144*r**3 - 177*r**2 - 5*r**4 - 43*r**2 = 0 for r.
-46, -2, 0, 1
Let s(u) be the third derivative of 0*u + 93*u**2 + 5/48*u**4 + 0 + 1/120*u**5 + 0*u**3. Factor s(v).
v*(v + 5)/2
Let q(p) be the third derivative of -p**8/1848 + p**7/105 - 395*p**2 - 2*p. Factor q(d).
-2*d**4*(d - 11)/11
Let o be (-2)/(-4)*(-1804 + 1805). Factor 0 + 6*r**2 + 3*r**4 - 2*r - 13/2*r**3 - o*r**5.
-r*(r - 2)**2*(r - 1)**2/2
Let d be 11
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2/5)))**(-2/29)*(m/m**(4/9)*m*m/m**(-2/7))/(m**1*m)**7 assuming m is positive.
m**(-99793/9135)
Simplify (y/(y*((y/((y*y*y*y*(y**(-3/2)/y*y)/y*y)/y))/y)/y*y)*y**(-6))**23*(y**(-2/5)*(y/y**4)/y)/(((y*y**(-7))/y)/y*y/y**8*y) assuming y is positive.
y**(-939/10)
Simplify ((z*(z/(z/z**(2/5)*z*z))/z*z*z)/z*z)**3*(z*z/z**6*z)/(z/z**2*z)*(z*z**0)/(z/(z*(z/z**(-8))/z))*z**(1/3)*z/z**(2/5)*z assuming z is positive.
z**(137/15)
Simplify ((a**(1/2)/a**(-1/8))/((a*a**(4/7))/(a*a**(-7))))**(-1/5) assuming a is positive.
a**(389/280)
Simplify ((((z/z**(-1/2)*z)/z)/z)/(z**(-4)*z))**48*((z*(z*z*(z**1/z)/z*z)/z)**(2/21))**(-15) assuming z is positive.
z**(1156/7)
Simplify ((x**(-1)/(x**1*x))/((x**1/x)/x**(-7)))/((x/(x**10*x))/(x*x**(-5/4)))**(-4) assuming x is positive.
x**(-49)
Simplify ((o*o**(3/5)*o)**(-10/11))**(-1/11)/((o**(2/9))**14*(o/(((o*o**(2/3))/o)/o))**(9/2)) assuming o is positive.
o**(-9688/1089)
Simplify (r**0)**22/(r**(2/3))**17*((r/r**(-2/3))**(-46))**(-17) assuming r is positive.
r**1292
Simplify (((l**(-2))**(-12)/(l*l**(-4/5)*l**(-2/23)))**(-37))**(-49) assuming l is positive.
l**(4980311/115)
Simplify (k/k**(2/9))/k*k*k*k*k**2*k**(2/11)/k**(6/7)*k**0/(k**(-1/6)/k)*((k*k**(-2/9))/k)**(-13) assuming k is positive.
k**(3769/462)
Simplify (((j*j**(1/26))/((j**(1/18)/j)/j))/(j**(-4/3))**(-1/3))**(-1/28) assuming j is positive.
j**(-33/364)
Simplify ((l**(-26))**(-4/7)*l/l**(-2/31)*(l/(l**(-24)/l))/l)**50 assuming l is positive.
l**(444000/217)
Simplify ((k**(-2/9)*k)/k*k/k**(-1/5))**41/(k**3*k/k**1*k*k*(k*((k/k**(-1/6))/k*k)/k)/k*k*k*k*k**(1/10)) assuming k is positive.
k**(1432/45)
Simplify ((v**(2/11)*v/v**6*(v**(-2)*v)/(v**(-2/11)/v*v))**9)**(-25) assuming v is positive.
v**(13950/11)
Simplify ((q**7/q)**(2/19)*(q*(q/(q/q**(-1/2))*q)/q)**(-34))**(2/39) assuming q is positive.
q**(-622/741)
Simplify ((((t*(t/t**5)/t)/t)/t)/t*t**6)**16/((t*t**0*t**(-1))/(t/t**(-6)*t*t**6)) assuming t is positive.
t**(-2)
Simplify ((v**(-2/5))**(2/57)*(v/(v/v**(2/7)))/v**(-3/10))/((v/(v/(v*v/v**4)))/v*(v**3*v)/v*(v*v**(-1))**31) assuming v is positive.
v**(2281/3990)
Simplify ((i*i**1*i)**(-11))**(-43)/(i**(-4)*i/(i**(-3/7)*i*i))**(3/8) assuming i is positive.
i**(9945/7)
Simplify ((k*k*k**(9/4))/(k**22*k*k)*k*k**5*(k*k*k**11*k)/k)**(-2/99) assuming k is positive.
k**(1/66)
Simplify ((z**(-2/17)/z)/(z**(-2/145)*z))/(z**(-18))**(7/6) assuming z is positive.
z**(46579/2465)
Simplify ((m/(m**(-5/4)/m))/(m/m**(-4/11)))**(-35/6)/((m**(-2))**(-2/45))**(-44) assuming m is positive.
m**(-28087/3960)
Simplify ((((f/(f*f**(-5)*f))/f)/f**(-5))/(f**(-1/4)*f**(-1/11)))/((f*f/(f**(-1)/f))**(2/9))**(-19) assuming f is positive.
f**(9991/396)
Simplify ((u**(2/3))**23*(u**4/u*u)**2)**(7/5) assuming u is positive.
u**(98/3)
Simplify ((v*v**(2/5))**(2/31)/(v**(-2)/(v*v/(v*v/(v/v**(2/3)*v))*v)))/((v/(v/v**(-2/5)))**32/(v**3/v*v*v/(v*v**(-1/2)))) assuming v is positive.
v**(19273/930)
Simplify (p*(p*p**(2/13)*p)/p*p**(2/3)*p)**(12/7)/(p**2/(p*p**6)*p**(3/7)*((p*p*p**6/p)/p)/p) assuming p is positive.
p**(557/91)
Simplify (((j**2*j/(j*((j*j**(-5/3)*j*j)/j)/j*j))/((j**5*j)/j**(-1/12)))**(-2))**(-1/4) assuming j is positive.
j**(-53/24)
Simplify (v**(-2/7)*v)**(-8/11)*(v/(v*v**(1/3)))/v*v*v**7*v*(v**(1/4)*v/(v**1*v))**(1/6) assuming v is positive.
v**(12977/1848)
Simplify (((s/((s/(s**(1/2)/s))/s))**(-3/11)/(((((s/(s*s*s**(-8)*s*s*s))/s)/s)/s)/s**(-2/3)))**(-4/11))**15 assuming s is positive.
s**(1190/121)
Simplify (((l*l**0)**(7/3)/(l/(((l/((l*l*(l/(l/l**(-3/2)))/l)/l))/l)/l)*l**11))**(2/3))**(1/43) assuming l is positive.
l**(-55/387)
Simplify (m**(-5/6)/((m*m/(m*m*m*m**(-6)*m*m))/m))**(-4/5)/(m**(3/2)/m*m**(1/6)/m)**(1/11) assuming m is positive.
m**(379/165)
Simplify ((h/(h/(h*h/((h*h**(-1/5))/h))))**(-22))**(-49)*(h**(1/3)/((h*h/(h**(-1/4)/h))/h*h))/(h**(1/4)/h*h/h**(-3/8)*h) assuming h is positive.
h**(284047/120)
Simplify ((f*f/(f/(f/(f**6*f))))/f**3)**(-37)*((f*(f/f**(-2/5))/f)**(1/35))**(-33) assuming f is positive.
f**(7367/25)
Simplify (((c*c**(1/26)/c)/c)**(-2/55)*(c**(-22/9))**1)**(2/11) assuming c is positive.
c**(-6202/14157)
Simplify (a*a**(-4)*(a/a**0)/a)/((a/(a/(a/a**(-1/6)*a))*a)/a**(-2/17))*a**(-1/4)/(a*a**(2/3))*(a*a**1/a)**(-9) assuming a is positive.
a**(-3509/204)
Simplify ((((h**(-2/5)*h)/h)**(-33)*(h**(4/7)/h)/h**(-5/3))**(3/2))**(-22) assuming h is positive.
h**(-16676/35)
Simplify ((g*g/(g*((g/g**1)/g)/g)*g)**25/(g**(3/7)/g**(1/17)))**27 assuming g is positive.
g**(320112/119)
Simplify (((h**(4/15)*h)**(-39))**15)**20 assuming h is positive.
h**(-14820)
Simplify ((h**(-8)*h/(h*h*h**(2/7)*h)*(h*h*h**2)**28)**(-4))**(-2/7) assuming h is positive.
h**(5696/49)
Simplify ((b**18*b*b**(2/27))/((b/(b*b*b**8*b))/(b*b**(-20)/b)))**(2/19) assuming b is positive.
b**(490/513)
Simplify (g**(-6)/g*g/(g/(g*g**4)))**49*((g**1)**(5/3))**(-9/2) assuming g is positive.
g**(-211/2)
Simplify (p/(p**(-2/65)/p))/p*p/(p/p**10*p)*(p**(-2/15))**43 assuming p is positive.
p**(838/195)
Simplify ((b/(b*b*b/(b*b/b**18)*b))/b**39*((b**16/b)/b)/(b/b**(3/2)))**26 assuming b is positive.
b**(-1131)
Simplify (w**(-2/7)/w)**(-22)/(w/(w*w**1))**(-36)*(((w/w**0)/w)/w*w)**(-6)/(w/(w/w**(-2/3)*w)*w**(2/11)) assuming w is positive.
w**(-1439/231)
Simplify (m**(-4)/m**(2/7)*m**8*m*m**(-1))/((m/m**(-1))**(2/65)*m**7*(m*m*m**(-3/2))/m) assuming m is positive.
m**(-2591/910)
Simplify (o/(o*(o**(-5/4)*o*o)/o)*(o**(3/7)/o)/o)**(-7/6)/(o**(-2/9)*(o/((o*o**(-6))/o*o))/o)**(2/9) assuming o is positive.
o**(311/648)
Simplify ((g*g**(-2/19))/g*g**(-4/9)/g*g*g**20*g*g*g**(3/2)*g)**39 assuming g is positive.
g**(106483/114)
Simplify (((w**(-4/5)/w)/(w*w**6))/(w**1)**(1/14))/((w**(-5)*w**(4/5)/w)/(((w/(w/(w**(-1)*w)))/w)/w)**(-32)) assuming w is positive.
w**(4223/70)
Simplify (((((w/w**(-4))/w*w)/w)/(w/w**(-3/23)))**19)**(6/25) assuming w is positive.
w**(7524/575)
Simplify (u/((u**(-1/17)/u)/u)*u*u**17*u*(u**(17/2)/u)/(u/u**(-9/5)))**2 assuming u is positive.
u**(4549/85)
Simplify (z*z/(z/(z**(1/7)*z)*z*z)*(z/z**(-2))/z*z)**(-2/77)*(z*z**5*z*(z*(z**(-3)*z)/z*z*z)/z*z)/((z/(z/(z/(z*z**(1/5))*z)))/z**(-2/3)) assuming z is positive.
z**(4007/735)
Simplify (z/(z*z*z*z**(-26)*z*z*z*z))/z**(2/17)*(z*z**7)/z**37 assuming z is positive.
z**(-155/17)
Simplify ((c**(1/4))**(-28)/(c**(-1))**(-1/6))/((c**(-1/2))**(2/63)/(c**5*c**(-3))) assuming c is positive.
c**(-649/126)
Simplify ((w*w*w**(-1/7)*w)/(w/(w**(-2/17)/w)))**(36/7)/((w/(w*w/w**1))**(-2/63)/((w**(-1/2)*w)/((w/w**(-4))/w))) assuming w is positive.
w**(505/1666)
Simplify (f**(-1/5)*f/(f*f*f**(-1/9)/f))**(-19)*(f**12*(f**(-6)/f*f)/f)**(-2/149) assuming f is positive.
f**(10874/6705)
Simplify u**(12/11)*u*u/u**32*(u**33)**(-4) assuming u is positive.
u**(-1770/11)
Simplify l**(2/47)*l/((l**(18/5)*l*l)/l)*(l**(12/5)/l)/(l*(l*l**(-2))/l) assuming l is positive.
l**(-272/235)
Simplify ((t**(-16)*t)**(-3/4)*(t*t**(-2/21)/t*t)/t*t/(t**(2/5)/t))**(-49) assuming t is positive.
t**(-37499/60)
Simplify (h/(h*h**1)*h/((h*(h/(h*h*h*h/(h/(h**15/h))*h*h*h))/h)/h)*h*h/((h*h**(3/5)*h)/h)*h*h/(h**(-1/27)/h)*h)**(-2/69) assuming h is positive.
h**(-6598/9315)
Simplify (a**1*a)**15/(a**0)**(6/5)*(a**(-3)*a*a**(-3/7))/((a*a**(-1/5))/(a**(-2/3)/a)) assuming a is positive.
a**(2636/105)
Simplify (n**(3/4)*n*n**(-4)/n)**(-1/27)*(n**2/(n*n**0))/(n**(-4)/n**(-2/9)) assuming n is positive.
n**(529/108)
Simplify (g/(g/(g*g/g**(1/8)*g))*(((g**1/g)/g)/g*g)/g*g**(1/10)*g/g**(2/9))/((g*g**(2/5)/g*g)**42*g**(3/2)*g*g**6) assuming g is positive.
g**(-23597/360)
Simplify ((((l/l**(-9))/l)/l*l*l**(-8)*l*((l*l*l/l**2)/l)**35)**(-41))**13 assuming l is positive.
l**(-1066)
Simplify (h/((h*h**16)/h)*h*h**(31/4)*(h/(h*h**25))/(h*h*h**(2/15)*h))**(-4/11) assuming h is positive.
h**(2063/165)
Simplify (g**(-13)*g**1)**(1/15)*((g**(2/55)*g*g)/(g*g**(1/6)))**(-5/7) assuming g is positive.
g**(-469/330)
Simplify ((c/c**(-1))**(5/3))**(-49)*(c**(-1)/(c/(c*(c**8/c)/c*c*c)*c))/(c**1/c**(-3)) assuming c is positive.
c**(-484/3)
Simplify ((k**(-22)/k)**(-24/7)*(k/(k/k**(3/8))*k)**4)**(-27) assuming k is positive.
k**(-31887/14)
Simplify ((h/(h*h**(-2/3)*h*h*h))/(h*h**7*h))**(2/65)*((h**(1/3))**(-16/3))**(2/39) assuming h is positive.
h**(-772/1755)
Simplify ((d**16)**(-2/33)/(d/(((d**19/d)/d)/d))**(-42
|
{
"pile_set_name": "DM Mathematics"
}
|
ct the terms in -657 + 37*g + 657 - 37*g + 1249*g**2.
1249*g**2
Collect the terms in -199815*o - o**3 - 2 + 2 + 199808*o.
-o**3 - 7*o
Collect the terms in -286*s**2 + 155*s**2 + 140*s**2 + 10.
9*s**2 + 10
Collect the terms in -108818*f**2 + 108843*f**2 + 0 + 1.
25*f**2 + 1
Collect the terms in 985*v**2 - 990*v**2 + 177*v - 172*v.
-5*v**2 + 5*v
Collect the terms in -449 + 92*o**2 + 449.
92*o**2
Collect the terms in -14958*j - 424*j + 15378*j.
-4*j
Collect the terms in 11*j - 13119 - 7*j + 3838.
4*j - 9281
Collect the terms in -259*a + 774*a - 265*a - 256*a.
-6*a
Collect the terms in -69*c + 1 - 626*c - 228*c.
-923*c + 1
Collect the terms in 57*m**2 - 26 + 26 - 441*m**2 + 15*m**2.
-369*m**2
Collect the terms in -238715*y**3 - 238711*y**3 - 238716*y**3 + 716141*y**3.
-y**3
Collect the terms in 174 - 716 + 178 + 181 + 183 - 12*l.
-12*l
Collect the terms in -27 + 9*j + 3 + 13 + 11.
9*j
Collect the terms in 29587 - 29587 - 205*k.
-205*k
Collect the terms in -907*p**3 + 901*p**3 + 3*p - 3*p.
-6*p**3
Collect the terms in 226 + 267 + 246 + 2*v**2 + 231 - 970.
2*v**2
Collect the terms in 32248*u**2 + 50 - 50.
32248*u**2
Collect the terms in 0*d + 337*d**3 + 0*d + 471*d**3.
808*d**3
Collect the terms in -32495735 + 4*w**3 + 32495735.
4*w**3
Collect the terms in -51*v - 27*v - 326 + 1 + 76*v.
-2*v - 325
Collect the terms in 3*y - 353 - 10*y - y + 7*y - y.
-2*y - 353
Collect the terms in 51 - 51312*o**3 - 51 + 2*o**2 + 51354*o**3.
42*o**3 + 2*o**2
Collect the terms in 27*v - 2*v + 0*v + 3*v - 17*v.
11*v
Collect the terms in 25*s**2 + 2044 + 6*s**2 - 2044.
31*s**2
Collect the terms in 27*r + 90362 - 90362.
27*r
Collect the terms in -182092*r + 182079*r + 2 - 2.
-13*r
Collect the terms in 1023*w + 166*w**3 - 506*w - 517*w.
166*w**3
Collect the terms in -90*c + 24*c + 5*c.
-61*c
Collect the terms in 141889*h**3 + 141863*h**3 - 283751*h**3.
h**3
Collect the terms in 3*d**3 + 6*d + 93*d**2 - 5*d - 2*d - 93*d**2.
3*d**3 - d
Collect the terms in 125*y**3 - 82*y**3 + 92*y**3 - 58*y + 31*y + 27*y.
135*y**3
Collect the terms in 62 + 86 - 28 + 18 - 105*r.
-105*r + 138
Collect the terms in -235*t + 1864*t + 870*t.
2499*t
Collect the terms in -8*w - 9*w + 7*w - w - 6*w.
-17*w
Collect the terms in 191283*f - 190910*f + 0 + 0.
373*f
Collect the terms in -17*v**3 - 18*v**3 - 10*v**3 + 46*v**3.
v**3
Collect the terms in 98*p - 194*p - 19*p**2 + 96*p + 9*p**2 + 9*p**2.
-p**2
Collect the terms in 0 + 2533*k**2 + 0 - 3675*k**2.
-1142*k**2
Collect the terms in 818*r**3 - 932*r**3 + 759*r**3.
645*r**3
Collect the terms in 55*l + 2*l**2 + 13*l + 2*l - 70*l.
2*l**2
Collect the terms in -25 + 62 - f - 20 - 17 - 721*f**2.
-721*f**2 - f
Collect the terms in -9*k**3 + 2*k**2 + 3*k - 6*k + 3*k - 9.
-9*k**3 + 2*k**2 - 9
Collect the terms in -211*r + 472*r - 251*r.
10*r
Collect the terms in 89699 - 2*l - 44847 - 44852.
-2*l
Collect the terms in -x + 2 + 2*x + x - 9 - 5*x.
-3*x - 7
Collect the terms in -2*t**2 + 57*t - 23*t - 57*t.
-2*t**2 - 23*t
Collect the terms in 5573*m**2 - 1 + 1 - 342*m**2 + 1.
5231*m**2 + 1
Collect the terms in -723*s + 756*s + 492*s.
525*s
Collect the terms in 51 + 12*y - 47 - 4 + 34*y.
46*y
Collect the terms in -6062*t + 12121*t + 89*t**2 - 6059*t - 2.
89*t**2 - 2
Collect the terms in 297*f + 14*f**2 - 27*f**2 + 12*f**2.
-f**2 + 297*f
Collect the terms in -2 + 864*r**2 + 682*r**2 - 1546*r**2 + 2 - 3*r**3.
-3*r**3
Collect the terms in 37 - 78 + 41 - 5243*z**3.
-5243*z**3
Collect the terms in 16355*z**2 + 507*z**3 - 16355*z**2 - 259*z**3 - 252*z**3.
-4*z**3
Collect the terms in -225*z**3 + 463*z**3 - 236*z**3.
2*z**3
Collect the terms in 152*l**2 + 145*l**2 + 2*l**3 - 600*l**2 + 149*l**2 + 154*l**2.
2*l**3
Collect the terms in 4*f - 5*f - 10 - 43*f**3 - 4*f + 3*f.
-43*f**3 - 2*f - 10
Collect the terms in -17299*a**2 - 17299*a**2 + 34602*a**2.
4*a**2
Collect the terms in 243 + 244 - 748 + 261 - 20*x.
-20*x
Collect the terms in f**3 + 4*f - 4*f + 664*f**2 - 704*f**2.
f**3 - 40*f**2
Collect the terms in 41361 - 41361 + 12*p.
12*p
Collect the terms in -37*c**2 - 61*c**2 + 147*c**2.
49*c**2
Collect the terms in -31*u**2 - 23*u - 21*u - 27*u + 71*u.
-31*u**2
Collect the terms in 18*n + 28*n + 28*n + 8*n.
82*n
Collect the terms in -5*n - 32*n**2 + 14*n**2 - 24*n**2 - 4*n.
-42*n**2 - 9*n
Collect the terms in 793*g - 784*g - 2794*g.
-2785*g
Collect the terms in -208*c**2 - 9*c**2 + 77*c**2.
-140*c**2
Collect the terms in -43*w**2 + 86*w + 25*w**2 + 11*w**2 - 86*w.
-7*w**2
Collect the terms in -7*k - 4*k - 282*k**3 + 12*k - k.
-282*k**3
Collect the terms in 2 + 122*v**2 + 89*v - 2 + 0 - 126*v**2.
-4*v**2 + 89*v
Collect the terms in 2*i**3 + 16*i**2 + 15*i**2 - 19*i**2 - 12*i**2 + 5*i**3.
7*i**3
Collect the terms in 305*n**2 - 195*n**2 + 135*n**2 + 179*n**2 + 5*n.
424*n**2 + 5*n
Collect the terms in 5*k + 991 - 990 + 6*k.
11*k + 1
Collect the terms in 125*n + 211*n + 5 - 6 + 24*n.
360*n - 1
Collect the terms in -3*g + 16018 - 32527 + 16509.
-3*g
Collect the terms in 91*f**2 - 4198 + 4198.
91*f**2
Collect the terms in 5 + 0 - 5 - 6734*d.
-6734*d
Collect the terms in -834*g - 861*g + 1805*g.
110*g
Collect the terms in -o**2 + 71*o + 0*o**2 + 93*o + 85*o - 249*o.
-o**2
Collect the terms in 91856*q**3 - 11942*q**3 + 30222*q**3.
110136*q**3
Collect the terms in 0*r - r - 30265*r**3 + r.
-30265*r**3
Collect the terms in -1284 + 1058 + 226 - 2*g**3 + 3*g**3.
g**3
Collect the terms in -38 + 86 + 168*s + 117*s - 49.
285*s - 1
Collect the terms in -1197*s + 9 - 1151*s + 2347*s.
-s + 9
Collect the terms in -4479 + 2240 + 2228 - 3*y.
-3*y - 11
Collect the terms in -2*y**3 - 15*y**2 - 191*y - y**3 + 14*y**2.
-3*y**3 - y**2 - 191*y
Collect the terms in -460 - 461 + 1379 + 4*n - 468.
4*n - 10
Collect the terms in -27*z**3 + z**3 + 18*z**3 + 19*z**3.
11*z**3
Collect the terms in 19*j - 5 + 15 + 0.
19*j + 10
Collect the terms in -34*u + 4*u + 13*u - 1 + 1.
-17*u
Collect the terms in 0 - 15*d - 492*d**2 - 101*d**2 - 1 + 4*d.
-593*d**2 - 11*d - 1
Collect the terms in -938*g - 1101*g + 1822*g.
-217*g
Collect the terms in 56*a + 1 - 19*a**2 - 56*a - 201*a**2 - 4*a**3.
-4*a**3 - 220*a**2 + 1
Collect the terms in 41*l**2 + 8*l - 4*l - 18*l - 44*l**2 + 2*l.
-3*l**2 - 12*l
Collect the terms in 315*m**3 + 299*m**3 - 644*m**3.
-30*m**3
Collect the terms in -34*w**2 + 12*w**2 - 9*w**2 + 66*w**2.
35*w**2
Collect the terms in -7 + 7 - 7 + 17*u + 7.
17*u
Collect the terms in 402*z**2 + 194*z**2 + 491*z**2.
1087*z**2
Collect the terms in 44*v - 210*v + 45*v + 53*v + 69*v.
v
Collect the terms in 2 - 36*d + 64*d + 52*d + 12*d.
92*d + 2
Collect the terms in -1054*k + 0 + 0.
-1054*k
Collect the terms in 16*p**2 - 24*p + 2*p**2 + 24*p + p**2 + p**2.
20*p**2
Collect the terms in 711*f - 414*f - 288*f.
9*f
Collect the terms in -52*x**2 - 55*x**2 - 47*x**2 + 205*x**2 - 57*x**2.
-6*x**2
Collect the terms in 15*f + 0*f - 8*f - 17*f**2 - 7*f.
-17*f**2
Collect the terms in -24534370*f + 8*f**3 + 24534370*f.
8*f**3
Collect the terms in 331*n**3 + 327*n**3 + 330*n**3 - 986*n**3.
2*n**3
Collect the terms in -9*k + k + 24*k + 26*k.
42*k
Collect the terms in -3 - 1165*f - 9 + 12 + 1100*f.
-65*f
Collect the terms in 3969*j**2 + 3970*j**2 + 4 + 3964*j**2 + 3963*j**2 - 15870*j**2.
-4*j**2 + 4
Collect the terms in 503*d**2 - 130*d**2 - 172*d**2 - 117*d**2.
84*d**2
Collect the terms in 4*g - 5*g - 10*g + 9*g - 11*g - 3.
-13*g - 3
Collect the terms in 90025 + 3*d - 90025 + 0*d - d.
2*d
Collect the terms in -2*w - 4 - 21 + 3*w + 18.
w - 7
Collect the terms in -848*c**3 + 6274*c**3 + 758*c**3.
6184*c**3
Collect the terms in 3 - 2*d**3 - 130509*d + 130509*d.
-2*d**3 + 3
Collect the terms in 99744*l**2 - 5025*l + 5025*l - 99746*l**2.
-2*l**2
Collect the terms in 4*f**2 - 1248*f - 1149*f + 2397*f.
4*f**2
Collect the terms in -49*k - 367*k - 145*k.
-561*k
Collect the terms in 11*h + 12*h - 5573 - 11*h.
12*h - 5573
Collect the terms in -3*y**2 - 98 + 4*y + 65 - 4*y.
-3*y**2 - 33
Collect the terms in 111*m - 4*m**2 + 109*m - 4*m**2 - 218*m.
-8*m**2 + 2*m
Collect the terms in 133 - 6*g + 122 - 38.
-6*g + 217
Collect the terms in -68*y + 3884*y**3 + 68*y.
3884*y**3
Collect the terms in 183 + 192*z**2 - 183 - 124*z**2.
68*z**2
Collect the terms in 20*g + 9 - 9 - 30*g.
-10*g
Collect the terms in 3003*j**3 - 6041*j**3 - 3*j**2 + 3040*j*
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Suppose 61*b - 1993 - 613 = 871. Solve 0 = 8*t + 5*u + b, -7 = -5*u - 32 for t.
-4
Let i = -4810 - -4838. Solve n - 4*m - 8 = 3*n, -3*n + i = -4*m for n.
4
Suppose -u - 5*p = -38, 3*u - 3*p = p + 19. Suppose 9*j + u*j = 44. Solve d + v = -d - 5, -4*v = j*d + 2 for d.
-3
Suppose 25 - 69 = -4*u - 4*p, -5*p - 64 = -2*u. Solve 14*t = u*t - 2*d + 11, 0 = d + 2 for t.
-5
Let n be (-66 + 67)/((-2)/(-8)). Suppose -2*d = 2*d + d. Solve 0 = -3*i - n*a - 0*a, -i + 5*a = d for i.
0
Suppose 15*z + 4*a + 15 = 16*z, -z + 15 = 4*a. Solve -4*q - z = -33*h + 38*h, -3*h = -3*q - 18 for h.
1
Let x = -34 + 70. Let u = -34 + x. Let s = -31 - -43. Solve -s = -3*p - 0, 18 = -u*k + 3*p for k.
-3
Suppose -2 = -2*u, 5*i = 9*i + 5*u - 41. Suppose -49 = -i*k - 4. Solve -4*o = 4*c - 2 - 2, k*c - 5*o = -45 for c.
-4
Let o(q) = q**2 + 14*q + 40. Let p = 266 - 276. Let r be o(p). Solve -2*i - 26 = -4*d, -i + 2*d - 4*d + 7 = r for i.
-3
Let g be (-2)/4 + 2134/44. Let d = g - 46. Solve h - 2*u - 5 = -2, -d = -2*h + 3*u for h.
-5
Let r(b) = -6*b - 53. Let d be r(-17). Let c = d - 14. Solve -t + 4*t = 3*m + 30, -2*t = -5*m - c for m.
-5
Let x(z) = -9*z**2 - 2*z + 9. Let r be 7/4*4 + (-3)/1. Let j be x(r). Let i = j + 145. Solve -2*t + 7*t - g = -10, 0 = -i*g for t.
-2
Let i(s) be the third derivative of 2*s**5/15 + 3*s**4/8 - 17*s**3/6 - 90*s**2 + s. Let m be i(2). Solve p = -5*l + 10 - m, 3 = 3*l - 5*p for l.
-4
Let f(p) = 74*p + 25 + 32*p**2 + p**3 - 12*p**2 - 34. Let t be f(-15). Solve 0 = 3*c + 5*u + 10, -c = -t*c - u - 24 for c.
-5
Let m = -18406 - -18406. Let u be (-6)/(-8)*40/15. Solve 0 = 2*j + 3*p - 8, m = -u*p + 4 for j.
1
Let j(d) = d**3 + 4*d**2 + 22. Let x be j(-10). Let b = -575 - x. Solve -3*a + 2*o = -7, -a = b*a + 4*o - 16 for a.
3
Let b(r) = 2*r**2 - 12. Let h be b(3). Suppose h*p + 8 = 8*p. Solve -5*l = -20, p*n = -2*l - l + 24 for n.
3
Let c be ((-42)/(-77))/((-315)/1782 + 4/18). Solve 2*p + c = -5*q - 4, -2*p = -3*q - 16 for p.
2
Suppose -2*i - 24 = 2*k, 8*i + 8940*k - 2 = 8939*k. Suppose 0 = 5*p - 5*r, -9 = p - 3*r + 1. Solve 3*t + q = 4*q + 3, i*q = p*t - 2 for t.
0
Suppose 29*s + 45*s = -17*s + 182. Solve 2*t + 14 = -s*q, 0 = 9*t - 14*t + 2*q for t.
-2
Let w(m) = -6*m**3 - 4*m**2 - 12*m + 34. Let o be w(3). Let l = -195 - o. Solve -3*q = -2*y - 15 + l, -4*y = -2*q + 4 for y.
1
Suppose -2*l + 2*f = -61 - 9, 2*l - 49 = -5*f. Suppose 6*i - 10*i - l = 0. Let w = i - -21. Solve 2*j = g - 2*j + 21, 5*g + 3*j = -w for g.
-5
Let x(i) = -6*i - 225. Let t be x(-38). Solve -3*z + 7*n = t*n - 10, 18 = z - 5*n for z.
-2
Suppose -s = 4*q + 10, 3*q + 0 = -2*s + 5. Let d = 6 - 3. Suppose s = 2*j + d*j, r = -3*j + 10. Solve 5*b = 3*o + 3*b, r*b + 12 = 0 for o.
-2
Let l(q) = -q**3 - 110*q**2 - 89*q + 2183. Let f be l(-109). Solve -a = f*z + 16 - 33, -2*a - 6 = -2*z for a.
2
Suppose -8 = 2*d + 2*a, -4*d + a + 8 - 24 = 0. Let x be -62*d/24*-3. Let i be x/(-7) - (-57)/(-133). Solve g - 5*g + 4*z - 16 = 0, -i*g = 3*z - 5 for g.
-1
Suppose -4*q - 3*w = -23, -q + 3*w + 33 = 2*q. Suppose -2*c + 11 = 5. Suppose r = -c + 6. Solve r*i - q = -t, 28 = -4*t + 2*i + i for t.
-4
Let f(o) = -o**3 + 15*o**2 - 6*o + 91. Let i be f(15). Solve 0 = 5*v + 4*w - 11, -4*v - i = 2*w - 5 for v.
-1
Let q(w) = 17*w**3 - 255*w**2 + w - 2. Let b be q(15). Solve -8*x + 5*y - 25 = -b*x, 0 = 5*x + 2*y - 22 for x.
4
Let w = -366 - -231. Let k be (-6)/8 + (0 - w/4). Suppose 5*s - 48 = -k. Solve 5*j = 3*o + 11, 0 = -5*o - s*j + j - 8 for o.
-2
Let r = -4510 + 4510. Solve -2*b + 72*p = 74*p, r = -p + 4 for b.
-4
Let z(v) = -v**3 + 8*v**2 + 22*v - 16. Let c be z(10). Suppose t = -c*t. Suppose t = -4*b - 0*b. Solve 5*r + 4*i = -b*r + 21, -i = -4*r + 21 for r.
5
Let p be (392/8 - 1)*-2. Let g be 4 - p/216*(-18)/4. Solve 0 = 5*t + g*a + 8, t - a = -3*a for t.
-2
Let u be 10*10*42/700. Solve 3*q - 16 = 5*k, k + 12*q - u = 8*q for k.
-2
Let y(r) = -r**3 + 3*r**2 - 3 + 3 + r**2. Suppose -9 = v - h - 10, 2*h = -3*v + 18. Let b be y(v). Solve 0 = -4*c + 5*f + 2, b = -c - 0*c + f for c.
-2
Let b = -160 + 281. Let a = b + -121. Solve a = 4*h - 2*h + 4*c - 2, -2*h - 3*c = -4 for h.
5
Let u(z) = -61*z + 5075. Let h be u(83). Solve s - h = 3*t + 3, 5*t = -20 for s.
3
Let o be 71/15 + 8/30. Solve -5*v + 2*g + 2 + 3 = 0, 0 = 5*v + 3*g - o for v.
1
Let k(z) be the third derivative of -z**5/20 - 21*z**4/8 + z**3/2 + 33*z**2. Let x be k(-21). Solve -3*j = x*l, l = -j - j - 1 for l.
1
Let c be (-91)/2*-26*18/1638. Solve 23 = 2*z + c, -2*n + 4*z = 18 for n.
1
Let n be 348/2*2/6. Let o = n + -58. Solve o = 2*c, -3*c = 3*l - c + 15 for l.
-5
Let w = -18 + 28. Let z be 25/2*8/w. Solve -4*h - 12 = -2*d, 0 = 5*d - 0*d + z for h.
-4
Suppose 3*v - 8*v = 7*v - 24. Solve 4*r - 22 = v*h, 3*h = 4*r - 29 + 2 for h.
-5
Let t(q) = -2*q + 56. Let s be t(24). Let w(l) = 26*l - l**3 + 7 - 2*l**2 - s*l - 9*l. Let f be w(-4). Solve 2*o - 8 = -y, -2*o = -2*y + f + 1 for y.
4
Let y = -8 - -10. Suppose -y*x + 11*x - 90 = 0. Let s be 2/x - 4/(-5). Solve -1 = -d - 3*m + s, 0 = m - 1 for d.
-1
Suppose 5 = 5*z, -4*z - 23 = -3*x + 24. Suppose -3*y + x = -1. Suppose 0 = -y*b + 4*b + 10. Solve 17 = 4*l + b*i, -l - 3*l = -3*i - 9 for l.
3
Suppose 2*n + 7 = -t + 19, -5*t - 3*n + 18 = 0. Solve -3*h + 13*j = 17*j - 23, t = -5*j + 10 for h.
5
Suppose 2*l = 41 + 3. Suppose l*p - 26*p = -4. Let y be (0 - (-4 + 1))*p + 2. Solve -y*k + 2*v + 20 = -5, 17 = -k - 4*v for k.
3
Let o(g) = -g**2 - 43*g - 118. Let r be o(-51). Let a = r + 528. Solve a*d - 2*x = -4, 4*x - 7 - 1 = d for d.
0
Suppose -43*b + 107 + 22 = 0. Let p be (-1)/(30/(-12) + b) - -5. Solve q = 3*z - 6 - 0, p*z - 24 = -5*q for z.
3
Let z = -13538 - -13540. Solve 7 = -g - z*v, -11*g = -9*g - 3*v + 7 for g.
-5
Suppose 143 = 5*y + 933. Let k = 162 + y. Suppose 5*b = 8*b - 84. Solve 3*w + 3*s = -w - 8, -k*w + 2*s = b for w.
-5
Suppose 0 = -118*b - 77*b + 435 + 345. Solve -5*v + 3*z = -8, -5*v + 4*v - 26 = b*z for v.
-2
Let x = 179 + -215. Let t be ((-4)/9)/(8/x). Solve -l = 2*r - 6, 4*l = r - t*r + 3 for l.
0
Let p = 5 - 3. Suppose 1056 = -f - 2*f - 2*c, 702 = -2*f - 2*c. Let a = -350 - f. Solve w - j = -a + p, -6 = 3*j for w.
-4
Let s(b) = -b + 10. Let a(w) = -1. Let r(g) = -3*a(g) - s(g). Let m be (7/1 - -1) + -1. Let q be r(m). Solve i + 5*n - 18 - 10 = q, 4*i = -2*n + 22 for i.
3
Suppose 5*o + 165 = 5*n, 2*n + 2*o = -17 + 71. Let h be 13 - 20/140*63. Solve 2*k - 5*x = n, 5*k - h*x = -x + 37 for k.
5
Suppose -14*h - 10*h + 30 = -42. Solve -5*x - 21 = h*v - 4, 4*x = 2*v + 4 for v.
-4
Let y be 15 - (8/2 - 4)/1. Suppose y - 6 = j. Solve 3*w + 4*b = 13, w - b + j = -4*w for w.
-1
Let q(c) = c**2 + 7*c + 10. Let l be q(-7). Suppose -52*a - 44940 = -24*a. Let b = 1608 + a. Solve 4 = 3*v - 2*v - b*d, 5*v - 5*d - l = 0 for v.
1
Let q = 2 - 0. Let f be (5/(-4))/(19/(-76)). Suppose q*l = f*i, -i = l + l. Solve 2*o - 3*x + 21 = -i*o, -o = 2*x - 7 for o.
-3
Suppose 3*k + 32 = 6*k + a, -44 = -3*k + 2*a. Let q be k - (-2 + 6 + -8). Let v = q - 12. Solve -v*f - 8 = 0, 3 = -6*p + 3*p - 3*f for p.
1
Let y = 6425 - 6417. Solve 6 = m + 2*n + 7, 4*n = 4*m - y for m.
1
Let s(y) = 6*y**2 + 5*y + 6. Let k be s(-1). Suppose -16 = -k*l + 12. Solve 3*c - z = 2, c = -2*c + l*z + 17 for c.
-1
Suppose 5*w = -4*c + 29, 4*c = -5*w + 10*w - 21. Solve -o - 1 = 3*x + c, -4*x - 3 = o for x.
-1
Let s(i) = i**2 + 3*i - 16. Let t be s(4). Let y be t*1 - 6/3. Let r = 10 - 6. Solve 5*z = p - y, -r = -2*p + 5*z - 3*z for p.
0
Suppose -1232 = 237*f - 5498. Solve -6*z + 5*z = -5*s + f, 5*s + 2*z = 24 for s.
4
Suppose -11595*a = -11621*a + 156. Solve 4*t + d - 17 = 0, t + d - a = -d for t.
4
Let r be (-9)/(-5) - (-132)/110. Solve -3*l = 4*d + 7 + 5, -d - r = l for d.
-3
Let t(v) = -v**3 + 30*v**2 + 93*v + 203. Let p be t(33). Solve 51*c = p*o + 50*c + 38, 0 = 5*c + 10 for o.
-8
Suppose -21*l + 16 = -236. Suppose -8*q - 12 = -l*q + c, c = -2*q + 6. Suppose -2 = -3*j + 2*j. Solve -q*o + 4 = -7*o, 2*i + 2*o - j = 0 for i.
2
Let m(l) = 3*l + 50. Let h be m(-15). Solve 0 = -d + 3*b - 5, -10*d + h*b + 1 = -13*d for d.
-2
Let d = -6599 + 6599. Let m(h) = -2*h - 3. Suppose -12 = 4*p - 2*u, 5*p = -u + 4*u - 14. Let x be m(p). Solve 4*l = -a - 8, d = x*l - l + 8 for a.
0
Let s(q) = q**2 + q - 4. Let z = -16 - -11. Let o(b) = -b**2 - 5*b - 3. Let a be o(
|
{
"pile_set_name": "DM Mathematics"
}
|
*4)**2.
-1824*sqrt(13) + 675808
Simplify ((sqrt(306) - (sqrt(306) + -4*sqrt(306)*-2 - sqrt(306)))/(sqrt(6) - sqrt(726)*-1))/(-1*(sqrt(363)*-1 + sqrt(363)) + 2*sqrt(363)*-4).
7*sqrt(17)/1056
Simplify (5 + (1 + -3 + -1*sqrt(1573) - (-1 + sqrt(1573) + -5 + 3)) + 0)**2*-2.
-12656 + 528*sqrt(13)
Simplify 3 + (sqrt(70)/((sqrt(10) + sqrt(640))*1)*-2 - (sqrt(252)*2 + (sqrt(7) - (-2 + sqrt(63)))))**2.
368*sqrt(7)/9 + 59815/81
Simplify 2*((sqrt(128) - (-5*2*sqrt(128) + sqrt(128))**2) + (-5*(2 + sqrt(128)) - sqrt(128))**2)*4*-2.
-15488*sqrt(2) + 90560
Simplify (sqrt(77) + sqrt(77)*-1*-2 + -5*sqrt(77)*2)/(-2*(sqrt(11) - sqrt(99)/(sqrt(9) - (sqrt(9) + 1*sqrt(9))) - sqrt(110)/(sqrt(10)*2 + sqrt(10)))).
21*sqrt(7)/10
Simplify (3 + (sqrt(8)/sqrt(4))**2 - (-1 + sqrt(2) + 2)) + -3 - ((4*sqrt(600))/sqrt(12) + -5).
-21*sqrt(2) + 6
Simplify ((3*sqrt(539) + 0)*6 - (-2 + (sqrt(11) - (-2 + sqrt(11))) + sqrt(11) - sqrt(22)/(1*sqrt(2)))*-6)**2.
174636
Simplify (sqrt(175)/((sqrt(15) + sqrt(1215))/sqrt(3) - sqrt(5) - sqrt(5)))/(-3*sqrt(180)*6).
-sqrt(7)/864
Simplify ((-2 + sqrt(704) + 3)*1 + sqrt(704)*-2 + 2 + sqrt(704)*-2 + -5 + 2)**2 + -1.
6335
Simplify 5 + 6*(sqrt(84)/(-1*sqrt(567)))/(sqrt(8)/(sqrt(242) + sqrt(242)*-1 + sqrt(242))).
-22*sqrt(3)/3 + 5
Simplify -3 + (-3*2*sqrt(18) + sqrt(18) - (-2*sqrt(2178) + sqrt(2178))) - ((sqrt(144) - (1*sqrt(144) - sqrt(144)))*3 - sqrt(144))/(-1*sqrt(8)*2).
-3 + 21*sqrt(2)
Simplify (sqrt(18)/sqrt(3)*-1 - sqrt(6))/((2*sqrt(12))/sqrt(4)) + -2*((sqrt(8))**2 + 2 + (sqrt(2) + (-1 + sqrt(2) - sqrt(2))**2)*5).
-30 - 11*sqrt(2)
Simplify (2 + 4*1*(1*sqrt(245) + 1 + (sqrt(245) - -1*sqrt(245)*-1 - sqrt(245)))*2)**2.
100
Simplify 2 + (-3*(sqrt(3500) - (sqrt(3500) + sqrt(3500)*2)))/(sqrt(7)*-2*3*-2)*-6.
-30*sqrt(5) + 2
Simplify ((2*(sqrt(242)/sqrt(11)*-4 - sqrt(22)))/(sqrt(54)/(sqrt(3) + sqrt(75)))*1)**2.
4400
Simplify (((1*sqrt(108)*3)/((sqrt(729) + 1*sqrt(729) + sqrt(729) - sqrt(729)) + sqrt(729)))/(-6*(sqrt(28)/(sqrt(28) - sqrt(7)) + sqrt(4))*4))**2.
1/62208
Simplify ((-4*(sqrt(156) - sqrt(156)*1) + -4*-1*sqrt(156))/(sqrt(36)/sqrt(3)*-2 + sqrt(12) - (sqrt(108)*2 + sqrt(108))/sqrt(9)))**2*5 + -2.
63
Simplify (6*(sqrt(38) - sqrt(190)/sqrt(5)) + 4*sqrt(190)/sqrt(5))/((-3*sqrt(96)/sqrt(4))/(sqrt(12)*2*-2)).
16*sqrt(19)/3
Simplify ((-2 + sqrt(1900) + -1)*-6 - ((sqrt(19) - (sqrt(1539) - (-1 + sqrt(1539)))**2) + (sqrt(342) + sqrt(38))/sqrt(2) + 2))*5.
-325*sqrt(19) + 85
Simplify ((sqrt(19) + sqrt(76)*-2 + 4*1*sqrt(19) - (sqrt(2736)*-1 + 4 + sqrt(2736) + 1 + 4)) + -3)**2.
-24*sqrt(19) + 163
Simplify (2*(2*sqrt(162) + -4 - sqrt(162))*4)**2 + 6*-2*((-1 + 1*sqrt(242))**2 - sqrt(242)).
-4212*sqrt(2) + 8476
Simplify ((2*sqrt(250)*-4 + 5*((sqrt(250) - 1*sqrt(250)) + sqrt(250)))/((sqrt(660)/(sqrt(44)/sqrt(4)))/sqrt(12)))**2.
450
Simplify 5*(2*sqrt(117)*-2*4)/(-6*(sqrt(9) + (sqrt(9) - -2*sqrt(225)) - sqrt(9))).
40*sqrt(13)/33
Simplify 2*(2 + (sqrt(1377) - (sqrt(1377) - (sqrt(1377) - -3*sqrt(1377))))**2*3) + (-4 + sqrt(1377)*-1)*-4*2.
72*sqrt(17) + 132228
Simplify ((sqrt(176) - (sqrt(176) - (sqrt(176) - -1*sqrt(176))) - sqrt(176))*5 - sqrt(176) - sqrt(176))/(-1*(4*sqrt(64) + sqrt(4))) + 0.
-6*sqrt(11)/17
Simplify (1 + (sqrt(1100) - (-2 + sqrt(1100)*3 - sqrt(1100))) - 6*5*sqrt(1100)*-3)**2.
5340*sqrt(11) + 8713109
Simplify (-2*(3*(1 + sqrt(1100) + sqrt(1100) + -3*(sqrt(1100) + 0)) - (-1*-2*(sqrt(1100) + 1) + 2)))**2.
400*sqrt(11) + 110004
Simplify (3*(3 + (sqrt(1200) - (1 + sqrt(1200) + (sqrt(1200)*-1 - sqrt(1200)) + sqrt(1200)) - ((sqrt(1200) - sqrt(1200)*2) + -4)))*-3)**2.
38880*sqrt(3) + 391716
Simplify 4 + (-2*sqrt(3328)*3*-1)/(-2*((sqrt(4) + sqrt(36))*1 - (sqrt(4) - sqrt(8)/(sqrt(2)*2)))).
-48*sqrt(13)/7 + 4
Simplify (sqrt(1800) + 5*sqrt(1800)*-4)/(-1*(-3*sqrt(384) + sqrt(384))).
-95*sqrt(3)/8
Simplify ((sqrt(120)*-2*-3)/(sqrt(10)/sqrt(20)))/((sqrt(24) + sqrt(48)/sqrt(2))/sqrt(2) - 2*sqrt(768)) + -3.
-3 - 6*sqrt(5)/7
Simplify sqrt(12)/(-1*sqrt(42)/sqrt(7)) + 5 + ((sqrt(2) + -3)*-2 - (sqrt(176)/sqrt(8))/sqrt(11)).
-4*sqrt(2) + 11
Simplify (6*sqrt(171)*2 - -3*(-1*sqrt(171) + sqrt(171)))/(((sqrt(45)*2)/sqrt(5) + sqrt(18)/sqrt(2)*3)*3) + 5.
4*sqrt(19)/5 + 5
Simplify (sqrt(360)*3)/(((sqrt(55)*3 + sqrt(55))/sqrt(11) - sqrt(5))*3).
2*sqrt(2)
Simplify (-2*sqrt(300))**2 - ((-1 + sqrt(3))*6 + sqrt(3)) - ((sqrt(432) + 1)*3 - 2*((sqrt(432) + sqrt(432)*1)**2 + sqrt(432))).
-19*sqrt(3) + 4659
Simplify ((4*sqrt(880) + sqrt(55))/sqrt(11) + ((sqrt(245) + 2)**2 - (sqrt(5)*2 + -4)**2) + -2)*6.
366*sqrt(5) + 1266
Simplify (-5*-5*((sqrt(11) + sqrt(539) + -1)*-6 + sqrt(396)/sqrt(4) + 5)*-3)**2.
-5568750*sqrt(11) + 125977500
Simplify -3*(5*-3*(0 + (-1 + sqrt(1331) - sqrt(1331)) + sqrt(1331))*6)**2*-6.
-3207600*sqrt(11) + 194205600
Simplify 2*(-6*(sqrt(76) - -1*-2*sqrt(76))*-4)/(1*(sqrt(972)*-2)/sqrt(3)).
8*sqrt(19)/3
Simplify (sqrt(38) - (sqrt(38) - 5*(sqrt(38) - (sqrt(38) + sqrt(950)))))/sqrt(72) + -3 + (sqrt(304) + -1)**2 + -5 + -1.
-73*sqrt(19)/6 + 296
Simplify 4*((6*-2*sqrt(147) + 2*(sqrt(147) + -1 - sqrt(147)) + 4)**2 + -5) + 5.
-1344*sqrt(3) + 84673
Simplify (sqrt(60)/(sqrt(6)/sqrt(2)) - (sqrt(20) + sqrt(20) + sqrt(140)/(sqrt(7)*-4)))/(-6*sqrt(8)/sqrt(2) - 1*sqrt(4)*2).
3*sqrt(5)/32
Simplify -6*(sqrt(60)*-2)/sqrt(12)*-1 + ((1*sqrt(80))/sqrt(8))/(sqrt(20)/(-1*sqrt(10))).
-13*sqrt(5)
Simplify 2 + (sqrt(196) - -3*3*sqrt(196))/((1*sqrt(90) + sqrt(10))/sqrt(5)).
2 + 35*sqrt(2)/2
Simplify ((sqrt(234)*-2*5)/(-3*sqrt(36)))/((5*(sqrt(4) + (sqrt(4)*2 - sqrt(4))))/(sqrt(200)/sqrt(4))).
5*sqrt(13)/6
Simplify (3*(sqrt(102)*2 + sqrt(102) - sqrt(102)))/(sqrt(54)/(-1*sqrt(9))) - (((sqrt(17) + 5)*4 - sqrt(17)) + (sqrt(2057) + -3)**2).
-2086 + 57*sqrt(17)
Simplify 0 + ((-1*-2*sqrt(132))/(sqrt(3) - 3*(sqrt(3) + -1*sqrt(3))))/(((sqrt(324)*-1)/sqrt(9))/(sqrt(144)*1)).
-8*sqrt(11)
Simplify 3*(2 + (sqrt(162) + (sqrt(162) + sqrt(162)*-2)*1 + sqrt(162) - (-1 + sqrt(162))*5))**2*-3*5.
-118845 + 22680*sqrt(2)
Simplify (((sqrt(80)*-1 - sqrt(5)) + sqrt(5) + 3)*6 - (-4 + sqrt(5)*-1 - (-3 + sqrt(5) + 3)))**2 + -5.
-968*sqrt(5) + 2899
Simplify ((sqrt(70) + sqrt(70)*-2)*2 - (sqrt(70) + sqrt(70)*1 + sqrt(70))*6)/(sqrt(120)/(sqrt(12) + 3*sqrt(12)) + sqrt(10) - sqrt(490)*-1).
-80*sqrt(7)/33
Simplify (-5*(sqrt(300) + -4 + sqrt(300) + 1))**2 + -2 + ((3 + sqrt(363) + sqrt(363)*-5)**2 + sqrt(363) - sqrt(363)).
-3264*sqrt(3) + 36040
Simplify -2 + sqrt(98) + -1 + (4*(sqrt(98) - (sqrt(98) - (3 + sqrt(98)))) + sqrt(98))**2 + 3*(-2 + -3 + sqrt(98))*6.
973*sqrt(2) + 2501
Simplify (-1 + sqrt(448) + 2 + sqrt(448) + (sqrt(448) + -3)*5 + sqrt(448) + sqrt(448))**2 - (sqrt(448)*5*3 - (4 + sqrt(448)*-6)**2).
-2520*sqrt(7) + 52628
Simplify (sqrt(28) - (sqrt(28) + 0)*1 - ((sqrt(7) - sqrt(28)/(sqrt(4)*1)) + sqrt(14)/sqrt(18))) + ((-5 + (2*sqrt(567) - sqrt(567)) + -5)*-2)**2.
-2161*sqrt(7)/3 + 2668
Simplify -2*(-5 + sqrt(252)/sqrt(9)) + 4 + sqrt(7) + sqrt(7) + (sqrt(343)*-1)**2 + ((sqrt(49)/(sqrt(28)/sqrt(4)))**2 - sqrt(7)).
-3*sqrt(7) + 364
Simplify (-5*(2 + -4*5*sqrt(1872))*2*-1)**2.
-96000*sqrt(13) + 74880400
Simplify 5*(((6*sqrt(66)*1*-2)/(-2*sqrt(864) - sqrt(18)/sqrt(3)*-6))**2 + -4).
40/9
Simplify (6*((-6*-1*sqrt(152) - sqrt(152)) + sqrt(152) - -2*(2*sqrt(152) - sqrt(152))))/((-3*(sqrt(96) + sqrt(96)*-2) + sqrt(96))/(6*(sqrt(12) + 1*sqrt(12)))).
144*sqrt(19)
Simplify ((0 + sqrt(175) + -5)*-2 + -1*sqrt(175) + -5 + (sqrt(175) - -2*(sqrt(175) + 2)))**2.
81
Simplify 6*2*sqrt(539) + -3 + sqrt(11)*-1*3 + (0 + sqrt(1331) + sqrt(1331) + -1 - (2*sqrt(77)*-2 + sqrt(77))/sqrt(7))**2.
31*sqrt(11) + 6873
Simplify -1 + 1*sqrt(448)*-2*-2 + sqrt(448) + sqrt(448) + -5*(sqrt(448) + 2) + -1.
-12 + 8*sqrt(7)
Simplify (-1 + sqrt(140)/sqrt(5))*1 - 3*(sqrt(567) - 5*(-2 + sqrt(567))).
-31 + 110*sqrt(7)
Simplify -2 + (sqrt(84)/sqrt(48) - (sqrt(112) + 4*sqrt(112)) - (sqrt(70)/(sqrt(10) - -2*sqrt(10)) - (sqrt(7) - (sqrt(847) + -5)))).
-179*sqrt(7)/6 + 3
Simplify (sqrt(65)*2*-4 - 2*sqrt(65)*2)/(1*(4*sqrt(180) - sqrt(180))) + 1.
-2*sqrt(13)/3 + 1
Simplify (-3*((-2*sqrt(144) + sqrt(144))/sqrt(4) - sqrt(324)/sqrt(81)))/(-6*(sqrt(12) - (sqrt(768) - sqrt(12))) - -3*((sqrt(108) - sqrt(12)) + sqrt(12))).
4*sqrt(3)/45
Simplify 3 + 2*((sqrt(475)*4 + -5 - sqrt(475) - (3*-1*sqrt(475) + sqrt(475))) + -2)**2.
-700*sqrt(19) + 23851
Simplify 0 + (3*(-2 + sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
l).
2*l + 2
Let q(a) = a**3 - 4*a**2 + 4*a - 6. Let m(c) = 9*c**2 - 4*c**3 - 9*c + 5 + 2*c**3 + 8. What is 4*m(b) + 9*q(b)?
b**3 - 2
Let n(i) be the third derivative of i**4/24 - i**3/6 + 2*i**2. Let d(g) = g. What is -d(c) - n(c)?
-2*c + 1
Let i(l) be the first derivative of l**2/2 + l + 15. Let a(y) = 3*y**2 - 4*y - 4. Calculate -a(h) - 4*i(h).
-3*h**2
Let a(w) = -w. Let c(d) = 1. What is a(x) + 3*c(x)?
-x + 3
Let k(h) = -4*h + 1. Let u(w) = -4*w + 2. What is 3*k(n) - 2*u(n)?
-4*n - 1
Let r = 28 + -19. Let y = r - 5. Let z(k) be the third derivative of k**4/3 + 11*k**3/6 + k**2. Let f(c) = 3*c + 4. Determine y*z(l) - 11*f(l).
-l
Let v(y) = y. Let x(h) = 1 - 7*h - 1 + h. Calculate -14*v(g) - 2*x(g).
-2*g
Let w(x) = x**2 + 1. Let q(l) = 6*l**2 - 4*l + 7. Calculate q(a) - 5*w(a).
a**2 - 4*a + 2
Let h = -31 + 21. Let q(t) = -7*t**3 - 3*t**2 - 5. Let s(l) = 3*l**3 + l**2 + 2. Give h*s(n) - 4*q(n).
-2*n**3 + 2*n**2
Let o(r) = -2*r + 1. Let g(b) = -b. Let j be -7*(8/7 + -2). Let a be j/(-3)*3/(-2). Suppose 4*f = a*q + 14, 5*f - q - q = 14. Determine f*o(d) - 5*g(d).
d + 2
Let x(b) = 8*b + 4. Let v(w) = -w + 1. Let m(p) = -3*v(p) - x(p). Suppose -2 = -l - 13. Let k(r) = 9*r + 13. What is l*m(y) - 6*k(y)?
y - 1
Let v(r) = -14*r + 1. Let m(l) = 71*l - 6. Calculate -2*m(k) - 11*v(k).
12*k + 1
Let p(q) = 19*q + 1. Let g(r) = 58*r + 3. Determine -2*g(v) + 7*p(v).
17*v + 1
Let m(d) = -3*d. Suppose 0 = 3*i + f - 2*f - 14, 2*i - 8 = 2*f. Suppose -5*j = i*o + 30, -2*o = 2*o + j + 21. Let z(g) = -g**2 - 5*g. Give o*m(c) + 3*z(c).
-3*c**2
Let f(v) = -9*v**2 + 3*v - 3. Let h(b) = 23*b**2 - 11*b + 11. Let k(o) = -116*o**2 + 54*o - 54. Let m(x) = -14*h(x) - 3*k(x). Give -8*f(c) - 3*m(c).
-6*c**2
Let n(l) = 4*l**2 - 2. Let f(h) = 4*h**2 + 0 - 4 + 1. Let o(v) = -2*f(v) + 3*n(v). Let q(w) = -9*w**2. Determine -5*o(d) - 2*q(d).
-2*d**2
Let v(s) be the third derivative of 5*s**4/24 + 5*s**3/6 - 37*s**2. Let i be (0 - 0) + -2*3. Let y(l) = l + 1. Determine i*y(b) + v(b).
-b - 1
Let x(d) = 2*d**3 + 4*d**2 + 7*d + 1. Let c(u) = 2*u**3 + 4*u**2 + 8*u + 1. Determine 5*c(h) - 6*x(h).
-2*h**3 - 4*h**2 - 2*h - 1
Let b(l) = 5*l**2 + l + 2. Let a(j) = 12*j**2 + 3*j + 11. Let t(p) = 4*p**2 + p + 4. Let v(c) = -3*a(c) + 8*t(c). Give 3*b(k) + 4*v(k).
-k**2 - k + 2
Let k(s) = -9*s + 5. Let d(t) = 8*t - 4. Calculate -4*d(c) - 3*k(c).
-5*c + 1
Let u be (4/6)/((-2)/3). Let l(f) = -f**3 + f**2 + 1. Let k(t) = -5*t**3 + 2*t**2 - 2*t + 3. Determine u*k(g) + 3*l(g).
2*g**3 + g**2 + 2*g
Suppose 3*s = 5*s - t - 4, -3*s + t + 5 = 0. Let j(k) = k**3 + 1. Let u(y) = 3*y**3 + 4. Give s*u(o) - 4*j(o).
-o**3
Let n(p) = -7*p**3 + 9*p**2 - p + 5. Let h(g) = -4*g + 4*g**3 + 3*g + 2*g - 5*g**2 - 3. Determine 5*h(s) + 3*n(s).
-s**3 + 2*s**2 + 2*s
Let x(w) = 4. Let r(v) be the second derivative of -v**3/6 + 9*v**2/2 - 9*v. Determine -2*r(l) + 5*x(l).
2*l + 2
Let z(y) = 7*y - 2. Let r(x) = -15*x + 4. Let h be 6 - 5 - -31*3. Let o be h/(-16) + (-2)/16. What is o*r(l) - 13*z(l)?
-l + 2
Let j(g) = 3*g**3 + 5*g**2 - 5*g - 4. Let f(l) = 4*l**3 + 4*l**2 - 4*l - 3. Calculate 5*f(c) - 4*j(c).
8*c**3 + 1
Let x(d) = d**3 - 3*d**2 + 6*d + 5. Let o(m) = 3*m**3 - 7*m**2 + 13*m + 11. Give 3*o(i) - 7*x(i).
2*i**3 - 3*i - 2
Let l(t) = -4. Let o(k) = -3*k + 14. Let c(r) = -4*l(r) - o(r). Let j(y) = 2*y + 1 - 3*y - 2. Calculate -2*c(z) - 4*j(z).
-2*z
Let m = 3 + -1. Let u be m - (-1 + (2 - 4)). Let f(t) = t**2 + 3. Let c(g) = g**2 + 5. What is u*f(j) - 3*c(j)?
2*j**2
Let w(f) = -5*f + 4. Let x(l) = 4*l - 3. Let c(j) = 6*j + 2*j**2 - 4*j**2 - 6*j**2 + 7 + j**3. Let h be c(7). Suppose 5 = -h*r + r. Calculate r*w(y) + 6*x(y).
-y + 2
Let k(c) = -c**2 + 3*c. Let i = 5 + -14. Let m(n) be the first derivative of 5*n**3/3 - 13*n**2/2 - 50. Determine i*k(h) - 2*m(h).
-h**2 - h
Let q(z) = 1. Let w(f) = -2*f**2 - 2*f - 6. Let g = -4 + 0. Determine g*q(p) - w(p).
2*p**2 + 2*p + 2
Let g(x) = 8*x**2 + 14*x - 10. Let v(a) = -a**2 - a + 1. Give -g(c) - 10*v(c).
2*c**2 - 4*c
Let n(y) = -4*y**2 + 13*y. Let f(w) = -w**2 + 4*w. Let k be (-24)/(-84) + 47/7. Give k*f(z) - 2*n(z).
z**2 + 2*z
Let r(u) = -2*u + 4. Suppose -5*v = f - 6 - 19, -4*f + 8 = -3*v. Let h(l) = -8. Let c(p) = -p + 23. Let a(t) = 3*c(t) + 8*h(t). Give f*r(k) - 4*a(k).
2*k
Let q(y) = y**3 + 3*y**2 + 5. Let w(d) = d**3 + 4*d**2 + 4. What is -4*q(p) + 5*w(p)?
p**3 + 8*p**2
Let c(j) = -25*j + 1. Let p(w) = -74*w + 4. What is -7*c(r) + 2*p(r)?
27*r + 1
Let x(v) = -17*v - 14. Let l(u) = -11*u - 9. Let a = -92 + 97. What is a*x(g) - 8*l(g)?
3*g + 2
Let k(u) = 2*u - 14. Let g(n) = 5*n - 29. Calculate -3*g(w) + 7*k(w).
-w - 11
Let o(i) = 74*i**3 - 8*i**2 - 8*i - 8. Let x(w) = -25*w**3 + 3*w**2 + 3*w + 3. Determine 3*o(u) + 8*x(u).
22*u**3
Let h(x) = 5*x + 4*x - 4*x - 4*x. Let i(y) be the second derivative of y**3/2 + 3*y. Give 4*h(j) - i(j).
j
Let k(h) = 1. Let p(y) = 51*y + 153. Calculate 153*k(d) - p(d).
-51*d
Let r(p) = 16*p**2 + p**2 - 14*p**2. Let b(m) = -14*m**2. Give -2*b(s) - 11*r(s).
-5*s**2
Let u(t) = 15*t + 23. Let x(v) = -5*v - 8. Determine -6*u(d) - 17*x(d).
-5*d - 2
Let k(n) = -n**2 + 1. Let y(d) = 5*d**2 - 6*d - 1. Determine -4*k(q) - y(q).
-q**2 + 6*q - 3
Let w(j) = 11*j**2 - 2*j + 2. Let f(z) = 34*z**2 - 7*z + 7. Determine -6*f(v) + 21*w(v).
27*v**2
Let s(z) = -z - 7. Let o(w) = -w - 8. Suppose 3*f - 75 = 8*f. Let d be 0 + (-1)/((-3)/f). Calculate d*o(n) + 6*s(n).
-n - 2
Let o(t) = -3*t. Let m(k) be the first derivative of k**2 + 7. Give 5*m(s) + 3*o(s).
s
Let o(r) = -r**2 + 3*r. Let y(w) = -2*w**3 + 7*w**2 - 8*w + 1 + 2 + 3*w**3. Let u be y(-8). Let x(h) = h - u*h + h. Determine o(j) + 3*x(j).
-j**2
Let d(o) = 8153*o. Let m(i) = -31*i. Calculate 6*d(z) + 1581*m(z).
-93*z
Let g(o) = -2*o - 7. Let u(s) = 3*s + 13. Let a(w) = -5*g(w) - 3*u(w). Let y(z) = 2*z - 5. Calculate 5*a(f) - 4*y(f).
-3*f
Let y(a) = a**2 + 5*a - 2. Let k(x) be the second derivative of 0 + 7*x + 7/3*x**3 + 1/6*x**4 - 3*x**2. Determine 3*k(p) - 8*y(p).
-2*p**2 + 2*p - 2
Let a be 12/18*9*1. Suppose 0 = -2*q - 2*q - 32. Let h be (51/(-2))/(a/q). Let s(y) = y**2 - 3*y. Let k(t) = 6*t**2 - 17*t. Calculate h*s(w) - 6*k(w).
-2*w**2
Let g(f) = 2*f**3 + f**2 + 3*f - 1. Suppose 2*o + i = -3, -11 = -o + 8*i - 6*i. Let y(v) = v**3 + v. What is o*g(r) - 3*y(r)?
-r**3 + r**2 - 1
Let o(f) = -38*f**3 - 4*f**2 - 4*f. Let r(c) = 1634*c**3 + 171*c**2 + 171*c. Determine 171*o(a) + 4*r(a).
38*a**3
Let l(v) = 8036*v. Let y(k) = -47*k. What is -2*l(d) - 343*y(d)?
49*d
Let l(t) = -6*t**2 + 4. Let g(i) be the second derivative of -7*i**4/12 + 5*i**2/2 - 16*i. Determine 4*g(v) - 5*l(v).
2*v**2
Let m(n) = -n**2 + 2*n. Let z(l) = 4*l**2 - 7*l. Let u(g) = -g - 6. Let v be u(-10). Calculate v*z(s) + 14*m(s).
2*s**2
Let t(r) = -r**2 + r - 1. Let v(j) = j**2 + 5. What is 3*t(u) + v(u)?
-2*u**2 + 3*u + 2
Let z = -19 - -29. Let l = -5 + z. Let r(f) = -f**2 - 2 - 3 - f + l. Let w(b) = 2*b**3 - 4*b**2 - 4*b - 1. What is 4*r(k) - w(k)?
-2*k**3 + 1
Let a(l) = l**3 + l. Let c(j) = 2*j**3 - 3*j**2 + 6*j. Calculate 4*a(h) - c(h).
2*h**3 + 3*h**2 - 2*h
Let k(f) = -f**2 + 4*f + 2. Let p be k(5). Let s(u) = -2*u. Let t(j) = j - 2*j - j - 3*j. Calculate p*t(g) + 8*s(g).
-g
Let b(r) = 2*r**2 - 12*r + 12. Let d(k) = k**2 + k - 1. What is b(o) + 12*d(o)?
14*o**2
Let s(f) = 190*f. Let h(i) = -5*i - 27. Let z be h(-5). Let y(v) = 7*v. What is z*s(c) + 55*y(c)?
5*c
Let n(t) = -3*t**3 + 3*t + 3. Let b(r) = 3*r**3 + r**2 - 4*r - 4. Give -3*b(y) - 4*n(y).
3*y**3 - 3*y**2
Let q(y) = y**3 + 45*y**2 + 11. Let h(a) = 9*a**2 + 2. Give -11*h(f) + 2*q(f).
2*f**3 - 9*f**2
Let t(c) = -3*c**2 - 4*c + 7. Let g(m) = -7*m**2 - 9*m + 13. Determine -4*g(p) + 9*t(p).
p**2 + 11
Let m(r) = r**3 - 4*r**2 + 3. Let l be m(2). Let u(j) = 1 + 0 + 1 - j. Let y(d) = -2*d + 3. Give l*y(o) + 8*u(o).
2*o + 1
Let q(v) = -2*v - 7. Let j be q(-1). Let n(z) = -9*z**2 - 24*z. Let t(f) = -2*f**2 - 5*f. Give j*n(b) + 24*t(b).
-3*b**2
Let s(t) = -t. Suppose 8*o - 12 = 20*o. Let h(f) = -6*f - 2. What is o*h(a) + 4*s(a)?
2*a + 2
Let u = -8 + 14. Let z(r) = -15*r - 17. Let a be (-2)/3 + (-56)/(-12). Suppose 5*w = -5*y - 55, 3*y + a*w + 29 = -2. Let n(p) = -7*p - 8. Give u*z(g) + y*n(g).
g + 2
Let q(j) = j**2 - j - 1. Let p = 8 - 9. Let w(u) = -5*u**2 + 2*u + 2. What is p*w(a) - 4*q
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*a - 17, 9 = -3*z + a. What is the nearest to -0.1 in 1, z, 5?
1
Let q be (-1 - 9/(-7))*-1. Let y = 1.9 + -2. What is the closest to y in 5, 1, q?
q
Let x be 24*44/32*-2. What is the closest to -1 in -2, 2, x?
-2
Let s = 3.5 - 0.5. Let c = 0.7 - 0.8. Let j be 1 + 10*(-2)/14. What is the closest to c in j, s, -0.3?
-0.3
Let i = -41597/2 - -436624/21. Let h = -43/6 - i. What is the closest to h in -0.3, 4, 1?
-0.3
Let f = -0.9 + 1.1. Suppose 13*o = 8*o - 5. What is the closest to 3 in o, f, 2?
2
Suppose -s + 0*s = -5*l + 35, 5*s + 3*l + 147 = 0. Let p = -448/15 - s. Which is the nearest to 1? (a) -1 (b) p (c) -4
b
Let t = -0.4 - 0.1. Let o = -0.19 - -0.19. What is the closest to o in t, -3, 5?
t
Let z(g) = -g**3 - 9*g**2 - g - 9. Let t be z(-9). Let n = -1 + 5. Which is the nearest to t? (a) n (b) 0 (c) -0.4
b
Let z = -54.7 - -55. What is the nearest to z in 0.3, -1, 0.4?
0.3
Let g = -3823/17 - -225. Let f = 0.7 - 0.6. Let s = -2.98 - 0.02. What is the closest to 0.1 in s, g, f?
f
Let y = 3 - 3.5. Let s = 35 + -34.9. Which is the closest to s? (a) y (b) 0.4 (c) 2
b
Let n = 25.9 + -26. What is the nearest to 0.1 in -3, n, 25?
n
Let z = -17024/381 - -134/3. Let v = z - 1135/508. Let r = v - -31/12. What is the closest to -1/4 in -4/5, r, 5?
-4/5
Let h(o) = -o**3 + o**2 - o + 5. Let r be h(0). What is the closest to 0.1 in 0.4, r, -2/17?
-2/17
Let t = 4.3 + 0.7. Let u = t + 0. Let s = 4.7 - u. Which is the nearest to -1? (a) s (b) -1/3 (c) 1
b
Let z = -0.1 + -0.9. Let c = 0.9 + z. Let l be (24/36)/((-8)/21) + 2. What is the nearest to 1 in c, -4, l?
l
Let q = 2.1 + -0.1. Let k = -1.75 + q. Let w = k + 0.05. Which is the nearest to w? (a) -1/5 (b) 1/4 (c) -1
b
Let h = -11.2 - -9. Let m = 0.2 + h. What is the closest to -3/5 in 0, m, -5/3?
0
Let h = 4.05 + -0.05. Let x be 2*1*(-6)/(-9). What is the closest to -1/4 in x, h, -4/7?
-4/7
Let u(j) = j**3 - 3*j**2 + j + 1. Let i be u(2). What is the nearest to 2/7 in 0, i, 4/5?
0
Let t = 46 - 416/9. What is the closest to -1 in t, 2/7, 5?
t
Let v = 55.9 + -56. Which is the nearest to v? (a) -5 (b) 5 (c) -12
a
Let j = 0.9 + -4.9. Let y = j - -5. Let u = 28 + -27.7. Which is the nearest to y? (a) 2/11 (b) 0.2 (c) u
c
Let w be (0 + -2)/(15 + (2 - 4)). Which is the closest to -0.1? (a) -0.5 (b) 0 (c) w
c
Let q = -1 - 2. Let h = -110 - -547/5. What is the nearest to 1 in 4, q, h?
h
Let y(h) = h + 1. Let w(r) = -3*r + 12. Let f be w(5). Let j be y(f). Let a = -1613/9 - -179. What is the nearest to j in 3, a, 1/5?
a
Suppose -4*y = -5*a + a - 4, -3*a - 2 = -4*y. Let o = y - -2. Let j = 6 + -4. What is the nearest to 0 in j, o, 2/11?
2/11
Let r = -12 - -1. Let t = 7 + r. Let h = 10/3 - 43/12. What is the nearest to -1 in h, t, 0.4?
h
Let w be (-2)/(-7) - (-288)/(-420). What is the closest to w in -1/3, 2/5, 3/8?
-1/3
Let x = 2.3 - -0.7. Let h = x - 2.7. Let q = h + -0.4. What is the nearest to -0.1 in -1, 2, q?
q
Let h = -137549/34 + 4046. Let c = 1/17 + h. What is the closest to -1/4 in c, 3/8, -2/5?
-2/5
Let x = -33 - -229/7. What is the nearest to 2/7 in 1, x, 2/5?
2/5
Let g = -53.1 + 53. Let f be -1 + 3 + 9/(-2). Which is the closest to 1? (a) f (b) 2/15 (c) g
b
Let f be ((-1)/6)/(6/(-8)). Let i = 19.3 - 12. Let n = i - 7. Which is the nearest to -1/4? (a) -3 (b) n (c) f
c
Let g = 3 - 2. Let w = -3 + g. Let r = 1.8 + w. What is the closest to -1 in r, 2/13, 4?
r
Let f = 1.398 - -0.002. Which is the nearest to f? (a) 2 (b) -3 (c) 1
c
Let u = 0 + -2. Let r = u - -1.5. Let f = 403 - 402. Which is the nearest to f? (a) -0.3 (b) 0.3 (c) r
b
Let w = 3 - 2.9. Let h = -1.7 + 2. Let r = -1418/7 - -202. What is the closest to w in h, -2, r?
h
Let h be (171/42 + -4)*-4. Which is the closest to h? (a) -5 (b) -1/4 (c) 1
b
Let l = -116/441 - -2/49. What is the nearest to 2 in l, 5, 0.5?
0.5
Let s = -10.9 - -9.9. Let d(g) = -g**2 + 5*g - 5. Let k be d(5). What is the closest to 0 in s, k, -0.5?
-0.5
Let x = -4.3 - -4. What is the nearest to -3 in -1/3, x, -1/7?
-1/3
Let s = -30.1 + 29.6. Let k = 0.1 + -0.1. Let p be (6/(-2))/((-6)/(-4)). What is the closest to p in k, -5, s?
s
Let w(j) = j - 9. Let v be w(9). What is the nearest to -1 in v, 1/7, -4/7?
-4/7
Let v = 122 - 121.9. Which is the nearest to 3? (a) -4 (b) v (c) 4
c
Let h = 13.32 + -13. Let v = h - 0.02. Let f be (-2)/(-6) + (-26)/42. What is the closest to f in 0.2, 1/11, v?
1/11
Let t = -0.07 + 3.07. What is the closest to 1 in -2/11, 5, t?
-2/11
Let y = -2/29 - 52/87. Which is the closest to y? (a) -0.4 (b) 2/5 (c) -2/9
a
Let l(s) be the third derivative of s**5/60 - s**4/4 - 5*s**3/6 - 2*s**2. Let n be l(7). Which is the nearest to -1? (a) -0.3 (b) -3 (c) n
a
Let a = 124 + -128. Let y be (-2)/(-3 - -1) + 1. What is the nearest to 1 in y, 0.4, a?
0.4
Let n = -0.4 + 0. Let q = -1.64 + -1.36. Which is the closest to q? (a) -0.3 (b) n (c) -1
c
Let w = 5 + -4. Let o be -3 + (1 - w)/(-2). Which is the closest to -1? (a) 5 (b) -5 (c) o
c
Let v = 1.6 - 1.2. What is the closest to -1/3 in -1, v, 2/3?
-1
Let o = 0.2 - 0.2. Let f = 0.2 - o. Let x = -358 + 360. What is the closest to f in -5, x, 1?
1
Let l = -4.27 + 4.07. Let f = 3 + -11. Which is the closest to 1? (a) -2/3 (b) f (c) l
c
Let x be (4/5)/(4/(-2)). Let u = -50 + 50.2. What is the nearest to x in -2/11, u, 2?
-2/11
Let r = -1.9 - -2. Let b = 2/123 + 113/615. What is the closest to -0.1 in 0, b, r?
0
Let i be 2/(-3)*18/(-4). Which is the closest to -0.1? (a) -2/3 (b) i (c) 2
a
Suppose -20 = -0*o + 4*o. Let v = -9 - o. Let u = -0.8 + 1.2. What is the nearest to 1 in u, 3/7, v?
3/7
Let i = 1 + -2. Let n = i + -2. Let p = -2 - -3. Which is the closest to p? (a) n (b) -1/6 (c) 0.1
c
Let a(v) = -2*v**2 + v + 4. Let s be a(2). Let z = 1.3 - 6.3. What is the nearest to 2/7 in -0.1, s, z?
-0.1
Let h be 6/(-18) + ((-98)/(-78))/7. Let v = -0.06 + -3.94. Which is the nearest to -0.3? (a) h (b) v (c) -5
a
Let d(i) = -i**2 + 5*i + 8. Let f be d(6). Suppose -f*h + 2 = -2*r - 2*r, 5*h - r - 23 = 0. Suppose -x = x. Which is the nearest to -1/3? (a) x (b) h (c) 4
a
Let p = -40/147 + -2/147. Let x be 0/(-1) + 0 + 1. Let m = 0 - 0. Which is the nearest to m? (a) 1/3 (b) p (c) x
b
Suppose -7*x + 5*x = 2. What is the closest to x in 1, 3/4, -2/3?
-2/3
Suppose -29*q + 24*q - 25 = 0. What is the closest to 2/3 in 4, q, -2?
-2
Suppose d - 6 = -d. Let m be 30*(6/9)/(-1). Let j be m/12 + 2/d. Which is the nearest to -1? (a) -2/7 (b) j (c) 0
b
Let p be (-2)/(-4) - 21/18. Let g = 0 - 0. Suppose 4*l - f - 16 = g, 0*l - 2*f - 12 = -4*l. What is the closest to p in 4/7, l, 0.4?
0.4
Let g = 104 + -518/5. Which is the closest to g? (a) -2/3 (b) -5 (c) 2/23
c
Let u = -1 + -1. Let k(j) = j**2 - 5*j**2 - 1 + 0*j**2 + j**3. Let x be k(4). What is the nearest to x in u, -3, -4?
u
Let v be ((-2)/3 - -1)*-2. Let z be ((-220)/(-54) - 4)*3. What is the nearest to v in 0.5, z, 5/4?
z
Let i = 0.4 - 1.5. Let d = i + 0.1. Let v be 4/7 + 2/(-7). Which is the closest to v? (a) d (b) 0.5 (c) -0.3
b
Let q = 0.285 + 0.015. Let l = 0.2 + -0.1. Which is the closest to l? (a) q (b) -4 (c) 1
a
Let h = 1 - 1. Let k = h - -0.2. Let x be (-11)/(-4) + (-20)/10. What is the nearest to k in 0.5, x, -4/5?
0.5
Let x = 1.6 - 2. Let r = -0.9 - x. Let i = -44/5 - -171/20. Which is the nearest to 1/2? (a) r (b) i (c) 1
c
Let r = 61.9 + -62. Which is the closest to r? (a) -1/7 (b) 0.2 (c) 3/4
a
Let s = -65 - -67. Which is the nearest to 0? (a) 4 (b) s (c) -3
b
Let v be 3/15 + 18/(-40). Which is the nearest to v? (a) -0.1 (b) -0.3 (c) -0.7
b
Let l = -2.1 - -2.5. What is the nearest to 0 in -0.5, 0.1, l?
0.1
Let j = 0.57 + 0.03. Let p = j + -0.2. Suppose 3*v + 7 = -8. What is the nearest to 2/3 in p, -3, v?
p
Let c = -0.33 + 0.54. Let x = c - -0.09. Let y = 1.2 - 0.2. What is the closest to y in x, 3, -0.2?
x
Suppose 0 = -2*p - 2*p - 4, -4*z - p = -7. Suppose 0*g = -2*g - z. Let q = g - 0. Which is the closest to q? (a) -2/5 (b) 4 (c) 0.4
a
Let h = -0.2 + -0.3. Let j = -0.4 - -0.3. Which is the closest to j? (a) -2 (b) h (c) 2
b
Suppose 0*f = -3*s - 2*f + 8, -4*s = 2*f - 10. Let u = -2/15 - 1/5. Let r = 0.4 + -0.3. Which is the closest to r? (a) -0.2 (b) s (c) u
a
Let h =
|
{
"pile_set_name": "DM Mathematics"
}
|
3/(4 + (-44)/8). What is the hundreds digit of (((-7668)/63)/3)/(q/7)?
1
Let p = 5672 - 3285. Suppose 4*n - 24758 = -24742. Suppose n*v = -7*v + p. What is the units digit of v?
7
Let z(r) = 512*r + 1028. Let c be z(-2). Suppose 0 = -s + 10 - 2. Suppose -5*p + c*q = -195, s = -3*q - 7. What is the units digit of p?
5
Suppose 0 = -248*g + 807580 + 2060292. What is the ten thousands digit of g?
1
Let h(y) = y**3 + 4*y**2 + 8*y + 18. Let g(r) = -2*r**3 - 9*r**2 - 17*r - 36. Let o(f) = 3*g(f) + 5*h(f). What is the tens digit of o(-7)?
5
Suppose -5*l - 5*q + 42360 = 0, 13056 = 2*l - 3*q - 3893. What is the tens digit of l?
7
Let w(h) = -1 + 187*h + 18 + 9 + 0 + 10. What is the units digit of w(5)?
1
Suppose 0 = -g + 5, 0*g - g = k - 12. Suppose -12 = -o - k. Suppose -2*l + 5*r - 18 = -4*l, -3*l - o*r = -37. What is the tens digit of l?
1
Let u = 37 + -35. Suppose 3*g = u*g - 17. Let n(k) = k**2 + 14*k - 1. What is the tens digit of n(g)?
5
What is the tens digit of 1 + 18589/3 + 228/(-684)?
9
Let a = 60 + -51. Suppose 8*b + 2 = a*b. Suppose 354 = -b*d + 5*d. What is the tens digit of d?
1
Suppose 0 = -16*a + 20*a - v - 23751, -12 = 4*v. What is the thousands digit of a?
5
Suppose -8*t - 2338 = -22*t. What is the units digit of (t/(-3))/(208/24 + -9)?
7
Suppose -5*d + 8*d - 3*q - 29286 = 0, 19482 = 2*d + 5*q. What is the units digit of d?
6
What is the tens digit of 24/(-3) - (41587/(-13))/(2/22)?
8
Suppose -3*n + 28450 = 5*p, n + 330*p - 9502 = 326*p. What is the hundreds digit of n?
4
Let p(c) = -14*c + 20. Suppose 7*w - 8 + 8 = 0. Suppose g - 2*u = 0, 21 = -3*g - w*u - u. What is the units digit of p(g)?
4
What is the thousands digit of 52/65 + 5209*45/25?
9
Let g(c) = 58*c - 1 + 6 - 3 - 3. Let w(v) = -v**3 + 6*v**2 + 1. Let m be w(6). What is the units digit of g(m)?
7
What is the tens digit of (2/(-3))/(156/(-634374))?
1
Suppose 3*l + 58608 = 3*b, 32*l - 78147 = -4*b + 37*l. What is the thousands digit of b?
9
Let y(x) = 968*x - 1780. What is the thousands digit of y(7)?
4
Let i = -4406 - -9717. What is the hundreds digit of i?
3
Let x(g) = -1489*g + 12 + 1535*g - 8. What is the hundreds digit of x(5)?
2
What is the thousands digit of (0 + 100/(-35))/((-2)/3479)?
4
Let j = -7980 - -25293. What is the hundreds digit of j?
3
Let g = 292 + 10249. What is the tens digit of g?
4
Let s(w) be the second derivative of -1/20*w**5 + 0 - 20*w + 2/3*w**3 + 1/3*w**4 - w**2. What is the tens digit of s(-4)?
1
Suppose 2*p + 4*c = -10 + 26, p - 17 = -5*c. Let x be (-1)/(4*p/1128). Let g = -70 - x. What is the units digit of g?
1
Let z = -43 - -45. Let j be (-3 + (z - -1))/2. What is the hundreds digit of (465/(-12) + j)*-4?
1
Suppose -21*k = -19*k. Suppose l + 4*a - 198 - 70 = k, -2*l + 4*a = -524. What is the units digit of l?
4
Let d = -73 + 40. Let i be d/11 - (55 - 1). Let g = -35 - i. What is the tens digit of g?
2
Let l = 65 + -61. Let o(z) = -2*z**2 + 9*z + 1. Let n be o(l). Suppose 5*g - 3*y + 100 = 6*g, -480 = -5*g + n*y. What is the tens digit of g?
9
Let n be (16/(-28))/(4/14). What is the thousands digit of (8 + (-18185)/10)*n/3?
1
Let k be 242/16 + (-46)/368. Suppose 0 = -k*f - f + 6672. What is the hundreds digit of f?
4
What is the thousands digit of -1 + (3 - (56/(-7) - 5154))?
5
Let q be ((-5)/5 + 2 + -1)/2. Suppose q = -4*d + 11 + 5. What is the units digit of d*(2/4)/(9/531)?
8
Let w(y) = -13*y**2 + 2*y - 3. Let c be w(2). Suppose 3*n - 26*n + 145 = -292. Let g = n - c. What is the units digit of g?
0
Let n be 6/9*(-126)/(0 - 2). Suppose 10*t - n = 3*t. What is the units digit of 109 - 1*t/6?
8
Let c(y) = 14*y - 35. Let d be c(3). Suppose 4*g + d*p = 3*p + 260, -263 = -4*g - 3*p. What is the units digit of g?
8
Let j = 8443 - 3024. What is the thousands digit of j?
5
Suppose -44*z - 28*z = -8*z - 720576. What is the thousands digit of z?
1
Suppose -29 = b - 2*m, 0 = -0*b + 2*b + 3*m + 93. Let p be 1*13/b*9*1. What is the hundreds digit of 6/p*246/(-4)?
1
What is the units digit of (-1829520)/(-135) + (-1)/(-1)?
3
Suppose -400*p + 644090 + 233910 = 0. What is the thousands digit of p?
2
What is the tens digit of (17 - 20)/((-1)/2497)?
9
Let w(a) = -45 - 9 + 60*a + 11 - 84 + 5. What is the hundreds digit of w(20)?
0
Let g = 114749 - 66436. What is the ten thousands digit of g?
4
Suppose 0 = 388*p - 11217746 - 3288798. What is the tens digit of p?
8
What is the hundreds digit of (1/(-16) + 2149787/(-1104))*-3?
8
Let m(d) be the second derivative of 13/6*d**3 + 6*d + 0 + 9*d**2. What is the units digit of m(7)?
9
Let m = 66 - 63. What is the units digit of (-308)/(-6)*(m + (-9 - -9))?
4
Let s = -10110 - -17130. What is the hundreds digit of s?
0
Let s(m) = -m**3 + 12*m**2 + m - 16. Let r be s(12). Let z be 3*(1 + 40) + r. Suppose z = 2*l - 49. What is the tens digit of l?
8
Suppose -l + 3*r + 8139 = 0, 117*l + 2*r = 115*l + 16294. What is the hundreds digit of l?
1
Suppose 2*x - 4*d = 96602, -x + 6*x = -3*d + 241518. What is the ten thousands digit of x?
4
What is the tens digit of (-13)/((-208)/(-32))*(-266607)/6?
6
Let x = 34800 - 662. What is the tens digit of x?
3
Let x(p) = -68 + 22*p - 97 - 7*p - 51*p - 65*p. What is the hundreds digit of x(-10)?
8
Let q = 70342 + -35322. What is the units digit of q?
0
Let j = -249 - -250. Let h(a) = -a. Let f(n) = -8*n + 2. Let b(t) = -f(t) + 4*h(t). What is the units digit of b(j)?
2
Suppose 2*l = 3*b, -4*b + 3*l - 2*l = -5. Let w = 56 - b. What is the tens digit of w?
5
Let t(s) = 275*s**2 + 30*s + 302. What is the thousands digit of t(-7)?
3
Let a(t) = 10*t**2 + 10*t - 70. Let z be a(11). Suppose 3909 = 4*d - 3*v, 5*d + 5*v + z = 6110. What is the tens digit of d?
7
Let u be ((-10)/4)/(-2 + 6/4). Suppose -4*g = -5*c - 653 - 747, u*g - 1795 = -5*c. What is the tens digit of g?
5
Let b(j) = -19660*j + 1151. What is the ten thousands digit of b(-1)?
2
Suppose 39092 - 2716 = 8*m. What is the hundreds digit of m?
5
Let y be (3 + 0)/(5 + -3 + -3). Let m = y - -6. Suppose -5*a + 5*l = 4*l - 632, -136 = -a - m*l. What is the units digit of a?
7
Suppose -5*i = -u - 161, 0 = -3*i + 5*u - 9*u + 92. Suppose -i*g + 1800 = -29*g. What is the units digit of g?
0
Let g be (2 + 12/9)*(-3)/(-2). Let f be -3 - ((-221 - -2) + g + -8). Suppose f + 627 = 6*z. What is the units digit of z?
1
Let n(s) = -2416*s + 201. What is the hundreds digit of n(-21)?
9
Suppose -f + 3*s - 450 = -4*f, -2*f + 288 = -4*s. Suppose -f + 10 = -h - 2*k, -4*h - k + 566 = 0. Suppose b = -5 + h. What is the hundreds digit of b?
1
Let w(x) = 14*x + 28. Let g be w(-2). What is the tens digit of (g - 1) + (-7060)/(-10)?
0
Suppose 3*h + 4*u = 3959, -5312 = -3*h - h + 3*u. Let y = h - 925. Suppose -56 - y = -4*v. What is the units digit of v?
4
Let o(t) = 93*t**3 + 4*t**2 + 28*t - 17. What is the hundreds digit of o(6)?
3
Let s(q) = -3*q**3 - 3*q**2 + 10*q - 6. Let y be s(-7). Let t = -194 + y. What is the units digit of t?
2
Let n = -354 - -354. Suppose -3*o + 200 = -4*i, 3 = 3*i - n. What is the units digit of o?
8
Let v = 16 + -14. Let h = 232 + -131. Suppose v*g = h + 73. What is the units digit of g?
7
Let n be -1 + (1 - -2) + -2. Let o(m) = -m**3 + 2*m**2 + m + 148. Let h be o(n). Suppose -2*l + h = 4*b, -1 - 1 = 2*b. What is the units digit of l?
6
Let y(v) = v**3 - 107*v**2 - 562*v + 242. What is the tens digit of y(112)?
1
Suppose 32*c - 4*g = 35*c - 79530, 2*c - 3*g = 53020. What is the hundreds digit of c?
5
Suppose -26*k + 35876 + 31490 = 0. What is the units digit of k?
1
Let a = 6101 + 690. What is the thousands digit of a?
6
Let y = -1223 - -13082. Suppose 4*d + 3635 = y. What is the tens digit of d?
5
Suppose -11355 = -5*f - 5*z, 2267 = -2*f + 3*f - z. Let u = f - 987. What is the hundreds digit of u?
2
Let l be -1 + 96 - (4 - (-4 + 6)). What is the tens digit of 3 + (l - (-3 - 1))?
0
Suppose 5*z + 31 = 51. Suppose 2372 = 4*c - z*b - 0*b, -c + 575 = 5*b. What is the tens digit of c?
9
Let n(h) = -6341*h**3 - 10*h**2 - 3*h + 6. What is the hundreds digit of n(-1)?
3
Suppose -3*n + 5*q - 12 = 9, -5*q - 51 = 3*n. Let l = 92 - 101. What is the units digit of 2692/16 + l/n?
9
What is the hundreds digit of (-10)/(-4) + 2140700/200?
7
Suppose 0 = 92*v - 94*v. Suppose v = 4*x + 124 - 548. What is the units digit of x?
6
Let l(g) = -43*g**
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Is 38628 a multiple of 116?
True
Does 44 divide 396?
True
Does 233 divide 18407?
True
Does 15 divide 5670?
True
Is 48678 a multiple of 38?
True
Is 247 a multiple of 5?
False
Does 27 divide 2727?
True
Does 32 divide 14786?
False
Does 12 divide 909?
False
Is 46 a factor of 3450?
True
Is 2380 a multiple of 14?
True
Is 671 a multiple of 13?
False
Is 5546 a multiple of 16?
False
Is 26699 a multiple of 9?
False
Is 9 a factor of 279?
True
Does 2 divide 287?
False
Is 6912 a multiple of 72?
True
Does 29 divide 2117?
True
Does 41 divide 246?
True
Is 94 a factor of 6295?
False
Is 47 a factor of 25383?
False
Is 5 a factor of 7412?
False
Is 16326 a multiple of 136?
False
Is 1326 a multiple of 12?
False
Does 14 divide 1249?
False
Is 21 a factor of 4473?
True
Does 27 divide 270?
True
Is 444 a multiple of 18?
False
Is 6911 a multiple of 31?
False
Is 13286 a multiple of 182?
True
Does 31 divide 814?
False
Is 52410 a multiple of 6?
True
Is 11 a factor of 18188?
False
Is 1485 a multiple of 9?
True
Does 92 divide 8924?
True
Is 9320 a multiple of 20?
True
Is 534 a multiple of 89?
True
Is 42 a factor of 7666?
False
Is 8582 even?
True
Does 29 divide 70099?
False
Does 13 divide 689?
True
Is 9 a factor of 450?
True
Is 16916 a multiple of 22?
False
Is 2992 a multiple of 22?
True
Is 5 a factor of 90?
True
Is 4 a factor of 231?
False
Is 28411 a multiple of 56?
False
Does 88 divide 10824?
True
Is 10 a factor of 1143?
False
Is 9 a factor of 435?
False
Does 57 divide 1026?
True
Does 10 divide 3561?
False
Is 1242 a multiple of 54?
True
Does 7 divide 1942?
False
Is 13870 a multiple of 73?
True
Is 4 a factor of 116?
True
Does 39 divide 10374?
True
Is 5395 a multiple of 65?
True
Is 222 a factor of 47064?
True
Is 24887 a multiple of 100?
False
Is 25 a factor of 1050?
True
Does 9 divide 94914?
True
Does 10 divide 680?
True
Does 116 divide 8236?
True
Is 43 a factor of 77056?
True
Does 20 divide 5918?
False
Is 3638 a multiple of 9?
False
Is 6 a factor of 729?
False
Is 37919 a multiple of 53?
False
Is 883 a multiple of 6?
False
Is 36014 a multiple of 11?
True
Is 3094 a multiple of 105?
False
Does 46 divide 763?
False
Is 12 a factor of 2508?
True
Is 2552 a multiple of 31?
False
Is 25 a factor of 1175?
True
Is 7 a factor of 2591?
False
Does 51 divide 12717?
False
Is 70 a factor of 350?
True
Does 14 divide 37755?
False
Is 68 a factor of 527?
False
Does 20 divide 835?
False
Is 13447 a multiple of 17?
True
Does 146 divide 23683?
False
Is 935 a multiple of 55?
True
Is 1800 a multiple of 5?
True
Is 15 a factor of 33585?
True
Is 20640 a multiple of 129?
True
Is 21 a factor of 344?
False
Does 58 divide 16240?
True
Does 24 divide 216?
True
Is 6 a factor of 475?
False
Does 38 divide 161?
False
Is 42 a factor of 2524?
False
Does 2 divide 5483?
False
Does 24 divide 10361?
False
Is 3626 a multiple of 61?
False
Is 23 a factor of 42757?
True
Does 75 divide 975?
True
Is 16 a factor of 5512?
False
Is 11 a factor of 20100?
False
Does 5 divide 1362?
False
Is 1283 a multiple of 26?
False
Is 28 a factor of 168?
True
Does 24 divide 15468?
False
Is 224 a multiple of 16?
True
Is 114 even?
True
Is 310 a multiple of 31?
True
Is 1083 a multiple of 57?
True
Is 12220 a multiple of 26?
True
Does 37 divide 33417?
False
Does 16 divide 432?
True
Does 8 divide 15323?
False
Is 1225 a multiple of 5?
True
Does 68 divide 17408?
True
Does 10 divide 990?
True
Is 9783 a multiple of 17?
False
Is 5 a factor of 490?
True
Is 130 a factor of 22032?
False
Does 84 divide 2950?
False
Is 554 even?
True
Does 37 divide 8598?
False
Does 3 divide 172?
False
Is 22 a factor of 5456?
True
Is 615 a multiple of 13?
False
Does 112 divide 2240?
True
Does 14 divide 340?
False
Does 145 divide 56753?
False
Does 6 divide 2644?
False
Is 3516 a multiple of 25?
False
Does 56 divide 2400?
False
Is 12582 a multiple of 54?
True
Is 3 a factor of 434?
False
Is 24 a factor of 1163?
False
Does 17 divide 34?
True
Is 88 a factor of 27368?
True
Is 2093 a multiple of 106?
False
Does 3 divide 679?
False
Is 15 a factor of 4945?
False
Is 782 a multiple of 97?
False
Does 3 divide 1005?
True
Does 45 divide 1745?
False
Does 6 divide 164?
False
Is 26 a factor of 25607?
False
Is 44 a factor of 21164?
True
Is 17 a factor of 289?
True
Is 9 a factor of 61?
False
Is 5 a factor of 302?
False
Is 3569 a multiple of 78?
False
Is 23 a factor of 7895?
False
Does 4 divide 1599?
False
Is 82 a factor of 1476?
True
Does 28 divide 476?
True
Does 12 divide 612?
True
Does 87 divide 466?
False
Is 1571 a multiple of 13?
False
Is 57 a multiple of 57?
True
Does 3 divide 216?
True
Is 11990 a multiple of 95?
False
Does 9 divide 28472?
False
Is 22 a factor of 2244?
True
Is 7 a factor of 153?
False
Is 7 a factor of 535?
False
Is 8556 a multiple of 124?
True
Is 42276 a multiple of 23?
False
Does 44 divide 24361?
False
Does 15 divide 612?
False
Does 7 divide 32?
False
Does 5 divide 995?
True
Is 13545 a multiple of 53?
False
Is 26 a factor of 76682?
False
Does 14 divide 595?
False
Is 30 a multiple of 3?
True
Is 90 a factor of 25470?
True
Is 41695 a multiple of 24?
False
Is 16164 a multiple of 99?
False
Does 20 divide 37020?
True
Is 17 a factor of 75789?
False
Is 41 a factor of 33210?
True
Is 99 a factor of 41628?
False
Is 1009 a multiple of 30?
False
Is 9 a factor of 2268?
True
Is 14782 a multiple of 8?
False
Is 14 a factor of 525?
False
Does 19 divide 176510?
True
Does 22 divide 2061?
False
Is 55173 a multiple of 347?
True
Is 9517 a multiple of 9?
False
Is 88 a factor of 1096?
False
Is 17024 a multiple of 28?
True
Does 4 divide 5027?
False
Is 570 a multiple of 10?
True
Is 49 a factor of 4366?
False
Is 6 a factor of 5904?
True
Does 23 divide 1219?
True
Is 7873 a multiple of 66?
False
Is 28 a factor of 122?
False
Does 21 divide 23197?
False
Is 239 a factor of 104447?
False
Is 1257 a multiple of 19?
False
Is 111 a factor of 2936?
False
Is 17 a factor of 7990?
True
Does 17 divide 119?
True
Does 3 divide 106?
False
Is 83 a factor of 25269?
False
Does 72 divide 12520?
False
Does 3 divide 180?
True
Is 9044 a multiple of 119?
True
Does 5 divide 294?
False
Does 84 divide 252?
True
Is 3192 a multiple of 8?
True
Is 7 a factor of 283?
False
Does 13 divide 1885?
True
Is 22 a factor of 1105?
False
Is 2224 a multiple of 27?
False
Is 110 a factor of 32735?
False
Does 95 divide 1722?
False
Is 478 a multiple of 18?
False
Is 13 a factor of 1430?
True
Does 41 divide 44854?
True
Is 2585 a multiple of 10?
False
Does 49 divide 1225?
True
Is 9701 a multiple of 22?
False
Is 3 a factor of 970?
False
Does 138 divide 7866?
True
Is 41 a factor of 519?
False
Is 3648 a multiple of 24?
True
Is 23 a multiple of 23?
True
Is 33 a factor of 17144?
False
Is 20296 a multiple of 118?
True
Does 21 divide 16570?
False
Is 688 a multiple of 8?
True
Does 10 divide 6563?
False
Is 36 a multiple of 12?
True
Is 24616 a multiple of 36?
False
Is 916 a multiple of 20?
False
Is 13 a factor of 23205?
True
Is 1651 a multiple of 5?
False
Does 24 divide 720?
True
Does 12 divide 336?
True
Is 3267 a multiple of 12?
False
Is 21 a factor of 2495?
False
Does 15 divide 337?
False
Is 14355 a multiple of 45?
True
Does 82 divide 5386?
False
Does 21 divide 10055?
False
Is 861 a multiple of 26?
False
Is 3 a factor of 78?
True
Does 134 divide 76391?
False
Is 7 a factor of 21945?
True
Does 5 divide 4671?
False
Is 18 a factor of 10368?
True
Is 1262 a multiple of 3?
False
Is 77 a factor of 1390?
False
Is 42 a factor of 918?
False
Is 4 a factor of 18788?
True
Does 108 divide 3421?
False
Does 16 divide 5363?
False
Is 2049 a multiple of 3?
True
Is 2 a factor of 318?
True
Is 25 a factor of 677?
False
Is 11424 a multiple of 34?
True
Is 12 a factor of 15936?
True
Is 24691 a multiple of 265?
False
Does 5 divide 95?
True
Is 12 a factor of 14160?
True
Does 57 divide 5529?
True
Is 15 a factor of 68175?
True
Is 408 a multiple of 3?
True
Is 1121 a multiple of 30?
False
Is 14 a factor of 29624?
True
Is 12 a factor of 661?
False
Is 1320 a multiple of 8?
True
Is 3057 a multiple of 53?
False
Does 24 divide 5496?
True
Is 1700 a multiple of 68?
True
Is 278 a factor of 5838?
True
Is 4176 a multiple of 13?
False
Is 2797 a multiple of 8?
False
Does 5 divide 667?
False
Is 21 a factor of 10479?
True
Is 9 a factor of 1512?
True
Is 2127 a multiple of 8?
False
Is 34 a factor of 190
|
{
"pile_set_name": "DM Mathematics"
}
|
.1, -29
Put -617, -19, 5 in descending order.
5, -19, -617
Put -14, 0, 7, -5, -6 in decreasing order.
7, 0, -5, -6, -14
Sort 4, -1.2, -5, -2/37.
-5, -1.2, -2/37, 4
Put -75, -3, 3, 5, 6 in descending order.
6, 5, 3, -3, -75
Sort -3, -1390, -4, 0, 4.
-1390, -4, -3, 0, 4
Put 2388, -5, 5, -3 in ascending order.
-5, -3, 5, 2388
Put 5505, 4, 1, 5 in increasing order.
1, 4, 5, 5505
Sort -1, -19, -9, 4 in ascending order.
-19, -9, -1, 4
Put 423, 3, 8 in decreasing order.
423, 8, 3
Put -6, -2, 5, 2/3, 6022/3 in ascending order.
-6, -2, 2/3, 5, 6022/3
Sort -0.1, 2/13, 2, 0.1, 2906/15, 3.
-0.1, 0.1, 2/13, 2, 3, 2906/15
Put -1, 1/8, -1457, -1/4 in descending order.
1/8, -1/4, -1, -1457
Put -0.2, -0.038, -0.4, -6216 in increasing order.
-6216, -0.4, -0.2, -0.038
Put -1328, -2, -1323 in descending order.
-2, -1323, -1328
Sort -0.5, -557, -4/5, 3.
-557, -4/5, -0.5, 3
Sort -0.1, -5/2, -2, 2/13, -4/55 in decreasing order.
2/13, -4/55, -0.1, -2, -5/2
Sort -0.13, -167, -24, 0.2 in descending order.
0.2, -0.13, -24, -167
Sort 23, 0, -107, -17, 3 in descending order.
23, 3, 0, -17, -107
Sort 0, -8, 46233 in descending order.
46233, 0, -8
Sort 5, 4, -2, 3943 in descending order.
3943, 5, 4, -2
Sort 1, 6, -4, -35, -1, 5.
-35, -4, -1, 1, 5, 6
Sort -8, 5, -4, -188.
-188, -8, -4, 5
Sort -1, 7, -57, 1, 0 in ascending order.
-57, -1, 0, 1, 7
Sort 5, 25, 9, -295, -4.
-295, -4, 5, 9, 25
Sort -5, 0, -2, 88, -35 in increasing order.
-35, -5, -2, 0, 88
Put 75, -4, -47, 5 in descending order.
75, 5, -4, -47
Sort -5, 3, 0.8, -124.
-124, -5, 0.8, 3
Put -3, 360, -4, -2 in descending order.
360, -2, -3, -4
Sort -115, 3, 4, -4, 58 in descending order.
58, 4, 3, -4, -115
Sort 0, 441, 5, 4.
0, 4, 5, 441
Put 0.2, -0.0589, -0.1824 in decreasing order.
0.2, -0.0589, -0.1824
Put 29, -2, -106, 5 in ascending order.
-106, -2, 5, 29
Sort 13, 0, 3, -14, -8, 5 in descending order.
13, 5, 3, 0, -8, -14
Sort -2/11, -0.1, -0.16, -12 in decreasing order.
-0.1, -0.16, -2/11, -12
Sort 0.2, 0.3, -3/7, 279/5 in ascending order.
-3/7, 0.2, 0.3, 279/5
Put -4, -1/2, -2, -611, 0.3 in decreasing order.
0.3, -1/2, -2, -4, -611
Sort -1/4, 22, -23, -8.
-23, -8, -1/4, 22
Put 32, 3, 2352, 5 in descending order.
2352, 32, 5, 3
Put -4, 6, 2, -34, -118 in increasing order.
-118, -34, -4, 2, 6
Sort 5, -3/5, -3.164, -0.2 in descending order.
5, -0.2, -3/5, -3.164
Put 1/6, -2, 7/4, 0.0335 in increasing order.
-2, 0.0335, 1/6, 7/4
Put 2/5, -4, 5, 2.8 in decreasing order.
5, 2.8, 2/5, -4
Sort -4/7, 0.3, -5/39, 2/15.
-4/7, -5/39, 2/15, 0.3
Put -3/2, 4, -1/5, -2/3, -1/4 in ascending order.
-3/2, -2/3, -1/4, -1/5, 4
Put -2, 104.7, -3, 0.4, 1 in increasing order.
-3, -2, 0.4, 1, 104.7
Put -5.29, 0, 6/11, 0.9 in descending order.
0.9, 6/11, 0, -5.29
Sort -0.5, -2, 4/7, 5, -1947, 0.15 in decreasing order.
5, 4/7, 0.15, -0.5, -2, -1947
Sort 0, 9, 0.5, -107, -2 in descending order.
9, 0.5, 0, -2, -107
Put 126/29, -41/10, -0.5 in descending order.
126/29, -0.5, -41/10
Put 496.71, -0.2, 5 in ascending order.
-0.2, 5, 496.71
Sort 10632, 3, -16 in increasing order.
-16, 3, 10632
Put 0.051, -14/5, 5 in descending order.
5, 0.051, -14/5
Sort -5, 5, -28, 2075, 3, 2 in ascending order.
-28, -5, 2, 3, 5, 2075
Sort -138, 0.5, -0.4, 18/11.
-138, -0.4, 0.5, 18/11
Put 0, -2, -166, 4, -25 in ascending order.
-166, -25, -2, 0, 4
Sort 2, 3, -105, -2, -8, 19 in descending order.
19, 3, 2, -2, -8, -105
Put -64, 6, 2, 0, -1, -5 in descending order.
6, 2, 0, -1, -5, -64
Put -1, 85, -374 in decreasing order.
85, -1, -374
Put 0.3, 3, -1, -2, -10/79 in descending order.
3, 0.3, -10/79, -1, -2
Sort -8, -2, -102/13, 0.28 in increasing order.
-8, -102/13, -2, 0.28
Put 48, 95, 62 in decreasing order.
95, 62, 48
Sort -3851, -33, 3.
-3851, -33, 3
Sort -1, 4, 5, -145, 9 in increasing order.
-145, -1, 4, 5, 9
Put 1, 14, -4, -99, 0, -5 in increasing order.
-99, -5, -4, 0, 1, 14
Sort 0, 7, 3, 5, -49, -3 in descending order.
7, 5, 3, 0, -3, -49
Put -391, -42, 4/9 in ascending order.
-391, -42, 4/9
Sort 1, 29/24, 292 in increasing order.
1, 29/24, 292
Sort 4, 4389, 12, 5 in descending order.
4389, 12, 5, 4
Put 16, 15, 4, 63 in ascending order.
4, 15, 16, 63
Sort 7132, 2, 64 in descending order.
7132, 64, 2
Put 0.2, -0.5, 2/3 in ascending order.
-0.5, 0.2, 2/3
Put -4, 362, -45, 0, -1, 5 in descending order.
362, 5, 0, -1, -4, -45
Put -2, 10, 20, -11, -5, 1 in descending order.
20, 10, 1, -2, -5, -11
Sort -1, 0.02, -0.013, -4 in increasing order.
-4, -1, -0.013, 0.02
Put 84, 4, 3, 0, -4, -3 in decreasing order.
84, 4, 3, 0, -3, -4
Sort -9, 0, -20, 5, 2.
-20, -9, 0, 2, 5
Sort -9, -27, -5, 2, -3 in increasing order.
-27, -9, -5, -3, 2
Sort -3, 1138, 0.3, 14, 0.5.
-3, 0.3, 0.5, 14, 1138
Put 5, -2, 9, -4, -5 in decreasing order.
9, 5, -2, -4, -5
Sort 3, 9, -19, 10, -3, -6 in decreasing order.
10, 9, 3, -3, -6, -19
Sort -1/23, -245, -4.
-245, -4, -1/23
Sort 163599, -3, 3 in ascending order.
-3, 3, 163599
Sort -4, 9149, -7 in descending order.
9149, -4, -7
Put -10, -5, -47, -4, 14 in descending order.
14, -4, -5, -10, -47
Sort -2, 155, 2, -4.
-4, -2, 2, 155
Put 11, -37, 3/8, 3, 0.4 in ascending order.
-37, 3/8, 0.4, 3, 11
Put 3, -4, -1/8, 21/106 in descending order.
3, 21/106, -1/8, -4
Sort 4, 5, 310, -239, -4, -1.
-239, -4, -1, 4, 5, 310
Put -0.2, -252.9, -2/133 in descending order.
-2/133, -0.2, -252.9
Sort 25, 632, -3, -0.3, -0.09, 0.4 in increasing order.
-3, -0.3, -0.09, 0.4, 25, 632
Put -1, -104032, 0 in descending order.
0, -1, -104032
Sort 466, -1, 142 in descending order.
466, 142, -1
Put 6, -3, 4, -54 in descending order.
6, 4, -3, -54
Put -5, 33, -18, 214 in descending order.
214, 33, -5, -18
Put 12, 1, 3, -10, 2 in descending order.
12, 3, 2, 1, -10
Put 0, 7, 1/10, -0.43 in increasing order.
-0.43, 0, 1/10, 7
Put 1, 7317, -2 in decreasing order.
7317, 1, -2
Put 16, 3, -64, 2 in increasing order.
-64, 2, 3, 16
Put -4, -5, 0, 8, 111, 7 in increasing order.
-5, -4, 0, 7, 8, 111
Sort 2, 99, 241, -3, -2.
-3, -2, 2, 99, 241
Put -1/2, -3/10, 3, 1.7, 816 in decreasing order.
816, 3, 1.7, -3/10, -1/2
Sort 0.6, 0.5052, 2, 1, -3 in decreasing order.
2, 1, 0.6, 0.5052, -3
Sort 14, 25, -1, 1, 2.
-1, 1, 2, 14, 25
Sort 1/7, -0.3, -2016 in descending order.
1/7, -0.3, -2016
Sort 0, 52/5, 22, 1/5.
0, 1/5, 52/5, 22
Sort -357, -11353, 4 in increasing order.
-11353, -357, 4
Sort 45, 460, 0.
0, 45, 460
Sort -0.3, 5, 0.055872.
-0.3, 0.055872, 5
Sort -5/4, -2165, 0.04, 5.
-2165, -5/4, 0.04, 5
Put 0, -5, 7695, 1, 4 in ascending order.
-5, 0, 1, 4, 7695
Sort -2/87, 1/4, -319.1 in decreasing order.
1/4, -2/87, -319.1
Sort -23, 2/901, 8/7 in ascending order.
-23, 2/901, 8/7
Sort 0, 35, 4, 13, -12, -4.
-12, -4, 0, 4, 13, 35
Sort 9, 5, 2, 0, -5.
-5, 0, 2, 5, 9
Put -2, -1734, -6, 3, 5 in increasing order.
-1734, -6, -2, 3, 5
Put -1/3, 2, 11, 3/89, -7 in descending order.
11, 2, 3/89, -1/3, -7
Put -1/4, -1, -5/26, -17, -0.2, -2 in descending order.
-5/26, -0.2, -1/4, -1, -2, -17
Sort 0.6, 7/2, -64.
-64, 0.6, 7/2
Put -1, 11, -59, 113, 5 in increasing order.
-59, -1, 5, 11, 113
Sort 159, -0.4, -42 in descending order.
159, -0.4, -42
Put 1, 2, -2, 11, 9 in increasing order.
-2, 1, 2, 9, 11
Put -124, 61/6, 2 in descending order.
61/6, 2, -124
Sort -15, -3.9, 17.1 in descending order.
17.1, -3.9, -15
Sort -4, 151, 31, 4.
-4, 4, 31, 151
Sort -52019, -2, -3, 1 in descending order.
1, -2, -3, -52019
Put 2, -10, -1, -4, -5 in increasing order.
-10, -5, -4, -1, 2
Put 1, 161, -13, 8, 0, -2 in decreasing order.
161, 8, 1, 0, -2, -13
Put 57, -2, 7, 38, 5, -1 in increasing order.
-2, -1, 5, 7, 38, 57
Sort -2, -3, 4594.
-3, -2, 4594
Put 609, 0.2, 0.06, -0.5 in descending order.
609, 0.2, 0.06, -0.5
Put 2, -11, -512, -32 in decreasing order.
2, -11, -32, -512
Put -118, 5, 191 in decreasing order.
191, 5, -118
Put -81, -4, 0.5, 2/325, -0.02 in increasing order.
-81, -4, -0.02, 2/325, 0.5
Sort -3, 1, -0.26, -2/23.
-3, -0.26, -2/23, 1
Sort 5, -2/155, -1/6, 8.7 in decreasing order.
8.7, 5, -2/155, -1/6
Sort 3, 26777, 5, -7, 0, -5 in decreasing order.
26777, 5, 3, 0, -5, -7
Sort 1, -1, -55, -2, 1/4, 4.
-55, -2, -1, 1/4, 1, 4
Put -2, -1, 2, -4, -7, 29 in descending order.
29, 2, -1, -2, -4, -7
Put 2, -76, 4, 1, 21 in descending order.
21, 4, 2, 1, -76
Sort -1, 0.004, 0.2, 1/16, -0.04 in increasing order
|
{
"pile_set_name": "DM Mathematics"
}
|
4*h - 25*h = 2*h + 103938. What are the prime factors of h?
2, 3, 1019
Suppose -6*b + 178 = 4. Let j(s) = 53*s + 4. List the prime factors of j(b).
23, 67
Let d(v) = 366*v**2 + 18*v + 15. What are the prime factors of d(3)?
3, 19, 59
Suppose -4*a = -29653 + 10857. List the prime factors of a.
37, 127
Let c = 18 + -14. Suppose -3*r + c = -5, -2*w + 17 = 3*r. What are the prime factors of 51*(52/12 - w)?
17
Suppose 482 = 2*h - h. Suppose 0 = -5*v + 4*t + 454, -2*t + h = 5*v + t. Suppose -99*g + v*g = -415. What are the prime factors of g?
83
Suppose 71*n - 162*n + 3065880 = 141*n. List the prime factors of n.
3, 5, 881
Suppose 0 = 5*d + 2*m - 119899, 39*d + 3*m + 47971 = 41*d. What are the prime factors of d?
23981
Suppose 87*p - 45955 = -14*p. Let r = -1 - -3. List the prime factors of -4 + p/5 + r.
89
Let l(w) = w**2 + 2*w**2 + 1 - w**2 - 10*w + 7. Let s be l(11). Suppose -4*d + 150 = 2*k, s = -4*d + 8*d + 4*k. What are the prime factors of d?
2, 5
Suppose 3*l + 19 = 5*z + 667, -3*z - 220 = -l. Let u = -98 + l. List the prime factors of u.
113
Let i be 91/(-39) - 47/3. What are the prime factors of 36/i + 3198/(2 - -1)?
2, 7, 19
Suppose -1 - 4 = -5*m, -n + 4*m - 17 = 0. Let r(y) = y**3 + 14*y**2 + 6*y + 1. List the prime factors of r(n).
2, 23
Let i = 2288 + -1086. List the prime factors of i.
2, 601
Suppose r - 6577 = -2*l, -3*l + 13045 = -5*r + 3186. What are the prime factors of l?
2, 3, 137
Suppose -3*t = -4*a + 12, 0 = 17*a - 16*a + 2*t + 8. Suppose -3*w - w + 400 = a. List the prime factors of w.
2, 5
Let z(j) = -j**3 - 4*j**2 + 6*j - 1. Let r = 20 - 25. Let f be z(r). What are the prime factors of 16/f - -4 - 22/(-6)?
5
Suppose -9*i = 2*i - 4*j - 142755, 0 = j + 2. List the prime factors of i.
19, 683
Let o = 24 + -23. Let h be 3/9*72/(3 + o). List the prime factors of (15/(-6))/(h/(-132)).
5, 11
Suppose -5*g = -27*g - 2*g + 47112. What are the prime factors of g?
13, 151
What are the prime factors of 10902*30/(-9)*(-12)/30?
2, 23, 79
Suppose 0 = 4*k - 16*k + 96. Suppose -3*h = -13*p + k*p - 3571, -2*h = -3*p - 2380. What are the prime factors of h?
1187
Suppose -3077*l + 3219*l = 2602434. List the prime factors of l.
3, 41, 149
Suppose -4*h + 54848 = -3*y, -10*y - 13711 = -h - 9*y. What are the prime factors of h?
5, 13, 211
Let u be (4 + 2/(-1))*(-34)/1. Let x = -47 - u. Let o = x - 9. List the prime factors of o.
2, 3
What are the prime factors of 1/(-13) + 184287656/11921?
3, 5153
Suppose -5071*b = -5075*b + 120188. What are the prime factors of b?
30047
Suppose -26*t - 4648 = -34*t. Suppose -h - t = -2*h + 2*f, 0 = 3*h - 5*f - 1747. What are the prime factors of h?
19, 31
Let x be (-31 + 1)*(0 - 188/(-6)). Let o = x - -1504. What are the prime factors of o?
2, 3, 47
Suppose 0 = -8*c + 34*c - 126048. List the prime factors of c.
2, 3, 101
Let l(s) = -41*s**3 - 2*s + 83*s**3 - 13*s**2 - 7*s**2 - 43*s**3 - 38. List the prime factors of l(-20).
2
Let r(g) = -152*g**3 + 2*g**2 + 3*g - 2. Let z be r(2). Let o = z + 1716. List the prime factors of o.
2
Let u(a) = a**2 + 2*a - 29. Let r be u(13). Let m = 831 - r. Suppose 6*x - 301 = m. List the prime factors of x.
7, 23
Suppose 15*c - 21*c = -3282. Suppose -a - c = -x - 36, 3*a - 519 = -x. Suppose 35 = 2*u + h - 307, -x = -3*u + 2*h. What are the prime factors of u?
3, 19
Let y = -60 - -104. Suppose 0 = 3*b - 4*t - 85, 44 = -5*t + 24. Let x = y + b. List the prime factors of x.
67
Let n = 24798 + -16886. List the prime factors of n.
2, 23, 43
Let f be 21 + 265 + 1/(1 - 0). Let v = f - 47. What are the prime factors of v?
2, 3, 5
Suppose 0 = -3*y + 3*w + 21472 + 13253, 4*w = -2*y + 23162. What are the prime factors of y?
3, 17, 227
Let i = 2 - -2. Let p = 277 + -155. What are the prime factors of 1/(i/p)*4?
2, 61
Suppose 5*l = 3*n - 1247, n - l + 5*l = 427. Let h = n + -219. List the prime factors of h.
2, 5
Let v(i) = 53*i - 304. Let d(c) = -35*c + 202. Let a(b) = -8*d(b) - 5*v(b). What are the prime factors of a(14)?
2, 3, 19
Suppose -8 - 52 = j. Let y = j + 56. List the prime factors of -2*y/(16/204).
2, 3, 17
Suppose 7*v + v - 825281 = -258073. What are the prime factors of v?
70901
Let b(u) = 3*u**3 - 2*u**2 + 5*u - 22. Let j(g) = -g**3 + 2*g**2 - 2*g - 1. Let q(r) = -b(r) - 2*j(r). List the prime factors of q(-11).
2, 281
Suppose 2*t - 4*u = -2*t - 168, 4*u = 2*t + 78. Let o(w) = -68*w + 551. Let q be o(7). Let i = q + t. List the prime factors of i.
2, 3, 5
Suppose 2*l - 15 = -q, -4*l + q = -q - 10. Let a = l - 3. Suppose 3*z + a = 80. List the prime factors of z.
2, 13
Suppose 5*k + 9 - 29 = 0. Suppose 50 = x - k*q, 5*x - 2*q - 284 + 16 = 0. What are the prime factors of x/((2 - 2) + 10/25)?
3, 5
Let v be 2*(-20)/(-6) - (-74)/(-111). Suppose 0 = 4*p + 4*t - 264, -v*p + 2*p = -5*t - 282. What are the prime factors of p?
2, 17
Let c = -1609 - -2736. Let y = c - 563. List the prime factors of y.
2, 3, 47
Let m(u) be the third derivative of 0 + 0*u - 2/3*u**3 - 5/8*u**4 + 5*u**2. List the prime factors of m(-5).
71
Suppose -6*l - 15 = -51. What are the prime factors of (-3087)/l*16/(-24)?
7
Suppose -3*x = -20*x + 1615. Suppose -d = -4*b - 803 - x, 4*b = -d + 930. What are the prime factors of d?
2, 457
Let x = -157 - -472. Suppose 59 = 5*d - 2*b - x, -3*d + 226 = -2*b. Let q = d - -6. List the prime factors of q.
2, 5
Let l(k) = k**2 - 4*k + 3. Let o be l(3). Let m(d) be the third derivative of -d**6/120 + d**4/12 + 113*d**3/3 + 593*d**2. What are the prime factors of m(o)?
2, 113
Let i = 485 - 480. List the prime factors of (-32224)/(-36) - i/45.
5, 179
Let y = 18 - 14. Suppose -a + y = 8. What are the prime factors of (a/(-4) - 4)*-19?
3, 19
Let x be (0 + -1)/((-10)/200). Let n(k) = k + 3. Let j be n(-8). What are the prime factors of j/x*-91*12?
3, 7, 13
Suppose -3*p - 12331 = -v + 6770, -5*p - 38197 = -2*v. What are the prime factors of v?
2, 3, 3181
Let v(o) = 6*o + 137. Let s be v(-22). Suppose 6*u - 3*u - 395 = -4*m, 5*u = s*m + 600. What are the prime factors of u?
5
Let a(f) = -276*f**2 + 14*f + 262*f**2 - 10 - 5*f**3 + 4*f**3. Let s be a(-15). List the prime factors of ((-220)/2)/(4 - s).
2, 5, 11
Let x be 1/(-4*(-5)/40). Let f(k) = 174*k**2 - k + 1. Let q be f(x). Suppose -3*p + 438 = 4*r, -5*p + r + 4*r + q = 0. List the prime factors of p.
2, 71
Suppose -88*d - 9*d - 7*d = -2595320. List the prime factors of d.
5, 7, 23, 31
Let v be (14 + -2)*(9 - 8). Suppose -35 + 131 = v*f. Suppose -4*h + 824 = 4*k, f*h - 5*k = 3*h + 1050. List the prime factors of h.
2, 13
Let w(a) = 40*a + 6. Let m(y) = 2*y**3 - 12*y**2 + 6. Let r be m(6). Suppose 0 = -r*z - z + 7. List the prime factors of w(z).
2, 23
Let w be 1 - (5 + (-27 + 3)*6). List the prime factors of w/(1 - 7/14).
2, 5, 7
Let v(l) = 2*l**3 + 19*l**2 + 2*l. Let t be v(-9). Let z = t + 297. What are the prime factors of z?
2, 3, 5
Let n(x) = -1. Let g(q) = 1. Let c(y) = 5*g(y) + 4*n(y). Let r(j) = j**3 - 22*j**2 - 5*j + 7. Let z(h) = -2*c(h) - r(h). What are the prime factors of z(22)?
101
Let y(o) = -24*o + 6. Let s be y(1). Let z = -3 - s. What are the prime factors of (z/12)/(-5)*-836?
11, 19
Let k(q) = 9*q + 8 - 10*q + 2. Let d be k(12). Let o(z) = 12*z**2 - 7*z - 3. List the prime factors of o(d).
59
Let n(p) be the second derivative of p**3/3 + 39*p**2/2 + 11*p. Let j be n(-17). Suppose -6*r = -j*v - 8*r + 703, -2*r - 2 = 0. What are the prime factors of v?
3, 47
Let y be 9/(27/8484) - 1 - -4. Suppose 5*a - 2519 = y. List the prime factors of a.
2, 5, 107
Let r(v) = -11 + 12 - 4*v + v**2 - 6. List the prime factors of r(-18).
17, 23
Let h(q) = -50*q + 79. Let w be 64/48 - (-56)/(-6). List the prime factors of h(w).
479
Let d(c) = 192 + 236 + 4*c - 261 + 4*c. List the prime factors of d(41).
3, 5, 11
Suppose 20*s = 18*s - d + 10, -5*d - 10 = -5*s. Suppose 2*l + x = 38, 3*l - 5 = 2*l - s*x. List the prime factors of l.
3, 7
Suppose -22079 = 20*u - 72719. Suppose -2531*v - 1427 = -u*v. What are the prime factors of v?
1427
Let t(g) = 474*g**2 - 84*g - 392. What are the prime factors of t(-4)?
2, 941
Let c be -2 + (-3)/(-3) - -4. Suppose 1 = 2*b - 3, 5*f - c*b - 579 = 0. List the prime factors of (6 + 0)*f/6.
3, 13
Let s(w) = 587*w**2 - 101*w - 1052. What are the prime factors of s(-9)?
2, 7, 1693
Let u(t) be the first der
|
{
"pile_set_name": "DM Mathematics"
}
|
0, 1
Let h(v) = -v**2 - 16*v + 9. Let y(t) = t**2 - 1. Let j(s) = 5*h(s) + 30*y(s). Suppose j(n) = 0. What is n?
1/5, 3
Let m(k) be the first derivative of -k**5/5 - 5*k**4/2 - 12*k**3 - 27*k**2 - 27*k - 30. Factor m(x).
-(x + 1)*(x + 3)**3
Suppose -5*d - 21 = -l - 3*l, -3 = -d - l. Let g be d/(-6) - 6/(-18). Factor 0 + 1/2*x**3 + 0*x**4 + 0*x**2 - g*x**5 + 0*x.
-x**3*(x - 1)*(x + 1)/2
Let z(g) be the third derivative of -g**6/360 + g**5/90 - g**4/72 + 8*g**2. Determine r so that z(r) = 0.
0, 1
Factor -8*w**3 + 0*w - 10*w**2 + 10*w - 8*w - 4*w.
-2*w*(w + 1)*(4*w + 1)
Let f be 8/2 + 0 + (-14)/4. Factor -r**2 + 1 - 1/2*r + f*r**3.
(r - 2)*(r - 1)*(r + 1)/2
Let j(w) be the third derivative of 0*w + 1/135*w**5 - 1/945*w**7 - 1/54*w**4 - 1/756*w**8 - 1/27*w**3 - w**2 + 0 + 1/135*w**6. Find y such that j(y) = 0.
-1, -1/2, 1
Let t = 9 + -7. Let o(l) = -6*l**3 - 5*l**2 + l + 7. Let q(a) = 2*a**3 + 2*a**2 - 2. Let v(h) = t*o(h) + 7*q(h). Suppose v(c) = 0. What is c?
-1, 0
Let b(a) = -21*a**3 - 15*a - 15. Let g be (18/12)/((-2)/20). Let p(x) = 3*x**3 + 2*x + 2. Let i(t) = g*p(t) - 2*b(t). Solve i(s) = 0 for s.
0
Let 749*n - n**2 + 5*n**2 - 741*n = 0. Calculate n.
-2, 0
Suppose 2*q = 6*q - 8. Let n(v) be the third derivative of 0*v + 2/9*v**3 + 0 + 1/3*v**4 + 5/72*v**6 + 1/4*v**5 + 2*v**q. Factor n(s).
(s + 1)*(5*s + 2)**2/3
Let q(r) be the first derivative of 8 - 1/2*r**3 + 1/8*r**4 + 1/2*r**2 + 0*r. Find p such that q(p) = 0.
0, 1, 2
Suppose -6 = 4*a - 14. Suppose 6*x = a*x + 8. Solve -2/5*c**x - 1/5*c**3 - 1/5*c + 0 = 0 for c.
-1, 0
Let j(w) = 3*w**3 - w + 2. Let f be j(1). Let 3/4*p**5 + 9/4*p**3 + 0 + 0*p - 3/4*p**2 - 9/4*p**f = 0. Calculate p.
0, 1
Let p(o) = 20*o**2 + 14*o - 6. Let j be 44/16 + 1/4. Let i(n) = -4*n**2 - 3*n + 1. Let y(a) = j*p(a) + 16*i(a). Solve y(g) = 0 for g.
-1, -1/2
What is n in -4*n**2 - n**3 + 0*n**3 - 4*n**4 + 0*n**3 + 9*n**3 = 0?
0, 1
Let b(t) = 5*t**5 - 8*t**4 + 2*t**3 + 4*t**2 - 7*t + 4. Let j(i) = i**5 - i**4 - i**3 + i**2. Let o(z) = b(z) - 6*j(z). Suppose o(m) = 0. What is m?
-4, -1, 1
Let d(o) be the first derivative of o**4/24 - o**3/18 - 5*o**2/12 - o/2 + 20. Let d(u) = 0. What is u?
-1, 3
Suppose -4*r - 3 + 15 = 0. Factor c**2 + 3*c**3 + c**4 - 2*c**3 + 0*c**2 - r*c**3.
c**2*(c - 1)**2
Let 4/3*a + 40/3*a**4 + 0 - 10/3*a**2 - 34/3*a**3 = 0. What is a?
-2/5, 0, 1/4, 1
Let a(n) be the second derivative of n**7/3 - 53*n**6/25 + 253*n**5/50 - 173*n**4/30 + 16*n**3/5 - 4*n**2/5 + 7*n - 1. What is r in a(r) = 0?
1/7, 2/5, 1, 2
Suppose -2*m - 4*k = 1 + 5, 4*m = -3*k + 13. Suppose z = -4 + m. Factor 2*g**2 - 1 - 7 + 5*g - 4*g**2 + z*g.
-2*(g - 2)**2
Factor 11*y + 5 - 5 - 3*y**2 - 17*y.
-3*y*(y + 2)
Let z(j) be the third derivative of 0 + 3*j**2 - 1/24*j**4 + 0*j**3 + 1/30*j**5 - 1/120*j**6 + 0*j. Factor z(v).
-v*(v - 1)**2
Let y(u) be the third derivative of -1/3*u**3 + 1/6*u**4 + 0 + 2*u**2 - 1/30*u**5 + 0*u. Suppose y(j) = 0. Calculate j.
1
Let m(o) be the first derivative of -o**5/90 + o**4/36 - 2*o**2 + 4. Let j(t) be the second derivative of m(t). Suppose j(v) = 0. What is v?
0, 1
Let b(d) = -9*d**3 - 12*d**2 + 3*d - 6. Let f = -17 - -29. Let o(w) = -w**3 - w. Let m(r) = f*o(r) - b(r). Factor m(k).
-3*(k - 2)*(k - 1)**2
Let h(p) = p**3 + 3*p**2. Let t be h(-3). Suppose -1/2*w**2 - w**3 + t + 0*w - 1/2*w**4 = 0. What is w?
-1, 0
Suppose 3*f + 1 = 4*p + 10, 0 = 5*p. Solve 0*n**2 - 2/5 + 2/5*n**4 + 4/5*n - 4/5*n**f = 0.
-1, 1
Let w(s) = s**2 - 12*s. Let u be w(12). Let t(r) be the first derivative of 1/7*r**2 - 1 + 4/21*r**3 + u*r + 1/14*r**4. Factor t(b).
2*b*(b + 1)**2/7
Let s(x) be the third derivative of -x**8/10080 - x**7/3780 + x**4/24 + 3*x**2. Let k(m) be the second derivative of s(m). Let k(v) = 0. Calculate v.
-1, 0
Let t(f) be the third derivative of 0*f + 0*f**3 + 1/50*f**5 + 1/525*f**7 - 1/100*f**6 + 0 - 4*f**2 - 1/60*f**4. Solve t(a) = 0 for a.
0, 1
Let n(k) be the third derivative of 7*k**8/12 - 151*k**6/30 - 98*k**5/15 + 2*k**4 + 16*k**3/3 + 5*k**2. Suppose n(t) = 0. What is t?
-1, -2/7, 2/7, 2
Let g(l) be the third derivative of -l**8/1680 - l**7/525 - l**6/600 + 3*l**2. Suppose g(d) = 0. What is d?
-1, 0
Let y(w) = -5*w**2 + 40*w + 3. Let u be y(8). Let 10/11*s - 14/11*s**2 + 6/11*s**u - 2/11 = 0. What is s?
1/3, 1
Let g(y) = 9*y**4 - 6*y - 3. Let x(o) = o**4 - o**3. Let w be (-15)/6*(-12)/5. Let j(a) = w*x(a) - g(a). Factor j(d).
-3*(d - 1)*(d + 1)**3
Let x be (-1612)/(-336) - 5 - (-2)/7. Let j(n) be the third derivative of 1/210*n**7 + 0*n + 0 + 1/18*n**3 + n**2 + 1/36*n**6 + x*n**4 + 1/15*n**5. Factor j(b).
(b + 1)**3*(3*b + 1)/3
Let o(h) = h**4 + h**3 + h. Let i be 20/6*(-54)/(-30). Let c(l) = l**4 + 3*l**3 + 2*l. Let s(y) = i*o(y) - 3*c(y). Solve s(j) = 0 for j.
0, 1
Factor 26/3*r - 4 + 2/3*r**3 - 16/3*r**2.
2*(r - 6)*(r - 1)**2/3
Let u(o) be the second derivative of 1/4*o**2 - o + 0 + 5/48*o**4 - 7/24*o**3. Factor u(p).
(p - 1)*(5*p - 2)/4
Let z be (3 + -1)*2/(10 + -2). Solve 0*t + z*t**2 - 1/4*t**4 + 0 - 1/4*t**3 = 0 for t.
-2, 0, 1
Solve 0 + 2/3*p - 1/3*p**2 = 0.
0, 2
Let n(c) be the first derivative of -9/8*c**4 + 0*c + 3 - 1/2*c**3 + 3/2*c**2. Factor n(h).
-3*h*(h + 1)*(3*h - 2)/2
Factor 17*a**2 + 5 + a**3 + 2 + 2 + 15*a - 10*a**2.
(a + 1)*(a + 3)**2
Let n(w) be the third derivative of 0*w**3 + 0*w**4 + 0 - 1/60*w**5 + 0*w - 1/80*w**6 - 1/420*w**7 - 4*w**2. Suppose n(v) = 0. What is v?
-2, -1, 0
Let r(c) be the second derivative of -c**6/840 + c**5/280 + 2*c**3/3 - 2*c. Let p(q) be the second derivative of r(q). Factor p(m).
-3*m*(m - 1)/7
Let p(d) be the first derivative of 2*d**2 - 1 - 1/3*d**3 - 4*d. Solve p(t) = 0.
2
Let f(b) be the first derivative of b**7/336 - 7*b**6/720 + b**5/120 + 5*b**3/3 - 1. Let h(c) be the third derivative of f(c). Factor h(j).
j*(j - 1)*(5*j - 2)/2
Let t(d) = -d**5 + 2*d**3 - d + 1. Let y(j) = -j**4 - j**3 + j**2 + j - 1. Let z(l) = -t(l) - y(l). What is v in z(v) = 0?
-1, 0, 1
Let i(h) = 2*h**2 - 2*h. Let j(d) = 2*d**2 - 11*d + 2*d**2 + 7*d**2. Suppose 0 = 4*f + 4*s - 144, f + s = -4*s + 44. Let k(a) = f*i(a) - 6*j(a). Factor k(r).
2*r*(r - 1)
Let v = 68 + -65. Factor v*d + 5/4*d**2 + 1.
(d + 2)*(5*d + 2)/4
Let v = 62/3 + -20. Factor 2/3 + 4*m**2 - 8/3*m + v*m**4 - 8/3*m**3.
2*(m - 1)**4/3
Let d = 29521/564 + -13/141. Let u = d - 52. Solve -1/2*g + u*g**4 + 1/2*g**3 + 0*g**2 - 1/4 = 0 for g.
-1, 1
Let g = 14 + -11. Factor 2*b**2 - 2*b**4 - g*b**4 + b**4 + 2*b**2.
-4*b**2*(b - 1)*(b + 1)
Let q(r) be the third derivative of -2*r**7/105 - r**6/15 + r**5/5 + 2*r**4/3 - 8*r**3/3 - 2*r**2 - 3*r. Factor q(x).
-4*(x - 1)**2*(x + 2)**2
Let g(b) = -b**3 - 7*b**2 + 2*b + 6. Let h be g(-6). Let m be (-1 + 5)*(-7)/h. Factor -4/3*w + m + 2/3*w**2.
2*(w - 1)**2/3
Let k = 56 - 29. Let t be -1*(k/(-12))/3. Solve 0*p + 3/4*p**3 + 0 - t*p**2 = 0 for p.
0, 1
Suppose 15 = 5*q, -7*q + 11*q + 8 = 4*r. Solve 0*i**4 + 2/5*i + 0*i**2 + 2/5*i**r + 0 - 4/5*i**3 = 0 for i.
-1, 0, 1
Let k(f) = -125*f**3 - 855*f**2 - 335*f. Let d(m) = 9*m**3 + 61*m**2 + 24*m. Let a(c) = -85*d(c) - 6*k(c). Factor a(n).
-5*n*(n + 3)*(3*n + 2)
Let t = -10 + 17. Let c(u) = t*u**2 + 4*u**3 + 3*u**3 - 2*u**3 - u - 3. Let l(k) = -11*k**3 - 15*k**2 + 3*k + 7. Let o(w) = 9*c(w) + 4*l(w). Factor o(r).
(r + 1)**3
Let o(j) be the third derivative of 19/90*j**6 - 2*j**2 - 1/3*j**5 + 0*j + 0 + 1/18*j**4 + 4/9*j**3 - 2/45*j**7. Factor o(w).
-4*(w - 1)**3*(7*w + 2)/3
Let f(j) be the third derivative of -j**8/672 + j**7/420 + j**6/120 - j**5/60 - j**4/48 + j**3/12 - 7*j**2. Factor f(z).
-(z - 1)**3*(z + 1)**2/2
Let x(f) = -3*f - 7. Let h be x(-3). Let w be 1*6 + -1 + -2. Suppose h*b**2 + 2*b**4 - 2*b**w - b + 3*b - 4*b**2 = 0. What is b?
-1, 0, 1
Let f(t) = -125*t**2 + 1765*t - 11885. Let n(z) = -9*z**2 + 126*z - 849. Let o(a) = 4*f(a) - 55*n(a). Factor o(g).
-5*(g - 13)**2
Let y(c) be the first derivative of -5*c**4 + 5*c**3/3 + 40*c**2 - 20*c + 57. Factor y(i).
-5*(i - 2)*(i + 2)*(4*i - 1)
Let h(y) be the third derivative of -1/30*y**5 + 0 - 1/18*y**4 + 0*y - 1/18*y**3 - 1/90*y**6 - 1/630*y**7 - 8*y**2. Factor h(r).
-(r + 1)**4/3
Let d(n) be the first derivative of 5*n**3/3 - 35*n**2/2 + 30*n + 17. Suppose d(r) = 0. What is r?
1, 6
Solve -2/7*a**3 + 0 + 4/7*a**2 - 2/7*a = 0 for a.
0, 1
Let f(j) = -j**3 + 3*j**2 + 4.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7. What is p(c)?
0
Suppose -3*u - 3*f = u - 140, -2*u + 2*f = -70. Suppose 2*p = 5*h - 15, -4*h - 5*p + u = -2*p. Let m(v) = 2*v - 6. Give m(h).
4
Suppose 3*r + 9 = 4*m, 0*r + 5 = m + 2*r. Suppose -m*w - o - 8 = 2*w, -17 = 5*w + 4*o. Let d(b) = 7*b**2 + 2 - 2 + b. Give d(w).
6
Let i be 0 + 1 + 3/(-1). Let t(g) be the second derivative of -g**3/6 - 9*g. Let v(h) = 6*h. Let n(c) = -11*t(c) - 2*v(c). Determine n(i).
2
Let v(l) be the third derivative of l**4/24 + 7*l**3/3 - 2*l**2. Suppose 10 = -5*m + 25. Suppose 4*k + 49 = -5*f + 15, -m*k + 27 = -5*f. What is v(f)?
8
Let y(j) be the second derivative of -3*j**4/4 - j**3/2 - j**2/2 - 574*j. Determine y(-3).
-73
Suppose 0 = 15*r + 16*r + 155. Let u(o) be the second derivative of -o**4/12 - o**3 + o**2 - o. What is u(r)?
7
Let n(q) = q**3 + 2*q**2 + q - 1. Let i(w) = 5*w + 52. Let f be ((-28)/(-21))/(-2 - 28/(-15)). Let u be i(f). Give n(u).
17
Let q = -11 - -12. Let o be (3 + 1)*q/2. Suppose -15 = -b + 5*n, -o*b - n - 3 = -0*n. Let i(k) = -k**2 - k + 9. Give i(b).
9
Let u(v) = -8*v**2 - 38*v - 15. Let i(h) = 3*h**2 + 14*h + 5. Let a(f) = 11*i(f) + 4*u(f). Let j(r) = r**3 + 7*r**2 + 7*r. Let o be j(-6). Determine a(o).
19
Let p(v) = -844 + 843 + v - 5*v**3 + 2*v**3. Let y be p(1). Let s(j) = -2*j - 3. Determine s(y).
3
Let j(i) be the first derivative of i**3/3 - 4*i**2 - 5*i - 96. Determine j(7).
-12
Let x(w) = -2*w**2 - 1. Let d(b) = b**3 - 35*b**2 + 19*b + 18. Let l(o) = d(o) - 7*x(o). Calculate l(20).
5
Let y(p) = -p**3 - 5*p**2 + 8*p + 8. Let f(o) = 6*o**2 + 3*o + 3. Let c be f(-2). Suppose 5 = -m + 4*v - 13, v + c = -4*m. Give y(m).
-4
Let y = 7 + -5. Let s(p) = -p**3 - 2*p**2 + 5*p + 4. Let g(m) = m**3 + 3*m**2 - 6*m - 5. Let d(j) = 5*g(j) + 6*s(j). Determine d(y).
3
Let i(j) = -j**2 + 5*j - 4. Let c be (-13 + 11)*(-1)/(-2)*-5. Calculate i(c).
-4
Let g(h) be the first derivative of h**3/3 - 4*h**2 + 3*h - 6. Suppose -12 = -3*q + 3*d, 0 = 2*q - q + 5*d - 10. Determine g(q).
-12
Let i(h) = -11 + h - 2*h - 7 - 12 + 23. Calculate i(-10).
3
Let f be 39/(-7) + (-177)/413. Let q(n) = n**3 + 6*n**2 - 2*n. What is q(f)?
12
Let g(y) be the third derivative of y**6/120 - 17*y**5/60 - 19*y**4/24 + 2*y**3 + 336*y**2. Calculate g(18).
-6
Let r(f) be the second derivative of f**4/12 - 7*f**3/6 - f**2 + f. Calculate r(5).
-12
Let d(b) = -1 + b**2 + 0*b + 2*b - 1. Suppose -36 = -4*n - n - 4*s, 8 = -n + 3*s. Suppose 0 = f - n*t + 2*t - 10, 2*t = -8. Calculate d(f).
6
Let b(n) = -n**2 + n - 1. Let j(w) = 6*w**2 - w. Let q(v) = -2*b(v) - j(v). What is q(4)?
-66
Let l(h) = -3*h - 4. Let p be l(4). Let t(b) = b**3 + 15*b**2 - 15*b + 10. Calculate t(p).
-6
Let b be 4/(-1 - 1) - -9. Let m(h) = 5*h**3 + h**2 - h - 1. Let i(t) = 9*t**3 + 10*t**2 - 7*t - 11. Let l(k) = -i(k) + 2*m(k). What is l(b)?
-5
Let s(f) = -f**3 - 16*f**2 - 16*f - 21. Let t(a) = 6*a - 81. Let g be t(11). Give s(g).
-6
Let n = 181 - 177. Let d(r) = r**2 - 8*r + 10. Determine d(n).
-6
Let s(q) = q + 1. Let k = -29 + 29. Suppose 3*l + z + 7 = k, l + 4*z = 6*z. Give s(l).
-1
Let w be 4 - 0/(-2 - -3). Let k be w/(-4) + 2 - -1. Let q(d) = 3*d + 7*d**2 - 6*d**3 - k*d - 3*d**2 - 2*d**2. What is q(-1)?
7
Let q(u) = -4*u + 7. Suppose 3*x - 7*c - 31 = -3*c, 5*x - 5*c - 45 = 0. Determine q(x).
-13
Let w(l) = 4*l + 2. Let r = 997 - 990. Give w(r).
30
Let p(n) be the third derivative of -n**5/60 - 11*n**4/24 - n**3 + 3*n**2 + 4*n. What is p(-10)?
4
Let c(l) = 9*l**2 + 1. Let n = 242 + -241. What is c(n)?
10
Let a(l) be the second derivative of -l**6/120 + l**5/15 - l**4/24 + l**3/3 - 3*l**2/2 + 5*l. Let g(v) be the first derivative of a(v). Calculate g(4).
-2
Let r(v) be the third derivative of -v**4/8 + 25*v**3/6 + 38*v**2 + v. What is r(11)?
-8
Suppose -10*s + 70 + 30 = 0. Let p(c) = -c**3 + 10*c**2 + 8. Calculate p(s).
8
Let g(w) = -w**3 + 11*w**2 - 9*w + 4. Let i be ((3 - 3) + 6)/(2/5). Let a be (i/2)/(21/(-196)*-7). Determine g(a).
14
Let r(t) be the second derivative of 0 - 6*t**2 - 1/6*t**3 + 8*t + 1/12*t**4. Let p = -14 - -14. Determine r(p).
-12
Suppose -3*p = -2*n - 23 - 4, p = 4*n + 29. Let s be (-6)/(-4)*(-14)/(-3). Let b(v) = 0*v - 5*v**2 - s - 30*v**3 + 29*v**3 + 6*v. Calculate b(n).
-7
Suppose 11*p = 3*p - 16. Suppose -2*o - o = -42. Let r(d) = -3 + o*d**2 - 2*d - 12*d**2 - d. Determine r(p).
11
Let v(b) = b**2 + 3*b - 9. Suppose 23*s + 91 = -70. Determine v(s).
19
Let r be (2 + 0/(-3))*1. Let i(a) = -16*a**r + a**3 + 3 - 4 + 10*a**2 - 6*a. What is i(7)?
6
Let g(d) be the third derivative of -d**4/24 - 3*d**3/2 - 139*d**2. What is g(-9)?
0
Suppose -1 = -y - a, -8*y - 4*a = -3*y - 7. Let g(h) = -6*h - 2*h**2 + 6 - 4 + y*h. What is g(-3)?
-7
Let d(x) = 2*x. Let k be (-2)/(-8) - (0 - (-56)/(-32)). Let b(p) = -p. Let n be b(-2). Suppose -n*c + 4*h + 0*h = 14, 0 = -h + k. Give d(c).
-6
Let n(c) = 5*c + 5. Let y(o) = -5*o - 5. Let i(d) = -3*n(d) - 2*y(d). Calculate i(-2).
5
Let l = -49 + 53. Let z(x) = -2*x + 2*x**3 + 4*x**3 + l*x**3 - 3 - 9*x**3. Calculate z(3).
18
Let l = -12 - -27. Let w = l + -5. Suppose 4*b + b - w = 0. Let m(q) = 2*q**2 + 2*q - 2. Determine m(b).
10
Let p(s) = 6*s + 27. Let y be p(-4). Let f(d) = -3*d + 4*d**3 - 6*d**y + d**3 - 5*d**2. Give f(-3).
-9
Let v(l) = 2*l**2 - 13*l - 44. Let s be v(9). Let h(y) = 53*y**2 + 9*y - 2. Let r(n) = -26*n**2 - 4*n + 1. Let m(t) = -3*h(t) - 7*r(t). Determine m(s).
23
Let q = 14 - 12. Suppose q*v = -3*v. Let d(h) = h + 10. Calculate d(v).
10
Let x = -8 - -2. Let d(z) = 2*z**2 + 7 + 678964*z - z**2 - 678958*z. Give d(x).
7
Let z(j) = -4 + 1 + j + 1. Let q be 6/21 - ((-768)/14)/(-3). Let u be (-315)/q*4/10. Calculate z(u).
5
Let m(y) = 2*y + 4. Let c(s) = -s**3 + 8*s**2 - 8*s + 9. Let i be c(7). Let w(n) = -6*n - 11. Let q(p) = i*w(p) + 7*m(p). Suppose -2*b - 20 = 2*b. Give q(b).
-4
Let g be 4 + (-3 + 0)*-1. Suppose 2*v + g*v = 0. Let y(f) = f + 4. Determine y(v).
4
Let q(h) be the first derivative of -h**3/3 + 2*h**2 + 10*h + 112. Determine q(8).
-22
Suppose 0 = -4*a + 6 + 2. Let m(w) be the second derivative of -3*w**5/20 + w**4/6 - w**3/2 + w**2 + w - 64. Calculate m(a).
-20
Let u(p) be the first derivative of p**3/3 + 3*p**2 + 10*p - 15. What is u(-4)?
2
Let f(a) = -8*a**3 - a + 1. Let r = -35 + 36. Give f(r).
-8
Suppose 8*f = 11*f + 9. Let a(x) = -x - 4*x + 3 + 3*x + 4*x. What is a(f)?
-3
Let h(l) = -3 - 807*l**2 - 7*l - 6 + 808*l**2. Give h(8).
-1
Suppose 5*n - 4*s + 8 + 68 = 0, -5*s - 21 = n. Let c(v) = 3*v + 40. Determine c(n).
-8
Let x = -1438 - -1440. Let y(z) = -18*z - 3. Determine y(x).
-39
Let y be 39/(-6)*(-4)/2. Let s(f) = 1 - 3 + 26*f - 25*f + y. Give s(0).
11
Let d(r) = 9*r**2 - 21*r + 8. Let k(f) = 5*f**2 - 11*f + 4. Let o(g) = 3*d(g) - 5*k(g). Calculate o(6).
28
Let g(z) = z**2 - 8*z + 10. Let u(q) = -17*q**2 + 290*q - 9. Let o be u(17). Determine g(o).
10
Suppose 2*w = -0*w. Suppose w = -g + 5*g - 32. Let r(d) = 3*d + 7. Let y(o) = 7*o + 14. Let l(f) = 9*r(f) - 4*y(f). Determine l(g).
-1
Let z(r) be the first derivative of -r**4/4 + 4*r**3/3 + r**2/2 - 7*r - 55. Give z(5).
-27
Let y(v) be the third derivative of v**5/40 - 2*v**3 - 3*v**2. Let w(h) be the first derivative of y(h). What is w(-2)?
-6
Let z = 45 - 38. Let a = 4 - 1. Let s(d) = d**2 - 10*d + 10. Let h(t) = -t**2 + 11*t - 11. Let n(y) = a*s(y) + 2*h(y). Calculate n(z).
1
Let v(m) = m**2 + m - 19. Let r(w) = -3*w**2 - 12*w + 80. Let z(f) = r(f) + 4*v(f). What is z(7)?
-3
Let h(b) = b**3 + 10*b**2 + 2*b - 4. Suppose 11*x + 866 = 756. Determine h(x).
-24
Let f(y) = y**3 - 9*y**2 + 17*y - 18. Let g be f(7). Let r(n) = 2*n**3 - 2*n**2 - 3*n - 2. Give r(g).
25
Let a(n) = -n + 3. Suppose -4*v - 4*o - 16 = 0, -2 = -4*v + 2*o + 6. Give a(v).
3
Let d(y) = y**3 + 2*y**2 + 2*y - 3. Let p be 1 - -1*(-8)/(-8). Determine d(p).
17
Let t(u) be the second derivative of -u**4/6 + u**3/3 - u**2/2 + u. Let p(s) = 0*s**2 + 294*s - 10 - 293*s + s**2. Let j be p(3). Determine t(j).
-5
Let b = 112 + -110. Let s(u) = -18*u + 7. What is s(b)?
-29
Let u(c) = -2*c**2 + 3*c + 47. Let h(v) = -3*v**2 + 6*v + 95. Let n(x) = -3*h(x) + 5*u(x). Let p(r) be the first derivative of n(r). What is p(2)?
-7
Suppose -4*u + 14 + 10 = 0. Suppose 0 = -8*r + 13 - 5. Let i(l) = -l**2 + 9*l - 3. Let q(t) = t - 1. Let d(j) = r*i(j) - 4*q(j). Give d(u).
-5
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the product of 11271.3 and -5?
-56356.5
What is the product of -24 and -35989?
863736
What is 293229 times -3?
-879687
What is the product of -79848 and 3?
-239544
What is 0.015 times 806.45?
12.09675
36 * -1468
-52848
Multiply 8 and -15593.
-124744
Work out 4 * 9211.
36844
-1435*0.032
-45.92
Multiply 0.12 and -10.405.
-1.2486
-0.26636 * -3
0.79908
Calculate 73*-1.79.
-130.67
-242.48 * 0.4
-96.992
10824 times 14
151536
Work out -4 * 354058.
-1416232
Calculate -28*20048.
-561344
0.5*61243
30621.5
What is 3255 times -538?
-1751190
-57*-5639
321423
-1 * -174722
174722
Product of -0.4 and 2885.65.
-1154.26
Multiply -2.1514 and -39.
83.9046
-2.011*-20.63
41.48693
Work out -430.34 * 4.
-1721.36
What is -175 times -18510?
3239250
-101 times 8.3
-838.3
2 * -3.19017
-6.38034
-0.019*2969
-56.411
Calculate 1213644*1.
1213644
Multiply 30957 and -1.
-30957
Multiply -4 and 3.7.
-14.8
Multiply -6 and -854.
5124
Product of -7 and 13.181.
-92.267
-10 times -0.133926
1.33926
What is the product of 1 and 4180?
4180
Work out 39.3347 * -3.
-118.0041
What is the product of 1129.58 and 0.7?
790.706
Calculate -0.4*-0.089255.
0.035702
Work out 3.023 * 236.
713.428
Multiply 8.75 and -13.1.
-114.625
Product of -9.999 and -30.
299.97
What is -4 times 7052?
-28208
Calculate -28*0.5027.
-14.0756
Multiply -10289 and -10.
102890
-26.6 times -0.0553
1.47098
0.043 times 36
1.548
Product of -2.8 and 0.0532.
-0.14896
Product of 13 and -93.
-1209
1*4622
4622
-0.47 times -30317
14248.99
Multiply 0.01 and -181523.
-1815.23
Calculate 11984.32*-3.
-35952.96
6.1429*-37
-227.2873
What is 0.2 times 251519?
50303.8
Product of 4 and -0.1288995.
-0.515598
What is the product of -77 and 59?
-4543
Calculate -67650*11.
-744150
-872471 times 0.4
-348988.4
Product of -2 and -115686.2.
231372.4
Product of -5.082 and -0.08.
0.40656
Product of 13.6 and 33.9.
461.04
Multiply -199348 and 0.06.
-11960.88
-44*137
-6028
5 times -7964
-39820
Work out 0.14 * -91.51.
-12.8114
Work out 0.02 * 2344.
46.88
-122 times 39.34
-4799.48
-0.1 * -164545
16454.5
Product of 27 and -138.3.
-3734.1
Product of -35 and 289.
-10115
-0.04*114.1
-4.564
1 * 3434.1
3434.1
Product of -2191 and 289.
-633199
Work out -1 * 9863.
-9863
Multiply 0.272 and 47.
12.784
Work out 0 * -2708.
0
-290 * 1.749
-507.21
Multiply -116426 and -41.
4773466
Product of 16.2262 and -0.55.
-8.92441
Calculate 0.23*-0.12941.
-0.0297643
What is 0.3 times 1.9212?
0.57636
-15.239*-0.016
0.243824
Calculate -215*999.
-214785
Work out -1.87553 * 2.5.
-4.688825
What is the product of 4 and 40.265?
161.06
What is the product of -1.5 and 28169?
-42253.5
What is the product of -557814.5 and 1?
-557814.5
Work out -21 * -282.
5922
Product of -9730 and 11.
-107030
Multiply -969098 and -0.2.
193819.6
Work out 0.6 * -25.836.
-15.5016
Calculate -0.041455*-0.5.
0.0207275
Multiply -399.5 and 0.222.
-88.689
Calculate 2*-11731.3.
-23462.6
Calculate 28*18.5.
518
-84791*4
-339164
What is the product of -0.0174 and -822?
14.3028
Product of 0.1 and -0.87716.
-0.087716
19 * 0.15684
2.97996
-100 times 2348
-234800
Product of 2007 and 0.4.
802.8
-2 times -146697
293394
Multiply -39 and -0.24827.
9.68253
Calculate 4*0.1258589.
0.5034356
What is -9.5 times 18.98?
-180.31
Work out 1.057 * -957.
-1011.549
42.07*-0.267
-11.23269
-54.129*-0.03
1.62387
What is the product of 3 and 182.9?
548.7
34 times 1416
48144
Multiply 12129 and 0.2.
2425.8
24818 times -2
-49636
2240*-19
-42560
Work out 5 * -152558.
-762790
-21250 * -5
106250
What is the product of 0.01011 and -35?
-0.35385
Work out 5963 * -1.1.
-6559.3
0.1 times 1021
102.1
Multiply -33282 and 4.
-133128
-1.5 times -42791
64186.5
4 * -160203
-640812
Calculate 2*-13.466.
-26.932
What is the product of -9966 and 49?
-488334
-11 * -35.1835
387.0185
What is -2.52 times -1106?
2787.12
Calculate 129*35.4.
4566.6
9.9*0.174
1.7226
-25774 times 6
-154644
Product of 12024 and 356.
4280544
Calculate 0.4*-1188.
-475.2
Product of 0.2 and 211.12.
42.224
Multiply -239834 and 0.2.
-47966.8
-483*4958
-2394714
Work out 1415464 * 0.1.
141546.4
Multiply 41 and 86615.
3551215
Multiply -0.2 and -17063.
3412.6
Product of 0.4 and 0.091526.
0.0366104
0.03 times -7.8557
-0.235671
Multiply 0.1 and -1085858.
-108585.8
Multiply -0.3 and 5712.
-1713.6
Product of 0.21 and -1773.
-372.33
What is -5296935 times 0.4?
-2118774
What is -19.3 times 16963?
-327385.9
-10181 * -23
234163
Work out 5 * -581362.
-2906810
What is -1.32 times 4.26?
-5.6232
Work out 120368 * 22.
2648096
-4186 times -1.4
5860.4
0.06 * 1293
77.58
-11319*-0.1
1131.9
-0.5 times -97568
48784
What is the product of 16 and 6791?
108656
-3 * 26353
-79059
0.2 times -53.9
-10.78
What is 0.06 times 28.04?
1.6824
Product of -35.3 and -156.
5506.8
Product of -0.0085 and 2360.
-20.06
0.039 times -645
-25.155
Product of 0.0219 and 0.042.
0.0009198
10854*0.02
217.08
-0.02*15483.4
-309.668
-0.5*-3437
1718.5
-0.951 times -133
126.483
-0.5 * -2143.3
1071.65
Work out 1327 * -8.5.
-11279.5
0.2 * 503.54
100.708
Calculate 0.04*20865.
834.6
Multiply -0.4 and 0.1174119.
-0.04696476
Product of 1.72 and -463.
-796.36
Product of -0.0466 and 0.179.
-0.0083414
-0.017 * 0.088397
-0.001502749
1 * -1626530
-1626530
Calculate 12296*0.6.
7377.6
What is the product of 2 and -1910.63?
-3821.26
5 times -0.42638
-2.1319
Calculate 1.9*-2619.
-4976.1
What is -6430.68 times 0.2?
-1286.136
Product of -94.66 and -0.8.
75.728
What is the product of 2 and 0.0287501?
0.0575002
Multiply -0.4 and 0.313246.
-0.1252984
-79155*-1
79155
Product of -13 and -131.04.
1703.52
Calculate 53897*-0.1.
-5389.7
Calculate -3071*-0.35.
1074.85
0.46 times -59
-27.14
Multiply 0.462 and -0.119.
-0.054978
Product of 0.1 and -234648.
-23464.8
Product of 106361 and -5.
-531805
Calculate -0.5*0.029349.
-0.0146745
Calculate 52*-9.1.
-473.2
24 times -0.03
-0.72
0.5*19657.5
9828.75
Calculate 0.04*-36913.
-1476.52
Product of 82 and 0.9725.
79.745
5 * 8.4367
42.1835
Work out 3 * 5796.3.
17388.9
What is the product of -0.21351 and -2.75?
0.5871525
Calculate 5808*-5.
-29040
24710 times -0.1
-2471
What is the product of -18426 and 0.05?
-921.3
0 times -0.719
0
-429668*3
-1289004
Product of 2.9 and 85.1.
246.79
Work out -228 * -271.
61788
What is 0.1 times 109.801?
10.9801
Work out 1407.4 * -5.
-7037
Calculate -0.2*567.
-113.4
-6 times 0.6832
-4.0992
-0.2*121014
-24202.8
-858.3 * 5
-4291.5
What is 6.8 times -432?
-2937.6
What is -143.321 times 0.3?
-42.9963
-25216 * 0.4
-10086.4
-2.86*-0.4042
1.156012
Work out 0.5 * -2.22886.
-1.11443
Work out -51423 * 17.
-874191
Calculate 0.5*0.0567539.
0.02837695
Calculate 21*-3925.
-82425
Multiply 0.016 and -0.356.
-0.005696
Multiply 19 and 236.81.
4499.39
What is the product of 0.8 and 431?
344.8
0.367 times -163
-59.821
-71*-0.1287
9.1377
Work out -0.3 * 106.32.
-31.896
Work out -8282 * -0.0336.
278.2752
-9 * 1.087
-9.783
0.9*-0.51895
-0.467055
Work out 0.4 * 34588.
13835.2
Multiply -19109 and 0.063.
-1203.867
7.7671 times -0.2
-1.55342
-1.513*0.0926
-0.1401038
What is the product of -0.1083 and 355?
-38.4465
4*-18934
-75736
-2889*0.0286
-82.6254
What is the product of 39.56 and 2?
79.12
What is -192 times 1.5?
-288
Multiply 235.5 and -0.0777.
-18.29835
Calculate 2*0.06065.
0.1213
Work out 3 * -32223.
-96669
Work out -53.8 * 0.6.
-32.28
What is 0.2 times -5273?
-1054.6
Calculate -0.06*0.86154.
-0.0516924
-4*-72148
288592
-2.3 times 5.878
-13.5194
What is -781.79 times -1?
781.79
What is the product of 0.21824 and -11.3?
-2.466112
What is the product of 1118 and -0.3?
-335.4
9 * -364
-3276
Product of -45750 and 2.
-91500
Calculate -2*-1.52862.
3.05724
Work out 0.4 * 477.49.
190.996
Work out 1538.1 * 331.
509111.1
What is -0.02 times -5647?
112.94
Product of 5 and -39329.
-196645
What is -17 times -34.3?
583.1
Multiply 1 and 1376.
1376
What is 0.09 times 17099?
1538.91
-2957 times -0.06
177.42
-33*2288
-75504
Work out 64.3 * -0.044.
-2.8292
Multiply 0.078 and 99.
7.722
-52464*0.3
-15739.2
Work out 6.94 * 21.
145.74
Multiply 6399 and -0.3.
-1919.7
-0.3*0.085421
-0.0256263
Calculate -1208*-0.079.
95.432
What is the product of -32.6 and 66.4?
-2164.64
Multiply -593186 and 3.
-1779558
Work out -0.247 * 0.03694.
-0.00912418
Product of -0.02 and -92681.
1853.62
6.02 times -197
-1185.94
-136.3 * -57
7769.1
What is the product of -238
|
{
"pile_set_name": "DM Mathematics"
}
|
e prob of picking 4 p.
1/35
Two letters picked without replacement from wmowwowavoav. What is prob of picking 1 a and 1 o?
1/11
What is prob of picking 1 h, 1 b, 1 f, and 1 j when four letters picked without replacement from {j: 5, f: 2, h: 4, b: 2, n: 1}?
80/1001
Four letters picked without replacement from jixpjxpjjjxjpxppiiix. What is prob of picking 4 j?
1/323
Three letters picked without replacement from sdaiadiddi. Give prob of picking 1 a, 1 i, and 1 d.
1/5
What is prob of picking 4 f when four letters picked without replacement from {e: 4, m: 3, f: 5, u: 4, v: 1, s: 3}?
1/969
Four letters picked without replacement from {f: 1, c: 3, p: 5, o: 10, i: 1}. Give prob of picking 1 f, 1 p, 1 c, and 1 o.
10/323
What is prob of picking 2 b and 1 z when three letters picked without replacement from zzbbbbzzzbzzzzzz?
11/56
Calculate prob of picking 2 x when two letters picked without replacement from {g: 10, u: 1, x: 9}.
18/95
Three letters picked without replacement from {y: 2, d: 4}. What is prob of picking 2 y and 1 d?
1/5
What is prob of picking 1 m and 2 b when three letters picked without replacement from {u: 4, b: 2, c: 1, h: 1, m: 2}?
1/60
Two letters picked without replacement from {b: 4, l: 1, t: 2, y: 3}. Give prob of picking 1 l and 1 b.
4/45
What is prob of picking 1 o and 1 e when two letters picked without replacement from {e: 2, x: 3, o: 3, y: 1, j: 2, s: 1}?
1/11
What is prob of picking 2 x when two letters picked without replacement from {h: 1, x: 14}?
13/15
Two letters picked without replacement from {o: 1, t: 3, h: 3, y: 3, s: 1}. What is prob of picking 1 h and 1 o?
3/55
Two letters picked without replacement from {p: 4, o: 2, w: 1}. What is prob of picking 1 w and 1 p?
4/21
Two letters picked without replacement from {q: 2, d: 6, p: 1, a: 4}. What is prob of picking 1 d and 1 p?
1/13
Two letters picked without replacement from {a: 1, h: 2, i: 7, s: 9}. Give prob of picking 1 s and 1 i.
7/19
What is prob of picking 3 p when three letters picked without replacement from {k: 2, p: 4, c: 7}?
2/143
What is prob of picking 1 q and 2 d when three letters picked without replacement from duqqdqqdkkquduqdqdk?
35/323
Two letters picked without replacement from {i: 3, p: 4, v: 1, c: 1, k: 9}. Give prob of picking 1 c and 1 v.
1/153
Two letters picked without replacement from {i: 1, m: 5, s: 2, l: 1, b: 5, o: 1}. Give prob of picking 2 m.
2/21
What is prob of picking 3 j when three letters picked without replacement from {z: 1, b: 6, q: 3, j: 5}?
2/91
What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 6, m: 1, n: 1, i: 1, j: 4, g: 2}?
2/35
Calculate prob of picking 3 v and 1 q when four letters picked without replacement from {v: 5, q: 7}.
14/99
Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {w: 2, x: 2, c: 8, p: 2, b: 1}.
2/105
Calculate prob of picking 4 w when four letters picked without replacement from {w: 7}.
1
Four letters picked without replacement from qfnennwsfnnnenwwnsnn. What is prob of picking 1 n, 1 q, and 2 w?
2/323
Four letters picked without replacement from {f: 5, j: 5}. What is prob of picking 1 f and 3 j?
5/21
What is prob of picking 4 u when four letters picked without replacement from {s: 5, n: 7, r: 2, u: 5}?
5/3876
What is prob of picking 1 p and 2 f when three letters picked without replacement from pppppppppfpppppppppf?
3/190
What is prob of picking 1 c and 1 a when two letters picked without replacement from {r: 1, a: 1, c: 1, b: 2, g: 1, e: 1}?
1/21
Four letters picked without replacement from xsysxxxxlaxxxxxxxllx. What is prob of picking 1 a and 3 y?
0
Two letters picked without replacement from zfshssfsfzfff. Give prob of picking 1 z and 1 h.
1/39
Calculate prob of picking 3 x when three letters picked without replacement from {x: 9, f: 3}.
21/55
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from iffwfwfwiiii.
2/11
Two letters picked without replacement from {j: 15, g: 3}. What is prob of picking 1 g and 1 j?
5/17
Three letters picked without replacement from nnqqqrrnqqqcnqqqq. What is prob of picking 1 c and 2 q?
9/136
Calculate prob of picking 3 a and 1 p when four letters picked without replacement from amaaawmpaaapaaai.
12/91
What is prob of picking 1 c and 3 i when four letters picked without replacement from {v: 3, i: 5, c: 1}?
5/63
Two letters picked without replacement from {p: 2, f: 1, t: 1}. What is prob of picking 1 t and 1 f?
1/6
Three letters picked without replacement from otqootooototooqooto. What is prob of picking 1 q and 2 t?
20/969
What is prob of picking 3 r when three letters picked without replacement from {r: 7, i: 6}?
35/286
Four letters picked without replacement from goaotagggrgokog. What is prob of picking 1 g and 3 o?
8/455
Two letters picked without replacement from eededoeedeezezbeer. Give prob of picking 1 b and 1 r.
1/153
What is prob of picking 2 n when two letters picked without replacement from nxnnnnnnnnnn?
5/6
Three letters picked without replacement from {x: 3, p: 11}. What is prob of picking 3 x?
1/364
Three letters picked without replacement from {k: 4, m: 1, h: 2, u: 3}. Give prob of picking 1 h, 1 k, and 1 u.
1/5
Calculate prob of picking 2 n, 1 k, and 1 w when four letters picked without replacement from {w: 1, v: 1, t: 5, s: 4, n: 3, k: 3}.
9/2380
Two letters picked without replacement from {t: 3, n: 12}. Give prob of picking 1 t and 1 n.
12/35
Three letters picked without replacement from ebzzf. What is prob of picking 1 b and 2 z?
1/10
Three letters picked without replacement from {a: 1, h: 1, i: 3}. Give prob of picking 2 i and 1 h.
3/10
What is prob of picking 2 t when two letters picked without replacement from aacascvtafatc?
1/78
What is prob of picking 1 r and 1 s when two letters picked without replacement from {h: 1, s: 1, d: 1, r: 2}?
1/5
Two letters picked without replacement from gfkeguk. Give prob of picking 2 g.
1/21
Three letters picked without replacement from hsshh. Give prob of picking 2 h and 1 s.
3/5
Two letters picked without replacement from {y: 1, v: 7, l: 3, f: 1}. Give prob of picking 2 l.
1/22
Calculate prob of picking 2 p and 1 i when three letters picked without replacement from pupipupuiiup.
3/22
Three letters picked without replacement from fzwfffzww. What is prob of picking 3 w?
1/84
Two letters picked without replacement from wwttdtwdwwwxxwwtt. Give prob of picking 1 d and 1 w.
2/17
What is prob of picking 2 n when two letters picked without replacement from ncncccnc?
3/28
Two letters picked without replacement from {s: 1, b: 2, p: 4}. Give prob of picking 1 b and 1 p.
8/21
Four letters picked without replacement from uuuuuuuuuruu. Give prob of picking 4 u.
2/3
Four letters picked without replacement from {y: 2, q: 5, g: 2}. Give prob of picking 3 q and 1 g.
10/63
Four letters picked without replacement from {o: 6, z: 1, t: 4, w: 3}. Give prob of picking 2 w, 1 z, and 1 o.
18/1001
Four letters picked without replacement from {w: 3, z: 2}. Give prob of picking 2 z and 2 w.
3/5
Two letters picked without replacement from sswowi. Give prob of picking 2 s.
1/15
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {b: 1, g: 2, t: 1, v: 1, o: 4}.
1/36
Two letters picked without replacement from {w: 1, b: 5, r: 3, x: 1, p: 1}. Give prob of picking 1 x and 1 b.
1/11
What is prob of picking 1 m, 1 o, 1 c, and 1 g when four letters picked without replacement from {m: 10, v: 1, c: 2, g: 1, o: 3}?
3/119
Three letters picked without replacement from cxxjxcx. What is prob of picking 1 j and 2 c?
1/35
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from sggrgzzgsrrgggrggr.
10/153
Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, y: 7, z: 1, v: 1}.
10/91
Calculate prob of picking 2 l and 1 o when three letters picked without replacement from olcclcooocolllo.
12/91
Two letters picked without replacement from ylyjmlljjs. Give prob of picking 1 y and 1 j.
2/15
What is prob of picking 1 d and 3 q when four letters picked without replacement from nnqnndtnqbqn?
1/495
What is prob of picking 2 g when two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
e the greatest common factor of 3531 and 99.
33
What is the highest common factor of 72 and 338?
2
Calculate the greatest common divisor of 11395 and 129.
43
What is the greatest common divisor of 42 and 294?
42
What is the highest common factor of 936 and 1368?
72
Calculate the highest common factor of 57 and 81.
3
Calculate the greatest common factor of 41 and 4961.
41
Calculate the greatest common factor of 27 and 1.
1
Calculate the greatest common factor of 12048 and 48.
48
What is the greatest common factor of 14 and 658?
14
What is the highest common factor of 930 and 96?
6
Calculate the highest common factor of 1067 and 88.
11
Calculate the greatest common divisor of 18 and 156.
6
What is the greatest common divisor of 42 and 4046?
14
Calculate the highest common divisor of 30 and 84.
6
What is the highest common factor of 528 and 48?
48
Calculate the greatest common divisor of 18 and 192.
6
Calculate the greatest common factor of 223 and 2.
1
Calculate the greatest common divisor of 68 and 952.
68
Calculate the greatest common factor of 124 and 899.
31
What is the highest common factor of 1679 and 92?
23
What is the highest common divisor of 224 and 1008?
112
What is the greatest common divisor of 216 and 120?
24
What is the highest common divisor of 50 and 800?
50
Calculate the highest common factor of 1008 and 2632.
56
Calculate the highest common divisor of 106 and 157834.
106
What is the highest common divisor of 52 and 403?
13
Calculate the highest common divisor of 2124 and 590.
118
Calculate the highest common factor of 23 and 368.
23
Calculate the highest common factor of 315 and 651.
21
What is the highest common divisor of 282 and 8601?
141
What is the greatest common factor of 1099 and 2983?
157
What is the greatest common divisor of 20 and 92?
4
What is the greatest common factor of 44 and 11759?
11
What is the highest common factor of 4 and 212?
4
Calculate the greatest common divisor of 136 and 11475.
17
Calculate the highest common factor of 5885 and 11.
11
Calculate the highest common factor of 92 and 13892.
92
What is the highest common divisor of 81 and 111213?
81
Calculate the highest common factor of 32 and 592.
16
Calculate the highest common divisor of 120 and 8250.
30
What is the highest common factor of 1292 and 476?
68
What is the highest common divisor of 74 and 2?
2
Calculate the greatest common factor of 25884 and 36.
36
Calculate the greatest common factor of 8376 and 8.
8
Calculate the highest common divisor of 288 and 162.
18
Calculate the greatest common divisor of 60 and 90.
30
Calculate the highest common divisor of 3008 and 94.
94
Calculate the highest common divisor of 3006 and 36.
18
Calculate the greatest common divisor of 42 and 15610.
14
What is the highest common divisor of 6 and 1250?
2
Calculate the greatest common divisor of 24582 and 306.
102
Calculate the highest common factor of 7 and 91.
7
What is the highest common divisor of 1131 and 195?
39
What is the highest common factor of 14 and 3682?
14
Calculate the greatest common divisor of 56 and 70.
14
Calculate the highest common divisor of 880 and 22176.
176
Calculate the greatest common factor of 7003 and 447.
149
What is the greatest common divisor of 45 and 720?
45
What is the highest common factor of 24 and 264?
24
What is the greatest common factor of 520 and 10504?
104
Calculate the greatest common factor of 3010 and 168.
14
What is the highest common divisor of 496 and 176?
16
Calculate the highest common factor of 913 and 77.
11
What is the greatest common factor of 176 and 22?
22
What is the highest common factor of 13228 and 4?
4
Calculate the highest common divisor of 2148 and 12.
12
Calculate the greatest common factor of 12 and 4512.
12
Calculate the greatest common factor of 1701 and 63.
63
Calculate the greatest common divisor of 112 and 98.
14
What is the greatest common factor of 1573 and 33?
11
Calculate the highest common divisor of 3228 and 204.
12
Calculate the highest common divisor of 26 and 143.
13
Calculate the highest common divisor of 25 and 85.
5
Calculate the highest common factor of 15180 and 528.
132
What is the greatest common factor of 47520 and 22?
22
Calculate the greatest common factor of 575 and 92.
23
Calculate the greatest common factor of 1887 and 51.
51
What is the greatest common divisor of 30 and 3966?
6
What is the highest common factor of 22 and 1782?
22
Calculate the greatest common divisor of 1875 and 975.
75
What is the greatest common divisor of 7289 and 37?
37
What is the highest common factor of 18 and 288?
18
What is the greatest common factor of 159 and 3?
3
Calculate the greatest common divisor of 27899 and 69.
23
What is the greatest common factor of 259 and 148?
37
What is the highest common factor of 125 and 6925?
25
What is the highest common divisor of 527 and 17?
17
Calculate the highest common divisor of 4402 and 62.
62
What is the greatest common divisor of 387 and 36?
9
Calculate the highest common divisor of 195 and 1665.
15
Calculate the greatest common factor of 26 and 117.
13
Calculate the greatest common divisor of 66 and 1166.
22
What is the greatest common factor of 33 and 297?
33
What is the greatest common divisor of 2378 and 58?
58
What is the highest common factor of 40 and 60?
20
Calculate the highest common factor of 220 and 110.
110
What is the highest common divisor of 27008 and 256?
128
Calculate the greatest common factor of 1469 and 13.
13
What is the greatest common factor of 90 and 920?
10
What is the greatest common divisor of 106 and 2862?
106
What is the greatest common factor of 808 and 24?
8
Calculate the highest common factor of 300 and 65.
5
What is the greatest common factor of 212 and 4?
4
What is the highest common divisor of 1384 and 256?
8
What is the greatest common divisor of 897 and 221?
13
Calculate the highest common factor of 345 and 105.
15
What is the greatest common divisor of 107 and 35417?
107
Calculate the greatest common factor of 126 and 21.
21
Calculate the highest common divisor of 4596 and 3.
3
Calculate the highest common factor of 147 and 2331.
21
What is the highest common factor of 1480 and 8?
8
What is the highest common factor of 703 and 19?
19
What is the highest common divisor of 3528 and 140?
28
Calculate the greatest common divisor of 91 and 56.
7
What is the highest common divisor of 371 and 7?
7
What is the greatest common divisor of 589 and 133?
19
What is the highest common divisor of 374 and 44?
22
Calculate the highest common factor of 152 and 19.
19
What is the highest common factor of 1858 and 14?
2
Calculate the highest common factor of 8512 and 28.
28
Calculate the highest common factor of 150 and 6330.
30
What is the greatest common factor of 56 and 140?
28
What is the highest common factor of 21 and 57?
3
Calculate the greatest common factor of 160 and 60.
20
What is the highest common factor of 39 and 195?
39
Calculate the greatest common factor of 30 and 51.
3
Calculate the greatest common factor of 65 and 2548.
13
What is the highest common factor of 250 and 10?
10
What is the highest common factor of 28 and 1932?
28
What is the highest common divisor of 710 and 60?
10
What is the greatest common factor of 132 and 11?
11
What is the highest common divisor of 693 and 495?
99
What is the greatest common divisor of 551 and 58?
29
Calculate the highest common divisor of 105 and 2121.
21
Calculate the highest common factor of 3111 and 153.
51
What is the highest common divisor of 187 and 34?
17
Calculate the highest common factor of 656 and 208.
16
What is the greatest common factor of 170 and 306?
34
What is the highest common divisor of 310 and 570?
10
What is the greatest common divisor of 168 and 84?
84
What is the greatest common factor of 2170 and 70?
70
What is the greatest common divisor of 1 and 32?
1
Calculate the highest common divisor of 12719 and 161.
161
What is the highest common divisor of 37 and 3811?
37
What is the highest common factor of 102 and 357?
51
What is the highest common divisor of 966 and 84?
42
Calculate the highest common divisor of 102 and 119.
17
Calculate the highest common divisor of 21312 and 96.
96
Calculate the greatest common factor of 3 and 29.
1
Calculate the grea
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -1 + 1 = 3*a. Suppose k - 10*k + 4725 = a. Suppose k = 8*d - d. Is 15 a factor of d?
True
Suppose 7280 = 4*q - 19*t + 9*t, 2*q - 3636 = 4*t. Is q a multiple of 22?
False
Let h(x) = 21*x**2 - 19*x + 44. Is h(8) a multiple of 3?
True
Suppose 21*d - 6960 = 9*d. Let t = 828 - d. Is 31 a factor of t?
True
Does 57 divide 2*((-400632)/(-112) - (93/(-21) + 5))?
False
Let k = 1886 - 122. Is 63 a factor of k?
True
Let c(x) = 5*x - 83. Suppose -283*s - 32 = -284*s. Is c(s) a multiple of 4?
False
Is 10 a factor of 261/145 - (-1)/5 - -349?
False
Let m(p) = 53*p**3 + 3*p**2 + 11*p - 29. Is m(5) a multiple of 19?
True
Let q(v) = -52*v + 40. Let u be q(-2). Is 19 a factor of (-206)/(-7) + u/(-336)?
False
Let r(k) = k**2 + 9*k - 15. Let y be r(-11). Is 577 - y/(-63)*-9 a multiple of 36?
True
Suppose 438*u - 4 = 436*u, 2*d - u = 534. Is 4 a factor of d?
True
Let y(o) = -3*o**3 - 6*o**2. Let n(l) = -7*l**3 - 12*l**2 - l - 1. Let k(p) = 2*n(p) - 5*y(p). Let z be k(-5). Let s = 59 - z. Is s a multiple of 13?
True
Is (-6)/10 - ((-79656720)/50)/44 a multiple of 9?
True
Suppose -755*o = 3*b - 754*o - 11357, 0 = -b - o + 3787. Does 5 divide b?
True
Let z = -638 - -641. Suppose 3*y = -3*n + 453, z*n - 3*y - 229 = 248. Is 11 a factor of n?
False
Let o(d) = -85*d**3 + 3*d**2 - 15*d + 8. Let l(b) = 127*b**3 - 4*b**2 + 23*b - 12. Let x(n) = -5*l(n) - 8*o(n). Is x(2) a multiple of 15?
False
Let w(n) = 16*n + 3. Let m(i) = -i. Let k(j) = -5*m(j) - w(j). Let p(o) = -566*o + 2262. Let t be p(4). Does 19 divide k(t)?
True
Let f(z) = -3*z**3 + 3*z**2 + 3*z - 1. Let h be f(-2). Let t(j) = j**3 - 28*j**2 - 20*j + 5. Is 8 a factor of t(h)?
False
Is 263660/130 - (-16)/(-104) a multiple of 6?
True
Suppose 0 = m + 3*g - 11, g - 16 = -2*m - 3*g. Suppose m*j - 20 = -16. Suppose 0 = -q + 2*q + 4*y - 23, 3*y = j*q - 13. Does 11 divide q?
True
Let f = 19713 + -16111. Does 33 divide f?
False
Let g(d) = -9*d + 10. Let i(n) = -n**2 + 1. Let v(z) = g(z) - 6*i(z). Does 8 divide v(-5)?
False
Suppose 91*u - 8 = 87*u. Does 19 divide (-16)/(-3)*u*(-456)/(-32)?
True
Suppose 153 = -9*g - 162. Does 60 divide (-2165)/3*63/g?
False
Let i = 563 + -560. Is 87 a factor of ((-2 - -30) + 1)/(i/171)?
True
Let c = -9152 - -31289. Does 157 divide c?
True
Suppose -79*l = -85*l + 36. Let u(o) = 76*o - 22. Does 12 divide u(l)?
False
Suppose -54*l = -103843 - 43955. Is 8 a factor of l?
False
Let w = -90 + 100. Suppose 9*o - w = 8. Suppose o*k - 116 = 48. Is k a multiple of 11?
False
Let h(q) = q**2 - 43. Suppose 0*y - 84 = -6*y. Does 3 divide h(y)?
True
Does 150 divide 0/(-161) - 20400/(-1)?
True
Let p be (-2 - (-15)/5)*4. Suppose 0 = -n - p - 0. Is 41 a factor of (-880)/(-11) + (-2 - n)?
True
Let m be (-9)/(-2 + (-7)/(-2)). Let n be (-3)/(m/4) + (-1 - -3). Suppose -3*s - 4*z = -6*z - 53, n*z = -3*s + 65. Does 13 divide s?
False
Suppose 0 = -6*l + 482 + 148. Suppose 5*s - 907 = -3*w, -w + l = s - 198. Suppose -5*n + w = 3*h, -n - 194 = -3*h + h. Is h a multiple of 24?
False
Let d be ((-3883)/22)/(3/(-6)). Suppose 0 = -133*v + 134*v - d. Is v a multiple of 8?
False
Suppose 3357 = 9*x - 443 - 3040. Is x a multiple of 5?
True
Is (1298/(-12))/(-7*(-12)/840)*-3 a multiple of 11?
True
Let w = 17622 + -2770. Does 127 divide w?
False
Is ((-268)/10)/((-157)/80070) a multiple of 69?
False
Let v(t) = -243*t + 122*t + 143*t - 34. Is 19 a factor of v(5)?
True
Let m(t) = t**3 + 9*t**2 - 10*t + 5. Let i be m(-10). Suppose 4*s + i*l = 4214, -8*s + 3*s + 5288 = -4*l. Is s a multiple of 88?
True
Let b be (-1302)/126 + 4/3. Is (-382)/(-8)*(b - -8)*-4 a multiple of 10?
False
Suppose 0 = 5*s - 7*s - 4, 0 = 5*d - 5*s - 20. Suppose 0*h = -3*h - d*j + 312, -104 = -h + 5*j. Is 47 a factor of h?
False
Let z(r) = -151*r + 2233. Does 54 divide z(13)?
True
Let u(y) = 4 + 4 + 4 + y - 2. Let d be u(-5). Suppose 433 + 132 = d*b. Does 15 divide b?
False
Is 187 + 12/(-10 + 12) a multiple of 4?
False
Let w = -193 + 102. Let c = w + 258. Does 18 divide c?
False
Let t = 304 + -299. Let h(v) = 92*v - 81. Is h(t) a multiple of 35?
False
Let c(r) = 17*r - 2*r**2 - 12*r + r**3 - 9*r + 9. Let w be 74/18 - (-3)/(-27). Is 5 a factor of c(w)?
True
Suppose -8*f + 16745 = 4353. Suppose -3*r = -f + 523. Is 19 a factor of r?
True
Is 3336 - 36/96*16 a multiple of 45?
True
Suppose 3606 + 3282 = 20*w - 9892. Is w a multiple of 79?
False
Suppose 13824 = -2*i + 4*i - 4*h, -7*i + 3*h = -48296. Is 16 a factor of i?
True
Let f be 180/36 + 7*1. Suppose 2*s - 6 = 0, 3*u - s - 3*s = f. Is 2 a factor of u?
True
Let p be (-2)/(-4 + 2)*(1 - 2). Is (38 - 0 - -1)/(p/(-3)) a multiple of 9?
True
Let a(r) = 2*r + 12024. Is 27 a factor of a(0)?
False
Let a(x) = 3*x**2 - 22*x - 428. Does 11 divide a(35)?
False
Let r = 1640 + -85. Suppose -4*a - 362 + 2439 = 5*f, -f + r = 3*a. Is a a multiple of 15?
False
Suppose 13*l - 5853 = 131427. Is 132 a factor of l?
True
Let b = 4 + -2. Let m be ((-6)/54*0)/(-2). Suppose f + m*l - 3 = -2*l, 3*f + b*l = 21. Does 3 divide f?
True
Suppose -2*a - 3*h + h = -774, 387 = a - 2*h. Let y = a + -157. Suppose n + y = 6*n. Is n a multiple of 16?
False
Let g = -145 - -79. Let o = g + 75. Suppose 360 = -o*u + 15*u. Does 10 divide u?
True
Suppose -8*o + 36 - 20 = 0. Suppose -32 = -5*s - o*h, 0*h - 9 = -2*s + 3*h. Let x(f) = 10*f + 14. Is x(s) a multiple of 14?
False
Let q be 3*10*5/10. Suppose -q*z = -9*z - 288. Is 4 a factor of z?
True
Let u(k) be the first derivative of 35*k**2 - 18*k - 1. Is u(3) a multiple of 43?
False
Let u(x) = x - 6. Let h be u(6). Let v be (-1)/(-4)*(46864/87)/(4/6). Suppose -5*o + 1048 = -h*r - 4*r, -o = 3*r - v. Does 48 divide o?
False
Let i(u) = -16 + 0*u**2 + 0 + 7*u**2 - 9*u - 13*u**3 + 5*u**2 + 14*u**3. Is i(-9) a multiple of 11?
True
Suppose 0 = 43*i - 42437 - 83123. Is i a multiple of 12?
False
Suppose 48*x + 13307 = 406427. Is x a multiple of 234?
True
Suppose 23 = 3*q + i, 17*i - 13*i + 10 = 5*q. Suppose -216 = -q*m + 504. Is 4 a factor of m?
True
Suppose 3*n + 2*f + 0*f = 34, 45 = 4*n + 3*f. Suppose -14*c = -11*c - n, -3*c = 2*o - 184. Is o a multiple of 6?
False
Is 89 a factor of -2 + (-169130)/(-13) - 14?
True
Let v(b) = 26*b**2 + 114*b - 6. Suppose 0 = -3*l + 6*l - 5*h + 26, -4*l + 2*h - 30 = 0. Is v(l) a multiple of 10?
True
Does 28 divide 9/72 + 134388/96?
True
Suppose 0 = r - f - 2, r - 2*f + 7*f - 26 = 0. Let l be (102/10)/(-3) + (-242)/(-605). Does 27 divide (-246)/(-4) - l/r?
False
Let u be (77/231)/((-2)/(-114)). Suppose -u*l + 46*l - 4077 = 0. Is 17 a factor of l?
False
Suppose 0*r = r, -t - 8*r + 11*r = -672. Does 28 divide t?
True
Suppose -5*o - 4*f = -40, -3*f = 3*o + 2*o - 35. Suppose w + 2*k = -2*k + 601, 2446 = o*w - 5*k. Is w a multiple of 7?
True
Let c(v) be the first derivative of 11 + 2*v**2 - 4 - 10 - 14*v. Does 9 divide c(8)?
True
Suppose -22*k + 17*k + 5160 = 3*x, -4*k - 4*x + 4120 = 0. Is 69 a factor of k?
True
Suppose -4*m = 16, -12*i + m + 199 = -11*i. Does 39 divide i?
True
Suppose 0 = -7*g + 5578 - 1714. Let k be (-1)/(-2)*8646/(-11). Let x = k + g. Does 41 divide x?
False
Let b(p) = 26*p**2 - 9*p - 3. Let c(y) = -y**2 + y. Let q(m) = b(m) + 6*c(m). Let t be q(-1). Suppose -13*v - t = -14*v. Does 4 divide v?
True
Suppose -28*j + 23*j - 20 = -f, -8 = 2*f + 2*j. Suppose f = -z + 2*z + u - 571, z - 581 = -3*u. Is z a multiple of 42?
False
Suppose 201655 = 70*o - 25*o - 47780. Does 2 divide o?
False
Let h(f) be the third derivative of f**6/720 + 11*f**5/60 + 17*f**4/24 + 8*f**2. Let b(d) be the second derivative of h(d). Is b(-6) a multiple of 8?
True
Let d(y) be the first derivative of 2*y**3/3 - 2*y**2 - 14*y + 6. Does 23 divide d(-9)?
True
Let h = 248 + -117. Suppose -4*o - 51 = -i, -3*i + 364 = 4*o + h. Is 9 a factor of i?
False
Suppose -37*p + 98077 = p + 22837. Does 12 divide p?
True
Let v be 2*((-4)/(-26) + 175/130). Suppose 3*o - 15 = -4*f + 12, 0 = f - v. Suppose 363 = o*l - 22. Is l a multiple of 11?
True
Let d = -2413 + 2565. Is d a multiple of 10?
False
Let k(c) = -5*c - 28. Let h(y) be the third derivative of y**5/60 - y**4/2 + 4*y**3/3 - 12*y**2. Let t be h(10). Is k(t) a multiple of 32?
True
Suppose 5*z - 6131 = -4*l, z + 3*l - 121 = 1103. Let g = z + -478. Is g a multiple of 17?
False
Let v be -1 - 1 - (-1182)/(-2)*-1. Suppose -2*s = -3*p - s + 911, -v = -2*p - 3*s. Is p a m
|
{
"pile_set_name": "DM Mathematics"
}
|
is -161 + -6?
-167
In base 6, what is -13 - 14523?
-14540
In base 16, what is -2 - -11f?
11d
In base 10, what is 1 + 66?
67
In base 3, what is -12101 + 1022?
-11002
In base 5, what is 3 - 32212?
-32204
In base 16, what is 9 - -2?
b
In base 9, what is -54 - -1?
-53
In base 5, what is 34131 + 1?
34132
In base 5, what is -110 + -20?
-130
In base 3, what is 2201 + 120?
10021
In base 16, what is -4 + -11d8?
-11dc
In base 12, what is -13 - 2?
-15
In base 8, what is -56 + 12?
-44
In base 8, what is -4 - 517?
-523
In base 12, what is -2 - a?
-10
In base 3, what is -2 + 1000?
221
In base 13, what is 62 - -14?
76
In base 13, what is 4 + 13?
17
In base 16, what is 4 - 2a1?
-29d
In base 5, what is 0 - 33044?
-33044
In base 16, what is -c3 + 2?
-c1
In base 2, what is -10001100010110 - 11?
-10001100011001
In base 7, what is -2 + 653?
651
In base 14, what is 3 + 60?
63
In base 6, what is -410 + 3?
-403
In base 12, what is -9 + 30a?
301
In base 11, what is a + 2?
11
In base 13, what is -2 + 17?
15
In base 12, what is -296 - -3?
-293
In base 7, what is -21133 - -1?
-21132
In base 14, what is 2b - 2?
29
In base 14, what is -14 + -2b?
-41
In base 16, what is 1e2 + 3?
1e5
In base 8, what is 155 - -1?
156
In base 13, what is 363 - 1?
362
In base 11, what is -5 - 205?
-20a
In base 8, what is 271 + -6?
263
In base 11, what is 7 + -a?
-3
In base 2, what is 1110101110 + -10?
1110101100
In base 12, what is 0 - 1b?
-1b
In base 7, what is -131534 + 5?
-131526
In base 13, what is 3 + a?
10
In base 3, what is 10120201 - 22?
10120102
In base 16, what is 11 + -4?
d
In base 8, what is 3022 + 5?
3027
In base 9, what is 5 + 3084?
3100
In base 14, what is -4 - d5c?
-d62
In base 12, what is 126 + 0?
126
In base 5, what is -14044 - 2?
-14101
In base 14, what is 1833 - 5?
182c
In base 2, what is -1 - 1010100110?
-1010100111
In base 6, what is -30 + -420?
-450
In base 8, what is -2 - 244?
-246
In base 4, what is -1 - 10303?
-10310
In base 11, what is -103 - -96?
-18
In base 11, what is 227 - 4?
223
In base 8, what is 5 - -113?
120
In base 8, what is -3 + 142?
137
In base 15, what is -3 - 30?
-33
In base 5, what is 412 - 10?
402
In base 13, what is 6 + -ac?
-a6
In base 9, what is -2201 + 3?
-2187
In base 4, what is -133110 - -3?
-133101
In base 3, what is -100 + -2110?
-2210
In base 12, what is 40 - -5?
45
In base 4, what is -2230 - 13?
-2303
In base 14, what is 1 - -8?
9
In base 12, what is -11 - -22b?
21a
In base 11, what is -376 + -5?
-380
In base 16, what is 116 + -5?
111
In base 11, what is -9 + -7?
-15
In base 13, what is -5 - -126a?
1265
In base 12, what is -3a5 + 3?
-3a2
In base 12, what is 19 - b?
a
In base 7, what is 4 - 116?
-112
In base 4, what is 12 + 220?
232
In base 4, what is -11010111 + -10?
-11010121
In base 9, what is -8 - -284?
275
In base 11, what is -45 - -66?
21
In base 11, what is -124 - 1?
-125
In base 5, what is -3 - -201200?
201142
In base 15, what is 767 - 0?
767
In base 2, what is 11000000011 - -1?
11000000100
In base 13, what is -23a + -2?
-23c
In base 6, what is 12544 - 2?
12542
In base 9, what is -5 - -1515?
1510
In base 12, what is -35 - -8?
-29
In base 11, what is -45 - -28?
-18
In base 2, what is -11010010 - 1?
-11010011
In base 2, what is -10000010 - -111?
-1111011
In base 8, what is -13 + 13?
0
In base 2, what is 11 + 1010?
1101
In base 6, what is 2110 + 5?
2115
In base 6, what is -33204 + -4?
-33212
In base 9, what is 381 - 5?
375
In base 15, what is -81 + 1?
-80
In base 4, what is -222 - 11110?
-11332
In base 2, what is 0 - -100110010110?
100110010110
In base 16, what is 3 - -114?
117
In base 13, what is -77c - -4?
-778
In base 4, what is 3231 - -11?
3302
In base 12, what is -36 - -251?
217
In base 11, what is -30 + -7?
-37
In base 13, what is -72 + -12?
-84
In base 6, what is -3140 + -11?
-3151
In base 15, what is 2 - 85?
-83
In base 3, what is 21 - -1112000?
1112021
In base 4, what is -113 + -12?
-131
In base 7, what is 2 + -10?
-5
In base 2, what is -101111 - 11?
-110010
In base 6, what is 3 + -1344?
-1341
In base 11, what is -53 - -1?
-52
In base 4, what is 2232 - -30?
2322
In base 5, what is 4003 - -2?
4010
In base 4, what is 2011 - 3?
2002
In base 9, what is 57 + -4?
53
In base 16, what is -20c + 2?
-20a
In base 8, what is -431 + -4?
-435
In base 5, what is -3 - 13412?
-13420
In base 12, what is -3b6 - -14?
-3a2
In base 13, what is -2 + -b8?
-ba
In base 9, what is -2 + -202?
-204
In base 8, what is 70 - -5?
75
In base 5, what is 22 + -4?
13
In base 8, what is -2 + 10631?
10627
In base 5, what is -22 + -442?
-1014
In base 12, what is -16 + 2?
-14
In base 11, what is 6 - 10?
-5
In base 9, what is -31 - -5?
-25
In base 3, what is -1111112 - -11?
-1111101
In base 4, what is -13 - 1201?
-1220
In base 8, what is 0 + 175?
175
In base 2, what is -100 + 1011010?
1010110
In base 16, what is 2 - d4c?
-d4a
In base 7, what is 1165 - 3?
1162
In base 9, what is -1 - -277?
276
In base 5, what is -212 - -444?
232
In base 3, what is 2 + 1120220?
1120222
In base 10, what is 2 - -31?
33
In base 16, what is 0 + -21?
-21
In base 16, what is -2 - 1e?
-20
In base 16, what is 34 - 60?
-2c
In base 13, what is 627 + 2?
629
In base 16, what is -4 - 32?
-36
In base 16, what is 7a - -3?
7d
In base 9, what is -444 - 0?
-444
In base 14, what is -5 - -12b6?
12b1
In base 15, what is -2 + 2?
0
In base 3, what is 211 - 110210?
-102222
In base 8, what is 325 + 5?
332
In base 3, what is 1 + 1211?
1212
In base 6, what is -445 - 5?
-454
In base 3, what is -2001 + -1?
-2002
In base 12, what is -2a49 + 3?
-2a46
In base 3, what is 2112 - 12?
2100
In base 10, what is 24 - 89?
-65
In base 16, what is 8c4 + 5?
8c9
In base 9, what is -671 - 1?
-672
In base 14, what is -2 + 18d?
18b
In base 3, what is -111 - 12?
-200
In base 8, what is 135 - -3?
140
In base 15, what is 17b - -5?
181
In base 11, what is -1 - -23?
22
In base 11, what is 321 - 90?
241
In base 11, what is 119 - 4?
115
In base 13, what is 5 + 225?
22a
In base 12, what is -1 - -57?
56
In base 11, what is -a - -213?
204
In base 6, what is 132 - 20?
112
In base 15, what is -1bc - -3?
-1b9
In base 13, what is 14a26 - -5?
14a2b
In base 11, what is 3 - 4?
-1
In base 2, what is -1001010011 + -101010?
-1001111101
In base 2, what is -1010110 - 1010100?
-10101010
In base 11, what is -3 + 337?
334
In base 12, what is 5 + -174?
-16b
In base 15, what is -52e + -1?
-530
In base 3, what is 111110 + 111?
111221
In base 2, what is -100101 + -10100000?
-11000101
In base 15, what is 19e + d?
1ac
In base 5, what is -1341 - 2?
-1343
In base 10, what is -19 + 4?
-15
In base 11, what is 238 + -4?
234
In base 9, what is -3 - 248?
-252
In base 4, what is 3312 - 1?
3311
In base 14, what is -5 - 168?
-16d
In base 7, what is -2004 + -6?
-2013
In base 8, what is 2 - -335?
337
In base 12, what is -5 - -22b?
226
In base 9, what is -3 + -177?
-181
In base 16, what is d4 + -3?
d1
In base 13, what is 40ba - -3?
40c0
In base 9, what is 3 - -154?
157
In base 3, what is 10 - -22120?
22200
In base 14, what is 2 + -49?
-47
In base 14, what is -1d - a?
-29
In base 7, what is -12 + -6453?
-6465
In base 13, what is 2 + -3?
-1
In base 11, what is -17 + -1?
-18
In base 9, what is 0 + 248?
248
In base 14, what is 121 - 5?
11a
In base 6, what is 5 - -54?
103
In base 16, what is 1 + 9?
a
In base 5, what is 3322 - -3?
3330
In base 2, what is -11 + -10010110?
-10011001
In base 12, what is 13 - -2a?
41
In base 9, what is -6645 + 3?
-6642
In base 14, what is -a9 + 3?
-a6
In base 3, what is 0 + -200222?
-200222
In base 14, what is -5 + 30?
29
In base 9, what is 5 - -1338?
1344
In base 8, what is -2 - 21?
-23
In base 4, what is -13120 + -111?
-13231
In base 2, what is -1001 + 1?
-1000
In base 10, what is -347 + 15?
-332
In base 3, what is 102021 - -1?
102022
In base 10, what is 1017 - -5?
1022
In base 9, what is 523 + 0?
523
In base 8, what is 46 - -3?
51
In base 3, what is 201 - 120?
11
In base 15, what is 2 - -1a?
1c
In base 14, what is c4c + -2?
c4a
In base 14, what is -2 + -699?
-69b
In base 9, what is 786 + 2?
788
In base 4, what is -11 + -320?
-331
In base 14, what is -1 + -80?
-81
In base 15, what is -4 - c8?
-cc
In base 8, what is 7166 + -4?
7162
In base 14, what is 3 + -53?
-50
In base 3, what is -100022 + -1?
-100100
In base 14, what is -4 + 39?
35
In base 7, w
|
{
"pile_set_name": "DM Mathematics"
}
|
rentiate -460*l*m**2 + 1280*l*m - 52*m**2 - 18*m + 124 wrt l.
-460*m**2 + 1280*m
What is the first derivative of -197622816*j**4 + 143429491 wrt j?
-790491264*j**3
Differentiate 4*c**2*l + 341*c**2 - 866*c + 1218*l + 2700 wrt c.
8*c*l + 682*c - 866
Find the second derivative of 2989*j*w**2 - 41719*j*w - 129*w**2 + 44 wrt w.
5978*j - 258
What is the second derivative of -9*p**3*r**2 - 18139*p**2*r**2 + 9*p*r**2 - 45133*p*r wrt p?
-54*p*r**2 - 36278*r**2
Differentiate -12*j**2 - 65460*j - 7098045 wrt j.
-24*j - 65460
What is the third derivative of 93678122*t**3 - 123*t**2 - 9*t + 33263?
562068732
What is the second derivative of -18233*p**4 + 104*p**2 + 5430604*p wrt p?
-218796*p**2 + 208
Find the third derivative of 48465450*c*z**4 + 346*c*z**2 + 373*c*z + 6*z**4 + 65*z**2 wrt z.
1163170800*c*z + 144*z
What is the second derivative of -2*b*h**2 - 12936758*b*h + 506922*h**2 wrt h?
-4*b + 1013844
Find the second derivative of 31210308*d**2*q**3 + 700*d*q**2 - 45*d + 2*q**3 + 41*q wrt d.
62420616*q**3
Find the second derivative of 230358*u**3 - 537*u**2 + 280433191*u.
1382148*u - 1074
What is the second derivative of -6*q**2*z**3 + 110253*q**2*z + 4*q**2 - 47*q*z**3 - 16*q + 14*z**3 - z**2 - 4*z wrt q?
-12*z**3 + 220506*z + 8
Find the first derivative of 210733297*u**3 + 127053247 wrt u.
632199891*u**2
Find the first derivative of 3*o**2*y + o**2 - 363*o*y - 589*o - 208*y + 108806 wrt o.
6*o*y + 2*o - 363*y - 589
Find the second derivative of 8*b**3*k**2 + 344736*b**2 - 8467268*b*k**2 wrt b.
48*b*k**2 + 689472
Differentiate -283521*v**2*z**3 + v**2*z + v*z - 212016*z**3 - 5*z wrt v.
-567042*v*z**3 + 2*v*z + z
What is the second derivative of -84384*w**4 - 294*w**2 + 24848751*w wrt w?
-1012608*w**2 - 588
Find the second derivative of -101731*t**2 + 12*t + 259016 wrt t.
-203462
Find the second derivative of 5010*o**3*q**5 - 700*o**3*q + 1514*q**5 + 2*q + 5923 wrt q.
100200*o**3*q**3 + 30280*q**3
What is the second derivative of -104320456*o**4*u + 2*o**3*u**3 + 160248*o*u**3 - 7*o*u**2 wrt o?
-1251845472*o**2*u + 12*o*u**3
What is the second derivative of 428304*g**5*k + 4*g**4*k**2 - 5*g*k**2 + 36*g*k + g - 44*k**2 wrt g?
8566080*g**3*k + 48*g**2*k**2
Differentiate 21*p**4 + 14*p**2*r**2 + 694*p**2 + 6*r**2 + 405789*r - 1 wrt p.
84*p**3 + 28*p*r**2 + 1388*p
Find the second derivative of -142954180*z**5 - 69311252*z.
-2859083600*z**3
What is the derivative of 45701009*k**3*t - 268485*k**3 - 34 wrt t?
45701009*k**3
What is the second derivative of 10*j**4 + 1168635*j**2 - 56432488*j?
120*j**2 + 2337270
Differentiate -2*f**3*l + 2*f**3*p + 59*f**3 - f**2*l*p + 42*f**2*p + 5*f**2 - f + 4509975*l*p with respect to l.
-2*f**3 - f**2*p + 4509975*p
What is the second derivative of 11*z**4 - 2*z**3 + 94890*z**2 - 1188*z + 108578 wrt z?
132*z**2 - 12*z + 189780
Differentiate -6*n**3*r - n**3*u - 2*n**3 - 1449266*n**2*r*u + 5*n**2*u - 5*n*u - 4*u + 21828 with respect to r.
-6*n**3 - 1449266*n**2*u
What is the second derivative of 26*d**3 + 4813654*d**2 + 119109175*d?
156*d + 9627308
Find the second derivative of 3*j**3*v**2 - 616113*j**3*v - 2*j*v**2 - j*v + 670*j - 5*v**2 + 2*v wrt j.
18*j*v**2 - 3696678*j*v
What is the third derivative of 53*q**4*y - 2*q**4 - 398*q**3*y - 30*q**3 - 131*q**2*y + 2*q**2 + 5*q*y + 30*q - 106 wrt q?
1272*q*y - 48*q - 2388*y - 180
What is the third derivative of -138*j*n**3*t**3*y - 16921*j*n**3*y + j*n**2*t**3*y - 1609*j*n**2*t**3 - j*n**2*t + 11*j*n*t**3 - 5*n*t**3*y + n wrt n?
-828*j*t**3*y - 101526*j*y
Find the third derivative of -45337159*j**3*r**6 + 107*j**3*r**2 + 132*j**3*r + 53*j*r - r**2 + 3 wrt r.
-5440459080*j**3*r**3
What is the second derivative of -45*i**3 - 3916517*i**2*j - 9*i*j - 441*i - 1270*j + 4 wrt i?
-270*i - 7833034*j
What is the first derivative of -63682020*r - 34456145 wrt r?
-63682020
Find the first derivative of -t**4 - 2*t**3 + 2504713*t**2 + 56943398 wrt t.
-4*t**3 - 6*t**2 + 5009426*t
What is the second derivative of 6*c**4 + 159225*c**3 - 5656355*c wrt c?
72*c**2 + 955350*c
Find the third derivative of -15481457*n**3 + 4170285*n**2 + 2*n.
-92888742
What is the third derivative of 52530395*a**5 - a**3 - 1666*a**2 - 6*a - 57 wrt a?
3151823700*a**2 - 6
Find the first derivative of -8643727*h**4 + 3287288.
-34574908*h**3
What is the derivative of -80175562*d*t*y**3 + 97781*d*y**3 + 20*d - t**2 wrt t?
-80175562*d*y**3 - 2*t
Differentiate -4369*k*m - 88*k*y - 3583*m*y + 5*m + 228*y with respect to k.
-4369*m - 88*y
What is the first derivative of 98397251*j**2 - 81934428 wrt j?
196794502*j
Find the second derivative of -18806570*n**3*v + 78*n*v + n - 16*v - 48 wrt n.
-112839420*n*v
What is the first derivative of -s*t**3*z - 177360292*s*t + 2*s*z - 250778*s + 2*z + 56 wrt t?
-3*s*t**2*z - 177360292*s
What is the derivative of 2*p**2 + 58881436*p - 63155912?
4*p + 58881436
What is the second derivative of -9803340*x**5 + 12*x**4 - 241981796*x?
-196066800*x**3 + 144*x**2
Find the second derivative of 13429615*q**3 - 244*q + 1686.
80577690*q
Differentiate -1774770*v**4 - 5022903 wrt v.
-7099080*v**3
What is the second derivative of -26035661*w**3 - 28*w + 738296?
-156213966*w
Find the second derivative of 7523*c**3 + 1323*c**2 + 2*c - 1207655 wrt c.
45138*c + 2646
What is the first derivative of 32946*x**3 + 863*x**2 - 131807229 wrt x?
98838*x**2 + 1726*x
What is the second derivative of 10129855*a**2*g**3 - 4*a*g**3 - 43248*a*g**2 - a*g + 2*a wrt a?
20259710*g**3
What is the first derivative of -948*b*m**2*p + 2*b*m + 104834*m**2*p + 60375736*m**2 wrt p?
-948*b*m**2 + 104834*m**2
What is the derivative of -1352405*k**2 - 11202310?
-2704810*k
Find the second derivative of -1363743*p**3 + 4*p**2 + 4149*p - 1493 wrt p.
-8182458*p + 8
What is the first derivative of -158617557*h**3 + h**2 - 464734143 wrt h?
-475852671*h**2 + 2*h
What is the first derivative of -8427*g**2 + 390*g - 14386826?
-16854*g + 390
What is the second derivative of -167*l**3 - 146553*l**2 - 21104*l + 11085?
-1002*l - 293106
Find the third derivative of -2556188*b**3 + 448949*b**2 - 2*b + 4 wrt b.
-15337128
What is the second derivative of -139737*h**3 - 15*h**2 - 2686471*h?
-838422*h - 30
Find the second derivative of -121*n**4 - 12865*n**2 - 3*n - 35428245 wrt n.
-1452*n**2 - 25730
What is the second derivative of -10*u**5 + 2*u**3 - 5272*u**2 - 5858667*u wrt u?
-200*u**3 + 12*u - 10544
What is the second derivative of 35734*j**5 + 570*j**2 - 48496983*j?
714680*j**3 + 1140
Find the second derivative of -11434052*f**3 + 9659161*f wrt f.
-68604312*f
What is the third derivative of 70*d**4 - 52029*d**3 - 60*d**2 + 100091*d?
1680*d - 312174
Differentiate -4030920*b**3 - 2327080 with respect to b.
-12092760*b**2
What is the first derivative of 255285*d**3 - 6*d**2 - 6085204 wrt d?
765855*d**2 - 12*d
What is the second derivative of i*l**2*q**3 + 33157*i*l**2 + 21*i*l - i*q - 19*l*q**2 + 16935*q**3 wrt q?
6*i*l**2*q - 38*l + 101610*q
What is the third derivative of -23726*a**2*k**4 + 5*a**2*k**2 - 12*a**2*k - 401122*a*k**2 - 1365*k**6 wrt k?
-569424*a**2*k - 163800*k**3
Find the second derivative of -9695*x**3 - 14*x**2 - 6*x - 3357040 wrt x.
-58170*x - 28
What is the derivative of -12199097*a*n**3 - 94*n**3 + 31099*n**2 - 2 wrt a?
-12199097*n**3
Find the third derivative of 3*a**6 + 10637584*a**4 + a**3 - 2*a**2 - 6140*a - 722 wrt a.
360*a**3 + 255302016*a + 6
Find the third derivative of 1247*d**4*z**2 - 553*d**4 - 855149*d**2*z**2 - 9*z**2 wrt d.
29928*d*z**2 - 13272*d
What is the first derivative of 4992032*y**2 + 346274 wrt y?
9984064*y
Find the second derivative of 5703642*z**2 + 684*z + 1222.
11407284
Find the first derivative of 30367334*j - 159387667 wrt j.
30367334
Find the first derivative of 128*j**2 - 1043923*j + 559298298.
256*j - 1043923
Differentiate -87*l*o**2 + 1054190*l - 628*o**2 + 3*o - 2 wrt o.
-174*l*o - 1256*o + 3
What is the third derivative of -4*h*p*z**3 - 2*h*p*z**2 + 85463*h*p - 132397*h*z**3 + 2*h*z**2 + p*z**3 + 2*p*z**2 + 12*p + 11*z**3 + 2*z**2 wrt z?
-24*h*p - 794382*h + 6*p + 66
What is the second derivative of 36*g**3*t**2 + 1225*g**3*t + 58*g**3 - 4*g**2*t**2 + 4*g*t**2 + 658*t**2 - 2 wrt t?
72*g**3 - 8*g**2 + 8*g + 1316
What is the derivative of 7881*b*c**3 + b*c**2 - 811*b + 2*c**3 + 2*c**2 + 11
|
{
"pile_set_name": "DM Mathematics"
}
|
16911
In base 10, what is 18262984 + -11?
18262973
In base 16, what is -1d - -5746ec?
5746cf
In base 12, what is 1 - -10189636?
10189637
In base 10, what is 10043090 - 7?
10043083
In base 6, what is 3551203 - 4?
3551155
In base 11, what is 6a495453 - 2?
6a495451
In base 12, what is -11 + 3b9202a?
3b92019
In base 7, what is -120311 + 23?
-120255
In base 2, what is 1000110111101111000111101110 + 1?
1000110111101111000111101111
In base 6, what is -40 + -411555025?
-411555105
In base 13, what is -3b54 - -28b0?
-1274
In base 12, what is -35 - -4767a1?
476768
In base 2, what is -1010110011000101000 + -101101?
-1010110011001010101
In base 2, what is 101000111000010111 - 1101110?
101000110110101001
In base 7, what is 2623251 + 341?
2623622
In base 14, what is -c4d9 - 1c32?
-1032b
In base 6, what is 410 - 1301122?
-1300312
In base 16, what is -18ab75a - 7?
-18ab761
In base 16, what is -35c4982 + 2?
-35c4980
In base 3, what is -2100102 + -2102210000?
-2112010102
In base 16, what is 2 - 16247?
-16245
In base 8, what is 134336264 + 65?
134336351
In base 10, what is -1540842244 - 5?
-1540842249
In base 2, what is -11011111110 - -110010010010?
10110010100
In base 10, what is -352661 + 235?
-352426
In base 8, what is -575467421 + 4?
-575467415
In base 14, what is -114b4c3d - 3?
-114b4c42
In base 7, what is -25401 + 54533?
26132
In base 15, what is b84d - 7?
b846
In base 3, what is -1120221000 + -22010?
-1121020010
In base 2, what is -10000100000101010010 + -1001010?
-10000100000110011100
In base 3, what is 2 + 201002202221111100?
201002202221111102
In base 15, what is -b8 + 2a3acb?
2a3a13
In base 6, what is 353245 + -5312?
343533
In base 7, what is 16531 - -13646?
33510
In base 6, what is 155252201 - 3?
155252154
In base 9, what is -728728 - -4?
-728724
In base 8, what is -3303170156 - -1?
-3303170155
In base 12, what is -46835 - -1521?
-45314
In base 16, what is 1 + 12e547?
12e548
In base 12, what is 161 + -b2078?
-b1b17
In base 16, what is 75ec834 + -4?
75ec830
In base 12, what is -5 + -a55521?
-a55526
In base 14, what is ca - 131?
-45
In base 10, what is 33 - 1745948?
-1745915
In base 8, what is -4704 + 2565?
-2117
In base 16, what is 2 + 6b5d22?
6b5d24
In base 3, what is 12220111210221 + 121202?
12220112102200
In base 3, what is 1201 + -1200211122210?
-1200211121002
In base 9, what is 4423151 + -275?
4422765
In base 2, what is -111000100010000111111 + -1?
-111000100010001000000
In base 15, what is 10 - -2b3659b?
2b365ab
In base 6, what is -2535310 - 141?
-2535451
In base 5, what is 2331011301 + -1?
2331011300
In base 2, what is -100000101100010101001110 + -1?
-100000101100010101001111
In base 7, what is -2622262 + -35?
-2622330
In base 11, what is -28651 + 229?
-28423
In base 6, what is 22524500152 - -5?
22524500201
In base 4, what is -22 + 220230031303?
220230031221
In base 6, what is -1412033424 + 5?
-1412033415
In base 2, what is 11 + -1111110000100110011111?
-1111110000100110011100
In base 9, what is 0 + -10361820?
-10361820
In base 3, what is 20000001120202021 - -21?
20000001120202112
In base 13, what is 362a - -1671?
4c9b
In base 16, what is 2 + 7866f4?
7866f6
In base 16, what is 1280 + -12f?
1151
In base 7, what is -5 - 3143550631?
-3143550636
In base 9, what is 13 - 3423075?
-3423062
In base 2, what is -100010011101101011010000110 + -11?
-100010011101101011010001001
In base 6, what is -3121012120 + 1?
-3121012115
In base 8, what is 3 - -66710361?
66710364
In base 13, what is -503647 - ba?
-503734
In base 13, what is -42a4b - -1103?
-41948
In base 11, what is -11 - 14a0538?
-14a0549
In base 13, what is -3 + -16359749?
-1635974c
In base 14, what is 5 - 114b988?
-114b983
In base 11, what is 3 + 2319677a?
23196782
In base 14, what is -60dc1 + -1b3?
-61194
In base 16, what is 77 - -3877ec?
387863
In base 7, what is -5 - 10134442?
-10134450
In base 7, what is -21 - -2440061?
2440040
In base 2, what is -11110101010 - 101100100101?
-1001011001111
In base 14, what is -1251 + 3a43?
27d2
In base 6, what is 35434 + 12?
35450
In base 14, what is -56c719 - 125?
-56c840
In base 16, what is 29072 + 80?
290f2
In base 9, what is -346436 + -107?
-346544
In base 14, what is 3d9933 - 5?
3d992c
In base 2, what is 10010011011011111001 - 100?
10010011011011110101
In base 10, what is 11204 - 189?
11015
In base 4, what is -110123031 - -33031?
-110030000
In base 15, what is 20ee40 - -4?
20ee44
In base 7, what is -6601040603 - 2?
-6601040605
In base 16, what is -4a + 3de79?
3de2f
In base 5, what is 32 + 122013120?
122013202
In base 7, what is -30632 - -11?
-30621
In base 5, what is 10 - -11441040142?
11441040202
In base 15, what is 0 + 1621e4?
1621e4
In base 14, what is 2a791 - -dab?
2b75c
In base 12, what is -a2 - 82943?
-82a25
In base 14, what is 317 - 18c3?
-15aa
In base 9, what is 31151 + -270?
30771
In base 15, what is 13b - -1ad9?
1c25
In base 5, what is -111322424 + 101?
-111322323
In base 6, what is -10020445 - 100?
-10020545
In base 5, what is 332132022 - -211?
332132233
In base 6, what is -5234230010 + 3?
-5234230003
In base 2, what is 1010010000011111110 + -10001?
1010010000011101101
In base 3, what is 201122212022 - -12210?
201200002002
In base 16, what is 1861c5 - -28?
1861ed
In base 3, what is 10222 - 22211120002?
-22211102010
In base 11, what is -35774a + -433?
-358082
In base 11, what is 8a79a9 - a2?
8a7907
In base 6, what is 50151 - 34122?
12025
In base 5, what is -10 + 233113112?
233113102
In base 4, what is -21 - -110232013?
110231332
In base 5, what is 1113444040 + -13?
1113444022
In base 9, what is -53 + -3783208?
-3783262
In base 9, what is 43 + 6314622?
6314665
In base 4, what is 2112111 + 1032300?
3211011
In base 12, what is -2 - 69077aab?
-69077ab1
In base 4, what is 330320210210 + -11?
330320210133
In base 13, what is b57c + -2a41?
883b
In base 10, what is -2659 + 8584?
5925
In base 3, what is 2002011 + 2202111120?
2211120201
In base 4, what is 2 + 1312122321200?
1312122321202
In base 15, what is -1d9750d - 8?
-1d97516
In base 6, what is 40 - 10442104555?
-10442104515
In base 13, what is -47239 + 259?
-46cb0
In base 6, what is -3523 - 1055435?
-1103402
In base 11, what is -4512 - -90797?
87285
In base 2, what is -110000 - -11011000001101100?
11011000000111100
In base 9, what is -87062 + 128?
-86833
In base 12, what is -3058 - -292?
-2986
In base 6, what is -3121 + -10221?
-13342
In base 15, what is 0 + -30b870?
-30b870
In base 16, what is -16ae3c - 6?
-16ae42
In base 8, what is -6116 + 1642?
-4254
In base 12, what is 14 + 689b3?
68a07
In base 12, what is -71a4a - 89?
-71b17
In base 13, what is -8 - -329273?
329268
In base 12, what is -a + -644ba14?
-644ba22
In base 5, what is 201433042014 + -10?
201433042004
In base 12, what is 4 - -68108120?
68108124
In base 3, what is 22 + 1110200000212112?
1110200000212211
In base 14, what is 0 + 178db2?
178db2
In base 10, what is -1362768 + 53?
-1362715
In base 11, what is -161408 + 1a5?
-161213
In base 9, what is -2 - 62021377?
-62021380
In base 12, what is -19424 + -3b9?
-19821
In base 7, what is 4560365 + 114?
4560512
In base 5, what is -141110304 + 11?
-141110243
In base 3, what is 220122 - 1112202212?
-1111212020
In base 9, what is -112382 + -527?
-113020
In base 3, what is 10 - -202012201102011222?
202012201102012002
In base 16, what is -1ad7c6d + -4?
-1ad7c71
In base 3, what is 11122 + -20220101201010?
-20220101112111
In base 2, what is -11000 - -10111010001100?
10111001110100
In base 11, what is 389348 - -13?
389360
In base 3, what is -102112 + 100212212?
100110100
In base 7, what is 1232 + -10454363?
-10453131
In base 5, what is 23 + 2220311210?
2220311233
In base 14, what is -b + 24b7897?
24b788a
In base 8, what is -133 + 1553107?
1552754
In base 13, what is -512a8 - -c75?
-50333
In base 15, what is 9b47a3 + 5b?
9b480e
In base 12, what is -36b6 + 403?
-32b3
In base 3, what is 10022 + -11211212221?
-11211202122
In base 4, what is -10103203313000 + -1?
-10103203313001
In base 2, what is 1100 + -11011100100010101100?
-11011100100010100000
In base 7, what is 3434240 + 131?
3434401
In base 7, what is 3 - 123363011?
-123363005
In base 14, what is -7 + -c64762?
-c64769
In base 7, what is -1141 + -6606?
-11050
In base 9, what is 1 + 1125382?
1125383
In base 5, what is -1021210 + -1012122?
-2033332
In bas
|
{
"pile_set_name": "DM Mathematics"
}
|
4/35
Calculate prob of sequence ieeq when four letters picked without replacement from ieeiiiqqeeqiiq.
12/1001
What is prob of sequence kv when two letters picked without replacement from xkxhvvv?
1/14
What is prob of sequence rlri when four letters picked without replacement from lrrrllrlifrllllrrl?
7/1360
Calculate prob of sequence hlh when three letters picked without replacement from {l: 7, h: 4}.
14/165
Calculate prob of sequence up when two letters picked without replacement from {b: 2, e: 1, p: 2, c: 1, o: 1, u: 1}.
1/28
What is prob of sequence fjoo when four letters picked without replacement from bbfobjjojbbobjj?
1/1092
Calculate prob of sequence sl when two letters picked without replacement from {s: 2, l: 8, x: 2}.
4/33
Three letters picked without replacement from {n: 1, j: 5, q: 1, p: 1, d: 1, o: 3}. Give prob of sequence pjd.
1/264
Calculate prob of sequence skk when three letters picked without replacement from ssksssrskssskssrss.
13/816
Calculate prob of sequence jjep when four letters picked without replacement from jpjej.
1/20
What is prob of sequence sbkb when four letters picked without replacement from skspbnbbksb?
1/110
Two letters picked without replacement from {s: 1, o: 4, a: 1, w: 11}. What is prob of sequence oo?
3/68
What is prob of sequence qskq when four letters picked without replacement from {s: 5, q: 3, k: 3, b: 1}?
1/132
What is prob of sequence sul when three letters picked without replacement from ssmeuamasalesl?
1/273
Three letters picked without replacement from {j: 1, h: 4, g: 1, p: 1, q: 4, m: 3}. Give prob of sequence ghh.
1/182
Calculate prob of sequence thk when three letters picked without replacement from {f: 2, y: 4, k: 1, t: 4, h: 5}.
1/168
Calculate prob of sequence hr when two letters picked without replacement from {s: 1, h: 2, r: 3, j: 1, v: 3}.
1/15
What is prob of sequence ww when two letters picked without replacement from wrnrwwrnfv?
1/15
Three letters picked without replacement from tttthhtttttttttththt. Give prob of sequence tht.
8/57
Calculate prob of sequence zz when two letters picked without replacement from {z: 2, f: 4}.
1/15
Four letters picked without replacement from perqryereprrymqrpp. What is prob of sequence rmpe?
1/1020
Four letters picked without replacement from aullull. Give prob of sequence ulau.
1/105
Calculate prob of sequence gy when two letters picked without replacement from {g: 4, k: 3, b: 2, y: 1}.
2/45
What is prob of sequence mmmv when four letters picked without replacement from mvmvm?
1/10
Four letters picked without replacement from jthtfhztjjj. What is prob of sequence htzf?
1/1320
Two letters picked without replacement from {k: 2, b: 5, c: 1, j: 2, s: 1, g: 6}. Give prob of sequence gb.
15/136
Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyy.
1
Two letters picked without replacement from ygmmkfyygkkmyyq. What is prob of sequence mg?
1/35
What is prob of sequence ymyy when four letters picked without replacement from {m: 5, y: 4, h: 1, x: 8}?
1/612
Two letters picked without replacement from bgvsnsbf. What is prob of sequence sg?
1/28
Two letters picked without replacement from {e: 3, c: 1, u: 2, q: 1}. Give prob of sequence qu.
1/21
Calculate prob of sequence zz when two letters picked without replacement from {z: 10}.
1
Four letters picked without replacement from {g: 3, o: 1, i: 7, n: 2, c: 3, e: 3}. What is prob of sequence eecc?
1/2584
Two letters picked without replacement from {e: 2, l: 5, p: 8}. Give prob of sequence ll.
2/21
What is prob of sequence ecc when three letters picked without replacement from ecceeceecccccc?
15/91
Calculate prob of sequence xx when two letters picked without replacement from {o: 16, x: 4}.
3/95
Calculate prob of sequence npg when three letters picked without replacement from mngnnpgnmppnmnnpn.
4/255
What is prob of sequence susm when four letters picked without replacement from smsusumtmum?
1/110
Calculate prob of sequence cqcd when four letters picked without replacement from cdcdqddddcdddjcdj.
1/476
What is prob of sequence cet when three letters picked without replacement from iiiaareetiaceiceii?
1/612
Three letters picked without replacement from {g: 1, t: 2, d: 2, i: 1, j: 1, v: 1}. Give prob of sequence dgt.
1/84
What is prob of sequence asss when four letters picked without replacement from aahshaasaaahhhsshhah?
8/4845
What is prob of sequence tttf when four letters picked without replacement from tftttttrt?
5/72
Four letters picked without replacement from moemooommemm. Give prob of sequence ooeo.
2/495
What is prob of sequence mm when two letters picked without replacement from {m: 5, y: 5}?
2/9
What is prob of sequence gy when two letters picked without replacement from {y: 5, g: 1, b: 5, r: 4, k: 1}?
1/48
What is prob of sequence wj when two letters picked without replacement from wwjwjw?
4/15
What is prob of sequence pipp when four letters picked without replacement from pipiipiiipiiiipiii?
13/1224
What is prob of sequence yo when two letters picked without replacement from moyny?
1/10
Calculate prob of sequence xq when two letters picked without replacement from {p: 2, r: 1, v: 2, x: 2, q: 1}.
1/28
Calculate prob of sequence jb when two letters picked without replacement from {l: 11, j: 2, w: 1, b: 2}.
1/60
Two letters picked without replacement from {n: 7, r: 10, j: 1}. What is prob of sequence nj?
7/306
Three letters picked without replacement from kkkkdkkk. Give prob of sequence dkk.
1/8
What is prob of sequence un when two letters picked without replacement from hhxxhhhhhxxuhxunhhh?
1/171
What is prob of sequence ffcf when four letters picked without replacement from {c: 9, f: 7}?
9/208
Two letters picked without replacement from mzmzzznozqjm. What is prob of sequence jz?
5/132
Four letters picked without replacement from vrzrz. What is prob of sequence rzvz?
1/30
Three letters picked without replacement from {i: 4, w: 3}. What is prob of sequence wwi?
4/35
Calculate prob of sequence uc when two letters picked without replacement from uubhcunubhuuuun.
4/105
Four letters picked without replacement from {h: 5, m: 1, k: 1, x: 3, c: 2}. Give prob of sequence hkmc.
1/1188
Calculate prob of sequence ttt when three letters picked without replacement from tttttattattt.
6/11
Three letters picked without replacement from {m: 1, q: 5, v: 14}. What is prob of sequence qqm?
1/342
What is prob of sequence zc when two letters picked without replacement from {c: 9, z: 3}?
9/44
What is prob of sequence qq when two letters picked without replacement from {i: 11, q: 2}?
1/78
Three letters picked without replacement from {r: 2, q: 4, b: 1, a: 4}. Give prob of sequence bra.
4/495
Calculate prob of sequence tqqq when four letters picked without replacement from {t: 5, u: 2, q: 3}.
1/168
What is prob of sequence weg when three letters picked without replacement from {s: 1, l: 5, e: 2, g: 2, q: 2, w: 5}?
1/204
Calculate prob of sequence xxxa when four letters picked without replacement from axxaxax.
3/35
Four letters picked without replacement from nnnmmmn. What is prob of sequence mnmn?
3/35
Calculate prob of sequence ppjr when four letters picked without replacement from pprjjjxjjp.
1/168
Two letters picked without replacement from nllsnnsss. Give prob of sequence ls.
1/9
Four letters picked without replacement from {r: 2, b: 10}. Give prob of sequence rbbb.
4/33
Four letters picked without replacement from elqblkqbqql. Give prob of sequence ebqq.
1/330
What is prob of sequence hvb when three letters picked without replacement from oeoeoohoeovhoboeoov?
2/2907
What is prob of sequence uzpz when four letters picked without replacement from {p: 1, z: 4, u: 3, t: 2, e: 2}?
1/330
Calculate prob of sequence dw when two letters picked without replacement from zgwzygzdzjwyzwgyzw.
2/153
Calculate prob of sequence yhy when three letters picked without replacement from zyyh.
1/12
Calculate prob of sequence too when three letters picked without replacement from ootoootoooooo.
5/39
Calculate prob of sequence kka when three letters picked without replacement from koooank.
1/105
Four letters picked without replacement from gaggauagggggugg. What is prob of sequence agua?
1/273
Calculate prob of se
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*j, 589 = 3*h - 4*j. What is the hundreds digit of h?
1
Suppose 2*t - 13 = 3*q, 4*q + 2*t = q - 29. Let s = q + 31. What is the tens digit of s - (-2 + 2)/(-4)?
2
Let t(v) = -11*v + 23. What is the tens digit of t(-9)?
2
Let l be (4/6)/(2/(-18)). Let s = l - -11. Suppose 1 - s = -j. What is the units digit of j?
4
Let b = -206 + 328. What is the hundreds digit of b?
1
Suppose -26*u = -25*u - 1406. What is the tens digit of u?
0
Let f = 10732 + -7502. What is the hundreds digit of f?
2
Suppose -16*p = -13*p - 30. Suppose 0*j - 640 = -p*j. What is the units digit of j?
4
Suppose 3*m = 4*m. Suppose m = 2*u - 13 - 13. What is the tens digit of u?
1
Let q(f) = 9*f - 6. Suppose 4*r + r = 40. Let h be q(r). Suppose 5*p - 7*p + h = 0. What is the tens digit of p?
3
Suppose -23*o - 1633 + 10005 = 0. What is the units digit of o?
4
Let f(h) = h**3 - 4*h**2 - 3*h - 4. Suppose 5*n - 4*n = -19. Let v = -13 - n. What is the tens digit of f(v)?
5
Suppose 2*v - 344 = 3*q, -q + 617 = 5*v - 260. What is the hundreds digit of v?
1
Suppose 6*g = -30 - 18. Let l(f) = -15*f + 3. What is the tens digit of l(g)?
2
Let b(y) = -399*y - 3. What is the units digit of b(-5)?
2
Let b = 2 - -6. Let w be 454/b + 6/24. Let l = w - 32. What is the units digit of l?
5
What is the thousands digit of (57 + -54)*(-3362)/(-6)?
1
What is the hundreds digit of (9 - 8) + -4 - 5*-65?
3
Let u = -18 - -12. Let l(q) = 2*q**2 + 8*q - 1. Let r be l(u). Suppose 0 = -2*f + 15 + r. What is the units digit of f?
9
Suppose 3*d = 6*f - 4*f - 400, -990 = -5*f + 5*d. Suppose f + 230 = 2*s. What is the hundreds digit of s?
2
Let x(p) = 3*p - 1. Let n(j) = -16*j + 4. Let k(r) = -2*n(r) - 11*x(r). Let w(c) = -2*c + 7. Let i(g) = -7*k(g) + 3*w(g). What is the units digit of i(8)?
8
Suppose 23 = -f + 474. What is the tens digit of f?
5
Suppose -2*k + 19 = -3*o, -2*o + 3*o - 34 = -3*k. Let q(g) = -g**2 + 18*g + 27. Let z(c) = c + 1. Let b(u) = q(u) - 6*z(u). What is the tens digit of b(k)?
3
Let h = 693 + -77. What is the units digit of h?
6
Let s(p) = -p**3 - 5*p**2 - p + 2. Let f be 104/(-8) - -3*1. Let j(b) = -b**3 - 11*b**2 - 9*b + 5. Let n be j(f). What is the units digit of s(n)?
7
Let x = -9337 + 14875. What is the hundreds digit of x?
5
Let f(d) = 2*d**3 - 12*d**2 - 5*d - 6. What is the tens digit of f(7)?
5
Suppose -6*p - 3028 + 640 = 0. What is the hundreds digit of (-6)/(-12) + p/(-4) + 2?
1
Suppose 0 = 5*i - 5*u - 335, -i - 67 = -2*i - 4*u. Let m = i + -25. What is the tens digit of m?
4
Let r(i) = i**2 + 11*i - 9. Let w be r(-11). Let g = 14 + w. Let x = g + 2. What is the units digit of x?
7
Let a(c) = c**2 + 3*c - 1. Let y be a(-4). Let t be (2 - 3)*(-8 + y). What is the units digit of 25 + (t - (-4 - -5))?
9
Suppose -3*h = 26 - 68. Let j = 22 + -18. Suppose -4*b - 16 = -2*z, 2*z = -z - j*b + h. What is the units digit of z?
6
Let v(p) = 5*p - 20. Let d be v(5). Suppose -d*z + 717 - 67 = 0. What is the tens digit of z?
3
Let l(c) = -c - 15. Let u be l(-13). What is the tens digit of 4/u - 75*-1?
7
Let p = -2041 + 2860. What is the hundreds digit of p?
8
Let t(j) be the first derivative of 4*j**2 + 31*j + 26. What is the tens digit of t(6)?
7
Suppose -3*y - 36 = 9*y. Let i(h) = -20*h + 2. Let f be i(-2). What is the tens digit of y/(-18) + 1841/f?
4
Let f = 240 - 78. What is the units digit of (1 - 10/6)/((-3)/f)?
6
Let v(s) = 3*s**2 - 4*s + 9. Suppose 0 = -5*z - 16 - 9. What is the hundreds digit of v(z)?
1
Let l(k) = 95*k + 6. Let i be l(-1). Let s = -71 - i. What is the tens digit of s?
1
Let r(p) be the second derivative of -p**4/12 - 4*p**3/3 - 11*p**2/2 + 2*p - 8. Let t(f) = -f**2 - 3*f - 1. Let x be t(-4). What is the units digit of r(x)?
4
Let r(x) = -x**2 + 1. Let d(b) = b**2 + 9*b - 15. Let z(c) = -d(c) - 2*r(c). What is the units digit of z(12)?
9
Let f = 6008 - 4080. What is the units digit of f?
8
Let b(v) = v**3 + 0*v**2 + 0*v + 3*v - 4*v**2 + 3 + 3*v**2. What is the tens digit of b(4)?
6
Suppose -2*d - 2 = -p, 2*d - 3*p + 8 = -2*d. What is the units digit of (d - 71)/(16 - 17)?
0
Let l(t) = 190*t - 59. What is the units digit of l(6)?
1
Let f(a) = -a**3 - a**2 + a + 3. Let i be f(0). Suppose -4*h + r - 19 = -h, -h = 3*r + i. Let s(k) = -k**3 - 4*k**2 + 9*k + 4. What is the units digit of s(h)?
2
Let y(u) = 187*u**3 - 5*u**2 + 11*u - 7. What is the units digit of y(2)?
1
Let z(g) = g + 3. Let h be z(0). Suppose 667 = 4*v + h*s, -4*v - s + 167 = -3*v. What is the units digit of v?
6
Let q be 25/(-10)*(-64)/10. Let x(r) = r**2 - 16*r. Let h be x(q). Suppose h = g - 19 + 1. What is the tens digit of g?
1
Let i = 841 + -491. What is the hundreds digit of i?
3
Let q be 522 - ((1 - -1) + -5). Suppose 5*t + q = 1350. What is the hundreds digit of t?
1
Let j = -14 + 48. Suppose 16 = -2*y + y - 5*a, -y = -5*a - j. Let l = y + 0. What is the units digit of l?
9
Let h be -3*(-12)/45*10. Suppose -h = -3*t + 4. Suppose -4*r - t = 0, 18 = -n + 3*r + 56. What is the tens digit of n?
3
Suppose s = -1 - 10. What is the hundreds digit of (3 - s)*6*12/9?
1
Suppose 0 = j - 35 - 62. Let b = 76 + j. What is the hundreds digit of b?
1
Let k = 5 + 13. Let o be 92/k + 3/(-27). Let s(t) = 12*t - 12. What is the tens digit of s(o)?
4
Let w(f) = -10*f**2 - 20*f - 5. Let j(u) = -2*u**2 - 4*u - 1. Let l(z) = -11*j(z) + 2*w(z). Let m = -118 - -114. What is the units digit of l(m)?
7
Let o = 15153 + -10594. What is the hundreds digit of o?
5
Let m be (-4575)/(-30)*16/(-5). Let u = -345 - m. What is the hundreds digit of u?
1
Let o = 1233 - 504. What is the hundreds digit of o?
7
Let r(z) = -z**3 + z - 1. Let l(g) = 3*g**3 + 10*g**2 + 12*g + 16. Let d(f) = -l(f) - 2*r(f). Let n = -21 + 12. What is the units digit of d(n)?
1
Let l be (-6)/2 - (-56 + 0). Let o be (l/6)/((-6)/(-36)). Let c = o + -12. What is the tens digit of c?
4
Let v be (-2)/(-17) - 700/(-119). Suppose -320 = 3*a - v*a + r, 5*a - 3*r - 536 = 0. What is the tens digit of a?
0
Let v(u) be the first derivative of u**4/4 + 5*u**3 + u**2/2 + 21*u + 1. What is the units digit of v(-15)?
6
Let w be (-2)/1 + 5 - 0. Let y = -11 + 18. Suppose y = w*a - 4*g, -16 = -5*a - 2*g + 13. What is the units digit of a?
5
Suppose m = -5*v - 100 + 721, m - 3*v - 629 = 0. Suppose m = 5*j - h + 10, -4*j + 5*h + 497 = 0. What is the tens digit of j?
2
Let f = -132 - -281. What is the hundreds digit of f?
1
Let f(v) be the second derivative of 3*v**4 - v**3/3 + v**2/2 + 16*v. What is the units digit of f(-1)?
9
What is the tens digit of ((-20)/8 + 2)*233*-50?
2
Let j = 12 + -7. Suppose f - v = -3*v - 1, -3*v + j = -5*f. What is the units digit of (2/f)/(14/(-49))?
7
Let y = -71 + 37. Let l be (2 - -58)*(-6)/(-5). Let r = l + y. What is the tens digit of r?
3
What is the tens digit of 3*20/(-15) - -250?
4
Suppose j + 15 = -4*a, -3*j - a + 30 = -4*a. Suppose 2*y - 11 = -d, 5*y - j*d + 0*d = -10. Suppose -y = w - 6. What is the units digit of w?
3
Let c(d) = d**3 + 20*d**2 + 46*d + 19. What is the units digit of c(-17)?
4
Let b(i) = -13*i**3 + i**2 + 3*i - 2. What is the hundreds digit of b(-3)?
3
Suppose -3*z + 26 = 2*d + 1, 3*z + 3*d - 27 = 0. Suppose -12*a = -z*a - 260. What is the tens digit of a?
5
Let a(y) = 2*y**2 + 2*y - y**3 - 2*y**2 + 4*y + 1 + 2*y**2. What is the units digit of a(-4)?
3
Let q = 76 + -45. Let h = 18 - 10. Let d = q + h. What is the tens digit of d?
3
Suppose -52*u + 6963 = -19*u. What is the hundreds digit of u?
2
Let m = 601 - 50. What is the units digit of m?
1
Let k(p) = -p**2 - 16*p + 3. Suppose -8*d = -7*d - 5. Suppose d*j + b = -69, 3*b - 46 + 6 = 4*j. What is the tens digit of k(j)?
4
Suppose 0*z + 192 = 3*z. Let y = -124 + z. Let k = -43 - y. What is the tens digit of k?
1
Suppose 3068 = 12*k - 1636. What is the hundreds digit of k?
3
Let b(g) = -2*g + 14. Let x be b(6). Suppose 10 = -0*v + x*v. Suppose -78 = v*y - 298. What is the tens digit of y?
4
Let o(h) = -h + 12. Let f be o(4). Suppose -6*n + f = -46. What is the units digit of n?
9
What is the hundreds digit of ((-1554)/(-15) - 3) + 6/15?
1
Suppose 14082 = 8*o - 6838. What is the units digit of o?
5
Let n(l) = -4*l + 14. Let u be (-4)/(-14) - (-329)/49. Let h be n(u). Let i(j) = -4*j - 6. What is the tens digit of i(h)?
5
Let x = -57 - -50. Let r = 15 + x. What is the u
|
{
"pile_set_name": "DM Mathematics"
}
|
9*w - 8 + 7*w wrt w.
16
What is the second derivative of 308*k**4 - 1110*k**4 - 4 - 203*k + 4 - 91*k wrt k?
-9624*k**2
What is the second derivative of 2*q**3 + 5 - 60299*q**2 - 2 + 58300*q**2 + 6 - 97*q wrt q?
12*q - 3998
Let j(w) be the first derivative of -1662*w**3 - 89*w**2/2 - w + 10648. Find the second derivative of j(l) wrt l.
-9972
Let v = -10052 + 10054. Let z(a) be the second derivative of 2*a**v + 8/3*a**3 - 19*a + 0. What is the first derivative of z(y) wrt y?
16
Let l(r) = 2285*r**2 - 6*r - 2012. Let m(c) = -6855*c**2 + 17*c + 6038. Let u(a) = 17*l(a) + 6*m(a). Find the first derivative of u(i) wrt i.
-4570*i
Let q(i) = 3*i**2 + 2*i + 1. Let f be q(-1). Suppose j + 11 = 2*j. Differentiate a - 20 + 37 - a - j*a**f wrt a.
-22*a
What is the first derivative of 1614 + 6429*w - 1682 - 811 + 3618 + 3269 wrt w?
6429
Let x be 88078/94 + 0 + (1 - 1). What is the third derivative of 1588*p**3 - 8 - 889*p**3 - x*p**3 + 7*p**2 wrt p?
-1428
Let n(h) = -1150*h**3 - 1187*h**2 + 6*h - 3. Let v(b) = 4599*b**3 + 4749*b**2 - 26*b + 13. Let k(d) = 26*n(d) + 6*v(d). Find the third derivative of k(f) wrt f.
-13836
Let r(m) = m**2 + 13*m - 6. Let h be r(-12). Let x(l) = l**2 + 19*l + 21. Let q be x(h). Find the second derivative of 7*d**3 - 23*d**q - 6*d + 13*d**3 wrt d.
-18*d
What is the third derivative of 169*m**2 + 15*m**6 - 4*m**5 - 148*m**2 - m + 264*m**2 + 4*m**5 + 37*m**4 wrt m?
1800*m**3 + 888*m
Let b(z) = 6*z**2 + 7*z + 1. Let t be b(3). Find the first derivative of 12*v**4 + 11*v**4 + 9*v**4 + 0 + t wrt v.
128*v**3
Let g be 122 + -1 + (-7 - -8). Find the second derivative of -g*p + 2*p**2 + 32*p**3 + 12*p - 7*p**2 - 53*p**3 + 31*p**3 wrt p.
60*p - 10
Suppose -30 = -m - 26. What is the third derivative of -37*y**4 + 7 - 13*y**2 - 11 + 3 - 78*y**m - 2*y**2 wrt y?
-2760*y
Find the first derivative of 510*d**4 + 220*d - 391*d**4 - 215*d + 1290 wrt d.
476*d**3 + 5
Let v(r) be the second derivative of 230*r + 0 - 5*r**2 + 155/12*r**4 + 5/3*r**3. What is the second derivative of v(d) wrt d?
310
Let o(h) = -h + 11. Let s be o(3). Let t(j) = -j**3 + 9*j**2 - 7*j - 6. Let w be t(s). Find the third derivative of 103*v - 28*v**3 - 103*v + 12*v**w wrt v.
-168
Let b = 164 - 150. Suppose 0 = 2*y - 6*y - 4*m + 96, -75 = -5*y + 4*m. What is the second derivative of -y*j - j**5 - b*j + 13*j**5 - 11*j wrt j?
240*j**3
Suppose 0 = 3*b - 0*c + 3*c - 15, -14 = -3*b - 4*c. Find the third derivative of 87*q**b - 2 - 934*q**2 + 2 + 830*q**2 wrt q.
10440*q**3
Differentiate -1075*y**2 + 20 - 2 - 1 + 0 + 0*y**2 with respect to y.
-2150*y
Let w = -93 + 97. What is the third derivative of 19524*y**4 + 171*y**5 - 3*y**2 - 19524*y**w - 5*y wrt y?
10260*y**2
Let c(w) be the third derivative of 303*w**7/14 - 2633*w**5/30 - 969*w**2. What is the third derivative of c(g) wrt g?
109080*g
Let g(f) = 432*f**5 + 7*f**4 + 6*f**3 + 746*f**2. Let w(s) = -2*s**5 - s**4 - s**3. Let v(y) = g(y) + 6*w(y). What is the third derivative of v(b) wrt b?
25200*b**2 + 24*b
Let a(h) be the first derivative of 3 - 21/2*h**2 + 0*h - 3*h**3 - 1/4*h**4. Let c(i) be the second derivative of a(i). Differentiate c(v) with respect to v.
-6
Let x(k) = -k + 3. Let d be x(-2). Suppose 20 = 4*h - d*c, -7*h + 52 = -3*h + 3*c. Differentiate -15 - 12 + 18*m + 32 - h wrt m.
18
Let n = 181 + -179. What is the third derivative of 2*v**4 + 8*v**n + 57 - 13*v**2 - 54 wrt v?
48*v
Let z(l) = -l**4 + l**3 - l**2. Let k(p) = 200*p**4 + 2*p**3 - 2*p**2 - 314. Let u(m) = k(m) - 2*z(m). What is the first derivative of u(i) wrt i?
808*i**3
Suppose 17 + 415 = 18*o. Find the second derivative of -143*n**2 + 22*n + 27*n + 48*n + o*n + 2*n wrt n.
-286
Find the third derivative of -1957*j**2 - 7*j**6 + 4652*j + 520*j**2 + 99*j**4 - 2328*j - 2322*j - j**6 wrt j.
-960*j**3 + 2376*j
Suppose 3*d = -3*r + 2 + 22, 4*r = -d + 23. What is the third derivative of -a**3 - 149*a**2 + 6 + 4*a**r + 138*a**2 - 11*a**5 wrt a?
-420*a**2 - 6
Let x(z) = -z + 47. Let j be x(-8). What is the third derivative of 14*b**6 - 32*b**6 - j*b**2 + 17*b**4 + 17*b**6 wrt b?
-120*b**3 + 408*b
Let q be (-4 - 0/(8 + -3))*-398. What is the derivative of 3 - 18 + q*d**2 - 1484*d**2 wrt d?
216*d
Let m(o) be the third derivative of o**7/210 - 23*o**6/12 + 23*o**5/20 + o**4/12 + 486*o**2. What is the third derivative of m(l) wrt l?
24*l - 1380
Find the third derivative of 85*p**5 - 14*p**5 + 29*p**3 - 71*p**3 - 41 + 15*p**2 + 43*p**3 wrt p.
4260*p**2 + 6
Let j(c) = -c**3 - 9*c**2 - 9*c - 4. Suppose 0 = 12*o - 32 + 128. Let t be j(o). What is the third derivative of 9*n**2 + 14*n**4 - n**2 - 3*n**t wrt n?
264*n
Let v(f) = -390*f**3 - 3*f**2 + 183*f + 4. Let d(z) = 391*z**3 + 2*z**2 - 177*z - 3. Let l(r) = -6*d(r) - 4*v(r). Find the second derivative of l(s) wrt s.
-4716*s
Let z(t) be the third derivative of -2*t**7/21 + 19*t**5/20 - 17*t**4/8 + 5*t**3/3 - 1575*t**2. Find the second derivative of z(h) wrt h.
-240*h**2 + 114
Let k(p) = 21*p + 28. Suppose 111 = 4*w + 31. Let u(o) = -63*o - 23 - 21 - w - 19. Let j(t) = 17*k(t) + 6*u(t). Differentiate j(x) wrt x.
-21
Let h(k) be the second derivative of -389*k**6/10 + k**3/6 + 457*k**2 - 3308*k. Find the second derivative of h(o) wrt o.
-14004*o**2
What is the third derivative of 563*g**2 + 231*g**2 - 805*g**2 + g + 21*g**5 - 27*g**4 - 229 wrt g?
1260*g**2 - 648*g
Let s(f) be the second derivative of -f**7/3 + 9*f**5/20 - 29*f**3/6 - 1666*f. Find the second derivative of s(l) wrt l.
-280*l**3 + 54*l
Let h = 134 + -64. Let p = h - 24. What is the second derivative of -p*y + 40*y + 3 - 2*y**4 - 3 wrt y?
-24*y**2
What is the third derivative of -z**2 + 3769*z**6 - 31672255*z**5 - 908*z + 31672255*z**5 wrt z?
452280*z**3
Let g(k) be the first derivative of 19*k**4/6 - 19*k**3 - 5*k**2/2 - 4*k - 80. Let w(o) be the second derivative of g(o). What is the derivative of w(c) wrt c?
76
Let c(g) be the first derivative of 19*g**6/3 - 13*g**5/5 + g**2/2 + 798*g - 1604. What is the second derivative of c(m) wrt m?
760*m**3 - 156*m**2
Let q = -113 + 50. Let d = q - -68. Find the first derivative of -z + 2*z + 6*z**2 - d - z wrt z.
12*z
Let w(h) = -10*h**3 + 8*h**2 + 20*h - 2. Let d be w(-6). What is the third derivative of -230*x**5 + 184*x**2 + 1163*x**3 + 1163*x**3 - d*x**3 wrt x?
-13800*x**2
Let v(i) be the first derivative of -29 - 7/3*i**3 - 2*i**2 + 40*i. Differentiate v(q) with respect to q.
-14*q - 4
Let p = -1181 + 709. Let h = p - -906. Differentiate 9*m**3 + h - 3*m**3 - 417 wrt m.
18*m**2
Differentiate 3557*t**2 - 19*t**2 + 139*t**2 + 1032 - 1321*t**2 + 2850*t**2 wrt t.
10412*t
What is the second derivative of 43238042 - 1000*b**3 + 2015*b - 43238042 wrt b?
-6000*b
Let m(i) be the first derivative of -17/12*i**4 + 2*i**2 + 21*i + 0*i**3 + 9. Let d(h) be the first derivative of m(h). Differentiate d(r) wrt r.
-34*r
Differentiate -947*q**3 + 32 - 71 - 211 + 14*q**3 - 19 wrt q.
-2799*q**2
Differentiate 2215 + 138*m + 55*m**2 - 91*m**2 - 91*m**2 - 32*m**2 - 133*m wrt m.
-318*m + 5
What is the first derivative of 6*w**3 - 1 - 1411 + 1429 - 104*w**4 + 1292 + 747 wrt w?
-416*w**3 + 18*w**2
Suppose 0 = t - 3, -4*f + 2*t + 241 = -1557. Find the third derivative of f*l**3 - 230*l**3 - 246*l**3 + 36*l**2 wrt l.
-150
Let p = 55 - 27. Let i be p/12 - 4/12. What is the second derivative of -4*l - 15*l**2 + 15*l**i + 32*l**3 wrt l?
192*l
Let q(z) = z**3 - z**2 - 8*z + 1. Let n(r) = -6*r**4 - 3*r**3 + 174*r**2 - 101*r - 3. Let v(l) = -n(l) - 3*q(l). Find the second derivative of v(t) wrt t.
72*t**2 - 342
Find the first derivative of 14*s + 149*s - 606*s - 350*s - 549 - 372*s wrt s.
-1165
Find the second derivative of -747*z**3 - 723*z**3 - 2286*z - 667*z**3 + 754*z**3 wrt z.
-8298*z
Let b be 8415/143 - 6/(-39). Suppose 5*y = 289 - b. What is the third derivative of -y*t - 10*t**2 + 46*t + 3*t**6 wrt t?
360*t**3
Let b(r) = -2934*r**3 - r**2 + 72. Let y(x) = -11733*x**3 - 5*x**2 + 287. Let j(d) = -13*b(d) + 3*y(d). Find the third derivative of j(i) wrt i.
17658
Let q(j) = -2*j**5 + j**2 - 2*j - 1. Let z(b) = -4*b**5 + 586*b**2 + 1143*b - 1. Let t(m) = q(m) - z(m). What is the second derivative of t(g) wrt g?
40*g**3 - 1170
Let r(l) be the first derivative of 0*l**2 + 0*l**5 + 104/7*l**7 - 106 + 101/3*l**3 + 0*l**4 + 0*l + 0*l**6. What
|
{
"pile_set_name": "DM Mathematics"
}
|
reasing order.
u, 1, c
Let s = -0.01 - -0.31. Let m = s - 0.4. Sort 1/4, 0, m.
m, 0, 1/4
Let v be -11 + 15 - 0/(-1 - -2). Let l = -1.3 - -0.3. Sort l, 0.06, v in ascending order.
l, 0.06, v
Let b be 26/8 - 2/8. Suppose 0 = -12*o + 8*o + 76. Let u = o + -14. Sort -5, b, u in descending order.
u, b, -5
Let l = -6 - -7. Let n be 5/((-4195)/2) - 0. Let j = n - -2531/5873. Put -1, j, l in ascending order.
-1, j, l
Let s(m) = m**2 - 5*m + 1. Let j be s(6). Let y = 6 - j. Sort -4, 2, y.
-4, y, 2
Suppose v = 6*v. Let k(p) = 2*p**2 - 5*p + 4. Let b be k(3). Sort v, b, 1 in increasing order.
v, 1, b
Suppose 7*k - 13*k + 12 = 0. Sort -16, k, -4.
-16, -4, k
Let j(x) = x**3 - 2*x**2 - 6*x - 12. Let u be j(4). Suppose -3*l - 12 = -3*s - 0*l, l - 20 = -5*s. Put u, s, 5 in increasing order.
u, s, 5
Let u be 2/4*0/(-1). Suppose -2*g = -4*a - 12, -a + u*a - 3 = 2*g. Let j = -0.1 + -0.3. Put j, 0, a in increasing order.
a, j, 0
Let o = 0.2 + 0.1. Let q = 3/193 + -9671/1351. Let u = q - -264/35. Sort u, o, -1.
-1, o, u
Let i = 40 - 39.82. Sort 0.1, i, 0.3.
0.1, i, 0.3
Suppose -2*q + 8 = -0. Let r = 15 - 6. Let l = r - q. Put 1, -5, l in descending order.
l, 1, -5
Suppose 6 = -6*k + 24. Sort -9, -3, k in descending order.
k, -3, -9
Let y(f) = -5*f**3 + f**2. Let l be y(1). Let p = 4 - 4. Put p, 5, l in decreasing order.
5, p, l
Let k be -6 + ((-248)/(-20) - 6). Let z = 0.3 - 0.26. Let f = z - -1.96. Sort k, f, -0.4.
-0.4, k, f
Suppose -5*g + 21 = l + l, 0 = -4*l + 12. Let f be (-2)/g - (-2)/3. Suppose 0 = -f*o - 3*o - 3. Put -3, o, -2 in decreasing order.
o, -2, -3
Suppose 13 = -5*q - 17. Let j(d) = d**3 + 6*d**2 - 2. Let b be j(q). Suppose 4 = -t - 3*t. Put 2, b, t in ascending order.
b, t, 2
Suppose 0 = z - 31 + 29. Sort -5, -4, -11, z in decreasing order.
z, -4, -5, -11
Let v = -39 - -36. Put 4, 5, v in decreasing order.
5, 4, v
Let m = 0.5 - 0.45. Put m, -4, -5 in increasing order.
-5, -4, m
Let j(l) = l**2 + 8*l + 8. Let v be j(-7). Let k be 679/1197 + (0 - v). Let p = 4/19 + k. Sort 1, -4, p in increasing order.
-4, p, 1
Let c(f) = -f**3 + 16*f**2 - 16*f + 18. Let x be c(15). Sort -1, x, 2.
-1, 2, x
Let y = -12.5 + 12. Let k = -0.4 + 2.4. Put y, k, 5 in decreasing order.
5, k, y
Suppose -5*t - 22 = -7. Let i(a) = 0*a**2 + 3 + a**2 + a + 4*a. Let o be i(-5). Put t, 5, o in increasing order.
t, o, 5
Let r = -527/4 + 131. Suppose 0 = -3*w + 4*a - 10 + 44, 0 = -a - 4. Sort -2/17, r, w.
r, -2/17, w
Let r be ((-4)/12)/(1/(-3)). Suppose 0 = -14*k + 18*k. Sort r, k, -3 in increasing order.
-3, k, r
Let p be ((-34)/8 - -3)/((-2)/16). Put 0, 3, p, -3 in descending order.
p, 3, 0, -3
Suppose 5*h = 2*z - 3, -7*z + h = -4*z - 11. Sort z, -1, -2 in descending order.
z, -1, -2
Suppose x + 2 = -2. Put 5, 2, x in increasing order.
x, 2, 5
Let m = 3 + -2.5. Let w = -5/9 + 7/45. Sort 5, m, w.
w, m, 5
Let b = -104/627 + 2/33. Suppose -5*x + 79 - 9 = 0. Let t be (-52)/x - 4/14. Sort b, t, -1 in descending order.
b, -1, t
Let p = -11 + 13. Suppose -7*s = 12 + 2. Put s, p, 4 in descending order.
4, p, s
Suppose 2*u - 4*s + 0 = 6, -s + 21 = 4*u. Sort -4, u, -1 in increasing order.
-4, -1, u
Let q = 1.9 - 2. Let v = 8/13 + -61/78. Sort -6, v, q in increasing order.
-6, v, q
Let u be (-3)/(-12) + (-73)/(-20). Let x = u - 17/5. Sort 1/3, 1, x in ascending order.
1/3, x, 1
Let z = 39 + -35. Suppose -2*o - 16 = 2*o. Sort -1, z, o in decreasing order.
z, -1, o
Let w = 35 + -35.1. Put w, 4, 1/2 in decreasing order.
4, 1/2, w
Let t = 13 + -11. Suppose 3*d + 8 = 2*f + t*d, -16 = -2*f + 3*d. Put 0, f, -5 in decreasing order.
f, 0, -5
Let k = 0.4 + -0.3. Sort k, 5, 0.2 in descending order.
5, 0.2, k
Let f = -18 + 161/9. Let y = -72 + 72.31. Let s = 0.09 + y. Put f, s, 4 in ascending order.
f, s, 4
Let z = -0.8 - 6.2. Sort z, -0.2, 1/6 in decreasing order.
1/6, -0.2, z
Suppose 0*d = 3*d. Sort d, -4, -3.
-4, -3, d
Let w be 6/15*(-1 + -4). Let h(a) = a + 8. Let b(q) = -2*q - 16. Let m(x) = -3*b(x) - 5*h(x). Let f be m(-8). Put f, -4, w in ascending order.
-4, w, f
Suppose -u = 2 - 3. Let p = 7 + -4. Suppose 0 = -5*n - 3*q + 4 - 1, p*n = q - 1. Sort n, u, -5.
-5, n, u
Suppose 4*x = 3*x - 4. Let w be (-3 - x)/(1 - 0). Let b be 2/(-4)*6*1. Put w, -2, b in descending order.
w, -2, b
Let a be 12/5 + 10/(-25). Put a, 0, 8 in descending order.
8, a, 0
Let l be (-4 + 1)*1 + 0. Let s = 3 + 1. Sort 6, s, l in ascending order.
l, s, 6
Let g = 9 + -8.1. Let n = g + -0.4. Suppose -3 - 2 = -z. Sort z, -0.3, n.
-0.3, n, z
Suppose v + 4 = -v. Let y be (-234)/(-45) - v/(-10). Let q be (2 + 2)/1 - 0. Sort y, -4, q.
-4, q, y
Let s = -64 + 64.6. Sort s, -5, 1, 4.
-5, s, 1, 4
Let o = 2 + -1.7. Let m = 0.1 + 0.4. Put m, o, -0.5 in decreasing order.
m, o, -0.5
Let a = -13 + 8. Put a, 0.3, 3 in ascending order.
a, 0.3, 3
Suppose -8 = 2*l + 2*l. Suppose 5*k + 0*k = 15. Let s be k/(-6*(-2)/(-16)). Put s, 3, l in descending order.
3, l, s
Let z = -15 + 19. Sort z, 0.3, 2/5 in decreasing order.
z, 2/5, 0.3
Suppose 3*s = 3*d - 2 - 1, 15 = -3*s. Put d, 3, 0.4 in increasing order.
d, 0.4, 3
Let n be 2/(-1)*(15/2 + -7). Put n, 2/9, -4, -0.14 in descending order.
2/9, -0.14, n, -4
Let g = -0.08 + 0.58. Put g, 0, 3 in increasing order.
0, g, 3
Let t = -1.5 - -1.57. Let a = -0.37 + t. Let q = 11 - 11.4. Put a, q, 2/7 in decreasing order.
2/7, a, q
Suppose -2*v = -y - 17, -3*v + 5*v - 19 = 3*y. Let o = 3 - v. Let r(s) = s. Let h be r(2). Put h, -1, o in ascending order.
o, -1, h
Let c be (-4)/4*-1 - -3. Let z be (-32)/(-180) - c/10. Put 1/6, z, 0.2 in ascending order.
z, 1/6, 0.2
Let u = 0.49 + -0.19. Suppose w = r + 3, 2*r - 20 + 2 = -2*w. Suppose 0 = -2*p + w, m + p + 0 + 2 = 0. Sort u, -2, m in increasing order.
m, -2, u
Let x(d) = -d**3 + 7*d**2 - 7*d + 3. Let g be x(6). Put -4, -2, g in ascending order.
-4, g, -2
Let n = 69 + -69.2. Sort -4/3, n, 4.
-4/3, n, 4
Let l = 0.32 + -0.02. Sort -2/9, l, 1/2 in decreasing order.
1/2, l, -2/9
Let h(u) = -9 - 10*u - u + u + u - u**2. Let a be h(-8). Let d(t) = -t + 2. Let w be d(-2). Sort a, w, 2.
a, 2, w
Suppose 0*b + 28 = -7*b. Let k = 15 + -13. Put b, k, 1 in ascending order.
b, 1, k
Suppose 5*f - 3*f - 24 = 0. Suppose 5*q + f = -2*j, -4 = -3*j + 3*q + 20. Suppose 0 = -3*c - 5*u + 10, -5*c + 7*u - 40 = 4*u. Sort 3/8, j, c.
c, 3/8, j
Let w = 33 - 33.2. Put 1, -8, w, 4 in descending order.
4, 1, w, -8
Let i = -0.2 - -0.4. Let u = 0.5 - i. Let a = u + -0.4. Sort -2/11, 1, a in descending order.
1, a, -2/11
Let l(d) = -d**3 - 7*d**2 - 4*d + 12. Let z be l(-6). Put z, -0.3, 4 in increasing order.
-0.3, z, 4
Let j = 219/7 + -31. Let b = 2 + -2. Let h = 27 - 26. Sort j, h, b in decreasing order.
h, j, b
Let m = 1.5 + -4.5. Sort m, 3/5, 1/2, -1/4 in increasing order.
m, -1/4, 1/2, 3/5
Let u be 5/(-4 + 0 + 3). Let r = 11 - 15. Sort -1/3, u, r in descending order.
-1/3, r, u
Let v = -0.3 + -0.7. Let c be (-4 - -4) + (-8)/(-44). Sort v, -0.2, c in decreasing order.
c, -0.2, v
Suppose 2*w - 4*w - 4 = 0. Let x be (12/(-18))/((-2)/9). Suppose -9 + 0 = -x*p, 2*h + p = 3. Sort h, w, 1.
w, h, 1
Let j(d) = 4*d**2. Let x be j(-1). Suppose -5*t - 1 - 15 = 2*f, -3*f = -5*t - 26. Sort t, x, 2 in decreasing order.
x, 2, t
Let b be 1/2*8*1. Let f = 0.065 + -1.065. Sort f, 0.4, b in decreasing order.
b, 0.4, f
Let a be (4 - 1) + (-2 - -3). Let h be ((-42)/126)/(2/(-6)). Sort h, a, -5.
-5, h, a
Suppose 2 = -j + l - 3*l, 5*l = -j - 11. Let x = j - -1. Sort x, -1, -2 in ascending order.
-2, -1, x
Let c = 1 + 4. Let w be 2/((1/(-6))/(-1)). Suppose -2*z = 2*z - w. Sort z, 2, c in ascending order.
2, z, c
Let f = -1.02 - 3.98. Let d(k) = k**3 + 5*k**2 + 5*k + 4. Let h be d(-4). Sort h, f, 4/3 in decreasing order.
4/3, h, f
Let k be 45/(-30)*((-16)/3 - 0). Let r be (1*(-1)/1)/1. Sort 3, r, k in ascending order.
r, 3, k
Let n = 0.436 - 0.136. Put 5, -5, n, 7 in ascending order.
-5, n, 5, 7
Let s = 6133/15 - 409. Sort 5, s, -3, 2.
-3, s, 2, 5
Let j(z) = z**3 + 7*z**2 + 7*z + 1. Let b be j(-6). Let f be 544/476*(-14)/4. Sort -3, f, b in descending order.
-3, f, b
Let a = -0.14 - -0.04. Let f = 1 - 6. Suppose b - 6*b = -5. Put f, b, a in ascending order.
f, a, b
Let u(n) = -n - 26. Let t be u(-12). Put t, 5, 2 in descending order.
5, 2, t
Let x = -13.39 - -13. Let i = -1.01 - -1. Let a = i + x. Put -5, -0.1, a in
|
{
"pile_set_name": "DM Mathematics"
}
|
et x be ((-63)/18 + 4)*126/(-4). Which is greater: -17 or x?
x
Let a be -7 + 13 - (0 - 4). Which is bigger: a or 8?
a
Suppose 3*g + 0 = -5*h + 6, 0 = 3*h. Suppose 3*z + 19 = -4*u, 5*z = u - g*u - 9. Let d be (-6 - -6) + z/2. Is d bigger than 4?
False
Let m = 78548/437 - 3259/19. Is m at least 8?
True
Suppose 5*b - 2*r = -66 + 8, 2*b + 5*r = -29. Is -7 greater than b?
True
Let g = 0.06 - 0.06. Let c = -192.15 - -192. Is g <= c?
False
Let u(k) = k**3 - 18*k**2 + 18*k - 31. Let w be u(17). Let f be (2*1)/(w/(-7)). Is f less than or equal to 2/97?
False
Let p be (48/972)/(8/(-12)). Let w(r) = -2 - 3 + 3*r - 2*r. Let x be w(5). Which is bigger: x or p?
x
Let s = 0.49 - -0.11. Let d = s + -2.1. Let v = 0.5 + d. Which is smaller: 4 or v?
v
Let h = -20.018 - -0.018. Let t = h + 9. Let g = t + 12. Is 0 at most as big as g?
True
Let w(i) = i**3 - 15*i**2 + 25*i + 10. Let l be w(13). Let b be -2 - -1 - 9 - -2. Let x be l/(-6)*b/(-12). Are 20 and x nonequal?
True
Let w be -2 - (-1)/(-9) - (3 - 4). Is w > 2?
False
Let v(x) = 7*x - 22. Let f be v(4). Suppose 3*u = -2*b + 13 + 8, b + 3*u - 15 = 0. Suppose 36 = -f*l - b. Which is smaller: 0.1 or l?
l
Let p be -4 - (5 + (-1990)/220). Which is smaller: 6 or p?
p
Suppose 7*a - 12*a = -5. Let b be (-9 - -6) + a + 2. Do -3/16 and b have the same value?
False
Suppose -q - 2 + 0 = 0, 3*p + 7 = -5*q. Which is greater: p or 12/43?
p
Let i(p) = p**3 - 9*p**2 + 9*p - 4. Let j be i(8). Suppose 0 + j = -4*g. Let k = -113/21 - -17/3. Is g equal to k?
False
Let z = -1.953 - -640.953. Which is greater: z or -0.1?
z
Let l(z) = -z**2 + 4*z. Let x be l(3). Suppose -34*i - 1 = -33*i. Let q be (-5 - i) + -3 + (-356)/(-36). Which is smaller: x or q?
q
Let j be -7*(1600/(-1484))/8. Does j = 0?
False
Suppose 50 = -124*q + 174. Are q and 2/2059 equal?
False
Let n(c) = -248*c + 126*c - 2*c**3 - 11*c**2 + 3*c**3 - 4 + 120*c. Let l be n(11). Is -26 at least l?
True
Suppose 7*x - 30 = 26. Suppose -x = -5*i + 17. Is 4 less than i?
True
Let l = 144 + -26. Which is smaller: -2/7 or l?
-2/7
Let k = -5 + 7. Let t be 3 - ((-27)/36 + (-30)/(-8)). Let i = k - t. Is i bigger than -1?
True
Let q be (-1)/(-6)*474/(-316). Which is smaller: q or -0.0907?
q
Let a = 814 + -2587/3. Let k = 47 + a. Suppose -3*h - 18 = 3*g, 0 = -4*h + g - 2 + 3. Are k and h unequal?
True
Let i be ((-5)/10)/(4/(-32)). Let w be i/2*(-4)/(-20). Is w > 1?
False
Suppose 0 = r - 0*r + 2*q, 2*q - 8 = -5*r. Suppose -k + 8 = 5*x, -3*k - 28*x + 5 = -32*x. Which is smaller: k or r?
r
Let n be (28/(-8) - 4)*(5 - 3). Let m be n/(-50)*2/3. Are m and -2/5 unequal?
True
Suppose -4*s - 111 - 2153 = 0. Let d = s - -1107/2. Let r = -12 - d. Which is smaller: 0 or r?
0
Let y = 0.7 - -1.5. Let s = 5.4 - y. Let b = -3 + s. Which is smaller: b or 0.1?
0.1
Let x = 7.91 + -8. Let z = 1.22 - 2.31. Let a = x - z. Which is bigger: 2 or a?
2
Let j = -1145 - -1101.93. Let d = j + 43. Is -1 bigger than d?
False
Let o = 0.079 + -33.079. Let d = 34 + o. Is d != -0.09?
True
Let r = 80.57 - -0.43. Let w = -82.8 + r. Is w greater than 1?
False
Let t be (-1 + (-638)/(-6))*(-78)/52. Is -160 greater than or equal to t?
False
Let h = -26.9 + 26.94. Which is greater: -3 or h?
h
Suppose 3*n + 27*f = 28*f + 71, 0 = 2*n - 4*f - 34. Is 26 greater than n?
True
Let v = -7 + 11. Let i = 277.7 - 266. Let m = i - 12. Is v greater than or equal to m?
True
Let j be (-1 + -34)*2/2. Let a be 10/j - (1 + -1). Is a >= 9/7?
False
Let h = -101 + 705/7. Let k = 7.5 + 82.5. Let b = k - 94. Are h and b nonequal?
True
Let y = 3 - 4. Let r = y + -2. Let p = -0.07 + -0.03. Is p less than r?
False
Let v = 3/5 - 31/85. Which is smaller: -0.1 or v?
-0.1
Let a be (1/21)/(240/(-392)). Let z = a - -3/10. Suppose 0 = -4*q - 4 - 0. Is z bigger than q?
True
Suppose 0 = -3*h - h - 4*p, -3*h = -p - 12. Let k be ((-3)/(-6))/(1/(-2)). Which is greater: h or k?
h
Let v be 291/(-2)*(-16)/(-12). Let t be 4/6 + v/(-15). Which is bigger: 15 or t?
15
Let f = 10678/15 - 712. Let q(n) = 2*n - 9. Let x be q(6). Suppose -x*d - 2*d + 5 = 0. Are d and f equal?
False
Let o = 21.5 + 72.5. Let u = -93 + o. Which is smaller: u or 21?
u
Let j be (-1 + 6/9)*6. Let p be (22/(-33))/(j/(-3)). Let t = 23/124 + 2/31. Is p greater than or equal to t?
False
Let k be (6/15)/(10/12 - 0). Suppose -2 = 2*o + 3*i, -5*o + 2 - 7 = -4*i. Is o < k?
True
Let z = 341 + -336. Which is smaller: z or 27?
z
Let d = -863/2040 + 22/51. Let v = 2/15 - d. Suppose -3 = 4*m + 2*i - 11, -4*m - 3*i = -12. Are v and m equal?
False
Let i be 2/(-4) - 2062/(-20). Let z = i - 103. Let m = 1528 - 1533. Is z != m?
True
Let q = -7.231 + 2.231. Which is smaller: 83 or q?
q
Let m be ((-6)/(-9))/(4/(-129)) + 4. Which is smaller: m or -19?
-19
Suppose -3*k + 2 = -v - 4*v, -v - k + 6 = 0. Suppose -v*s + 0 = -3*i - 4, i - 5*s = -10. Is -3/4 not equal to i?
True
Suppose -48*x + 42*x + 240 = 0. Let a be (-132)/x + 5/10. Which is greater: a or -2?
-2
Let k(g) = -3*g**3 - 179*g**2 + 174*g**2 + 2*g**3 + 2*g. Let q be k(-6). Which is bigger: 23 or q?
q
Let v(i) = i + 7. Let p be v(-3). Let w = 3 - p. Is w != 2/9?
True
Let h be 2/(-3) - (-7)/(84/92). Suppose -v = -6 - 10. Which is greater: v or h?
v
Let u = -31 - -31. Let b(g) = g**2 + g**3 - g**2 - g**2. Let h be b(u). Do h and 2/21 have different values?
True
Suppose -4*t - 19 = d, -7*t - 12 = -4*t. Let v(h) = -h + 5. Let k be v(10). Which is smaller: d or k?
k
Let b = 82.2 + -82. Which is smaller: -88 or b?
-88
Let l be 2*(-2088)/384*(-2)/3. Which is greater: 6 or l?
l
Suppose 7*h = 4*h - 12. Suppose 0 = -2*s - 3*i - 21, 18*s = 17*s + 4*i + 6. Is h smaller than s?
False
Let x = 7547/25 + -302. Suppose 0 = 45*u - 52*u + 7. Which is greater: u or x?
u
Suppose 64 = 5*i + 59. Is -2/185 less than i?
True
Let p be (-6)/(-8)*1/3. Let z = 245.11 + -243. Let a = 0.11 - z. Is a greater than p?
False
Suppose -134 = -19*a - 20. Is 37/5 greater than or equal to a?
True
Let z = 172 - 171.87. Let t = -8 - -8.03. Let o = t - z. Which is greater: 0 or o?
0
Suppose 51*g - 57*g - 234 = 0. Which is smaller: -37 or g?
g
Let z(t) = -2*t - 2. Let w be z(-2). Suppose -w*c = -4*c + 4. Suppose c*x = 3*x + 2. Which is smaller: -3/4 or x?
x
Let g = 10383/2282 - -7/326. Which is smaller: 5 or g?
g
Suppose p = 4*p + 5*t + 990, -2*p + 6*t - 688 = 0. Do p and -334 have the same value?
False
Let l = 119 + 267. Which is greater: l or 387?
387
Let w = -27457/1287 + 1/1287. Is -2/5 less than or equal to w?
False
Let s = 0 - -5. Let f = 0 + 19. Suppose -8*m + f = -21. Does m = s?
True
Let y = 543 + -405. Is y greater than or equal to 137?
True
Suppose -29*g = -12*g + 255. Which is smaller: -31/2 or g?
-31/2
Suppose 4*t - 5*l = 162, 5*t - 5*l - 97 = 108. Which is bigger: 47 or t?
47
Let q be 1*(-2 + (-2)/(-2)). Suppose -21*p + 336 = -17*p. Let k be -3 - (-1 + 4/p + -2). Which is bigger: k or q?
k
Suppose -3*v = -4*v + 91. Which is bigger: v or 92?
92
Suppose 0 = b - 5*h - 30, -b - 3*h + 46 = 0. Suppose 3*c - 5*r + b = c, 0 = 2*c - r + 40. Is c less than -21?
False
Let n be (-5)/(-2) + 72/(-48). Which is smaller: 6/95 or n?
6/95
Let i be (-1 - 1) + (38 - 12/(-2)). Let r = i + -29. Is r bigger than 11?
True
Let d = -0.2 - 0. Let u be 3 - (3/3*71)/3. Let b = u + 21. Which is bigger: d or b?
b
Suppose -t = -4*y + 16, 3*y + 0 = -4*t + 12. Which is bigger: 6/271 or t?
6/271
Let j = 276 + -275.938. Which is bigger: 0.1 or j?
0.1
Suppose -y + 8*h - 184 = 6*h, -4*h - 190 = y. Is y not equal to -184?
True
Let u(g) = 5 + 2*g - 2 - 2 + 1. Let f be u(6). Let p = f + -14. Which is smaller: p or 2?
p
Let d be (0 - 18/(-8))/(6/224). Let p = d - 60. Which is smaller: p or 45/2?
45/2
Let z = -152 + 8207/54. Suppose 5*j + 2 = 3*j. Is j >= z?
False
Let l = -1227143/322 + 3811. Which is greater: l or 0?
0
Let j = 3.738 - -0.262. Is -7/10 at least as big as j?
False
Let f = 15 - 26. Let b(l) = -l**3 - 40*l**2 - 113*l - 86. Let a be b(-37). Which is smaller: a or f?
a
Let l = 5.1 + -5. Let z = 13.9 + l. Let h = z + -12. Which is smaller: h or 1/9?
1/9
Let x = -789 - -791. Suppose 0*z = z + 4. Let v be (-26)/(-8) + 2/z. Is x at least as big as v?
False
Let h(x) = -6*x**3 + 3*x**2 + 3*x + 16. Let o(v) = 7*v**3 - 4*v**2 - 4*v - 15. Let m(u) = -6*h(u) - 5*o(u). Let y be m(0). Which is greater: y or -20?
-20
Suppose 3*o =
|
{
"pile_set_name": "DM Mathematics"
}
|
l). Find the second derivative of v(k) wrt k.
-2
Let y(b) be the second derivative of -11*b**5/20 - 5*b**3/6 - 5*b. What is the second derivative of y(z) wrt z?
-66*z
Let k(j) be the second derivative of -4*j + 0*j**4 + 1/14*j**7 + 0*j**6 + 0 + 5/6*j**3 + 0*j**2 + 0*j**5. Find the second derivative of k(x) wrt x.
60*x**3
Let x be 2 - 1/((-1)/2). What is the derivative of x - h**2 - 8*h + 8*h wrt h?
-2*h
Let h be 25/10 + 2/(-4). Find the first derivative of 0*b - 3*b + h + 2*b + 2*b wrt b.
1
Let h = 17 - 10. Let w(z) = z - 2. Let s be w(h). Differentiate 2*u**3 - s*u + 5*u - 2 wrt u.
6*u**2
Let a(f) = 16*f**5 + 8*f**4 + 6*f**3 + 13*f**2 + 5*f - 6. Let p(u) = -u**4 - u**3 - u + 1. Let q(y) = a(y) + 6*p(y). Find the third derivative of q(x) wrt x.
960*x**2 + 48*x
Let o(a) = -4*a - 1. Let f(t) = -20*t + 3 - 8*t + 39*t. Let n(q) = 6*f(q) + 17*o(q). What is the first derivative of n(v) wrt v?
-2
Suppose 2*b = 4*h - 13 - 3, 2*b = -4. What is the third derivative of -3*x**4 + h*x**4 - 6*x**4 - 6*x**2 wrt x?
-144*x
Find the second derivative of 126*o - 4*o**2 - 135*o - 3*o**3 + 2*o**3 wrt o.
-6*o - 8
Let b(c) = 2*c + 5. Let l be b(-5). Let p = -1 - l. What is the first derivative of 0*o**3 - p - 5*o - 4*o**3 + 5*o wrt o?
-12*o**2
Let o(t) = -21*t**4 - 4*t**3 - 37*t**2 - 4*t. Let p(j) = 21*j**4 + 5*j**3 + 38*j**2 + 5*j. Let s(g) = -5*o(g) - 4*p(g). Find the third derivative of s(m) wrt m.
504*m
Let l(v) be the second derivative of -13*v**7/42 + 3*v**3/2 + 10*v. What is the second derivative of l(w) wrt w?
-260*w**3
Let x(s) = -s**2 + 3*s + 2. Let h be x(2). Suppose -h*y = -6*y + 4. What is the third derivative of -y*q**2 - 2*q**6 + 3*q**2 + 3*q**2 - 2*q**2 wrt q?
-240*q**3
Suppose -3 = -4*m + m. What is the first derivative of -2*z**3 - m + 0*z + 0*z wrt z?
-6*z**2
Let d(o) be the second derivative of 11*o**3/6 + 33*o**2/2 - 42*o. Differentiate d(p) with respect to p.
11
Let b(o) be the third derivative of -5*o**9/504 - o**5/60 + 3*o**2. What is the third derivative of b(z) wrt z?
-600*z**3
Let m be 1/(-2)*2 - -1. Suppose 4*a - 1 - 7 = m. Differentiate 0*r**2 - r**2 + 1 + 0*r**a with respect to r.
-2*r
Suppose -5*v = 4*g + 19 + 10, g - 4 = v. Let w(s) = -s - 2. Let a(q) = 6*q + 9. Let r(c) = v*a(c) - 24*w(c). Differentiate r(o) wrt o.
-6
Let m = 19 + -16. Let g be (-22)/(-6) - 2/(-6). Find the first derivative of -p**4 - 2 + g + m*p**4 - 4 wrt p.
8*p**3
Let h(y) = -23*y**2 - 6*y - 15. Let w(a) = -a**2 - a - 1. Let m(q) = -h(q) + 6*w(q). What is the derivative of m(z) wrt z?
34*z
Let a(u) = -u**3 + u**2 + u - 1. Let r(c) = -10*c**3 - c**2 + 8*c - 8. Let k(v) = -24*a(v) + 3*r(v). What is the third derivative of k(n) wrt n?
-36
Let x(u) = 13*u**3 + u. Let o be 3*-3*(-2)/6. Let p(q) = -2*q**3 - 2*q**o + q**3. Let i(v) = -9*p(v) - 2*x(v). What is the second derivative of i(m) wrt m?
6*m
What is the third derivative of -17*n - 3*n**2 - 2*n**2 - 19*n**5 + 16*n wrt n?
-1140*n**2
Let y be (6 - 3) + (-1 - -1). Let b(k) be the second derivative of 0 + 3/20*k**5 + y*k + 1/2*k**2 + 0*k**3 + 0*k**4. Differentiate b(r) with respect to r.
9*r**2
Let x(n) be the second derivative of n**6/10 - 25*n**3/6 + 11*n. Find the second derivative of x(f) wrt f.
36*f**2
What is the third derivative of -7*j**3 + 4*j**3 + 7 + j**2 - 10*j**3 + 22 wrt j?
-78
Differentiate 6*f**2 - 7 - 119*f + 119*f with respect to f.
12*f
What is the second derivative of 12*r + 13*r - 12*r + 9*r + 7*r**2 wrt r?
14
Let y(m) = 46*m**5 + 3*m**4 - 27*m**2 + 3*m + 2. Let d(n) = n**5 + n**4 + n. Let w(k) = -3*d(k) + y(k). What is the third derivative of w(f) wrt f?
2580*f**2
Let t(s) be the first derivative of -19*s**6/3 - s**4/4 - 3*s**2 + 53. Find the second derivative of t(n) wrt n.
-760*n**3 - 6*n
Let q(l) be the second derivative of -l**8/3360 + l**7/315 + l**4/12 - 3*l. Let s(z) be the third derivative of q(z). Find the third derivative of s(j) wrt j.
-12
Let x(u) be the first derivative of u**4/6 + u**3/3 + 3*u**2/2 - 3. Let o(b) be the second derivative of x(b). Differentiate o(k) with respect to k.
4
Suppose -4 = 3*k - 10. Find the second derivative of 0*d**5 - k*d + 3*d**5 + 0*d**5 wrt d.
60*d**3
Let h(y) be the second derivative of -y**9/7560 - 7*y**6/720 - y**4/4 + 5*y. Let s(u) be the third derivative of h(u). Find the second derivative of s(c) wrt c.
-24*c**2
Let y(v) = 3*v**2 + 14*v + 6. Let z(q) = 7*q**2 + 28*q + 13. Let i(a) = -13*y(a) + 6*z(a). What is the second derivative of i(s) wrt s?
6
Let m(c) = -2*c - 2*c + 0 + 6 - c**2. Let b be m(-5). What is the first derivative of 2 - b + 2*g - g wrt g?
1
What is the third derivative of -1562*y + 1562*y + 33*y**2 + 13*y**6 wrt y?
1560*y**3
Let h(f) be the second derivative of 7*f + 0*f**2 - 1/12*f**4 + 0 + 3/10*f**5 + 0*f**3. What is the third derivative of h(w) wrt w?
36
Let v(l) be the first derivative of -9*l**4 + 5*l**3 + 56. What is the third derivative of v(o) wrt o?
-216
Suppose 1 = 3*m - 5. What is the derivative of m - 3*f**2 - 4*f**2 + 8*f**2 wrt f?
2*f
Let h(z) = z**3 + 7*z**2 + 4*z - 7. Let y be h(-6). What is the second derivative of k + 3*k + 0*k + 2*k**y wrt k?
40*k**3
Let i(a) be the third derivative of -a**5/120 + a**4/6 + a**3/2 - 4*a**2. Let r(w) be the first derivative of i(w). What is the first derivative of r(p) wrt p?
-1
Let z(v) be the first derivative of v**3 - 7*v**2/2 + 8. Find the second derivative of z(a) wrt a.
6
Let g(w) = -w**5 + w**3 - w. Let u(j) = 3*j**5 - j**3 + 6*j**2 + j. Let y(s) = -g(s) - u(s). Find the third derivative of y(r) wrt r.
-120*r**2
Let x be 1 - (-6)/((-6)/(-3)). What is the derivative of 2 - 2*j**4 - j**x + 1 wrt j?
-12*j**3
Let x(i) be the third derivative of i**9/504 - i**7/105 - i**5/30 + i**4/3 - 12*i**2. What is the third derivative of x(u) wrt u?
120*u**3 - 48*u
Let i(z) be the third derivative of -z**7/15 + 25*z**3/6 - 7*z**2. Differentiate i(a) wrt a.
-56*a**3
Let x(j) be the second derivative of -11*j**5/20 - 12*j**2 - 26*j. Differentiate x(b) with respect to b.
-33*b**2
Let d = 14 + -9. Let w(x) = x**2 + 2*x + 2. Let m be w(-2). What is the second derivative of -m*i**d + 3*i**3 + i - 3*i**3 wrt i?
-40*i**3
Let w(f) be the second derivative of -3*f**8/56 + 5*f**4/12 - 7*f. What is the third derivative of w(a) wrt a?
-360*a**3
Let d be (-1 + 3)*(-3 + 4). What is the second derivative of 0*k + 2*k**3 - 2*k**3 - d*k + k**3 wrt k?
6*k
Let w(k) be the third derivative of -17*k**5/60 - k**4/24 - 13*k**3/6 - 36*k**2. Find the second derivative of w(x) wrt x.
-34
Let k(s) be the third derivative of s**6/180 - s**4/12 - s**3/3 + 2*s**2. Let a(n) be the first derivative of k(n). Find the first derivative of a(w) wrt w.
4*w
Let l(j) = -2*j**3 - 2*j. Let w(o) = -10*o**3 - 10*o. Let p(b) = 11*l(b) - 2*w(b). What is the second derivative of p(q) wrt q?
-12*q
What is the first derivative of 12 + 27 + 25 - 26 - 7*b wrt b?
-7
Let j(g) be the second derivative of -23*g**6/30 + 3*g**3/2 + 23*g. What is the second derivative of j(v) wrt v?
-276*v**2
Let l be 1/(-2 - 5/(-3)). Let q = l - -5. Find the third derivative of -q*t**5 + 0*t**5 + 0*t**2 + t**2 - 2*t**2 wrt t.
-120*t**2
Let i(k) be the first derivative of -13*k**5/5 - 14*k - 4. What is the first derivative of i(n) wrt n?
-52*n**3
Let g(y) = -13*y**2 - 17*y + 9. Let z(l) = 0*l**2 + 3*l**2 + 2 + 4*l - 4 + 0*l**2. Let s(h) = -2*g(h) - 9*z(h). Find the second derivative of s(i) wrt i.
-2
Let n(o) = -45*o**3 + 3. Let p(z) = -11*z**3 + 1. Let x(r) = -2*n(r) + 9*p(r). What is the derivative of x(f) wrt f?
-27*f**2
Let x(i) be the first derivative of -10*i**7/7 + 4*i**3/3 + 12. Find the third derivative of x(r) wrt r.
-1200*r**3
Let z(u) be the first derivative of 49*u**4/4 - u**3/3 + 38. What is the third derivative of z(g) wrt g?
294
Find the third derivative of 2*l**3 + 3*l**3 + 2*l**3 + 11*l**2 wrt l.
42
Let f(b) be the third derivative of -b**5/20 - 2*b**3/3 + b**2. Find the first derivative of f(t) wrt t.
-6*t
Let j(x) be the third derivative of x**7/1680 - x**6/720 + x**5/20 + x**2. Let i(c) be the third derivative of j(c). Differentiate i(b) wrt b.
3
Let r = -17 + 24. What is the third derivative of -r*p**2 - p**4 - p**4 - p**4 wrt p?
-72*p
Let t(x) = -x - 1. Let l(m) = 4*m + 1. Let f(v) = -2*l(v) + 2*t(v). Differentiate f(n) with respect to
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0 = -n - 3*j + 41. Suppose -2*m + 3*m = n. Suppose w = g - 8, -3*g + m = 5*w + 9. List the prime factors of g.
3
Let d(l) = 19*l**2 - 46*l - 246. What are the prime factors of d(-6)?
2, 3, 7, 17
Let l = -154 + 490. Suppose 4*v = 3*u + 336, 5*v - 2*u = v + l. What are the prime factors of v?
2, 3, 7
Let i(d) = d + 0*d + 11 + 18. Suppose -3*h + 11 = 47. What are the prime factors of i(h)?
17
Let u(x) = x**3 + 12*x**2 - 13*x - 1. Let n be u(-12). Let r be n/2 + (-2)/4. Let f = r + -24. List the prime factors of f.
53
Suppose 5*w + 88 = 433. List the prime factors of w.
3, 23
Suppose -u + 3*r + 326 = 49, 0 = 4*u - r - 1064. Suppose 6*g - 473 = u. What are the prime factors of g?
3, 41
Let d(y) = -y**3 + 25*y**2 - 11*y + 53. Let m be d(23). Suppose -20*b = -17*b - m. What are the prime factors of b?
2, 11, 13
Let l be ((-10)/(-8))/((-5)/(-20)). Suppose -l*s - 380 = -9*s. Suppose 0 = -u - 4*f - f + 45, f + s = 5*u. What are the prime factors of u?
2, 5
Let h = 32 + -34. List the prime factors of 48/18 + h/3.
2
What are the prime factors of (-77)/14 + 2/(-4) + 140?
2, 67
Let h be (-3)/3 + 2*96. Let y = -95 + h. What are the prime factors of y?
2, 3
Let u(d) be the second derivative of 43*d**3/6 - d**2/2 - 2*d. Let o be u(2). Suppose 3*j = -7 - 8, t = 5*j + o. What are the prime factors of t?
2, 3, 5
Let x = -31 - -36. Suppose 24 = x*o - 3*o. List the prime factors of o.
2, 3
Let t(q) = q**3 - 9. Let k be t(0). Let g be ((-15 - -5)*(3 - -2))/2. Let o = k - g. What are the prime factors of o?
2
Let y be -7*(-3 + 5) + 0. Let b = y - -37. What are the prime factors of b?
23
Let s(c) be the first derivative of -c**2 + 8*c + 1. What are the prime factors of s(-11)?
2, 3, 5
Suppose -89*j = -84*j - 27210. List the prime factors of j.
2, 3, 907
Let l(k) = -k**3 + 3*k**2 - 6*k - 5. Let c be l(-4). Let z = c + -76. List the prime factors of z.
5, 11
Let y(t) = -t**3 + t + 3. Let d be y(0). Suppose -d*i - 36 = i - 5*g, 8 = -2*g. What are the prime factors of (-438)/i + 10/(-35)?
31
Suppose 3*t + 4*w = 16, 1 = -t + w + 4*w. Suppose -4*c = t*h - 0*c - 8, -18 = -3*h + c. Suppose h = k - 10. List the prime factors of k.
3, 5
Let u be (-1)/(-6) - (-1 - (-89)/(-6)). Suppose 17*g - 157 = u*g. What are the prime factors of g?
157
Suppose 3*m = 5*s - 5, 5*m = 7*m - s + 8. What are the prime factors of 4/8*m/((-10)/116)?
29
List the prime factors of (-17997)/(-42) - (2 + 9/(-6)).
2, 107
Suppose 4*b + 6772 = 4*v, -2*v + 3392 = -17*b + 21*b. What are the prime factors of v?
2, 7, 11
Let o = 340 + -189. Suppose 4*j - 49 - o = 0. List the prime factors of j.
2, 5
Let a be 3/(-18)*22*-6. Let f(c) = 2*c**2 - 9*c. Let w be f(6). Suppose w = v - 3*i + 8*i, -a = -v - 3*i. What are the prime factors of v?
2, 7
Suppose 0 = d + 5*k + 33, 6*k = -d + 7*k - 3. Let x be (-15 + 1)/(8/(-4)). List the prime factors of (0 - -42) + d + x.
41
Suppose -4*h + 3*v + 1684 = 7*v, 0 = -h + 5*v + 403. What are the prime factors of h?
2, 11, 19
Let i(n) = 7*n - 3. Let t(y) = -y**3 - 10*y**2 - 13. Let u be t(-10). Let s = -10 - u. What are the prime factors of i(s)?
2, 3
List the prime factors of 17 - (-385)/(-22) - (-3270)/4.
19, 43
What are the prime factors of (-3)/3*(5 + -36)*6?
2, 3, 31
Suppose -2*a - 13 = -21. Suppose 0 = -a*t + 4*d - 132, -39 - 26 = 2*t - 3*d. Let m = t - -52. List the prime factors of m.
2, 3
Let n be 3 - ((-9)/3)/3. Suppose -n*c = -5*c + 4. List the prime factors of (-12)/(-32)*4*c.
2, 3
Let s(w) = w**3 - 2*w**3 + 3 + 45*w**2 - 41*w**2. Let p be s(4). Suppose p*v + 4*y - 6 = 0, 5*v = y - 3*y + 10. List the prime factors of v.
2
Let a be 3424/7 + 24/(-168). Let m = -154 + a. What are the prime factors of m?
5, 67
Let u be (1208/(-4))/(1/((-1)/2)). Let g be 5 - (-2)/(-2 - 0). Suppose g*b - u = -47. List the prime factors of b.
2, 13
Let y be 132*-2*(-9)/(-24). Let r = y - -166. List the prime factors of r.
67
Suppose 10 = -6*u + 11*u. Suppose 87 + 11 = u*i. What are the prime factors of i?
7
Suppose -3*w + 150 = -6*w. Let a = -26 - w. What are the prime factors of a?
2, 3
Let s(m) = -m**3 - 3*m**2 + 5*m + 9. Let c(v) = 2*v - 9. Let f be c(6). Let t(i) = -2*i + 2. Let r be t(f). What are the prime factors of s(r)?
5
Suppose -3*k + 2200 = -3104. What are the prime factors of k?
2, 13, 17
Suppose -3*z - 4 + 25 = 0. List the prime factors of z + 52 + (-2 - 1*-3).
2, 3, 5
Let q(t) = -t**3 + 10*t**2 + 12*t - 15. List the prime factors of q(8).
11, 19
Suppose 0 = s - 1 - 1. Suppose 2*a - 3*q - 74 = -s*q, 0 = a + 5*q - 37. List the prime factors of a.
37
Let h(f) = -f**3 + 4*f**2 - 2*f - 2. Let j be h(2). Suppose -v - j*g + 1 = -17, v - 3*g + 2 = 0. List the prime factors of ((-6)/v)/(2/(-30)).
3
Let r = -1950 + 1982. What are the prime factors of r?
2
Suppose p + 144 = 2*z - 0*z, -5*z + 346 = p. Let x be (z/(-21))/((-2)/3). Suppose -x*u + 190 = -0*u. List the prime factors of u.
2, 19
Let b be (9/15)/(3/15). Suppose h - 64 = -3*h. Let s = b + h. List the prime factors of s.
19
Suppose w - 3*q = -q + 32, -4*w = -3*q - 128. Let c = -68 - -44. Let a = w + c. List the prime factors of a.
2
Suppose 9*r - 8*r = 2*d + 769, r - 3*d = 768. What are the prime factors of r?
3, 257
Suppose n - 22 = 33. Suppose a + 51 = 2*o, -2*o + a + n = -4*a. What are the prime factors of o?
5
What are the prime factors of (5 + (-4539)/(-9))*15/10?
2, 191
Suppose 160 = 5*s + 3*s. List the prime factors of s.
2, 5
Suppose -w - 2*w + 6 = 0. List the prime factors of 0 + 35 + w + 10/5.
3, 13
Suppose -9*o + 14*o = 50. Suppose 7*w = o*w - 216. List the prime factors of w.
2, 3
Let r = -37 + 179. What are the prime factors of r?
2, 71
Suppose 0 = -44*m + 111559 + 136777. What are the prime factors of m?
2, 17, 83
Let b(i) = -13*i**2 - 20*i - 25. Let s(c) = -3*c**2 - 5*c - 6. Let t(w) = 2*b(w) - 9*s(w). Let l be t(-5). Suppose l*r = 6 + 6. What are the prime factors of r?
3
Let w(t) = 2*t**3 - 7*t**2 + 3*t + 5. Let n be w(4). Suppose -n - 10 = -k. List the prime factors of k.
43
Suppose -17*f = -14*f + 3*r - 1797, 0 = 2*f + 3*r - 1197. List the prime factors of f.
2, 3, 5
Let d(t) = -t**2 - 10*t + 3. Let a be 92/(-10) - 64/80. Let r be d(a). Suppose r*n + 1 = 3*w + 4, w = -4*n + 24. What are the prime factors of n?
5
Let d = 749 - 373. What are the prime factors of d?
2, 47
Let q(h) = h**2 + 58*h - 101. What are the prime factors of q(52)?
3, 1873
Let a be (-8)/6*66/(-4). Suppose -2*f + a = -94. List the prime factors of f.
2, 29
Suppose 0 = -2*r - 4*l - 500 + 8346, -5*r + 19647 = 2*l. List the prime factors of r.
3931
Suppose -82*g + 6235 = -77*g. List the prime factors of g.
29, 43
Let l(t) = t**3 + 5*t**2 - 7*t + 3. Let f(g) be the third derivative of g**4/24 - 7*g**3/3 - 2*g**2. Let c be f(8). List the prime factors of l(c).
3
Let b(k) = -25*k - 4. Let c = -99 + 93. List the prime factors of b(c).
2, 73
Suppose 3*y + 2*f - 6*f - 2021 = 0, 687 = y + 2*f. What are the prime factors of y?
7, 97
Let i = 64 + -106. Let h = i + 131. What are the prime factors of h?
89
Let m(q) = -q**3 + 4*q**2 + 6*q - 5. Let o be m(5). Suppose -4*k - 12 = o, -13 = 2*t - 0*k - 3*k. Let c = t - -17. List the prime factors of c.
2, 3
Let v = -95 + 95. Suppose 9*a - 363 + 30 = v. List the prime factors of a.
37
Let d(x) = 5*x + 3*x**3 - 34 + 16 + 12 - 5*x**2 - 2*x**3. Suppose 10 = -2*q + 4*q. List the prime factors of d(q).
19
Let v = 60 - 54. Suppose 2*c - v*c = -44. List the prime factors of c.
11
Suppose 0 = -0*q - 2*q - 4*g + 212, 294 = 3*q - 2*g. Suppose q = 2*a - 20. List the prime factors of a.
2, 3, 5
Suppose -24*g + 5553 = -6327. List the prime factors of g.
3, 5, 11
Suppose l = -3*k + 20, 2*l = 2*k - 4*k + 20. Let w(s) = s + 7. Let i be w(7). Suppose 3*z - 3*r - 3 = 0, l*z + i = 4*z + 4*r. List the prime factors of z.
2, 3
Suppose -5*c + 3*a = a + 73, -3*a = -2*c - 27. Let b = c + 15. What are the prime factors of (-2 + b)/(6/(-9))?
3
Suppose m - 3*m + 30 = 0. Suppose 6 = 17*o - m*o. Suppose 0 = -o*n - 4*a + 111, -96 = -4*n - 2*a + 52. List the prime factors of n.
37
Let v be (-320)/16*(-3)/((-3)/(-34)). Suppose 10*i - 2*i - v = 0. What are the prime factors of i?
5, 17
Suppose -2*k = -28 + 14. Suppose -k*s + 425 = 82. What are the prime factors of s?
7
Let d = 175 + -123. Let z = 18 - d. What are the prime factors of -1 - (
|
{
"pile_set_name": "DM Mathematics"
}
|
-26 - -26. Suppose -3*w = -0*w - 36. Let n be w/(-78) + (-129)/(-1092). Is m > n?
True
Suppose -4*v + 2*o - 19 = -183, -4*o = -2*v + 76. Suppose -9*i + 116 = 3*r - 14*i, -5*r + 214 = 2*i. Is v greater than or equal to r?
True
Let j = -1.7 + 1.6. Let u = -579.6 - -579. Which is smaller: j or u?
u
Let v be (2/18)/(218/12). Suppose -273 + 270 = 3*s. Is v < s?
False
Let f = 2028.1 - 2280. Is f <= -1?
True
Let k be ((-24)/10)/(15/(-50)). Suppose 5*y - 31 = 2*t, 0 = 2*t - 1 - 3. Let b = y - k. Which is greater: 1/37 or b?
1/37
Let a be 6/(-189)*(-60954)/8. Let r = a + -242. Is 0 smaller than r?
False
Let q = 21701.4 + -21701. Which is smaller: -44 or q?
-44
Let t = -549 + 548.9558. Let u = 0.0408 - t. Is 1 greater than or equal to u?
True
Let x be 48*-1 - (-1776)/(-74). Which is smaller: x or -85?
-85
Let r = 22.17 - 11.47. Let q = r - -62.3. Let h = 0 - 1. Which is smaller: h or q?
h
Let l(g) = g**2 + 26*g - 82. Let v be l(0). Which is smaller: v or 3/4?
v
Let q = -3341 - -3309. Which is bigger: -5 or q?
-5
Suppose 0 = k - 4*s - 521, -4*k = 5*s - 848 - 1320. Which is smaller: -5 or k?
-5
Let q be 2/(-44)*(163 - 165). Which is smaller: q or 3/461?
3/461
Let k(o) = -9*o - 6. Let r be k(-2). Let n be 25/2 + r/24. Let v = 51/4 - n. Are v and -2 non-equal?
True
Suppose -2*t + u + 3*u = -14, 0 = 7*t + u - 34. Let m be -4*-2*(-3)/(-12). Let g be (m - -2)/1 + -1. Is t not equal to g?
True
Suppose 3*j - 5 = 100. Suppose -4*q = 4, 2*w + q + 0*q = -j. Let d = 1477 + -1477.4. Is d < w?
False
Let r = 1 - -3. Let f = -3487.014 - -3484. Let x = 0.014 + f. Which is smaller: x or r?
x
Let d be 3/((55/160)/(-11)). Let c = d - -90. Which is bigger: -16/3 or c?
-16/3
Let m = 35 + -33. Suppose 27 = m*k + 9. Let a be (-30)/k*(-6)/(-165). Which is smaller: -1 or a?
-1
Let p be 0 - -4 - (1716/11 - -8 - 5). Is -150 greater than p?
True
Let q = 31377 + -8063865/257. Which is greater: q or -1?
q
Let n(q) = 25*q**3 - 327*q**2 + 26*q + 1. Let j be n(13). Is -9/28 < j?
True
Let k = -1.05 - -21.05. Let s = -20.4 + k. Let d be (2/28)/(3/(-12)). Which is bigger: s or d?
d
Let n = 28 - 15. Let h = 2.02 - -1.98. Which is smaller: h or n?
h
Let y = 262 - 146. Let r = y - 116.06. Is -12 smaller than r?
True
Suppose 0 = -2*p + 3*k - 958, 0 = -0*p + 2*p + 5*k + 974. Let x be ((-576)/504)/(20/(-5)). Is p at least as big as x?
False
Let w be 5 - (-5 + (-648)/(-63) - -2). Which is greater: w or 0.01?
0.01
Let j be (16/(-4))/8 - (-2796)/(-8). Let i = 359 + j. Is 10 not equal to i?
True
Let p be 4 - (-16*1)/(21980/(-1850) - -12). Which is smaller: p or 140?
p
Suppose -63 = t + 2*t. Suppose -3*f - 48 = 5*o + 38, 0 = -4*f + 3*o - 76. Which is greater: f or t?
t
Let g(k) be the third derivative of -k**6/120 + 11*k**5/60 + 31*k**4/24 + 29*k**2 + 3*k. Let w be g(15). Is -434 smaller than w?
False
Let k(j) = -4*j**2 - 5*j + 4. Let d be k(-4). Which is greater: d or -42?
d
Let j = -269/293 + 1483949/1172. Is j equal to 1266?
False
Suppose -178214 = -56*k - 50926. Which is smaller: k or 2/5?
2/5
Let n = 25/388 - 16493/1552. Which is smaller: n or -12?
-12
Let p(c) = -c**3 + 12*c**2 + 13*c - 4. Let b be p(13). Let z be 1 + b - 24/9*-3. Is 4 < z?
True
Suppose -3*o = 2*o. Let q be (-380)/(-1425) - 2/20. Is q smaller than o?
False
Suppose 0 = -4*b + 5*v - 12, 5*b - 2*v = -5*v - 15. Let j(w) = w + 1. Let i be j(b). Which is bigger: -0.33 or i?
-0.33
Let k be (-13805)/(-132) + 1 - (4 - -8). Which is bigger: -2/7 or k?
k
Let s be (-5856)/(-1220)*(111 - 0). Which is bigger: 533 or s?
533
Let d be (4/(-12))/(2/6). Let p = 75037 + -5777854/77. Is p less than d?
False
Suppose -3*m - 18 = -2*b + 16, 2*b - 18 = -m. Let h = -9 + b. Suppose -s + 3*w + 7 = 0, 0 = -0*s - 3*s - h*w + 54. Does s = 1?
False
Suppose -61*x + 63*x = -2. Let k be -4 - 3/(x/1). Which is bigger: k or 3/58?
3/58
Let f(v) = 12*v - 198. Let x be f(29). Is x greater than 9?
True
Let q(z) = -5*z**2 - 101*z - 104. Let b be q(-19). Which is smaller: -29 or b?
-29
Let m be (21/9)/(4704/(-504)). Let b = 45.91 - -1.09. Which is smaller: b or m?
m
Let v(q) = q**2 - 76*q + 1643. Let i be v(51). Is i >= 368?
True
Let i be 111/(-21) - 10/(-35). Let h be 78/i - (-10)/(-25). Let j be (-5)/10*h/(-18). Which is smaller: j or 0?
j
Let i = 99 - 89. Suppose -i*g + 30 = -5*g. Suppose -g*a + 7*a = 26. Is 24 greater than a?
False
Suppose 421 = 19*y + 15*y - 361. Which is smaller: -7 or y?
-7
Let c = -523 - -1056. Let x = c - 561. Is x <= 8?
True
Suppose 0 = -4*a + a + 6. Suppose 0 = a*n + 14. Suppose c - 3*p = -c - 19, 0 = -3*c - p - 34. Which is smaller: c or n?
c
Let j be ((10/3)/(-2))/(12/(-36)). Suppose -2*c - j*l = 7 + 22, -c - 5*l - 27 = 0. Let m be (-3 - (-205)/(-5))/c. Is 22 > m?
False
Let q = 291 + -288. Let w be q*5/(-240)*5. Let h(l) = l**2 - l. Let x be h(0). Is x >= w?
True
Let u(p) = p**3 - 8*p**2 + 6*p + 7. Let t be u(7). Let v = -671841/7 + 96663. Let m = -685 + v. Is m less than or equal to t?
False
Let h(j) = 2*j**2 + 2*j + 3. Let u be h(-5). Let s = -46 + u. Let q be (-6)/s - ((-4)/(-1))/(-4). Which is smaller: -2 or q?
-2
Let m = -2485 + 2461. Let u(p) = -p**3 + p - 13. Let w be u(0). Which is greater: w or m?
w
Let h(c) = -c**3 - 36*c**2 + 84*c + 319. Let p be h(-38). Suppose -252 = -5*r + r. Suppose -5*b = -12 - r. Does b = p?
True
Let h = -159501/18444310 + 6/685. Which is smaller: h or 0?
0
Let f = -1837 + 1837. Let d(c) = 3*c - 4. Let q be d(3). Suppose q*y = -5*l - 70, 2*l = 1 + 1. Which is bigger: f or y?
f
Let b = -1793 + 57371/32. Let d = 81/416 + b. Which is smaller: -1 or d?
-1
Let y be 110866/(-1232) - 42/112. Which is greater: y or -91?
y
Let v = 4057 - 4050. Is v smaller than -48.2?
False
Suppose -5*h = -3*c - 137, -5*h + 136 = -0*c - 4*c. Let s be (7/h)/((-2)/8). Which is bigger: s or -2/1139?
-2/1139
Let k = -2 - 0. Let c = -14741295/11 - -1338581. Let j = c - -1536. Does k = j?
False
Let m = -490 + 487.67. Let z = -123001 + 492003/4. Is z < m?
False
Let q be (-660)/(-144)*36/(-90). Let s(m) = -m - 8. Let v be s(-5). Which is smaller: v or q?
v
Let j = 250 + -442. Let f = -299 - j. Are -0.2 and f equal?
False
Let m be (5/15)/(2/6). Let o be (m/2)/(14/84). Suppose o*u + 16 = 22. Do -4 and u have different values?
True
Let o(w) = -w**3 + 30*w**2 + 118*w + 597. Let a be o(34). Suppose -3*f + 3*l = -57, 3*l = -3*f + 2*f + 23. Let d = 3 - f. Which is smaller: a or d?
d
Let z(f) = -3*f**2 + 219*f - 216. Let q be z(72). Which is greater: -4/3993 or q?
q
Suppose -244*h = -238*h - 6. Let v be 0 + (-16)/28 + h. Which is greater: v or 1.7?
1.7
Let j be -6*((-15)/(-6))/(-5). Let s = j - 5. Let n be (-36)/216*198/21. Which is greater: n or s?
n
Let w be 1*-3 - (2 + -8). Let h be ((-4)/2)/(2/(-6)*w). Let g be (0 + -1)/(h*(-2)/52). Are g and 13 nonequal?
False
Let a = -2 + 2.0606. Let c = -0.4606 + a. Which is smaller: c or -0.23?
c
Let k be 40/16 + (-1)/2. Let u(z) = 7*z - 10. Let g(x) = -3*x + 5. Let n(q) = k*u(q) + 5*g(q). Let b be n(26). Which is smaller: b or 2?
b
Suppose 3*p + 24 = -12. Let i be (-5)/(15/p) - (-4)/(-4). Suppose 5*l - i*l + 8 = 0. Is -4 less than or equal to l?
True
Let i = -0.114 + -80.886. Let u = -0.02 - -49.02. Let j = i + u. Which is greater: -1 or j?
-1
Let b = -32228 - -32220. Is -119.1 at most as big as b?
True
Let g(k) = 2*k**2 - 38*k + 24. Let n be g(20). Let h be ((-3)/(-6))/(1/134). Let p = n - h. Which is greater: p or 2?
2
Suppose -5*u = 3*o - 20, -39 = -11*u + 9*u + 5*o. Let a(y) = 15*y**3 - 2*y - 4*y**2 - 16*y**3 + 2*y**2 + 4 + 5*y. Let j be a(-3). Which is bigger: u or j?
u
Let a = 11 + -3. Let j be 46/a + -2*(-3)/(-8). Suppose 2*n - 12 = 4*o, -2*n = -4*n - j*o + 48. Are n and 13 unequal?
True
Let s be (-12)/(-10)*742/(-28) - -7. Is s greater than or equal to 9?
False
Let g = 32147 + -32076. Is g <= 19/5?
False
Suppose 16*s + 3981 = 19*s - 6*o, 0 = 2*s - 5*o - 2656. Which is greater: s or 1322?
s
Let w = -58.35 + 58. Let o = 0.35 - w. Let p = -136.6 + 137. Which is smaller: p or o?
p
Suppose 69 = 2*i - 1. Suppose -6139 = i*b - 399. Which is bigger: b or -162?
-162
Let f(h) = 6*h**2 - 6*h. Let s(y) = -7*y**2 + 7*y - 1. Let z(p) = 6*f(p) + 5*s(p). Let l be z(-2). Let r be 0 + (3/(-10) - 0). Which is smaller: r or l?
r
Let o be 1/((-551)/(-831) - 62/93). Is o less than or equal to -1389/5?
False
Let r(g)
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the fourth smallest value in 0.3, -1/4, -3, -0.1282?
0.3
Which is the biggest value? (a) 2.7 (b) 5 (c) 458
c
What is the third biggest value in -1/12, 157, 5, -5, 9, 13?
9
Which is the second biggest value? (a) -2/17 (b) -13 (c) 3 (d) 9 (e) 1/2
c
Which is the biggest value? (a) -0.06 (b) 90/11 (c) 0.11 (d) 14 (e) 4
d
Which is the second smallest value? (a) -0.4 (b) 1830 (c) -56.8 (d) 5 (e) 3
a
Which is the biggest value? (a) -6/7 (b) -1 (c) -1.22
a
Which is the smallest value? (a) 3/5 (b) 94 (c) 48 (d) -2 (e) -5 (f) -0.2
e
What is the second biggest value in 61/4, -1/4, 31, 22/7?
61/4
What is the smallest value in 5, 5211, 2/13?
2/13
Which is the fourth smallest value? (a) 4/5 (b) 0.1 (c) -2/7 (d) 5396 (e) -4
a
What is the fourth smallest value in -5/4, 0, 566, -0.5?
566
Which is the biggest value? (a) -323/4 (b) 0.5 (c) -5
b
What is the sixth biggest value in 1, -1/6, 1/7, -15, 13, -0.3?
-15
What is the fifth smallest value in 0, 5, 69, 1/9, 1/4?
69
What is the second biggest value in 2, -153, -0.007, 0.07?
0.07
What is the second biggest value in -25, -2, 1786?
-2
What is the third biggest value in 0, 1/3, 3, -1/5, -0.014?
0
Which is the sixth biggest value? (a) 0.1 (b) 2/3 (c) -2/7 (d) -20/9 (e) -0.4 (f) 52
d
What is the smallest value in 3, -3, -89, -1/2?
-89
Which is the third smallest value? (a) -47 (b) -0.1 (c) -2 (d) -154
c
What is the fourth biggest value in 31, 3, -0.2, 25, -2?
-0.2
Which is the biggest value? (a) 4 (b) 25671 (c) 2
b
Which is the second smallest value? (a) -39 (b) -0.4 (c) 8 (d) 0.1 (e) -1/4
b
What is the third smallest value in -177, 343, 4?
343
Which is the smallest value? (a) 3/2 (b) -0.3 (c) 3/685 (d) 2
b
Which is the fourth biggest value? (a) 1/7 (b) -2/9 (c) -94 (d) -0.5
c
Which is the third smallest value? (a) -0.0969 (b) 33 (c) 0.5
b
What is the fifth smallest value in -5, 5, -0.7, 2, 1, 14?
5
Which is the biggest value? (a) 5 (b) 1 (c) -10 (d) -3 (e) 4 (f) 19
f
Which is the third smallest value? (a) 7 (b) -67 (c) 1044
c
Which is the fifth biggest value? (a) 3 (b) -1 (c) 14 (d) 4 (e) -5/328
b
Which is the second smallest value? (a) 2 (b) 0.5 (c) 73 (d) -0.054
b
What is the third smallest value in -1, 3, -0.05, 0.4, -5.9?
-0.05
What is the smallest value in -12, -4/5, 2/425?
-12
What is the third smallest value in -1/5, -0.6, -4/83?
-4/83
Which is the biggest value? (a) -0.54 (b) 2/65 (c) -4/7 (d) 2/3
d
Which is the biggest value? (a) 3.24 (b) -5 (c) 5 (d) -2/59
c
Which is the fifth smallest value? (a) -2 (b) 3 (c) -6 (d) -0.3 (e) 1.2 (f) 0.044
e
What is the third smallest value in -3, 0.165, -1/4?
0.165
What is the second smallest value in 75, -0.3, -9, 2, -1/5, -0.5?
-0.5
Which is the smallest value? (a) 0 (b) 45395 (c) -1
c
What is the second biggest value in -52, -49, 5.7?
-49
What is the fourth biggest value in -0.3, -0.0127, 2/15, -2, -135?
-2
Which is the smallest value? (a) 0.03 (b) -1/2 (c) 4/7 (d) -169 (e) 0.2
d
Which is the second biggest value? (a) 0.62 (b) 1/4 (c) 0.4 (d) -24
c
Which is the second smallest value? (a) 24 (b) -7/9 (c) -27
b
What is the fifth biggest value in 28, 4, 2/9, -8, -0.1?
-8
Which is the smallest value? (a) 4 (b) 0.5 (c) -4 (d) 48 (e) 1/10
c
What is the second biggest value in -2070, 17, 0.03?
0.03
What is the biggest value in 0.08, 1172, 1?
1172
What is the biggest value in 5, -3697, 0.32, -0.5?
5
What is the smallest value in -1333, -8, 2?
-1333
What is the fifth smallest value in -0.3, 0.9, -88, -2, 3?
3
What is the smallest value in 2/29, -2/9, 5, -0.46?
-0.46
What is the fourth smallest value in 3/26, 0.4, -0.9, 804?
804
Which is the second biggest value? (a) 2 (b) -75 (c) -0.046
c
Which is the fourth biggest value? (a) -0.1 (b) -6670 (c) -5 (d) 4
b
Which is the third smallest value? (a) -2604 (b) 9 (c) -7
b
What is the fourth biggest value in 0.22, -1, -0.202, -2, -0.3?
-1
What is the third smallest value in -2, -51/200, 3, 5, 2?
2
What is the second biggest value in -0.66, -5, 0.6, 2/13, 1?
0.6
Which is the fourth biggest value? (a) 4/7 (b) 2 (c) 32.12 (d) -1/4
d
Which is the fourth biggest value? (a) -1 (b) -1/10 (c) -0.87 (d) 4 (e) 1
c
What is the second smallest value in -0.2, -273117, 5?
-0.2
Which is the third smallest value? (a) 0.4 (b) -775 (c) -2 (d) -2/5 (e) -0.2 (f) -2/9
d
Which is the smallest value? (a) 49/423 (b) -4 (c) -0.2 (d) -1
b
What is the second biggest value in 5, -3/8, -3, -16?
-3/8
Which is the fourth biggest value? (a) -6 (b) -1/400 (c) 1/4 (d) -4
a
What is the biggest value in 14, 3, -1, -0.14, -0.4, -0.7?
14
Which is the third biggest value? (a) -585 (b) 0.11 (c) 3/26
a
Which is the fourth biggest value? (a) 4 (b) -1/23 (c) 6 (d) -0.2 (e) 0.05
b
Which is the fourth smallest value? (a) -0.05 (b) -120 (c) 1/3 (d) 4
d
Which is the second biggest value? (a) -36 (b) 1/7 (c) 1/6 (d) -9/5 (e) -0.3 (f) -1
b
Which is the fourth smallest value? (a) -2/139 (b) 0.4 (c) -0.3 (d) -0.23
b
Which is the smallest value? (a) 0.2 (b) -33 (c) 87 (d) -2 (e) -5 (f) -0.1
b
What is the second smallest value in 0.29, 0, -48, 0.5?
0
Which is the second biggest value? (a) 669 (b) 5 (c) 0.103 (d) -0.04
b
Which is the biggest value? (a) 0.31 (b) 0.151 (c) 3 (d) 116 (e) 2/9
d
Which is the fifth biggest value? (a) -0.75 (b) 4/3 (c) -1 (d) -70/13 (e) 2/17
d
Which is the third biggest value? (a) 1 (b) -1432 (c) 8/7
b
Which is the biggest value? (a) 13215 (b) -4 (c) -0.1 (d) 1/8
a
Which is the smallest value? (a) 0.1 (b) -1650 (c) -157
b
What is the biggest value in 0.2, -267/73, 0?
0.2
Which is the fifth biggest value? (a) -3 (b) 5 (c) -0.9581 (d) -0.5 (e) 4 (f) -1
f
Which is the second smallest value? (a) 0 (b) 74/7 (c) 49
b
What is the smallest value in 89, 306, -0.1, -0.4?
-0.4
Which is the second smallest value? (a) -0.021 (b) 0.04 (c) 2/47
b
What is the fourth biggest value in -135, -36, -6.7, -3?
-135
What is the second biggest value in -3, 0.2, 1/6, 135773?
0.2
Which is the second biggest value? (a) -2/13 (b) -308 (c) -1
c
Which is the fifth biggest value? (a) -93 (b) -0.1 (c) 0.6 (d) 1/3 (e) -1/6 (f) 1/6
e
Which is the biggest value? (a) -525 (b) 31/5 (c) 0.03
b
What is the third smallest value in -44, -5, 53, -2, 2/5?
-2
Which is the second smallest value? (a) -2/15 (b) -3 (c) -4 (d) -5/8 (e) -0.3
b
What is the second biggest value in -2/5, -2, 0.1, -0.5, -0.289?
-0.289
What is the second smallest value in 1/3, -48/37, 4, 0.1, -19?
-48/37
What is the fifth biggest value in -0.3, -3/5, 0.09, 1/8, 0, -1?
-3/5
Which is the fourth biggest value? (a) 2.4 (b) 5 (c) -36/61 (d) -1
d
What is the third smallest value in 0.24, 6, -2/4251?
6
Which is the fourth biggest value? (a) -5 (b) 0.14 (c) -48 (d) 1/21
c
What is the fifth biggest value in -177, -1/9, -0.2, 0.1, 8/7?
-177
Which is the smallest value? (a) -0.07 (b) 25 (c) -0.5 (d) -8/7
d
What is the fifth smallest value in 11/3, 0, 0.175, -0.02, 0.2?
11/3
What is the second biggest value in 0, -0.06, -2, -174/11, 0.144?
0
Which is the third biggest value? (a) 0.2225 (b) 0 (c) 27 (d) -1
b
Which is the third smallest value? (a) 0.2437 (b) 3 (c) 2
b
Which is the third biggest value? (a) -1 (b) -2/13 (c) -61 (d) -2/3 (e) 2/11
d
What is the second biggest value in -3967, 39, -5?
-5
What is the third biggest value in 1/4, -0.1, 1/6, -1/4, -5/2?
-0.1
Which is the second smallest value? (a) 4611 (b) -5 (c) 1/9 (d) 0.06
d
Which is the fifth smallest value? (a) 3/4 (b) 0.1 (c) 427 (d) 8/11 (e) 0.4
c
Which is the fifth smallest value? (a) 3.01 (b) -3 (c) 14 (d) 2/7 (e) -18
c
What is the fifth smallest value in 2/37, -16, 0, 5, -1/3?
5
Which is the third smallest value? (a) -0.04473 (b) 0.2 (c) -0.4 (d) -0.3
a
What is the third smallest value in 3/2, 2/3, 187, -0.1?
3/2
Which is the second biggest value? (a) -0.5 (b) 2963/3 (c) 0
c
Which is the second smallest value? (a) 3 (b) -2/15 (c) -22 (d) 1 (e) 1/72
b
What is the fourth smallest value in 5/6, 1, -6.59, 3?
3
What is the second biggest value in 0.9, 0.1745, 0, -1/3, 1/3, -3?
1/3
What is the fift
|
{
"pile_set_name": "DM Mathematics"
}
|
/5 of a gram in milligrams?
9600
What is 305.9571 litres in millilitres?
305957.1
How many millilitres are there in 422.2148l?
422214.8
Convert 43.30984um to centimeters.
0.004330984
How many decades are there in 0.2585033 millennia?
25.85033
What is one sixth of a week in minutes?
1680
How many seconds are there in 0.2998398ns?
0.0000000002998398
What is 3/8 of a meter in millimeters?
375
What is 79/2 of a kilogram in grams?
39500
What is 48.71105t in kilograms?
48711.05
Convert 47245.4 millennia to months.
566944800
What is 538.7223kg in tonnes?
0.5387223
How many meters are there in 19/4 of a kilometer?
4750
How many micrograms are there in 3/10 of a milligram?
300
How many millilitres are there in 3/8 of a litre?
375
How many kilometers are there in 746524.8nm?
0.0000007465248
What is 242271.48 months in millennia?
20.18929
What is 7/2 of a litre in millilitres?
3500
What is 13/5 of a litre in millilitres?
2600
Convert 7594.64 centuries to months.
9113568
What is one quarter of a millennium in months?
3000
Convert 1.4092719 months to millennia.
0.000117439325
Convert 896.5195 millilitres to litres.
0.8965195
What is 972.04 tonnes in milligrams?
972040000000
Convert 5.37626 litres to millilitres.
5376.26
How many minutes are there in fourteeen ninths of a week?
15680
How many millilitres are there in five quarters of a litre?
1250
What is 332282.3 millilitres in litres?
332.2823
What is 61/4 of a microgram in nanograms?
15250
What is 6/5 of a meter in millimeters?
1200
Convert 355.5815 millilitres to litres.
0.3555815
How many grams are there in six fifths of a kilogram?
1200
What is fifty-three fifths of a decade in years?
106
What is 13/5 of a microgram in nanograms?
2600
What is three eighths of a centimeter in micrometers?
3750
How many micrograms are there in 19/4 of a milligram?
4750
What is 27/5 of a kilometer in meters?
5400
How many millilitres are there in five quarters of a litre?
1250
How many months are there in 4/3 of a millennium?
16000
How many minutes are there in 19/7 of a week?
27360
How many days are there in 2204832.96s?
25.5189
What is 783.68265 nanoseconds in hours?
0.000000000217689625
Convert 256.5297 milligrams to grams.
0.2565297
How many meters are there in 2001.628km?
2001628
How many months are there in 10/3 of a century?
4000
What is 3/25 of a kilogram in grams?
120
How many minutes are there in 23949.333us?
0.00039915555
How many decades are there in twenty-one halves of a millennium?
1050
What is 39617.73 years in millennia?
39.61773
How many millilitres are there in 25/4 of a litre?
6250
What is fourty-five quarters of a microgram in nanograms?
11250
Convert 9.759953l to millilitres.
9759.953
How many millilitres are there in thirty-one fifths of a litre?
6200
What is 7/4 of a millennium in years?
1750
What is 60.23668um in nanometers?
60236.68
What is 5/8 of a gram in milligrams?
625
What is 2676.976ug in grams?
0.002676976
How many kilometers are there in 4528.6mm?
0.0045286
How many meters are there in 44/5 of a kilometer?
8800
What is 3.763913 milliseconds in seconds?
0.003763913
Convert 0.973916ml to litres.
0.000973916
Convert 5351.212ml to litres.
5.351212
How many grams are there in 776.9983mg?
0.7769983
What is 45/2 of a litre in millilitres?
22500
How many months are there in 3540.071 decades?
424808.52
How many millennia are there in 1517071.5 months?
126.422625
What is one tenth of a kilometer in centimeters?
10000
How many meters are there in 7/4 of a kilometer?
1750
What is 21/5 of a century in years?
420
How many millennia are there in 20319.71 decades?
203.1971
What is 3149.905km in micrometers?
3149905000000
How many grams are there in 45/4 of a kilogram?
11250
What is 51/5 of a litre in millilitres?
10200
What is 878.44311 seconds in hours?
0.244011975
What is twenty-six fifths of a milligram in micrograms?
5200
What is 41.02858 millennia in months?
492342.96
What is thirty-one fifths of a milligram in micrograms?
6200
What is fourty-four fifths of a tonne in kilograms?
8800
What is one tenth of a micrometer in nanometers?
100
What is 1580.854023ns in weeks?
0.0000000000026138459375
How many minutes are there in three eighths of a day?
540
What is 17/2 of a litre in millilitres?
8500
How many micrometers are there in 1/20 of a meter?
50000
How many centimeters are there in 730.176um?
0.0730176
How many grams are there in 21/4 of a kilogram?
5250
What is 9/10 of a century in years?
90
Convert 792.0197 millilitres to litres.
0.7920197
How many kilograms are there in 11/10 of a tonne?
1100
Convert 839.6815t to nanograms.
839681500000000000
Convert 68363.82t to nanograms.
68363820000000000000
What is 7.077866 decades in years?
70.77866
What is 17/4 of a litre in millilitres?
4250
Convert 11213.7s to minutes.
186.895
Convert 1.793133 decades to centuries.
0.1793133
How many grams are there in 1/10 of a kilogram?
100
What is seventeen quarters of a meter in millimeters?
4250
Convert 5.76002l to millilitres.
5760.02
What is 2/105 of a week in seconds?
11520
Convert 77.702724ns to hours.
0.00000000002158409
Convert 5.7305mg to tonnes.
0.0000000057305
What is 3/25 of a milligram in micrograms?
120
How many millilitres are there in five eighths of a litre?
625
How many micrometers are there in fifty-one halves of a millimeter?
25500
What is 8815.98249ns in weeks?
0.000000000014576690625
What is 0.0513552kg in tonnes?
0.0000513552
How many nanograms are there in 3/8 of a microgram?
375
Convert 55672.7 centimeters to meters.
556.727
How many millilitres are there in twenty-one fifths of a litre?
4200
What is 7/8 of a microgram in nanograms?
875
What is 1/20 of a second in microseconds?
50000
How many millilitres are there in 3/8 of a litre?
375
Convert 0.9188624cm to meters.
0.009188624
How many kilograms are there in 54555.22ug?
0.00005455522
How many decades are there in seventeen halves of a millennium?
850
How many meters are there in seven halves of a kilometer?
3500
How many nanometers are there in nine tenths of a micrometer?
900
What is twenty-nine halves of a litre in millilitres?
14500
What is 1/4 of a century in years?
25
What is 7/25 of a meter in centimeters?
28
Convert 403.543 milligrams to tonnes.
0.000000403543
Convert 0.9811997 centuries to millennia.
0.09811997
What is 3/50 of a microgram in nanograms?
60
What is 6.483476 years in decades?
0.6483476
How many nanoseconds are there in 3.14457 weeks?
1901835936000000
How many millilitres are there in thirty-one fifths of a litre?
6200
How many micrometers are there in 1/20 of a meter?
50000
How many decades are there in 6731.29 centuries?
67312.9
How many months are there in 44/5 of a decade?
1056
How many nanoseconds are there in 60.839 minutes?
3650340000000
How many millilitres are there in 711179.5l?
711179500
How many millimeters are there in 31/5 of a meter?
6200
What is 980.4016 litres in millilitres?
980401.6
What is 5173202.7 microseconds in hours?
0.00143700075
What is 0.54636ml in litres?
0.00054636
Convert 83843.92 micrometers to nanometers.
83843920
How many kilograms are there in eleven eighths of a tonne?
1375
How many milligrams are there in 25/4 of a gram?
6250
What is 3/32 of a kilogram in milligrams?
93750
How many meters are there in twenty-one halves of a kilometer?
10500
Convert 710115.3 nanometers to meters.
0.0007101153
How many microseconds are there in 9/10 of a millisecond?
900
What is 3/25 of a meter in centimeters?
12
How many milligrams are there in 31/2 of a gram?
15500
How many months are there in 3/5 of a millennium?
7200
How many nanometers are there in 553.206km?
553206000000000
What is 4/3 of a day in hours?
32
How many micrometers are there in seven quarters of a millimeter?
1750
How many milliseconds are there in 2.371674 microseconds?
0.002371674
Convert 2878.567 decades to millennia.
28.78567
Convert 9.088892 centuries to years.
908.8892
Convert 53333.36 litres to millilitres.
53333360
Convert 869.3853 meters to millimeters.
869385.3
What is 45.86891km in millimeters?
45868910
What is 1039992.3 nanoseconds in hours?
0.00000028888675
How many minutes are there in 17/2 of a hour?
510
What is one fifth of a litre in millilitres?
200
How many months are there in 7/4 of a millennium?
21000
How man
|
{
"pile_set_name": "DM Mathematics"
}
|
8
What is the least common multiple of 66 and 99?
198
What is the least common multiple of 9 and 145?
1305
Calculate the common denominator of 85/112 and 85/112.
112
Find the common denominator of 83/2223 and -29/104.
17784
Calculate the lowest common multiple of 2472 and 11.
27192
What is the lowest common multiple of 148 and 44?
1628
What is the lowest common multiple of 2233 and 13?
29029
What is the common denominator of -107/2576 and -109/552?
7728
Find the common denominator of 139/180 and -79/900.
900
Calculate the common denominator of -47/21 and 109/28.
84
What is the common denominator of 31/615 and -46/15?
615
What is the lowest common multiple of 11 and 6?
66
What is the smallest common multiple of 96 and 8?
96
Find the common denominator of 41/6 and 1/4462.
13386
What is the lowest common multiple of 5088 and 60?
25440
What is the common denominator of -101/218 and -85/18?
1962
Find the common denominator of 3/1343 and 57/869.
14773
What is the common denominator of -73/154 and 97/176?
1232
Calculate the common denominator of -19/4975 and -2/75.
14925
Calculate the common denominator of 9/14 and -151/15618.
109326
Calculate the smallest common multiple of 165 and 55.
165
Calculate the common denominator of 77/80 and 31/160.
160
Calculate the smallest common multiple of 2 and 7.
14
What is the common denominator of -43/245 and 33/875?
6125
Calculate the least common multiple of 500 and 320.
8000
What is the common denominator of 91/66 and -79/30?
330
Calculate the least common multiple of 51 and 10.
510
Calculate the common denominator of 107/2268 and -89/462.
24948
What is the lowest common multiple of 108 and 3888?
3888
What is the common denominator of 25/56 and 31/56?
56
Calculate the common denominator of -7/144 and -17/1083.
51984
Find the common denominator of -55/7 and -89/154.
154
What is the lowest common multiple of 50 and 370?
1850
What is the common denominator of -19/2 and -139/39738?
39738
What is the common denominator of 4/39 and -40/117?
117
What is the common denominator of 127/12 and 83/76?
228
Calculate the least common multiple of 2200 and 3300.
6600
What is the common denominator of -4/63 and 125/168?
504
What is the lowest common multiple of 160 and 440?
1760
What is the common denominator of 89/60 and 33/5?
60
What is the smallest common multiple of 10 and 4371?
43710
What is the lowest common multiple of 70 and 12?
420
What is the lowest common multiple of 50 and 12?
300
What is the lowest common multiple of 96 and 9?
288
Calculate the common denominator of 71/224 and -11/400.
5600
What is the least common multiple of 143 and 33?
429
What is the common denominator of -107/36 and -1/44?
396
What is the smallest common multiple of 39 and 9?
117
Find the common denominator of -119/36 and -103/30.
180
What is the common denominator of 103/3336 and 89/16?
6672
What is the common denominator of -137/276 and 133/216?
4968
What is the common denominator of 93/1390 and 151/18?
12510
Calculate the least common multiple of 27 and 1155.
10395
Calculate the smallest common multiple of 1085 and 2170.
2170
Find the common denominator of -83/36 and -71/78.
468
Calculate the common denominator of -53/2 and 7/446.
446
Find the common denominator of -113/12 and 85/11064.
11064
What is the lowest common multiple of 156 and 40?
1560
Calculate the smallest common multiple of 287 and 9.
2583
Find the common denominator of 79/36 and 41/18.
36
Calculate the common denominator of -101/30 and 7/5412.
27060
Calculate the least common multiple of 45 and 168.
2520
Calculate the lowest common multiple of 1065 and 5.
1065
What is the lowest common multiple of 27 and 396?
1188
What is the common denominator of 161/270 and -13/270?
270
Find the common denominator of 55/3484 and -62/5.
17420
Calculate the lowest common multiple of 78 and 48.
624
Find the common denominator of -89/20 and 79/284.
1420
Calculate the lowest common multiple of 63 and 2030.
18270
What is the least common multiple of 99 and 45?
495
What is the common denominator of -103/96 and -35/48?
96
What is the common denominator of 31/13124 and -24?
13124
Calculate the least common multiple of 76 and 16.
304
What is the common denominator of 119/20 and 26/315?
1260
What is the least common multiple of 75 and 9?
225
Find the common denominator of -34/5 and 145/13578.
67890
What is the common denominator of 5/6796 and -21/2?
6796
Calculate the least common multiple of 1476 and 7380.
7380
Calculate the common denominator of -139/18 and -23/2892.
8676
What is the lowest common multiple of 418 and 342?
3762
Calculate the common denominator of -6/403 and -17/78.
2418
Calculate the least common multiple of 140 and 140.
140
Calculate the lowest common multiple of 24 and 60.
120
Calculate the common denominator of -119/60 and -59/12.
60
Calculate the least common multiple of 845 and 555.
93795
Find the common denominator of -37/145 and 64/87.
435
What is the common denominator of -47/297 and 169/42?
4158
What is the smallest common multiple of 8340 and 1112?
16680
What is the common denominator of -3 and 97/110?
110
Calculate the common denominator of -52/77 and -55/7.
77
What is the least common multiple of 229 and 1?
229
Find the common denominator of -87/188 and -143/36.
1692
Calculate the common denominator of -47/54 and -139/18.
54
What is the common denominator of -31/50 and -71/15?
150
What is the smallest common multiple of 456 and 2964?
5928
What is the common denominator of 117/14860 and -51/8?
29720
Calculate the common denominator of 3/6637 and 29/8.
53096
What is the smallest common multiple of 2058 and 686?
2058
Calculate the common denominator of 4/99 and 48/121.
1089
Calculate the common denominator of 51/2 and -19/186.
186
Calculate the common denominator of -7/90 and -71/120.
360
What is the common denominator of 36/7 and -37/533?
3731
What is the smallest common multiple of 135 and 66?
2970
Find the common denominator of 119/30 and -70/27.
270
Find the common denominator of -55/98 and 83/168.
1176
What is the least common multiple of 24 and 33?
264
What is the smallest common multiple of 6150 and 450?
18450
What is the least common multiple of 2130 and 3?
2130
What is the common denominator of 39 and 45/11?
11
Calculate the least common multiple of 3270 and 1635.
3270
Calculate the smallest common multiple of 9 and 17.
153
Calculate the least common multiple of 104 and 13.
104
Find the common denominator of -95/42 and 125/102.
714
What is the common denominator of -46/369 and -119/410?
3690
Find the common denominator of -51/8 and -7/32.
32
What is the least common multiple of 50 and 55?
550
What is the least common multiple of 63 and 21?
63
Calculate the least common multiple of 30 and 60.
60
Calculate the common denominator of -23/95 and -45.
95
Find the common denominator of 145/72 and 23/132.
792
What is the common denominator of 21/5 and -83/21?
105
Calculate the smallest common multiple of 512 and 1.
512
Calculate the least common multiple of 30 and 7.
210
What is the smallest common multiple of 392 and 1134?
31752
What is the smallest common multiple of 410 and 164?
820
What is the least common multiple of 84 and 1612?
33852
What is the common denominator of -13/33 and 137/192?
2112
Calculate the common denominator of 3/11 and 40/3893.
42823
Calculate the least common multiple of 2230 and 1561.
15610
Calculate the lowest common multiple of 65 and 15.
195
What is the smallest common multiple of 4 and 2420?
2420
Find the common denominator of 1/87 and 32/63.
1827
What is the common denominator of 29/686 and 31/84?
4116
Calculate the smallest common multiple of 83 and 664.
664
Find the common denominator of 15/394 and -91/44.
8668
What is the smallest common multiple of 9 and 270?
270
Find the common denominator of 119/930 and 73/620.
1860
Find the common denominator of 55/1198 and 13/12.
7188
Calculate the lowest common multiple of 50 and 30.
150
Calculate the common denominator of 89/114 and 61/660.
12540
Calculate the lowest common multiple of 77 and 11.
77
What is the smallest common multiple of 4 and 3?
12
What is the common denominator of -109/162 and 139/72?
648
Calculate the lowest common multiple of 16 and 320.
320
Calculate the least common multi
|
{
"pile_set_name": "DM Mathematics"
}
|
z) wrt z.
4
What is the second derivative of -1 + 1 - 2962*u**5 + 19*u + 1471*u**5 + u**3 + 1485*u**5 wrt u?
-120*u**3 + 6*u
Let s(f) be the third derivative of 0*f**4 + 0*f**5 + 0 + 2*f + 32/105*f**7 + 0*f**6 - 67/6*f**3 - f**2. Find the first derivative of s(j) wrt j.
256*j**3
Let i(q) be the first derivative of 5/3*q**3 - q + 13/2*q**2 + 92. What is the second derivative of i(b) wrt b?
10
Let p = -191 - -198. Let d(r) = r**2 + 5*r - 1. Let o(c) = -3*c**2 - 10*c + 3. Let u(f) = p*d(f) + 3*o(f). What is the first derivative of u(a) wrt a?
-4*a + 5
Let l(d) = d**2 - 4*d + 3. Let p be l(3). Let k be ((-1)/2*p)/(13 - 11). Find the first derivative of k + 5*w**3 - w**3 - 1 + 2 wrt w.
12*w**2
Let g(f) be the second derivative of 507*f**7/7 + 111*f**3/2 + 3123*f. What is the second derivative of g(w) wrt w?
60840*w**3
Suppose r - 63 = 7*v - 9*v, 4*v + 4*r = 128. What is the first derivative of 0*d**3 + d + 2 + 95 - v*d**3 + 41 wrt d?
-93*d**2 + 1
Find the first derivative of 820 + 3933*t**4 + 132 + 826 + 770 wrt t.
15732*t**3
Let o(v) be the third derivative of 34 - 3/2*v**5 - v**2 + 0*v**4 + 0*v + 2/5*v**6 + 0*v**3. Find the third derivative of o(j) wrt j.
288
Let g(l) be the second derivative of -565*l**3/2 + 15*l**2 - 674*l. Differentiate g(b) with respect to b.
-1695
Let z = 70 + -72. Let d be (-5 + (-114)/(-24))/(z/24). What is the third derivative of -5*s**2 + 11*s**3 - 6*s**2 - 31*s**d wrt s?
-120
Let p = 61 + -59. What is the first derivative of -14 - 26*s**p - 25 - 15*s**2 + 27 wrt s?
-82*s
Let l(y) = -y**3 - y**2. Let m(w) = -5*w**3 - 4*w**2 + 630*w + 1525. Let c(r) = 4*l(r) - m(r). Differentiate c(u) wrt u.
3*u**2 - 630
Let x(u) = -465*u**3 + 243*u**2. Let l(h) = 467*h**3 - 243*h**2. Let p(v) = 6*l(v) + 4*x(v). What is the third derivative of p(s) wrt s?
5652
Let n(f) = -888*f**2 + 5885*f + 30. Let z(v) = -888*v**2 + 5886*v + 24. Let k(c) = 4*n(c) - 5*z(c). What is the second derivative of k(h) wrt h?
1776
Let o(v) be the first derivative of 0*v**4 + 166 + 0*v**3 + 0*v**2 + 211*v + 32/5*v**5. Find the first derivative of o(s) wrt s.
128*s**3
Let d(h) be the second derivative of 2 + 1/3*h**3 + 0*h**4 + 2*h - 61/2*h**2 + 0*h**5 + 14/5*h**6. What is the derivative of d(p) wrt p?
336*p**3 + 2
Find the third derivative of -71*d + 230*d - 91*d + 2711*d**2 - 68*d - 2775*d**6 wrt d.
-333000*d**3
Let q = -93 + 95. Let x be 96/44 - q - (-60)/33. Differentiate -33*d**2 - 4 + 99*d**x - 53*d**2 with respect to d.
26*d
Let x be ((-1)/(-3))/((-11)/(-66)). Suppose 4*m = -s + 70, -2*s = 2*m - m - 21. Find the second derivative of -6*d**2 + 11*d**x - d**2 + m*d**2 + 16*d wrt d.
42
Let y = -31 - -33. Find the second derivative of 46*r**2 + 6*r**y - 2*r**2 - 21*r wrt r.
100
Let h(y) = -938*y + 5660. Let c be h(6). Let g(v) be the first derivative of -43*v - 1/2*v**2 - c. Differentiate g(z) wrt z.
-1
Suppose 5*u - 5*r = 3*u + 7, -5*u + 5*r + 10 = 0. What is the third derivative of 2*t**2 - 11*t**4 - t**5 + 10*t**4 - 8*t**4 - u wrt t?
-60*t**2 - 216*t
Let s be (-16)/7 - 16/(-56). Let u be (-8)/4 - -4 - s. What is the third derivative of 4*j**2 + u*j**2 - 6*j**5 - 10*j**5 + 0*j**5 wrt j?
-960*j**2
Let g(h) be the second derivative of 65*h**4/12 + 7*h**3/6 + 5058*h**2 + 20*h - 152. What is the derivative of g(i) wrt i?
130*i + 7
Let p(u) = -53*u**2 - 260*u + 9542. Let h(r) = -73*r**2 - 346*r + 12722. Let n(y) = -8*h(y) + 11*p(y). What is the first derivative of n(a) wrt a?
2*a - 92
Find the second derivative of 602*l**2 + l**3 + 11254*l - 1708*l + 1085 + 3027*l - 1085 wrt l.
6*l + 1204
What is the second derivative of 13028*s**3 - 6146*s**3 - 5362*s**3 - 672*s wrt s?
9120*s
Let u(w) be the third derivative of 23/60*w**6 + 0*w**4 + 0*w + 3/10*w**5 + 0 + 121*w**2 + 5/6*w**3. What is the third derivative of u(z) wrt z?
276
Let o = -86 - -101. What is the second derivative of -15*r**5 - r**2 - 68*r - 11*r**5 + o*r**5 wrt r?
-220*r**3 - 2
Let i(s) = 23*s**2 - 20*s - 1953. Let g(f) = 24*f**2 - 20*f - 1952. Let p(d) = 3*g(d) - 4*i(d). What is the first derivative of p(y) wrt y?
-40*y + 20
Let l(s) = -9161*s + 24786. Let k(c) = 3054*c - 8268. Let x(b) = 7*k(b) + 2*l(b). Find the first derivative of x(p) wrt p.
3056
Let i(m) be the first derivative of 4/5*m**5 - 99*m - 15/4*m**4 + 0*m**2 + 0*m**3 - 120. Differentiate i(b) with respect to b.
16*b**3 - 45*b**2
Let w(a) = 109*a**3 - 18*a - 648. Let b(v) = 219*v**3 - 29*v - 1296. Let o(t) = -4*b(t) + 7*w(t). Differentiate o(c) with respect to c.
-339*c**2 - 10
Suppose 3016 = 32*x - 3*x. What is the first derivative of -30 + n + 0*n + 4*n - x*n**4 - 125 - 3*n wrt n?
-416*n**3 + 2
Let q be (406/(-84))/(1/(-6)). What is the derivative of 20*j - j**4 - 4*j - 16*j - 1 - q*j**3 wrt j?
-4*j**3 - 87*j**2
Let p(y) be the second derivative of -144*y**3 + 41*y**3 - 14 + 3*y**2 - 3*y + 46*y**3 + 46*y**3. What is the first derivative of p(j) wrt j?
-66
Suppose -569 - 7 = -3*k. Find the first derivative of -43*q**3 - q - 89*q**3 - 83*q**3 + 41*q**3 - k wrt q.
-522*q**2 - 1
Let p(n) = 5393*n**2 - 1609*n + 2. Let t(g) = -26965*g**2 + 8086*g - 11. Let r(i) = 11*p(i) + 2*t(i). Find the second derivative of r(u) wrt u.
10786
Let o(f) be the second derivative of -837*f**5/10 + 481*f**4/4 + 1305*f. Find the third derivative of o(x) wrt x.
-10044
Suppose 3*i = -3*w + 30, -22 = -5*w + 5*i - 3*i. Suppose -9*m + 7*m = -w. Find the third derivative of 9*b**2 + 739 - m*b**3 - 739 wrt b.
-18
Find the third derivative of -86*x**2 - 58*x**2 - 120*x**2 + 82*x**2 - 70*x**2 - 2471*x**5 wrt x.
-148260*x**2
Suppose 6*c + 10 - 46 = 0. Suppose 133 + 53 = c*s. What is the third derivative of 335*w - 335*w + s*w**3 + 21*w**2 wrt w?
186
Let i(z) be the first derivative of 825*z**4/2 + 608*z**3 + 1595. Find the third derivative of i(v) wrt v.
9900
Find the first derivative of -543 - 340 + 105*m + 613*m wrt m.
718
What is the third derivative of 2747*h**3 - 1830*h**2 - h**6 - 81808*h**4 + 81808*h**4 wrt h?
-120*h**3 + 16482
Suppose -4*m - 23*x = -25*x - 18, -12 = -3*m + 3*x. Find the third derivative of 107*h**2 - 160*h**2 - 57*h**2 + 60*h**m - 55*h**2 + 3*h**5 wrt h.
3780*h**2
Let d(g) = -g**2 + 13*g - 8. Let c be d(11). Suppose 15*o - c*o = 2. What is the second derivative of 11*w**o + 1986 - 1986 - 6*w wrt w?
22
Let r(w) = w**3 - 479*w**2 + 22*w + 8. Let q(f) = f**3 - 2*f**2 + f. Let t(y) = -q(y) - r(y). Find the second derivative of t(b) wrt b.
-12*b + 962
Find the third derivative of -244*q**2 + 0*q**5 + 0*q**5 - 17359*q**6 + 20530*q**6 wrt q.
380520*q**3
Let b(j) be the second derivative of 0*j**5 - 76*j**2 + 1/6*j**6 + 0*j**3 - 13 + 5/12*j**4 + 4*j. Differentiate b(v) with respect to v.
20*v**3 + 10*v
Let u(s) be the third derivative of 121*s**7/21 - 313*s**5/30 - s**3/3 + 233*s**2 + 11. Find the third derivative of u(y) wrt y.
29040*y
Let m(v) = -15*v + 2. Let x be m(-2). Let h be (-54)/(-15)*(-190)/(-228). Find the second derivative of 3*u + x*u - 27*u**h - 10*u wrt u.
-162*u
Let k(p) = 96*p + 1271. Let i(x) = -478*x - 6343. Let q(d) = 4*i(d) + 22*k(d). Differentiate q(m) wrt m.
200
Let n = -156 - -159. What is the third derivative of 36*s**2 + 0*s**n - 14*s**2 - 3*s**3 + 10*s**2 wrt s?
-18
Let t(x) be the second derivative of 13/2*x**2 + 13/24*x**4 - 19 + 2*x - 8*x**3. Let y(a) be the first derivative of t(a). Differentiate y(h) with respect to h.
13
Find the third derivative of -o + 1483*o**2 - 100518*o**3 - 337*o**4 + 100518*o**3 wrt o.
-8088*o
Let a(f) be the first derivative of 81/4*f**4 + 2/5*f**5 + 0*f**2 - f + 72 - 1/3*f**3. Find the third derivative of a(w) wrt w.
48*w + 486
Let c(n) be the second derivative of 2 + 0*n**2 + 0*n**4 + 0*n**6 + 34/3*n**3 - 1/4*n**5 + 10*n + 1/42*n**7. Find the second derivative of c(g) wrt g.
20*g**3 - 30*g
Find the second derivative of -3752*p - 3*p**3 - 516*p + 2628*p**2 + 1718*p wrt p.
-18*p + 5256
Let d = -188 + 192. Find the first derivative of 1 + 20 + 22 - 38*q**d wrt q.
-152*q**3
What is the derivative of -298 - 3221*n - 158 - 193 - 284 wrt n?
-3221
Let m(t) = t**4 - t**2 - t + 3. Let f(y) = -5*y**4 + 420*y**3 + 6*y**2 + 6*y - 1408. Let l(u) = f(u) + 6*m(u). Find the first derivative of l(z) wrt z.
4*z**3 + 1260*z**2
Let a(v) be the third derivative of -108*v**4 - 2989*v**3/6 + 1173*v**2. What is the fir
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*p**2 - 430*p**2 + 3 + 244*p**2 - 3.
-190*p**2
Expand -2*z**3 + 7*z**4 + 2*z**3 + 15*z**4 - z**4 + 10*z**4 + (-2*z**2 + z**2 + 2*z**2)*(-2*z**2 - 1 + 1).
29*z**4
Expand h**5 + 2*h**5 - 4*h**5 + (h - 7*h - 2*h)*(0 + 0 - 7)*(h**4 + h**4 - 5*h**4).
-169*h**5
Expand ((5 - 4 + 0)*(-y + y - 2*y) + 4*y + 3 - 3)*(82 - 194 - 182).
-588*y
Expand -o + 60*o**2 - 7090 + 7090 + (0*o + 4*o - 5*o)*(o + 0 + 0).
59*o**2 - o
Expand (-2*a + 1 - 1)*(a - 2*a + 2*a) - 26 + 5*a**2 + 26 + (-3 + 0 + 1)*(0*a**2 + a**2 - 2*a**2) - 2*a**2 + 5*a**2 + 2*a**2.
10*a**2
Expand (4 - 25 + n - 14)*(3 - 3 + 3).
3*n - 105
Expand ((3*v - 2*v + 0*v)*(-1 - 2 + 2) + 3*v - 10*v + 6*v + 3 - 3 + v - 2)*(-5 - 3*v**2 - 3*v**2 + 4*v**2).
2*v**3 + 4*v**2 + 5*v + 10
Expand -3 + m + 1 + 4 + (4 - 2*m - 4)*(-1 + 0 - 1) + (0 - 1 + 5)*(-5*m + 3*m - m).
-7*m + 2
Expand (-o - 2*o + o)*(1 - 1 + 2*o)*(1154*o - 2835*o + 1034*o).
2588*o**3
Expand (1 + 1 - 4)*(-2 + 2 - 1)*(52 - 52 + 36*t).
72*t
Expand (-2*d - 1 + 1)*(-d + d - d)*(-d**2 + d**2 - 2*d**3) + (d**2 - d**2 + 2*d**4)*(19*d - 35*d - 17*d).
-70*d**5
Expand ((-3 + 4 + 1)*(-4*n + 2*n + 3*n) + 29 - 21 - 10 - 14*n)*(4*n - 6*n + 3*n).
-12*n**2 - 2*n
Expand (-3 - 1 + 2)*(-3 + 2 + 3)*(-29*j**2 + 29*j**2 + 8*j**4) - 4*j**4 + 460 - 460.
-36*j**4
Expand (46*p - 21*p - 8*p)*(-2 + p + 1 - 3*p).
-34*p**2 - 17*p
Expand (4 - 1 - 1)*(0*r**2 + 3*r**2 - 2*r**2) + 70*r**2 + 17*r**2 - 7*r**2.
82*r**2
Expand -7*q**4 + 7*q**4 + 6*q**5 + (4*q - q**2 - 4*q)*(-2*q**3 - q**2 + q**2) - 3*q**5 + 5*q**5 - 3*q**5 - 10*q**3 - 14*q**5 + 10*q**3.
-7*q**5
Expand (6*x**3 - 183*x**2 + 183*x**2)*(2 - 1 + 1)*(2*x + x - x).
24*x**4
Expand -4*n**3 + 2*n**3 + n**3 + (5 - 5 + 2)*(26*n**3 + 0*n**3 + 0*n**3).
51*n**3
Expand (3*n**2 + 0*n**2 + 0*n**2)*(22*n**2 + 13*n**2 + 55*n**2 + 0*n**2) + 2*n**4 - 3*n**4 + 0*n**4.
269*n**4
Expand (138*c + 165 - 165)*(-c**3 - c**2 + c**2) + (-3 + 3 + 3*c)*(2*c**3 - 3*c**3 + 3*c**3).
-132*c**4
Expand (0 - 17*l + 0)*(-l + 3*l - 3*l) - l**2 + 0 - 1 - 2.
16*l**2 - 3
Expand (-119 + 119 - 11*o)*(-4 + 0 - 4)*(2 + 3 - 6).
-88*o
Expand (6 + 3 - 2)*(4*l - 5*l + 3*l) + l - l + 3*l + (-3 - 2 + 6)*(-3*l + 5*l - 3*l) - 1 + 1 + 2*l.
18*l
Expand (0 + 6 - 5)*(-t + t - t**3) - 104*t**3 + 71*t**3 + 171*t**3 + (0 + 0 + 2*t)*(-4*t**2 + 0*t**2 + 2*t**2).
133*t**3
Expand (0 + 0 + 1)*(2*g**5 + 0*g + 0*g) + 2*g**4 - 2*g**4 - g**5 - 18*g**5 + 100*g**2 - 100*g**2 - 2*g**5 - 51*g**4 + 51*g**4.
-19*g**5
Expand (-92 - 323 + 33)*(1 - 4 + 4)*(-2*j + 1 - 1).
764*j
Expand ((-2 + 2 - 4)*(4 - 4 + 1) - 2 + 2 - 1)*(-2*u + 1 - 1)*(-58 + 11*u + 58) - u**2 - 2*u**2 + 5*u**2.
112*u**2
Expand (4*m**2 + 2 - 6*m**2 + m**2)*(29 + 3 + 2).
-34*m**2 + 68
Expand -40*p**2 + 40*p**2 - 16*p**3 - 2*p**3 - 3 + 3 + (-4*p**2 + 4 - 4)*(1 + 2*p + p - 4*p).
-14*p**3 - 4*p**2
Expand (l**3 + l**3 + 5*l**3)*(-9*l - l - 3*l + 32*l - 7*l).
84*l**4
Expand -11*m + 96*m**2 - m + 10*m + 5*m + 3*m**2 - 5*m + (-m**2 + 2 - 2)*(3 - 3 - 1) + 2*m**2 + 3 - 3.
102*m**2 - 2*m
Expand -16*v - 9*v + 23*v + (-3 + 2 - 2)*(-v + 0*v + 0*v) - 2 + 2 - 15*v.
-14*v
Expand (-2 - z + 2)*(4*z**2 + 7*z**2 + 4*z**2)*(2 + 3 + 6).
-165*z**3
Expand (-5*h + h + 3*h)*(227 + 256 - 531)*(h + h - h).
48*h**2
Expand (19 + 32*h - 21 - 2*h**3 - 36*h)*(-1 + 3 + 2)*(0 - 1 - 1).
16*h**3 + 32*h + 16
Expand -4 + 4 + n + (-4 - 3 + 6)*(3*n + 0*n - n) - 2*n + 4*n - 4 - 1.
n - 5
Expand (-o - 2*o + 2*o)*(-23 - 48 - 223).
294*o
Expand -2*v**5 - 3*v**5 + 3*v**5 + (4 - 4 - 2*v**3)*(2*v**2 + 2*v**2 - 3*v**2) - 1 + 1 - 2*v**5 - 21*v**3 - 10*v**5 + 6*v**5 + 3*v**5.
-7*v**5 - 21*v**3
Expand -p**3 + 69 + 2*p**3 - 76 + 76 + 13*p**3 - 76 + (-2*p**2 + 0 + 0)*(1 - 1 - p).
16*p**3 - 7
Expand (-o - 4*o + 4*o)*(6 - 3 - 1 + (4 - 1 - 1)*(-1 + 2 - 3) + 4 - 7 + 14)*(-3 + 7 - 2)*(1 - 3 + 3).
-18*o
Expand (-1 - 2 + 1)*(-1 + 0 + 3)*(0*w - 3*w + 2*w + (-7*w + 7*w - 11*w)*(3 - 10 + 3)).
-172*w
Expand (-5*u + 0*u + 3*u + (8 + 3 - 1)*(u + 3*u - 2*u))*(u**2 - u**2 - 4*u**4).
-72*u**5
Expand (4*t - t - 2*t)*(0 + 0 + t) + 2*t**2 - 3*t**2 + 2*t**2 + 168 - 168 + 508*t**2 + (t**2 + t**2 + 0*t**2)*(-2 + 0 + 1).
508*t**2
Expand (-131 + 65 + 21*w**2 + 65)*(2 - 2 + 1).
21*w**2 - 1
Expand (-2*t - 2 + 2)*(-1 - 2 + 1)*(2 - 17 + 10)*(4 - 2 + 0).
-40*t
Expand (-j**2 + 2 - 2)*(-j - 4 + 4) + 0*j**3 - 3*j**3 + 4*j**3 + (0*j**2 + 0*j**2 + 2*j**2)*(-16*j + 20*j + 9*j) - j**3 + 2*j - 2*j.
27*j**3
Expand (10*x - 1 + 1)*(-2*x + 5*x - 2*x + 6*x + 0*x - 3*x + 2*x + 2 - 2 + (1 - 2 + 3)*(x + x + 0*x))*(0*x + 0*x + x**3).
100*x**5
Expand (3*z - 4 + 4 - 2)*(-180*z**2 + 343*z**2 - 189*z**2).
-78*z**3 + 52*z**2
Expand (-109 + 47 - 62)*(2 - 2 - 2*h).
248*h
Expand (-4*b**2 + 2*b**2 + b**2)*(-2 + 1 - 1)*(-3*b + 3*b - b) + 7*b**3 - 8*b**3 - 3*b**3.
-6*b**3
Expand (2*p**3 + 4*p - 4*p)*(2*p + 0*p - p + (0 - 3 + 2)*(2*p - 1 + 1) - 24 + 8*p + 24) + (0*p**4 + p**4 + 0*p**4)*(7 - 4 - 4).
13*p**4
Expand (1 - 1 - 2*h + (11 - 6 + 5)*(2*h - 2*h + h))*(-1 - 3*h**2 + 1)*(3 - 3 - 3*h**2) + 2*h**5 + 6*h**5 + 2*h**5.
82*h**5
Expand (5*t**2 - t**2 - 3*t**2 + (-t**2 + 1 - 1)*(-24 - 28 + 35) + (2*t + 3*t - 3*t)*(4*t - t - 2*t))*(1 + 1 - 1).
20*t**2
Expand (-1769 + 1769 - 170*c)*(-2*c - 3 + 3).
340*c**2
Expand (v - 18 - 6*v + 7*v)*(-5 - 5 + 5).
-10*v + 90
Expand (-72 + 519 + 495 + 26)*(2*k + 3*k - 3*k).
1936*k
Expand 8 - 7*h**2 - 8 + (0 - 4 + 5)*(-h**2 + 0*h**2 + 2*h**2 + (0 + 2*h + 0)*(5*h - h + 5*h) - 3*h**2 + 4*h**2 + 0*h**2 - 3*h**2 + 0*h**2 + 2*h**2).
12*h**2
Expand (47*t**2 - 30 + 7 + 24)*(-t**2 - t**2 - t**2).
-141*t**4 - 3*t**2
Expand (-4*b + 3*b + 0*b)*(-187*b + 68*b + 88*b) - 6*b**2 + 2*b**2 + b**2 + 0*b**2 + 0*b**2 - b**2.
27*b**2
Expand 0*f**2 - 3*f**2 + 5*f**2 + (0*f - f + 2*f)*(-f - f + f) + (-4*f**2 + f**2 + 7*f**2)*(25 + 62 - 55).
129*f**2
Expand (0 + 1 + 1)*(-4*g**4 + 2*g**4 + 0*g**4) + 0 - g**4 + 0 + (0*g**2 + 3*g**2 + 0*g**2)*(-g - 3*g + 3*g)*(3 - 5 + 3)*(0 + g + 0).
-8*g**4
Expand (6 - 6 - 13*w**2 - w**2 + w**2 + 2*w**2 + 4*w**2 - 6*w**2 + 0*w**2 + (-2*w + w - w)*(1 - 1 + 2*w))*(-1 + 2 - 2).
17*w**2
Expand (-3*v**2 - v**2 + 5*v**2)*(-3*v + 0*v + v) + 6*v**3 - 3*v**3 - 2*v**3 - 7*v**3 - 4*v**3 + 2*v**3 + 5*v**3 - 4*v**3 + 0*v**3.
-9*v**3
Expand r**3 - 157*r**5 - 2*r**2 - 159*r**5 + 309*r**5 + (-2*r**4 + 0*r**4 - r**4)*(-r - r + 5*r).
-16*r**5 + r**3 - 2*r**2
Expand (25*r**3 + 20*r**3 + 21*r**3)*(r**2 - 3*r**2 + r**2).
-66*r**5
Expand (m**4 - m**4 + 2*m**4 + (4*m**2 - m**2 - 2*m**2)*(0*m**2 + 2*m**2 - m**2) + 2*m**4 + m**2 - m**2 + 15*m**4 - 5*m**4 + 2*m**4)*(9 - 3*m - 9).
-51*m**5
Expand (-4 + 3 + 3)*(-2*s + 4 - 4) + 0*s - 2*s - 2*s.
-8*s
Expand -2 + 2 - w**2 + (3 + w - 3)*(w - w + 2*w) - 41*w**2 - 51*w**2 - w**2.
-92*w**2
Expand (-l**4 + 2*l - 2*l)*(4 - 7 - 8) - 634*l + 634*l + 30*l**4.
41*l**4
Expand (106 - 214 + 218*t + 108)*(-t - 1 + 1).
-218*t**2
Expand 0*p + 4*p - 6*p + (8*p - 5*p - 7*p + (-3*p + 0*p + 2*p)*(-4 - 3 + 5) + 6*p - 3*p - 4*p)*(0 + 4 - 1) - 2 + 2 + p.
-10*p
Expand (-2 - 5 - 1)*((-2*a + a + 0*a)*(2 - 2 + 1) - 4 + 4 - a).
16*a
Expand (-3771*s - 61 - 59 + 120)*(0*s + 0*s - s).
3771*s**2
Expand (-1 + 1 + 2*h)*((0 - 3 + 4)*(0 + 3 - 2) + (8 - 4 - 5)*(2 + 0 + 0))*(4 - 4 - 4).
8*h
Expand (-10 - 14 + 19 - 2*r)*(19*r**3 + 19 - 19).
-38*r**4 - 95*r**3
Expand (-2 + 10 + 17)*(4*f**4 + 5*f**4 + 3*f**4).
300*f**4
Expand 17*x**4 - 69*x + 69*x + (2 - 2 - x)*(0*x**3 + x**3 + x**3) - 74*x**2 + 74*x**2 - 17*x**4.
-2*x**4
Expand (1 - 1 - 2*m)*(704*m**3 - 386*m**4 - 704*m**3).
772*m**5
Expand (-4 - 5 + 1)*(0*k - k + 2*k) + (6 + 1 - 3)*(-3*k + 4*k - 2*k)*(4 - 2 - 1) + 3*k - 8 + 8.
-9*k
Expand 4*q**2 + q**2 - 3*q**2 - 2*q**2 + 2*q**2 - 4*q**2 + (-2*q + q + 0*q)*(-5 + 5 + 4*q).
-6*q**2
Expand 1 - 1 - 3*s**5 + (-86*s + 203*s + 105*s - 1)*(3*s**3 + s**4 - 3*s**3).
219*s**5 - s**4
Expand (-4 + 2 - 4)*(r - r - r**4 + 0*r + r**4 + 0*r + (-r - r + 4*r)*(-4*r + 4*r - r**3) - 107*r**2 + 107*r**2 - 26*r**4).
168*r**4
Expand (2*u**2 - 4*u**2 + 4*u**2)*(-5*u**2 + 114*u**2 - 3*u**2) + (3*u - 2 + 2)*(0 + 0 - u**3).
209*u**4
Expand ((0*g - 4*g + 2*g)*(-3*g + 0*g + 5*g) - g**2 - g**2 + 0*g**2)*(-9*g**3 - 106*g**3 - 23*g**3).
828*g**5
Expand (3 - 4 + 3)*(-2 + 6 + 10)*(2 + 2*j - 2)*(-j**2 + 0*j**2 - j**2).
-112*j**3
Expand 2*h + 3*h - 3*h - 17*h + 15*h - 10*h + (5 - 5 - 3*h)*(-1 - 2 + 5) - 2 + 2 - 2*h.
-18*h
Expand (3 + 1 + 0)*(0 + n**3 + 0 + n
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 12*f**2 + v*f + 109 - 140*f = 0. Calculate f.
-2/3, 11
Let q(r) be the first derivative of 3/20*r**5 + 0*r**4 + 0*r + 30 + 3/4*r**2 - 3/4*r**3. Let q(n) = 0. Calculate n.
-2, 0, 1
Let b(q) be the second derivative of 27*q**4 + 48*q**3 + 32*q**2 - 2*q + 7. What is l in b(l) = 0?
-4/9
Let l be 10/45*-5*(-132)/5. Let o = -29 + l. Determine b, given that 0*b - 1/3*b**2 + o = 0.
-1, 1
Let b(z) = z**2 - 21*z - 18. Let q be b(22). Let g(j) be the second derivative of -2*j - 1/6*j**3 + 1/24*j**q + 0 + 0*j**2. Suppose g(w) = 0. What is w?
0, 2
Let c(b) be the first derivative of 4*b**3/15 - 46*b**2/5 - 40*b - 553. Find o such that c(o) = 0.
-2, 25
Let t(c) be the second derivative of c**7/945 - c**6/108 + 4*c**5/135 - c**4/27 - 21*c**2/2 + 13*c. Let a(r) be the first derivative of t(r). Factor a(d).
2*d*(d - 2)**2*(d - 1)/9
Suppose 78*y = 574 - 574. Suppose -1/5*c**4 - 1/5 + 0*c + 2/5*c**2 + y*c**3 = 0. What is c?
-1, 1
Suppose -7 = -3*r + 5. Solve 10*h**2 - 9*h**2 - h**5 + h**3 + 11*h**r + 0*h**3 - 12*h**4 = 0.
-1, 0, 1
Let j(c) = c**4 - c**3 + 4*c**2 + c - 5. Let u = -60 + 55. Let p(z) = -z**4 - 3*z**2 - 2*z + 6. Let n(s) = u*p(s) - 6*j(s). Let n(y) = 0. Calculate y.
0, 1, 4
Let a(n) be the first derivative of -n**3/2 + 189*n**2/4 + 533. Determine c, given that a(c) = 0.
0, 63
Let i(y) = -10*y**3 - 95*y + 5. Let m(x) = 3*x**3 + 47*x - 2. Let r(t) = -2*i(t) - 5*m(t). Factor r(s).
5*s*(s - 3)*(s + 3)
Let f = -161 - -147. Let g be (15/f)/(6/(-8)). Factor -8/7 + 16/7*s - g*s**2 + 2/7*s**3.
2*(s - 2)**2*(s - 1)/7
Let v = 1586 + -1586. Let b(d) be the second derivative of -1/130*d**5 + 1/39*d**3 + v + 0*d**4 - 3*d + 0*d**2. Factor b(k).
-2*k*(k - 1)*(k + 1)/13
Let m(f) = -f**3 - f**2 + 3. Let n(w) = 2*w**4 + 4*w**3 - 2*w**2 - 6. Let b(z) = -2*m(z) - n(z). Factor b(t).
-2*t**2*(t - 1)*(t + 2)
Factor 0*c + 20/3*c**3 - 58/3*c**2 + 0.
2*c**2*(10*c - 29)/3
Let a = -1001 + 1003. Suppose 2/5 - 1/5*v**3 + 3/5*v + 0*v**a = 0. What is v?
-1, 2
Suppose 0 = -4*p - 5*u - 9, 5*p - 15*u + 16*u = 15. Let y(c) be the first derivative of -p*c**2 + 2 + 8*c + 2/3*c**3. Factor y(l).
2*(l - 2)**2
Determine c, given that -2/7*c**3 - 2/7*c**2 + 2/7*c**5 + 0*c + 2/7*c**4 + 0 = 0.
-1, 0, 1
Let d = -10 - -15. Suppose 0 = -d*c + 2*x - 4, -6*c + 5*x - 10 = -3*c. Find y, given that 2*y - 31 + 27 + c*y**2 + 2*y**2 = 0.
-2, 1
Suppose -5*g = -4*h - 6, -5*g = 4*h - 6*g - 2. Suppose h = -o - c, 2*o - 2*c - 10 = -0*o. Factor 4*f**3 + 2*f - 11*f**2 - f**o + 6*f.
4*f*(f - 2)*(f - 1)
Let l(f) be the third derivative of 2*f**7/525 + f**6/10 - f**5/75 - f**4/2 - 80*f**2 + 2. Determine a, given that l(a) = 0.
-15, -1, 0, 1
Let k(q) be the third derivative of q**8/112 - 9*q**7/70 + 3*q**6/8 - 7*q**5/20 - 69*q**2. Factor k(j).
3*j**2*(j - 7)*(j - 1)**2
Let b(y) be the first derivative of -y**6/9 - 4*y**5/5 - 3*y**4/2 + 8*y**3/9 + 4*y**2 - 2. Suppose b(z) = 0. What is z?
-3, -2, 0, 1
Let d(k) be the third derivative of 1/15*k**5 + 0*k**3 + 1/60*k**6 + 0*k + 4*k**2 + 0 + 1/12*k**4. Factor d(s).
2*s*(s + 1)**2
Let g(n) = -n**4 + 6*n**3 - 20*n**2 + 24*n - 5. Let l(d) = 6*d**4 - 31*d**3 + 101*d**2 - 122*d + 24. Let z(s) = -33*g(s) - 6*l(s). Factor z(m).
-3*(m - 1)**3*(m + 7)
Let p(j) = -14*j**4 - 6*j**3 - 14*j**2 - 11*j. Let m(z) = -5*z**4 - 2*z**3 - 5*z**2 - 4*z. Let w(s) = -11*m(s) + 4*p(s). Let w(t) = 0. What is t?
-1, 0
Let -75*g + 185/2*g**2 - 50*g**3 + 10*g**4 + 45/2 = 0. Calculate g.
1, 3/2
Let d(q) be the third derivative of q**7/5040 + q**6/720 - q**4/36 - 6*q**3 - 16*q**2. Let n(u) be the first derivative of d(u). Suppose n(l) = 0. Calculate l.
-2, 1
Suppose -108*c**2 - 47*c**2 - 500*c + 33*c**3 - 45*c**2 + 207*c**3 + 4*c**5 - 56*c**4 = 0. What is c?
-1, 0, 5
Let w(q) be the first derivative of -15/2*q**2 + 17/3*q**3 - 14 - 2*q. Factor w(p).
(p - 1)*(17*p + 2)
Let u = 753/5173 + -2/739. Factor 2/7*q**3 + u*q**2 - 2/7*q - 1/7*q**4 + 0.
-q*(q - 2)*(q - 1)*(q + 1)/7
Let l be (-66)/(-15) - 91/65. Let d(n) be the first derivative of 2/3*n**l + 0*n - 6 - 1/2*n**4 + 0*n**2. Factor d(c).
-2*c**2*(c - 1)
Let w be (-6080)/880 + (2 - -5). Let y(b) be the first derivative of 0*b + w*b**2 - 7 + 1/11*b**3 + 1/44*b**4. Factor y(a).
a*(a + 1)*(a + 2)/11
Let j(y) = 19*y**3 + 17*y**2 - 43*y + 7. Let g(l) = -20*l**3 + 29*l + 7*l**3 - 26 - 11*l**2 + 15 + 6. Let q(s) = -7*g(s) - 5*j(s). Factor q(h).
-4*h*(h - 1)*(h + 3)
Let t(d) = d**2 + 2*d - 1. Let v be t(-2). Let o(p) = -4*p - 2. Let c be o(v). Factor -n**3 + n**5 + 3 + 1 - 8*n**2 + 3*n**4 + 0*n**c + n**2.
(n - 1)**2*(n + 1)*(n + 2)**2
Suppose 17 = -o + g, 7*g = -2*o + 2*g + 1. Let s = o - -17. Factor s*b**2 + b + b**5 + 6*b**4 - 11*b**2 + 2*b - 4*b**5.
-3*b*(b - 1)**3*(b + 1)
Let x(z) = 2*z + 163. Let b be x(0). Let c = b - 163. Factor -7/4*n**4 + 19/4*n**3 - 2*n**2 + c - n.
-n*(n - 2)*(n - 1)*(7*n + 2)/4
Let j(g) be the first derivative of g**6/450 - g**5/50 + g**4/15 + 26*g**3/3 - 11. Let c(k) be the third derivative of j(k). Determine l, given that c(l) = 0.
1, 2
Let d(m) be the second derivative of m**7/1470 - m**6/420 + m**4/84 - m**3/42 + 33*m**2/2 + 15*m. Let j(h) be the first derivative of d(h). Factor j(w).
(w - 1)**3*(w + 1)/7
Let r(x) be the third derivative of -x**9/3024 + x**7/210 - 19*x**3/6 + 3*x**2. Let i(a) be the first derivative of r(a). Factor i(l).
-l**3*(l - 2)*(l + 2)
Let c(q) be the first derivative of 2*q**5/15 + q**4/3 + 2*q**3/9 - 37. Solve c(r) = 0 for r.
-1, 0
Let n(c) be the second derivative of c**7/315 - c**6/180 - c**5/90 + c**4/36 + 29*c**2/2 - 3*c. Let h(m) be the first derivative of n(m). What is y in h(y) = 0?
-1, 0, 1
Let w(i) be the second derivative of 2/33*i**4 - 4/33*i**3 + 0 + 0*i**2 - 25*i - 1/110*i**5. Factor w(c).
-2*c*(c - 2)**2/11
Let r(n) = n + 1. Let x(d) = -d**2 - d - 25. Suppose -4*w - 6*u + u = 33, -3*w = -5*u - 19. Let y(l) = w*x(l) - 18*r(l). Factor y(m).
2*(m - 4)**2
Let l = 1832 - 5494/3. Suppose l + 2/3*o**4 + 0*o**3 - 4/3*o**2 + 0*o = 0. Calculate o.
-1, 1
Let s be ((-1031)/2 - 1)*6/3. Let r be -5 - s*7/35. Factor -32/5 - r*o**2 + 686/5*o**4 - 64*o - 784/5*o**3.
2*(o - 2)*(7*o + 2)**3/5
Let c be 6 + -10 + (-2)/2*-19. Factor 31*g - 9*g**2 - c - 15 - 82*g.
-3*(g + 5)*(3*g + 2)
Let q(n) be the second derivative of 1/160*n**5 + 1/24*n**4 + 0*n**3 + 0*n**2 + 7*n + 0. Factor q(r).
r**2*(r + 4)/8
Let b be ((-3)/6 + 0)*(-9 - -3). Let x(l) be the second derivative of l + 1/3*l**4 - 2*l**2 + 0 + 0*l**b. Determine f so that x(f) = 0.
-1, 1
Let d(n) be the second derivative of 3/2*n**2 + 3/20*n**5 - 6*n - 1/2*n**3 - 1/4*n**4 + 0. Suppose d(w) = 0. Calculate w.
-1, 1
Let u be 395/135 + (-6)/2. Let n = u + 20/27. Factor 1/3*i**2 + n*i**3 - 2/3*i - 1/3*i**4 + 0.
-i*(i - 2)*(i - 1)*(i + 1)/3
Let u(p) be the third derivative of -p**5/300 + 2*p**3/15 + 8*p**2. Find j, given that u(j) = 0.
-2, 2
Factor -20/3*k**2 + 0 + 1/3*k**4 - 1/3*k**3 + 0*k.
k**2*(k - 5)*(k + 4)/3
Let g(v) = -8*v**2 + 169*v - 2498. Let u(i) = 9*i**2 - 168*i + 2493. Let h(k) = -6*g(k) - 5*u(k). Factor h(r).
3*(r - 29)**2
Let f(k) be the third derivative of 9*k**6/8 + 47*k**5/10 + 53*k**4/8 + 2*k**3 - 67*k**2. Factor f(g).
3*(g + 1)**2*(45*g + 4)
Let k = -163 - -1469/9. Suppose -17*c = -8*c - 3*c. Let -k*f**2 + c - 2/3*f = 0. What is f?
-3, 0
Let y(n) = -n**2 + 2*n + 1. Let r be y(-4). Let o = r + 25. Factor 0*l**3 - 4/5*l**o + 0*l + 2/5 + 2/5*l**4.
2*(l - 1)**2*(l + 1)**2/5
Suppose -1 + 2 = -5*o - 2*k, 3*o + 2*k = -3. Let t be (-18)/(-45) + (26/10)/o. Factor -2*g**2 + 1/2*g**5 + 3*g**t - 2*g**4 + 0 + 1/2*g.
g*(g - 1)**4/2
Let r be ((-2850)/12)/25 - -11. Let -2*t - 1/2*t**4 + t**3 + r*t**2 - 2 = 0. Calculate t.
-1, 2
Let o(w) = -145*w + 147. Let s be o(1). Factor -2*z**3 - 3/2 + 1/2*z**4 + s*z + z**2.
(z - 3)*(z - 1)**2*(z + 1)/2
Let n(x) be the first derivative of -3*x**6/35 - 12*x**5/35 + 3*x**4/14 + 11*x + 14. Let p(k) be the first derivative of n(k). Solve p(b) = 0 for b.
-3, 0, 1/3
Let n(z) be the second derivative of -29*z + 0*z**3 + 0*z**2 - 5/36*z**4 - 7/24*z**5 - 5/36*z**6 + 0. Factor n(s).
-5*s**2*(s + 1)*(5*s + 2)/6
Let h(s) = -3*s + 51. Let a be h(16). Solve -8*r**3 - 4 - 24*r**2 - 2*r**3 - 18*r + 0*r**a = 0 for r.
-1, -2/5
Let y(l) = 2*l**5 - 2*l**3 + l**2 - l - 1. Let b(j) = 6*j**5 - 12*j**4 - 24*j**3 + 8*j**2 + 14*j + 4. Let h(q) =
|
{
"pile_set_name": "DM Mathematics"
}
|
when p(3) is divided by l?
10
Let b be (-24)/(-6) - (-26)/1. Let w = 38 - b. Calculate the remainder when 45 is divided by w.
5
Let q(o) = -3*o - 6. Let a be q(-4). Let w(d) = d - 2. Let h be w(a). Suppose b - 22 = h*c, -2*b - 2*c - 6 = -0*b. What is the remainder when 6 is divided by b?
0
Let l(a) = -a**2 - 16*a - 8. Let y = 20 - 36. Let t be l(y). Calculate the remainder when 40/(-16)*(t + 2) is divided by 9.
6
Let k(v) = -2*v**3 - 19*v**2 + 30*v - 5. What is the remainder when k(-11) is divided by 9?
1
Let s(k) = -36*k + 2310. Calculate the remainder when (-4)/10*55/(-1) is divided by s(64).
4
Let o = 1818 - 1781. What is the remainder when 219 is divided by o?
34
Let o(q) = q**3 + 8*q**2 + 6*q - 3. Let d be o(-5). Let r = d + -24. Let w = r - 9. Calculate the remainder when 25 is divided by w.
7
Let a(u) = 2*u**2 + 15*u. Let c be a(-10). Suppose -o = -1 - c. Suppose 0 = m - 3*m - b + o, -b = -m + 24. Calculate the remainder when m is divided by 7.
4
Let m(l) = l + 4. Let g be m(-13). Let y(d) = -d**3 - 8*d**2 + 6*d - 7. What is the remainder when y(g) is divided by 11?
9
Suppose 4*n - 80 = k - 3*k, -5*n - 5*k + 105 = 0. Suppose c - 2*v = -v - 42, -5*c = 2*v + 217. Let s = c - -53. What is the remainder when n is divided by s?
9
Let g be ((-78)/(-12))/(1/2). Let y = -13 + g. Suppose -z - 2*z + 48 = y. What is the remainder when 77 is divided by z?
13
Let b(q) = 9*q - 24. Let o(l) = 9*l - 1. Let a be 14/42 + (-2)/(-3). Calculate the remainder when b(6) is divided by o(a).
6
Suppose -79 - 17 = -8*f. Suppose 3*w - 80 = -2*p, 5*p = 3*w + 222 - 64. Calculate the remainder when p is divided by f.
10
Let c be 131 + 5/(-3 - 2). Let q = c + -92. Calculate the remainder when q is divided by 11.
5
Let v(i) = 6*i. Let g(h) = -h**2 + h - 1. Let o be g(0). Let y be v(o). What is the remainder when 65 is divided by (y/(-3) - 36)/(-2)?
14
Let o be (-55)/2*(5 + -7). Suppose 0 = q - o - 14. Calculate the remainder when q is divided by 14.
13
Let v = 244 + -207. Calculate the remainder when 132 is divided by v.
21
Let m(f) = f + 13. Let y be m(-11). Suppose y*o - 7 - 7 = 0. Let i = -182 - -184. Calculate the remainder when o is divided by i.
1
Let f = 41 - 93. Let b be 3/3 + 0 - f. Let g = 100 - b. What is the remainder when g is divided by 16?
15
Suppose 2*p = 4*d + 14 + 4, -4*p - d + 36 = 0. Suppose 8*k - 18 = p*k. What is the remainder when k*(4 + (-14)/3) is divided by 4?
0
What is the remainder when 52 is divided by 6/(-57) + 2321/209?
8
Let s(t) = -6*t + 1. Calculate the remainder when 188 is divided by s(-4).
13
Let l = 183 + -143. What is the remainder when 238 is divided by l?
38
Suppose 2*l + 0 = 8. Suppose -5*q + l*q + 24 = 0. What is the remainder when 138*((-7)/(126/(-96)) - 5) is divided by q?
22
Suppose 109*c - 83 = 26*c. What is the remainder when 1 is divided by c?
0
Suppose 1599 = 56*z - 15*z. Suppose 19 = 3*i - 4*p, 2*i + 4*p - 17 = i. What is the remainder when z is divided by i?
3
Calculate the remainder when 942*-9*8/(-108) is divided by 105.
103
Suppose 0 = -5*r + 3*m + 163, 4*r + 2*m = -2*m + 156. Suppose -b + r = 5*z, -b + 6*z - 1 = 2*z. Let c = -4 + 61. What is the remainder when c is divided by b?
12
Let b = -959 - -1201. What is the remainder when b is divided by 74?
20
Suppose -6*q + 365 = -223. What is the remainder when q is divided by 11?
10
Let b = 1811 + -1785. What is the remainder when 544 is divided by b?
24
Suppose 10*t + 78 = 4*t. Let q = 4 - 6. What is the remainder when 51 is divided by (-236)/t + q/13?
15
Suppose 6*r + 20 = 98. Let y(i) = 3*i - 32. Let q be y(r). Suppose 8*s - 20 = q*s. Calculate the remainder when 59 is divided by s.
19
Suppose -3*w + 54 = w - 2*s, 0 = 4*s + 4. Let b(k) = k**3 - 13*k**2 + 3*k - 10. Calculate the remainder when 84 is divided by b(w).
26
Calculate the remainder when 4956/(-8)*20/(-35) is divided by 21.
18
Let t(j) = j**2 + 5*j + 54*j**3 - 4 + 6*j - 7*j. Calculate the remainder when t(1) is divided by 8.
7
Suppose -2*l = 3*u - 25, 0 = -3*l + 3*u + 13 + 17. Let g(v) = -35*v + 30. Calculate the remainder when g(0) is divided by l.
8
Suppose 0 = 4*j - 4, -j - 80 = -2*y - 3*j. Let d = -6 - -27. What is the remainder when y is divided by d?
18
Let c(t) = 5*t**2 + 2*t. Let v(q) = q. Let j(u) = 2*c(u) - 4*v(u). What is the remainder when 59 is divided by j(-1)?
9
Let z(n) = -2*n**2 + 6*n + 41. Calculate the remainder when (1 - 7)/(4/(-50)) is divided by z(0).
34
Suppose 4*s - 4*l = 71 + 37, 2*l = -3*s + 71. Suppose 8*q - s = 63. Calculate the remainder when 21 is divided by q.
10
Suppose 1 = -4*p + 13. Suppose 0 = -5*b + p*b - 48. Let f = b - -34. Calculate the remainder when 19 is divided by f.
9
Let c be (-2)/(-3)*(-75)/10. Let y be 10 + -1 + 10/c. Let u(z) = 2*z - 8. What is the remainder when 10 is divided by u(y)?
4
Let k = -27 + 91. Let d = k + -41. Calculate the remainder when 68 is divided by d.
22
Let d = 10 + -10. Let n be (2/(-1))/(-1 - d). Let f(c) = 4*c**2 - c - 2. Calculate the remainder when 33 is divided by f(n).
9
Suppose -g + 180 = -3*g. What is the remainder when 20/g + (-922)/(-18) is divided by (1*3)/(704/(-104) + 7)?
12
Let m = 24 + -10. Suppose 35 + 85 = 3*h. Calculate the remainder when h is divided by m.
12
Let y = -176 - -177. What is the remainder when 1 is divided by y?
0
Suppose 3*l = 2*l. Suppose x + x - 3*r - 47 = 0, l = 4*r + 20. Suppose 0 = x*d - 11*d - 255. Calculate the remainder when d is divided by 13.
12
Let a = -19 - -32. Let t = 580 - 220. Suppose 0 = -42*m + 32*m + t. Calculate the remainder when m is divided by a.
10
Let c be (-342)/(-30) - 3*(-2)/(-15). Suppose 3*z = 28 + c. Suppose 0*q - 8 = -2*q. What is the remainder when z is divided by q?
1
Let m(d) = -2*d - 6. Let c be m(0). What is the remainder when 48 is divided by 2 - (2 + -1) - c?
6
Suppose -5*o = -2*z + 19, -5*o + 29 + 0 = 2*z. Calculate the remainder when 43 is divided by z.
7
Let t(f) = 15*f**2 + 44*f + 109. What is the remainder when 1005 is divided by t(-3)?
109
Let n = -45 + 15. What is the remainder when 21 is divided by (-4)/5*n/4?
3
Suppose 748 = 5*f + 538. Calculate the remainder when 67 is divided by f.
25
Suppose 3*b - 30 = -3*z - 0*b, z = 3*b + 26. Let f = -29 + 17. What is the remainder when 0 - 7/(z/f) is divided by 4?
2
Let z(d) = d**3 + 5*d**2 - 5*d - 2. Let y be z(-5). Let r = 334 + -305. Suppose 2*w = r + y. What is the remainder when 50 is divided by w?
24
Suppose -12*g = -13*g + 37. Suppose 4*j - 601 = -5*v, 2*v = 5*j + v - 715. What is the remainder when j is divided by g?
33
Let b = -403 - -466. What is the remainder when 376 is divided by b?
61
Let s(x) = -6*x + 1. Calculate the remainder when 103 is divided by s(-6).
29
Let u(n) = -n**2 - 19*n - 81. What is the remainder when 43 is divided by u(-9)?
7
Suppose 4*o - 20 = -u + 233, 3*o + 5*u - 211 = 0. What is the remainder when o is divided by 23?
16
Suppose 0 = 5*o + r - 98 - 5, -5*r = -4*o + 65. Let p = o + 5. What is the remainder when 99 is divided by p?
24
Suppose -4*p = 3*m + 36, -5*p + 4*m + 10 = -4*p. Let g(o) = -2*o + 5. Let h(s) = 1. Let i(z) = g(z) - h(z). Calculate the remainder when 29 is divided by i(p).
13
Let d be -5 - (0 - -2)*-1 - -1011. Suppose 12*x = -6*x + d. What is the remainder when x is divided by 29?
27
Suppose -11*c = 246 - 1951. Calculate the remainder when c is divided by 16.
11
Let t = -98 + 125. What is the remainder when t is divided by 3/((-3)/4) - -9?
2
Suppose -4*f - 28 = 116. Let c = 67 + f. Calculate the remainder when c is divided by 16.
15
Let q be (13 + -1)*(-4)/6. Let y = 18 + q. What is the remainder when 17 is divided by y?
7
Let c be 10/(-20) + (-10)/(-4). Let o be (-3)/c*(-10)/3. Suppose o*g = -i + 34, -5*i + 116 = -2*g + 27. What is the remainder when 54 is divided by i?
16
Let v(a) = 32*a + 76. Calculate the remainder when v(4) is divided by 69.
66
Let g(y) be the first derivative of 2*y**3/3 - y**2 - 15*y + 20. Calculate the remainder when g(4) is divided by 3.
0
Let r(l) = 4*l**3 - 28*l**2 + 3*l + 7. Let f = -3 - -6. Suppose f*z + z - 44 = 0. What is the remainder when r(7) is divided by z?
6
Let d(m) = m**2 - 2*m - 3. Let t be d(-2). Suppose -3*u + 283 = -0*u - 2*p, -t*u + 5*p + 470 = 0. What is the remainder when u is divided by 32?
31
Let x(y) = -2*y - 2. Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
12, -2/11, 1, 5, 33?
33
What is the biggest value in -1.19, -0.3, 1/3?
1/3
Which is the second biggest value? (a) 2/5 (b) 1 (c) -3/5 (d) 12 (e) -27
b
Which is the second smallest value? (a) -3 (b) 0.2 (c) 1046
b
Which is the second smallest value? (a) 184 (b) 1/3 (c) -0.3
b
Which is the third smallest value? (a) 0.2 (b) 4 (c) -25
b
What is the biggest value in 1, 2, -2/27?
2
What is the second smallest value in -2/13, -49, 4, -3?
-3
Which is the second smallest value? (a) -0.08 (b) 2/11 (c) 3.1
b
Which is the fourth smallest value? (a) 2 (b) -246 (c) 3/2 (d) -0.3 (e) -2/17
c
What is the biggest value in -2, -0.02, 3, 0?
3
Which is the fifth smallest value? (a) -0.4 (b) -1/6 (c) 7 (d) 0.6 (e) -5
c
What is the second biggest value in 1, -4/9, -10, 0.2?
0.2
Which is the biggest value? (a) -2.2 (b) 5 (c) 2 (d) -0.1 (e) -1/2
b
What is the third smallest value in -6.4, -0.3, -0.5, -0.2?
-0.3
What is the second biggest value in -1/2, 1/2, 455?
1/2
Which is the smallest value? (a) -4 (b) -1/6 (c) 1526
a
Which is the fourth biggest value? (a) -5 (b) -8 (c) 4 (d) 0
b
What is the biggest value in 2/7, 1/1754, 1/7?
2/7
What is the third biggest value in -0.5, -5, -75/7?
-75/7
Which is the biggest value? (a) 3/5 (b) 3.3 (c) 0.5
b
What is the third smallest value in 1.5, 3, -1, 0.3?
1.5
Which is the third biggest value? (a) -84 (b) -2/13 (c) 4 (d) 2
b
Which is the third biggest value? (a) -0.5 (b) 31 (c) 16 (d) 0
d
Which is the fourth biggest value? (a) 50/7 (b) -0.5 (c) -4 (d) 1/5 (e) 0
b
Which is the second smallest value? (a) -7 (b) -5 (c) -3 (d) 0.02 (e) 1
b
What is the third biggest value in -4, -0.4, -2, -0.5, -63/17?
-2
What is the biggest value in -4, 2.4, 2/9, 17?
17
What is the fourth biggest value in 5, 3, 0.2, 2/11?
2/11
What is the second biggest value in 5, -2, -0.5, -1?
-0.5
Which is the second smallest value? (a) 0.4 (b) 0.08 (c) 0 (d) 2/21 (e) 0.3
b
Which is the smallest value? (a) -12 (b) 4 (c) -1/2 (d) 1
a
What is the third biggest value in 0.1, -0.3, 2?
-0.3
Which is the third biggest value? (a) -94 (b) 2 (c) -32
a
Which is the biggest value? (a) -4/11 (b) -4 (c) 4
c
What is the biggest value in -566, 0.4, 2/11?
0.4
What is the second biggest value in -3, -0.146, 2?
-0.146
Which is the second smallest value? (a) -167 (b) 7/5 (c) 4 (d) 1
d
What is the fifth smallest value in 5, 1/17, -1/8, -0.2, -2/13?
5
Which is the fifth smallest value? (a) 7 (b) -1 (c) 3 (d) 2/9 (e) -3
a
What is the second biggest value in -1/5, 2/3, -480?
-1/5
What is the fifth biggest value in -4, 5/6, -3, 14, 2?
-4
Which is the third biggest value? (a) -1 (b) 1/4 (c) -2262
c
What is the second biggest value in 22/7, -0.3, -2, 0.2?
0.2
Which is the fourth biggest value? (a) 0 (b) 4 (c) -0.4 (d) -8
d
What is the smallest value in 4/3, -2, -3/7, -5?
-5
What is the fourth smallest value in -0.02, 4, -2, -1/6?
4
Which is the fourth biggest value? (a) 18 (b) -2/47 (c) -2/5 (d) -2/15
c
What is the second biggest value in -0.01, 2/11, -0.1?
-0.01
Which is the third biggest value? (a) 1 (b) 0 (c) 4 (d) -0.01269
b
Which is the second smallest value? (a) -2 (b) -3951 (c) 3
a
What is the second biggest value in -6/11, -35/187, -0.4, 0.3?
-35/187
Which is the third biggest value? (a) -3 (b) 2/5 (c) -0.04
a
What is the third biggest value in 0.1, 0.6, -0.4, -1?
-0.4
What is the third smallest value in -0.1, 11, 5, 4?
5
Which is the second smallest value? (a) 2.7 (b) 2 (c) -10
b
Which is the third smallest value? (a) 17 (b) 3 (c) 0.3
a
What is the second biggest value in -3, -1/4, 0.1, -0.1?
-0.1
Which is the smallest value? (a) 43/2 (b) -3 (c) 0
b
What is the fifth smallest value in 2/29, -2/7, 2/7, -1/3, 0.2?
2/7
What is the biggest value in -3, -0.3, 2/9, 1/4, 5?
5
Which is the third smallest value? (a) 0.2 (b) -2/9 (c) 1573
c
Which is the third smallest value? (a) -546 (b) -3/10 (c) 1
c
Which is the smallest value? (a) 15 (b) 1 (c) -9 (d) 5
c
What is the third smallest value in -2/9, -0.5, 1/5?
1/5
What is the biggest value in 5, -5, -3/7, 331?
331
What is the second biggest value in 0.028, -0.16, -4?
-0.16
What is the third biggest value in 6, -9, -0.04, -0.3?
-0.3
What is the third biggest value in -4, 9, -0.3, 2/17?
-0.3
Which is the fourth biggest value? (a) 2/17 (b) -54 (c) 3 (d) -5 (e) 0
d
Which is the third smallest value? (a) 29 (b) 2 (c) -0.3 (d) 3/4
b
Which is the third smallest value? (a) 1 (b) 10.9 (c) -1/3
b
Which is the biggest value? (a) 110 (b) -2/13 (c) 46
a
What is the third biggest value in -0.1, 5, 2/75?
-0.1
Which is the fourth biggest value? (a) 1 (b) -24 (c) -2 (d) -0.01
b
What is the third biggest value in -0.1, 5, -134?
-134
What is the smallest value in 3/5, 0.4, -0.8?
-0.8
Which is the second smallest value? (a) -5 (b) -1 (c) -150 (d) -1/8
a
What is the third biggest value in 3, -4, 2, 3/5, 1/3?
3/5
What is the second smallest value in 0.05, 0.264, -0.4?
0.05
Which is the second biggest value? (a) -2/19 (b) 1/10 (c) -36
a
What is the fourth biggest value in 2/35, 5, 0.4, 29, -1?
2/35
Which is the biggest value? (a) 2/397 (b) -0.2 (c) 2/5 (d) -1 (e) -2/11
c
What is the third smallest value in 0, 1/4, 0.342?
0.342
What is the fifth biggest value in 2/9, -2/3, -1/5, 2.9, 3/2?
-2/3
Which is the second biggest value? (a) 3/4 (b) -4 (c) 721 (d) -1/2
a
Which is the second smallest value? (a) 1 (b) -0.5 (c) 2/5 (d) -2 (e) -0.1
b
What is the third biggest value in 1/11, 4/7, 0?
0
What is the second smallest value in 2/11, -0.2, -0.19, 2/5, 2/7?
-0.19
Which is the third biggest value? (a) 1/3 (b) -5 (c) 0.02 (d) 0.03
c
Which is the biggest value? (a) 6/679 (b) -0.4 (c) 0.1
c
Which is the third smallest value? (a) -4 (b) 1 (c) 1/24 (d) 0.5 (e) -5/3
c
What is the biggest value in 474, 0, 2/13?
474
Which is the smallest value? (a) 0.5 (b) 2 (c) -46
c
Which is the fourth smallest value? (a) 5 (b) 0.2 (c) -17 (d) -1/3
a
Which is the third smallest value? (a) -5 (b) 1/4 (c) 403
c
Which is the smallest value? (a) 9 (b) -5/3 (c) -4 (d) -0.06
c
What is the smallest value in 4, 0.5, -174, 0?
-174
Which is the second smallest value? (a) -0.4 (b) -1503 (c) 4/7 (d) 0.3
a
What is the fourth biggest value in -2/9, 3, 18, -4?
-4
Which is the second biggest value? (a) 0.1 (b) 6.3 (c) -3
a
Which is the second smallest value? (a) 72 (b) 4 (c) -0.3
b
What is the smallest value in -37, 1/2, 4, -3?
-37
Which is the third biggest value? (a) 0 (b) 1/7 (c) -2 (d) -3 (e) 0.4
a
Which is the third biggest value? (a) 1/6 (b) 0.04 (c) -2 (d) -0.23
d
What is the second smallest value in -0.5, -3/2, 3, -44?
-3/2
Which is the third biggest value? (a) -0.13 (b) 5 (c) 2 (d) -37 (e) 0.5
e
What is the fourth biggest value in 4, 306, 3, 1?
1
What is the third biggest value in -1, 5/2, 16?
-1
Which is the second smallest value? (a) 5 (b) -17000 (c) 1
c
Which is the second smallest value? (a) 5 (b) 0.48 (c) 1/5 (d) 2
b
Which is the smallest value? (a) 5 (b) 3 (c) 3/5 (d) -1/6
d
What is the third biggest value in -1/7, -23, -3/2, -4?
-4
Which is the second smallest value? (a) -1/2 (b) 2302 (c) 4
c
What is the biggest value in 2/7, -3, -1?
2/7
What is the third biggest value in 294, 2/7, 1, 0.3?
0.3
What is the third smallest value in 7, 0.1, -2, 5?
5
What is the fourth smallest value in -3/7, -3/4, -4, -3, -5?
-3/4
What is the third smallest value in -1, 1, -8.2?
1
Which is the biggest value? (a) -3/10 (b) -2/79 (c) 4
c
Which is the third biggest value? (a) 0.4 (b) -4/149 (c) -0.5 (d) -0.3
d
What is the biggest value in -2/3, 364, 2/9, 1/5?
364
Which is the third smallest value? (a) 1/3 (b) -282 (c) -2/3
a
What is the second smallest value in 1/3, 0, 0.8?
1/3
Which is the smallest value? (a) -61/5 (b) -1/9 (c) 2/11
a
Which is the third smallest value? (a) -2/37 (b) -4 (c) 4/9
c
Which is the second smallest value? (a) -3 (b) 3 (c) -2/5 (d) 48 (e) -0.5
e
What is the smallest value in 121, 46, -0.2?
-0.2
Which is the third biggest value? (a) -5 (b) 1 (c) 0.1 (d) -0.25
d
Which is the third smallest value? (a) 2/11 (b) -1/2 (c) -81.5 (d) -0.3 (e)
|
{
"pile_set_name": "DM Mathematics"
}
|
3, 5?
2/9
Let q = -19 - -22. Which is the biggest value? (a) -2/5 (b) q (c) 0 (d) -4
b
Let x be -1 + (33/10 - 3). Let v = x + 19/20. What is the third biggest value in v, -5, -4?
-5
Let c = -0.24 + 0.44. What is the smallest value in -0.3, c, -5?
-5
Let d = 30449/75 + -406. Let l = d - -377/150. Which is the smallest value? (a) 1/7 (b) -1/3 (c) l
b
Suppose -143 = 4*u + k - 2*k, 0 = 5*k + 5. Let l be u/(-40) - 2/5. Which is the third biggest value? (a) 4 (b) l (c) 2
b
Let z = 25/36 - 4/9. What is the third biggest value in -5/4, z, 0.3, -0.01?
-0.01
Let h(m) be the first derivative of m**2/2 + 5*m + 3. Let a be h(-7). What is the third biggest value in -5, a, 3/4?
-5
Let o = -8 - -5. What is the second smallest value in -3/2, 0.1, o?
-3/2
Let m = 97/126 - -4/63. Which is the second biggest value? (a) m (b) 2 (c) 2/9 (d) 1/6
a
Suppose 3*x + x - 22 = -2*u, -5*x + 3*u + 11 = 0. What is the second smallest value in x, -0.1, 3?
3
Suppose -1 + 7 = z. Suppose 0 = 5*k + z - 16. Which is the smallest value? (a) 4/5 (b) k (c) 0.1
c
Let g be (-15)/(-50)*(-2)/(-6). Let h = g + 3/20. Which is the second biggest value? (a) -5 (b) 0.3 (c) h
c
Let v = 10 - 9.9. Let m = 4.1 - v. Which is the second smallest value? (a) 8 (b) 5 (c) m
b
Let b = 0.37 - 0.67. What is the third biggest value in b, -2, 1/3?
-2
Let n = 0.1 + -0.6. Suppose -2 = -r + 2. Let f = -29 + 119/4. Which is the second smallest value? (a) n (b) f (c) r
b
Suppose -2*x + 3 = -3. Let g = -5.1 + 5.3. What is the second biggest value in 4, x, g?
x
Let o = 7 - 10. Let c be 12/(-4) + 10 - 3. What is the second smallest value in o, c, -1?
-1
Let w = -12 - -7. Let t = 5.4 + w. What is the smallest value in 0.3, -4, t?
-4
Let k = 99/4 + -685/28. Which is the second smallest value? (a) 0.4 (b) k (c) 4/9
a
Suppose -2*p = 5*r - 31, -3*p - 4*r + 32 = p. Let a be 1*p*2/12. What is the second smallest value in -0.5, a, -1?
-0.5
Let f = -0.059 - -4.059. Suppose 0*m - 5*m = -3*d + 3, 17 = -3*m - 2*d. What is the second biggest value in 2, m, f?
2
Let m be (3 - 5917)*(-1)/22. Let k = m + -269. Let z = 200/11 + -18. What is the second biggest value in z, -2/3, k?
k
Let o = 4/49 + 29/245. Let f = 15 - 10. What is the third smallest value in 6, f, o?
6
Let y = -86.9 + 87. Which is the fourth biggest value? (a) 0.05 (b) 2/17 (c) y (d) -3
d
Let m = 5551/12 - 463. Let w = m + -1/12. Which is the second smallest value? (a) -1/5 (b) w (c) 2
a
Let p = -65 + 63. Which is the fourth biggest value? (a) 0 (b) 2 (c) -4 (d) p
c
Let o be ((-2)/3)/(6/3). Which is the biggest value? (a) 3 (b) 5 (c) o
b
Let a = -147/5 + 30. Let w = 5.031 - 0.031. What is the second smallest value in -3, a, w?
a
Let s be 2*(32/28 - 1). Let m = -1 + 0. What is the smallest value in -2, m, s?
-2
Let p = -4/107 - 170/1177. Which is the third biggest value? (a) 3/4 (b) p (c) 0.4
b
Let m = -6.7 - -1.8. Let p = 0.1 - m. Let f = 1 - p. Which is the biggest value? (a) f (b) -3/5 (c) -5
b
Let w be (-2)/((-1 - -6)*1). Let m(i) = -i**3 + 2*i**2 + 4. Let y be m(3). Which is the third biggest value? (a) y (b) w (c) 1
a
Let f = 0.6 - -2.4. Which is the smallest value? (a) 0.1 (b) -1/6 (c) f
b
Let v = 101 + -100.1. Which is the third biggest value? (a) v (b) -1 (c) 3
b
Let w(v) be the second derivative of 3*v**5/20 + v**3/3 - v**2/2 + 4*v. Let l be w(1). Which is the smallest value? (a) 3 (b) -1/5 (c) l
b
Let y = 14 - 9. Let q = -5.4 + 5. Let x = -0.02 - 0.48. Which is the third biggest value? (a) q (b) y (c) x
c
Let z = 6.6 - -0.4. Let k = 6.17 + -0.17. Let q = z - k. Which is the third biggest value? (a) -1/2 (b) -0.3 (c) q
a
Let k = -10094041/16318 - -25423/41. Let n = 2/199 + k. Let f be 10/16 - (-1)/(-4). Which is the second smallest value? (a) f (b) n (c) 1
c
Let k = 38/5 + -109/15. Which is the third smallest value? (a) k (b) 0.3 (c) 0.5
c
Let d be -2 - (-5 - 3) - 4. Which is the biggest value? (a) 1/2 (b) d (c) 2/5
b
Let z = 5.23 - 5. Let l = z + 0.67. Let q = 1.2 - l. What is the second biggest value in -5, q, -2/9?
-2/9
Let t = -3.37 - -0.37. What is the biggest value in t, -0.4, 0.5?
0.5
Let p = 8.22 - 8. Let l = p + 0.08. Let k be 2 - (2 + 4/6). What is the second biggest value in l, 0.1, k?
0.1
Let u(w) = -w**2 + 5. Let z be u(0). Let x be z/12 + 2/(-3). Let p = 115 + -350/3. Which is the second smallest value? (a) p (b) x (c) 0.4
b
Let i = -3.04 + 0.04. Let o = 0.97 - -0.13. Let s = 0.1 - o. Which is the third biggest value? (a) s (b) -2/7 (c) i
c
Let t = -0.48 + 0.18. Which is the second smallest value? (a) 2/5 (b) t (c) 4/7 (d) -0.5
b
Let y = -5 + -6. Let i = y + 16. Which is the second biggest value? (a) i (b) 2/3 (c) -4
b
Suppose 5*f = 3*w - 46, -3*w - 12 = 2*f - 2. Let a = -11 - f. Let p = 2 + -1.7. What is the second biggest value in p, 0.5, a?
p
Let y = -2.5 - -2.9. Let u = -0.1 - -3.1. Which is the biggest value? (a) -2/11 (b) u (c) y
b
Let h(b) = b**2 - b - 2. Let d be h(-2). Suppose -o - o = -d. Let u be -2*(42/20 - o). What is the biggest value in 3, 1/4, u?
3
Let u = -6 + 5.8. Let f = -1 - -0.9. Let s be 0 - (3/2 + 0). Which is the second biggest value? (a) s (b) u (c) f
b
Let z = -1.6 + 1. What is the third biggest value in -4, 0.6, z?
-4
Let g be (6/(-8))/(((-135)/24)/(-5)). Which is the third smallest value? (a) 0 (b) 0.1 (c) 4 (d) g
b
Let r = 3/61 - -223/427. Which is the second smallest value? (a) r (b) -0.1 (c) 6 (d) 3
a
Let k = -0.74 - -0.18. Let u = k + 0.06. What is the third smallest value in 2/9, u, 0.4?
0.4
Let f = -0.03 + 2.03. Let m = f - 1.98. Let t = -1.98 - m. What is the biggest value in 2, t, 3?
3
Let z = -27 - -25. Let m = 2.6 - 3. Which is the biggest value? (a) m (b) 1/5 (c) z
b
Let i be (-1)/(-3)*(1 - 0). Let h = -13 - -17. Let d = 4.3 - h. What is the smallest value in i, d, 0?
0
Let t = -18 - -12. Suppose 0 = 3*z - 0*z - 15. Which is the smallest value? (a) z (b) -2 (c) t
c
Let h = 3.68 - 0.68. Let g = -5.3 + 5. What is the third biggest value in 0.5, h, g?
g
Suppose 6*s - 24 = 4*s. Let n be 0*-2*(-3)/s. Let r be 2 + n/1 - 1. What is the third smallest value in 3, r, -1/3?
3
Let i = 32 + -25. What is the third biggest value in -0.2, i, 0?
-0.2
Let h = 0.33 - -3.67. Which is the second smallest value? (a) -0.5 (b) h (c) -1/4 (d) 1/7
c
Let q = -18 + 10. Let v = 14 + q. Which is the second biggest value? (a) v (b) 5 (c) 0.5
b
Let l = -16 + 31/2. Let t = 4 - 3. Let v = t + -1.2. Which is the biggest value? (a) v (b) -2/11 (c) l
b
Let n = 3.3 + -0.3. Let j = -1.1 - -0.1. Which is the third smallest value? (a) j (b) -4 (c) n
c
Let h = 0 + 2. Let z(s) = s**2 - 6*s + 4. Let y be z(6). Let f = 3 - y. What is the smallest value in h, 0.3, f?
f
Let y = -0.064 - 4.956. Let w = 0.02 + y. Which is the smallest value? (a) w (b) 0 (c) 0.2
a
Suppose c - 10 = -c. Suppose c*j + 28 = j. What is the biggest value in 1/3, j, 1/7?
1/3
Suppose 4*u = 8*u - 3*g + 13, u + 5*g - 14 = 0. Let b(z) = z + 9. Let d be b(-4). What is the second smallest value in 0.04, d, u?
0.04
Let b = 9.8 - 10. What is the second smallest value in 11, -3/4, b?
b
Let v = -14.9 + 15. Let f = v - -0.4. Which is the third smallest value? (a) -0.2 (b) f (c) -5
b
Let f = -5.5 + 2.5. What is the third smallest value in f, -27, -3/7?
-3/7
Let w = 0.3 - 3.3. Which is the third smallest value? (a) -5 (b) 6/7 (c) w
b
Let y = 8 - 13. Let j = 8 + y. Which is the smallest value? (a) -3 (b) -0.3 (c) j
a
Let y = -1.94 - -1.44. Which is the second smallest value? (a) y (b) 4 (c) -2/5
c
Let v = 9.5 + -10. Which is the second biggest value? (a) -10 (b) 3 (c) v
c
Let w = 0.2 + 0.8. Let n = 0 + 0.2. Let z = -97 - -101. What is the third biggest value in n, z, w?
n
Suppose 0 = -6*f + 2*f - 32. Let o be ((-6)/9)/(f/6). What is the third biggest value in 5, 3, o?
o
Let n = -1137042 - -303590576/267. Let c = n + -2/89. What is the second smallest value in 0.4, -8, c?
0.4
Let i be (32/(-40))/(9/(-5)). What is the smallest value in -3, i, 0?
-3
Let p = -20 + 81/4. Let f = -2.02 - -0.02. Let d = -3 + 2.9. Which is the smallest value? (a) d (b) p (c) f
c
Suppose s - 67 = -m, -3*s + 207 = 4*m + 11. Let h be (-6)/s*(-3)/2. What is the third smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
c*c**(-2/19)*c**11 assuming c is positive.
c**(-4039/285)
Simplify ((d/(d*d**(-15))*d*d*(d*d**(-9)*d)/d)**(-12/17))**(2/85) assuming d is positive.
d**(-216/1445)
Simplify (l**(1/3)*l/l**(-1/24))/(l/(l*l**(-2/5)/l))**(3/2) assuming l is positive.
l**(-29/40)
Simplify (i*i*i/(i*i**(21/2)*i)*i*i/(((i**17/i)/i)/i)*i)/(i**4/(i/i**(-13))) assuming i is positive.
i**(-21/2)
Simplify (d*d*d/(d/(d/d**(2/7))*d*d))**(-3/11)*d**(1/3)*d*d/(d**1/d) assuming d is positive.
d**(494/231)
Simplify ((s*s*(((s*s*s**(2/5)/s)/s*s)/s)/s)**37*((s*s**0*s)/s)**(-1/52))**(-9) assuming s is positive.
s**(-121167/260)
Simplify y**(2/25)/(y**5/y)*((y*y/y**13)/y)/y*y**(7/2) assuming y is positive.
y**(-671/50)
Simplify (y/(y/y**9))**(-14)/(y**(-5/2))**(-8/3) assuming y is positive.
y**(-398/3)
Simplify (j**(-21)/(j/(j**27/j)))/((j**(1/2)*j)/((j/j**(-21))/j)) assuming j is positive.
j**(47/2)
Simplify (k/(k*k**(-2/5)))**(-24)/(k**(2/3)*k/k**(-2/5)*k*k*k) assuming k is positive.
k**(-44/3)
Simplify ((l**(-29/5))**23)**(-8) assuming l is positive.
l**(5336/5)
Simplify (u**(1/6)/((u/(u*u/(u*u**(-2/7)*u)*u))/u))/((u**14/u)/u**(-1/3)) assuming u is positive.
u**(-499/42)
Simplify (o*(o*o*o/(o**2/o*o))/o)**(-43)/((o*o*o**(1/7)/o)/(o/(o*o*o*o**(15/4)*o))) assuming o is positive.
o**(-1425/28)
Simplify (w/(w/((w/(w/w**(2/7)))/w))*w*(w/(w/(w/((w/(w/(w/(w*w*w/w**(-6)))))/w))*w))/w)**(-2/55) assuming w is positive.
w**(-116/385)
Simplify (i**(-12))**(-3)*i**(-17)*i**(5/4)*i*i assuming i is positive.
i**(89/4)
Simplify (((d/((d/d**1)/d))/d)/d**8)/(d**0)**(-38/3) assuming d is positive.
d**(-7)
Simplify (((g**(-5)*g)/g)/g)/g**(2/9)*(g**(1/4))**(-1/23) assuming g is positive.
g**(-5161/828)
Simplify (i/(i*i*(i*i**(-8/11))/i)*i**(2/43))/((i/i**(1/8))/((((i**20/i)/i)/i*i)/i)) assuming i is positive.
i**(60161/3784)
Simplify (c**(2/21)*c**(1/26))/(c**(-10/7)/(c**(-30)/c)) assuming c is positive.
c**(-16073/546)
Simplify (j**(-2/51)/j*j/(j*(j**(-1/7)/j)/j))/(j**(-2/5)/j*j/(j/(j*j/(j**(1/9)/j)))) assuming j is positive.
j**(-2063/5355)
Simplify (((h*h/h**(-19))/h)/h*h/((h*h/(h*h*h**(-2/5)))/h))/((h**(-1/12)/h)/(h*h**(-23))) assuming h is positive.
h**(-19/60)
Simplify ((k*k**(-29)*k*k)/k)/(k/(k/(k/k**(-11))))*(k*k**(-29))/(k/(k/(k*k*k*k**(-3/10)*k))) assuming k is positive.
k**(-707/10)
Simplify ((h*(h*h**(7/6))/h)/(h/h**(8/7)))/(h/(h*h**9*h*h)*h**3) assuming h is positive.
h**(433/42)
Simplify j/j**11*j*j**(-3/8)*(j/(j**(1/6)/j)*j)**1 assuming j is positive.
j**(-157/24)
Simplify (((q*(q**(-2/13)*q*q)/q*q)/q*q**5*q)**(4/7))**(3/14) assuming q is positive.
q**(612/637)
Simplify t/t**(1/3)*t*(t*t*t**(-8/9)*t)/t*(t**(-12))**41 assuming t is positive.
t**(-4403/9)
Simplify (f/f**(-4/35))/((f/(f/(f**(3/7)*f)))/f)*f**(-21)*f**(-1/46) assuming f is positive.
f**(-32741/1610)
Simplify (((t*t/(t*(t*t**(2/19))/t*t*t*t))/t**(-12))/(t*t/t**(-1/2))**22)**(-1/4) assuming t is positive.
t**(857/76)
Simplify a**(-3/17)*a**(-2/37)/a*(a**(8/7)*a)/a**(3/2) assuming a is positive.
a**(-5175/8806)
Simplify d**(1/5)/((d*d**(-5/4))/d*d)*(d/d**(-2))**(2/23) assuming d is positive.
d**(327/460)
Simplify z**3/z**(-11)*(z**(1/3))**(-3/4) assuming z is positive.
z**(55/4)
Simplify (i**(-9)/i**(2/25))/(i**2/i**(-2)) assuming i is positive.
i**(-327/25)
Simplify ((v/(v**(-1)*v))**(23/3)*(((v**(2/15)/v)/v)/v)/(v**(-4)/v))**(-27) assuming v is positive.
v**(-1323/5)
Simplify (u*u/(((u**10*u)/u)/u*u)*u**4)/(u**3)**0 assuming u is positive.
u**(-4)
Simplify (t**12/(t**10*t))/(t**(-1/8))**29 assuming t is positive.
t**(37/8)
Simplify ((r/r**29)/r**(-3/14))**(-34) assuming r is positive.
r**(6613/7)
Simplify ((m**(-14)*m)**42)**(-2/3) assuming m is positive.
m**364
Simplify (((q*q/q**1)**(-1/74))**(-2/3))**38 assuming q is positive.
q**(38/111)
Simplify ((k**0)**31*k*k**3*(k/(k/((k**(1/5)/k*k)/k)))/k)**(-1) assuming k is positive.
k**(-11/5)
Simplify ((g*g/((g/g**1)/g))/g*g**7*g)/((((((((g**18/g)/g)/g)/g)/g*g)/g)/g*g*g)/(g/(g/g**13))) assuming g is positive.
g**9
Simplify (d/d**(2/5))**(-9/4)*((d*d**0*d)/d)**(1/2) assuming d is positive.
d**(-17/20)
Simplify (p*((p**15/p*p)/p)/p*p)/p*p*(p/p**(-11))/p*(p**(1/8)*p)**(2/37) assuming p is positive.
p**(3857/148)
Simplify (q*q/q**15*q)**(-18)*(q*q*q**(-15/2)*q*q)/(q*q*((q/(q**(-12/13)*q))/q)/q) assuming q is positive.
q**(5501/26)
Simplify ((v*v**(6/5)/v)/(v**(-28)*v))/(v**(2/31)*v**(-1/2)) assuming v is positive.
v**(8877/310)
Simplify (((t**(1/2)*t)/t*t**(-1))**(-4/5))**(-3/26) assuming t is positive.
t**(-3/65)
Simplify (h**(2/57)/(h**14/h*h))/((((h*(h/h**10)/h)/h)/h*h*h)/h*(h*h**(1/8)*h*h)/h) assuming h is positive.
h**(-2777/456)
Simplify h**4/h**(-1/14)*h**(-13)*h*((h**(-2/3)/h)/h)/h assuming h is positive.
h**(-487/42)
Simplify (b/b**(8/5))/(b**8*b*b*b)*b**1*b*b**(4/3) assuming b is positive.
b**(-124/15)
Simplify (y**8)**(-21/8)/(y*y*y**18/y)**(8/9) assuming y is positive.
y**(-341/9)
Simplify ((z*z/z**(3/11)*z*z)/z)/(z*z*z**(-7)*z*z*z)*z*(z/(z*(z/z**11)/z))/z*z*z**(-15/2) assuming z is positive.
z**(203/22)
Simplify (t*(t*t**1*t)/t*t)**47*((t/t**(5/4))/t)/(t/(t**(3/13)*t)) assuming t is positive.
t**(9723/52)
Simplify (v**(-1/2)*v)**(2/15)*(v/(v**(3/8)*v))/(v/v**(-3/5)) assuming v is positive.
v**(-229/120)
Simplify ((m/(m*m*m/((m/(m*m**(-15)*m))/m)*m)*m)/m)**(-3)/(m**(-9)*m*m*m**11/m) assuming m is positive.
m**(-33)
Simplify (n**(1/7)*n*n**6*n**7*n*n**(-3))**(2/17) assuming n is positive.
n**(10/7)
Simplify ((w**(-5/4)*w*w/w**(2/5))/((w*w*w**(-1/2)/w)/w**(1/4)))**(2/67) assuming w is positive.
w**(1/335)
Simplify (((k**1/k)/k)/k**(-6))/((k/(((k/k**(-1/2))/k*k)/k))/(k*(k/(k*(k**(3/10)/k)/k*k*k))/k)) assuming k is positive.
k**(21/5)
Simplify ((o*o**(-21)*o*o)/o**(-3))**(-1/8) assuming o is positive.
o**(15/8)
Simplify m**(-2)/m*m**(1/6)*(m*m**3)/m**(-5) assuming m is positive.
m**(37/6)
Simplify a*a/(a**12*a*a)*a**19*a*a/a**15*a**(-10/7) assuming a is positive.
a**(-52/7)
Simplify (w**(-1/6))**(-1/52)*(w*w**6*w)/(w/(w/w**9)) assuming w is positive.
w**(-311/312)
Simplify (s**(-10)*s*s**5)/(s*s**(-14/9))**42 assuming s is positive.
s**(58/3)
Simplify f**(-31)/(f/(f*f**(2/3)*f))*(f/(f*f**(-22)))/(f**27/f) assuming f is positive.
f**(-100/3)
Simplify (((n**(3/10)/n*n)/(n**(6/17)/n*n))**(1/4))**(-22) assuming n is positive.
n**(99/340)
Simplify (x**15)**28*(x/(x*x*x**(-15)*x*x))/x**(-22) assuming x is positive.
x**454
Simplify (a/a**(-3/2))**(-1)/(a/a**(-15)*a*a**23) assuming a is positive.
a**(-85/2)
Simplify (k**(-7))**(-46)/((k/k**(-1/11)*k*k)/(k/(k*k**(1/6)*k))) assuming k is positive.
k**(20971/66)
Simplify (x/x**(-18))**(-13)*x**(2/9)*x*x**(-2/9) assuming x is positive.
x**(-246)
Simplify (l**(-5)*l*l*l*l*l*((l*l*((l**(-4/3)*l)/l)/l)/l)/l)/(l**7)**(-15) assuming l is positive.
l**(308/3)
Simplify (h**7/h**0)/(h**(-6/7)/(h/h**(-14)*h)) assuming h is positive.
h**(167/7)
Simplify (g/(g*g*g**(-1))*g)**(16/3)/(g*g/(g*g**2)*g*g**(-7)*g) assuming g is positive.
g**(34/3)
Simplify (v**(-6)*v)**(3/44)*v*v**23*v**(-3/11) assuming v is positive.
v**(1029/44)
Simplify (k/(k**(-5)/k*k))**34*(k/(k*k**(-2/11)*k))**15 assuming k is positive.
k**(2109/11)
Simplify ((w/w**(-1/5))**19/((w/(w**(4/7)/w))/w**(2/5)))**(-30) assuming w is positive.
w**(-4572/7)
Simplify c*c*c/(c**(-2)*c)*c*c*c**(-13)*(c**(-3/8)/c)/(c*c**3/c) assuming c is positive.
c**(-91/8)
Simplify ((s/(s/((s/s**(1/2))/s))*s)**39*(s**2)**(-2/39))**(2/39) assuming s is positive.
s**(1513/1521)
Simplify x*x/(x/x**4)*x/(x*x**19*x)*(x/(x*x**(1/6)))/(x**(-7)/x*x) assuming x is positive.
x**(-49/6)
Simplify (z**(5/2))**(-3/22)*z/(z*z/(z/(z/z**(3/2))))*(z/z**0)/z assuming z is positive.
z**(7/44)
Simplify ((f*f*f*f**(-1))/f**20)/(f**(-9)*f)**12 assuming f is positive.
f**78
Simplify (a/(a/(a/a**7)))**(3/26)/(a/(a**(2/29)*a)*a*a/(a**(-4)*a)) assuming a is positive.
a**(-2120/377)
Simplify ((y/y**(-9))/(y*y**12))/(y**8*y/((y*y**(-1/11))/y*y*y*y)) assuming y is positive.
y**(-100/11)
Simplify (r*r*(((r**(2/15)/r)/r)/r)/r*r*r)/(r**(-3/2)/r*r)*r**(-1)*r*r*r**(-14) assuming r is positive.
r**(-341/30)
Simplify (y**(-3/17)/y**25)/(y**6)**(17/4) assuming y is positive.
y**(-1723/34)
Simplify (z*(z/(z/(z*z**(-2))))/z)**6*(z**8*z)**15 assuming z is positive.
z**129
Simplify (((v**(2/17)/v*v)/v)/v*v/v**7*v)/(v**9*v**11) assuming v is p
|
{
"pile_set_name": "DM Mathematics"
}
|
tens digit of (-1 + z/(-12))*-4?
1
Suppose y - 51 = -0. Suppose 33 + y = 4*k. What is the units digit of k?
1
Let a = -72 + 102. Let t = -14 - -14. Suppose t*j - a = -3*j. What is the tens digit of j?
1
Let m(t) = -t**3 + 4*t**2 + 7*t - 5. Let b be m(5). Suppose -p = -b*z + 62, 2*z - 3*z = -5*p - 22. What is the tens digit of z?
1
Suppose 3*k - 4 = 8, 0 = -5*t + 5*k. Suppose 32 = 3*l + t*b - 99, 3*b = -3*l + 126. What is the tens digit of l?
3
Let r(i) = -5*i + 6. Let c be r(4). Let g = c - -25. What is the units digit of g?
1
Let g be 16/7 + 4/(-14). Suppose u = g*o - 116, 5*o - 5*u - 246 - 39 = 0. What is the tens digit of o?
5
Suppose 0 = 98*j - 100*j + 234. What is the units digit of j?
7
Let q be 1 - (-2 + -125 + 2). Suppose 0*b - q = -3*b. What is the units digit of b?
2
Let z = 18 - 11. Suppose m + p - 14 = -2*m, -4*m + 23 = -3*p. Suppose 0 = -2*f - 2*f - 12, f - z = -m*o. What is the units digit of o?
2
Let f = -221 - -310. What is the units digit of f?
9
What is the tens digit of 351 - 25/10*(-18)/(-15)?
4
Let v(k) = -36*k - 12*k + 7*k - 5. Let z be v(5). What is the units digit of z/(-27) + (-6)/(-27)?
8
Let h(m) = -m**3 + m**2 + 6*m + 32. Let a(z) = 2*z**3 - 2*z**2 - 11*z - 63. Let w(l) = -6*a(l) - 11*h(l). What is the tens digit of w(0)?
2
Let j(m) = m**3 - 3*m**2 + 4*m - 2. Let f be j(2). Let l(k) = 7*k - 7*k**f + 6 + k**3 - 1 - 4. What is the units digit of l(6)?
7
Suppose 5*v = 3*v + 6. Suppose -d = -v*d - z + 115, -3*z = 5*d - 290. What is the tens digit of d?
5
What is the tens digit of (-570)/(-40) - ((-5)/(-4) - 1)?
1
Let g(i) = -15*i + 3. What is the tens digit of g(-2)?
3
Let b be (2/(-6))/((-5)/15). Let v be b/2*(1 - -3). Suppose 0*d - 20 = -v*d. What is the tens digit of d?
1
Let j(w) = -3*w + 4 - 2 - 4 - w**3 + 6*w**2. What is the units digit of j(5)?
8
Let r(d) = d - 13. Let i be r(9). What is the tens digit of 119/11 + i/(-22)?
1
Suppose 5*q - 16 + 1 = 0. Suppose -x - 3*i - q = 2*x, -3*i = 6. What is the units digit of x?
1
Let v = 1 + 2. Suppose 3*j - 3*s = -2*j + 115, -4*j = v*s - 92. What is the tens digit of j?
2
Let a(z) = -z**2 - 6*z + 3. Let i be (6 + -4)*(-10)/(-4). Let u = i + -11. What is the units digit of a(u)?
3
Suppose -a + 5*j + 7 = 0, -4*j = 5*a - 10 + 4. Suppose -11 = -m + a*u, -3*m - u + 0*u + 19 = 0. What is the units digit of m?
7
Let k be (5 - 4)*19*2. Let n = -19 + k. Let b = n + -11. What is the units digit of b?
8
Let h(i) be the third derivative of i**5/30 + i**4/24 + i**2. What is the units digit of h(-1)?
1
Let m be (-18 - 2)/4*-1. Suppose -5*j + 63 = 4*s - 13, -5*s + m*j = -140. What is the tens digit of s?
2
Suppose -5*z - 2*t - 2 = -37, -3*z = 3*t - 21. Let g = z + -8. What is the units digit of -3 - g - 8/(-2)?
2
Let b(f) = 68*f**2 + f - 1. What is the hundreds digit of b(2)?
2
Suppose -45 = -4*p + p. Let g = p - -3. What is the tens digit of g?
1
Suppose z - x = 3, -2*z - x - x = 6. Suppose 4*p + 4 - 13 = t, t + 3*p - 12 = z. Suppose 2*d + 29 = 3*s, -t*s + 4*d = d - 33. What is the units digit of s?
7
Suppose 0*s - 4*c = 4*s - 40, 4*s - 70 = 2*c. What is the tens digit of s?
1
Let y be 1 - (-1 - 2/1). Suppose 2*f = 5*r - 74, 0 = -3*r - y*f + 43 + 17. What is the tens digit of r?
1
Suppose 7 = -5*y + 27. Suppose -y*s + 3*g + 16 = 0, 2*s - g = -2*g + 8. Suppose 0 = -9*i + 4*i + s*z + 60, 0 = -5*i + 3*z + 55. What is the units digit of i?
8
Suppose -4*u + 2 = -18. Suppose u*c - 30 = 85. What is the units digit of c?
3
Let c(b) = -b**3 + 10*b**2 - 4*b. What is the units digit of c(6)?
0
Let l(n) = -n**2 - 18*n - 20. What is the units digit of l(-11)?
7
Let u(o) = -o**3 - 4*o**2 - 6*o - 2. What is the units digit of u(-4)?
2
Let v = -94 - -151. What is the tens digit of v?
5
Let o(r) = -4*r + r + 1 + 3*r - 9*r**2. Let f(c) = -9*c**2 + 1. Let n(j) = -5*f(j) + 4*o(j). What is the units digit of n(1)?
8
Let h = 30 - 13. Suppose -8*f = -4*f - 5*i + 9, 3*f + i = h. Let d = 13 - f. What is the units digit of d?
9
Let y(q) = 2*q**2 - q - 2. Let w be y(-2). Let u = -1 + w. What is the units digit of u?
7
What is the units digit of (4 + (122/4)/(-1))*-10?
5
Suppose 3*b + 0*o - 26 = -4*o, 3*o - 15 = 0. Suppose 4*l + 3*a - 29 = 0, 2*l = -0*l + b*a + 32. What is the tens digit of l?
1
Let a = -6 + 10. Suppose 5*m - x - 101 = -2*x, 5*m - a*x - 96 = 0. What is the units digit of m?
0
Let n(g) = g + 0 - 1 - 3. Let a be n(0). What is the units digit of (-153)/(-21) + a/14?
7
Let n = 18 + -10. What is the units digit of n?
8
Let h be 54/10 - 2/5. What is the units digit of (-2 - -1)/(h/(-155))?
1
Let x(c) = -30*c + 5. Let n be x(-4). Suppose -4*o - 5*j + n = 0, -o = -j + 3*j - 35. What is the units digit of o?
5
Let w(x) = -x + 6. Let j be w(0). What is the tens digit of (-117)/6*(-8)/j?
2
Let y(u) = u + 9. Let i be y(-7). Suppose i*m - 36 = -2*m. What is the units digit of m?
9
Let l be 3/(-4)*8/(-2). Suppose 6*d - l*d = 15. Suppose r + 35 = d*c, -4*c + 2*r = -r - 17. What is the units digit of c?
8
Let r be 1 + (0 - 1/1). Suppose -41 = -2*g - 5*t + 40, r = -3*t + 9. What is the tens digit of g?
3
Let j be -1 - (1 + 0) - -2. Let k = 3 + j. Suppose -9 = -k*i - 0*i. What is the units digit of i?
3
Let m(p) = 20*p**3 + 2*p - 1. Let v be m(1). Suppose -3*c + 2*w + v = w, -4*w - 20 = -4*c. Suppose -2*r = -0*r - c. What is the units digit of r?
4
Suppose m + 4*y - 329 = 0, -2*m + 0*y = y - 658. What is the tens digit of m?
2
Let m = -6 + 50. Suppose -d + m = 3*d. What is the tens digit of d?
1
Let o = 2 - -1. Suppose -3*a + o*p = -93, -a - 3*a - 4*p = -108. What is the tens digit of a?
2
Suppose -24 = -0*z + 3*z. Let x(q) = -3*q + 6 + 4*q + 9. What is the units digit of x(z)?
7
Let r(t) = 8*t**2 + t. Let y be r(-2). Suppose -4*n = -y - 14. What is the tens digit of n?
1
Let m = 5 - -2. Suppose m*a = 4*a + 42. What is the units digit of a?
4
Let w(c) = 7*c**3 + c**2 - c + 1. What is the units digit of w(2)?
9
Let q = 5 + -1. Let c = 8 - -2. What is the units digit of q/c - (-26)/10?
3
Let q(k) = 4*k - 4. Let t(a) = a**3 + 9*a**2 + 8*a + 2. Let m be t(-8). Let d be 1/(-2) - (-7)/m. What is the units digit of q(d)?
8
Let s(w) = 3*w. Let x be s(6). Suppose -4*j = -x + 6. What is the units digit of j?
3
Suppose 2 = -m - 1. Let u(w) = -w**2 - 4*w + 4. What is the units digit of u(m)?
7
Let k be (0 - 4)/2 + 2. Let y be -1 + 1 - (-1 - k). Let v = y + 4. What is the units digit of v?
5
Let i = 4 - 8. Let d = i + 6. Suppose 7*y = -b + d*y - 7, 2*b - y = 8. What is the units digit of b?
3
Let u(o) = -2 - 4 + o - o + 2*o. Let v = 13 - 8. What is the units digit of u(v)?
4
Let c(n) = 3*n - 4. Let h(w) = w**2 + 5*w - 3. Let i be h(-4). Let m be c(i). What is the units digit of 6/(-10) + (-290)/m?
1
Let r(z) = -9*z - 26. What is the tens digit of r(-13)?
9
Let g(z) = -z + 4. Let f be g(2). Suppose 11 = 3*l + f. Suppose 2*k - l - 7 = 0. What is the units digit of k?
5
Suppose -4*b = 3*c - 60, c - 3 = 4*b + 1. Suppose -u - 4*f + c = 0, -2 = 3*u - 2*u - 5*f. What is the units digit of u?
8
Suppose -5*i + 383 = 3*b, -4*b - 2*i + 4*i = -502. What is the hundreds digit of b?
1
Suppose -5*f = 2*s - s - 147, 2*f = 0. Suppose -5*m = 37 - s. Suppose 3*d - m = d. What is the units digit of d?
1
What is the units digit of (-4)/(-18) + 612/162?
4
Let m = -4 + 3. Let j(i) = -9*i + 1. Let f be j(m). Let n = f + -1. What is the units digit of n?
9
What is the tens digit of 2 + (-16)/6*(-9)/2?
1
What is the tens digit of (-111 + 0)*5/(-15)?
3
Suppose u = 6*u - 15. Suppose -8 = -u*p - 2. What is the units digit of p?
2
Let h(x) = x**3 + 14. Let s be h(0). Let t be -3 + (2 - 0)*s. Suppose 0 = 4*p - 11 - t. What is the units digit of p?
9
Suppose 2*s + 3*s = 45. Suppose 5*n = 8*n + 6. What is the units digit of 60/s + n/(-6)?
7
Let l(q) = q**3 - 5*q**2 + q + 1. Let r be l(5). Let d = r - 1. What is the units digit of d?
5
Let v(m) be the third derivative of -m**6/120 + m**5/15 + 5*m**4/24 + 5*m**3/6 + m**2. Let h = -10 - -15. What is the units digit of v(h)?
5
Suppose 0 = 2*t - 2*m + 6*m - 52, t - 5 = 5*m. Suppose 4*p - t = -4*c, 1 = -c - 3. What is the units digit of p?
9
What is the units digit of 78/(-15)*20/(-8)?
3
Let l be (-1)/(3/6) + 38. Suppose 6*o - l = 3*o. What is the tens digit of o?
1
Suppose 2*n + 2*u = 28, -u + 47 = n + 3*n. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 16?
False
Suppose 0 = 4*i - 2*u - 62, -3*i + 8*i = u + 76. Let c = i + -27. Does 16 divide c/16*36*-1?
False
Let k be -2 + (2 - 0) - (-943 - 1). Suppose -12*l - k = -28*l. Is l a multiple of 30?
False
Suppose 0 = 4*c - 4*o - 116, 2*o - 4 = 6*o. Suppose 3*d - 70 = 2*t, 2*d = -4*t + 80 - c. Is 6/16 + (663/d)/1 a multiple of 4?
True
Let d(x) = x**2 + 3*x - 3. Let l be d(2). Let w(z) = 7*z + 101. Let t be w(-14). Suppose -4*k - l = 9, -t*k + 2 = o. Is 7 a factor of o?
True
Let s(t) = -t**3 + 10*t**2 - 2*t + 2. Let l be s(4). Suppose 0 = -7*n + 12*n - l. Let r(f) = 2*f + 16. Does 23 divide r(n)?
False
Let x(c) = 3*c**3 - 3*c**2 - c - 2. Let n be x(2). Suppose -1694 = k - n*k. Does 22 divide k?
True
Let t = -6 - -10. Suppose 0 = -t*o - 4*x + 176, -2*o + 3*o - 3*x = 44. Is o a multiple of 3?
False
Suppose 0*m + 35 = 5*m. Let t = m - 2. Suppose -b + 380 = 3*v, 2*v + 0*v + t*b - 236 = 0. Is v a multiple of 16?
True
Let a = 1051 - 2245. Let g = -567 - a. Does 33 divide g?
True
Let k = -346 - -342. Is 210*5/(k - 145/(-30)) a multiple of 42?
True
Let h(w) = 18*w + 101. Let n be h(-6). Does 15 divide 2/(-70)*n - (-14908)/10?
False
Let u = -4218 + 4564. Does 9 divide u?
False
Is 10 a factor of (23 - 876/36)*(-2 - 2651/2)?
True
Let p be (170/(-1020))/((-1)/102). Suppose -2*g - 3*g + 220 = 0. Suppose j + 2*b - 5 = p, -2*j = -2*b - g. Does 11 divide j?
True
Let m be -6 + (9 - -2) + -3 + -1 - -19. Let f(v) = 12 + 17*v - v**2 - 11*v + 14*v. Is f(m) a multiple of 6?
True
Let f = 267 - 262. Suppose -f*x + 32760 = 30*x. Does 62 divide x?
False
Let h be (-225)/(-54) + (-2)/12. Suppose 2*a - d - 47 + 39 = 0, -13 = -5*a - d. Is (150/h)/((-15)/6 + a) a multiple of 8?
False
Let n be (0/(-30))/(0 - -3). Let c = 49 + -28. Suppose x - 34 - c = n. Is x a multiple of 20?
False
Suppose -p = -3*k - 2*k + 404, 0 = -5*k + 5*p + 420. Suppose 0 = -k*c + 83*c - 156. Is 10 a factor of (0 - c)*(-130)/40?
False
Let x(l) = -19 + 0*l - 3*l + l. Let v be x(-10). Is 18 a factor of 55 - (2 - 1/v)?
True
Let a(n) = 2*n**2 + 60*n + 6. Is 6 a factor of a(23)?
False
Suppose -q + 9515 = b, -q = -5*b + 1324 - 10869. Is 69 a factor of q?
False
Let y(g) = 8245*g**3 - 86*g**2 - g - 1. Is y(1) a multiple of 26?
False
Suppose -5*c + 25 = -205. Is (c/8)/((-7)/(-308)) + -1 a multiple of 36?
True
Let u(j) = 8*j + 2*j**2 - 7128*j**3 + 0*j**2 + 0*j**2 + 7127*j**3 + 12. Is u(-5) a multiple of 7?
True
Let m be (-549)/27 + 1/3. Let d(f) = -f**3 + 11*f**2 + 8*f - 13. Let r be d(11). Let h = r + m. Is h a multiple of 13?
False
Let y(o) = o**2 + 9*o + 13. Let u be y(-7). Let j be -6 + 3 + u - 2/2. Does 13 divide (892/(-12) - j)/(2/(-6))?
True
Suppose 28 = 4*o + 3*o. Suppose 7*x + o*x = 6*x. Suppose -5*m - 1090 = -5*p, 2*p + m - 433 = -x*p. Does 31 divide p?
True
Let x be ((-376)/32 + 8)/(6/(-16)). Let o(y) = -y**3 + 9*y**2 + 11*y + 6. Does 2 divide o(x)?
True
Is ((-629)/74)/(-1 - (-413)/414) a multiple of 25?
False
Let x = -4 + 12. Let b be 24*(-10)/4*(-112)/24. Suppose -x*t + 15*t = b. Does 8 divide t?
True
Let q(h) = 2*h + 36. Let l(r) = r**3 + 7*r**2 + 8*r + 6. Suppose -4*c + 5*c = -6. Let z be l(c). Is 4 a factor of q(z)?
True
Let x(j) = 92*j**2 - 19*j + 6. Is x(9) a multiple of 168?
False
Let q(x) = 10*x - 59. Let m be 3/(-6) + (-23)/(-2). Let o be q(m). Suppose 110 = i - o. Is i a multiple of 23?
True
Suppose -3*v - 2*h + 28 = 0, -7*v + h = -2*v - 64. Let b be 119/3 - (2 - 28/v). Suppose 3*x - 5*x = -b. Does 5 divide x?
True
Suppose -6*o + 47 + 7 = 0. Suppose -o*d + 5*d = -20. Suppose 0 = -2*g - 0*w - w + 331, d*g - w - 845 = 0. Does 13 divide g?
False
Suppose 0 = 9*g - 16422 - 1047. Is g a multiple of 4?
False
Suppose -2*f = 2*n - 1630, 0 = -3*n + 452*f - 451*f + 2437. Is n a multiple of 22?
False
Let d be ((-18)/(-54))/(1/204). Suppose -d*o + 50*o + 1404 = 0. Does 26 divide o?
True
Suppose w = 4, -401 = 4*b + 2*w - 121. Let i = -65 - b. Suppose -9*h + 26 = -i*h. Is 13 a factor of h?
True
Suppose -6*q + 122279 = 46*q - 38245. Is 10 a factor of q?
False
Let v(n) = 871*n + 6595. Is 169 a factor of v(5)?
False
Let u be 4*(-16 + -1)/(-8 + 4). Suppose -7*a = u*a - 5256. Is a a multiple of 3?
True
Suppose -2*t = 5*o - 9 - 7, -3*o = 3*t - 6. Let z be 92*(-150)/12*t/20. Is 23 a factor of -1*z/15*-6?
True
Suppose -2*q + 2 = -2. Let v be (94/(-470))/(3/(150/(-1))). Suppose q*z - v = 4. Is 5 a factor of z?
False
Let n(k) = -k**3 + 5*k**2 - 4*k + 14. Suppose 0 = 3*o + 5*c - 25, -3*o + 2*c + 8 + 3 = 0. Let g be n(o). Does 27 divide (3 - 2 - 2)*1458/g?
True
Let a(j) = 36*j**2 + 67*j + 142. Is 12 a factor of a(-10)?
True
Suppose -17760 = -4983*i + 4971*i. Does 20 divide i?
True
Let n = -195 - -195. Suppose -288 = -n*o - 4*o - 4*c, -16 = 4*c. Is 38 a factor of o?
True
Suppose -83*o + 107*o = 56544. Let z = -1384 + o. Is z a multiple of 81?
True
Let b = 30172 + -14002. Suppose 14*d = -0*d + b. Is d a multiple of 77?
True
Suppose -5*z - 3*i + 3653 = 0, 0 = 2*z - 6*i + 3*i - 1457. Is z a multiple of 46?
False
Let l(d) = 47*d**2 + 50*d + 134. Does 11 divide l(-21)?
True
Let d = 17 + 5. Let o = 594 + -294. Suppose -d*b + o = -17*b. Is 13 a factor of b?
False
Is (-5)/(-10)*14030 + (-4 - -11) a multiple of 68?
False
Let o = -12 + 52. Suppose 16 = -4*v, -v = -4*m + 4*v + o. Suppose -y = x - 5*x + 170, -116 = -3*x - m*y. Is x a multiple of 11?
False
Suppose 5*g = w - 16, -4*g = -3*w + 7*w + 8. Let f be 15/(-5) - (-2)/w. Does 3 divide (-2)/2*(-10 + f)*5?
False
Suppose -26*y + 76*y = 12*y + 1077528. Is 14 a factor of y?
False
Let g = -1659 + 2461. Is 2 a factor of g?
True
Let f be (-1 + 3)*(-9)/(-9) - -362. Suppose 592*x - 585*x = f. Does 3 divide x?
False
Suppose -c + 1520 + 1178 = -4*o, -5*o - 13460 = -5*c. Suppose 5*p = -3*x + 4438, -4*x = -3*p + x + c. Suppose 11*z - p = 6*z. Does 12 divide z?
False
Is 28 a factor of (-1)/(303245/(-12635) + 24)?
False
Suppose -k = 8 - 12. Let d(c) = c - 1. Let r be d(k). Suppose r*m = 2 + 31. Does 3 divide m?
False
Suppose -f + 5*l - 9 = 0, -l + 5 = 2. Suppose -f = -d - 2*d. Suppose -d*x = -167 - 187. Does 16 divide x?
False
Suppose 10*w - 5*w + 48780 = 20*w. Is w a multiple of 4?
True
Let u(d) = 251*d**2 + 139*d + 984. Is u(-7) a multiple of 10?
True
Suppose 6*a = -0*a + 24. Suppose -5*b - 6*q + 2*q - 662 = 0, a*q = b + 118. Let k = -16 - b. Is k a multiple of 20?
False
Suppose 336 = -4*z + 2440. Suppose -10*h = 11 - 31. Suppose -4*o - h*f + z = 0, -260 = -2*o - 0*f - 2*f. Is o a multiple of 45?
False
Let u = 197 + -192. Suppose -u*k = -1234 - 1571. Does 11 divide k?
True
Let h = -166 - -187. Is 22 a factor of ((-955)/(-2) + -2)/(h/14)?
False
Is (-2)/(856/280 + -3)*(-119)/1 a multiple of 7?
True
Let x(a) = -6*a**2 + a**3 + 2*a - 4 + 11 + a**2. Let v be x(6). Suppose 5*y = -0 + v. Does 2 divide y?
False
Suppose 2450*a = 2447*a - 111. Suppose 2*x + 128 = -0*x - 5*r, -238 = 4*x + r. Let b = a - x. Is 11 a factor of b?
True
Let m(j) = 58*j + 79. Let h be (30 - 31)/(2/(-6)). Is m(h) a multiple of 23?
True
Suppose -4*m + 5*u + 11 = -3*m, -m - 2*u + 4 = 0. Suppose -3*h - p = -m*h + 42, 5*h + 5*p = 70. Suppose -8*i - h = -54. Is i even?
False
Let a = -6172 - -8318. Is a a multiple of 58?
True
Suppose 0 = -w - 4*t + 8450, 159*t = 2*w + 157*t - 16880. Is 126 a factor of w?
True
Let t(r) = -r**3 + 19*r**2 - 40*r - 19. Let c be t(17). Let o = c + 130. Suppose 0*v + 774 = o*v. Is 43 a factor of v?
True
Let v(k) = -4*k + 5. Let w be v(2). Let c(i) = i**3 + 5*i**2 + 3*i + 1. Let n be c(w). Let b(j) = j**3 - 10*j**2 + 7*j - 13. Does 9 divide b(n)?
False
Suppose 0 = -11*f + 3*f - 48. Let a be 3/f*6 + -57. Let m = 115 + a. Is m a multiple of 5?
True
Does 13 divide 6680/(-90)*-3*15/10?
False
Let u be (-6)/(-24) - ((-3755)/4)/1. Suppose 4*d + g - u = 0, -3*d - 2*g + 468 = -d. Does 14 divide d?
False
Let c(m) = 54*m + 259. Let i(w) = 13*w + 65. Let v(j) = 6*c(j) - 26*i(j). Does 44 divide v(-16)?
True
Suppose 11*c = 7*c - 176. Let z = 48 + c. Suppose 4*r - 27 = -3*y - 2*y, z*y = -4*r + 28. Does 2 divide r?
True
Suppose 41*x - 218*x + 4743391 + 4777439 = 0. Does 33 divide x?
True
Let c(w) = 5379*w - 380. Is c(3) a multiple of 10?
False
Suppose 25*m = 5*m - 160. Does 29 divide (-1906)/(-8) + (-6)/m?
False
Does 17 divide (101 + 0)/((36/2376)/(4/6))?
False
Let n = 90 - 74. Suppose -h - 2*s - 3 = -5, -2*h + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
nth root of 17914 to the nearest integer?
4
What is the square root of 3579 to the nearest integer?
60
What is 2140 to the power of 1/2, to the nearest integer?
46
What is the square root of 158 to the nearest integer?
13
What is 9227 to the power of 1/3, to the nearest integer?
21
What is 21198 to the power of 1/6, to the nearest integer?
5
What is the square root of 14813 to the nearest integer?
122
What is 11892 to the power of 1/2, to the nearest integer?
109
What is the square root of 421 to the nearest integer?
21
What is the ninth root of 5275 to the nearest integer?
3
What is 471 to the power of 1/2, to the nearest integer?
22
What is 5683 to the power of 1/7, to the nearest integer?
3
What is the cube root of 254 to the nearest integer?
6
What is 65945 to the power of 1/9, to the nearest integer?
3
What is the square root of 13515 to the nearest integer?
116
What is 151 to the power of 1/3, to the nearest integer?
5
What is the square root of 32474 to the nearest integer?
180
What is the square root of 546 to the nearest integer?
23
What is the sixth root of 704 to the nearest integer?
3
What is the third root of 4946 to the nearest integer?
17
What is 11003 to the power of 1/3, to the nearest integer?
22
What is the cube root of 33673 to the nearest integer?
32
What is 118388 to the power of 1/9, to the nearest integer?
4
What is the sixth root of 6769 to the nearest integer?
4
What is 62598 to the power of 1/2, to the nearest integer?
250
What is the fourth root of 453 to the nearest integer?
5
What is the cube root of 9662 to the nearest integer?
21
What is 808 to the power of 1/2, to the nearest integer?
28
What is the cube root of 3581 to the nearest integer?
15
What is the tenth root of 5983 to the nearest integer?
2
What is the fourth root of 1763 to the nearest integer?
6
What is the square root of 98226 to the nearest integer?
313
What is the cube root of 27288 to the nearest integer?
30
What is the square root of 13080 to the nearest integer?
114
What is 5499 to the power of 1/2, to the nearest integer?
74
What is the cube root of 21553 to the nearest integer?
28
What is 53814 to the power of 1/3, to the nearest integer?
38
What is 3631 to the power of 1/7, to the nearest integer?
3
What is the cube root of 62322 to the nearest integer?
40
What is the seventh root of 429 to the nearest integer?
2
What is 3497 to the power of 1/4, to the nearest integer?
8
What is the third root of 2213 to the nearest integer?
13
What is the square root of 2291 to the nearest integer?
48
What is 4698 to the power of 1/3, to the nearest integer?
17
What is 162328 to the power of 1/3, to the nearest integer?
55
What is the eighth root of 201 to the nearest integer?
2
What is the sixth root of 1812 to the nearest integer?
3
What is 2460 to the power of 1/2, to the nearest integer?
50
What is the cube root of 170684 to the nearest integer?
55
What is the cube root of 427 to the nearest integer?
8
What is the square root of 658 to the nearest integer?
26
What is the third root of 50963 to the nearest integer?
37
What is the square root of 73958 to the nearest integer?
272
What is the sixth root of 8083 to the nearest integer?
4
What is 19770 to the power of 1/2, to the nearest integer?
141
What is 329 to the power of 1/9, to the nearest integer?
2
What is 5635 to the power of 1/2, to the nearest integer?
75
What is 40778 to the power of 1/3, to the nearest integer?
34
What is 15164 to the power of 1/8, to the nearest integer?
3
What is the cube root of 743 to the nearest integer?
9
What is 35632 to the power of 1/2, to the nearest integer?
189
What is the cube root of 1739 to the nearest integer?
12
What is 103 to the power of 1/2, to the nearest integer?
10
What is the cube root of 917 to the nearest integer?
10
What is the square root of 5917 to the nearest integer?
77
What is the square root of 119622 to the nearest integer?
346
What is 4026 to the power of 1/7, to the nearest integer?
3
What is the third root of 27432 to the nearest integer?
30
What is 1799 to the power of 1/10, to the nearest integer?
2
What is 1453 to the power of 1/2, to the nearest integer?
38
What is the square root of 38758 to the nearest integer?
197
What is the cube root of 41815 to the nearest integer?
35
What is 37737 to the power of 1/7, to the nearest integer?
5
What is the square root of 9759 to the nearest integer?
99
What is 98328 to the power of 1/6, to the nearest integer?
7
What is 1130 to the power of 1/3, to the nearest integer?
10
What is 3489 to the power of 1/2, to the nearest integer?
59
What is the cube root of 4524 to the nearest integer?
17
What is the cube root of 161914 to the nearest integer?
55
What is the eighth root of 151 to the nearest integer?
2
What is 1490 to the power of 1/3, to the nearest integer?
11
What is the tenth root of 1326 to the nearest integer?
2
What is the fifth root of 3708 to the nearest integer?
5
What is 1205 to the power of 1/2, to the nearest integer?
35
What is 26172 to the power of 1/10, to the nearest integer?
3
What is the square root of 3336 to the nearest integer?
58
What is 7569 to the power of 1/6, to the nearest integer?
4
What is the third root of 13 to the nearest integer?
2
What is the fifth root of 796 to the nearest integer?
4
What is 1564 to the power of 1/8, to the nearest integer?
3
What is 7691 to the power of 1/3, to the nearest integer?
20
What is the cube root of 376 to the nearest integer?
7
What is the sixth root of 95 to the nearest integer?
2
What is 16050 to the power of 1/2, to the nearest integer?
127
What is the cube root of 46876 to the nearest integer?
36
What is the square root of 145 to the nearest integer?
12
What is the third root of 2431 to the nearest integer?
13
What is the cube root of 24949 to the nearest integer?
29
What is the cube root of 69656 to the nearest integer?
41
What is the square root of 28832 to the nearest integer?
170
What is 50150 to the power of 1/10, to the nearest integer?
3
What is the square root of 1630 to the nearest integer?
40
What is the cube root of 98273 to the nearest integer?
46
What is the seventh root of 67977 to the nearest integer?
5
What is 371 to the power of 1/2, to the nearest integer?
19
What is 1816 to the power of 1/2, to the nearest integer?
43
What is the eighth root of 37479 to the nearest integer?
4
What is the fourth root of 59112 to the nearest integer?
16
What is the square root of 5509 to the nearest integer?
74
What is 1730 to the power of 1/2, to the nearest integer?
42
What is 1590 to the power of 1/10, to the nearest integer?
2
What is 54133 to the power of 1/7, to the nearest integer?
5
What is 912 to the power of 1/9, to the nearest integer?
2
What is the cube root of 3475 to the nearest integer?
15
What is the third root of 5735 to the nearest integer?
18
What is the third root of 7166 to the nearest integer?
19
What is the cube root of 7248 to the nearest integer?
19
What is the seventh root of 645 to the nearest integer?
3
What is the square root of 239 to the nearest integer?
15
What is the eighth root of 4913 to the nearest integer?
3
What is the square root of 12721 to the nearest integer?
113
What is 142910 to the power of 1/3, to the nearest integer?
52
What is the sixth root of 33702 to the nearest integer?
6
What is 32617 to the power of 1/7, to the nearest integer?
4
What is 2482 to the power of 1/7, to the nearest integer?
3
What is the cube root of 4360 to the nearest integer?
16
What is 2807 to the power of 1/7, to the nearest integer?
3
What is the cube root of 434 to the nearest integer?
8
What is 27518 to the power of 1/9, to the nearest integer?
3
What is 5273 to the power of 1/3, to the nearest integer?
17
What is 1585 to the power of 1/2, to the nearest integer?
40
What is 99676 to the power of 1/2, to the nearest integer?
316
What is 365 to the power of 1/10, to the nearest integer?
2
What is 47581 to the power of 1/2, to the nearest integer?
218
What is the square root of 3400 to the nearest integer?
58
What is 20126 to the power of 1/2, to the nearest integer?
142
What is the seventh root of 5199 to the nearest integer?
3
What is the square root of 1290 to the nearest integer?
36
What is 4153 to t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 9. Let r be h(7). What is the second derivative of -d - 2*d**r - 16*d**k + 2*d**2 - 6*d wrt d?
-192*d**2
Let v(j) be the first derivative of 8*j**5 - 56*j**3/3 + 6322*j - 4263. Find the first derivative of v(b) wrt b.
160*b**3 - 112*b
Let n(t) be the third derivative of t**4/24 + 2*t**3/3 + 9*t**2. Let b be n(7). Differentiate -27 + 11 + b*v**2 + 4*v**2 wrt v.
30*v
Let i = 2865 - 1526. What is the derivative of 45 + r**4 - 6 - i*r + 1354*r wrt r?
4*r**3 + 15
Let t be (-1)/((-8)/(-4))*-12. Find the third derivative of -2*n**t + n**2 - 19 - 10*n**2 + 24*n**5 + 7*n**2 wrt n.
-240*n**3 + 1440*n**2
Find the second derivative of -7230*r**5 - 499*r - 1885*r + 2159*r**5 - 376*r wrt r.
-101420*r**3
Find the third derivative of 57*t**2 + 122*t**4 - 474*t**4 - 169*t**4 - 911*t**2 + 98*t**2 wrt t.
-12504*t
Let n be (69/6)/1 - (-2)/4. Let z be (1 - -33) + 12/n. What is the first derivative of -z*v**2 + 4 - 1 + 4*v**2 wrt v?
-62*v
Let a(u) = 38601*u**2 + 32*u - 24528. Let p(r) = 12867*r**2 + 10*r - 8179. Let y(d) = 5*a(d) - 16*p(d). What is the derivative of y(b) wrt b?
-25734*b
Suppose 3*g - o = 7, -1 = -3*g + 2*o + 1. What is the third derivative of -10*y**g - 10*y**4 + 17*y**4 - 2*y**3 - 79*y**2 wrt y?
-72*y - 12
Suppose 10 = -15*b + 12*b - 4*w, 3*b - 2*w = 14. Differentiate -598*c**3 - 7*c**4 + 8 + 598*c**3 - b*c with respect to c.
-28*c**3 - 2
Let t = 25 - 28. Let z be 67 + (t + -2 - -4). Differentiate -72 + z - 10*k**3 - 2*k**3 with respect to k.
-36*k**2
Suppose 0 = 2*c + 8, t - 120 = -2*t + 3*c. Find the third derivative of -5*u**2 + 67*u**5 + 254*u**3 - t*u**2 + 2 - 254*u**3 wrt u.
4020*u**2
Let a(s) be the first derivative of 251*s**7/42 - 35*s**3/2 - 75*s + 118. Let d(o) be the first derivative of a(o). What is the second derivative of d(q) wrt q?
5020*q**3
Let y(k) = 313*k**3 - 5*k**2 + 164*k. Let p(r) = -1252*r**3 + 19*r**2 - 656*r + 2. Let h(o) = -3*p(o) - 11*y(o). What is the second derivative of h(m) wrt m?
1878*m - 4
Let g(a) be the first derivative of 401*a**4 - 2468*a**3/3 - 1908. What is the third derivative of g(v) wrt v?
9624
Let q be -10*(-10)/(-8)*(-8)/(-20). Let j be (-7 - q)/(-2*(-2)/(-14)). What is the third derivative of j*v**2 + 5*v**3 - 10*v**2 - 15*v**3 wrt v?
-60
Suppose 4*n + 18 = 3*m, -4*m - 2 = -5*n - 25. Find the third derivative of -2 - 20*v**3 + 67*v**m - 27*v**3 - 13*v**3 - 77*v**2 wrt v.
-360
Let x(q) be the third derivative of -371*q**5/20 + 637*q**3/6 + 641*q**2. Find the first derivative of x(t) wrt t.
-2226*t
Let j(f) be the second derivative of -4499*f**3/3 + 739*f**2 - 16*f + 159. Differentiate j(o) with respect to o.
-8998
Let d(b) be the third derivative of -b**7/210 + 125*b**5/6 + 979*b**3/3 - 14*b**2 + 17*b - 1. Find the first derivative of d(r) wrt r.
-4*r**3 + 2500*r
Let z(p) = 33*p**2 - 159. Let r(n) = n**2 - 2. Let u be -2 - (3/(-6) - (-12)/(-24)). Let t(m) = u*z(m) - r(m). Find the first derivative of t(d) wrt d.
-68*d
Let h be 7 - (1 - (-12)/(-3)). Let y(f) = -f**2 + 13*f - 6. Let t be y(h). Differentiate -9*v - t + 12 + 10 wrt v.
-9
Suppose 84*b = 190*b. Let i(g) be the first derivative of -21 + 9/4*g**4 - 7/3*g**3 + b*g + 0*g**2. Find the third derivative of i(f) wrt f.
54
Let i(k) = -3809*k - 14399. Let v(q) = -635*q - 2400. Let j(r) = -4*i(r) + 23*v(r). What is the derivative of j(s) wrt s?
631
Let o(l) = -l**2 + 13*l - 24. Let s be o(8). What is the second derivative of 39*a**2 - s + 22*a**2 - 39*a + 16 wrt a?
122
Let x(h) = 4*h**2 + 1159*h - 1940. Let r(b) = 7*b**2 + 2317*b - 3880. Let i(g) = -6*r(g) + 11*x(g). What is the first derivative of i(y) wrt y?
4*y - 1153
Let k(z) be the second derivative of -7*z**6/30 + 32*z**4/3 + z**3/3 - 183*z**2 - 31*z - 12. Find the second derivative of k(f) wrt f.
-84*f**2 + 256
Let k be 3*((0 - 1) + (-200)/(-120)). Find the third derivative of 39*y**3 + 22*y**3 + 814*y**2 - 723*y**k + y wrt y.
366
Let j(q) = 1784*q**3 - 16*q**2 - 21*q. Let u(x) = 891*x**3 - 7*x**2 - 8*x. Let a(o) = -3*j(o) + 7*u(o). Find the third derivative of a(n) wrt n.
5310
Let c(l) be the second derivative of 669*l**5/10 + 71*l**3/2 - l**2 + 2*l + 564. What is the second derivative of c(n) wrt n?
8028*n
Let k = 10 - -49. Find the first derivative of k + 2 - 2 + 53*q - 5 wrt q.
53
Let z(s) be the third derivative of 0 - 1/120*s**6 + 5/3*s**3 + 0*s**4 - 28*s + 1/105*s**7 + 1/30*s**5 - 2*s**2. Find the third derivative of z(b) wrt b.
48*b - 6
Let x(l) = -5*l**3 + 92*l**2 - 2*l + 2189. Let f(g) = -16*g**3 + 278*g**2 - 7*g + 6559. Let v(a) = -2*f(a) + 7*x(a). What is the first derivative of v(d) wrt d?
-9*d**2 + 176*d
Suppose -10*j + 655 = -595. What is the first derivative of j*c - 10 - 26 - 26 + 17 wrt c?
125
Let y(x) be the first derivative of -134*x + 0*x**4 - 18/5*x**5 + 0*x**2 + 50 + 0*x**3. What is the first derivative of y(w) wrt w?
-72*w**3
Let m(p) = -13*p**2 - p - 1. Let y(x) = 89*x**2 - 1121*x + 4. Let c(f) = -4*m(f) - y(f). What is the second derivative of c(s) wrt s?
-74
Let z(m) be the second derivative of m**5/10 + 301*m**3/6 - 720*m**2 + 302*m + 8. What is the derivative of z(q) wrt q?
6*q**2 + 301
Let j(m) be the third derivative of -93*m**8/56 - m**4/6 - 23*m**3/6 + 88*m**2 + 7. Find the second derivative of j(g) wrt g.
-11160*g**3
Let q(h) = 320*h**2 - 44*h + 3739. Let y(x) = 23042*x**2 - 3157*x + 269206. Let b(r) = -287*q(r) + 4*y(r). Differentiate b(k) with respect to k.
656*k
Let o(a) be the first derivative of 0*a**2 - 9*a**3 - 71/5*a**5 + 0*a + 0*a**4 - 112. Find the third derivative of o(d) wrt d.
-1704*d
Let l(x) be the first derivative of -85*x**3 - 1074*x**2 + 2660. What is the second derivative of l(t) wrt t?
-510
Let a(c) = 1539*c**4 + 1663. Let b(p) = -3079*p**4 - 3325. Let u(z) = 7*a(z) + 4*b(z). What is the first derivative of u(t) wrt t?
-6172*t**3
Let w(x) = 23*x**3 - 5*x**2 - 35*x + 402. Let v(p) = 29*p**3 - 6*p**2 - 35*p + 403. Let z(y) = 5*v(y) - 6*w(y). Differentiate z(t) with respect to t.
21*t**2 + 35
Suppose 4*y = -1 + 9. Find the third derivative of 71*w**3 - 32*w**2 + 18*w**2 - 106*w**2 - 51*w**y wrt w.
426
Find the third derivative of -13 - 10 + v**3 + 33*v**2 + 6 + v**5 - 4 + 18 wrt v.
60*v**2 + 6
Let o(k) = -k**4 + 3*k**3 - 5*k**2 - 1754. Let h(m) = m**4 - 6*m**3 + 9*m**2 + 3510. Let c(s) = 5*h(s) + 9*o(s). Differentiate c(x) wrt x.
-16*x**3 - 9*x**2
Let k(j) = 636*j**3 + 3*j**2 + 3*j - 408. Let r(h) = 636*h**3 + 2*h**2 + 2*h - 407. Let y(o) = 2*k(o) - 3*r(o). What is the first derivative of y(f) wrt f?
-1908*f**2
Let b(m) be the third derivative of m**5/30 + 287*m**4/6 - 369*m**3/2 - 2012*m**2 + 2*m. What is the first derivative of b(d) wrt d?
4*d + 1148
Let a(l) = -l - 12. Suppose w - 49 = 3*f, 0 = 6*f - 4*f - 2*w + 30. Let v be a(f). Find the second derivative of v*m + 8*m - 4*m**3 - 3*m**3 + 25*m**3 wrt m.
108*m
Let r be 6*9/216*8. Let l be (0 - (1 - 3))*2. What is the second derivative of 5*i**5 + l*i**2 - i + 9*i**2 - 13*i**r wrt i?
100*i**3
Let t(j) = j**2 + 2*j + 1. Let l be 84/63*6/(-4). Let v be t(l). What is the second derivative of 52*d - 31*d - v - 11*d**5 + 1 wrt d?
-220*d**3
Let f(z) = -53*z + 14. Let i = -1235 - -1243. Let h(n) = 3 - 4*n + 39*n - 12. Let d(o) = i*h(o) + 5*f(o). Differentiate d(k) wrt k.
15
Let t be 3*(4 - (-12)/(-4)). Suppose 0 = -v + s - 2*s - 1, -t*v + 21 = -5*s. What is the derivative of -4*w + 2 + 2*w + w - v*w wrt w?
-3
Let l(h) = 1177*h**3 + 3*h**2 - 11*h - 7. Let y(p) = -2353*p**3 - 7*p**2 + 20*p + 15. Let b(a) = 7*l(a) + 3*y(a). What is the second derivative of b(v) wrt v?
7080*v
Let q(d) be the second derivative of 1553*d**4/12 + 5244*d**2 + 6080*d. Differentiate q(k) wrt k.
3106*k
Let o(r) = 116*r - 8. Let l be o(4). Suppose -9*z = -z - l. Find the first derivative of -98*p + 62*p + 26 + z*p wrt p.
21
Suppose -3*p - 3*y = -63, -p + 34*y - 30*y = -21. What is the third derivative of -18*h**2 + 41*h**5 - p*h**2 - 24*h**2 + 16*h**2 wrt h?
2460*h**2
Let a(s) = -14*s**3 + s**2 + 15*s**3 + 0*s**2 + 8*s + 6*s**2 - 5. Let d be a(-5). Find the first derivative of -11 - 3 - d*x - 3 - 15*x wrt x.
-20
Suppose -1 = 3*w + 4*i - 26, -2*i = 3*w - 23. What is the derivative of -14 - 2*g**4 - 6 + 37*g**2 + 102 + w*g**2 wrt g?
-8*g**3 + 88*g
Find the second derivative of 0*w + w - 9 + 1545*w**3 + 7*w - 4*w - 14 wrt w
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 47923*y - 72
What is the g'th term of -1580, -1938, -2308, -2696, -3108, -3550, -4028?
-g**3 - 351*g - 1228
What is the m'th term of 238126, 476372, 714622, 952876, 1191134, 1429396?
2*m**2 + 238240*m - 116
What is the z'th term of 574775, 1149539, 1724303, 2299067?
574764*z + 11
What is the o'th term of -148932, -149242, -149554, -149868, -150184?
-o**2 - 307*o - 148624
What is the g'th term of 3158708, 6317418, 9476128, 12634838, 15793548?
3158710*g - 2
What is the n'th term of 46477, 97081, 147697, 198331, 248989, 299677, 350401?
n**3 + 50597*n - 4121
What is the s'th term of -467, -643, -811, -971, -1123, -1267?
4*s**2 - 188*s - 283
What is the k'th term of 88920885, 88920883, 88920879, 88920873, 88920865, 88920855, 88920843?
-k**2 + k + 88920885
What is the y'th term of -1513, -5762, -12873, -22870, -35777, -51618, -70417?
-4*y**3 - 1407*y**2 - 102
What is the l'th term of -111915, -111940, -111981, -112038, -112111, -112200, -112305?
-8*l**2 - l - 111906
What is the p'th term of 81487974, 81487979, 81487984, 81487989, 81487994, 81487999?
5*p + 81487969
What is the t'th term of 35671808, 35671803, 35671796, 35671787?
-t**2 - 2*t + 35671811
What is the n'th term of -17851, -34873, -51905, -68953, -86023, -103121?
-n**3 + n**2 - 17018*n - 833
What is the j'th term of 724, 2033, 4184, 7153, 10916?
-4*j**3 + 445*j**2 + 2*j + 281
What is the j'th term of 466, 5354, 19910, 49378, 99002, 174026, 279694, 421250?
874*j**3 - 410*j**2 + 2
What is the z'th term of 2382, 9842, 22296, 39744, 62186?
2497*z**2 - 31*z - 84
What is the g'th term of -3224659, -6449313, -9673967, -12898621?
-3224654*g - 5
What is the a'th term of -70777, -71071, -71363, -71653?
a**2 - 297*a - 70481
What is the p'th term of -81852, -327410, -736672, -1309638?
-81852*p**2 - 2*p + 2
What is the n'th term of -153, 155, 431, 675, 887, 1067?
-16*n**2 + 356*n - 493
What is the g'th term of 3957, 5476, 6995, 8514, 10033?
1519*g + 2438
What is the o'th term of -3932, -31735, -107620, -255761, -500332?
-4029*o**3 + 133*o**2 + o - 37
What is the k'th term of -85703430, -171406860, -257110290, -342813720?
-85703430*k
What is the r'th term of 266074, 1063835, 2393436, 4254877, 6648158?
265920*r**2 + r + 153
What is the p'th term of 12820166, 51280634, 115381412, 205122500, 320503898?
12820155*p**2 + 3*p + 8
What is the a'th term of 3428787, 6857574, 10286361, 13715148?
3428787*a
What is the r'th term of 44982, 44276, 43100, 41454?
-235*r**2 - r + 45218
What is the g'th term of -320770, -641497, -962224?
-320727*g - 43
What is the i'th term of -1171661, -4687623, -10547559, -18751469?
-1171987*i**2 - i + 327
What is the p'th term of 1410, -856, -7000, -18960, -38674, -68080, -109116?
-323*p**3 - p**2 - 2*p + 1736
What is the r'th term of 1347250, 1347435, 1347620, 1347805, 1347990?
185*r + 1347065
What is the y'th term of 92087, 92007, 91883, 91715, 91503?
-22*y**2 - 14*y + 92123
What is the v'th term of 60896, 60918, 60940?
22*v + 60874
What is the j'th term of -185332, -185768, -186202, -186634, -187064, -187492, -187918?
j**2 - 439*j - 184894
What is the j'th term of 30329, 30673, 31017, 31361, 31705?
344*j + 29985
What is the t'th term of -1483, -2876, -4137, -5212, -6047?
9*t**3 + 12*t**2 - 1492*t - 12
What is the u'th term of 48300, 48365, 48474, 48627?
22*u**2 - u + 48279
What is the b'th term of -2322, -9357, -21096, -37539?
-2352*b**2 + 21*b + 9
What is the h'th term of -2206268, -2206144, -2206020?
124*h - 2206392
What is the g'th term of -902, -439, 332, 1417, 2822?
g**3 + 148*g**2 + 12*g - 1063
What is the q'th term of 2555045, 2555050, 2555055?
5*q + 2555040
What is the q'th term of 5539800, 5539777, 5539754, 5539731, 5539708?
-23*q + 5539823
What is the p'th term of -157038, -156104, -155170, -154236, -153302, -152368?
934*p - 157972
What is the n'th term of -1114, -3722, -8078, -14182, -22034, -31634?
-874*n**2 + 14*n - 254
What is the f'th term of -203814161, -203814159, -203814157, -203814155?
2*f - 203814163
What is the i'th term of -1021189, -2042394, -3063599?
-1021205*i + 16
What is the b'th term of 3642, 4275, 4934, 5631, 6378, 7187, 8070, 9039?
2*b**3 + b**2 + 616*b + 3023
What is the h'th term of -2124, -8393, -18768, -33249, -51836, -74529?
-2053*h**2 - 110*h + 39
What is the x'th term of 3917705, 3917719, 3917733?
14*x + 3917691
What is the q'th term of 10653, 21366, 32039, 42666, 53241?
-q**3 - 14*q**2 + 10762*q - 94
What is the r'th term of -1406, -371, 3102, 9013, 17362, 28149?
1219*r**2 - 2622*r - 3
What is the g'th term of -56, 832, 2280, 4288, 6856, 9984?
280*g**2 + 48*g - 384
What is the n'th term of 5441, 10949, 16483, 22055, 27677?
2*n**3 + n**2 + 5491*n - 53
What is the w'th term of -97, -749, -1837, -3361, -5321?
-218*w**2 + 2*w + 119
What is the s'th term of 14456237, 28912472, 43368707, 57824942, 72281177?
14456235*s + 2
What is the b'th term of 2246, 1112, -22, -1156?
-1134*b + 3380
What is the p'th term of 727529, 727610, 727743, 727928, 728165, 728454?
26*p**2 + 3*p + 727500
What is the v'th term of -6572434, -6572438, -6572452, -6572482, -6572534, -6572614, -6572728?
-v**3 + v**2 - 6572434
What is the u'th term of 6496, 18928, 31364, 43804, 56248, 68696?
2*u**2 + 12426*u - 5932
What is the y'th term of 41422, 82236, 123048, 163858?
-y**2 + 40817*y + 606
What is the h'th term of 2771, 5593, 8413, 11231, 14047?
-h**2 + 2825*h - 53
What is the b'th term of -300958, -301009, -301060, -301111?
-51*b - 300907
What is the k'th term of -1865365, -3730715, -5596019, -7461253, -9326393, -11191415, -13056295?
4*k**3 - k**2 - 1865375*k + 7
What is the r'th term of -56789, -56678, -56567, -56456?
111*r - 56900
What is the s'th term of 269106, 542853, 816600, 1090347, 1364094?
273747*s - 4641
What is the k'th term of -13950, -27817, -41650, -55449?
17*k**2 - 13918*k - 49
What is the d'th term of 1242537, 4970153, 11182843, 19880607?
1242537*d**2 + 5*d - 5
What is the i'th term of -13148, -105268, -355308, -842228, -1644988, -2842548?
-13160*i**3 + 12
What is the w'th term of -8542, -7772, -6480, -4666, -2330, 528?
261*w**2 - 13*w - 8790
What is the a'th term of -624, -5220, -17524, -41334, -80448?
-633*a**3 - 56*a**2 + 3*a + 62
What is the x'th term of -236982, -473418, -709856, -946296, -1182738?
-x**2 - 236433*x - 548
What is the v'th term of -10762, -20723, -37318, -60541, -90386?
v**3 - 3323*v**2 + v - 7441
What is the l'th term of -25900, -53393, -84066, -119509, -161312, -211065, -270358?
-265*l**3 - 25638*l + 3
What is the j'th term of 182, 1064, 3268, 7418, 14138, 24052, 37784?
104*j**3 + 37*j**2 + 43*j - 2
What is the y'th term of 14171, 28546, 43119, 57890, 72859?
99*y**2 + 14078*y - 6
What is the v'th term of 220564, 441123, 661674, 882217, 1102752, 1323279?
-4*v**2 + 220571*v - 3
What is the w'th term of 44208039, 88416075, 132624111, 176832147, 221040183, 265248219?
44208036*w + 3
What is the n'th term of 2016, -1698, -5422, -9156, -12900?
-5*n**2 - 3699*n + 5720
What is the c'th term of 192937, 387147, 581357?
194210*c - 1273
What is the x'th term of -277890, -273496, -266172, -255918, -242734, -226620, -207576?
1465*x**2 - x - 279354
What is the y'th term of 222008, 444140, 666394, 888770, 1111268, 1333888?
61*y**2 + 221949*y - 2
What is the q'th term of -34874840, -34874836, -34874832?
4*q - 34874844
What is the s'th term of -8231, -7686, -7141, -6596, -6051?
545*s - 8776
What is the u'th term of -12304, -14894, -17518, -20194, -22940, -25774, -28714?
-3*u**3 + u**2 - 2572*u - 9730
What is the x'th term of 2414, 5117, 8136, 11471, 15122?
158*x**2 + 2229*x + 27
What is the p'th term of -53802, -53828, -53852, -53874, -53894, -53912, -53928?
p**2 - 29*p - 53774
What is the q'th term of 753, 2995, 6709, 11883, 18505, 26563, 36045, 46939?
-2*q**3 + 748*q**2 + 12*q - 5
What is the l'th term of 208, 1233, 2788, 4873, 7488, 10633?
265*l**2 + 230*l - 287
What is the q'th term of 32563, 65117, 97651, 130159, 162635, 195073?
-q**3 - 4*q**2 + 32573*q - 5
What is the t'th term of -430872, -1723424, -3877554, -6893160, -10770140?
17*t**3 - 430891*t**2 + 2*t
What is the w'th term of -27537, -25328, -23119, -20910, -18701?
2209*w - 29746
What is the t'th term of -220766, -214950, -209134, -203318, -197502?
5816*t - 226582
What is the u'th term of -
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{
"pile_set_name": "DM Mathematics"
}
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+ 8*k**2 - 47*k + 37. Let z(u) = h(u) + p(u). Factor z(o).
3*(o - 2)*(o - 1)*(o + 6)
Let x = -1155/194 - -626/97. Determine q so that -9/2*q + 0 - x*q**4 - 3/2*q**2 + 5/2*q**3 = 0.
-1, 0, 3
Suppose 2*k + 56 = 6*k. Suppose 6*v - k = -v. Factor -18*w - 12 + 0 + 0 - v*w + 8*w**2.
4*(w - 3)*(2*w + 1)
Solve -5489*b + 24 - 5*b**4 + 10*b**2 + 23*b**2 + 2*b**4 + 5435*b = 0.
-4, 1, 2
Let q(b) be the second derivative of -b**5/100 - b**4/6 - 2*b**3/5 + 36*b**2/5 - 65*b. Factor q(l).
-(l - 2)*(l + 6)**2/5
Let b = 245 + -242. Let d(x) be the third derivative of -3*x**2 + 0 + 0*x**4 + 0*x - 4/27*x**b + 1/270*x**5. Determine i, given that d(i) = 0.
-2, 2
Let i = 5 + -8. Let d = 9 - i. Factor -5 + 4*l**3 + d*l - 18*l**2 + l**3 + 13 + 0*l**3.
(l - 2)**2*(5*l + 2)
Let z(s) be the first derivative of 5*s**8/336 - s**7/21 + s**5/6 - 5*s**4/24 + 12*s**2 - 2. Let h(o) be the second derivative of z(o). Factor h(g).
5*g*(g - 1)**3*(g + 1)
Let n = -1613848/435 + 3710. Let i = 1154/1305 + n. Factor 8/9*g + 2/9*g**2 + i.
2*(g + 2)**2/9
Let j(r) = 5*r - 98. Let b be j(20). Let t(d) be the first derivative of 4 - b*d + 4/3*d**3 - d**2. Factor t(m).
2*(m - 1)*(2*m + 1)
Let i(k) be the second derivative of -k**7/168 - k**6/12 - 11*k**5/80 + 41*k**4/24 + k**3/2 - 9*k**2 + 34*k. What is v in i(v) = 0?
-6, -1, 1, 2
Determine z, given that -11*z**5 + 34*z**5 - 18*z**5 + 60*z**2 + 45*z**4 + 100*z**3 = 0.
-6, -2, -1, 0
Let q be (-11900)/(-39375) - (46/(-50) + 1). Factor -8/9*i**4 + q*i**5 + 4/9 + 8/9*i**3 + 4/9*i**2 - 10/9*i.
2*(i - 2)*(i - 1)**3*(i + 1)/9
Let f = 1635 + -11427/7. Find p such that -3/7*p + 0 - f*p**3 + 12/7*p**4 + 12/7*p**2 - 3/7*p**5 = 0.
0, 1
Let d(o) = 14*o**2 + 44*o + 38. Let k(f) = 9*f**2 + 29*f + 25. Let j = 22 - 27. Let l(y) = j*d(y) + 8*k(y). Factor l(n).
2*(n + 1)*(n + 5)
Let b(g) be the first derivative of 7 - 7/24*g**4 - 11/12*g**3 - g - 1/2*g**2 + 1/2*g**5. Let w(p) be the first derivative of b(p). Factor w(x).
(x - 1)*(4*x + 1)*(5*x + 2)/2
Let n(o) be the second derivative of o**4/24 + 7*o**3/12 + 3*o**2 - 120*o. Find r such that n(r) = 0.
-4, -3
Suppose -6*p + 2*p = -16. Suppose p*w + w = 0. Factor w*i + 0*i**2 - 12*i**3 - i - 3*i - 16*i**2.
-4*i*(i + 1)*(3*i + 1)
Let r(n) be the first derivative of -7 + 3/14*n**4 + 0*n - 1/7*n**3 - 3/35*n**5 + 0*n**2. Factor r(c).
-3*c**2*(c - 1)**2/7
Suppose z - 7 + 2 = 0. Let g be (20/8)/((-15)/(-6)) - -3. Suppose 1/8*j**3 - 1/8*j**z + 0*j + 0 + 1/4*j**2 - 1/4*j**g = 0. What is j?
-2, -1, 0, 1
Factor 2/5*y**2 - 22/5*y + 0.
2*y*(y - 11)/5
Let k(q) be the third derivative of q**8/168 - q**7/35 - 2*q**6/15 + 4*q**5/5 + 4*q**4/3 - 16*q**3 - 496*q**2. Solve k(v) = 0.
-2, 2, 3
Suppose 62*d = 64*d - 14. Let t(g) be the second derivative of -2*g**3 + 1/10*g**6 + 0*g**4 + d*g + 0 + 9/20*g**5 + 0*g**2. Factor t(w).
3*w*(w - 1)*(w + 2)**2
Let x = 295 + -291. Let i(s) be the second derivative of 1/72*s**x - 1/180*s**6 - 1/36*s**3 + 3*s + 1/120*s**5 + 0 + 0*s**2. Factor i(u).
-u*(u - 1)**2*(u + 1)/6
Determine m so that 3/8*m**5 - 3/2*m**4 - 9/8*m + 0 + 3/4*m**3 + 3/2*m**2 = 0.
-1, 0, 1, 3
Let b(o) be the first derivative of o**4/16 - 3*o**3/2 - 39*o**2/8 - 5*o + 103. Find l such that b(l) = 0.
-1, 20
Suppose 1661 = 5*a + 16. Solve 165*w**2 - 4*w**3 - 2*w**5 - a*w**2 + 164*w**2 - 6*w**4 = 0 for w.
-2, -1, 0
Let s(v) be the second derivative of -v**6/72 + v**5/4 - 15*v**4/8 + 2*v**3 + 6*v. Let g(k) be the second derivative of s(k). Factor g(b).
-5*(b - 3)**2
Let b(f) be the first derivative of -3*f**2 + 0*f + f**3 - 3 + 9/4*f**4. Let v(m) = 17*m**3 + 5*m**2 - 11*m. Let w(r) = 11*b(r) - 6*v(r). Factor w(z).
-3*z**2*(z - 1)
Let c(s) be the second derivative of -s**4/36 - 23*s**3/18 - 7*s**2 - 625*s. What is w in c(w) = 0?
-21, -2
Solve 0*p**3 + 9*p**3 + 15*p**4 - 13*p**4 - p**3 + 6*p**3 = 0 for p.
-7, 0
Let a(g) be the first derivative of 2*g**5/3 + 59*g**4/24 + 19*g**3/6 + 17*g**2/12 - g/6 - 97. Let a(d) = 0. Calculate d.
-1, 1/20
Let c = 32 - 30. Suppose 4*s - 6 = c. Factor 4*g + 4*g**3 + 0 + 6*g**s + 0 - 2*g**3.
2*g*(g + 1)*(g + 2)
Let o(r) = -r**3 + 8*r**2 - 6*r - 4. Let z be o(7). What is y in -2*y**4 - 2*y**3 - 3*y**4 + 2*y**2 + 2*y**5 + z*y**4 = 0?
-1, 0, 1
Let p = -43233/5 - -8647. Factor -2/5*c**2 + p*c**3 + 0*c + 0.
2*c**2*(c - 1)/5
Let g(v) be the first derivative of -v**6/45 - v**5/30 + v**4/9 - 5*v - 10. Let h(x) be the first derivative of g(x). Determine u, given that h(u) = 0.
-2, 0, 1
Factor 0 + 20/7*q**2 - 12/7*q - 4/7*q**4 - 4/7*q**3.
-4*q*(q - 1)**2*(q + 3)/7
Let a(k) = -k**3 + 8*k**2 - 22*k - 4. Let f(n) = -n**2 + n - 2. Let h(i) = a(i) - 2*f(i). Suppose h(c) = 0. What is c?
0, 4, 6
Let v = -24572 - -24577. Factor -3/7*r**4 - 1/7*r**v + 0*r + 0 - 2/7*r**3 + 0*r**2.
-r**3*(r + 1)*(r + 2)/7
Suppose -5*q + 10 = 30. Let c(o) = 6*o**2 + 6*o. Let b(r) = -3*r - 7*r**2 + 3*r - 7*r. Let d(k) = q*b(k) - 5*c(k). Factor d(l).
-2*l*(l + 1)
Factor 0*n - 1/6*n**4 + 0 - 7/6*n**3 - 5/3*n**2.
-n**2*(n + 2)*(n + 5)/6
Factor -3/2*h**2 + 0 - 6*h.
-3*h*(h + 4)/2
Let m(s) be the third derivative of -s**8/70560 - s**7/17640 + s**5/4 - 16*s**2. Let i(n) be the third derivative of m(n). Factor i(g).
-2*g*(g + 1)/7
Factor 2/9*c**2 + 2/9*c**4 + 0 + 0*c + 4/9*c**3.
2*c**2*(c + 1)**2/9
Let l be 1*(-13 - (0 - 8) - 150/(-26)). Factor 4/13 - 2/13*n**4 - l*n + 2/13*n**3 + 6/13*n**2.
-2*(n - 1)**3*(n + 2)/13
Let f = 283 - 286. Let k be f/(-8)*3*4/9. Determine x so that -1/2*x**2 + x - k = 0.
1
Let t = 14 - 4. Suppose -5*g = t, -g = v + 4*g + 8. Factor 3*u**2 + 1 - 2*u**2 + v*u + 0*u**2.
(u + 1)**2
Let l = 2/5083 + 20326/15249. Let v(y) be the second derivative of -6*y + 0 + l*y**3 + 1/20*y**5 + 5/12*y**4 + 2*y**2. What is p in v(p) = 0?
-2, -1
Suppose 52*w = 7182 - 2190. Determine s, given that 3/2*s**2 + w + 24*s = 0.
-8
Let d(l) = -15*l**4 + 55*l**3 + 235*l**2 + 255*l + 90. Let r(q) = 23*q**4 - 82*q**3 - 352*q**2 - 382*q - 135. Let j(t) = 8*d(t) + 5*r(t). Factor j(u).
-5*(u - 9)*(u + 1)**3
Suppose 5*y + m = 16, -4*y - 49*m + 14 = -47*m. Factor 4/5*z**2 + 0 + 0*z - 2/5*z**y.
-2*z**2*(z - 2)/5
Let b(v) be the first derivative of -v**5/30 + v**3/6 + v**2/6 + 8. Determine w, given that b(w) = 0.
-1, 0, 2
Let j be 48/(-120)*(-2 + 16/(-2)). Let v(o) be the first derivative of 0*o + 0*o**2 - o**j + 8/3*o**3 + 8. Factor v(d).
-4*d**2*(d - 2)
Suppose 3*b = 5*u - 9, -3*u - 5*b - 49 = -34. Factor -4/13*t**3 - 2/13*t**2 + 4/13*t + u + 2/13*t**4.
2*t*(t - 2)*(t - 1)*(t + 1)/13
Suppose -272*q + 4 = -270*q. Let g(y) be the first derivative of 9*y**2 - 21/8*y**4 + 6*y - q - 9/2*y**3. Let g(a) = 0. What is a?
-2, -2/7, 1
Let u(m) be the third derivative of m**7/1260 - m**6/135 + m**5/45 - 7*m**3/6 - m**2. Let s(x) be the first derivative of u(x). Solve s(d) = 0 for d.
0, 2
Let c(a) be the first derivative of 7/5*a**5 + 8*a**2 - 13 + 1/6*a**6 + 19/4*a**4 + 25/3*a**3 + 4*a. Determine d so that c(d) = 0.
-2, -1
Let u be ((-272)/184)/17*-23. Factor 2/9*g**3 - 2/9*g**u + 1/9*g**4 - 1/9*g - 1/9*g**5 + 1/9.
-(g - 1)**3*(g + 1)**2/9
Let c(n) = 21*n**2 - 9*n - 4. Let x = 69 + -43. Let s = 52 - x. Let p(h) = 5*h**2 - 2*h - 1. Let y(l) = s*p(l) - 6*c(l). Determine i, given that y(i) = 0.
-1, 1/2
Let r be ((-39)/9 - 1)*(-9)/6. Solve -4*i**5 - r*i**4 - 28*i**3 + 16*i**4 + 16*i**2 + 8*i**5 = 0.
-4, 0, 1
Let u(i) = 327*i - 19618. Let y be u(60). Determine o so that 1/3*o**y - o - 4/3 = 0.
-1, 4
Suppose 0 = -5*p + 5*v + 15, v = -0*v. Determine l so that 3 + 0*l**3 + 0*l**3 - l**p - 7*l - 3*l**2 + 8*l**2 = 0.
1, 3
Suppose -9*q + 94 - 31 = 0. Let o(t) be the second derivative of t**4 - 4/15*t**6 + 1/7*t**q + 7*t + 1/3*t**3 - 2*t**2 - 2/5*t**5 + 0. Let o(i) = 0. What is i?
-1, -2/3, 1
Let c = -6773 + 27137/4. Factor -3/2*p**3 - 69/8*p**2 - c*p + 27/8.
-3*(p + 3)**2*(4*p - 1)/8
Factor 60*w**3 - 440*w + 4*w**4 - 72*w**3 + 488*w - 16*w**2.
4*w*(w - 3)*(w - 2)*(w + 2)
Let h be 85/21 - (5 + -2 + 1). Let v(t) be the first derivative of 2/7*t**2 + 1 - 3/7*t - h*t**3. Suppose v(u) = 0. What is u?
1, 3
Solve 200/3*z + 5000/3 + 2/3*z**2 = 0 for z.
-50
Let n(t) = -5*t**2 + 117*t - 100. Let u(m) = -15*m**2 + 352*m - 295. Let r(p) = 7*n(p) - 2*u(p). Factor r(x).
-5*(x - 22)*(x - 1)
Let o(l) = l**3 + 5*l - 9. Let v be o(0). Let n be (-33)/v + (-11 - -8). Factor 0 - 8/3*w + n*w**2.
2*w*
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{
"pile_set_name": "DM Mathematics"
}
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1)/w))**(7/2))**22)**(-2/17) assuming w is positive.
w**(-48/17)
Simplify (((m**3*m*m)/m)**(-14/11))**(-36)*(m/((m/m**(6/5))/m))/(m**(-8)/m)*(m**(-1/4))**45 assuming m is positive.
m**(40309/220)
Simplify ((v*v/v**(-10)*v*v**(1/15)*v*v**(-8)/(v*v*v**(2/3)/v*v*v))**(4/25))**(3/2) assuming v is positive.
v**(72/125)
Simplify (j**(-1/9)*j/(j/((j**(2/3)*j)/j))*j)/(j/(j/(j/(j*j/j**(2/9))))*j**(2/17))*((j**(-1/2))**(-11/3))**(-29) assuming j is positive.
j**(-5197/102)
Simplify (j**(1/4))**(-3/2)/(j/(j*j**(1/2))*j**(2/11))*((j/(j/(j/(j**2/j*j)))*j)/(j*(j/j**(-5))/j))**(-4/19) assuming j is positive.
j**(2017/1672)
Simplify (g**41*g**23*(g*((g/g**36*g)/g)/g)/(g/g**(-43)))**48 assuming g is positive.
g**(-720)
Simplify (v**(-1/2))**40/(v/v**(2/5))**(-1/4)*(v**(-7)*v/(v**(1/14)*v*v)*v)**(-5) assuming v is positive.
v**(2171/140)
Simplify (((b**2/b)/b**(-1/2)*b*b**(1/3)*b*b**(-2/3)*b)**(-1/29))**36 assuming b is positive.
b**(-150/29)
Simplify r*r*r*r/(r/(r*r/(r/(r*r**(1/5)/r))))*r*r*r**5*r/r**(-4/3)*r*r**(1/2)/r*((r/r**0)/r)/(r/r**(-4))*r/(r/(r**(1/6)/r))*r*r/r**(-9) assuming r is positive.
r**(96/5)
Simplify ((o**29*o**(-6/13))/(o/o**6*o)**(-1/22))**(2/3) assuming o is positive.
o**(8110/429)
Simplify ((i**(-2)*i*i**9*i)/(i**(6/7)*i*i**25))**(-1/53) assuming i is positive.
i**(125/371)
Simplify (((x**(-2)/x**(-11))**(3/50))**(12/11))**(2/9) assuming x is positive.
x**(36/275)
Simplify ((r/r**(1/4))**30)**(-1/22)/((r/r**0)**(-1/2)*(r**(-1/3)*r)**(-1/8)) assuming r is positive.
r**(-29/66)
Simplify ((q/((q/q**(19/2))/q))/(q**(4/27)*q))/(q/(q/q**34))**(-36) assuming q is positive.
q**(66601/54)
Simplify d**(1/6)/(d/(d**(-1/5)*d)*d)*(d**(-1/4))**27*((d**(1/2)*d)**(-1/5))**(-6/17) assuming d is positive.
d**(-7831/1020)
Simplify ((i/((i*i**(-2)*i*i)/i))**(-2/33)*i*i**(-3/2)*i/((i**2/i*i)/i)*i)/((i**4*(i*i/i**(1/4))/i)/((i*i**(2/13))/i**1)) assuming i is positive.
i**(-7133/1716)
Simplify (l/(((l/(((l**(-12)*l)/l*l)/l))/l)/l)*l**47/l)/(l/(l*l/l**(-42)))**(1/25) assuming l is positive.
l**(943/25)
Simplify ((c**(2/7))**3/(c/c**(-1))**(-2/3))/((c/(c*c**1*c))**(-3/26))**43 assuming c is positive.
c**(-2111/273)
Simplify (v**(-2/7))**(-8)/(v**(1/5)*(v*v**(-4))/v)*v**(-1/7)/v*v*v**(-1)*v**(-3)/v*v**(2/7) assuming v is positive.
v**(43/35)
Simplify ((j**(24/11))**(4/3)/(j**21*j)**19)**(-4) assuming j is positive.
j**(18264/11)
Simplify ((f**(-2/3)/f)**(-2/17))**(-2/121)/((f*f**(-1/2))**10)**(1/10) assuming f is positive.
f**(-6211/12342)
Simplify ((w/w**(-2/3)*w)**36/((w**(-2/11)*w*w*w)/(w/w**(1/4))))/((w**(-1/4)/((w/w**(-1/2))/w))/(w**(2/3)/(w**(-5/4)/w))) assuming w is positive.
w**(12883/132)
Simplify ((x**(-2/11))**(-15)/(x**(-6)*x)**(-2))**31 assuming x is positive.
x**(-2480/11)
Simplify (((l**(-3)/(l/((l**(2/5)*l)/l*l)))/(((((l**4*l)/l)/l)/l)/l**(-3/2)))**(-9/4))**22 assuming l is positive.
l**(6039/20)
Simplify (k**(-1/4)*k**(-4)*k)**(-19)*((k**2*k)**(-19))**(-29) assuming k is positive.
k**(6859/4)
Simplify (((c*c/(c/c**(5/6))*c)/c)/c*c/(c**(1/5)*c)*c*c**(-8)/c**10)**(3/2) assuming c is positive.
c**(-491/20)
Simplify (i**4/(i**(-2)*i*i))**(-11/4)*(i/i**8*i/i**9*i)**(-1/5) assuming i is positive.
i**(-41/5)
Simplify ((i*(i*i/(i/i**(1/8)))/i*i*i)/((((i/i**21)/i)/i)/i*i)*i**(2/11)*i**(-4))**(2/9) assuming i is positive.
i**(625/132)
Simplify ((((j/((j**13*j)/j)*j)/j)/j)/(j/j**(-1/38)))/(j**34/j**35) assuming j is positive.
j**(-495/38)
Simplify ((i*i/((i**(-9)/i)/i)*i)**(23/6)/(i*(i*(i**7/i)/i)/i*i**(8/3)))**46 assuming i is positive.
i**2070
Simplify ((g**(-2/3))**6/(((g**3*g)/g)/(g**3*g)))/(g**3/(g*g/(g**0*g*g*g*g))*(g**(2/19)/g)/(g**(-5)*g)) assuming g is positive.
g**(-211/19)
Simplify ((u/((u*u**(-1))/u))**(-1/3))**14/(u**(4/5)*((u*u/u**(-8))/u)/u*((u*u*u**(1/3))/u*u)/(u/(u**(-6)/u))) assuming u is positive.
u**(-187/15)
Simplify (k/(k**(5/3)*k*k)*k/(k/(k*(k/((k**(1/13)/k*k)/k*k))/k*k*k))*k**10*k/k**(-1/7))**(2/85) assuming k is positive.
k**(6224/23205)
Simplify (((z/z**0)/z*z*z/(z/z**(2/5)))/(z*z**(-1))**(-1/14))/(z**(-1/5)*z**(-1/8)*(z*z**(-1)*z*z)**45) assuming z is positive.
z**(-3531/40)
Simplify (k**(2/11)*k*k*k**6*k*k*k**3/k*(k**(-1/11)*k)/k)/((k*k**(-3)*k/(k/(k**(-2/3)*k*k)))/(k**(-4)*((k/(k*k**(-4)))/k)/k)) assuming k is positive.
k**(355/33)
Simplify (q/(q/(q**(-37)/q*q*q)*q)*q**(-36)*q/q**16*q**39*q)**(-26) assuming q is positive.
q**1248
Simplify (((t*t**(1/2)*t*t)/t)**(2/63)*(t**(-1/5))**(-17))**(-22) assuming t is positive.
t**(-24112/315)
Simplify (b**0*b**(1/2))**(-19)/(((b/(b/(b*b/(b**2*b))))/(b*(b/(b*(b/b**1)/b*b))/b))/(b**0*b**4)) assuming b is positive.
b**(-9/2)
Simplify ((t*(t**(-6)*t)/t)**(3/13)/(t**(-19)/(t/(t*(t**(-8/5)/t)/t))))**(-3/7) assuming t is positive.
t**(-4182/455)
Simplify ((z**(1/8))**(-46)*(z*z**(-5)*z)**(-3/20))**(-38) assuming z is positive.
z**(1007/5)
Simplify (((f**(-2)*f)/(f*f/f**(1/8)*f*f))/((f*(f*f**(14/5))/f)/(f/f**(5/3))))**(-2) assuming f is positive.
f**(1121/60)
Simplify y/(y/y**(1/4))*y**(-6)*(y/((y/(y/y**(-3)))/y))/y*(y*y**(-2/7))/y*((y*y*(y**(-2)*y)/y)**(-11))**(-16) assuming y is positive.
y**(-57/28)
Simplify ((n**(2/3))**(-36)/((n*n**(-7))/(n/((n**9/n)/n))))/(((n**2/n)/n)**(2/15)/(((n/n**(2/7))/n)/n*n)**(-4/15)) assuming n is positive.
n**(-2512/105)
Simplify (o**(-1/6)/o*o**(1/12)*(o**(-1))**(-39))/((o/(o/(o/o**(-4/5)*o*o)))/(o/(o**(7/2)/o)))**(-30) assuming o is positive.
o**(2363/12)
Simplify (d*d*(d/(d/(d*(d*d*d*(d*d/(d/(d*(d**39*d)/d))*d)/d*d)/d)*d)*d)/d)**(-2/3)*(d*d/d**(-1/68))**(-14/3) assuming d is positive.
d**(-4087/102)
Simplify (l**(4/3)*l*l/(l/(l/(l*l**(-27))))*(l**(-12)*l)**17)**(1/4) assuming l is positive.
l**(-473/12)
Simplify ((d*(d/d**(1/3))/d)/(d/d**(-4))*d/(d**(-4)*d*d)*d**(-1/2))/(d/(d*(d**(-3)/d)/d*d)*d**(-1)*(d*d*d/(d*d**(1/4)))/(d**(-2)/d*d*d)) assuming d is positive.
d**(-91/12)
Simplify (o**(-2/43)*o*o**11*o*o**(-1/4)*o*o**(-11)*o)**37 assuming o is positive.
o**(23569/172)
Simplify ((n/n**(-6)*n*n)/n**(-11)*(n*n**(-16))/n**2)**2 assuming n is positive.
n**6
Simplify (((n/(n*n**(-2/23)*n*n)*n**(-4))/((n**(-1/8)*n)/n**(1/5)))**(-4/11))**45 assuming n is positive.
n**(4959/46)
Simplify ((h*h**(-1/3))/((h/(h*h**(-24)/h))/h))/((h**(-11/5)/h)/h*h)**(-3/19) assuming h is positive.
h**(-6794/285)
Simplify (o**(5/4)/o*o*o)/(o*o**(-2/53))*o*o**(-1)*o*o*(o**(-15/2)*o)/o assuming o is positive.
o**(-893/212)
Simplify ((w*w**0/w)**19)**(-2)/(w**(-3)/w*w**(-7/2))**(-2/53) assuming w is positive.
w**(-15/53)
Simplify g**(2/15)/(g*g**1)*(g**1/g)**(-2/19)*((g**1)**(-3/4))**(2/5) assuming g is positive.
g**(-13/6)
Simplify ((p**4*p*p/(p/((p/p**9)/p)))/((p*p**5)/p*p*p**(-1/6)/p))/(p**4*p/(p*p/p**11)*p)**34 assuming p is positive.
p**(-3113/6)
Simplify ((v**1)**0)**(2/67)*(v*v**2*v/(v/(v*v*v**7/v*v*v*v))*v*v)**(2/29) assuming v is positive.
v**(32/29)
Simplify ((l**(-3))**(-9)/((l**(-4/15)*l)/l**(-2/3)))**(-29) assuming l is positive.
l**(-3712/5)
Simplify (t/t**(1/9))/t*t*t*t*(t/((t**30/t)/t))/t*t*t**(-13)*t*t/t**(-16)*t assuming t is positive.
t**(-163/9)
Simplify ((l/l**(-2))**(-28)*l**3*l**6)/((l**0)**(-14)*((l*l*(l*l**(1/4))/l*l)/l)**(-48)) assuming l is positive.
l**33
Simplify (q**(-13)*q**26)/((q*q*q**43)/q)**31 assuming q is positive.
q**(-1351)
Simplify (g**1)**(-1/12)*((g/(g**(-1)/g)*g)/g)**4*((g*g**10)/g*g*g**(-5))**(-1) assuming g is positive.
g**(71/12)
Simplify ((k**4*k**(-1)/k)/(k**(-1/4))**(-27))/((k/((k**(2/5)*k)/k)*k*k)**(-8)/(k**(-4/7)/k**(-4))) assuming k is positive.
k**(2727/140)
Simplify (p**2/p**(-3))/((p/((p/((p*p/(p/(p*p*p*p/(p*p**(2/7)*p))*p))/p))/p))/p**(-4))*(p**(-2))**38*(p/p**(2/15)*p*p*p)/p*p**(-9/5) assuming p is positive.
p**(-7943/105)
Simplify ((h**(2/7))**(-21)/((h*(h/h**(2/5)*h*h)/h*h)/((h*h**(-6)*h*h)/h)))/(h/(h*h/(h/(h**(-5)/h))*h)*h**7*h)**(32/5) assuming h is positive.
h**(-484/5)
Simplify (p**(2/21)/(p**(-4/17)*p)*(p*((p**(-6)/p)/p)/p)**28)**(5/7) assuming p is positive.
p**(-401035/2499)
Simplify ((u**(4/9)*u)**(-23/5)/((u**(-4)/u)/u)**(1/21))**(-9) assuming u is positive.
u**(2003/35)
Simplify ((g*(g*g**(-1/5)*g)/g)/(g/(g**6/g)))**(-44)/(g**(-2)/(g*g**5*g)*(g*g**(1/2))/(g*g**(-1/12))) assuming g is positive.
g**(-14807/60)
Simplify (q**(1/4))**3*(q**(1/2)/q)/q**(-6)*((q/(q**8*q))/(q*q/q**(1/6)))**33 assuming q is positive.
q**(-1273/4)
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3 = -5*j - u for j.
-1
Suppose -49 = 5*w + c - 163, w = c + 24. Solve -w = -5*h + k, -h = h - 3*k - 4 for h.
5
Let w(n) = n**3 + 8*n**2 + 12*n + 7. Suppose -5*b - 45 = -3*s, 3*s - 9 = 6. Let q be w(b). Solve -2*y = 5*l - 27, -l - q*y = -2*y - 10 for l.
5
Let b be -2 + (-1 - -9 - 2). Suppose -10 + 131 = 11*s. Suppose -j + s = 2*j + 5*q, 3*j = -3*q + 9. Solve 0 = z, -b*z = j*c - 5 - 3 for c.
4
Suppose -2*a + 5 + 11 = 0. Suppose 4*v + 7 = -1, 4*p + a = -4*v. Let n be (-28 - (-53 + 31))/((-4)/10). Solve p = -w + 6*w - n, -5*i - 3*w = -14 for i.
1
Let d(s) = -2 - s + 1 + 0*s. Let h be d(-6). Suppose -37*k + 41*k = -l + 25, 0 = 4*l + 12. Solve j = 5*t + 6, -2*t - 17 = h*j + k for t.
-2
Let h = -29 - -29. Suppose -7*j + 14 = -h*j. Solve -j*s + 5*y + 9 = -5*s, -19 = -5*s + 3*y for s.
2
Suppose -2 = -2*c - 0*b - 2*b, -3*c - 2*b + 2 = 0. Suppose s + c*s - 4 = 0. Let w be 1/(-1) - (-48)/4. Solve 6*x - 2*x + 12 = 0, x = -s*h - w for h.
-2
Suppose 0 = 3*k + 10*k - 39. Solve -t + 2*i + 8 = -5*t, t = k*i - 16 for t.
-4
Suppose -2*n - 3*n = -20. Let h be 21/n - 1/4. Solve -z = -0*v + 2*v + 10, -5*v + h*z = 10 for v.
-4
Let a(q) = 138*q - 1081. Let s be a(8). Solve -2*n - v = -3 + 1, -5*v + s = -3*n for n.
-1
Suppose 8*k = -8*k + 144. Let m(g) = -g**3 + 5*g**2 + 3*g - 5. Let c be m(4). Solve -3*p = k, -b = 3*b - 5*p - c for b.
2
Suppose 0 = d - 3*o - 3, -5*d = -2*o + 6*o - 34. Solve -3*m = -5*v - d + 2, -4*m - 2*v = -14 for m.
3
Suppose 4*j - 4*m + 15 = 5*j, -5*j + m = -12. Suppose -10 = -2*d - c, -j*c + c = 2*d - 10. Let y = 4 - -1. Solve 0*h - 5*w = -2*h - 33, -d = y*h + 3*w for h.
-4
Let w be (4 - 40)/(6/(-4)) - 4. Suppose -16 = -4*m + w. Solve 3*s - 23 = 2*s + 5*a, 0 = s + 3*a + m for s.
3
Let t be 35/21 - (-84)/9. Let m(j) = j - 7. Let k be m(t). Solve k*o = 3*z + 16, 0 = 4*o - 9*o - 2*z - 3 for o.
1
Let g = 23 + -19. Suppose 0 = 3*d + 4*i - 6*i + 2, -2*i = -2*d - 4. Let c be 8/(-16) + 41/d. Solve 0 = -4*w - g*l + c, 4*w - 5*l - 8 + 33 = 0 for w.
0
Let m be (1 - 0) + 74/2. Let g = m - 34. Solve -8 + 1 = -g*a + h, 3*h = -3*a + 9 for a.
2
Suppose -4*m - 43 = -15. Let p = m - -11. Suppose 22*d = -21*d + 215. Solve -d*f + 26 = p*x - 10, -5*x = 3*f - 32 for f.
4
Let i(l) = l**2 + 18*l + 4. Let s be i(-18). Solve -3*m + 7*m + 3*p = 15, 5*m = s*p + 11 for m.
3
Let z = -68 - -73. Suppose -5*i + 14 + 11 = 4*h, 25 = z*i. Solve -f + 4*p - 17 = h, 5*f - 6*p + 37 = -2*p for f.
-5
Let j = -282 + 284. Solve 0 = j*u - n - 3 + 7, 0 = 2*u + n for u.
-1
Let g(u) = -u**2 + 4. Let a = 0 - 0. Let k be g(a). Let s(l) = -l**3 + 37*l + 3. Let w be s(0). Solve v + 10 = -5*c, 22 = -k*v - v + w*c for v.
-5
Let n be (3 - 5) + 1 + (-30 - 0). Let v = -29 - n. Solve -y - 5*j = 1, v*y + 2 = -0*y - 2*j for y.
-1
Let w = 17 + -16. Suppose -2*g + 11 = -w. Let u be (8/g)/(2/3). Solve 0 = -3*y + 4*r - 8, -5*r = -u*r + 3 for y.
-4
Suppose 3*i - 14*t - 22 = -12*t, -2*i = 5*t - 2. Solve -s - i - 4 = 4*x, -2*s = -4*x - 4 for x.
-2
Let v be 1 + (-14)/21*6. Let d(o) = -3*o - 1. Let z(j) = 2*j + 1. Let i(u) = -2*d(u) - 5*z(u). Let f be i(v). Solve 0*b + 3*b + f = 0, 21 = -5*c - 2*b for c.
-3
Suppose -5*h + 3*l + 4 + 5 = 0, 4*l - 20 = -4*h. Suppose h*g + 4 - 1 = 0, -5*g = -4*f + 45. Solve -5*j + 5*k = f, -2*j = k - 4*k + 3 for j.
-3
Suppose -4*c - 3*y = 48, 2*c - 7*c + 4*y - 29 = 0. Let p = c + 13. Solve -d - 5*f = 8, p*d + f = 2*d - 7 for d.
-3
Suppose 102*i - 224 = 70*i. Solve -i*f - 8 = -4*a - 6*f, -5*a + 4*f = -21 for a.
1
Let d(l) = -l**3 + 6*l**2 - 4*l + 1. Let t = -11 + 16. Let w be d(t). Suppose 0 = -5*q + 7*q - w. Solve -q*u - 8 = 2*p, -p + 8 = 3*u - 3*p for u.
0
Suppose -123*x + 131*x = 40. Solve -5*v + 40 = -4*q, -x*q + 0*q = -v + 29 for q.
-5
Suppose 5*b + 3*u = 27, 5*b - 2*u - 34 = 2*u. Suppose -5*l = -3*l - b. Let p = -3783 + 3785. Solve -2*w = l*h - 15, -p*h = -2*w + 3*w - 10 for w.
0
Suppose -5*d = 2*v - 3 - 26, -4*d + 18 = -v. Suppose b = d*k + 4*b + 12, 2*b = 2. Let p be 9/k + (6 - -2). Solve -3*m + 0 + p = 4*i, -m - 3*i = -5 for m.
-1
Let u = -166 + 186. Solve -k + 3 = -4*h + 5*h, -u = -4*k for h.
-2
Suppose -19 = 3*d - 25. Solve -d*t - 2*h = 16, -3*h = -2*t - 0*h - 1 for t.
-5
Suppose 27*q = 20 + 34. Let z = 1 + -1. Solve 5*f - n - 10 = z, q*n - 19 = -4*f + 5*n for f.
1
Suppose 0 = 211*q - 207*q - 12. Solve q*j + 11 = -4*a + 2*j, -a = -2*j + 5 for a.
-3
Let k be 1/(2/(-24)*-1). Suppose -9*z + 39 = k. Solve -z*a + 2*g - 23 = 0, 6*a - 5*g = 3*a - 35 for a.
-5
Suppose 3*n + 28*n = -21*n. Solve -5*t - 29 + 9 = n, -w - t - 6 = 0 for w.
-2
Let i be 36/(-252) + (-1 - 128/(-14)). Solve -3*p = 3*v - 4*p + i, -36 = 5*v + 4*p for v.
-4
Suppose -24*l + 95 = -193. Solve j = 5*d - 10, 4*j + 4*d = -l - 4 for j.
-5
Let o = -1 + 3. Suppose -4*p = 2*b - 20, p + 11 + 2 = 4*b. Suppose o*m = -2*q + m + 35, 75 = 3*q - p*m. Solve 3*h + q = 4*t, -5*h = 2*t + 4 + 12 for t.
2
Let c(p) = -p**2 + 4*p - 3. Let f be c(3). Let n be 7 - 5 - (0 - -2). Suppose 2 + n = o. Solve 2*g + 6 = f, g + o = 5*d - 6 for d.
1
Suppose -14 = -4*h - 2*i, -3*h - i = 3*i - 18. Solve 3*n - 4 = -2*v + 3*v, h = 3*n - 2*v for n.
2
Let x be 4*-1 - (-8 - 7). Suppose j - x = -3*r, -13 = 5*r - 5*j - 38. Solve 5*b - 5*p + r - 34 = 0, 3*b = -5*p - 6 for b.
3
Let s = -45 - -47. Let v be 324/33 - (-10)/55. Suppose 4*c + 2 - v = 0. Solve 0 = 2*z + s*p, 4*z = -3*p - 0 - c for z.
-2
Let x = 404 + -400. Solve -3*l - 2*f + f = -11, -x*l - 4*f = -28 for l.
2
Let u be (6/(-9))/((-4)/114). Let k be (18 - -3)*(15 + -14). Let a = k - u. Solve -2*h + 20 = -2*y + a*h, -3*y - 4*h = 0 for y.
-4
Let d(l) = -2*l + 21. Let n be d(9). Suppose -4*u = 2*r + 4, -n*r = -2*u - 2 + 16. Let v be (-171)/(-38) - u/2. Solve -3*j + j - 4 = 0, 2*f + 3*j = -v for f.
1
Suppose 38 + 62 = -5*w. Let o = 23 + w. Solve 5*k = 3*r + 26, -r = -4*r + o*k - 18 for r.
-2
Suppose -2*o + 1 + 9 = 0. Suppose -7*b - 12 = -o*b. Let f be (1 - 1)/(b + 10). Solve 0 = -r - 3*r + 4*c + 28, -4*r + c + 13 = f for r.
2
Suppose 0 = -5*h + 3*n + 34, -h - 1 = -0*h + 2*n. Suppose 4*b = h*b - 14. Suppose 8 = -2*p + b. Solve v = 2*z - 1, -5*v - 4*z + 14 = -p*v for v.
3
Let n = -56 - -56. Let w(b) = b**2 - 7*b + 9. Let j be w(6). Suppose -14 = -u + 2*h, 0*u + h - 3 = -2*u. Solve -2*c = q + u, -13 = j*c - 2*q - n*q for c.
-3
Suppose -2*o + 9 = o. Suppose -o*t + 13 = k, -4*k + 39 = k + 2*t. Let u = k - 4. Solve 0 = a - 2*p - u, 3*p = -5*a + 3*a + 6 for a.
3
Suppose 4*c - 3*c + 2*f = 7, 4*c - 2*f = 18. Solve -q - 2 = -0*p - c*p, p + q - 4 = 0 for p.
1
Let k be 67 + -70 + -5*(-1)/1. Solve -2*r + 3*c = 5*c + 4, r = -k*c - 6 for r.
2
Let i = -4141 - -4141. Let k(a) = -a + 1. Let c be k(-1). Solve i = -c*d + 2*b - 1 + 11, -5*b = -3*d + 23 for d.
1
Let i(f) = -8*f - 134. Let k be i(-17). Solve -k*p + s = 3*p - 2, 2*s = -4*p + 10 for p.
1
Suppose 3*x + z - 71 = 0, 21 = x + z - 2*z. Let g(h) = h**3 - 25*h**2 + 47*h - 19. Let i be g(x). Solve c - 3 = -0*p + 2*p, 0 = i*p - 3*c + 3 for p.
-3
Let j = -12 + 13. Let w = j - -3. Let o be (5 + (-50)/(-15))*3. Solve c + 4*c = 3*p + 15, -w*c = 5*p + o for c.
0
Let h(p) = 2*p**2 - 2. Let g be h(2). Let r(q) = q**2 - 5*q + 10. Let l be r(3). Solve -4*x = -8*x - 5*z + 26, -5*z = -l*x + g for x.
4
Let s(k) = 17*k - 63. Let j be s(4). Solve -3*y = 2*a - 10, -j*y + 15 = -5*a - 10 for a.
-1
Let l(i) = i**3 + 13*i**2 + i + 17. Let d be l(-13). Suppose u + c = -u + 3, 0 = -4*c + d. Suppose 5*r = -u + 21. Solve -r*z - 4 = 4*f, 0 = -z + 2 for f.
-3
Suppose -52*c + 15 = g - 57*c, 2*c + 6 = -3*g. Let o(h) = -h**2 + 8*h - 9. Let n be o(6). Solve -n*l = -6, g = k - 3*l + 4 - 0 for k.
2
Suppose -7*c + 7 = -3*c - z, 0 = -5*c + 4*z + 6. Solve 3 = 3*y, 0 = -c*i + 2*y + 1 - 5 for i.
-1
Suppose 3*x + q + 2*q = -54, 4*x + 5*q + 72 = 0. Let h = -10 - x. Suppose -2*m = -h - 0. Solve -y - 15 = -4*c + 1, -5*y - m*c = -16 for y.
0
Let w = 11 + 11. Let y = 74 + -69. Suppose -3*z - 2*b + w = y, 2*z + 4*b = 22. Solve -6 = -z*j - 0*j + i, -5*j - 5*i = 10 for j.
1
Let c be 6 + (7 - (5 - 3)). Suppose -c = -2*x - 5. Solve 0*m = f - 5*m + x, 4*f = 2*m - 12 for f.
-3
Suppose -l = 5*b - 27, -3*l + 2*b = 6*b - 26. Solve -2 = l*r, 0*d + 5*r = -3*d - 5 for d.
0
Suppose 5*u - 1 = 3*z, 10 = 2*z - 0*z + 2*u. Suppose -6 = -4*t + 2. Let j(p) = 2*p. Let o be j(2). Solve -2 = -3*w - t*f + f, o*w + z*f = 6 for w.
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4))) prime?
True
Let c(r) = 621*r + 8. Is c(1) a prime number?
False
Let z = 2158 + 135. Is z prime?
True
Is (-5 - 24/(-6))/5*-15545 prime?
True
Suppose 2*x = -j + 1639, -2*x = -5*j + 7097 + 1062. Is j prime?
False
Suppose -d + 779 = -2*v, -2*v - 3*v = 3*d - 2326. Suppose -11*c + d = -8*c. Is c prime?
False
Let y(b) = 13*b**2 + b + 3. Let v = -4 - -9. Let a be y(v). Let n = -30 + a. Is n prime?
False
Let b be -27*(-2*1 + (-182)/(-6)). Let q = 1452 + b. Is q composite?
True
Let t(w) = 47*w + 1. Let r(q) = -q**3 - q**2 + 2. Let h be r(0). Let s be t(h). Let j = s - -174. Is j prime?
True
Let c(a) be the third derivative of a**4/24 + 3*a**3/2 + 5*a**2. Let i be c(-7). Suppose -5*n = -4*k + 43, i = -k - 3*n - 0. Is k a prime number?
True
Suppose -3*l + 0*l = 4*y + 102, 0 = 5*l + y + 187. Let k(r) = r**3 + r**2 - r - 1. Let x be k(4). Let a = l + x. Is a a composite number?
False
Let h(q) = 3739*q**2 + 2*q + 2. Is h(-1) composite?
False
Let b(z) = 3*z + 12. Let j be b(-6). Let x(m) = -3*m - 7 + 4*m + 2*m + 4*m**2. Is x(j) prime?
False
Suppose 6 + 9 = 3*g. Suppose -3*o - 12 = -v, -g*o + 2*v = -8*o - 3. Is 3 + o + 32 - -1 prime?
False
Let h be (-1)/7 - 4296/(-84). Is (-2694)/4*(-34)/h a prime number?
True
Let s = -368 + 930. Suppose -6*u + 104 + s = 0. Is u composite?
True
Suppose 5*n + 122630 = 5*w, 0 = 22*w - 17*w - 3*n - 122632. Is w a prime number?
True
Let f = -81 + 35. Let w be (28/(-8) - -1)*f. Let t = -82 + w. Is t a composite number?
True
Suppose 2*h = 5*h. Let a(y) = y**3 + y**2 - 138. Let i be a(h). Let t = 8 - i. Is t a prime number?
False
Suppose 80 = 5*v - v. Suppose 0 = -3*g - 2*g - v. Is 1559/(1 - 0) - g a prime number?
False
Let l = 122 - 16. Is l prime?
False
Let w(a) = -a**3 + 6*a**2 - 14. Let l be w(6). Let h = l - -91. Is h a composite number?
True
Let p = 16 - 28. Let h(v) = 15*v - 7. Let w(q) = -15*q + 5. Let g(k) = 3*h(k) + 4*w(k). Is g(p) a prime number?
True
Let y(f) = 136*f + 39*f - 22 - 35 + 18. Is y(8) prime?
True
Let g = -238 + 149. Let x = 219 + g. Suppose -3*b + 35 = -x. Is b composite?
True
Let l be 2881/603 + ((-4)/(-18) - 0). Let j(v) = -v**2 + 6*v - 4. Let s be j(4). Suppose f - 13 = -s*r + 2*r, -l*r = -5*f - 25. Is r prime?
False
Let b(h) = 4*h + 15. Let o be b(-3). Suppose o*m - 3800 = -161. Is m prime?
True
Let x = 84 - 68. Let u(d) = 45*d - 49. Is u(x) a composite number?
True
Let f(b) be the second derivative of -b**4/6 - b**3/6 + 1343*b**2/2 - 13*b. Is f(0) a prime number?
False
Let z be ((-9)/(-18))/(2/60). Suppose 17*s - z*s = 2078. Is s composite?
False
Let u = -3 + 6. Suppose -6*o = -u*o. Suppose 2*h = 4*q + 78, 4*q - 70 = -2*h - o*h. Is h composite?
False
Suppose -32209 = -10*p + u, 4*u + 2030 = 3*p - 7629. Is p composite?
False
Is (2255/(-22))/5*(-45 + -1) a prime number?
False
Let u(j) = j + 2. Let g be u(2). Suppose -3*s + 135 = -3*o, -2*s = g*o - 80 - 16. Suppose -2*w = 2*w - 12, 3*w = -f + s. Is f composite?
False
Let a(v) = -1322*v + 13. Is a(-2) composite?
False
Let a = 11 + -45. Let q = a - -38. Suppose -2*l + 2*b = l - 1567, q*l - 2090 = 3*b. Is l a composite number?
False
Let l = 16 - 13. Suppose 0 = -5*m + 2 - 7, 2*m = l*f - 11. Suppose 4*r = -f*s + 41, 5 = -r + 2*r. Is s a composite number?
False
Suppose 4*j + 24 = 24. Suppose j = 9*b - 3514 - 5108. Is b a composite number?
True
Suppose b = -5*q + q + 33926, -2*q + 4*b = -16972. Is q a prime number?
False
Let i = 17484 + -9261. Is i a prime number?
False
Let b be (-1)/((12/(-21))/4). Is (-8 - -1)*(b - 10) a composite number?
True
Let h be 4/14 + 48150/35. Suppose -h = -2*l - 0*l. Suppose -3*v + l = 79. Is v prime?
False
Let k be (-12 - -11)/(2/6). Is (-3)/k + (-612)/(-2) prime?
True
Suppose 7 = -2*l - v, 2*v + 3*v = -4*l - 29. Is (11/33)/(l/(-7893)) a composite number?
True
Suppose x + 2*f + 2*f + 2 = 0, 4*f + 4 = 0. Let t be (3 - -396) + (-3 - -1). Suppose n - x = 0, 2*n + t = 2*i + 103. Is i a prime number?
True
Let v(q) = 782*q**2 + q - 116. Is v(-11) a composite number?
True
Let b = 60 + -30. Let s = -25 + b. Suppose 4*g = s*z - 12 - 114, -2*z + 5*g + 47 = 0. Is z prime?
False
Is ((-2)/10)/((-47)/4427165) composite?
False
Is (-34670)/((-1)/(-2)*-4) prime?
False
Let q(u) = u**3 - 7*u**2 + 4*u + 17. Let j be q(6). Is j*2/20*(1115 - 1) a prime number?
True
Suppose 2*o - 3*f - 57031 = 16542, -5*o + 4*f = -183915. Is o a prime number?
True
Let j be 5 + 1*(-2 + 3 + -3). Suppose 4*r + j*t - 1831 - 3019 = 0, 4*r = 3*t + 4838. Is r a prime number?
False
Let l(j) = -69*j - 51. Let k be l(-17). Let x = k - -1331. Is x a composite number?
True
Let c = -32 - -36. Suppose g + 5244 = 4*y + 1612, -2*g = -c*y + 3636. Is y composite?
False
Suppose -7*i + 24719 + 3792 = 0. Is i a prime number?
True
Suppose -4*c = -5*t - 10 + 32, -2*t + c + 7 = 0. Suppose 0 = -t*r + 463 + 731. Is r composite?
True
Suppose -15*t + 14*t + 2*g = -1065, 0 = t - g - 1067. Is t prime?
True
Suppose -6 = -t - 4*k - 26, -k = t + 5. Is (88 - -1) + (-1 - (t - -3)) composite?
True
Let x(t) be the third derivative of t**5/12 + t**4/24 - 5*t**3/2 - 6*t**2. Let p be x(14). Suppose 11*a = 12*a - p. Is a a composite number?
True
Let j be 8/20 - 18/(-5). Let b(r) = -r**2 + 4*r - 3. Let f be b(j). Let i(u) = -4*u**3 + 2*u**2 - 2*u - 3. Is i(f) composite?
True
Suppose 3*z = 3*u - 172439 + 34604, 183784 = 4*u - 2*z. Is u a prime number?
False
Let s be -1 + 2 + 2 + 111. Suppose -4*j + 3*z = -418, 0*z + s = j + 4*z. Is j composite?
True
Suppose -3*g - 1776 = -5958. Is g/10 + (-4)/10 composite?
False
Let m(r) = 7*r**3 - 3*r**2 + 6*r - 13. Is m(4) a prime number?
False
Let y be 15/20*4 - 3. Suppose 0 = -y*i + 5*i - 3*j - 2786, i = -j + 562. Is i a prime number?
False
Let q(a) = 10*a**3 - 7*a**2 + 11*a - 10. Let k be q(4). Let t = k + -255. Is t composite?
False
Let w be 438 - (6/9)/(6/27). Suppose 5*s - 3*j - 2*j = w, 348 = 4*s - 5*j. Is s a prime number?
False
Suppose -309*i = -305*i - 2648. Is i composite?
True
Is (-604310)/(-12) + (-64)/384 composite?
False
Let n(f) be the second derivative of f**5/20 - 7*f**4/12 - f**3/2 - f**2/2 - 4*f. Is n(12) composite?
False
Suppose 4*k = 1 + 3, -211699 = -2*j - 5*k. Is j composite?
True
Let o = -1254 + 5221. Is o composite?
False
Let x = -3 + 1. Let p = x + -3. Let f(d) = d**2 + d - 10. Is f(p) a prime number?
False
Suppose 379*l - 53914 = 377*l. Is l a prime number?
False
Suppose -2*k = k - 4227. Is k composite?
False
Let s(k) be the third derivative of k**8/20160 - k**7/630 + 11*k**6/720 - 7*k**5/60 - 2*k**2. Let n(m) be the third derivative of s(m). Is n(-12) prime?
True
Suppose -6*x + 1 = -11. Suppose 2*a + j + 0*j = 417, x*j = 2*a - 432. Is a a composite number?
False
Is (72989/21)/(43/21 + -2) a composite number?
True
Suppose -5*k - k + 4*k = 0. Suppose -2*f = 4*g - 11494, k = 5*g - 3*g. Is f composite?
True
Let b = 6 + -2. Suppose j - q - 3 = 0, j + 0*q - b*q = -3. Suppose -4*t - j*w = -0*w - 1053, 2*t + 5*w = 539. Is t composite?
False
Let a = -298 + 593. Let x(v) = -v**3 - 2*v**2 + 9. Let c be x(0). Is a - (-9)/(c/(-2)) a prime number?
True
Suppose 3*m + 5*y = 1462, 5*m - 4*m - 2*y = 469. Is m composite?
False
Is 1*8812*(-6)/(-24) a composite number?
False
Let x(a) = 21*a**3 + a**2 - 6*a - 2. Let g be 1/(-1 - 12/(-9)). Let o be x(g). Let h = o + -263. Is h prime?
True
Suppose -2*w - 7*w + 264699 = 0. Is w a prime number?
True
Is 5388 - -15*5/(-15) a composite number?
True
Let o(c) be the third derivative of c**4/12 + 7*c**3/2 + 11*c**2. Let r be o(-8). Suppose -r*l + 896 + 389 = 0. Is l a composite number?
False
Let z(o) be the second derivative of o**4/4 + 4*o**3/3 + 3*o**2/2 + 19*o. Is z(-14) a composite number?
False
Is 265/(-159) + (-7448)/(-3) a prime number?
False
Suppose -6*o + 10065 + 5289 = 0. Suppose -44*n + 41*n + o = 0. Is n composite?
False
Suppose 4*v - 2734 = -2*w, 4476 - 373 = 3*w + 4*v. Is w composite?
True
Let g(z) = z**2 + 12*z + 7. Let v be g(-11). Is 3/(-1) - (-9 + v) a prime number?
False
Suppose 50 = 9*f - 85. Is 0 - ((-2)/5 - 73599/f) prime?
False
Let r = 29600 - 19384. Suppose 5*m + r - 36081 = 0. Is m composite?
True
Let r(j) = j**3 + 5*j**2 - j + 7807. Is r(0) prime?
False
Suppose -p = 4*u + 124, -2*p = -5*p - 12. Let a be (-4)/6*u/4. Suppose a*f = -f + 870. Is f composite?
True
Let s = 220 - -413. Suppose 4*f - f
|
{
"pile_set_name": "DM Mathematics"
}
|
losest to 0 in 5, 3, w?
3
Let g be ((-536)/(-20))/(2/5). Suppose -69*w + 2 = -g*w. Let v be 8 + ((-40)/50)/(w/5). What is the closest to -1 in v, -2/13, 3?
-2/13
Let f(z) = 5*z**2 - 126*z + 760. Let n be f(11). Let s = -12/11 - -38/55. What is the closest to 1/2 in s, 2, n?
s
Let s = -152.708 - -152.7. Let k = -4 - -4.052. Let q = k - s. What is the closest to 2/9 in q, 1, -4?
q
Let i = 46 + -40.2. Let f = 5.873 + -0.073. Let r = i - f. Which is the closest to r? (a) 1 (b) -0.4 (c) 0
c
Let h = 157.7 + -158. Let q = h - -5.3. Let y = -3.4 + 0.4. Which is the nearest to -1? (a) 0.1 (b) q (c) y
a
Suppose z = -3*n + 2*z + 21, 5*n + 6*z - 35 = 0. Which is the closest to -2/15? (a) 3 (b) -3 (c) n
b
Let l = 0.491 + 0.009. Let f = 846 + -847. Which is the nearest to -8/5? (a) -0.5 (b) f (c) l
b
Let h = 3741 + -3739. Let i = -2 + 2. What is the nearest to i in 5, 3, h?
h
Let v = -329.6 + 330.2. What is the closest to 6 in 0.2, v, -3, 0?
v
Let u = 0.34 - 0.04. Let w = -334.71 - -336. Let x = w + 1.71. Which is the closest to x? (a) u (b) -4 (c) 2
c
Let f(c) = 18*c - 1985. Let d be f(110). What is the nearest to -103/3 in d, 2/7, 0.8?
d
Let z = 0.17 - 4.07. Let d = z + 3.8. Let y be ((-2)/(-5))/(96/30). Which is the nearest to d? (a) y (b) -3 (c) -0.5
a
Let t = -0.1966 + -0.0034. What is the nearest to -1/4 in -2, 4, t, 2/9?
t
Let m = 160 - 153. Let v = 157.5 - 157. Which is the nearest to -1? (a) m (b) -3/5 (c) v
b
Let r = 3 - -1. Suppose -2 = -3*y + r. Let o = 6.08723 + -0.08723. Which is the closest to o? (a) y (b) 0.4 (c) -5
a
Suppose 31*f - 55*f - 63*f = 0. What is the closest to f in 0.5, -2/11, -3, 5?
-2/11
Let r be (38/912)/(1/24). What is the closest to r in -2, 0.2, -1, 2/11?
0.2
Let q be 0 + -1 + (-25)/(-20) + 0. Let i = 17.45 + -17.25. Which is the nearest to i? (a) 4 (b) -7/2 (c) -2/5 (d) q
d
Let t = 10145.8 - 9341. Let i = t - 804. Which is the nearest to -1? (a) -2/9 (b) 0 (c) i (d) 0.2
a
Let p = -0.328 - 0.072. Let x = 7666.8 - 7670. Which is the closest to 0? (a) -1 (b) -1/3 (c) x (d) p
b
Let l be ((-4)/(-35))/(((-336)/(-2100))/(6/15)). Which is the nearest to -594? (a) -1/2 (b) 4 (c) l (d) 0
a
Let f = -1.6102 - 0.3898. Which is the nearest to f? (a) -5 (b) 0 (c) 0.05
b
Let j = 1186 + -1186. What is the closest to -101 in 4/3, j, -1?
-1
Let y = 0.12 + -12.12. Let w = -784.4 + 581. Let q = -203 - w. Which is the nearest to -2/5? (a) y (b) -3/4 (c) q
b
Let u = 5777/65 - 1158/13. What is the nearest to u in 1/4, 0.8, -1/8, 3?
-1/8
Let w = 38 - 38.01. Let d = 0.09 - w. Let g be (-14)/315*(-5 + 0). Which is the closest to d? (a) 4 (b) g (c) 1
b
Let s be (-2)/9 + (319/9)/11. Let f = 211 + -215. What is the closest to f in s, -4, 0.1?
-4
Let k be (-176 + 182)*(-2)/(-9). Which is the closest to k? (a) -1/7 (b) -2.1 (c) 1/4 (d) 0.1
c
Let p be 100/(-175) + 8/(-84). Let s = 2.9 - 2.7. Which is the nearest to 2? (a) 1 (b) p (c) s
a
Let w be (-7)/9 + (-6 - -7). Let i = 83323/2 - 41662. What is the closest to i in 4/3, 5, w?
w
Let j = 14923 - 14918. Which is the nearest to -1? (a) 8/5 (b) j (c) -11
a
Let o = 59.758 + -60.758. Let u = 0.4 + 0.1. What is the closest to -0.05 in o, u, -0.3?
-0.3
Let a be (-4)/(100/(-375)*35). What is the nearest to -1 in 11/3, a, -0.24?
-0.24
Let t = -1167/7 + 167. Let q be 49*6*1 + 2/(-2). Let a = 294 - q. What is the nearest to 1/5 in -0.4, t, a?
t
Let o be 0 - (10/14 - 1). Let f = -46.556 - 0.444. Let n = f - -44. Which is the nearest to 1? (a) n (b) -1 (c) o
c
Let h = 0.023 + -0.083. Suppose 3*n = 4*i - n - 68, -4*i - 5*n + 23 = 0. Let s be (10/i)/(10/(-20)). Which is the closest to 1/2? (a) h (b) s (c) 3
a
Let w = -1743 - -1744. What is the nearest to 0.1 in w, -5.3, -2, -1?
w
Let h = -80.36 + 80.36. Which is the closest to h? (a) -1.39 (b) 0 (c) 0.05 (d) 5
b
Let r = 233/5 - 47. Let d = 503.9 - 504. What is the closest to r in -2, d, 5?
d
Let m = 0.1141 - 0.3141. Which is the closest to -1/3? (a) -2/5 (b) m (c) 64/3
a
Let y = 869 - 826.3. Let d = y - 42.7. Let a(n) = -n**2 + 4*n + 7. Let l be a(5). What is the nearest to -2/5 in d, -2, l?
d
Suppose 5*z + 50 = -5*u, 0 = 3*u + 11 + 1. Let n be 4/(-18) - (-4)/(216/z). Suppose -8*q + 1 = -7*q. Which is the nearest to n? (a) -3/4 (b) q (c) -4
a
Let r = -7 + 3. Let l be 4/((-20)/35) + (2 - -1) + 3. Which is the closest to l? (a) 4 (b) r (c) -1 (d) -0.17
c
Let j be 0 + (2 - 2) + 1. Let s = 0.9268 - 0.9268. What is the nearest to j in -5, -2/11, s?
s
Let h(k) = -k**2 + 317*k + 5. Let g be h(0). What is the closest to -4 in 0.5, -0.5, g, -113?
-0.5
Let o be (45/(-10) - -3) + (-435)/(-348). Let m = 1264/9 - 140. What is the closest to m in o, -7, 0.4?
0.4
Let m = -34872 - -278979/8. Let t = -5 - -8. What is the nearest to -1 in m, t, -6?
m
Let g = -5.9 + 4.9. Let x(l) = -l**3 + 8*l**2 - 35*l + 65. Let w be x(3). Which is the closest to g? (a) -0.07 (b) w (c) 2/5
a
Let b = -4.35 - -4.3671. Let a = 0.1171 - b. What is the closest to a in 14, 4, -3, -2?
-2
Let y(s) = -s**3 + 13*s**2 - 26*s + 318. Let m be y(13). What is the closest to 1 in -5, -1, m?
-1
Let r = -34 - 4. Let h = 50 + r. Let q be 33/h + -7 + 5. Which is the closest to -4/7? (a) 3 (b) q (c) -3
b
Let z be (2/(-5))/(6/5). Let y = -27.98 + 27.48. What is the nearest to -2/5 in -3, z, y?
z
Let f be -2 - (46/(-11) - -2). Let j = -1.02411 - -3.02411. Which is the closest to 7? (a) f (b) 0.4 (c) j
c
Let h = -3244.76 - -3245. Which is the nearest to 1/3? (a) h (b) -2 (c) 46
a
Let m be -6*(-5 - (5 - 7)). Suppose -o + m = 4*p, 2*o = 3*p - 14 - 5. What is the closest to -0.2 in o, 1, -3?
1
Let p = 1673 + -8366/5. Which is the nearest to 0.1? (a) 6 (b) 1 (c) p (d) 2/9
d
Suppose 76*f - 11 = -28 - 59. Let h = -78 - -392/5. Let v(q) = -q**2 + 5*q - 3. Let x be v(3). Which is the nearest to f? (a) x (b) h (c) 3/8
c
Let g be 20/(-105)*3/(-2). Suppose 11 + 308 = 15*v + 4. What is the nearest to g in 1/9, -4, v, 5?
1/9
Let w be 221/119*-7 + 15. Let h be -2 + (-3 + 1)/2. What is the nearest to w in h, 1, 0.4?
1
Suppose 27*c - 22*c - 7 = 9*a, -2*a - 5*c = -29. What is the nearest to 5 in -10, -3, 2/19, a?
a
Let q be ((-13 - -6)/21)/(5/18). Let t = 4424778/139 - 114712798326/3603575. Let k = t - -2/1525. What is the closest to -1 in 1/3, k, q?
q
Suppose 2*f + 16 = -2*f. Let i = -18779 - -18779.6. Which is the nearest to -1? (a) f (b) 0.09 (c) i
b
Let s be (-17)/(-36) + 4/(-16). Let j be -1 + 4 - (-261 + -5 + -4). Let v = 283 - j. Which is the nearest to v? (a) 2 (b) s (c) -1
a
Let j(p) = -10*p**2 + 60*p - 88. Let o be j(4). What is the nearest to 86 in -5, o, 0.2?
0.2
Let s = 4.7 - 34.7. Let j = -30.6 - s. Let w = 0.7 + j. What is the nearest to -1 in -1/3, 3, w?
-1/3
Let w = 352 + -232. Let t = 120 - w. Let r be 1 - ((-2 - 1) + 3). Which is the nearest to 0? (a) -5 (b) r (c) t
c
Let k = 63423 + -7991359/126. Let j = 1/63 - k. Let l = 8 - 8. Which is the closest to j? (a) -3 (b) 0.1 (c) l
b
Let r = -4 - -1. Suppose -4*d + 13 = -3*g + 38, 3*d = -3*g - 3. Let m be (-4)/(32/(-12)) + 2 + d. Which is the closest to m? (a) 0 (b) r (c) 1
a
Suppose 0 = 3*k + 4*k - 14. Let h = -21.3 + 22.29. Let r = h + 1.01. Which is the nearest to k? (a) -0.4 (b) r (c) 0
b
Let r = -4053 + 4052. Which is the nearest to r? (a) -8/3 (b) -0.7 (c) 0.1 (d) -4
b
Let x = 149 + -275. Let z = x - -124. What is the closest to 1 in -4, z, 1?
1
Suppose 0 = -3*h + 4*f - 16, -2*f - 53 = -3*h - 61. Which is the closest to h? (a) -0.2 (b) -0.3 (c) 2 (d) 1.3
a
Let m = -0.2 - -0.4. Suppose 0 = 2*f - 10, 4*f - 1 - 9 = -2*l. Let i be ((-3)/5)/(8/(-10)). What is the closest to m in i, l, -0.7?
i
Let d = 0.1 + -0.3. Let x(r) = -r**3 + 4*r**2 + 24*r + 8. Let p be x(-3). What is the nearest to p in d, 0.11, 4?
d
Let y = 19566 - 19675. Let n = -63 - -176. Let v = y + n. Which is the nearest to -0.1? (a) v (b) -2/13 (c) -4/3
b
Let f = 2044/6141 - -1/2047. What is the nearest to -9 in -0.14, f, -0.5, -1?
-1
Let v = 122.9 - 129. Let t = -5.8 - v. Let j = -8.5 - -8.3. Which is the nearest to -3/7? (a) 1 (b) j (c) t
b
Let w be 2/(-4)*2/(-5). Let q = -606 - -605.661. Let c = 0.239 + q. What is the nearest to c in w, 3, 0?
0
Let c be 128/(-12)*((-17)/4 - -2).
|
{
"pile_set_name": "DM Mathematics"
}
|
{p: 1, e: 2, t: 7, y: 1, s: 3}. What is prob of sequence spt?
1/104
Three letters picked without replacement from {s: 2, z: 7}. Give prob of sequence szs.
1/36
Four letters picked without replacement from {q: 13, j: 5}. Give prob of sequence qjjj.
13/1224
Two letters picked without replacement from xxxxxxxxxxxxxaxxxxxx. What is prob of sequence ax?
1/20
Calculate prob of sequence ttwl when four letters picked without replacement from uwuutuutttlttutlttu.
1/646
Two letters picked without replacement from rrdrrd. What is prob of sequence rd?
4/15
Two letters picked without replacement from {m: 8, c: 1, j: 1, b: 6}. What is prob of sequence cj?
1/240
Three letters picked without replacement from {b: 2, o: 4, e: 7}. Give prob of sequence bee.
7/143
Calculate prob of sequence aq when two letters picked without replacement from qqqaqqqqqqi.
9/110
What is prob of sequence ljl when three letters picked without replacement from {l: 16, j: 4}?
8/57
Calculate prob of sequence tf when two letters picked without replacement from {s: 2, p: 1, x: 2, t: 1, f: 1}.
1/42
Calculate prob of sequence oo when two letters picked without replacement from {o: 3}.
1
Four letters picked without replacement from sgagsagsaaag. What is prob of sequence sagg?
1/66
Three letters picked without replacement from zbwwzlrwztb. What is prob of sequence wzl?
1/110
Calculate prob of sequence iiii when four letters picked without replacement from iidddii.
1/35
Calculate prob of sequence gju when three letters picked without replacement from {t: 1, g: 5, o: 11, j: 1, s: 1, u: 1}.
1/1368
Two letters picked without replacement from {k: 1, z: 2, m: 6, t: 1, g: 3}. What is prob of sequence tk?
1/156
What is prob of sequence jyyj when four letters picked without replacement from jyjyjyyyjj?
5/63
Two letters picked without replacement from eyymeyyqzy. Give prob of sequence ze.
1/45
Calculate prob of sequence snni when four letters picked without replacement from {s: 5, n: 2, i: 4, z: 4, r: 2}.
1/1428
Calculate prob of sequence sllq when four letters picked without replacement from {l: 4, s: 1, j: 7, q: 1}.
1/1430
Four letters picked without replacement from {a: 4, t: 15}. What is prob of sequence taat?
35/1292
What is prob of sequence eoo when three letters picked without replacement from kookkooosooeooos?
3/112
Calculate prob of sequence ynny when four letters picked without replacement from {n: 7, y: 2}.
1/36
Two letters picked without replacement from hnvnzzavm. Give prob of sequence vm.
1/36
Four letters picked without replacement from {q: 5, c: 2}. What is prob of sequence cqcq?
1/21
What is prob of sequence nn when two letters picked without replacement from nnbnkans?
3/14
What is prob of sequence ms when two letters picked without replacement from {s: 3, h: 2, q: 1, p: 1, m: 2, o: 3}?
1/22
Four letters picked without replacement from ebrrgrregrarrtagag. What is prob of sequence gagt?
1/2040
What is prob of sequence ci when two letters picked without replacement from cccccccccccccccciccc?
1/20
Four letters picked without replacement from deeddydydydyddee. What is prob of sequence ydde?
4/195
What is prob of sequence qqw when three letters picked without replacement from ibiwbibwiibqzbiqzii?
2/2907
What is prob of sequence hu when two letters picked without replacement from uuggghhg?
1/14
What is prob of sequence ool when three letters picked without replacement from {l: 4, f: 4, o: 2}?
1/90
What is prob of sequence wtw when three letters picked without replacement from ttttwww?
4/35
Four letters picked without replacement from cdrydzz. What is prob of sequence dzzc?
1/210
What is prob of sequence qf when two letters picked without replacement from {t: 1, f: 2, q: 2, d: 8}?
1/39
What is prob of sequence cz when two letters picked without replacement from {z: 5, p: 4, c: 1, t: 1}?
1/22
Four letters picked without replacement from {j: 11, n: 1, w: 6}. Give prob of sequence wjjj.
11/136
What is prob of sequence ccnn when four letters picked without replacement from cnccccccn?
1/36
What is prob of sequence efc when three letters picked without replacement from {f: 2, h: 2, c: 2, e: 2}?
1/42
Calculate prob of sequence qb when two letters picked without replacement from pqgiqbi.
1/21
Four letters picked without replacement from zzypzzzpxpqypx. Give prob of sequence zyxq.
5/6006
What is prob of sequence qhh when three letters picked without replacement from hhhhhhhqhhhqqhhhhhhh?
34/285
Two letters picked without replacement from {w: 4, a: 1, i: 3, n: 10}. Give prob of sequence na.
5/153
What is prob of sequence rt when two letters picked without replacement from pjpttppptrptpffr?
1/30
Calculate prob of sequence pp when two letters picked without replacement from upuppuuuuppuu.
5/39
Three letters picked without replacement from buvubgvvvbbg. Give prob of sequence buu.
1/165
Four letters picked without replacement from {m: 2, d: 3, v: 7, t: 7}. Give prob of sequence tmdt.
7/2584
Three letters picked without replacement from lclcccmlccgku. What is prob of sequence klm?
1/572
Two letters picked without replacement from {u: 2, r: 2, w: 4}. Give prob of sequence wr.
1/7
What is prob of sequence dp when two letters picked without replacement from {v: 2, p: 1, d: 4}?
2/21
Calculate prob of sequence vvi when three letters picked without replacement from vvvvivivivv.
28/165
What is prob of sequence lo when two letters picked without replacement from {a: 1, o: 2, c: 1, l: 2, k: 2}?
1/14
Calculate prob of sequence ssss when four letters picked without replacement from {z: 5, s: 5}.
1/42
Two letters picked without replacement from {p: 4, q: 2, u: 2, a: 12}. Give prob of sequence uu.
1/190
Calculate prob of sequence gqg when three letters picked without replacement from ggeggeeqeegeeegqgeq.
7/323
Four letters picked without replacement from ggxxx. Give prob of sequence gxxx.
1/10
Two letters picked without replacement from yyyii. What is prob of sequence ii?
1/10
Three letters picked without replacement from {p: 7, e: 2, c: 9}. Give prob of sequence pcp.
21/272
Four letters picked without replacement from toto. What is prob of sequence toto?
1/6
What is prob of sequence wv when two letters picked without replacement from {h: 3, v: 2, w: 1, i: 1}?
1/21
Three letters picked without replacement from ffi. Give prob of sequence iff.
1/3
What is prob of sequence uxg when three letters picked without replacement from {h: 3, g: 4, x: 2, u: 1}?
1/90
Four letters picked without replacement from {a: 1, u: 2, n: 1, x: 4, t: 2}. Give prob of sequence nuxx.
1/210
What is prob of sequence cccc when four letters picked without replacement from {c: 5}?
1
Three letters picked without replacement from {f: 13, z: 5}. Give prob of sequence zzz.
5/408
What is prob of sequence bxss when four letters picked without replacement from ssssxssbxbxx?
2/99
Four letters picked without replacement from {m: 6, z: 12}. Give prob of sequence mzmz.
11/204
Two letters picked without replacement from {n: 11, s: 2, j: 1, h: 2}. Give prob of sequence hs.
1/60
What is prob of sequence defd when four letters picked without replacement from {d: 5, e: 4, w: 1, i: 3, f: 1, m: 3}?
1/714
What is prob of sequence ki when two letters picked without replacement from {n: 4, a: 6, i: 1, k: 5}?
1/48
Two letters picked without replacement from ziulu. Give prob of sequence lu.
1/10
Two letters picked without replacement from {k: 1, z: 4, e: 1, o: 2, v: 1}. Give prob of sequence eo.
1/36
Four letters picked without replacement from cbjjkbbbcbbbibbcbbi. Give prob of sequence ibib.
55/23256
Two letters picked without replacement from {m: 4, h: 1, f: 1, c: 8, z: 1, q: 1}. What is prob of sequence zf?
1/240
Four letters picked without replacement from kkkkkkkikikkkkkiklkl. What is prob of sequence iili?
1/9690
Two letters picked without replacement from hccheehhhchhhhce. Give prob of sequence hc.
3/20
Two letters picked without replacement from {v: 2, w: 2, b: 4, i: 5}. Give prob of sequence ib.
5/39
What is prob of sequence pm when two letters picked without replacement from bmmpddmmdddmmhmdmmdd?
9/380
Calculate prob of sequence nunu when four letters picked without replacement from {d: 1, u: 8, n: 10}.
35/646
Three letters picked without replacement from bpb
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 4*d**3/9 - 4588*d**2/9 + 428576*d/3 + 287760 = 0. What is d?
-2, 495, 654
What is d in -5*d**2 - 5885180*d - 11770340 = 0?
-1177034, -2
What is x in -5*x**5 + 14825*x**4 + 59410*x**3 - 89050*x**2 - 59405*x + 74225 = 0?
-5, -1, 1, 2969
Let -2*f**3/11 - 132*f**2 - 196138*f/11 - 575400/11 = 0. What is f?
-548, -175, -3
Factor -5*d**2 - 17380*d + 7094025.
-5*(d - 369)*(d + 3845)
Find x, given that 1828*x**3/3 - 5334110*x**2/3 + 3891246376*x/3 - 4257362 = 0.
3/914, 1459
Determine y so that 21*y**3/8 - 127848753*y**2/2 + 389173878013392*y + 222385094023776 = 0.
-4/7, 12176072
Determine z so that -2*z**3/9 - 133744*z**2/9 - 3740128*z/3 = 0.
-66788, -84, 0
What is z in z**4 - 221*z**3 - 42346*z**2 + 172004*z - 172872 = 0?
-126, 2, 343
Factor r**2/2 + 412559*r/2 - 6188835.
(r - 30)*(r + 412589)/2
What is u in 2*u**2/7 - 427170*u/7 - 854348/7 = 0?
-2, 213587
Suppose g**3 + 32059*g**2 + 103822595*g + 88874254025 = 0. What is g?
-28529, -1765
Solve -h**2/3 + 5532944*h/3 - 7653367326784/3 = 0 for h.
2766472
Determine y so that y**5/2 - 425*y**4 + 12708*y**3 + 1541592*y**2 + 32968296*y + 213626160 = 0.
-18, 90, 814
Find z, given that 5*z**3 - 4780*z**2 - 5977405*z + 5982180 = 0.
-716, 1, 1671
Factor a**2 + 1457*a - 50694.
(a - 34)*(a + 1491)
Factor -4*y**2 + 4593008*y + 13779060.
-4*(y - 1148255)*(y + 3)
Factor -4*w**2 + 5147068*w - 51470280.
-4*(w - 1286757)*(w - 10)
Suppose -o**3 + 33237437*o**2 - 276181787963523*o - 276181821200961 = 0. Calculate o.
-1, 16618719
What is p in -p**3 - 17360*p**2 + 8216512*p - 959358976 = 0?
-17824, 232
Let -d**3/3 + 12929*d**2 - 852782*d/3 - 620240 = 0. What is d?
-2, 24, 38765
Find q, given that -2*q**4 + 5398*q**3 + 4349370*q**2 + 776176434*q = 0.
-339, 0, 3377
Factor -4*i**2 + 508912*i - 8650348.
-4*(i - 127211)*(i - 17)
Suppose 3*i**2/4 - 22659687*i + 171153804979323 = 0. What is i?
15106458
Find k, given that -3*k**5 + 2823*k**4 + 19875*k**3 + 31269*k**2 + 14220*k = 0.
-5, -1, 0, 948
Factor 2*g**2 - 817470212*g + 83532193438415618.
2*(g - 204367553)**2
Solve -b**5/6 + 375*b**4 - 22393*b**3/6 - 2634*b**2 + 138790*b/3 + 67200 = 0 for b.
-2, 5, 9, 2240
Solve -r**4 - 17*r**3 + 3359*r**2 + 153*r - 30150 = 0.
-67, -3, 3, 50
Let -4*a**3 - 651704*a**2 + 2606864*a - 2606880 = 0. Calculate a.
-162930, 2
Let -4*g**2 - 593560*g + 11279084 = 0. What is g?
-148409, 19
Determine y, given that -3*y**5/4 + 20895*y**4/2 + 1264500*y**3 = 0.
-120, 0, 14050
Determine n, given that -n**4 + 466836*n**3 - 54477426628*n**2 - 1525642456128*n - 10680137730304 = 0.
-14, 233432
Find l, given that -1067089*l**3 + 373946*l**2 - 32761*l = 0.
0, 181/1033
Suppose -3*k**2 + 100818*k - 19744719 = 0. Calculate k.
197, 33409
Solve -3*f**2/7 - 385600416*f/7 - 12390640068281088/7 = 0 for f.
-64266736
Solve r**4 + 32343*r**3 + 1292073*r**2 - 1518487*r - 7946538 = 0.
-32303, -41, -2, 3
Let -l**3 - 54903*l**2 - 839075931*l - 2275937712293 = 0. Calculate l.
-25733, -3437
Determine u so that -4*u**3/3 - 1192*u**2/3 + 9716*u/3 + 119560 = 0.
-305, -14, 21
Factor -2*d**2/9 + 1695524*d - 3234151838898.
-2*(d - 3814929)**2/9
Solve -t**4/2 - 6341*t**3/2 + 6407*t**2/2 + 412293*t/2 + 199773 = 0 for t.
-6342, -7, -1, 9
Solve -2*o**4/5 - 27362*o**3/5 + 575214*o**2/5 - 3699054*o/5 + 6659172/5 = 0 for o.
-13702, 3, 9
Find s such that 338*s**4 + 6754*s**3 - 47102*s**2 - 117466*s + 2100 = 0.
-25, -2, 3/169, 7
Find t such that t**4 - 4631*t**3 + 537391*t**2 - 2089401*t + 1556640 = 0.
1, 3, 115, 4512
Suppose k**2 - 18718748*k - 18718749 = 0. What is k?
-1, 18718749
Solve -c**3/2 - 53873*c**2 - 1939185*c/2 - 4362984 = 0.
-107728, -9
Suppose -3*u**3 - 72630*u**2 - 525284100*u - 980239029000 = 0. Calculate u.
-10670, -2870
What is p in -p**5 - 910*p**4 - 41048*p**3 + 282928*p**2 + 164208*p - 1117152 = 0?
-862, -54, -2, 2, 6
What is b in 2*b**3/9 - 19864*b**2/9 + 238054*b/9 + 257920/9 = 0?
-1, 13, 9920
Solve 5*t**4 + 91695*t**3 + 421451370*t**2 + 9648777220*t + 17612482440 = 0 for t.
-9158, -21, -2
Suppose 132627975682084*s**2 + 46065688*s + 4 = 0. What is s?
-1/5758211
Determine w, given that 2*w**5 - 66*w**4/5 - 5948*w**3/5 + 45792*w**2/5 - 76736*w/5 - 7680 = 0.
-25, -2/5, 4, 24
Solve 2*x**3/3 + 279964*x**2/3 - 7840168*x/3 + 18294640 = 0 for x.
-140010, 14
Find u such that 22180932*u**4 + 990622980*u**3 + 15062830272*u**2 + 82469424128*u + 68375035904 = 0.
-2576/177, -1
Find t, given that 10*t**4 + 14205*t**3 - 1343250*t**2 + 12362125*t - 30011250 = 0.
-1510, 5, 159/2
Suppose -2*l**4/3 + 320*l**3/3 - 290*l**2/3 - 1500*l + 2544 = 0. What is l?
-4, 2, 3, 159
Solve 6*o**5/11 - 1750*o**4/11 - 98796*o**3/11 + 66640*o**2/11 = 0.
-49, 0, 2/3, 340
Factor -2*a**3 + 270*a**2 + 59244*a + 117392.
-2*(a - 253)*(a + 2)*(a + 116)
Find f such that -3*f**2 - 121632*f - 243252 = 0.
-40542, -2
Solve -h**2/2 + 1342591*h/2 - 3356465 = 0.
5, 1342586
Solve -3*x**3/5 - 52431*x**2/5 - 44208912*x + 70859899968/5 = 0 for x.
-8888, 299
Let 6724*y**3 - 23819852*y**2 - 682667968*y - 4871643904 = 0. What is y?
-584/41, 3571
What is s in -2*s**3/11 - 2274*s**2/11 + 109826*s/11 + 106470 = 0?
-1183, -9, 55
Find m, given that 6815*m**4 - 552005*m**3 - 7625*m**2 + 552005*m + 810 = 0.
-1, -2/1363, 1, 81
Factor 3*o**3/2 - 97311*o**2/2 + 42505584*o - 9412207830.
3*(o - 31545)*(o - 446)**2/2
What is n in -4*n**5 - 4864*n**4 + 9760*n**3 + 19480*n**2 - 9756*n - 14616 = 0?
-1218, -1, 1, 3
What is m in 4*m**4/5 + 10391364*m**3/5 + 62348088*m**2/5 + 124696112*m/5 + 16626144 = 0?
-2597835, -2
Factor 5*g**3 + 26705*g**2 - 4984525*g + 228679815.
5*(g - 91)**2*(g + 5523)
Find x such that -2*x**4/5 + 4226*x**3/5 - 50424*x**2/5 - 512*x/5 + 1075712/5 = 0.
-4, 8, 2101
Factor d**2 + 1378*d - 4792304.
(d - 1606)*(d + 2984)
Determine j so that j**3/4 - 58279*j**2/4 - 174855*j/2 = 0.
-6, 0, 58285
Solve 2*c**2 + 499424*c = 0 for c.
-249712, 0
Let 3*g**3/4 + 2208159*g**2/2 + 8832627*g/4 + 1104078 = 0. Calculate g.
-1472104, -1
Solve 5*k**2 - 1533265*k + 22997850 = 0 for k.
15, 306638
Let 23787*s**2 - 119127*s + 960 = 0. Calculate s.
64/7929, 5
Factor -f**2 + 75826*f - 303288.
-(f - 75822)*(f - 4)
Suppose -5*r**3 + 1262180*r**2 - 15145620*r + 45436320 = 0. Calculate r.
6, 252424
Let -4*i**5/19 + 450*i**4/19 + 16016*i**3/19 + 105480*i**2/19 - 56800*i/19 = 0. Calculate i.
-20, -10, 0, 1/2, 142
Factor -10*y**2/17 - 13806508*y/17 + 2761302/17.
-2*(y + 1380651)*(5*y - 1)/17
Determine c so that -2*c**4 - 11772*c**3 - 23144522*c**2 - 17134216632*c - 4236995432072 = 0.
-2314, -629
Let -3*q**4 + 18738390*q**3 + 74953596*q**2 + 74953608*q = 0. Calculate q.
-2, 0, 6246134
Factor 3*d**2 - 16612032*d - 299017548.
3*(d - 5537362)*(d + 18)
Factor 2*j**2/9 + 2978*j/3 - 360560/9.
2*(j - 40)*(j + 4507)/9
Factor 1160*l**2 - 65332*l - 44916.
4*(l - 57)*(290*l + 197)
What is h in 2*h**3/13 + 1670652*h**2/13 - 6682632*h/13 + 6682640/13 = 0?
-835330, 2
Let 4*w**3 + 107062892*w**2 - 4*w - 107062892 = 0. What is w?
-26765723, -1, 1
Determine x, given that -x**5/4 - 245*x**4/4 - 9921*x**3/4 + 700733*x**2/4 + 2226641*x/2 + 1507038 = 0.
-139, -4, -2, 39
Factor p**3 - 4227*p**2 + 813842*p - 3187800.
(p - 4025)*(p - 198)*(p - 4)
Determine o, given that o**4/3 + 89612*o**3/3 - 1733601*o**2 + 1703730*o = 0.
-89670, 0, 1, 57
Factor -3*p**2/4 - 159237*p/4 + 39810.
-3*(p - 1)*(p + 53080)/4
Suppose 4*m**2 + 97297836*m + 97297832 = 0. What is m?
-24324458, -1
Let -4*i**5 + 6332*i**4 - 1309224*i**3 + 63676640*i**2 - 1175420800*i + 7511232000 = 0. Calculate i.
20, 174, 1349
Let -13491369366*s**5/5 - 897831346*s**4 + 2654288*s**3/5 - 392*s**2/5 = 0. What is s?
-1/3, 0, 14/47419
Let 10*m**5/17 + 8424*m**4/17 - 205278*m**3/17 - 781588*m**2/17 - 394248*m/17 + 561168/17 = 0. What is m?
-866, -2, 3/5, 27
What is o in -o**3/7 - 105902*o**2/7 - 2009611*o = 0?
-105769, -133, 0
Factor 5*y**2 - 965289430*y + 46589184183486245.
5*(y - 96528943)**2
Suppose -3*f**2 - 44412*f + 18104391 = 0. Calculate f.
-15201, 397
Factor 4410*b**2 + 2707656*b + 2078061512/5.
2*(105*b + 32234)**2/5
Determine g, given that 15*g**2/4 + 422485*g/2 - 422500 = 0.
-169000/3, 2
Factor 5*o**3 + 11380*o**2 + 636375*o + 8787240.
5*(o + 24)*(o + 33)*(o + 2219)
Determine w, given that -w**3 - 709*w**2 - 20339*w + 21049 = 0.
-679, -31, 1
Solve 2*v**5 + 32078*v**4 + 160334*v**3 - 96230*v**2 - 416864*v + 320
|
{
"pile_set_name": "DM Mathematics"
}
|
88440925+5.1
-5888440919.9
What is 33090 + 557807.21?
590897.21
What is 48561584 plus 0.077977?
48561584.077977
What is 3347843571.6 + -3?
3347843568.6
Add together -12 and 429659793.8.
429659781.8
What is -0.086 less than -23713297907?
-23713297906.914
What is 18210912852 + 12044?
18210924896
Work out -276661.91848801 + 5.
-276656.91848801
Add 8.05424684630365 and -0.4.
7.65424684630365
What is 2478.992090518 plus -0.3?
2478.692090518
What is the distance between 8.5449 and 7338797207?
7338797198.4551
What is -0.25 plus -8848329171.56?
-8848329171.81
Add -0.05 and -12.6200142054.
-12.6700142054
Total of -81.33043227171 and 1.7.
-79.63043227171
2561210.113 - -129.313
2561339.426
-848.513929746 + 1003
154.486070254
Add together 0.11 and 131008251630.
131008251630.11
Calculate -12.323 - 1404417685.
-1404417697.323
What is 1283244815218 take away 16?
1283244815202
Total of -0.01 and -224096653532.
-224096653532.01
What is -0.115 + 7191.046786?
7190.931786
Sum 0.5 and 1958531962606.
1958531962606.5
What is the distance between 1966221935690 and -6.5?
1966221935696.5
What is the difference between 2188 and -351991805128?
351991807316
Put together -0.0436 and -0.0481048606.
-0.0917048606
Total of -19223983436 and 35.51.
-19223983400.49
Calculate 0.0518 - 48182694.341.
-48182694.2892
What is 326 plus -5016810.31?
-5016484.31
Work out -0.104 - 25123097852.
-25123097852.104
What is -0.1 minus 649.75374588?
-649.85374588
Put together 0.69889 and 920255.
920255.69889
50834594668 - 14
50834594654
Calculate -7948.39108 + 28.15.
-7920.24108
Put together -0.080187078 and -1073.
-1073.080187078
What is -630 plus -24981.73872?
-25611.73872
What is the distance between 2774.8 and -2451.33542?
5226.13542
Add together -456666.5393 and 0.
-456666.5393
Put together -51474162439400 and 1.2.
-51474162439398.8
Subtract 2.2267 from 172061150.
172061147.7733
Calculate -2279605 - -102812.
-2176793
What is the difference between 775982125557 and -0.05?
775982125557.05
Work out -2165.5536 + 3.359385.
-2162.194215
What is -31132.81726 take away 2.73?
-31135.54726
What is 56337162252 less than 2873?
-56337159379
Work out -70049826288 - -6.
-70049826282
-31800.57286 + 7.4494
-31793.12346
Work out -3 - -215897039801.
215897039798
-45458.016257+-2.5
-45460.516257
What is -0.057236513 + -289.4?
-289.457236513
What is 0.33 plus 23535295207?
23535295207.33
What is 21013.0277 + -19256?
1757.0277
What is -60624518392604 + -2?
-60624518392606
Calculate -1451420863795 + 19.
-1451420863776
Sum 14755746409 and 883.7.
14755747292.7
What is the difference between -5 and 1900384624246?
1900384624251
Add -176810850930 and 9.
-176810850921
What is 16.814 take away 12775653?
-12775636.186
-10011989.295797 - -4
-10011985.295797
Sum 2626182064 and -6.32.
2626182057.68
Sum 1127233975 and 788.
1127234763
Subtract 1769 from -259801.38036.
-261570.38036
1896+6283278.18
6285174.18
Add -82436 and -33503173.
-33585609
What is the difference between -574895074644 and -0.4?
574895074643.6
Total of 35.47 and -29594192209.
-29594192173.53
What is 34586.8 minus -716895?
751481.8
What is the difference between -0.3448934899 and 140.98?
141.3248934899
Calculate -44.6603 + 611.063.
566.4027
Calculate -72 + -192771070860.
-192771070932
Add 42.0909098 and 2208460.
2208502.0909098
Calculate 480.6302119 + 4565.
5045.6302119
What is -0.138517816 minus -16233?
16232.861482184
Work out 47259 + 219.510458.
47478.510458
What is 0.03967 less than -0.1828185008?
-0.2224885008
Add together -0.00046755728278 and 1.
0.99953244271722
Calculate 56516 + -46876824.
-46820308
What is the distance between 510.69 and -59308518?
59309028.69
Calculate -8.6484 + 1162049770.
1162049761.3516
What is -224170470835 - 0?
-224170470835
Add 2.44123 and -0.4481675.
1.9930625
What is 0.05283441647 - -1932?
1932.05283441647
What is 428 plus 601144453?
601144881
Total of -1.000028928 and 98190.
98188.999971072
Work out 1526 - -3513520990.
3513522516
Subtract 18688330410 from -437.
-18688330847
Total of 0.22 and -106347086.4913.
-106347086.2713
What is -39.80263 - -2035876?
2035836.19737
What is 1 - -2620236355.16?
2620236356.16
Calculate -0.1 + 14.231914299335.
14.131914299335
Add together -506949819 and -1.93.
-506949820.93
What is 89 minus -15714124640?
15714124729
What is 2 less than -58807542.77423?
-58807544.77423
What is the distance between 45917 and 6086506?
6040589
0.02084+-9869527512
-9869527511.97916
12387889.2+-17.87
12387871.33
5158662 + 5020
5163682
What is 181310.4 - -0.059124641?
181310.459124641
What is 1334.374793 take away -12?
1346.374793
Work out -1405 - 23456144.01.
-23457549.01
Calculate -641791.0028738 - 0.06.
-641791.0628738
What is the difference between 2692999 and 0.048674?
2692998.951326
-0.647834641176 - 0.2
-0.847834641176
Calculate 4.6162 + -33553142.
-33553137.3838
What is -15255281410 - 2?
-15255281412
-12 + -10.8724298582
-22.8724298582
What is 0.093069 plus -13559464?
-13559463.906931
What is 876985.3234616 minus -1?
876986.3234616
Work out 140 + 1649992532.
1649992672
Put together 2195.811 and 783312.
785507.811
1.59801320281+0.1
1.69801320281
Calculate -4670.15301 - 0.01087.
-4670.16388
Total of 12827.07 and -0.033197.
12827.036803
Work out -13965.669129 - 0.11.
-13965.779129
-385730834780.968+-0.2
-385730834781.168
What is -0.095412 plus 65455?
65454.904588
Add -1212495360 and 339638.
-1212155722
Add together 360.655724326 and 0.1.
360.755724326
Add -91253739.401 and -4.
-91253743.401
Add together -21622 and -0.05369339.
-21622.05369339
Sum 61 and -13832823.76834.
-13832762.76834
What is -4746.84 + 1780862?
1776115.16
Work out -132536 - -553285839.
553153303
Add together 29812502 and -5216.
29807286
Work out -17 + 125545207.6369.
125545190.6369
What is the difference between 2068102258522 and 0.04?
2068102258521.96
Work out 0.3 + 27957812208524.
27957812208524.3
Add together 62.1521950205 and 131.
193.1521950205
678 - 0.1022534
677.8977466
What is -7431978735716 take away 0.01?
-7431978735716.01
What is 2.6 - 131.3276163?
-128.7276163
Work out 144300431590 - 242.
144300431348
Calculate 840825656602 + -4.2.
840825656597.8
What is -1030783052 plus -0.2?
-1030783052.2
Total of -32 and 30157938005.
30157937973
Work out 0.1 + -9167459805629.
-9167459805628.9
What is -4094558 minus 5139891?
-9234449
Subtract 20410054440 from -1492.1.
-20410055932.1
What is the difference between -10503717 and -87.793?
10503629.207
Calculate -0.150379 - -28871.743.
28871.592621
What is 26164474.47 less than -2.2?
-26164476.67
8992635640 + -2.056
8992635637.944
What is -0.002956 - 215802?
-215802.002956
What is 11504 take away 4665169064?
-4665157560
Add 1561716 and 858930.
2420646
Work out 4006.69505 + -15777.
-11770.30495
What is -29.060983213 - 1.1?
-30.160983213
What is -64562 plus -0.01524418?
-64562.01524418
Calculate 24187336352.2 + 489.
24187336841.2
Subtract 1848.7212037 from 466.2.
-1382.5212037
Calculate 0.06535 + -20080909.
-20080908.93465
Subtract -54.03275478025 from 0.2.
54.23275478025
What is 579.8 take away -24641917?
24642496.8
What is 1383747095457 - 0.4?
1383747095456.6
Put together 3.37391030705 and -0.5.
2.87391030705
Total of -24830.783965133 and 0.2.
-24830.583965133
What is -895602 + -63614?
-959216
What is 2585.352035 take away 3088?
-502.647965
Sum -9 and 139.5770397418.
130.5770397418
Sum -9 and 1668521846111.
1668521846102
Add -37279.5297 and -0.47.
-37279.9997
Calculate 2132411073 - 120.7.
2132410952.3
What is 0.371 minus -822005109?
822005109.371
Add -1.3 and -467461732646.
-467461732647.3
Work out -700 - -177817146463.
177817145763
What is 0.1 - -22493446916?
22493446916.1
Calculate -0.3937 - 632025.7778.
-632026.1715
Calculate 54 - 1133443826414.
-1133443826360
Work out -2.691 - 1370.771779.
-1373.462779
0.176781802 - 13.76
-13.583218198
Work out -277 - 369.518527471.
-646.518527471
Put together -550.3391959 and -643.
-1193.3391959
What is the difference between -0.5 and -194.0476903438?
193.5476903438
What is 46216 + 7.824076696?
46223.824076696
What is 212518509655 - -2.5?
212518509657.5
Total of 7222880782 and -24301.
7222856481
Add together 32297356576.97 and -35.
32297356541.97
-2.76293727 - 393
-395.76293727
What is -1360430074 plus -1.509?
-1360430075.509
What is 0.009032 + 79309327.5?
|
{
"pile_set_name": "DM Mathematics"
}
|
r = z for r.
1
Let x(q) = q**3 + 5*q**2 - q - 1. Suppose 16 + 9 = -2*f + 5*y, 3 = y. Let n be x(f). Suppose -5*c + 2*u + 75 = 7*u, -n*c = -4*u - 20. Solve -5*i - c = 5 for i.
-3
Suppose -103*o + 445 + 1542 + 176 = 0. Let k be (-1)/(-1*(-1)/(-17)). Let b = o - k. Solve h + b = 2 for h.
-2
Let z(o) = -o**3 - 7*o**2 - 4*o + 15. Suppose 15*k = 18*k - 6. Suppose w + 8 - k = 0. Let f be z(w). Solve l + f = 4 for l.
1
Let m be ((-3420)/1330)/((-3)/7). Solve -15*k - 105 = m*k for k.
-5
Let r(l) = l + 19. Let j be r(-9). Let n = j + 2. Suppose -n*g = -8*g. Solve -d - 2*d - 3 = g for d.
-1
Let a be ((-9)/5)/(7 + 102/(-15)). Let b be (30/(-9))/(6/a). Solve -3 = -b*l - 13 for l.
-2
Suppose 493 - 489 = 4*i. Suppose 2*l + 0 - i = p, -4*p = -2*l - 26. Solve -28 + 1 = p*f for f.
-3
Let k(j) = -35*j - 2. Let f be k(5). Let y = -177 - f. Solve -7*h + 10*h + 15 = y for h.
-5
Suppose -3*a + 4*a = -8. Let h be (-4 - -1 - 3)*4/a. Solve -t = h*t for t.
0
Suppose -5*f - 4*j + 489 = 0, 0 = -4*f + j - 5*j + 388. Let v be 1010/f*14/10. Solve 16 = 10*s - v for s.
3
Suppose r + 15 = -5*s, 5 = -5*r - 2*s - 1. Let x(v) = v**2 - 8*v + 15. Let p be x(2). Suppose -p*b - 4 = -1, -4*j - 4*b + 4 = 0. Solve r = -j*u - u for u.
0
Let z(x) = 45*x - 79. Let l be z(2). Solve p + 15 - l = 0 for p.
-4
Let w(j) = -j**3 + 21*j**2 - 10. Let b be w(21). Let f be (-77 + 74)/(6/b + 0). Solve -f = -4*u + 5*u for u.
-5
Suppose 53*d - r - 23 = 51*d, 5*r + 25 = 0. Suppose 0 = l - 3*l + 6. Solve 6 = -l*v + d for v.
1
Suppose 2*x = 5*s + 25, 2*x - 31 = 190*s - 191*s. Solve x*i = 16*i - 3 for i.
3
Let z = 1079 - 540. Suppose -z + 554 = 5*r. Solve 0 = -4*l + 7 - r for l.
1
Suppose 5*k = -30, w + 5*k - 8 = -22. Solve -23 = w*j - 103 for j.
5
Suppose -x - 3 + 16 = 0. Let b = -172 - -409. Let y = b - 235. Solve y = 5*h - x for h.
3
Let b be 32 - (110 - 96)/(0 + 2 - 0). Solve 0 = b*g + 29 - 104 for g.
3
Let h(d) = d**3 - 5*d**2 - 12. Let v be h(6). Let x = v - 20. Let f = x - -8. Solve -3*r + f = r for r.
3
Let b(q) = -q**3 + 5*q**2 - 5*q. Let i be b(2). Suppose -3*t - i*d + 6 = 0, 7*d - 8*d + 9 = 3*t. Solve c = t*c + 3 for c.
-1
Let q be (-2)/(-14)*0*1. Solve -619*s + 626*s + 21 = q for s.
-3
Suppose 0 = -21*v + 14*v + 161. Suppose 2*a = -9 + v. Solve a = -4*d - 1 for d.
-2
Let r(v) = 4*v + 78. Let x be r(-16). Suppose 3*z = x - 2. Solve 0 = 8*t - 10*t + z for t.
2
Let v(y) = 2*y**2 + 167*y - 16 - 159*y + 6*y**2 + y**3. Let h be v(-4). Solve -5*z = -z + h for z.
-4
Let z(n) = n**3 - 2*n**2 - 51*n + 39. Let j be z(8). Suppose 0 = -6*b + 2*b + 16. Solve b*a = -a + j for a.
3
Let q(l) = -7*l + 2. Let r be q(-1). Let z = -1340 - -1351. Solve 4*a = -z - r for a.
-5
Let q(n) = -7*n**2 - 126*n + 31. Let t be q(-18). Solve -44 + 13 = t*k for k.
-1
Suppose 0 = 26*v - 23*v - 12, 0 = -j - 2*v + 27. Solve j = -2*m + 23 for m.
2
Suppose -3*g - 2*q = -3*q - 24, -g + 8 = q. Let f = -187333 - -187335. Let v(u) = u**3 + 2*u**2 + 2. Let r be v(-2). Solve -g = r*x + f for x.
-5
Let f(m) = -m**2 + 7*m + 1. Let o be f(5). Let i be 2/(-4) - (-4)/(8/o). Suppose t = -5*x - i, 0*x + 26 = 4*t - 3*x. Solve 0*h = 5*h + t for h.
-1
Suppose 3*l + 5*u = 2*l + 23, 0 = 3*u - 12. Suppose 6*v = 61 - 19. Suppose 0*o + v*o = 2*o. Solve o = -g + 2*g - l for g.
3
Suppose -4*p = 2*z - 10, 6*z - 8*z + 3 = -3*p. Let a(w) = 37*w**2 - 3*w - 2. Let l be a(1). Solve -26 = -z*d - l for d.
-2
Suppose 3*y - 66 = 4*n, -25*y = -20*y - 4*n - 94. Solve 13*v = -v - y for v.
-1
Suppose 0 = -5*c + 4*l + 136, -5*c + 559 = -5*l + 424. Solve c = -12*m - 8 for m.
-3
Let n(h) = -2*h**2 - 2*h + 8. Let f be n(0). Let q = 1 + 2. Suppose -3*j = -3*c - 3, -4*j + 6 = -q*c + 2. Solve c = f*s - 3*s for s.
0
Suppose -214 = 9*r - 8*r. Let i = r - -230. Solve -x = 3*x - i for x.
4
Let a be 6 + 17 + -23 - (2 + (-1 - 16)). Solve 39 = -a*j - 36 for j.
-5
Suppose 2*q = 4*l + 60, 0 = -3*q + l - 5*l + 90. Solve -q*p + 29*p = -5 for p.
5
Let m be 4 + (-49)/(-5) + (-96)/(-80). Solve 48 = -m*t - 12 for t.
-4
Let g(b) = 83*b + 86*b + 2 - 168*b. Let t be g(-2). Solve t*o = 5*o + 20 for o.
-4
Suppose 222 + 618 = 4*i. Suppose -510 + i = -30*m. Solve -45 = -r + m*r for r.
-5
Suppose 5*p + 5*w - 1085 = 0, 0 = -9*w + 7*w - 6. Solve p*z - 226*z - 36 = 0 for z.
-6
Let v be 135/(-30)*(7 + (-3)/3). Let h be -3 + (-63)/v*3. Solve 11 - 27 = h*w for w.
-4
Let h(m) = -m**3 + 36*m**2 - 204*m + 7. Let f be h(7). Solve f = 236*c - 230*c + 24 for c.
-4
Let f = -3943 + 3944. Let q(o) = 7*o + 7. Let k(m) = -6*m - 6. Let v(w) = -6*k(w) - 5*q(w). Let h be v(-1). Solve h*j - f = j for j.
-1
Let h(n) = n**3 + 6*n**2 - 87*n + 318. Let s be h(4). Solve -s = 7*q - 95 for q.
-5
Let f be (-690)/(-90)*(45/20 + 6/8). Solve -f*y + 36*y + 39 = 0 for y.
-3
Let i(t) = 6*t + 12. Let s be i(-32). Let u be (6/(-15))/(9/s). Let x(a) = 6*a**3 - a. Let h be x(1). Solve z = h*z + u for z.
-2
Let f(p) = -p**2 + 11*p - 23. Let k be (-40)/(-16)*(-36)/(-15). Let h be f(k). Suppose h*w - 15 = 27. Solve -3*n = -w*n + 9 for n.
3
Let h = 472 - 456. Suppose -4*b - 18*k + h*k = -124, k + 58 = 2*b. Solve b*i = 35*i - 5 for i.
1
Let m = 318 + 122. Solve -67*f - m = 21*f for f.
-5
Suppose -1553*v + 1554*v - 4 = 0. Let n = -5 - -13. Solve -m = -v + n for m.
-4
Let f be -2 + 0 + (2 - -3). Let d(c) = -f*c**3 - 3*c**3 + 7*c**3 - 2*c**3 + 7. Let p be d(0). Solve -2*v + 25 = -p*v for v.
-5
Suppose -52*x + 46*x = -43*x + 2072. Solve 3*w = x*w for w.
0
Let r = 27 + -28. Let z be (754/65)/(r*2/20). Let x = 121 + z. Solve -4*f = -x*f + 1 for f.
1
Let d be (-44)/(-2) - (-66 + 61). Suppose 6 = -2*o - 0, 4*k - d = o. Solve -9 = -k*t - 3 for t.
1
Let q be (-1 + -1 - -2)*(2 - 1). Solve 55*s - 188 + 23 = q for s.
3
Let g(n) = -2*n**3 + 236*n**2 + 487*n - 308. Let j be g(120). Solve 0 = -543*h + j*h - 66 for h.
-6
Let y(u) = 50*u - 12 - 3 - 17*u**3 + 36*u**3 - 7 - 20*u**3 - 9*u**2. Let v be y(-13). Let f = 1 + -1. Solve -4 = v*x - f for x.
-1
Suppose 6*l = 3*l + 6. Let p be (l - 6/(-5)) + 8/(-40). Suppose -s + n + n = 0, -p*s - 2*n + 16 = 0. Solve s = m - 0*m for m.
4
Suppose 0 = -62*s + 105 + 143. Solve 5*w = 2*w + s*w for w.
0
Let j be -10 + 264/21 - (-8)/(-14). Suppose 4*p - 4 = j*d, -4*d + 2*d + 2*p = 0. Solve 5*l + d*l - 35 = 0 for l.
5
Let t(d) be the first derivative of -d**6/360 - d**5/30 + 17*d**3/3 + 1. Let q(k) be the third derivative of t(k). Let o be q(-3). Solve -8 = -b - o for b.
5
Let m = -178 + -135. Let g = 317 + m. Solve -2*p = 2 + g for p.
-3
Suppose -z + 5*f - 18 = 0, -3*z + 2*z - 9 = -2*f. Let p be (z/(-6))/(1/(-6)) - -34. Let s = -25 + p. Solve -5 = g - s*g for g.
1
Let x = 110 - 110. Suppose 8*d - 6*d - 16 = x. Solve -10*g - 8 = -d*g for g.
-4
Let f be 3/((-24)/(-238)) + 237/(-316). Solve -f*z = -19*z + 40 for z.
-4
Let s(u) = u**3 - 103*u**2 + 104*u - 197. Let j be s(102). Solve 28*q = j*q - 126 for q.
-6
Let c be (-4)/14 - (-88)/14. Let m(w) = -w**2 - 23*w - 49. Let h be m(-17). Let i = -49 + h. Solve -c - 6 = i*b for b.
-3
Let y(f) = 10*f + 290. Let q be y(-3). Solve 0 = 255*n - q*n - 10 for n.
-2
Let w = 198 + -162. Suppose -4*i - 8 = -w. Solve 0 = 4*b - 1 - i for b.
2
Let o(f) = 2*f**2 + 2*f - 18. Let x be o(3). Suppose -x*w + 4*y + 4 = -w, -3*w - 5 = 5*y. Solve w = -3*j + 8*j + 25 for j.
-5
Let j(c) = c**2 + 3*c + 3. Let g be j(-2). Suppose 0 = -6*z - 14*z. Suppose z = -18*m + m. Solve m = o + g - 0 for o.
-1
Suppose 3*q = -x + 8957, -5*q - 7*x + 14917 = -11*x. Solve 0 = 2979*z - q*z + 30 for z.
5
Let c(m) = 10*m**2 - 10*m - 3. Let l be c(-5). Let q be ((-15)/(-4))/((l/36)/11). Solve 0*x + 15 = -q*x for x.
-3
Suppose 4*h = 5*b, -2*h + 6*h + 5*b = 0. Suppose -12*w + 114 = 66. Suppose h = -6*a + w*a + 12. Solve 3*d + 0*d - a = 0 for d.
2
Let s(a) = 7*a**3 + 443*a**2 + 132*a + 383. Let x be s(-63). Solve -y - 18 = x*y for y.
-3
Let d = -6194 + 6198. Solve l - 3 = d*l for l.
-1
Suppose s + 4*u - 3 + 2 = 0, -21 = -5*s - 4*u. Let n = 2421 - 2416. Solve s*i + n + 0 = 0 for i.
-1
Let a be ((-94)/6)/(-1) + (-2)/3. Let k be (4 + 20/(-8))*2. Suppose -10*d + 29 = -5*d + k*r, -2*d = 5*r - 23. Solve d*w = 7*w - a for w.
5
Let u(w) = -2*w**3 + 16 + 3*w**2 - w**3 + 9 - 14*w - 11*w**2 + 2*w**3. Let d be u(-5). Solve d*s - 25*s + 20 = 0 for s.
4
Suppose -5*l = -3*j - 40, -2*l = -4*l + j + 15. Suppose 3 = l*i - 12. Suppose i*c + 15 = 8*c.
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{
"pile_set_name": "DM Mathematics"
}
|
ppose -5*s - 5*f = -250, 3*s - i*f + 2*f - 130 = 0. Is s a multiple of 10?
False
Let z(o) = -2*o**3 - o**2 + 3*o - 8. Let r(u) = -3*u**3 - 2*u**2 + 5*u - 15. Let x(f) = -3*r(f) + 5*z(f). Does 2 divide x(0)?
False
Suppose -2*w = -2*b + b - 141, -351 = -5*w + b. Let g = -23 + w. Does 17 divide g?
False
Suppose 365 + 127 = 12*g. Suppose -26 = j - g. Is 6 a factor of j?
False
Suppose -2*j - 3*d = -441, 2*d - 485 - 634 = -5*j. Does 9 divide j?
True
Let o(r) = 229*r**2 - 57*r - 8 - 6 - 233*r**2. Is 47 a factor of o(-12)?
True
Suppose 8 = 4*w - a, -2*w + 5*a - 12 - 2 = 0. Suppose 3*y - 89 = -2*j, -w*j - y + 0*y + 123 = 0. Does 13 divide j?
False
Let j = -10 - -13. Suppose 103 = j*a - 170. Is 34 a factor of a?
False
Let a(r) = -30*r + 204. Is 17 a factor of a(-17)?
True
Let j(k) = 219*k**2 + 2*k - 3. Suppose 4*q - 6 + 2 = 0. Does 24 divide j(q)?
False
Suppose b - 8 = -2*h, h + b = -b + 7. Suppose -z = h*z. Suppose -2*s + 16 = 2*q - z*q, -q = 1. Is s a multiple of 9?
True
Suppose -8*a + 486 = a. Suppose a + 66 = 2*g. Is 5 a factor of g?
True
Let j = 450 + 210. Is 12 a factor of j?
True
Let y = 5 - 3. Suppose 10*g - 384 = y*g. Is 24 a factor of g?
True
Let d = 862 + -614. Does 4 divide d?
True
Suppose -3*c + 1189 = 8*r - 3*r, r = c + 241. Does 3 divide r?
False
Let g(b) = -12*b + 2*b - 5*b - 3*b - 2. Does 28 divide g(-6)?
False
Let t(u) = 2*u + 0 + u + 2*u - 2. Let a be t(4). Is 9 a factor of (-3)/a - 1055/(-30)?
False
Let v be -3 - (49 + 5)/(-1). Let l = 285 - v. Is l a multiple of 15?
False
Suppose 8*b = 4*b + 20. Suppose -5*a + 4*g + 445 = -0*a, -b*a - 4*g = -445. Let n = -20 + a. Is 18 a factor of n?
False
Let j = 179 - -445. Is j a multiple of 26?
True
Let p be (1/3)/(14/2856). Suppose -5*w + 2*o + p = 0, 3*w - o + 5*o = 46. Does 11 divide w?
False
Suppose 424 + 186 = 5*i. Suppose 5*y = -i + 427. Is 4 a factor of y?
False
Let a be (0/(-1))/((-2)/2). Suppose a = 4*s - 0*n - n - 185, -2*s - 5*n + 87 = 0. Is 7 a factor of s?
False
Let m be (-2)/5*(-14 + 4). Suppose q - 2*q = -m. Suppose 4*b + q = -j + 44, 2*b = -2*j + 74. Does 18 divide j?
True
Let r = -1163 - -1762. Does 7 divide r?
False
Let j = 75 - 75. Suppose j*l + v - 58 = -l, 177 = 3*l + 2*v. Is 13 a factor of l?
False
Let v = 48 - 35. Let c be ((-2)/4)/((-1)/(-2)). Does 8 divide v - (c + -1 + 1)?
False
Suppose -3*a + 244 - 700 = 0. Let c = a + 317. Does 15 divide c?
True
Let s(n) = -n**3 + 20*n**2 + 72*n - 33. Is s(23) a multiple of 4?
True
Suppose 5*h - 2*h - 336 = 0. Let i be 2 + 2*-13*-1. Suppose 0 = -2*j + h + i. Does 15 divide j?
False
Let p(s) = 2*s - 13. Let c be (-2)/4 + 37/2. Is p(c) a multiple of 4?
False
Suppose 0 = -0*x - x + t + 181, -950 = -5*x - 4*t. Is x a multiple of 30?
False
Let i = 3 + -8. Let q(h) = h**3 + 4*h**2 + 2*h - 1. Let r be q(i). Let v = -21 - r. Is v a multiple of 5?
True
Let h(d) be the second derivative of -4*d**5 + d**3/6 - d. Let n be h(-1). Suppose 2*l - 82 = -4*b + 30, 3*b = -4*l + n. Is b a multiple of 7?
False
Let f = -18 - -25. Let c = 157 - 158. Let x = c + f. Is x a multiple of 3?
True
Let l(r) = 2*r**2 - 15*r + 7. Let w = 8 + -2. Let i be l(w). Let j = i - -26. Is 15 a factor of j?
True
Let c = -2055 + -483. Does 9 divide c/36*4/(-6)?
False
Let t(p) be the third derivative of p**6/120 + p**5/12 - p**4/4 - p**3/2 - 4*p**2. Let j be t(-5). Let m = j + 2. Is 10 a factor of m?
False
Let z = 50 + -46. Suppose 0 = 2*h - 2*o - 3*o - 77, o + 163 = z*h. Does 5 divide h?
False
Is (456/(-10))/((-24)/240) a multiple of 24?
True
Let r(j) = -452*j + 324. Is r(-4) a multiple of 17?
False
Let k(f) = -4*f - 2. Let o be k(13). Let h = -25 - o. Is 5 a factor of h?
False
Suppose 4*s = 3*t + 992, 4*t = -4*s + 3*t + 992. Let f = s + -160. Does 22 divide f?
True
Suppose -320 = 3*g - 11*g. Does 8 divide g?
True
Let w(g) = -3*g + 26. Let z be w(9). Let t(f) = -71*f - 4. Is 18 a factor of t(z)?
False
Let i be (4 - (2 - 2))/2. Does 46 divide ((-3)/9)/(i/(-276))?
True
Suppose 3*h + 3*b - 695 = h, 4*h = -2*b + 1370. Is h a multiple of 5?
True
Suppose 608 = -6*p + 14*p. Is p a multiple of 2?
True
Let a(t) = 4*t + 9*t + 14*t - 21*t - 63. Does 11 divide a(16)?
True
Let k(w) = 4*w - 8. Is 4 a factor of k(25)?
True
Suppose -2*k - 7*t + 1674 = -9*t, -2529 = -3*k - 3*t. Is 20 a factor of k?
True
Is (-1)/(-1) + 189 + 16/16 a multiple of 42?
False
Let q = 32 - 29. Suppose -44 = -i - i - 2*x, 0 = -q*i - 5*x + 62. Let l = 59 - i. Is l a multiple of 5?
True
Suppose s = 5*j - 545, 0 = 3*j + 2*s - 5*s - 327. Suppose j = 9*w - 350. Is 18 a factor of w?
False
Let g be 24/30*10/4. Suppose g*j - 11 = -j - n, 2*n = -j - 3. Suppose j*a + 2*b = 261, 2*a - 2*b - 93 = b. Does 17 divide a?
True
Let z(i) = -7*i + 4. Let k = -28 + 45. Let w = 11 - k. Does 11 divide z(w)?
False
Let o(i) be the third derivative of i**5/20 - i**4/12 - i**3/3 - 20*i**2. Is o(-1) a multiple of 3?
True
Suppose -7*x + 2578 = -3008. Suppose 30*p - 33*p = -x. Is p a multiple of 40?
False
Suppose 944 + 1576 = 4*r. Is 10 a factor of r?
True
Is (-6)/(1/1)*-4 a multiple of 8?
True
Let u = 85 - 49. Suppose -3*k - 7 = -5*j - u, 0 = -j + 2. Does 4 divide k?
False
Suppose 66 = 296*g - 302*g. Let s(d) = -2*d**2 + 12 + 4 - 6*d - 18*d. Is 19 a factor of s(g)?
True
Let d(x) = -x**2 - 3*x. Let t be d(-4). Let w be ((-126)/t)/(-3)*2. Let q = 9 - w. Is q a multiple of 17?
False
Suppose 84*n = 12934 + 7310. Does 15 divide n?
False
Let k(d) = -d**3 + 7*d**2 - 7*d + 6. Let p = -25 + 30. Does 7 divide k(p)?
True
Let q be 4/(-1)*5/(-5). Suppose q*r = -26 + 114. Is 22 a factor of r?
True
Let p(c) = -8*c**2 + 7*c - 16. Let z(s) = s**2 - s + 1. Let y(x) = -p(x) - 2*z(x). Is 21 a factor of y(5)?
False
Suppose -5*n + v + 50 = -10, 4*n = 4*v + 48. Suppose -8*f + n = -4*f. Suppose -3*z - f + 33 = 0. Is z a multiple of 7?
False
Let g(m) = 1481*m + 21. Is g(1) a multiple of 105?
False
Let l(s) be the second derivative of s**5/20 + 3*s**4/2 + 7*s**3/3 - 11*s**2/2 + 21*s. Does 10 divide l(-17)?
True
Let f(u) be the third derivative of -u**6/120 + 2*u**5/15 - 7*u**4/24 + 4*u**3/3 - 18*u**2. Is f(7) a multiple of 6?
False
Suppose 23*g - 21*g = 0. Is 4 - (g + -4 + 4) a multiple of 4?
True
Suppose 2*q + 88 = -94. Let p = q + 175. Is 8 a factor of p?
False
Let h(c) = -17*c + 0*c + 3 - 2. Is 7 a factor of h(-2)?
True
Let c(p) be the second derivative of -p**4/12 - p**3/3 - 3*p**2/2 - 12*p. Let u(s) be the first derivative of c(s). Does 8 divide u(-7)?
False
Let o(v) = -316*v + 3. Let j be o(-2). Suppose 5*b = 26 - 1, -b - j = -5*f. Is f a multiple of 28?
False
Let v(j) be the first derivative of 19*j**2/2 + 17*j - 28. Does 18 divide v(8)?
False
Let s = -1345 - -3642. Is 8 a factor of s?
False
Let j be 4/((-3)/4 + 1). Is (-2)/8 + 612/j + -4 a multiple of 34?
True
Let i(w) = -16*w + 4. Suppose 14 = -3*f + 8. Does 12 divide i(f)?
True
Let i = 741 + -480. Is 7 a factor of i?
False
Let z(o) = 0*o + 40*o**2 + 32*o**2 - 6*o + 1 + 5*o. Let m be z(1). Let x = 112 - m. Is x a multiple of 10?
True
Suppose 9*o = 12*o - 1413. Is 34 a factor of o?
False
Let m(o) = 5*o + 3. Let c be m(-2). Let n be ((-33)/55)/(2/10). Is 2 - c - (-6)/n a multiple of 3?
False
Suppose -4*b + 229 = -71. Suppose 2*h = -0*a - a + b, -3*a - 3*h = -234. Is 28 a factor of a?
False
Let d = -150 + 235. Suppose -3*n + 5*t = -0*t - d, -5*t = 4*n - 90. Suppose o - 6*o = -n. Does 5 divide o?
True
Let l(b) = b - 9 - 10 + 0*b + 24. Let a be l(0). Suppose 7*o - 26 = a*o. Does 6 divide o?
False
Suppose -102*o + 42*o = -22260. Is o a multiple of 53?
True
Let o be ((-1)/5 + 1)*5. Let s(l) = -l**3 - o*l**2 + 16*l + 0*l**2 - 22*l - 4. Does 4 divide s(-4)?
True
Let i(a) = a**2 + 26*a - 47. Does 46 divide i(-39)?
True
Is -2*(638/(-4))/1 a multiple of 29?
True
Suppose -67*o - 5436 = -76*o. Is o a multiple of 16?
False
Let n(m) = -15 + 10 + m**2 - 7*m + 11. Let g be n(8). Suppose -g + 5 = -r. Does 2 divide r?
False
Let q = -8 + 11. Let i be 3/(6/(-2)) + q. Suppose b - 72 = 2*s - 6*s, -i*s = -3*b - 50. Is 6 a factor of s?
False
Let k = 668 + -547. Is k a multiple of 2?
False
Suppose -10*d - 5*d = 255. Let m(z) = -z**2 - 17*z + 32. Is 8 a factor of m(d)?
True
Suppose v + 4*v - 350 = 0. Suppose -q = -4*q - 129. Let k = v + q. Does 19 divide k?
False
Let w(b) = -33*b**2 + b - 1. Let d be w(-2). Let k = 193 + d. Let f = -24
|
{
"pile_set_name": "DM Mathematics"
}
|
)*4/(-34).
-2/17
What is the value of ((34639/(-2115))/67)/(33/(-18))?
2/15
Calculate 5/3*25/(-250)*(-4)/1.
2/3
What is the value of 6/20*(-104)/(-78)*50/4?
5
Evaluate ((-7)/(-6))/(-77*(-2)/88)*39.
26
Calculate (((-84)/147)/((-48)/(-56)))/((-2)/(-15)).
-5
Calculate 7*15*40/2100*27/(-2).
-27
(-84)/(-48)*((-4)/42)/(-2)
1/12
What is ((19720/(-4165))/(-116))/((-3)/((-42)/8))?
1/14
Calculate (6/(-16))/(2370/3792).
-3/5
Evaluate ((-441)/6615*5/2)/((-12)/80).
10/9
Evaluate (5/5)/((-1)/((-35)/(-7))).
-5
(-1)/(1/(-6))*(-11431)/(-24495)
14/5
What is ((-36)/162*9)/1?
-2
Calculate -7*(268/(-603))/(6/27).
14
Evaluate (135/27)/(-5*(-1)/(-2)).
-2
What is (-159)/53*3*(-13)/(-9)?
-13
What is (10/(-40)*(-4)/(-1))/19?
-1/19
Evaluate ((-72)/(-84))/(231/196*2).
4/11
What is 9/((-135)/20)*(-20)/(28320/36)?
2/59
Calculate ((-8)/70)/(1046/(-2615)).
2/7
(-980)/(-343)*210/(-20)
-30
Calculate -1*(2880/(-20))/(-9).
-16
-6*((-26)/(-4))/((-357)/238)
26
What is ((-3)/(-5)*-9)/(6/(-10))?
9
What is the value of ((-2)/(-2))/(19722/3114)?
3/19
(164/410)/((-4)/4)
-2/5
6*(-3)/(-10)*14/798*-19
-3/5
Calculate (((-2)/(-36))/((-1)/8))/(16/(-504)).
14
Calculate (2/((-16)/6))/(5280/704).
-1/10
What is the value of ((-13)/(-104)*-12)/(6/(-24)*102)?
1/17
What is the value of (-10)/6*(-1194)/995?
2
((-3)/(-6)*2)/(147/(-1617))
-11
What is the value of 4/78*96/64?
1/13
Calculate (-1)/2*4*-3*90/(-36).
-15
Evaluate 3036/138*(-2)/(-4).
11
What is (-23)/31395*21*5?
-1/13
(1*-3)/((-25)/((-2500)/(-850)))
6/17
Calculate 15/10*(2/(-18))/((-28)/1344).
8
Evaluate (((-180752)/237)/52)/(3/((-18)/8)).
11
Evaluate 11/11*(-5)/((-25)/4).
4/5
Evaluate (370/(-1628)*22)/(-2*(-2)/(-4)).
5
What is the value of ((29*-1)/((-3)/(-1)))/((-1358)/(-4074))?
-29
What is the value of (-9)/4*2/(-6)*-16?
-12
Calculate ((-203)/232)/((-16)/128).
7
12/26*(-32175)/675
-22
((232/(-87))/((-2)/(-6)))/(8/8)
-8
(-205)/3280*(-9)/(-6)*12/9
-1/8
((-18)/144)/(15/40)
-1/3
Calculate (-27)/2*798/(-1197).
9
Evaluate ((-2)/12)/((-195)/520).
4/9
((-26)/390)/((-50)/3750)
5
What is (((-18)/240)/((-4)/(-10)))/(-3)?
1/16
What is ((-14)/(-6))/(119/(-9282)*65/(-10))?
28
Calculate 312/(-130)*(-20)/(-12)*2.
-8
Evaluate (-4)/(-44)*(-6)/6*81/27.
-3/11
154/924*(-54)/(-5)
9/5
26/260*5*0
0
((-1)/((-9)/((-3)/1)))/((-977)/(-20517))
-7
What is the value of ((-380)/(-304))/(10/96)?
12
(-5)/(-3)*53/1060*408
34
Calculate (-45)/(-2)*27/(-1701)*-14.
5
Evaluate (4/6)/((-24)/128*(-28)/(-63)).
-8
What is ((340/20)/(-34)*2)/((-31)/2)?
2/31
What is the value of 5/2*(-177)/(-3540)*(-36)/(-3)?
3/2
Evaluate -8*-2*(-7)/(13832/(-19)).
2/13
Evaluate (27*(-25)/14175)/((-3)/7).
1/9
What is the value of (-20)/(-15)*(-7)/(-42)?
2/9
Evaluate 7/(-35)*(-1)/(-1)*10.
-2
Evaluate (784/1344)/(14/(-6)).
-1/4
What is ((-168)/(-420))/((-19)/(-5)*1/(-1))?
-2/19
Calculate ((-702)/36)/(5*12/(-80)).
26
What is the value of ((-9)/4)/((-303)/1616)?
12
Evaluate ((-1275)/2295)/((-5)/6).
2/3
Evaluate 25695/571*(-2)/(-30).
3
(2/(-2))/((-2)/(17/(153/72)))
4
Evaluate (((-170)/35)/(-17))/(-2*45/(-42)).
2/15
Calculate -1*((-3276)/8)/(-13)*26/39.
-21
What is (((-264)/20)/11)/((-33)/(-25))?
-10/11
Evaluate 6/(3/3)*(-5)/(-6).
5
Evaluate 58/(15544/201)*(-8)/(-15).
2/5
9*(-94)/(-423)*12/(-20)
-6/5
What is (((-8)/(-4))/((-20)/(-30)))/((-45)/2)?
-2/15
((-202)/303)/((-136)/(-36))
-3/17
Evaluate ((-68)/(-170))/((-8)/180*(-12)/(-16)).
-12
What is (-35)/(-966)*-3*-7*(-6)/105?
-1/23
Calculate ((-1584)/132)/(((-18)/15)/2).
20
((-68)/153)/((-22)/9)
2/11
What is the value of -7*2/(-42)*-2*(-12)/(-8)?
-1
What is the value of (12/(-1))/(-24)*(-144)/(-9)?
8
Evaluate -5*63/135*12.
-28
Calculate (24/70)/((-13)/(-5))*791/226.
6/13
Evaluate ((-2)/(-54))/(-1*(-7)/(-84)*4).
-1/9
Evaluate 2/4*-5*(-54)/(-27).
-5
Calculate ((-83)/25896*-52)/(-1*1/4).
-2/3
What is (2/(-10))/(900/1125)?
-1/4
(9*(-80)/(-168))/((-5)/(-210)*15)
12
Calculate (4/8)/(39/(-858)).
-11
What is the value of -24*782/(-184)*(-2)/17?
-12
Evaluate (-63)/6*1040/728.
-15
(((-196)/(-21))/(-1))/(4/36*-6)
14
(152/(-19))/(968/(-66)*(-3)/2)
-4/11
What is (-220)/(-20)*(-1)/1?
-11
((-56)/(-30))/(284/2130)
14
What is the value of (16/(-28))/((-48)/12)?
1/7
Calculate 6*2/(-6)*(-6)/(12/(-17)).
-17
Calculate 4*(-2)/(-2)*17*(-3267)/6732.
-33
((-9108)/15939)/(2/(-70))
20
Calculate (-9)/(-1)*(612/27)/(-17).
-12
What is the value of 17/(357/(-21))*7?
-7
What is the value of (-8)/(-64)*(-480)/6?
-10
-19*((-323)/19)/17
19
208/(-676)*4/(-24)
2/39
Calculate 22/110*15*(-3)/(-27).
1/3
Evaluate (-5)/(9*(-5)/45).
5
Evaluate 2*((-4)/14)/(((-8)/56)/1).
4
What is the value of ((-2)/7)/(207*14/882)?
-2/23
Evaluate (-4)/(3/(195/52)).
-5
Evaluate (5/25)/((-2)/((-200)/(-4))).
-5
What is (60/8)/(1023/(-124))?
-10/11
What is ((-10)/3)/((-32)/(-64)*(-12)/9)?
5
Calculate (154*42/98)/(2/((-1)/1)).
-33
Calculate ((63/14)/9)/(5*4/40).
1
What is (-16)/7*107/(-856)?
2/7
(2/(-16)*1)/((-52)/((-9568)/69))
-1/3
Calculate 1771/(-69)*(-3)/7.
11
(((-396)/30)/22)/(3/5*-21)
1/21
Evaluate (((-1122)/27)/(-17))/(4/9*1).
11/2
What is 3/(-29*(-9)/783)?
9
What is the value of (10*5/(1925/(-42)))/(-3)?
4/11
What is 63/30*4/6*40/64?
7/8
Evaluate (125/(-4))/((-5)/4).
25
What is the value of (-5)/650*(-312)/48?
1/20
What is the value of (3*(-10)/675)/(-1*(-8)/400)?
-20/9
Evaluate ((-36)/162)/((-6)/648*-3).
-8
What is the value of (18/(-22))/((-51)/1122)?
18
(-45)/(-10)*(-268)/134
-9
(34*364/1547)/(-11*2/1)
-4/11
13/((-13)/1)*(-14)/(-2)
-7
What is the value of ((80/(-25))/((-2)/(-15)))/(4/(-2))?
12
Calculate ((-5000)/(-750))/((-5)/(-12)).
16
((-32730)/(-7637))/(10/(-84))
-36
What is (-80)/15*-3*(-4)/8*1?
-8
What is the value of 1440/1260*(-14)/4?
-4
((-221)/(-51))/((-546)/(-42))
1/3
Evaluate 13/8*(-174)/(-87).
13/4
Calculate (40/2)/(7/(-28)*8).
-10
Evaluate -11*12/(-110)*-5.
-6
6/(60/35)*-2
-7
Calculate (4/8)/(835/(-334)).
-1/5
What is the value of (-48)/(-140)*(100/(-35))/(12/14)?
-8/7
Calculate ((-135)/(-10))/3*8*(-35)/(-84).
15
Evaluate (-3)/(((-12)/(-14))/((-32)/1456*-338)).
-26
What is (19/(874/69))/((-3)/10)?
-5
((-1520)/900)/38*-10
4/9
(94/((-8272)/(-132)))/((-1)/(32/(-6)))
8
-26*17/238*-7
13
What is the value of 3/39*(-31)/(-62)*1*6?
3/13
What is ((-2)/(-11))/(1150/120175)?
19
Calculate 3/(4*(-57)/988).
-13
What is (-315)/798*1235/(-195)?
5/2
What is the value of 4384/5206*(-19)/(-2)*2/1?
16
What is (((-15)/70)/((-12)/(-14)))/((-11)/4)?
1/11
(10/(-570))/((-36)/(-54))
-1/38
Calculate 7/(15/((-630)/(-14)))*(-1)/(-18).
7/6
What is the value of (29/((-928)/24))/((-63)/(-616))?
-22/3
Evaluate (-250)/4250*-1*(-3)/(-3).
1/17
((-4)/(-5))/(((-1560)/25)/24)
-4/13
Calculate (-48)/22*(-924)/(-168).
-12
Calculate 9/27*1*((-21)/(-245))/(-1).
-1/35
What is 1/(-1)*-26*15*(-24)/(-720)?
13
Evaluate (100/(-10))/10*(-1)/1.
1
What is the value of ((-12)/9)/((-14)/(798/(-323)))?
-4/17
What is the value of (4/(-11))/(188/(-1034))?
2
What is the value of (2/(-48)*2)/(25/225)?
-3/4
Calculate (-12)/(-18)*12*(-19)/(-8).
19
Calculate ((-2032)/(-1524))/(4/(-33)).
-11
Evaluate (-11*20/(-385))/(1/(105/(-10))).
-6
Evaluate ((-60)/(-45)*(-3)/(-36))/((-6)/(-4)).
2/27
Evaluate ((-225)/(-750))/(6/40)*(-3)/(-3).
2
What is the value of ((105/(14/2))/(-1))/(30/(-36))?
18
What is the value of (6/(-12))/((-2035)/110)?
1/37
What is the value of 510/(-120)*20/5?
-17
Calculate ((45/20)/3)/(18/(-672)*-7).
4
(-2)/1*305/(-61)
10
2/((342/90)/19)
10
Evaluate 15*(-12)/(-72)*-2.
-5
(-135)/(-240)*20/180
1/16
(3/(-171))/(((-3)/54)/(2/4))
3/19
What is the value of (-5*(-48)/(-180))/(33/27*-3)?
4/11
What is the value of ((-254)/(-635))/(((-3)/20)/3)?
-8
What is (-333)/370*(-10)/36?
1/4
(1020/(-221))/((-240)/(-2080))
-40
What is the value of (248/1860)/((-6)/20)?
-4/9
What is -24*((-5565)/(-126))/(-53)?
20
What is ((-16)/20)/((112/315)/8)?
-18
Calculate 7/(-70)*-2*-5*-1.
1
What is the value of ((1100/(-7381))/(-25))/((-6)/(-33))?
2/61
What is (((-1)/8)/1)/(4236/16944)?
-1/2
What is the value of ((1575/(-5))/35)/9?
-1
What is the value of (2/63)/(((-170)/(-1530))/((-1)/3))?
-2/21
What is the value of ((-2)/(-6)*54/20)/((-342)/(-684))?
9/5
Evaluate (15/25)/(2/(-3)*(-252)/60).
3/14
Calculate 63/(-9)*(-10)/21*3348/(-465).
-24
Calculate 224/(-196)*(9/(-6))/((-9)/(-12)).
16/7
(-17)/((-952)/70)*(-2)/5
-1/2
What is ((-45)/30)/((330/48)/11)?
-12/5
What is 32/14*(-1890)
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate b(-2).
-7
Let g(n) = 4*n**2 + 75*n - 106. Determine g(-20).
-6
Let a(p) = -2*p**2 + 20*p - 8. Give a(0).
-8
Let c(r) = 3*r**2 + 10*r - 6. What is c(-4)?
2
Let p(g) = -g - 33. Calculate p(0).
-33
Let i(h) = -h**2 + 15*h + 53. What is i(-3)?
-1
Let q(l) = l**3 + 3*l**2 - 29*l + 2. What is q(4)?
-2
Let j(q) = 3*q + 41. Determine j(-14).
-1
Let v(z) = -z**3 - 7*z**2 - 7*z. What is v(-8)?
120
Let v(p) = p**3 - 16*p**2 + 6*p - 35. Give v(16).
61
Let x(k) = 2*k**3 + 9*k**2 + 10*k + 2. What is x(-2)?
2
Let v(d) = -2*d + 3. Calculate v(0).
3
Let g(n) = -n**2 - 2*n + 1. Calculate g(2).
-7
Let o(z) = -4*z**2 - z - 8. Give o(4).
-76
Let c(r) = -r + 10. What is c(-13)?
23
Let c(a) = a**3 - a**2 - 5*a + 5. What is c(3)?
8
Let k(y) = 6*y. Determine k(-6).
-36
Let l(w) = w**3 - 28*w**2 - 25*w - 111. Determine l(29).
5
Let b(o) = 5*o**2 - 11*o - 37. Calculate b(-3).
41
Let n(c) = -c**3 - 17*c**2 - 30*c - 31. What is n(-15)?
-31
Let c(v) = -v**3 - 38*v**2 - 36*v + 72. Determine c(-37).
35
Let q(t) = 7*t + 2. Determine q(0).
2
Let z(o) = o**2 + 13*o - 10. Calculate z(-14).
4
Let y(u) = -u**2 - 9*u + 7. Give y(-9).
7
Let b(y) = y**3 + 15*y**2 - 50*y + 74. Determine b(-18).
2
Let g(v) = -45*v**2 - v - 2. What is g(-1)?
-46
Let c(v) = 2*v**2 - 18*v - 73. Give c(12).
-1
Let g(o) = o**3 - 4*o**2 + 3*o - 7. What is g(3)?
-7
Let d(n) = -n**2 + 6*n - 3. Calculate d(7).
-10
Let q(r) = r**3 + 19*r**2 - 42*r + 3. Calculate q(-21).
3
Let c(u) = u**3 - 7*u**2 - 6*u - 3. Calculate c(8).
13
Let t(s) = s**3 - s**2 - 10*s + 10. What is t(-3)?
4
Let l(n) = n**2 - 6*n + 15. Give l(6).
15
Let x(b) = b**3 + 14*b**2 + b - 27. Give x(-14).
-41
Let b(h) = h**3 + h**2 + 3*h - 3. What is b(1)?
2
Let c(u) = -u**3 + 8*u**2 + 11*u + 3. Determine c(9).
21
Let c(z) = z**3 - 3*z**2 + z + 3. What is c(2)?
1
Let z(o) = o**2 - 10*o. Calculate z(7).
-21
Let j(f) = 2*f**2 - 7*f - 48. What is j(-4)?
12
Let k(m) = m - 34. Give k(13).
-21
Let g(l) = 312*l + 1880. Determine g(-6).
8
Let z(b) = -b**3 + 5*b - 6. Calculate z(2).
-4
Let c(t) = t**3 - 6*t**2 + 2*t - 17. Calculate c(6).
-5
Let c(d) = 250*d + 253. Give c(-1).
3
Let l(h) = h**3 - 7*h**2 + h + 3. Give l(7).
10
Let d(b) = -9*b + 24. What is d(11)?
-75
Let b(v) = -9*v + 164. Determine b(18).
2
Let m(r) = -r - 2. Give m(2).
-4
Let f(y) = y**2 + 17*y + 48. Calculate f(-9).
-24
Let c(t) = 3*t**3 - 1. Give c(1).
2
Let f(x) = x**2 - 3*x - 193. Give f(0).
-193
Let p(b) = b**3 + 8*b**2 + 5*b - 13. Give p(-7).
1
Let w(q) = 4*q - 191. Determine w(45).
-11
Let h(x) = -4*x. Determine h(2).
-8
Let y(f) = f**3 - 3*f**2 - 7*f + 2. What is y(5)?
17
Let a(v) = v**3 - 3*v**2 - 5*v + 14. Determine a(3).
-1
Let y(x) = -x**3 - 3*x**2 - 5*x - 7. Give y(-5).
68
Let o(y) = 32*y - 124. What is o(4)?
4
Let t(d) = d**3 - 50*d**2 + d - 55. Give t(50).
-5
Let w(r) = -3*r - 7. What is w(-6)?
11
Let j(n) = n**2 + 12*n - 4. Calculate j(-8).
-36
Let v(z) = -z + 1. Give v(0).
1
Let q(v) = -v**2 + 6*v + 13. Calculate q(6).
13
Let k(p) = 3*p + 2. Determine k(21).
65
Let x(j) = -j**3 - 6*j**2 + 9*j + 7. Calculate x(-7).
-7
Let z(j) = j**2 - 5*j + 4. Determine z(3).
-2
Let v(p) = -p**3 + 30*p**2 - 29*p - 45. Calculate v(29).
-45
Let l(p) = 4*p - 2. Calculate l(2).
6
Let c(w) = -24*w**2 - 10*w + 7. What is c(1)?
-27
Let m(u) = -3*u - 4. Calculate m(-7).
17
Let b(f) = -f**2 - 10*f - 21. What is b(-6)?
3
Let d(c) = 4*c - 1. What is d(2)?
7
Let j(x) = x**2 + 55*x - 972. Give j(14).
-6
Let a(f) = -10*f - 52. Give a(-4).
-12
Let v(i) = 14*i + 632. What is v(-45)?
2
Let f(m) = m**3 - 8*m**2 - m + 4. Give f(0).
4
Let a(g) = -5*g - 8. Give a(5).
-33
Let u(i) = i**2 - 63*i - 3. What is u(0)?
-3
Let f(z) = -2*z + 5. What is f(-7)?
19
Let f(k) = -31*k + 2. Determine f(2).
-60
Let c(q) = 45*q + 79. Give c(-2).
-11
Let s(t) = t**2 - 4*t - 4. Give s(-2).
8
Let r(h) = 3*h**2 + h + 4. Determine r(0).
4
Let s(m) = -m**3 - 7*m**2 + 7*m - 7. Determine s(-8).
1
Let w(l) = l**2 - l + 5. What is w(4)?
17
Let a(c) = -5*c + 119. Calculate a(26).
-11
Let v(y) = 10*y**3 + 2*y**2 - y - 2. Give v(-1).
-9
Let m(r) = 4*r**2 + 8*r - 6. What is m(3)?
54
Let f(d) = -d**2 - 5*d - 6. Calculate f(-5).
-6
Let q(l) = -9*l + 12. Calculate q(6).
-42
Let o(a) = 4*a + 73. What is o(-13)?
21
Let s(x) = 9*x - 5. Give s(-4).
-41
Let o(m) = -m**2 + 2*m + 3. Give o(-4).
-21
Let n(l) = l**3 - 5*l**2 - 7*l + 40. Determine n(5).
5
Let r(w) = -3*w - 22. Give r(-9).
5
Let t(z) = z**2 - 68*z + 1032. Determine t(23).
-3
Let y(n) = n**3 + 7*n**2 - 9*n + 6. Give y(-8).
14
Let p(m) = 7*m - 107. Calculate p(13).
-16
Let l(i) = -16*i**2 + 2*i + 1. Give l(2).
-59
Let b(q) = -2*q**3 - 4*q**2 - 2*q + 1. Calculate b(-1).
1
Let w(u) = 2*u - 67. Determine w(22).
-23
Let f(n) = 29*n - 112. Give f(4).
4
Let c(w) = w**2 + 2*w - 2. What is c(-9)?
61
Let h(v) = -v**2 + 14*v + 114. Determine h(-6).
-6
Let m(i) = i**2 + i + 47. What is m(0)?
47
Let t(j) = j**2 + 10*j - 22. Calculate t(-12).
2
Let w(r) = 3*r**2 - 2*r. Give w(-2).
16
Let f(g) = -5*g + 9. Calculate f(4).
-11
Let k(g) = -43*g - 379. Calculate k(-9).
8
Let z(o) = o + 12. Give z(15).
27
Let m(r) = -r**2 - 26*r + 47. What is m(-25)?
72
Let n(s) = 2*s**3 - 4*s**2 + 5*s - 2. Give n(3).
31
Let j(y) = 15*y + 189. Calculate j(-14).
-21
Let c(d) = 21*d + 15. Give c(8).
183
Let f(r) = -3*r**2 - 2. Calculate f(0).
-2
Let l(p) = 2*p. Give l(-5).
-10
Let t(b) = -8*b - 28. What is t(-3)?
-4
Let t(v) = -4*v + 3. Calculate t(0).
3
Let w(y) = -y**2 - 22*y - 1. Give w(-22).
-1
Let y(g) = g + 4. What is y(6)?
10
Let l(y) = -9*y + 66. What is l(15)?
-69
Let q(s) = -4*s**2 + s + 1. Determine q(-1).
-4
Let w(i) = -i - 69. What is w(0)?
-69
Let q(a) = 2*a**2 - 44*a + 34. Give q(21).
-8
Let n(u) = -29*u + 9. Calculate n(2).
-49
Let q(k) = k**2 + k - 6. What is q(-5)?
14
Let q(g) = -g**2 + 11*g + 1. Determine q(7).
29
Let m(y) = y**2 - 11*y + 2. Determine m(10).
-8
Let d(w) = -23*w - 5. What is d(3)?
-74
Let q(y) = -y**2 - 14*y + 1. Determine q(-11).
34
Let d(x) = x + 3. Determine d(-4).
-1
Let q(t) = -10*t**2 - t. Give q(-1).
-9
Let w(t) = t - 3. Calculate w(-4).
-7
Let o(i) = -i**2 + 7*i + 14. Determine o(-6).
-64
Let i(f) = 2*f - 27. Give i(14).
1
Let g(w) = w**2 - 4. Determine g(2).
0
Let q(s) = 9*s + 12. What is q(-5)?
-33
Let x(k) = 13*k + 4. Determine x(3).
43
Let r(p) = p**2 - 9*p + 6. Give r(6).
-12
Let i(w) = 7*w**2 - 5*w. What is i(3)?
48
Let x(r) = -r**3 - 9*r**2 + 20*r - 18. Calculate x(-11).
4
Let d(t) = t**3 + 2*t**2 - 6*t - 10. Give d(-3).
-1
Let t(j) = -j**3 - 15*j**2 + 3*j + 28. Calculate t(-15).
-17
Let a(d) = 4*d**3 + 2*d**2 - d + 1. Calculate a(1).
6
Let d(m) = 31*m - 956. Give d(31).
5
Let b(s) = s**3 - 16*s**2 + 11*s - 16. Calculate b(15).
-76
Let f(a) = -a**3 + a**2 + 2*a + 3. What is f(0)?
3
Let v(c) = c**3 - 12*c**2 + 15*c - 15. What is v(11)?
29
Let d(w) = 5*w + 22. What is d(-9)?
-23
Let b(f) = -19*f. Give b(2).
-38
Let z(f) = f**2 + 14*f - 1. What is z(-12)?
-25
Let s(w) = -3*w + 18. What is s(-13)?
57
Let i(j) = -15*j - 335. What is i(-22)?
-5
Let h(y) = 2*y**2 + 48*y + 280. What is h(-13)?
-6
Let l(x) = 2*x**3 + 6*x**2 - 5*x + 7. Give l(-5).
-68
Let f(d) = -50*d - 1. Give f(-1).
49
Let m(j) = -j + 6. Calculate m(6).
0
Let f(g) = -27*g + 7. Determine f(2).
-47
Let u(k) = 2*k**2 - k + 1. What is u(2)?
7
Let v(k) = 2*k**3 - 9*k**2 - 4*k - 3. Give v(5).
2
Let c(b) = b + 9. Give c(-9).
0
Let u(p) = 3*p**2 + p + 5. Determine u(-2).
15
Let r(l) = -2*l. Determine r(11).
-22
Let i(s) = 2*s**2 + 28*s - 71. Give i(-16).
-7
Let f(r) = 6*r + 84. What is f(-10)?
24
Let x(a) = a**3 + 14*a**2 - 3*a - 18. Determine x(-14).
24
Let v(l) = -2*l + 4. Calculate v(9).
-14
Let c(z) = -16*z - 2. What is c(-2)?
30
Let w(d) = d**3 + 5*d**2 + 8*d + 4. Give w(-4).
-12
Let w(u) = 3*u**2 + 5*u. Give w(-4).
28
Let z(s) = -s**3 + 21*s**2 - 22*s + 35. Calculate z(20).
-5
Let i(d) = -d**2 + 6*d + 283. Calculate i(20).
3
Let q(o) = o**3 + 19*o**2 + 19*o + 22. What is q(-18)?
4
Let r(l) = 7*l + 27. What is r(0)?
27
Let i(g) = -4*g**2 + 8*g + 2. Calculate i(4).
-30
Let p(h) = -h**2 + 18*h - 31. Calculate p(17).
-14
Let k(q) = -q**3 - 7*q**2 - 4*q + 10. Calculate k(-6).
-2
Let l(g) = 2*g**3 + 13*g**2 + 2*g - 7. What is l(-6)?
17
Let g(k) = -k**3 + 3*k**2 + k - 2. What is g(2)?
4
Let p(w) = -2*w**2 + 4*w - 5. Dete
|
{
"pile_set_name": "DM Mathematics"
}
|
48 for z.
0
Solve 3*z - 81 = 5*o, 15*z + 37752 = -13*o + 37473 for o.
-18
Solve -4*j - 3*b = -2, 3*b + 10021 - 5013 = -10*j + 5022 for j.
2
Solve -3*r - 48 + 8 = 25679*a - 25681*a, 0 = 3*a + 12 for r.
-16
Solve -4 = -2*q - a, -4*q - 4177*a + 4180*a + 8 = 0 for q.
2
Solve 3*c - 4*c - 61 = -11*m - 5*c + c, 0 = 2*m - 48*c + 620 for m.
2
Solve -105*f + 53*f = -2*g - 53*f - 8, g - 6*f - 35 = 0 for g.
-1
Solve -3*g - 68 = -0*x - 4*x, -6*g + 161 - 123 = -2*x - 9*g for x.
5
Solve -2*q - 32 = 2*d, 2*q = 106*d - 106*d - 3 + 1 for d.
-15
Solve -3 - 36 = -q, 15*q = -21*d + 16*d + 590 for d.
1
Solve -124 = 2*n + c - 3*c, -4*n + 8*c - 5*c + 37 = 4*c for n.
-5
Solve n - 27 = -11*j - 42 - 15, -2*n + 40 = -3*j for j.
-4
Solve -5*j - 1254 + 1214 = -3*y, -4*j - 24 = -4*y for y.
-5
Solve -36 = 5*n - 3*w + 93 - 40, -3*n + w = 27 for n.
2
Solve -2*c - 2 = -4*x, c = 5*x + 463 - 449 for x.
-5
Solve -11*b = -11, 6*b - 2*b - 19 = 5*t + 69 + 81 for t.
-33
Solve -r - 5*c + 26 = -r - r, 7*c - 6801 + 6727 = -6*r - 2*r for r.
4
Solve 31184*v - 31187*v - 105 = 5*a, 0 = -5*a - v - 105 for a.
-21
Solve 142*w + 212 = 8*g + 146*w, -2*g + 4*w = 202 for g.
1
Solve 38 = -8*c - 2*p, -379*c + 384*c = 8*p - 33 for c.
-5
Solve 10*s - 5*i = 70, 5*s + 3*i - 17 = 6*i + 23 for s.
2
Solve u + 21*u + 147 - 75 = 4*b, -36 = 5*b + 4*u for b.
-4
Solve -171*z + 131*z = 2*b - 1318, -3*z + 31 = -2*z + 2*b for z.
33
Solve 2*o + 6393*s = 6395*s + 58, -5*o = 6*s + 119 for o.
5
Solve 4*u - 1 + 21 = -4*i, -80*i + 52*i + 6 = -16*i + u for i.
1
Solve -4*d - 5*x - 93 = 0, -2*x - 24 = 43*d - 96*d + 59*d for d.
3
Solve -27*h = -6207*v + 6205*v - 99, 2*v = -4*h - 6 for h.
3
Solve -450 = 5*h + 8*n, 45*n - 81*n + 289 = -7*h - 41*n for h.
-2
Solve 0 = 5*o, 7*o = -4*x + o - 0*o - o + 200 - 208 for x.
-2
Solve 0 = -3068*t + 3064*t - 3*m - 33, -5*m + 3 = -3*t for t.
-6
Solve -948*u - 13 = 5*x - 946*u + 25, -2 = -x - 10*u for x.
-8
Solve 2*j + 1 = -3*w, 2*j = 2947283*w - 2947287*w + 4 for j.
-8
Solve -8*v + 4*v - 146 = -5*c, -84*v = 2*c + 2*c + 232 for c.
26
Solve -4*l - 3*u + 47 = 0, -22 = -u - 10 + 3 - 10 for l.
8
Solve 9*i + 19*t - 46 = 14*i - 3*i + 13*t, 2*i - 3*t = -25 for i.
-2
Solve 19*k - 13*k + m = 5 - 3, k - 14 = 3*k + 4*m for k.
1
Solve u = 2*u + 3*u + c, 21*u - 12*u + 13*u + 2*c = 4*u - 41*u for u.
0
Solve -12 = -2*j - 0 - 4, -43*l - 4*j + 40 = -40*l for l.
8
Solve 0 = 99*f - 96*f - 12, -2*a - 46*f - 90 = -48*f for a.
-41
Solve -w + 4*g - 1814674 = -1814521, 4*g = -4*w + 168 for w.
3
Solve 23*w + 4*m + 6 = 0, w - 86*m + 83*m = -17 + 58 for w.
2
Solve -2*y + 28 - 15 = 48*b - 105 - 304, 0 = 3*y - 3*b + 42 for y.
-5
Solve -7*c + 381 = k, -17107*k + 17112*k = -4*c + 231 for c.
54
Solve g - 29*m + 27*m = 37, -3*m - 27 = 8*g for g.
3
Solve -3*q - 2*g = 36, 2975*q - 198 = 5940*q - 2980*q + 8*g for q.
2
Solve -2*x - 110 = -2*m, 4986675*x - 4986674*x + 39 = -3*m for m.
4
Solve 0*u + 5*u - 4*n - 44 = 0, 5*u - 72*n - 33 = -69*n for u.
0
Solve -4*p - 34*q - 228 = 0, -16698*q = 2*p - 16707*q - 42 for p.
-6
Solve 7*z - 4*k = 26, 5*z - 362*k + 364*k + 3 = 7 for z.
2
Solve -4*k - 5*w - 20 = 3*w - 0, -5*w = -5*k - 10 for k.
-3
Solve 25*w - 23*w + 12 = 3*o + 12, 3*w = -3*o for w.
0
Solve 2*a + 2*w = 52, 6*a + 4*w - 19 - 93 + 62 = 98 for a.
22
Solve 72 = 3*h - 12*p, 89*h + 5*p = 25*h + 56*h - 104 for h.
-8
Solve 0 = -g + 5*g - 12*t - 5*t - 6*t + 200, -g - 2*t + 28 = -4*g for g.
-4
Solve 40 = -5*s, -2*k - 30983 + 31025 = -4*s for k.
5
Solve n = 78*u + 63, 5*n - 315 = -0*u + 9*u - 10*u for u.
0
Solve 28*w = 7*l - 77, -4*l + 2 - 2 - 5 = -w + 11 for l.
-5
Solve 0 = -5*z + 83*a + 145*a - 1343, -5 = 5*z + 5*a - 30 - 30 for z.
5
Solve 2*t - 50*i = -51*i - 33, t + 19*i + 590 = 0 for t.
-1
Solve 61*d - 63*d = 11*y - 6, -3*y - 140 = 8*d for y.
4
Solve c = -49*u + 194, 3*u + 67596 - 67598 = -5*c for c.
-2
Solve 3*q - 7*q = 24*h + 84, 8*h + 8 + 19 = -0*h - q for h.
-3
Solve 651*j - p - 10*p = 650*j - 4*p - 5*p + 12, 3*j - 76 = -34*p for j.
14
Solve 7*y = 5*a - 66, 5*y + 151*a + 87 = 159*a for y.
-3
Solve -48*w + 23 = -45*w - i, -4*w - 236 = -2*i + 14*i for w.
1
Solve 2*o - 40*z = -252, 12033*z + 122 = -3*o + 12029*z for o.
-46
Solve 0 = 4143*n - 4141*n - 3*p + 2*p - 75, 5*n - p = 186 for n.
37
Solve 2*i - 48*m + 45 = 713, 0 = 3*i - m - 8 for i.
-2
Solve -1385430*i - 12 = -5*l - 1385436*i, -4*l - 3*i + 6 = 0 for l.
0
Solve -4*j - 3*w - 36 = 0, 304 = -j - 4*w - 301 + 596 for j.
-9
Solve -129450*q - 3*v = -129447*q - 27, -3*q - 8 = -4*v for q.
4
Solve -q = 4*f - 7, 67 = 3*f - 90597*q + 90601*q for f.
-3
Solve -5*g = 4802*k - 4802*k + 50, 0 = 3*k - 4*g - 55 for k.
5
Solve -13*d = -2*j + 63, 274*j + 274*j - 11 - 58 = 3*d + 543*j for d.
-3
Solve b = -10*q - 58, -604*q + 599*q = -4*b - 97 for q.
-3
Solve -3*n + 45 - 20 = 75*u + 37, 0 = -5*n - u - 20 for n.
-4
Solve -4*v - 45 - 2 + 14 = 2*q + 39, 11*v = 3*q - 232 for q.
4
Solve 2*j + 0*t + 3*t - 29 = 0, 0 = 34850*j - 34848*j - 4*t - 22 for j.
13
Solve z - 110*h + 62*h = -2686, -z = 5*h - 282 for z.
2
Solve 4*z - 28 + 1 = 3*s, -10*s = 93*z - 96*z - 3 for s.
3
Solve 321*u - 6 = 322*u - c, -139*u = -4*c + 564 for u.
-4
Solve -7*x + 46 = 5*q + 61, 5*q - 19 - 21 = 4*x for q.
4
Solve 3*z - 8*z + 2*i - i = -25 + 4, 14 = -2*z + 6*i for z.
5
Solve -989*i + s - 283 = -984*i, -3*i = -18*s + 135 for i.
-57
Solve -17*k + 7 - 25 = 7*k + 266*p - 267*p, -2*k - 166 = -4*p for k.
1
Solve 14*t - 5*u + 10 = -49, 3*t + 39 = 3*u + u for t.
-1
Solve -3*v - 36*w = -189, -776439 = 5*v + 5*w - 776809 for v.
75
Solve 2243*o + m - 917 = 2474*o, 0 = 2*o + 5*m + 43 for o.
-4
Solve 6*p - 4*o - 5 = p + 196, 3*p = -2*o - 117 for p.
-3
Solve v - i = -22, -32239*v + 91 = -32244*v + 4*i for v.
-3
Solve 27*y = -3*l - 2*l + 31*y + 13, -4*l - 35*y - 260 = -0*l + l for l.
-3
Solve -4*h = 3*l - 89, -4*h - 4*l + 721 = 597 for h.
-4
Solve 0 = -241*z - 239*z + 475*z - 4*y - y + 15, 0 = 7*z - 5*y + 51 for z.
-3
Solve 162*j - 4*v + 580 = 0, 3*v + 43 = 3*v - 3*v - 8 for j.
-4
Solve 9*i + i - 4*r + 0 + 6 + 4 = 4*i + 2*i - 2, 0 = -5*r for i.
-3
Solve 98 = 5*t + 3*n, 23*t - 24*t - 5*n + 0 = -24 for t.
19
Solve -3*y - 16 = n, 6*n - 4*n + 1525 - 1529 = 0 for y.
-6
Solve 0 = -l - z - 1, -6*z = 2*l - 40 + 46 for l.
0
Solve 0 = 2*x + p - 47, -5*x + 3*p = 1332 - 1224 for x.
3
Solve -4*a - z + 13 = -52, -7 + 50 = 3*z + 52 for a.
17
Solve 2*x - 5*w - 15 = 0, x - 10*w + 28*w = 15*w + 10*w + 30 for x.
-5
Solve 6096*x = -v + 4*v + 6097*x - 5, -3*v = 12*x + 12*x - 120 for v.
0
Solve 0 = -14*m + 12*m + 2*f + 1 + 1, -36*m - 99*f + 101*f - 202 = 0 for m.
-6
Solve 808*w + 572 = 75*w - 894, w - 2*w + 2*w = 4*a - 22 for a.
5
Solve -4*a = 3*z - 148, -233449*a - 476 = -233463*a for z.
4
Solve 2 = 4*s + 7*n, -69*n = -16*s + 13*s - 31*n - 85 for s.
-3
Solve -1753*s - 1759*s + 6 = -q - 3511*s, 3*s = -4*q + 11 for q.
-1
Solve 0 = -3*b - 4*s + 147 - 9 - 81, b - 255 = -21*s for b.
3
Solve 3*b = 2*o - 19922 + 19864, 3*o = -5*b - 0*b - 103 for o.
-1
Solve -23 = 5*k + 2*y, -k = -55*y + 50*y + 12 - 2 for k.
-5
Solve 106 = d - a + 97, -4*d - d - 170*a - 1180 = 0 for d.
2
Solve 8*d + 386 = -f + 293, 0 = -4*f - 4*d - 36 for f.
3
Solve 8*y + h + 14 = 6*y + 3*y, -8*h - 29*h - 557 = 2*y for y.
-1
Solve 6*a - 18 = 2*a + 6*a + 19816*x - 19815*x, -2*x = a + 15 for a.
-7
Solve 24*c = -5*m + 10*c + 13*c + 6, -186 = -2*m + 20*c for m.
3
Solve -2*u + 17*x - 59*x + 46*x = 6, 5*x = -5*u + 30 for u.
3
Solve -3*m + 160*a - 7 = 159*a, -3*m = -232*a + 931 for m.
-1
Solve 0 = 2*z - 7*g + 229, 155*z + g = 152*z + 5*g - 129 for z.
1
Solve -2*y = 11*i - 43, -4*y - 2309*i - 39 = -2312*i for y.
-6
Solve -5*p - 4 = -w, -3*p = -4*w + 58964 - 58999 for w.
-11
Solve 2*t - 5*h - 16 = 0, 2*t - 2*h + 4 - 8 = 9 + 3 for t.
8
Solve 2*w - 33 = c, -164*c + 169*c + 145 = 5*w for c.
-25
Solve -5*y + 40 = -5*g, 3*g - 89*y + 598 + 928 = 68*y - 500 for g.
5
Solve 0*m + 3*m - 24*p + 12 = 0, 11*p - 1 = 4*m - 7 + 22 for m.
-4
Solve -26813*g + 26814*g - y = y - 8 - 2, 18*g = 4*y - 52 for g.
-2
Solve -30 = 3*r - 5*c, -8*r - 16*c + 323 - 103 = -13*r + 147 for r.
-5
Solve -1963*w + 1961*w - 22 = 12*l, -3*w - l - 4 + 4 = 16 for w.
-5
Solve -496*q = -5*v - 4*v - 237*q - 262*q - 60, 5*q + 61 = -2*v for v.
-3
Solve -4*n = 2*x + 12, -599*x + n = 3977 - 383 for x.
-6
Solve b - 26 = -0*b + 12*s - 11*s + 21*s, -4*s = 2*b
|
{
"pile_set_name": "DM Mathematics"
}
|
is the smallest value? (a) 0.07 (b) 5/19 (c) 4 (d) 2 (e) -28
e
Which is the fifth smallest value? (a) 0.05 (b) 12 (c) -0.3 (d) -5 (e) -2/15 (f) -7/2
a
Which is the biggest value? (a) 5 (b) 0.05 (c) 8/107
a
Which is the biggest value? (a) 0.5 (b) 3 (c) -5 (d) -0.3 (e) 0 (f) -447
b
Which is the third biggest value? (a) 3 (b) 4 (c) 11576 (d) 0.3
a
What is the second biggest value in 29/72, 3, 1/5, -0.01, -1, -0.5?
29/72
Which is the fifth biggest value? (a) 2/5 (b) 44 (c) -5 (d) -0.4 (e) 4
c
Which is the second smallest value? (a) 0.5 (b) -1/5 (c) -5 (d) 3 (e) -1/10 (f) 1/4
b
Which is the smallest value? (a) -3/4 (b) 14.8 (c) -2/21
a
What is the third biggest value in -4/21, -11/7, 7?
-11/7
Which is the second smallest value? (a) 180 (b) 0.3 (c) -14 (d) 0.2
d
What is the third smallest value in 3/8, 0, 39/4, -3/14, -4?
0
Which is the fourth smallest value? (a) 10 (b) -770 (c) 0.3 (d) 4
a
Which is the third biggest value? (a) 10/7 (b) -58 (c) 48
b
What is the fourth smallest value in -2, 5, -1/6, 0, -2/5?
0
What is the second smallest value in 5, 2/11, -4/5, 0.6?
2/11
Which is the biggest value? (a) 1/15 (b) -2/5 (c) 2/5 (d) 0.19 (e) -1 (f) 39
f
Which is the fourth biggest value? (a) -1251/7 (b) -2/37 (c) 2/5 (d) 6/7 (e) 5/3
b
What is the fourth biggest value in -0.1, 0, -516/143, -1/8?
-516/143
What is the second biggest value in 0.01, 0, 178, 4/7?
4/7
What is the second biggest value in -4, -1/4, -0.11, 0, 2/11, 0.2?
2/11
What is the biggest value in 2351, 1, 0.2?
2351
What is the smallest value in 1/5, 0.07, 18, -0.5, 0.4?
-0.5
Which is the fourth smallest value? (a) 2/41 (b) -34174 (c) 2 (d) 1
c
Which is the biggest value? (a) -1/10 (b) -2/10875 (c) -8 (d) -2 (e) 0.4
e
What is the smallest value in -3/5, 3/4, -19, -2?
-19
Which is the second smallest value? (a) 5 (b) -2 (c) -5 (d) 218 (e) 0.6
b
Which is the biggest value? (a) 37 (b) 1/15 (c) 20
a
Which is the fifth biggest value? (a) 48/17 (b) -2 (c) -5 (d) -2/11 (e) -1/2
c
Which is the second smallest value? (a) -5 (b) -3/2 (c) -2/33 (d) -757
a
Which is the third smallest value? (a) -0.04 (b) 2/9 (c) -0.1 (d) 1.5 (e) 5 (f) 0
f
Which is the third smallest value? (a) 2 (b) -2/7 (c) -0.021 (d) -207/5
c
What is the third smallest value in -3/5, -2/9, -0.03, -685, 2/7, 0?
-2/9
Which is the biggest value? (a) 2/9 (b) 5.02 (c) 1/6
b
Which is the second biggest value? (a) 4 (b) 309/5 (c) 0.3 (d) -0.4 (e) -5 (f) -1/4
a
What is the smallest value in 1916, -3, 0.7?
-3
Which is the fifth biggest value? (a) 0.5 (b) -5 (c) -0.5 (d) -0.6 (e) 645
b
What is the smallest value in -1/4, 431, -5?
-5
What is the smallest value in -4, -2, -2/519249?
-4
Which is the fourth biggest value? (a) -0.219 (b) -4/5 (c) 2/7 (d) -3 (e) 2
b
Which is the biggest value? (a) -1.1 (b) -0.4 (c) -30 (d) -3/5 (e) -0.3
e
Which is the biggest value? (a) -1 (b) -1910 (c) -2/11
c
What is the third smallest value in 4, -1, -459, 29?
4
Which is the fourth biggest value? (a) 3 (b) 1.14 (c) -0.2 (d) 2.6
c
Which is the third biggest value? (a) 8 (b) 0.4 (c) -5 (d) 53 (e) -2
b
Which is the fourth biggest value? (a) 7 (b) -4/9 (c) -857 (d) 4
c
What is the biggest value in -3, 61, -0.3, 0.1377?
61
Which is the smallest value? (a) 1.0603 (b) -4 (c) 0.5 (d) -0.1
b
Which is the fourth smallest value? (a) 7 (b) 4 (c) 2 (d) 857
d
Which is the second smallest value? (a) 2/5 (b) -6 (c) -0.5355
c
What is the second smallest value in -344, -2/67, 2?
-2/67
What is the smallest value in 5, -2, 7830?
-2
What is the fourth smallest value in -3, 2/11, 0.4, 7/6, 0.1, -2/5?
2/11
Which is the fourth smallest value? (a) -1.6 (b) -0.7 (c) -2 (d) -26 (e) 2
b
What is the fourth smallest value in 4/11, 2, 3, -1/4367?
3
What is the second smallest value in -3/5, 3, -57.514, 0?
-3/5
Which is the fifth smallest value? (a) 3 (b) 5 (c) -0.1 (d) -194 (e) -3
b
What is the third smallest value in 6, 4/7, 0.015, -6?
4/7
What is the fourth biggest value in -3, -1/3, 3, 41, -0.045, 5?
-0.045
Which is the third biggest value? (a) 4 (b) 2589 (c) -2/5 (d) -2 (e) 0.1
e
What is the fifth biggest value in 19, -3, 0.111, -1, 1/12?
-3
What is the smallest value in 18, 0.3838, 5?
0.3838
Which is the third biggest value? (a) -0.4 (b) 1385 (c) 0 (d) -1/6 (e) 1 (f) 1/3
f
What is the fourth smallest value in -5.7, -1/9, 615, 3?
615
What is the second biggest value in -2/71, 1.3, -3/7?
-2/71
Which is the second biggest value? (a) -0.5 (b) -5 (c) 1/2 (d) 1 (e) 135
d
What is the smallest value in 6, 0.74, 13.6, 4, 5?
0.74
What is the third smallest value in -20/13, -15/4, 1?
1
Which is the third smallest value? (a) 0 (b) -5 (c) 2 (d) 1/400
d
What is the smallest value in -23.9, -7, 2, 368, -3?
-23.9
What is the fourth biggest value in 0.1, 0.5, -1.1938, 5?
-1.1938
What is the biggest value in -2.2, -19/7, 0.1, 4/3?
4/3
Which is the third smallest value? (a) -1532 (b) 3 (c) -0.0581
b
Which is the fifth biggest value? (a) -9 (b) -3 (c) 2 (d) -2/7 (e) 0 (f) -4/9
b
What is the fourth smallest value in -1/10, 38573, 0.5, 11?
38573
Which is the fourth smallest value? (a) -0.046 (b) 3 (c) -2/3 (d) 8/9
b
Which is the second biggest value? (a) -1/9 (b) 0.085 (c) -149
a
Which is the second smallest value? (a) -5/2 (b) 5 (c) -16 (d) 66
a
What is the fifth biggest value in -4/3, -2/9, -12.1, -0.15, -8?
-12.1
Which is the second biggest value? (a) 4 (b) 2 (c) 1619 (d) 0.7
a
What is the fourth biggest value in 370, -7, 0, -1?
-7
What is the fifth smallest value in -2/3, 36, 5, 0.1, 2, 0.5?
5
What is the biggest value in -2, -1/4, -20, -0.41, -3, 5/3?
5/3
Which is the fourth smallest value? (a) -4/7 (b) -2 (c) -0.2 (d) 0.3 (e) -0.04 (f) 2/47
e
Which is the third smallest value? (a) -0.105 (b) 2 (c) 0 (d) -35
c
Which is the third smallest value? (a) -0.07 (b) -95 (c) -1 (d) -3.2
c
Which is the biggest value? (a) 1 (b) -8 (c) 1/7 (d) 0.2 (e) -2/17
a
What is the sixth biggest value in 0.06, 5, -0.1, 3, 0, -24?
-24
What is the smallest value in -4, 2, 21/4, 0.1, -2.88?
-4
What is the third biggest value in -63, 3, -1, -3, 4?
-1
What is the third smallest value in -1009/3, 0.6, -76?
0.6
Which is the second biggest value? (a) 1/4 (b) 0 (c) 1/3 (d) 2 (e) 1/6 (f) 4/3
f
Which is the third biggest value? (a) -4 (b) 16426 (c) 2/7
a
What is the fourth biggest value in -8, -5, 2252, -0.1?
-8
What is the second biggest value in 3/4, 2/17, 3/7, -3/28?
3/7
Which is the fourth biggest value? (a) -1/2 (b) 566 (c) 0.31 (d) -5
d
Which is the fourth biggest value? (a) 26 (b) -28 (c) 5/4 (d) -0.5
b
Which is the second smallest value? (a) 3 (b) 6 (c) -1/1000
a
Which is the second biggest value? (a) -0.4 (b) 0.4 (c) 2 (d) 158 (e) 0.5
c
What is the second biggest value in 0.2671, -241, 0.3?
0.2671
What is the third smallest value in -1, 2822, -9/5?
2822
What is the third biggest value in -67, 2, -28, -37, -12?
-28
What is the third biggest value in 1/783, -0.06, -2?
-2
Which is the fifth biggest value? (a) 1 (b) 11 (c) 4 (d) -6/11 (e) 22/3
d
What is the smallest value in -3, -1/6, 0.2, -5.125?
-5.125
Which is the third biggest value? (a) -1 (b) -300 (c) -13 (d) 0.2 (e) -3
e
What is the smallest value in 5, -1, 3, -81, 15?
-81
Which is the third biggest value? (a) 5 (b) 0.06 (c) 1 (d) 4.2
c
Which is the fourth smallest value? (a) -3.5 (b) 0.02 (c) -2 (d) -2/9 (e) 0
e
Which is the smallest value? (a) 4/9 (b) -11 (c) 20 (d) 3
b
Which is the fourth smallest value? (a) -1 (b) 0.5 (c) -1475 (d) -4 (e) -2
a
Which is the second biggest value? (a) 1/7 (b) 0.4 (c) 87276
b
Which is the fifth smallest value? (a) 2/17 (b) -3 (c) -141 (d) 2 (e) -1/27 (f) 4
d
What is the third smallest value in 0.03, -0.2, 126/19?
126/19
What is the second biggest value in 2/9, -0.17, -5, 0.3, 6?
0.3
Which is the third smallest value? (a) -277 (b) -144 (c) 0.5 (d) -1/13
d
What is the second smallest value in -5, -57, -1.4, -1.43?
-5
Which is the biggest value? (a) 0.2 (b) 8 (c) -1/8 (d) -0.5
b
What is the smallest value in -14, -0.1, 2/7, 12?
-14
What is the fourth smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
denominator of 99/4 and t.
4
Let o = 220595505/622 + -354655. Find the common denominator of o and -101/2.
622
What is the common denominator of (-3)/(-6) + ((-4669)/312)/23 and 61/16?
624
Suppose 0 = l - 2 - 1. Let u(o) = -o**2 + 14*o - 11. Let i be u(11). Calculate the common denominator of l/4*(-92)/i and 121/40.
440
Suppose 3*n = 13 - 4. Let f be ((-4)/(-6))/(16/(-456)). Let p = f - -21. What is the smallest common multiple of n and p?
6
Let p = 7683 - 138205/18. What is the common denominator of 109/168 and p?
504
Let v be (-32)/20 + (-2)/5. Let a be ((-5)/10)/(v/12). Suppose 0 = i + a*i - 16. Calculate the least common multiple of 22 and i.
44
Let j(m) = 4*m - 4. Let a be 3*(8/6)/(12/(-66)). Let t = 29 + a. Calculate the lowest common multiple of j(3) and t.
56
Suppose 0 = 5*h - 5*z - 100, -3*h + 40 = -3*z + 5*z. Calculate the lowest common multiple of h and 176.
176
Suppose 5*o - 9 + 59 = 0. Let b = 19 + -11. What is the smallest common multiple of b and ((-36)/(-10))/((-2)/o)?
72
Let r = 351 - 343. What is the least common multiple of 70 and r?
280
Suppose 0 = 4*i - 2*q + 14, 7 + 7 = -3*i + 5*q. What is the smallest common multiple of (2 - (-32)/10)/(i/(-15)) and 10?
130
Let f = 11721/8 + -1462. Calculate the common denominator of f and 33/4.
8
Suppose -142 + 52 = -3*x. Let v = -32 + x. What is the lowest common multiple of ((-45)/v)/9*4 and 22?
110
Let f = 2191/792 - 63/22. What is the common denominator of f and -62/117?
936
Suppose 2*g - 10*g + 16 = 0. Let t = 17 + -8. Calculate the lowest common multiple of ((-20)/(-8) + -2)/(g/12) and t.
9
Suppose g + 3*b - 63 = 0, 0 = 2*g - 4*b + 13 - 149. Calculate the common denominator of -5/9 and g/(-18) - (-2)/(-5).
45
Let y(n) = n**3 + 34*n**2 - 73*n + 52. What is the least common multiple of y(-36) and 88?
88
Suppose -x + 81 = -3*z + 229, 3*x + 4*z + 392 = 0. Calculate the common denominator of -17/25 and ((-3)/12)/((-15)/x*-2).
75
Let o be 3 - 0/3 - 1. Suppose 0 = o*y - 34 + 8. Find the common denominator of 555/(-26) + (-2)/y and -4/11.
22
Suppose -58*o + 65*o = 1036. Calculate the common denominator of -151/6 and o/(-40) - (0 - 3).
30
Let c(a) = a**2 - 10*a - 5. Let v be c(11). Suppose -2*d + 208 = v*d. Calculate the lowest common multiple of 8 and d.
104
Suppose 5*d = 5*k - 10, 3*k - 4*d - 3 = 2. Suppose 10*v = k*v + 35. Suppose -11 = t + v*b, t + 3*b + 1 = -t. What is the least common multiple of 16 and t?
16
Let p be -1*5/((-20)/(-24)). Let x = -1057 - -11650/11. Calculate the common denominator of 4*45/220*16/p and x.
11
Let k = 19709/48 - 821/2. Calculate the common denominator of k and 29/12.
48
Let i(k) = -30 + 14 + 13 + k + 11. Calculate the lowest common multiple of i(-5) and 30.
30
Let h = 2279 + -18201/8. Find the common denominator of 3/391 and h.
3128
Let d be ((-3)/6)/((-3)/24). Suppose 0 = 4*y + y. Suppose g + 2*j = y, 20 = d*g - j + 4*j. Calculate the lowest common multiple of 8 and g.
8
Let w = 1/4495 + -76439/107880. Find the common denominator of w and (2/48)/((-4)/1016).
24
Find the common denominator of 0/3 - (-34)/11 and (-6)/4 + (-10)/(220/(-3)).
11
Let v be ((-3)/(-3))/((-1)/2598). Let y = -28608/11 - v. What is the common denominator of y and ((-2)/(-3))/((-28)/(-318))?
77
Let i(x) = -4*x. Let s be i(-7). Suppose -13*q = -209 - 129. Let y = s - q. Calculate the least common multiple of y and 10.
10
Let t = 38 + -38. Calculate the least common multiple of 100/5*(1 + t) and 16.
80
What is the smallest common multiple of 63 and (-13)/(156/560)*(-6)/4?
630
Suppose -3*x - 546 = -606. Calculate the lowest common multiple of x and 362.
3620
Let v = 22 + -10. Suppose 2*p + v = -p. Calculate the common denominator of 6*p/88*4 and 123/10.
110
Suppose -4*u + 57 = 5*z, 4*z = 5*z - 2*u - 3. Calculate the least common multiple of 9 and z.
9
Let b = 15 - 8. Suppose 2*o - 55 = 5. What is the smallest common multiple of b and (-1)/(o/(-9) + 3)?
21
Suppose 0 = -0*g + g - 32. Suppose -5*c - 48 = -5*w + 3*w, 2*c - 20 = -2*w. What is the least common multiple of g and w?
224
Let q(i) = i**3 + 2*i**2 + 20*i - 4. Let u be q(-8). What is the common denominator of -97/6 and (2/(-36)*u)/(24/9)?
12
Let l = 25 - 23. Let g be 14242/18*(-3)/l. Let n = 1191 + g. What is the common denominator of -119/6 and n?
6
Let u be (-2043)/(-1008) + 2/7. Let j = 1123/112 - u. Find the common denominator of 87/4 and j.
28
Suppose -2*s = p - 29, -3*s + 6*s = -2*p + 53. Suppose 2*u = 282 - 288. Let d = u + p. What is the least common multiple of 6 and d?
48
Let b = 26 - 22. What is the common denominator of ((-435)/(-700) - b) + (-9)/(-21) and -145/54?
540
Let x be (120/140)/((-1)/(-511)). What is the common denominator of (x/40)/((-9)/(-6)) and -21/10?
10
Let t = -13742 - -32664736/2377. Let b = t - 87971/26147. Let z = 42268/9 - 4689. Find the common denominator of b and z.
99
Calculate the least common multiple of (-15)/(-10)*(-100)/(-15) and 662.
3310
What is the common denominator of (151/(-4) + 0)*(-6)/45 and 49/2?
30
Let z = 875888603 + -5541747209441/6327. Let v = -2/703 + z. Let c = -18235/6 + 3046. Calculate the common denominator of c and v.
18
Let s(h) = 0 - 2*h**2 - 2 - 2*h**3 - 7*h**3 + h + 6*h**3. What is the least common multiple of s(-2) and 8?
24
Let t = 48 - 48. Suppose 4*a - 16 = -t. What is the lowest common multiple of a and 36?
36
Suppose -3*i = -3*o + o - 1, -2*i + o + 2 = 0. Let p(u) = -7*u**2 + 9 - 5*u**3 + 5*u**3 - 2*u**3 + u**3. Calculate the smallest common multiple of p(-7) and i.
9
Calculate the common denominator of (132/(-176))/((-10)/(-108)) and 62/237.
2370
Let k(t) = t + 13. Let q be k(-8). Suppose 0 = q*n - 84 - 6. Find the common denominator of -139/18 and (-88 + -1)/(n + -20).
18
Let a(y) = -y**3 + 16*y**2 - 15*y + 7. Let z(s) = s. Let m be z(-12). Calculate the least common multiple of a(15) and (-9)/m - 100/(-16).
7
Let p = 12 - 3. Suppose 62 + p = x. Calculate the common denominator of -107/14 and 0/4 - x/10.
70
Let r(f) = -f**2 + 11*f - 6. What is the least common multiple of (-17748)/(-442) + 2 + (33/39 - 3) and r(6)?
120
Let d = -204503/20 - -10228. Let p = 6895/4 - 1749. Find the common denominator of p and d.
20
Let r(v) = v**2 + 2*v - 29. Let u be r(8). Calculate the common denominator of (-5)/((-50)/u) - 3 and 27/7.
70
Suppose 2*j = 5*u - 1042, 2*j - 203 = -u - 3*j. Suppose 0 = -2*q + k + k + 96, -5*q + u = 3*k. What is the smallest common multiple of q and 32?
352
Let j be (-7)/(-7) - 10/2. What is the common denominator of (-11)/(-2) + (-2)/(-6) and 20/j - 95/70?
42
Let b = 17 + 7. Let d = -89 - -92. Suppose -d*j + 18 = -24. Calculate the least common multiple of b and j.
168
What is the common denominator of (-146)/30*6/(-4) and ((-12)/(-42))/1 - (-1354)/308?
110
Suppose 0*p - 5*p = 5. What is the common denominator of ((-15)/14)/(5/15) and (-2 + 50 + p)/(-6)?
42
Suppose 5*t - 3*h + 59 = 0, -28 = 6*t - 2*t + 4*h. What is the common denominator of 20/(-16) + 21/35 and (-3)/5*t/28?
140
Let f = 56 - 36. Calculate the lowest common multiple of (75/f - 4)*-4 and ((-8)/(-10))/((-3)/(-15)).
4
Let n(j) = 6*j + 15. Suppose 5*s = 3*s + 72. What is the smallest common multiple of s and n(-1)?
36
Let r = 3181 - 57377/18. Calculate the common denominator of r and (-82)/32 - 1/1.
144
Suppose 39*m - 65*m = -3536. What is the least common multiple of m and 1?
136
Let f(g) = -2*g - 10. Let t be f(-10). Let y = 15 - t. Suppose 4*x - 8 = 0, 0 = y*z - 6*z + 2*x + 14. What is the least common multiple of 18 and z?
18
Calculate the common denominator of ((-95)/105)/((-100)/70) and 103/18.
90
Let k = 23 + -401. Let u = k - -4577/12. Calculate the common denominator of 77/10 and u.
60
Let h = -16918 + 812101/48. Calculate the common denominator of -17/36 and h.
144
Let a(r) = r**2 + 5*r - 18. Let c(b) = -2*b**2 - 9*b + 36. Let p(l) = 11*a(l) + 6*c(l). What is the least common multiple of 2 and p(0)?
18
Let w(u) = -5*u + 5. Let g(b) = b**3 + 6*b**2 + 7*b + 9. Let a be g(-5). What is the lowest common multiple of 27 and w(a)?
270
Let y(v) = 2*v + 10. Let f be y(-7). Let n(x) = 2*x + 2. Let h be n(f). Let p = h + 20. Calculate the least common multiple of 2 and p.
14
What is the common denominator of ((-33)/(-660))/(0 + 4/730) and 67/2?
8
Let g be (-24186)/(-40) + 20/(-50). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
1, b: 2}.
3/14
Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {w: 4, p: 14}.
56/153
Four letters picked without replacement from {w: 10, l: 1, p: 4, t: 4}. Give prob of picking 2 w, 1 p, and 1 t.
60/323
Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {m: 2, h: 3, a: 10}.
24/91
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from ozoszoss.
3/14
What is prob of picking 1 p and 1 u when two letters picked without replacement from {j: 1, p: 2, u: 1}?
1/3
Four letters picked without replacement from ooeyaon. Give prob of picking 2 o, 1 n, and 1 e.
3/35
Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {m: 1, j: 5, p: 1, y: 2}.
5/36
Calculate prob of picking 3 u and 1 y when four letters picked without replacement from {u: 4, y: 1, i: 1, x: 5}.
2/165
Calculate prob of picking 2 y when two letters picked without replacement from {p: 4, y: 5, s: 7}.
1/12
Two letters picked without replacement from upeep. What is prob of picking 2 e?
1/10
What is prob of picking 1 j and 1 k when two letters picked without replacement from jjjrjpjjbpkbjrjtp?
1/17
Three letters picked without replacement from aigkbaaa. Give prob of picking 1 g, 1 k, and 1 i.
1/56
Two letters picked without replacement from tttz. What is prob of picking 2 t?
1/2
Four letters picked without replacement from pezzezepzz. Give prob of picking 2 z and 2 p.
1/21
Three letters picked without replacement from sidkdskkdiksdkdwss. Give prob of picking 3 s.
5/408
Three letters picked without replacement from aal. What is prob of picking 3 l?
0
Four letters picked without replacement from {n: 5}. What is prob of picking 4 n?
1
What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 4, f: 8, j: 5}?
4/17
Two letters picked without replacement from {e: 7, z: 3}. Give prob of picking 2 z.
1/15
Two letters picked without replacement from njnaajaatajjaaajja. Give prob of picking 2 n.
1/153
What is prob of picking 1 x and 3 f when four letters picked without replacement from {x: 2, f: 8}?
8/15
Calculate prob of picking 2 p when two letters picked without replacement from npp.
1/3
Two letters picked without replacement from emooqmeee. Give prob of picking 2 e.
1/6
Four letters picked without replacement from {v: 5, n: 2, j: 1, t: 2, g: 1, q: 2}. What is prob of picking 2 q and 2 n?
1/715
Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, v: 1}.
1/3
Three letters picked without replacement from iiii. Give prob of picking 3 i.
1
What is prob of picking 1 k, 2 i, and 1 z when four letters picked without replacement from {i: 2, z: 4, k: 1}?
4/35
What is prob of picking 2 z when two letters picked without replacement from zyvvyzyzvvbvbyyyyyyy?
3/190
Three letters picked without replacement from frrfffff. What is prob of picking 2 r and 1 f?
3/28
Two letters picked without replacement from kkkktkkktt. What is prob of picking 2 k?
7/15
Calculate prob of picking 4 x when four letters picked without replacement from {x: 6, o: 4, b: 10}.
1/323
Two letters picked without replacement from lwposwpopoo. Give prob of picking 2 p.
3/55
What is prob of picking 1 a, 1 q, and 2 o when four letters picked without replacement from {o: 2, q: 9, a: 5}?
9/364
What is prob of picking 1 p and 2 w when three letters picked without replacement from ppwpwwpwpppw?
7/22
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fubccbccccccbbv.
4/105
What is prob of picking 2 h when two letters picked without replacement from rhhhlrrhrhrhrrrrrrr?
5/57
Two letters picked without replacement from {d: 6, t: 3, i: 6}. Give prob of picking 2 d.
1/7
What is prob of picking 2 y, 1 m, and 1 i when four letters picked without replacement from bykbbbkmybmyybyiyb?
1/102
Four letters picked without replacement from {w: 6, q: 11, a: 1}. Give prob of picking 3 a and 1 q.
0
Calculate prob of picking 1 h, 1 m, and 2 e when four letters picked without replacement from hkhhhkekhhkmhhhhheh.
1/323
Two letters picked without replacement from {a: 2, j: 1, s: 1, z: 1, r: 1, p: 1}. What is prob of picking 1 j and 1 z?
1/21
What is prob of picking 2 c and 1 t when three letters picked without replacement from {t: 5, j: 6, c: 3, f: 1}?
3/91
Three letters picked without replacement from ckcc. Give prob of picking 1 k and 2 c.
3/4
Calculate prob of picking 1 u, 1 c, and 1 j when three letters picked without replacement from {d: 1, l: 8, e: 1, j: 7, u: 2, c: 1}.
7/570
Four letters picked without replacement from {c: 5, b: 7}. Give prob of picking 1 b and 3 c.
14/99
What is prob of picking 1 c and 1 b when two letters picked without replacement from {a: 1, c: 2, h: 3, b: 1}?
2/21
Two letters picked without replacement from kzxkkkpkh. Give prob of picking 1 h and 1 z.
1/36
Two letters picked without replacement from vssv. Give prob of picking 2 v.
1/6
What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyyyyqq?
55/78
Calculate prob of picking 2 r when two letters picked without replacement from {m: 6, r: 7}.
7/26
Three letters picked without replacement from {f: 3, w: 3, b: 1}. What is prob of picking 3 f?
1/35
Two letters picked without replacement from jxxejeejjexexxxx. Give prob of picking 2 e.
1/12
Four letters picked without replacement from {w: 4, z: 1, v: 3, i: 3, k: 2, y: 3}. What is prob of picking 1 z, 2 v, and 1 y?
9/1820
Three letters picked without replacement from {t: 3, k: 1, u: 5, p: 4}. What is prob of picking 1 t, 1 u, and 1 k?
15/286
Two letters picked without replacement from ukkkhkuhukhh. Give prob of picking 2 h.
1/11
What is prob of picking 3 w when three letters picked without replacement from wyyeynyenyrwywe?
1/455
What is prob of picking 1 y, 1 u, 1 e, and 1 d when four letters picked without replacement from {d: 1, y: 1, u: 3, e: 10, m: 2}?
3/238
Two letters picked without replacement from vvvvvvsvvvvsv. What is prob of picking 2 s?
1/78
Two letters picked without replacement from {w: 5, k: 1, h: 3, d: 3, p: 1}. Give prob of picking 1 d and 1 p.
1/26
Four letters picked without replacement from {r: 7}. Give prob of picking 4 r.
1
Four letters picked without replacement from {b: 7, a: 1, j: 4, i: 1}. What is prob of picking 1 j and 3 b?
28/143
Calculate prob of picking 3 w and 1 p when four letters picked without replacement from {p: 12, w: 1}.
0
Calculate prob of picking 2 q, 1 b, and 1 k when four letters picked without replacement from bbvkvvbqbvkkqkbqbb.
7/255
What is prob of picking 1 p and 2 o when three letters picked without replacement from opppppppoppoggop?
3/28
Two letters picked without replacement from {x: 3, w: 2, y: 4}. Give prob of picking 2 y.
1/6
Two letters picked without replacement from {g: 3, c: 2}. What is prob of picking 1 c and 1 g?
3/5
Two letters picked without replacement from vmgxgmdxgmgxxs. What is prob of picking 1 v and 1 m?
3/91
What is prob of picking 3 z when three letters picked without replacement from {z: 5}?
1
Calculate prob of picking 4 e when four letters picked without replacement from {z: 5, e: 5}.
1/42
Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, z: 4, h: 2, p: 4}.
6/91
What is prob of picking 1 q and 1 b when two letters picked without replacement from bbqqqbb?
4/7
Four letters picked without replacement from {o: 2, f: 13, s: 3, y: 2}. Give prob of picking 1 s, 1 o, and 2 f.
156/1615
Three letters picked without replacement from swwvaee. Give prob of picking 1 e and 2 w.
2/35
Three letters picked without replacement from {u: 1, v: 2, x: 1, c: 1, g: 1, q: 1}. What is prob of picking 1 x, 1 v, and 1 c?
2/35
What is prob of picking 1 o and 1 j when two letters picked without replacement from ojvjovjjjjjovjvjjjo?
44/171
Two letters picked without replacement from {m: 3, a: 11, o: 1}. What is prob of picking 1 o and 1 a?
11/105
What is prob of picking 2 t when two letters picked without replacement from {t: 2, l: 5, k: 5}?
1/66
What is prob of picking 2 e when two letters picked without replacement from lelwlewewel?
6/55
Four letters picked without replacement from {j: 1, d: 2, t: 2, w:
|
{
"pile_set_name": "DM Mathematics"
}
|
30 + 3 - -25.
66
Let q(v) = -v - 1. Let o be q(-5). Suppose -60 = -4*k - 0*i + 5*i, -i - 54 = -5*k. What is the smallest common multiple of k and ((-15)/o)/((-3)/16)?
20
Let y(f) = f**2 + 14*f + 21. Let w be y(-15). Suppose 0 = 3*p + 3*u - u - w, 2*u = 4*p - 48. What is the least common multiple of p and 14?
84
Suppose 0 = 3*b - 5*l + 37, -3*l = 4*b + 16 + 72. Let h(g) = -g**3 - 19*g**2 + 2*g + 40. Calculate the lowest common multiple of h(b) and 10.
10
Let y(a) = -3*a**3 - 5*a**2 + 15*a + 25. Calculate the lowest common multiple of y(-3) and 416.
416
Let m = -7921/3 - -52769/20. What is the common denominator of 101/10 and m?
60
What is the common denominator of 146/(-280) + 5/(40/6) and 28/3?
105
Let d be (-1)/(-6) - (-177)/18. Suppose 15 = 5*c + d. Suppose 2*o - 11 = 7. What is the lowest common multiple of c and o?
9
Suppose -4*m + 21 = 5. Suppose 14*q - 23*q = -90. What is the lowest common multiple of q and m?
20
Calculate the common denominator of (-1095)/(-300) + 2/(-5) and -53/188.
188
Let p(y) be the first derivative of y**2 - 23*y - 6. Suppose -4*k + 55 = 4*h - 3*k, -k - 49 = -4*h. What is the least common multiple of p(h) and 2?
6
Suppose 110 = 2*v - n - 4, 3*v - 162 = -3*n. Calculate the smallest common multiple of 42 and v.
168
Suppose -244 = 22*l - 18*l. Let r = l - -82. Calculate the lowest common multiple of r and 30.
210
Suppose 0 = -12*j + 167 + 313. What is the smallest common multiple of 25 and j?
200
Let d = 393860/59 - 6676. Find the common denominator of d and 73/6.
354
Let w be -7 + 10 - ((-16 - 2) + 1). Calculate the common denominator of (-79)/39 + w/(-30) and ((-1)/5)/((-6)/(-27)).
130
Let f(g) = 11*g**2 - 10 + g**3 - 1 - 5 - 2*g - 2. Suppose -5*h = -3*h - 18. What is the least common multiple of h and f(-11)?
36
Calculate the common denominator of ((-2)/(-8))/(5/(-34)) and (-12216)/(-720) - (-2)/(-15).
30
Let l = 119 + -111. Calculate the least common multiple of l and 8.
8
Find the common denominator of 11*(-58)/(-585) + (-36)/(-234) and 52/35.
315
Suppose y = 2*y - 3. Calculate the least common multiple of y and (-3 + 5)/(-1) + 17 + 3.
18
Let z(d) = -d**2 + 2*d - 24. Let j be z(8). What is the common denominator of 137/18 and 8/j*(-363)/(-2)?
18
Suppose -4*n + 247 = -5*t - 0*n, -104 = 2*t + n. Let q = -39 - t. What is the least common multiple of q and 26?
156
Calculate the common denominator of (2/(-5 + -59))/(7/133) and -41/6.
96
Suppose 2*s = 4*l + 12, -10 = -s + l - 2. Suppose -2*b + j = -4, 5*b - 2*j + 5*j - s = 0. Calculate the least common multiple of b and 2.
2
Suppose -3*n + 28 = -n - 4*b, 0 = -5*n + b + 34. Let r be ((-1)/(-3))/((-1)/(-9)). What is the common denominator of r/(-5)*(-28)/n and 37/7?
35
Let a = 601/459 + -21/17. Find the common denominator of 12/(-30) + (-284)/(-135) and a.
27
Let m be 14/10 + -1 - 69/(-15). Suppose -7*w = -m*w + 82. Calculate the common denominator of w and -125/6.
6
Suppose 120*h = 125*h + 5. Find the common denominator of 55/8 and (2/88*1)/(h/(-13)).
88
Suppose 14*h - 30 = 9*h. What is the lowest common multiple of h and 8?
24
Find the common denominator of ((-2)/36)/(2/((-4736)/272)) and 67/36.
612
Let m = -1335 - -1439. What is the least common multiple of 13 and m?
104
Let a(z) = -6*z - 3. Let p be a(4). Let m = -39 - p. What is the common denominator of (10/(-27))/(m/234) and 36/7?
63
Suppose -r + 2*r = 7. Let i = 15 + -12. Suppose -2*g + 10 = i*g. What is the smallest common multiple of g and r?
14
Let p(a) = a**2 + a - 1. Let x(l) = -4*l**2 + 11*l + 17. Let k(v) = -6*p(v) - x(v). Let s = 5 - 12. What is the least common multiple of k(s) and 6?
30
Suppose -4 = -4*b + 20. Find the common denominator of (-28)/10*b/24 and ((-2)/48)/((-726)/(-364) - 2).
60
Let b(y) = -y**3 - y**2 + 4. Let o be (-5 + -1)/(-6 - -4). Suppose 6*n = o*n - 9. What is the smallest common multiple of 16 and b(n)?
176
Let x(l) = -2*l**3 - 21*l**2 - 10*l + 12. Calculate the smallest common multiple of x(-10) and 32.
96
Suppose 2*l = -4*x - 24750, 3*x = 8*x + 2*l + 30937. Let v = x + 86561/14. Calculate the common denominator of v and (-1)/6*(-237)/5.
70
Let m(r) = -r**3 - 5*r**2 + 3. Let s be m(-5). Suppose 5*v - s*v - 18 = 0. Calculate the least common multiple of v and 24.
72
Let q = 9954 - 99421/10. Find the common denominator of -89/4 and q.
20
Let w be 3/(-2)*16/(-6). Let x be 1*(w - 22/1). Let l = x - -23. Calculate the lowest common multiple of 4 and l.
20
Let q = 17257 + -2640302/153. Calculate the common denominator of 4/11 and q.
1683
Let q(j) = 4295*j. Let d be q(1). Let g = 17263/4 - d. What is the common denominator of (1 - -1) + 77/(-10) and g?
20
Let t = -72 - -12. Let j = t - -27. Find the common denominator of 3 - ((-54)/j - 1) and 49/4.
44
Let s be (-7364)/11050 + (-14)/(-21). Let p = s + 723703/298350. What is the common denominator of p and (-20)/(-12)*(-66)/28?
378
Suppose p + 3 = -0. Let k = 7 + p. Let s = 982 - 981. What is the lowest common multiple of s and k?
4
Suppose 10 = -2*f, 12*f - 88 = -3*z + 8*f. Calculate the smallest common multiple of 180 and z.
180
Let d = -4/945 - -2339/1890. Let m = 24042 + -528829/22. What is the common denominator of d and m?
330
Suppose 0 = -0*b - b. Calculate the least common multiple of (b - -2)*(-4 - (-13 + -3)) and 44.
264
Calculate the common denominator of (870/50 - 17) + 1/(-240) and -103/36.
144
Let b = -20737 - -456319/22. Let f = -555 + 5531/10. Find the common denominator of b and f.
110
Let g(j) = -2592*j + 1291*j + 1299*j + 16. Suppose 0 = 4*r + 2 + 6, -4*n = -4*r - 32. Calculate the lowest common multiple of g(n) and 30.
60
Suppose -5*t + t = 4*u - 348, 3*u + 95 = t. Calculate the lowest common multiple of t and 4.
356
Let s = -1616141/96 + 16835. Let u = -1501/96 - s. What is the common denominator of u and -65/42?
42
Let v be (-1)/(4/6*8/48). Let c = 14 + -6. What is the smallest common multiple of (-3)/v + 68/12 and c?
24
Let d = -48989/10 + 4904. Let z = -55 - -31. What is the common denominator of d and z/192 + (-790)/(-176)?
110
What is the smallest common multiple of 4 and (-220)/(-26) - (-102)/(-221)?
8
Calculate the smallest common multiple of 6 and 5792/88 - 4/(-22).
66
Let k be (-4 - 5)/((-12)/8). Suppose -q + k + 2 = 0. Calculate the lowest common multiple of 2 and (-3)/9 - q/(-6).
2
Let y be (-699)/(-3620) + 2/(-10). Let h = y + 26441/2172. Let i = -1/2430 + 7493/1215. What is the common denominator of h and i?
6
Let m = -10 + 14. Suppose m*i - 6 = 5*i - 4*p, -4*i + 36 = -4*p. What is the smallest common multiple of i and 2?
14
Suppose -53*a + 164 = -12*a. Let u be (-2*6/(-3))/(-1). Let s = u - -5. Calculate the lowest common multiple of a and s.
4
Let c = 1/6184 + 117379/723528. Calculate the common denominator of 26/9 and c.
117
Let r = -74253 + 12177585/164. Calculate the common denominator of 69/2 and r.
164
Suppose -35 = -5*i + 55. What is the least common multiple of 36 and i?
36
Suppose f = 2*i - 6 - 4, 5*f - 10 = -2*i. Suppose 9 = -3*r, 2*h - 5*r + f = 191. What is the smallest common multiple of h and 22?
88
Let q be (-1330)/12 - 2/(-4). Let d = q - -106. Let y = d - 49/24. Calculate the common denominator of y and -23/18.
72
Let j(y) = -y**2 + 7*y + 90. What is the lowest common multiple of 8 and j(9)?
72
Let c = -45 + 57. Let l = -10 + c. Calculate the lowest common multiple of l and ((-6)/(-8))/(2/24).
18
Let q(r) = r**3 + 12*r**2 + r - 43. Let h be q(-13). Find the common denominator of -107/6 and (-10)/h*((-650)/(-8))/5.
18
Let b be 6/(-4)*16/8. Find the common denominator of (189/192)/((3/(-4))/b) and -45/28.
112
Let u be -2 + 422/24*-541. Let k = u - -9520. Find the common denominator of 101/6 and k.
12
Let k = -82 - -127. What is the smallest common multiple of k and 132?
1980
What is the common denominator of -47/32 and (956/(-320) + 3)*(-2130)/36?
96
Let f = -46 - -53. Suppose -5*u - 2*h = -40, 0*u + 3*u = -h + 24. Calculate the least common multiple of u and f.
56
Let x(p) = 6*p**2 - 31*p - 36. Let h(s) = 7*s**2 - 32*s - 37. Let v(z) = 5*h(z) - 6*x(z). Calculate the least common multiple of v(27) and 20.
20
Let y(c) = 2*c - 1. Let z be y(4). Suppose -4*t + 41 = -z. Calculate the lowest common multiple of t and 0 + 38/10 - 7/(-35).
12
Let o be ((-1)/(-2))/((-77)/(-490017)). Let t = -317
|
{
"pile_set_name": "DM Mathematics"
}
|
et n = 21 - 26. Which is the nearest to 1/3? (a) -1 (b) -3 (c) n
a
Let a(t) = -t + 1. Suppose 0 = h - 2*h + 4. Let k be a(h). Let b = -145/453 + -2/151. What is the nearest to 1 in b, -5, k?
b
Let w(t) = -t**2 - 8*t - 3. Let m be w(-7). Let z = 0.2 + -0.1. Let u(q) = 2*q**2 - 5*q + 5. Let h be u(2). Which is the closest to z? (a) m (b) h (c) 2
c
Let z = 11 - 11. What is the closest to 2 in 1/8, 3/7, z?
3/7
Let k = -0.276 - 0.024. Which is the closest to 0.6? (a) 0.5 (b) k (c) -5
a
Let p be (-1)/(-4)*(4 - 6). Which is the closest to 0.3? (a) p (b) 5 (c) 0
c
Let y(g) = 2*g + 8. Let n be y(-2). What is the nearest to -0.2 in 1/7, 5, n?
1/7
Let s be (-2)/(-3) - 77/129. Let z = s + -52/129. Which is the closest to -1? (a) -3 (b) 0 (c) z
c
Suppose 4*v - 16 = 4*j, -3*v + 12 = -5*j - 0*j. Let n = -13 - -16. Let m be n/4*20/30. What is the closest to m in j, 1/9, -0.5?
1/9
Let w = 0.7 + 2.3. Let y = -30/7 - -127/28. Let n = 1 + -5. What is the nearest to y in n, w, 1?
1
Let i(x) = x**2 + 5*x - 3. Let h be i(-6). Let o be 1*4/((-32)/(-3)). Which is the nearest to 0? (a) o (b) -5 (c) h
a
Let h = -2 + 1. Let r = -1/137 + 419/1096. What is the nearest to -1 in h, 1, r?
h
Let g = -374945/42 + 8928. Let p = -4/7 + g. What is the closest to p in -0.1, -0.5, -2/15?
-0.1
Suppose 4*n = -4 - 16. What is the nearest to 1 in -4, n, -1/7?
-1/7
Let w = 4/577 + -46172/1731. Let h = -27 - w. Let z = 2 - 1. Which is the nearest to z? (a) -0.2 (b) h (c) 0.3
c
Let b = 137 + -136.8. What is the nearest to -4 in 2/5, b, 5?
b
Let y = -3 - -6. Suppose -2*w - y*w = -5. Which is the closest to w? (a) -4 (b) -2/13 (c) 0.5
c
Let s be (-4 - -8) + (-26)/7. Which is the nearest to s? (a) -0.1 (b) 5 (c) 3/7
c
Let u = 2.128 - 0.028. Let w = u + -2. Let j be ((-3)/24)/((-3)/4). What is the nearest to 0.3 in j, w, 2/3?
j
Let f = 0.026 - 0.026. Which is the nearest to -4? (a) -3/2 (b) -0.5 (c) f
a
Let x = -3.8 + -1.2. Suppose 0*y - 2*y + 4 = 0. Which is the closest to -1/4? (a) x (b) -0.3 (c) y
b
Let l = 701/470 + 2/235. What is the closest to l in -3, 0.12, -0.5?
0.12
Let r = -2/55 + -157/220. Which is the nearest to -2/7? (a) r (b) 2 (c) 0
c
Let f be (((-2)/(-2))/(-5))/(-1). Let j = -4.1 + 4. Let k(i) = -3*i - 4. Let g be k(-3). What is the nearest to j in 0.3, f, g?
f
Let a = 17 + -12. Let f = -0.07 + 0.01. Let v = -1.94 + f. What is the nearest to v in a, 0.4, -0.3?
-0.3
Let r be -4*(-2)/4 + 2. Let f = 36 - 35.8. Let h = -0.04 + 2.04. Which is the closest to 0? (a) r (b) f (c) h
b
Let v = -0.0615 + 4.1715. Let l = v + -0.11. Let a(t) = -t**3 + 5*t**2 - t + 7. Let s be a(5). What is the closest to -2/5 in l, -1/3, s?
-1/3
Let i = 46.1 - 46. Suppose 0 = 2*j - 0*j - 4. Which is the nearest to 3? (a) j (b) -1/5 (c) i
a
Let p be (-3)/3 + (1 + -4 - 0). What is the nearest to 0.1 in -1, 0.5, p?
0.5
Let y = 4372/3819 + -72/67. Let p = 182/969 - y. Let c = 1.5 + -2. What is the closest to -2 in p, c, 5?
c
Let q = -4.9 + 5. Let w = 0 - 2. Which is the closest to q? (a) 3 (b) w (c) -3/4
c
Let r(z) = -z**2 + 10*z + 3. Let w be r(9). Suppose -l + w = -2*s - 5*l, 0 = -4*s - 3*l - 9. Let q be (5 - 3) + 0/(-1). What is the closest to q in -2/5, -1, s?
s
Let v be (-3)/(-4 - -7) + (-1)/2. Which is the nearest to -3? (a) -0.4 (b) 5 (c) v
c
Let k = -0.1 - -0.6. Let j = 0.8 + -4.8. Let x = 0.3 - 0.2. What is the closest to x in -0.2, j, k?
-0.2
Suppose 0 = 4*k - 4 + 8. Which is the closest to 2? (a) k (b) -0.2 (c) 3
c
Let x be (-2)/6 - (-3)/27. Let m = 1 - -3. Let n = -2.6 - -2.5. Which is the nearest to n? (a) 0.1 (b) x (c) m
b
Let k = 0.06 - 0.26. Let p = 1.5 + -1.6. Which is the nearest to p? (a) k (b) -1 (c) 1
a
Let k = -18 - -20. What is the closest to -2 in k, -3, 0?
-3
Suppose -2 = -5*b - i + 7, 2*i = 5*b + 3. Let d be 3*(-1 + 12/15). What is the nearest to b in 2/5, d, 0.1?
2/5
Let w = 4.2 + -3.5. Let d = 746/11 - 68. What is the closest to -0.1 in 0.3, w, d?
d
Let z = 0.47 + -21.47. Let p = z - -21. What is the nearest to p in 1/3, 0.5, 0.1?
0.1
Let n = 29/48 - -1/16. Suppose 8 - 4 = -p. What is the nearest to n in 0.2, 0.8, p?
0.8
Let r be 2/4*4/(-19). Let g = 29 - 26. Let f be ((-6)/(-15))/((-1)/5). Which is the closest to f? (a) 2 (b) r (c) g
b
Let p = 13 + -11. What is the closest to 1 in 2/5, 3/5, p?
3/5
Let y = 15.1 + -14.1. Which is the nearest to y? (a) -37 (b) 0.3 (c) 1/5
b
Let r(q) = -3*q + 4. Let m be r(7). Let b = 3 + m. Let u be 4/(-14) + 10/b. What is the closest to -3 in -0.5, -4, u?
-4
Let s = 31 - 67. Let d be (-1)/(-3)*s/(-48). Which is the nearest to -2? (a) d (b) -5 (c) 0.1
c
Let q = 0.1 - 0.2. Suppose 3*w - 5 = 5*t - 22, -5*t - 4*w = -24. Suppose j = 3*j + 2, 0 = -4*z + t*j + 4. Which is the closest to q? (a) 3 (b) z (c) -1
b
Let o(m) = -m + 3. Let u be o(5). Let k be (u - -3) + 22/(-18). Let n = 0.06 + 2.94. Which is the closest to 0? (a) n (b) k (c) -1
b
Let o = -3 + 2.9. Suppose -1 - 7 = 4*l - 4*y, 16 = 4*y. Suppose -l*s + 2 = 2*k, -4*s + 5*k = -0*s + 41. Which is the nearest to o? (a) 5 (b) s (c) 0.1
c
Let r = 2.6 + -4.6. Let h = -2.9 - 11.1. Let p = h + 9. Which is the closest to r? (a) 2 (b) -2 (c) p
b
Let v(l) = -2*l + 3. Let d be v(2). Let z be 2/(-2) + (-4)/(-3). Which is the closest to -1/2? (a) z (b) d (c) 2/3
b
Let z = 45/2 + -23. Let o be (-1)/(2 - (-5)/10). Which is the nearest to o? (a) -3/2 (b) z (c) 0.3
b
Let j = 2.4 - 2.4. Which is the closest to -0.1? (a) j (b) 0.08 (c) 3
a
Let p = -0.103 + -1.897. Let i = -9 - -4. What is the nearest to 1 in p, i, 0?
0
Let i = 4 + -5. Which is the closest to -2/3? (a) 0.3 (b) i (c) -5
b
Let q = -15.3 + -3.7. Let k = 18.7 + q. Which is the nearest to 0.03? (a) -4 (b) k (c) -1/3
b
Let m be (6/(-56))/(1/4). Let b = -0.4 + -0.1. What is the nearest to 1 in -4, b, m?
m
Let t = 1/10 - -2/5. Let m = -0.4 + 0.2. What is the nearest to t in -4, m, 1?
1
Let m = 1.9 - 1.1. Let k = -0.9 + m. Let o be 0/(-1) + 4/14. Which is the closest to o? (a) k (b) 3/2 (c) 1/4
c
Let l = 38 - 23. Suppose -x + 6*x = 5*c - l, 5*c + 2*x = -13. What is the nearest to c in -1, 1/8, 3/2?
-1
Let t = -1.2 + -3.6. Let q = t + 5. Let z = 1.9 + -2. What is the closest to z in 3, 1/3, q?
q
Let h = 0.448 - -4.642. Let f = h + -0.09. Suppose 4*m - 5*y = 7, 0 = -m + 6*y - 3*y. Which is the nearest to -0.1? (a) f (b) m (c) -0.3
c
Let s = -0.7 - 0.3. Let z = -5 - -1. Let u = z + s. Which is the closest to 0? (a) u (b) 3 (c) -1
c
Suppose -z = -0*z - 5. Let q = -4 + z. Which is the nearest to q? (a) 0.5 (b) -2/3 (c) 2/3
c
Let q = -0.1 - -0.5. Let u = -0.8 - -0.6. Which is the closest to -1? (a) 0 (b) u (c) q
b
Let p = -8 - -7. Which is the nearest to 0.1? (a) 4 (b) 3/2 (c) p
c
Let q be 48/(-8)*(-2)/(-8). What is the closest to q in -1, 0.5, 1?
-1
Let k = -0.01 - -1.01. What is the closest to k in -0.2, 0.3, -0.3?
0.3
Let d(g) = -g**2 + 10*g - 16. Let s be d(8). Suppose 0 = 6*v - 3*v - 3. What is the closest to s in v, -2/3, 1/4?
1/4
Let o = -48 - -32. Let h = o + 233. Let u = h + -2389/11. What is the nearest to -1 in -0.2, -2/9, u?
-2/9
Let o = 0.16 + 0.04. Which is the closest to 0.2? (a) -1/9 (b) o (c) 0.6
b
Let h = 1 - 3. Suppose 10 = 2*f + 4. Suppose f*q = q + 10. Which is the closest to h? (a) -0.1 (b) q (c) 2
a
Let t = 0 - -5. Let d = 343.9 + -344. Which is the closest to 0.1? (a) d (b) t (c) -0.3
a
Let k = -7 - -8. Let s = k + -1.3. What is the closest to -1 in 2, -0.1, s?
s
Suppose -3*x + 1 = -8. Let w be (((-1)/(-6))/((-2)/(-6)))/(-1). Which is the nearest to -1? (a) w (b) -1 (c) x
b
Let k = -8.7 - -5.7. Suppose 2*s - 4*l + 10 = 0, -2*s = 4*l - 13 - 1. Which is the closest to 0.1? (a) 2/11 (b) k (c) s
a
Let r = -59 + 16. What is the closest to -0.2 in -1, -5/6, r?
-5/6
Let g = 39 + -34. What is the nearest to 1/4 in 2/17, g, -1/3?
2/17
Let z = 3/23 + -32/69. Let q = 3.6 + -4. Let l = 10 - 5. What is the nearest to z in 1/5, l, q?
q
Let p = -15 + 59/4. Let g be -1 + (1 - 15/(-27)). Let u = 1/18 - g. Which is the closest to 0? (a) p (b) u (c) -4
a
Let k = -5.11 - -0.11. Let d = 9 + k. What is the closest to -0.2 in 5, -0.2, d?
-0.2
Let j = 0.6 + 0.4. Let h = 0 - -6. Let x = h + -3. Which is the closest to j? (a) -2/7 (b) 2 (
|
{
"pile_set_name": "DM Mathematics"
}
|
89*n**2 + 1)*(3*n - 2*n + 0*n).
-3*n**3 - 5*n**2 - n
Expand (7 - p - 7)*(41 - 38 + 22).
-25*p
Expand 2*f - f - 2*f + (3 - 2 - 3)*(2 - 2*f - 2) - 5*f + 3*f + f - 3*f + 18*f + 17*f.
34*f
Expand -6*i + i**4 + 58*i + i**3 + 13*i + (-2*i**2 - 1 + 1)*(i**2 + 0*i**2 + i**2) + 0*i**4 + 6*i**4 - 5*i**4.
-2*i**4 + i**3 + 65*i
Expand (1 - 1 + 2*h)*(15*h**4 - 9*h**4 - 17*h**4) - 2 + h**5 + 2 + h.
-21*h**5 + h
Expand (-33*q - 38*q - 9*q - 9*q)*(-q**3 - q**3 + 4*q**3).
-178*q**4
Expand (-52 - 151 - 56 + (4 + 1 - 4)*(2 - 4 + 1))*((-2 + 3 - 2)*(2*l + l - 4*l) + 2*l + 3*l - 3*l + 2*l - 2*l - l).
-520*l
Expand (n**2 + 0*n**2 + 0*n**2)*(-3*n**2 + 0*n**2 + 0*n**2 + (-2 + 2 - 8*n)*(-2*n + 2*n + n)).
-11*n**4
Expand (-g**2 - 2*g**2 + g**2)*(-5 + 2 + 2)*(-3 + 5 + 0) + 2*g**2 + 1 - 1 + (-7*g + g + g)*(0*g + 5*g - 3*g).
-4*g**2
Expand (-2*j + 6*j - 3*j)*(-j**2 - 2*j**2 + 5*j**2) + 5*j**3 - 5*j**3 + 2*j**3 + (j - 2*j - j)*(3*j**2 - 37 + 37) - 7*j**3 + 3*j**3 + 3*j**3.
-3*j**3
Expand (2*h**3 + 0 + 0)*(2*h + 0*h - 3*h) - 587*h**4 + 1147*h**4 - 577*h**4 + 7*h**2.
-19*h**4 + 7*h**2
Expand (0*c + 2*c**2 + 0*c)*(6 - 3 - 2) + (47 + 15*c**2 - 47)*(23 - 16 + 21).
422*c**2
Expand (-r + r - r**2)*(4*r - 12 - 14 + 7).
-4*r**3 + 19*r**2
Expand (q - 4*q + q)*(-20 + 56 - 26 - 6*q).
12*q**2 - 20*q
Expand 418*h - 1220*h + 40*h + (-h + 3*h - h)*(0 + 4 - 6).
-764*h
Expand (0*l**2 - l**2 + 0*l**2)*(-1395 + 208*l + 1395).
-208*l**3
Expand (-238 - 176 + 39)*(0*y**2 + y**2 + y**2) + (2 - y - 2)*(y + 0*y - 2*y).
-749*y**2
Expand 2736 - 8*p - 2736 + (2 - 2 + 1)*(-2 - p + 2) + 1 - 2*p - 1 + 0*p + p + p.
-9*p
Expand (7*z - 2*z + z)*(3*z**2 - 6*z**2 - 2*z**2) + z**3 + 0*z**3 - 2*z**3.
-31*z**3
Expand (-6 - 16 + 0)*(r + r + 0*r)*(-1 + 2 + 0)*(-4 + 8*r + 4).
-352*r**2
Expand 3*y**2 + 2*y**2 - 37*y**2 + (0 + 7 + 0)*(0*y + 0*y + 2*y**2).
-18*y**2
Expand (-3*n**3 + n**3 + 4*n**3)*(-n - 3*n + 2*n) + (0*n + n - 5*n)*(92*n - 26*n**3 - 92*n).
100*n**4
Expand (-3*g - 5251 + 5198 - 3*g)*(4 - 4 - g).
6*g**2 + 53*g
Expand (0*h**2 + h**3 - 5*h**3 + h**2)*(-12 - 21 + 63).
-120*h**3 + 30*h**2
Expand -109*y + 174*y - y**3 - y**3 + 4*y**2 + (0*y**2 + 5*y**2 - 3*y**2)*(3*y - 5*y + y).
-4*y**3 + 4*y**2 + 65*y
Expand (-3 + 2 - 1)*(-15 - 15 + 15)*(-r + 5*r + 0*r).
120*r
Expand (21*g**2 + 17*g**2 - 19*g**2)*(-2 + 2 - 2*g)*(4 - 3 - 2).
38*g**3
Expand (-5 + 5 + h**2)*(-6*h + 2*h + 2*h)*(2*h**2 + h**2 - 4*h**2) - 46*h - 15*h**5 + 46*h.
-13*h**5
Expand (2*t + t - 4*t)*(5 - 6*t - 5) + 3 - 3 + 2*t**2.
8*t**2
Expand (-2*o + 4*o + 17*o)*(8*o - 23 + 0*o - 9*o).
-19*o**2 - 437*o
Expand (-56*l + 175*l - 69*l)*(-3*l**3 + 0*l**3 + 0*l**3).
-150*l**4
Expand (-1793 + 3571 - 1790)*(-8*q**2 + q**2 - 2*q**2).
108*q**2
Expand (-p - 2 + 2)*(-30 - 5 - 4)*(3*p - 4 + 4).
117*p**2
Expand ((5*v**2 - 6*v**2 + 4*v**2)*(7*v - 6*v + 2*v) + v - v**3 - v)*(v**2 + 2*v**2 + v**2).
32*v**5
Expand (-4 + 2*t + 4)*(1 + 0 + 0)*(-2*t + 0 + 0 + (-2*t + 0*t + t)*(-745 + 1545 - 990)).
376*t**2
Expand (-2 + 3 + 1)*(7 - 3 - 2)*(57*x - 1084 + 1084).
228*x
Expand (-2*f**3 + 2*f**3 + 2*f**3)*(-2 + f**2 + 2) + (-4 + 4 + 2*f**4)*(-67 + 157*f + 67).
316*f**5
Expand (-w**2 + w - w)*(-3 + 36*w**3 - 20*w**3 - 12*w**3).
-4*w**5 + 3*w**2
Expand (-6 + 2 + 3)*(3*v + 7*v - 2*v) - 13*v - 4 + 4.
-21*v
Expand (3*t**2 + 3*t**2 - 4*t**2)*(t + 5*t**3 + 4*t**2 - 26*t**2 + 26*t**2).
10*t**5 + 8*t**4 + 2*t**3
Expand (-2*n - 3 + 3)*(-20*n + 5 - 8 + 11*n) + 11*n**2 + 27*n**2 - 8*n**2.
48*n**2 + 6*n
Expand -2*p**2 + 3*p - 3*p + (-4 - 1 + 3)*(-3*p + 2*p**2 + 3*p) + p**2 - 2*p**2 + 3*p**2 - 4*p**2 + p**2 - p**2.
-8*p**2
Expand (-47*w**2 + 42*w**2 + 83*w**2)*(3 - 2 + 1) - 2*w**2 - w + w.
154*w**2
Expand (0*n - 2*n - 2*n)*(-13*n - 5*n + 2*n)*(0*n**2 + n**2 + n**2).
128*n**4
Expand (-w - 4*w + 3*w)*(-w**2 + 2*w - 2*w) + (-4 - 3*w + 6*w + w)*(w**2 + 1 - 1).
6*w**3 - 4*w**2
Expand (-3 + 6 + 4 + (0 - 2 - 8)*(1 - 3 + 0))*(-d + 5*d + 0*d).
108*d
Expand 9*x - 9*x + 12*x**2 + (7*x - 16*x + 22*x)*(5 - 5 - 2*x).
-14*x**2
Expand (-1 - 4 + 2)*(4*f + 5*f - 4*f).
-15*f
Expand (o - 1 + 1)*(-4*o + o + o) + (o**2 - 1 + 1)*(4 - 2 - 4) - 142*o**2 + 21 - 62*o**2 - 21.
-208*o**2
Expand 0*u + u**4 + 0*u + (-5*u**2 - 6*u**2 + 9*u**2)*(-4*u**2 + 4*u**2 + u**2) + 0*u**4 + 5*u**4 - 3*u**4 + (u - 3*u + 7*u)*(1 - 1 - 2*u**3).
-9*u**4
Expand (-2*x**3 + 3 - 5 + 4)*(-274*x + 615*x - 258*x).
-166*x**4 + 166*x
Expand (3*u**2 - u**2 + u**2 + (-u**2 + u**2 + u**2)*(-2 + 2 - 2))*(76 - 10*u - 76) - 2 + 2 + 2*u**3.
-8*u**3
Expand (-t + t - t**2)*(-t**2 + 0*t**2 + 3*t**2) + 51*t**4 - 7*t**4 + 44*t**3 - 44*t**3.
42*t**4
Expand (4 + 2*v**2 - 4)*(25 + 60 + 14)*(0 + 3 - 2)*(1 + 2 - 1)*(4 - 2 - 4).
-792*v**2
Expand s**3 - 3 + 3 - s + s + s**3 + s**3 + s**3 - s**3 + (-1 + 1 - 2*s)*(-s**2 + 2*s**2 + s**2) + 1 - 1 - s**3 + 57*s**3 - 140*s**2 + 140*s**2.
55*s**3
Expand 6*d**5 - 21*d**5 - 10*d**5 + (3*d**2 - 4*d + 4*d)*(2*d**2 - 4*d**2 + d**2)*(-3*d + 4*d - 4*d) + 2*d**5 + 0*d**4 + 0*d**4.
-14*d**5
Expand 2*i**5 - 4 + 4 + (-5*i**2 + 0*i**2 + 3*i**2)*(i**3 - 3*i**3 + i**3) + 3*i**5 + 3*i**5 - 4*i**5 - 96167*i**4 + 96167*i**4 + 146*i**5.
152*i**5
Expand (-6428 - 165*u + 6428)*(-5 + 2 - u + 2).
165*u**2 + 165*u
Expand (15 + 4*r**2 - 15)*(6*r - 3*r - 4*r + (-r + 5*r - 3*r)*(1 + 0 + 1) + 4*r - 2*r - r - 10*r + 9*r + 2*r).
12*r**3
Expand (2 + 2 + 5)*(-2*i - 3*i + 7*i)*(-1 - 3*i + 1).
-54*i**2
Expand (-5*k**2 - 4*k**2 - 10 + 2*k**2)*(-1 - 3 + 2).
14*k**2 + 20
Expand (-17*s**2 + 3*s**2 + 2*s**2)*(-3 + 4 + 0)*(4*s - 4*s - s)*(4*s - 6*s + s).
-12*s**4
Expand (-3*g**2 + 4*g**2 + 4*g**2)*(g**2 - 5*g + 5*g) + 5 - 5 - 3*g**4 + (2*g**3 + 2*g**3 - 5*g**3)*(-g - 2*g + g).
4*g**4
Expand 2*x**4 - 3*x**4 - x**4 + (-5*x**3 + 3*x**3 + 3*x**3)*(-3*x + 0*x + 4*x) + 8*x**4 - 29*x**4 - 2*x**4.
-24*x**4
Expand -i**5 - i**5 + 3*i**5 + (-2*i**3 - 3*i + 3*i)*(224*i**2 - 123*i**2 - 249*i**2).
297*i**5
Expand (2 - 2*v - 2)*(-295*v + 178*v + 209*v).
-184*v**2
Expand (-1 - 1 - 1)*(-5*m + 11 - 11) + 2*m - 10*m - 2*m + (-2 + 4 + 0)*(1 - m - 1).
3*m
Expand -6 - 2*k**5 + 2 + 3 + 2*k**5 + 2*k**5 - 5*k**5 + (4*k**2 - 5*k**2 - 6*k**2)*(-9*k - 6*k**3 + 9*k).
39*k**5 - 1
Expand (-38 - 57 + 17)*(m + 4 - 4) + 13 - 13 - m + (-m + 2*m - 3*m)*(1 + 2 - 5).
-75*m
Expand (0*r + r + r)*(-2*r + 3 - 3 - r + r - r + (3 - 1 + 0)*(2*r + 4*r - 3*r) + r + 2*r - 2*r + 14 - 14 + 9*r).
26*r**2
Expand (0*n + 3*n - n)*(-5 + 9 + 5) - 2*n - 2*n + 6*n.
20*n
Expand (-50*b + 24*b - 36*b)*((3 - 3 + 2*b)*(3 + 4 - 5) - 2 + 2*b + 2 - 2 + b + 2 - 1 + 1 - b).
-372*b**2
Expand (-4*c**3 - 3*c**3 + 6*c**3)*(-2*c**2 + 0*c**2 + 3*c**2) - 3*c**5 + 5*c**3 - 5*c**3 - 2*c**5 + 2*c**5 - 7*c**5 + 4*c**5 - c**2 + c**2.
-7*c**5
Expand (-4*p + 4*p - 8*p**2)*(-p + p - 3*p)*((-p + 0*p + 0*p)*(p + 3*p - 5*p) + (5 + 0 + 1)*(-2*p**2 + 0*p + 0*p)).
-264*p**5
Expand ((0 + 0 + 4)*(3 - o**2 - 3) - 2 + 2 - o**2 + (3*o + 0*o - o)*(-o + 3*o - 5*o))*(-6 - 3*o + 7*o + 2).
-44*o**3 + 44*o**2
Expand -o**5 - o**5 - 2*o**5 + (2*o - 2*o + 2*o)*(-2*o**4 + 0*o**4 + o**4) - 4*o**5 - 8*o**2 + 8*o**2 + o**5 + o**5 + 2*o**5.
-6*o**5
Expand (b**2 - 2*b + 2*b + (-1 + 4 + 0)*(0*b**2 - 4*b**2 + 5*b**2))*(-1 + 1 + 1)*(-12*b**2 - 16*b**2 + 30*b**2 - 4*b).
8*b**4 - 16*b**3
Expand (2 + 0 - 3)*(-2*u**4 - 2*u**4 + 3*u**4) - 19*u**4 + 19*u**4 - 21*u**4.
-20*u**4
Expand (-3*z**4 - 2*z**2 + 2*z**2)*(371 - 211 - 251).
273*z**4
Expand (54*z + 67*z + 6*z + (3*z - 4*z - 2*z)*(4 + 0 - 3))*(-1 + 3 - 1).
124*z
Expand 28*v - 4 + 4 - v - v + v + 2*v + 3*v - v - 3*v + (2 - 2*v - 2)*(2 - 4 + 0) + 3*v - 7*v + 2*v.
30*v
Expand (-g + g + g**3)*(-36*g**2 + 30*g**2 + 9*g**2 + 56).
3*g**5 + 56*g**3
Expand (h + 2*h + 0*h)*(0 - 1 + 0 + (2 - 4 + 0)*(0 - 3 - 4)).
39*h
Expand (g + 3*g - 2*g + (2 - 3 - 5)*(6 - 6 + 2*g))*(-1 - 5 - 1).
70*g
Expand 3 - 7*s + 6*s - 2 + (s + 2*s - 5*s)*(2 - 2 + 2) - 3*s - s + s - 4*s - 5*s + 6*s.
-11*s + 1
Expand ((-2*a + 2*a - 2*a)*(-3 + 0 + 1) + (-3 + 2 + 0 + (-3 + 3 - 1)*(0 + 2 - 1))*(8*a + 0*a - 3*a))*(-2*a**3 - 2*a**3 + 6*a**3).
-12*a**4
Expand (11 - q - 11)*(6*q**4 - 6*q**4 + 7*q**4) - q**5 + 2*q**5 + q**5.
-5*q**5
Expand (-5 - 1 - 2)*(-2 + 2 + 2)*(-4*p + 4*p + p)*(-4 - 2 - 9).
240*p
Expand g + g - 3*g + 7*g - 2*g - 4*g + (3 + 3 - 4)*(2*g - 2*g + 2*g) + 0 + 0 + g + (3*g - g + 3 - 3*g)*(-2 - 2 - 7).
16*g - 33
Expand -p**2 - 2*p**2 + p**2 + (4 - 3 -
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{
"pile_set_name": "DM Mathematics"
}
|
+ 9 = 3*h - 29. Find the second derivative of s*b**2 - 3*b**2 + b + 8*b**3 - h*b wrt b.
48*b
Let p(g) be the second derivative of 0 + 1/6*g**3 + 0*g**2 - 1/4*g**4 - 9*g. What is the second derivative of p(s) wrt s?
-6
What is the derivative of 59*i + 136 - 35*i**2 - 59*i - 114*i**2 wrt i?
-298*i
Suppose 0 = -4*f - 5*b - 13, 2*f - 3*b = -0*b + 21. Let g be -6*5/(-135) - (-32)/18. What is the third derivative of -4*l**4 - 9*l**g - 23*l**f + 23*l**3 wrt l?
-96*l
Let i = 8 + -5. Suppose y - 8 = -5. What is the second derivative of -m**i - m + 5*m**y - 3*m + m wrt m?
24*m
Let a(t) be the first derivative of 0*t + 21 + 27/2*t**2 - t**3. What is the second derivative of a(y) wrt y?
-6
Let b(n) be the second derivative of 77*n**5/4 + 441*n**2/2 - 363*n + 1. Differentiate b(h) wrt h.
1155*h**2
Let s(n) be the first derivative of -34*n**3 - 3*n**2/2 - 2*n - 79. Find the second derivative of s(m) wrt m.
-204
Let n be (2/2)/(67/11 + -6). Find the second derivative of 3*g**3 - n*g**3 + 10*g - 15*g**3 - 31*g wrt g.
-138*g
What is the third derivative of 21492*s**2 + 96 - 21493*s**2 - 40*s**6 + 12*s**6 wrt s?
-3360*s**3
What is the third derivative of -h**6 + 187*h**2 - 224*h**4 + 937*h - 468*h - 471*h wrt h?
-120*h**3 - 5376*h
Suppose 11 = -h - 5*b - 2, -1 = 4*h + 3*b. Suppose -6 + 0 = -2*g. Find the third derivative of 0*r**6 + r**6 - r**h + r**6 + g*r**2 wrt r.
240*r**3
Let h(p) be the first derivative of p**5/5 - 196*p**3/3 + 7*p**2/2 - 2*p + 29. Find the second derivative of h(j) wrt j.
12*j**2 - 392
Let o(b) be the second derivative of -74*b**6/15 + 13*b**4/2 - b - 15. Find the third derivative of o(h) wrt h.
-3552*h
Let l = -9 - -11. What is the third derivative of 14 + 10*s**l - 35 + 21 - 7*s**5 wrt s?
-420*s**2
Let g(s) be the second derivative of 35*s**4/4 + 32*s**3/3 + s - 49. Find the second derivative of g(q) wrt q.
210
Find the second derivative of 434 - 136 - 151 - 24*x**4 - x - 138 + x**5 wrt x.
20*x**3 - 288*x**2
Let n(l) be the first derivative of -l**3/3 + 8*l**2 + l + 3. Let h be n(11). Find the second derivative of h*x**2 + 7*x + 8*x**3 - 56*x**2 wrt x.
48*x
Let n(l) = -196*l**2 - 12*l + 593. Let v(r) = -392*r**2 - 27*r + 1186. Let g(x) = -9*n(x) + 4*v(x). Find the first derivative of g(c) wrt c.
392*c
Let s = 91 + -89. Find the second derivative of 2*l**2 + 1628*l - 2 + s - 1593*l wrt l.
4
Let l be ((-21)/(-30))/1*36/63. Let a(o) be the first derivative of 0*o**2 + 2*o + 0*o**3 + 4 + 0*o**4 - l*o**5. Find the first derivative of a(t) wrt t.
-8*t**3
Let b be (45/(-4) - -3)*-4. Let m = b + -20. Find the second derivative of 8*k**3 - 11*k - m*k + 19*k wrt k.
48*k
Let y(v) be the first derivative of -61*v**3/3 - 49*v**2 - 34. What is the second derivative of y(f) wrt f?
-122
What is the first derivative of -15072*a - 15070*a + 68 + 16*a**2 + 30144*a wrt a?
32*a + 2
Let n(c) = c**3 - 4*c**2 - 11*c - 65. Let w be n(7). Let k = 9 - 6. Find the second derivative of -w*t + k*t + 11*t + 10*t**5 + 0*t wrt t.
200*t**3
Let p(v) be the second derivative of -11*v**4 + v**3/3 - 87*v**2/2 + v + 69. Find the first derivative of p(y) wrt y.
-264*y + 2
Let t(r) = -520*r**2 - 168*r. Let a(k) = -40*k**2 - 13*k. Let w(j) = 80*a(j) - 6*t(j). What is the second derivative of w(u) wrt u?
-160
Let j(r) be the third derivative of 13/6*r**3 + 0 + 0*r - 2*r**2 + 7/24*r**4. What is the derivative of j(y) wrt y?
7
Find the second derivative of 0*c - 1 - 5*c - 111*c**2 - 3 - 4 - 2*c wrt c.
-222
Let i be (-1)/(-9) - ((-391)/153)/(-23). Suppose -4*t + 5*r - 10 = -3*t, -2*t = -4*r + 8. Find the second derivative of -6*b**3 + i + 5*b + 15*b**3 + t wrt b.
54*b
Let c(h) be the first derivative of 0*h**3 - 8/3*h**6 + 5/2*h**2 + 0*h**5 - 7 + 0*h**4 - h. What is the second derivative of c(f) wrt f?
-320*f**3
Let r(k) be the third derivative of -k**9/504 - 3*k**6/40 - k**5/20 - k**3/3 - 63*k**2. Find the third derivative of r(p) wrt p.
-120*p**3 - 54
Let q(o) be the first derivative of o**8/168 - o**5/40 + 8*o**3/3 - 3. Let n(b) be the third derivative of q(b). What is the second derivative of n(x) wrt x?
120*x**2
Let c(m) be the first derivative of -19/3*m**3 + 0*m**4 + 0*m - 29 + 0*m**5 - 2/3*m**6 + 0*m**2. What is the third derivative of c(v) wrt v?
-240*v**2
Find the second derivative of -25*s + 61*s + 52*s**4 - 7 + 8 wrt s.
624*s**2
What is the second derivative of 7*u**5 + u**3 + 13*u**5 - 7*u**5 + 24*u + 35*u wrt u?
260*u**3 + 6*u
Suppose 3*s = -4*g - 1, g - 11 = -2*s + 5*s. Suppose -g*u + u = -2. What is the third derivative of -4*l**5 + 3*l**5 - 15*l**2 + 13*l**u wrt l?
-60*l**2
What is the derivative of -9*r**3 - 28*r**3 + 105 - 6*r**3 + 122 wrt r?
-129*r**2
Let y(g) be the third derivative of g**6/30 + g**5/20 + 13*g**4/4 - 12*g**2 - 2. Find the second derivative of y(c) wrt c.
24*c + 6
Let v(d) = -d**3 - 1. Let h be ((-3)/2)/(3/4) - -1. Let g(z) = 3*z**4 + 4*z**3 + 5*z + 4. Let l(x) = h*g(x) - 4*v(x). Find the second derivative of l(i) wrt i.
-36*i**2
Let d(x) be the third derivative of x**5/30 + 17*x**4/6 - 31*x**3/3 - 62*x**2. Find the first derivative of d(r) wrt r.
4*r + 68
Let v(y) = -8*y**3 + 4*y**2 + 3. Let g be v(-3). What is the derivative of -264 - 2*w**4 + g - 22*w**4 wrt w?
-96*w**3
Find the first derivative of 385 + 383*w + 75*w - 68 + 199 - 40 wrt w.
458
Let o(f) = 35*f**2 - 11*f. Let v(t) be the third derivative of -t**5/60 + 5*t**2. Let m(z) = o(z) + 2*v(z). Find the second derivative of m(c) wrt c.
66
Let q(v) be the first derivative of 0*v**3 + 3/4*v**4 + 0*v - 10 - 3*v**2. What is the second derivative of q(d) wrt d?
18*d
Let l(t) = -2*t**3 - 8*t - 786. Let h(k) = -k**3 - 4*k - 394. Let q(c) = 5*h(c) - 3*l(c). What is the first derivative of q(u) wrt u?
3*u**2 + 4
Let g(d) be the third derivative of d**6/120 + d**5/60 + 5*d**3/6 + 4*d**2. Let k be g(0). What is the second derivative of -4*x + x**5 + 0*x**k + x wrt x?
20*x**3
Let s = -389/3 + 130. Let f(q) be the second derivative of 0 + q**2 + 0*q**3 + 4*q - s*q**4. Differentiate f(n) wrt n.
-8*n
Let h be -2 - (-1 - (-8 + 3)). Let g = 10 + h. What is the third derivative of 3*w**2 + 0*w**2 - 8*w**4 - 5*w**2 + w**g wrt w?
-168*w
Let y(a) be the first derivative of -a**6/40 - 7*a**4/12 + 12*a**2 - 18. Let m(x) be the second derivative of y(x). Find the second derivative of m(s) wrt s.
-18*s
Let v = 13 + -11. Suppose 3*s - 15 = -v*s. Find the second derivative of 3*x - 7*x + 11*x**2 - s*x wrt x.
22
Let s(g) = -4*g**4 + 4*g - 12. Let j(o) = -2*o + o**4 + 2*o**4 - 6*o + 3*o + 13. Let p(x) = 4*j(x) + 5*s(x). Differentiate p(b) wrt b.
-32*b**3
Let f be ((-35)/21)/((-2)/6). What is the third derivative of -f*o**3 - 4*o**3 + 9*o**3 - 4*o**2 + 9*o**3 wrt o?
54
Find the second derivative of 163*h + 53*h**4 - h**3 - 2*h**5 + 233*h + 99*h**4 + h**3 wrt h.
-40*h**3 + 1824*h**2
Let v(j) = -42*j**3 + 4*j**2 - 4*j - 15. Let q(s) = 2*s**3 - s**2 + s. Let y(n) = -4*q(n) - v(n). Differentiate y(w) with respect to w.
102*w**2
Let x(f) be the first derivative of 4 + 0*f**2 - 35*f - 13/3*f**3. Differentiate x(s) wrt s.
-26*s
Let a(j) = 86*j**5 - 16*j**2 - j + 3. Let w(f) = -87*f**5 + 16*f**2 + f - 4. Let c(k) = -4*a(k) - 3*w(k). What is the third derivative of c(b) wrt b?
-4980*b**2
Let b(f) be the first derivative of -5*f**8/112 - f**5/60 + 8*f**2 - 21. Let z(t) be the second derivative of b(t). What is the third derivative of z(d) wrt d?
-900*d**2
Let w(t) = 0*t**2 - 11*t**2 - 7*t + 8 - 2*t + 4 - t**3. Let o be w(-10). What is the third derivative of 2*r**4 - 5*r**o - 17*r**6 - 2*r**4 + 8*r**6 wrt r?
-1080*r**3
Suppose 18 = 17*j - 14*j. Find the first derivative of 8 + j + 5*w - 34 wrt w.
5
Let x be 6*(-3)/(-6) - 3. Find the third derivative of -h**3 + x*h**2 + 2*h**2 - 7*h**2 wrt h.
-6
Find the third derivative of -2*g - 84*g**6 - 79 + 154 - 75 - 8*g**2 wrt g.
-10080*g**3
Let k = 176/5 + -167/5. Let v(n) be the first derivative of 0*n**4 + 0*n**3 + k*n**5 - 9*n + 0*n**2 - 9. What is the first derivative of v(i) wrt i?
36*i**3
Suppose -3*p = 3*p - 12. Let g = p - -3. What is the third derivative of 5*k**2 + 0*k**4 - 2*k**2 - 7*k**g + 0*k**4 wrt k?
-420*k**2
Let d(f) be the third derivative of -9*f**5/10 + 45*f**4/4 - 56*f**2 - 2. What is the second derivative of d(v) wrt v?
-108
Let g = -46 - -80. Let s = -29 + g.
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{
"pile_set_name": "DM Mathematics"
}
|
. Let d(q) = -7*c(q) - 6*f(q). What is d(i)?
-1
Let k(a) = -a + 4. Suppose -5*b + 19*b - 2688 = 0. Let v = b + -189. Determine k(v).
1
Suppose 126*r - 134*r = -24. Let n(k) = -k**2 - 6*k. Let p(q) = 2*q**2 + 13*q + 1. Let i(j) = -5*n(j) - 2*p(j). Calculate i(r).
19
Let t = -6 + 8. Suppose -g - 4*x = -t*x - 11, 3*x = 4*g + 11. Let y(u) = 7*u - u**2 + g - 9*u - 12*u**2. Calculate y(1).
-14
Let q(a) = -1 + a - 1 + 1. Let w(k) = -k**3 + 2*k**2 + 21*k. Let z be w(-4). Suppose 3*f + 2*p + 14 = 0, 3*p + p = -2*f - z. Calculate q(f).
-5
Suppose 0 = 17*u - 14*u + 3*i, 0 = -4*u + 2*i + 12. Let g(s) = -2*s**3 + 5*s**2 - 4*s + 2. What is g(u)?
-2
Suppose 1152*d + m = 1148*d + 20, 11 = 5*d + 3*m. Let g(p) = 2*p**2 - 12*p - 14. Determine g(d).
0
Let n = -186 - -188. Suppose 0 = 2*u + 4, n*a + 2*u = 3*a - 5. Let b(p) = -5*p - 2. Give b(a).
-7
Suppose 3*s - 426 + 159 = -3*q, 3*s + 485 = 5*q. Let x = -101 + q. Let p(w) = 2*w + 10. What is p(x)?
-4
Let i(h) be the second derivative of h**3/6 - 11*h**2/2 - 4*h. Let z be (-609)/(-28)*(-8)/(-6). Suppose 9*u - 25 = z. Determine i(u).
-5
Let u(l) be the third derivative of -l**6/120 + l**5/20 + 5*l**4/24 - l**3/6 + 2*l**2 + 2*l - 1336. Give u(5).
-26
Let v(j) be the first derivative of 3*j**2/2 + 20*j - 1750. Calculate v(-8).
-4
Let r(a) be the third derivative of -5*a**4/12 + 52*a**3/3 + 441*a**2 + 2*a. Calculate r(11).
-6
Let l(q) be the first derivative of 33*q**4/4 - q**3/3 + 3. Let z = -42437 + 42438. Give l(z).
32
Let i = -350 + 355. Let c(z) = -7*z + 35. What is c(i)?
0
Suppose -10*t + 64 = -6. Suppose -60 = t*r - 46. Let b(x) be the first derivative of -6*x**2 - 2*x - 4. Give b(r).
22
Let v(c) = 9*c - 2. Suppose -16*k - 17 = -81. Suppose -40*a + 37*a = -k*i - 3, -3*i + 3 = -4*a. Determine v(i).
-29
Let a(l) = -82 - 89 + 0*l - l**2 + 4*l + 168 - 13*l. Let r = -2 - 6. Give a(r).
5
Suppose -14*k + 36 = -10*k + 2*p, k - 3*p - 9 = 0. Let t(c) = -228*c - c**2 - k + 233*c + 15. Give t(5).
6
Let m(j) = -9*j**2 + 3*j - 27. Let f(t) = 10*t**2 - 5*t + 32. Let v(z) = 4*f(z) + 5*m(z). Calculate v(-4).
-67
Let z(n) be the second derivative of -n**4/6 - 13*n**3/3 - 23*n**2/2 + 3304*n. What is z(-11)?
21
Let d be 2/(-2)*(23 - 24). Let b(t) = 9 - 3*t - 8 - 2*t**2 - t + d + t**2. Give b(-6).
-10
Let o = 9 - 5. Let d(v) = 7 + 23 - 4*v + 2*v**2 - v**2 - 60 + 23 + 4. Determine d(o).
-3
Let a(g) = -2*g**2 + g + 2. Let l(u) = -3*u**2 + 4. Let i be 2/(-4)*(7 + 3). Let p(w) = i*l(w) + 7*a(w). Let s be (1 + (-1)/2)*-14. Give p(s).
-6
Let y(z) = -5*z + 72. Let j be y(14). Let l(f) = f**3 - f. Let t(o) = -o**3 - 6*o**2 + 3*o + 8. Let b(h) = j*l(h) + t(h). Let i = 13 + -7. Calculate b(i).
14
Let c be 14/(-21)*(2 - 14). Let g(n) = 3*n + n**2 - n - n**3 + c + 0*n - n. Let p be 0/(-2 - (3 - 7)). What is g(p)?
8
Let m be -9 - -6 - (-10)/(2 + 0). Let l(b) = -2*b + 20 + 5*b + b - 2*b - 18. Calculate l(m).
6
Let y(q) be the second derivative of -17*q**3/6 + 93*q**2/2 + 52*q + 7. Calculate y(5).
8
Let y(d) = 2*d + 7. Let i(j) = -3*j - 8. Suppose -3*q - 1 - 1 = x, -5*x - 2*q - 23 = 0. Let n(h) = x*y(h) - 4*i(h). Calculate n(6).
9
Let n(s) = 3*s**2 - 5*s - 46. Let i be n(5). Suppose -3*v = -6, 3*v = -0*u - 5*u + 21. Let a(w) = -1 + 2 - 23*w**2 + 19*w**2 - w**3 - i*w + u*w. Give a(-3).
-5
Suppose -110 = -2*u - 3*r, -5*r + 283 = 5*u + 18. Let a be (-10)/(-35) - 63/u. Let l(x) = -2*x**2 + x + 1. What is l(a)?
-2
Let z(u) = -11 + 2 + 8*u - 7*u + u + 5*u**2. Let q(i) = -i**2 - i + 2. Let v(h) = 4*q(h) + z(h). Give v(3).
2
Let s(u) = u - 2*u**3 + 9*u**2 + 3*u + 1768608 - 1768603. Calculate s(5).
0
Let t = 17/137 + 69/548. Let q(p) be the first derivative of -7 - 1/2*p**2 + 5/3*p**3 - 3*p + t*p**4. What is q(-5)?
2
Suppose 44*v - 52*v = -128. Let f be 2/(v/(-13 - -5)). Let n(x) = 2*x - 2. Give n(f).
-4
Let z(c) = 2*c**2 - 14*c + 31. Suppose -4081 = -29*r - 565*r + 11*r. Calculate z(r).
31
Let n be 8 + -3 + (0 - 0/(-7)). Let m(k) = k**2 - 12*k + 5. Determine m(n).
-30
Let a(t) be the third derivative of -t**6/120 - 3*t**5/5 + 59*t**4/12 + 5*t**3 + t**2 + 200*t. Determine a(-39).
-9
Let j = 110 - 25. Let q(y) = -y**2 + j - 15*y**2 - 85. Calculate q(1).
-16
Suppose -6*a - 15 = -27. Suppose a*v = -692 + 702. Let p(d) = -2*d**2 + 7*d - 5. Give p(v).
-20
Suppose -2*k - 236 = -4*k. Let n = 67 - k. Let b be (3*-2)/(n/68). Let i(y) = -y**2 + 7*y + 3. Calculate i(b).
-5
Let n(i) be the first derivative of i**2/2 + i + 7001. Let l(y) = y - 4. Let v be l(2). What is n(v)?
-1
Let t(w) = -w - 10. Let u(h) = h**2 - h - 27. Let n be u(9). Let y be (1/3)/(-2 - (-85)/n). Let x be y + (-5)/10 + 3/(-2). What is t(x)?
-5
Let j(n) = -68*n - 7. Let q(c) = -54*c - 9. Let g(s) = -4*j(s) + 5*q(s). Determine g(6).
-5
Let f(u) = u + 11. Let j be f(-7). Let a(s) be the first derivative of -1/2*s**2 - j + 7*s. Calculate a(6).
1
Let n(f) = -2*f**3 + f**2 + 3*f + 2. Let s be n(0). Let r(t) = s*t - 22 + 14 + 1 - t. Determine r(-8).
-15
Let d(r) = -10*r**2 + 13*r + 36. Let m(h) = -3*h**2 + 4*h + 11. Let v(g) = 2*d(g) - 7*m(g). Give v(4).
3
Let m(w) = 20 + w - 11 - 16 - 5. Suppose 3*p - b - 28 = 0, 5*p + 87*b = 88*b + 44. Calculate m(p).
-4
Let z be (-5)/30 + (2/12 - -3). Suppose 3*a - 11 = -2*n, -z*n - 2*a - 2*a = -16. Let g(d) = -d**2 + 2*d - 3. Determine g(n).
-11
Let y(z) = -5*z**3 - 4*z**2 + 8*z - 5. Let g be y(1). Let j be (-15)/g + -2 + (-24)/(-16). Let c(b) = 2*b**2 - 2*b. Calculate c(j).
4
Let v(c) = 0 - 24*c**3 - 6234*c**2 + 3116*c**2 + 3120*c**2 + 1 - 3*c. Calculate v(1).
-24
Let f(k) = k**2 - k. Let a(y) = 2*y**2 - 8*y + 3. Let u = -124 + 127. Let n be a(u). Determine f(n).
12
Let s(k) = k + 8. Let d = 4226 + -4237. Determine s(d).
-3
Let f(y) be the third derivative of 2/3*y**3 - 1/120*y**6 + 0*y + 0 + 1/15*y**5 - 13*y**2 + 5/24*y**4. Let b = 4 + 1. Calculate f(b).
4
Let x(n) = -n**2 + 17*n + 24. Let m be 1/2 + 10 + (-2515)/(-10). Let c = m + -244. Give x(c).
6
Let h(t) = t**3 + 3. Let r(d) = 2 - 4*d + 138*d**2 - 139*d**2 + 58. Let q be r(-10). Determine h(q).
3
Let v(k) = 9*k**3 + 58*k**2 + 14*k + 6. Let m(z) = -10*z**3 - 64*z**2 - 13*z - 6. Let o(x) = 10*m(x) + 11*v(x). Give o(-6).
6
Let o(d) = 2*d + 3. Let t be (1 + 14/(-4))*152/(-20). Let p be 1 + t - (-19 + 18). Let a = p + -26. What is o(a)?
-7
Let c(y) = y + 19. Let x be c(-13). Let p(t) = -4*t**3 - 30*t**2 - 2*t - 3. Let d(k) = 5*k**3 + 42*k**2 + 3*k + 3. Let v(u) = 3*d(u) + 4*p(u). Calculate v(x).
3
Let h = 10470 - 10476. Let d(c) = -c. Let w(t) = 3*t - 3. Let m(f) = 4*d(f) + w(f). Give m(h).
3
Let v(i) = 30319 + 30374 - 60657 - 24*i**2 + 2*i**3 + 36*i. Give v(10).
-4
Let a be 3 - (2/10 - 344/20). Suppose -4*w - 8 = -3*q, w - 16 = -4*q + 20. Suppose 18*y = q*y + a. Let c(j) = -j**2 + j + 1. What is c(y)?
-1
Let c(g) = -14*g + 45. Let n(d) = 15*d - 52. Let h(q) = 7*c(q) + 6*n(q). What is h(2)?
-13
Suppose 527 = -9*l + 554. Let u(a) = -4 - 8*a**2 + 9*a**2 - 34*a + 34*a. Give u(l).
5
Let z(j) = -7*j**2 + 1 + 8*j + j**2 + j**3 + 6 - 2*j**3. Let u(k) = k**3 - 2*k**2 + 4. Let s be u(0). Suppose s*g - 10 + 38 = 0. What is z(g)?
0
Let h be (20 - -8)*1/2. Suppose -h*f + 10*f + 44 = 0. Suppose -2*m = f + 7. Let d(j) = j**3 + 9*j**2 - j - 13. Give d(m).
-4
Suppose 6*b = 7*b - 70. Let o(v) = 7*v + b - 36 - 35. Let w = -4 - -5. Determine o(w).
6
Let n(i) = i - 5. Let u(t) = 3*t**2 + 2*t - 2. Let z be u(2). Suppose -277*l = -513*l + 1180. Let y = l - z. Calculate n(y).
-14
Let i(w) be the first derivative of -2*w**2 + 81*w + 3217. What is i(24)?
-15
Let t(s) = s + 2. Let y(b) = -b**3 + b**2 - b - 9. Let u = 8 - 8. Let v be y(u). Calculate t(v).
-7
Let a(u) be the first derivative of 5*u**4/2 - u**3/3 + u**2 - 2*u + 4912. Give a(2).
78
Let x(b) = b**3 - 13*b**2 - 30*b. Suppose 4*s - 70 = 5*a, -3*s - 2*a + 155 - 114 = 0. Give x(s).
0
Let t(c) be the second derivative of c**5/20 - c**4/3 + 3*c**2/2 - 142*c. Suppose -x + 4 = 0, 2*h = -20*x + 24*x - 10. Determine t(h).
-6
Let n(t) = t**3 + 9*t**2 + 3*t + 44. Let h be n(-9). Suppose -16*k - 65 + h = 0. Let p(a) = -a**3 - 4*a**2 + a. Give p(k).
-12
Suppose 341 = 3*a - 5*i, -5*a - i + 447 = -a. Let h be 55/((-21)/6 + 2 + 1). Let j = h + a. Let g(n) = -5*n + 2. Give g(j).
-8
Let i(d) be the second derivative of -d**4/12 + d**3/2 + d**2/2 + d. Let x = 804 - 802. Let q(v) = 31*v - 59.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 32. Let k = -99066.9894 - -99035. Let z = k - w. What is z rounded to three dps?
0.011
Let r(p) = 4*p**2 - 8*p**2 - 1630 + 5*p**2 + 57630 + 2*p. Let k(z) = z - 9. Let w be k(9). Let v be r(w). What is v rounded to the nearest ten thousand?
60000
Let o = -5052 + 4946.55. Let b = o - 392.44. Let f = b + 494. What is f rounded to one dp?
-3.9
Let w = 136 + -16. Let k = w + -119.82. Let n = -0.2079 + k. What is n rounded to 3 dps?
-0.028
Let d = 570 - 569.82. Let h = d - 8.76. Round h to 1 decimal place.
-8.6
Let l = -2.39 - -151.39. Let w = -29925073.1600171 + 29925222.16. Let z = w - l. What is z rounded to six decimal places?
-0.000017
Let w = -801561079.0000595 - -801560798. Let l = -232 - 49. Let v = w - l. What is v rounded to 5 decimal places?
-0.00006
Let b = -4.27 - -14.98. Let o = b - 11.4739. What is o rounded to 2 decimal places?
-0.76
Suppose 723 - 85 = -22*h. Let n be (-232)/h*(-1 + -3612499). What is n rounded to the nearest one million?
-29000000
Let s(c) = -2*c**2 + c + 26536178. Let x be s(0). Suppose -5*o - 47563837 = -3*w + x, 0 = -5*w + 25. Round o to the nearest one million.
-15000000
Let z be -1 + (-3)/(-9) - 28/(-6). Suppose 3*o - 8100 = z*q, -637 - 4763 = -2*o + 3*q. Round o to the nearest one hundred.
2700
Let x = -2159 - -2159.007578. Round x to 4 dps.
0.0076
Let v = 28677 + -28677.000017196. What is v rounded to five decimal places?
-0.00002
Let b = -2377 + 1046. Let f = b - -1214.3. What is f rounded to the nearest ten?
-120
Suppose -13*i + 16*i + b + 42155 = 0, 5*i - b + 70245 = 0. Let l = i - 15650. What is l rounded to the nearest one thousand?
-30000
Let k = -817.3 + 813.953. Let f = -3.31923 - k. Round f to three dps.
0.028
Let k(m) = m + 24. Let z be k(-18). Let p(u) = -43*u**3 - 8*u**2 + u + 10. Let y be p(z). What is y rounded to the nearest one thousand?
-10000
Let m = 11.69869 + -11.821. Round m to 3 decimal places.
-0.122
Suppose 16*x + 16179211 + 9031428 = -2067761. Round x to the nearest one hundred thousand.
-1700000
Let z = 91 + -89. Suppose 5*s + 793 = 4*p - 3035, -z*s = 4*p - 3800. Round p to the nearest ten.
950
Suppose 0 = -4*p + 24 - 4, -k - 5*p + 7329 = 0. Let g = k - -5089. Suppose g = -2*w + 2193. What is w rounded to the nearest one thousand?
-5000
Let z be ((-2)/(-6))/(-10*10/(-2700)). Let n(h) = h**3 - 7*h**2 - 17*h + 31. Let t be n(z). What is t rounded to the nearest 100?
0
Let n = 162 + -227. Let m = n - -60.7. Let s = -4.29932 - m. Round s to four dps.
0.0007
Let i = 1.63 - 0.03. Let p = -0.6 + i. Let c = -0.899 + p. Round c to two dps.
0.1
Let i = 3039.2 - 7982.8. What is i rounded to the nearest one thousand?
-5000
Let d = -177 - -180.68. Let f = 0.58 - d. Let t = f - -3.1000544. What is t rounded to 6 decimal places?
0.000054
Let o = -2048 - -2049.4907. Round o to one decimal place.
1.5
Let a = 8009 - 7603.3. What is a rounded to the nearest 10?
410
Let u = 208120 - 207942.497. Let q = u + -0.303. What is q rounded to zero decimal places?
177
Let r be 706*(-2 - (-15)/6). Let z = -604 + r. Let u = z + 168. What is u rounded to the nearest 10?
-80
Let n = -0.0906986 + 0.0898. Round n to four dps.
-0.0009
Let g = 2 - -2.7. Let m = -6.6 + g. Let d = m - -1.900045. Round d to five dps.
0.00005
Let j = 889573 + -889572.98400012. Let k = -409.016 - -409. Let p = j + k. Round p to seven dps.
-0.0000001
Let z = 547541240 - 547542120.001222. Let i = -880 - z. Round i to four dps.
0.0012
Let v = -571 - -972. Let m = 400.9518 - v. What is m rounded to three decimal places?
-0.048
Let y = 53398 + -53398.054349. What is y rounded to 2 dps?
-0.05
Suppose -476412 = -u + 3*v, -65*v - 16 = -61*v. Round u to the nearest 100000.
500000
Let j = 94531.1471163294 - 1.7661263294. Let u = j + -94529. Let n = u + -0.379. What is n rounded to four dps?
0.002
Let k = 1787 + -2505. Let b = -717.999999913 - k. What is b rounded to 7 decimal places?
0.0000001
Let x = -0.90982 + 0.77. Round x to 3 dps.
-0.14
Let x(o) = 10*o**2 - 6. Let a be x(3). Let j = 346 + a. Round j to the nearest one hundred.
400
Let x = 187 + -163. Let q be 15*-1*848*(-20)/x. Round q to the nearest one thousand.
11000
Let n = 16.84618 + -16.807. What is n rounded to two dps?
0.04
Let a = -28001696 + 12949596. Round a to the nearest one hundred thousand.
-15100000
Let j = 7.7 - 8.23. Let o = -22832874.46999942 + 22832875. Let t = o + j. What is t rounded to 7 dps?
0.0000006
Let b be ((-10)/6)/(-10*3/36). Suppose -2*k - 6 = b, 3*p - 5*k = 17. Let i be 11100*((1 - p) + -5 + 2). Round i to the nearest one thousand.
-11000
Suppose -v = v - 4. Let w(j) = 18 - 21 - 331*j**2 + 4*j - 670*j**v. Let g be w(3). Round g to the nearest one thousand.
-9000
Let m = 55 - 54.7025. Let f = m - 0.29. Round f to three decimal places.
0.008
Let w be (-99834497)/(-21) - (-2 + (-20)/(-12)). Suppose -7*u + w = -6725976. Round u to the nearest 100000.
1600000
Let w(p) = -2 - 6*p + 64669*p**2 + 15 + 5 - 4. Let u be w(4). Suppose 5*h + 17500000 = j, u = -5*h + 3*j - 16465306. Round h to the nearest 1000000.
-4000000
Let h be (-5)/(3/((-12)/10)). Suppose 0*v - 2*v = 4*r - 52, -v - 18 = -h*r. Suppose r*m - 14*m = -219. Round m to the nearest 10.
70
Let j be (-2)/5 - (-550933380)/(-50). Suppose -14474674 = -4*o - y, 0 = -2*o - 2*o - 5*y + 14474682. Let t = j + o. What is t rounded to the nearest 1000000?
-7000000
Let a(p) = 771110*p**2 - p + 13. Let c be 1571/13 + (-6)/(-39). Let g = c - 118. Let q be a(g). What is q rounded to the nearest one million?
7000000
Let i = -1095 + 1124. Let q = 25.97 - -3.33. Let k = i - q. Round k to the nearest integer.
0
Let z = 0.09028 - 419.39028. Let q = 402.756 + z. Let s = q - -16.1. What is s rounded to two decimal places?
-0.44
Let x = -19.4828081924 - 237.5171916096. Let y = 257 + x. Round y to seven dps.
0.0000002
Let p = 17.427 + -17.35673. What is p rounded to three dps?
0.07
Let q(u) = 1643*u - 10. Let a be q(-3). Let j = -2199 - a. What is j rounded to the nearest 1000?
3000
Let a = 0.52 + 0.25. Let r = -0.75 + a. Let i = 0.0132 - r. Round i to three decimal places.
-0.007
Let c = 593196471 + -908782870. Let n = -315586656.999506 - c. Let f = -258 - n. What is f rounded to four decimal places?
-0.0005
Let k = 3402 + -3498.88. What is k rounded to the nearest integer?
-97
Let s = -0.1237 + 0.137547. Round s to 3 decimal places.
0.014
Let r(v) = -5000*v**2 - 3*v - 9. Suppose -13 = -h - 16. Let b be r(h). Round b to the nearest ten thousand.
-50000
Let c(h) = -325*h**2 + 7*h + 344. Let f be c(83). What is f rounded to the nearest 1000000?
-2000000
Let s be 126/(-3)*18/(-21). Let i be 73176/s + (-8)/12. What is i rounded to the nearest 100?
2000
Let i = 505 - 490.95. Let z = i - 19.74. What is z rounded to one decimal place?
-5.7
Let u = -10472.990712 + 10473. What is u rounded to three dps?
0.009
Let r be 20 + 6805542 - (-2 - 1). Suppose 0 = g + 4*t + 505581 - r, -5*g - 3*t + 31499988 = 0. Round g to the nearest one million.
6000000
Let p = -2264123355.9999255 + 2264123936. Let w = 580 - p. Round w to 5 dps.
-0.00007
Let c = 4643.9999985048 - 4644. Round c to seven decimal places.
-0.0000015
Let c = 3533300 - 2047038. Let u(y) = 2118*y**3 - 5*y**2 + 4*y + 5. Let o be u(7). Let z = o - c. Round z to the nearest one hundred thousand.
-800000
Let p = 3595.9996022 + -3596. What is p rounded to four decimal places?
-0.0004
Let j(n) = -767*n**2 - 6*n + 15. Let b be j(-6). Let y = b + 59311. Round y to the nearest 1000.
32000
Let x = -0.05689 + 3074.05689. Let r = 3073.99993665 - x. What is r rounded to five decimal places?
-0.00006
Let n = -0.4116001 - -102.4102501. Let t = 102 - n. Round t to three decimal places.
0.001
Let n = -67.022597 - -67. What is n rounded to three dps?
-0.023
Let s(z) = 881891*z + 3. Let t be s(3). Suppose -4*j + 0*j + t = 0. Let f = -381419 + j. Round f to the nearest one hundred thousand.
300000
Let t = 770.97 - -6.03. Let o = 563659074 - 563658296.999481. Let r = t - o. What is r rounded to 4 decimal places?
-0.0005
Let i = 1273 + -1143.2. Let q = -176.775 + i. Let u = q - -47. What is u rounded to 2 dps?
0.03
Let g = -376.9758 + 377. Let x = g + -0.0599. What is x rounded to 2 dps?
-0.04
Let j = -37507.81 - -37817. Round j to the nearest one hundred.
300
Let i be (-2172)/(-54) - 2/9. Let u(z) = -z**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7/2*b**2 + 0 + 1/6*b**3. Determine u(r).
-3
Let b = -125 + 179. Suppose -14*s + 232 = -594. Let w = s - b. Let a(m) = m**2 - 5*m + 3. Determine a(w).
3
Suppose -3*r = -2*r - 4, -6 = -3*d + 3*r. Let m(i) = -d*i**2 + 3*i**2 + 5*i**2 + 4*i + 1. Let l(s) = -1. Let k(f) = 2*l(f) + m(f). Give k(-3).
5
Let l(o) = -o**2 + 10*o + 1. Let u(i) = -7. Let q(p) = l(p) - u(p). What is q(12)?
-16
Let a be -11 + (10/(-50) - (-22)/10). Let g(h) be the third derivative of -h**6/120 - 2*h**5/15 + 3*h**4/8 - 2*h**3/3 + 19*h**2. Determine g(a).
-4
Let d(b) = 31*b - 39. Let g(v) = 17*v - 21. Let l(x) = 6*d(x) - 11*g(x). Determine l(11).
-14
Let n be (1 - 17)/(-2 - 0). Let p = 40 - 18. Let w(l) = -4*l - 4 - 21 - l**3 + p + 9*l**2. What is w(n)?
29
Let i(a) be the first derivative of -a**4/4 + 10*a**3 - 29*a**2 + 51*a + 1969. Give i(28).
-5
Let l = 25 - 17. Suppose -6 = -n - 2*n, -t - l = 5*n. Let k be ((-12)/t)/(1/(-3)). Let c(j) = -6*j**2 - 2*j - 2. Calculate c(k).
-22
Let x(d) = 4*d + 2. Let b = -136 + 296. Let k be b/25 + (-4)/10. Suppose -k*a = -9*a - 12. What is x(a)?
-14
Let i(c) = 132*c - 4753. Let j be i(36). Let u(r) = -54*r**2 + 2. What is u(j)?
-52
Let d = -2535 - -2539. Let h(g) = g - 6. What is h(d)?
-2
Let k be ((1280/100 - 13)*(-1 - -1))/(-1). Let b(g) = -2*g - g**3 + 5*g - 4*g - 3. Give b(k).
-3
Let g(w) = 7*w**3 + 22*w**2 + 38*w - 60. Let n(f) = f**3 + f**2 + f - 17. Let d(y) = g(y) - 6*n(y). What is d(-14)?
-14
Let o(h) be the third derivative of h**4/24 - h**3/3 - 790*h**2 + 2*h. Let l(s) = 8*s - 18. Let x(r) = 4*l(r) - 36*o(r). Let v be 8/3*(-6)/(-4). Determine x(v).
-16
Suppose -8 = -18*p + 14*p. Suppose 3*w - 2*n = 13 - 1, -3*w = p*n - 12. Let d(h) = 2*h + 3. Determine d(w).
11
Let m be 165/(-33) - (-32)/2. Suppose -133 = -m*o - 122. Let c(k) = -2*k**3 - k**2 + 2*k - 2. Determine c(o).
-3
Let f(q) = -q**2 - q - 1. Let c be 24/(-80) + (-17)/10. Let h(g) = 3*g**2 - 2*g. Let o(y) = c*f(y) - h(y). What is o(6)?
-10
Suppose -1255 = -18*n + 4631. Let q(w) = 335*w**2 - w**3 + 6 - w + n*w**2 - 662*w**2. Calculate q(0).
6
Let t(u) = u**2 + 6*u + 9. Let s = -289 - -291. Let j(x) = -3*x**2 - 15*x - 19. Let b(i) = s*j(i) + 5*t(i). Determine b(-6).
-29
Let k(m) = -2*m - 152. Let j(q) = 69*q + 5635. Let a(t) = 5*j(t) + 184*k(t). Give a(9).
0
Let t(g) = -46*g + 180. Suppose 41 - 25 = -2*a + 4*n, 0 = -3*a - 2*n + 24. Give t(a).
-4
Let z(i) = 4*i - i - 2*i. Let m be 1 - -1*(-228)/4. Let f be (-50)/125 + m/10. What is z(f)?
-6
Let c(h) = h - 3. Let f(x) = 6*x - 15. Let u(r) = -11*c(r) + 2*f(r). Suppose -1 + 7 = 2*m - 5*g, 5*m = -g + 15. What is u(m)?
6
Let h = 15756 - 15760. Let g(p) = -7*p**2 - p + 6. Calculate g(h).
-102
Suppose -2*n + 0*n - 6 = 2*r, 18*r = 3*n - 117. Let x(p) be the third derivative of 0 + 0*p**4 + 0*p + 1/30*p**5 - 15*p**2 + 0*p**n. Give x(1).
2
Let k be (-1)/(-15) + (-298072)/555. Let c = k + 546. Let j(o) = o - 9. What is j(c)?
0
Let w be (-4)/((-240)/75) - (-3)/4. Let u(x) = -x**3 - x**2 - x + 4. Calculate u(w).
-10
Let l = -114 + 127. Let p = 19 - l. Let h(v) = -2*v + 1 - 3 + 0 + 3*v. Determine h(p).
4
Let j(k) = -k - 4. Let c(g) = 1. Let r(q) = 6*c(q) + j(q). Let h(f) = 4*f - 7. Let t be 62/3 + 1 + 17/51. Let n(p) = t*r(p) + 6*h(p). Give n(-4).
-6
Let c(o) = 2*o**2 + 6*o - 9. Suppose -3*f - 41 = 4*x, -5*x - 4*f - 43 = -2*x. Calculate c(x).
11
Let v(m) be the third derivative of m**7/840 + m**6/120 + m**5/30 + m**4/12 - 22*m**3 + 312*m**2. Let l(y) be the first derivative of v(y). Calculate l(-2).
-2
Let v(t) be the second derivative of t**5/20 + 7*t**4/6 + 13*t**3/3 - 17*t**2/2 - 1792*t. Determine v(-12).
-41
Let u(a) = 187*a + 94. Let j(c) = 154*c + 92. Let k(l) = -6*j(l) + 5*u(l). Determine k(5).
-27
Let s(g) be the second derivative of g**3/2 - 4*g**2 + 19493*g. Suppose -4*i = 4*d - 6*i - 10, 5*d - 2*i - 15 = 0. What is s(d)?
7
Let z(r) = r**2 + 5*r - 8. Let i be (-12)/(-48) - (-939)/(-12). Let u be 16/(-6) - i/(-18). Give z(u).
6
Let i(y) be the first derivative of -y**4/2 - 4*y**3/3 - y**2/2 + 1. Let h(t) = -t**2 + 4*t + 14. Let o be h(-3). Let b be -6*o/((-98)/7). Give i(b).
21
Let x(o) = -o**2 + 12*o + 35. Let v = 615 + -603. Determine x(v).
35
Let y(q) = 13*q - 2. Let k(l) = 35*l**3 + 2939*l**2 - 84*l - 5. Let j be k(-84). What is y(j)?
-67
Let s(r) = -r**2 - 2*r - 4. Suppose 0 = 8*w - 7*w - 5. Suppose w*b - 14 = 6. Let a(t) = -1. Let f(v) = b*a(v) - s(v). Determine f(-4).
8
Let j(m) = 4 + 0 - 2 - m. Let z be 32384/(-6578) + (-1)/13. Calculate j(z).
7
Suppose 0 = 459*b - 177*b + 1109 + 3403. Let t(m) = -m**2 - 8*m + 135. Give t(b).
7
Suppose 0 = -0*b + 4*b + 16. Let h = b - -1. Let k(r) be the second derivative of -r**4/12 - r**3/6 + r**2 + 856*r. Give k(h).
-4
Let a = 4568 + -4557. Let r(z) = z**3 - 13*z**2 + 20*z - 5. What is r(a)?
-27
Let s(d) be the first derivative of -7*d**2 + 23*d + 758. What is s(8)?
-89
Let x(h) be the third derivative of -h**4/24 - 8*h**3/3 + 32*h**2 + 1. Suppose 351 = -17*u - 10*u. What is x(u)?
-3
Let k(y) = y + 13. Let p(g) = 4*g**2. Let v be p(-2). Suppose v*z - 11*z = 0. Suppose u + 4*r + 0*r = z, u - 3*r = 0. Give k(u).
13
Let x(a) = -a**2 - 7*a - 4. Let w(d) be the third derivative of d**5/60 + 11*d**4/24 + 2*d**3 + 23*d**2. Let u be w(-8). Let m be (-1)/(1/u*-2). Give x(m).
2
Let q(f) be the first derivative of f**4/4 + 2*f**3 + 7*f**2/2 + f - 1. Suppose -3*c + 12 = -3*y, 0 = 3*c - 696*y + 699*y + 42. Calculate q(c).
-9
Let q(u) be the third derivative of u**5/60 + 3*u**4/8 - 14*u**3/3 - 3*u**2 - 1. Give q(-12).
8
Let b(i) = -i - 6. Suppose 4*t + 49 - 53 = 0. Let f be (5*t/15)/((-2)/36). What is b(f)?
0
Let o(b) = 11*b. Suppose -4*v + 8*v = 8*v. Determine o(v).
0
Let n(f) = -8*f - 24*f + 2 - 17*f - 9*f + 74*f + 3*f**2. Give n(-7).
37
Let l be -3 - (22/8 - (-2)/8). Let i(j) = 4*j**3 - 15*j**2 + 8*j - 1. Let x(q) = q**3 - 5*q**2 + 3*q. Let h(a) = 2*i(a) - 7*x(a). Calculate h(l).
-8
Let v(w) be the first derivative of w**4/24 - 2*w**3/3 + 151*w**2/2 + 218. Let p(n) be the second derivative of v(n). Determine p(-4).
-8
Let u(t) = t**2 - 10*t - 29. Let y be u(-11). Let j = -196 + y. Let i(b) = b - 10. Let z(m) = m - 10. Let r(a) = -2*i(a) + 3*z(a). Calculate r(j).
-4
Let l(p) = -p**2 + 13*p + 17. Suppose 0 = 5*j + 5*s - 55, -5*s = 3*j - 7*j + 71. Let q be l(j). Let v(n) = -n**q - n - 5*n**2 - 3*n + 5*n. Determine v(-5).
-5
Suppose -c + 4*c = -4*h + 167, 0 = 3*h + 4*c - 120. Suppose -38*n - 36 = -h*n. Let u(q) = -q**2 + 8*q - 20. What is u(n)?
-8
Let t(d) = -8*d**2 - 20*d - 4. Let a be t(3). Let y = -125 - a. Let g(i) = -i**3 + 11*i**2 - 3*i - 13. Determine g(y).
-46
Let x be (23 + 1)*(14 + (-752)/24). Let w = 403 + x. Let h(s) = s**2 + 14*s + 13. What is h(w)?
0
Let k(x) be the second derivative of 7*x**5/10 + x**4/12 + x**3 + 2*x**2 - 4465*x. What is k(-1)?
-15
Let v = 60 - 61. Let w(b) = -51*b - 12. Let q(k) = -4*k - 1. Let p(s) = -27*q(s) + 2*w(s). Let c be p(v). Let i(y) = y**2 + 3*y - 1. Give i(c).
-1
Let o(r) = -r - 109. Let j = 5094 - 5094. Determine o(j).
-109
Let b(w) = -w + 5. Suppose -4*l - 16 = -5*x, -4*l = 4*x + 24 - 8. Let k = x - -10. Give b(k).
-5
Let a(g) = -288 + 103 + 6*g**2 - 4*g**2 - 289 - 232 + 61*g. Calculate a(9).
5
Let b be 1/(-4) + (-34)/(-8). Suppose x = -4*f - 2, -b*x + 12 + 0 = -4*f. Let d(o) = 1 + 12*o**2 + 2268*o - 753*o - 758*o - 756*o. Calculate d(f).
12
Let g(v) = 4*v**2 + 67*v - 1521. Let p(i) = -i**2 - 16*i + 379. Let w(u) = -2*g(u) - 9*p(u). What is w(-25)?
6
Let d(f) be the third derivative of -f**6/60 + f**5/12 - f**4/8 + 2*f**3/3 - f**2. Let i = -220293 - -220296. Calculate d(i).
-14
Let g(p) = 20*p**2 - 5*p - 1. Let z(s) = -9*s**2 + 2*s + 1. Let f = -374 - -383. Let i(h) = f*z(h) + 4*g(h). Let t(n) = n - 2. Let r be t(-3). Determine i(r).
-10
Suppose 1 = 5*w - 29. Let j be -2*44/(-56) - (-15)/35. Let f(k) = -3*k + 9*k**2 + w - k - 8*k**j. Determine f(4).
6
Let f = 9848 + -9850. Let h(q) = -11*q**3 + 1. Determine h(f).
89
Suppose -5*u - 5*m - 4450 + 670 = 0, 5*u - 4*m = -3735. Let n = u - -752. Let t(o) = -13*o**2 - 3*o + 3. What is t(n)?
-13
Let m(q) = -q**3 + 4*q**2 - 3*q. Let j(h) = h**2 - 7*h + 14. Let w be j(4). Let n be m(w). Let t(u) = -7*u**2 + u**2 - 8*u - 2 - 3*u**n + 8*u**2. What is t(-8)?
-2
Let y(z) be the second derivative of z**5/10 - z**4
|
{
"pile_set_name": "DM Mathematics"
}
|
8:02 PM and 11:25 PM?
203
What is 121 minutes before 6:25 AM?
4:24 AM
How many minutes are there between 7:52 AM and 8:32 AM?
40
How many minutes are there between 5:38 AM and 11:52 AM?
374
What is 142 minutes before 3:39 AM?
1:17 AM
How many minutes are there between 3:14 AM and 5:33 AM?
139
What is 240 minutes after 12:14 PM?
4:14 PM
What is 317 minutes before 4:02 PM?
10:45 AM
What is 488 minutes before 3:25 PM?
7:17 AM
How many minutes are there between 5:15 PM and 5:59 PM?
44
What is 706 minutes before 11:03 AM?
11:17 PM
What is 520 minutes after 12:50 AM?
9:30 AM
How many minutes are there between 3:03 AM and 11:27 AM?
504
What is 289 minutes before 3:54 PM?
11:05 AM
What is 96 minutes after 10:24 PM?
12:00 AM
How many minutes are there between 8:09 PM and 7:11 AM?
662
What is 634 minutes before 7:29 AM?
8:55 PM
How many minutes are there between 2:03 AM and 8:34 AM?
391
What is 298 minutes after 3:43 PM?
8:41 PM
What is 430 minutes after 8:35 AM?
3:45 PM
What is 681 minutes before 11:53 PM?
12:32 PM
How many minutes are there between 10:05 AM and 5:06 PM?
421
What is 291 minutes before 2:59 AM?
10:08 PM
How many minutes are there between 3:23 AM and 10:51 AM?
448
What is 243 minutes after 4:10 PM?
8:13 PM
What is 171 minutes after 1:43 PM?
4:34 PM
What is 386 minutes after 5:11 PM?
11:37 PM
How many minutes are there between 8:41 PM and 10:25 PM?
104
How many minutes are there between 7:49 PM and 2:16 AM?
387
What is 610 minutes after 10:47 AM?
8:57 PM
How many minutes are there between 8:45 PM and 9:26 PM?
41
How many minutes are there between 7:28 AM and 9:23 AM?
115
What is 665 minutes before 1:06 AM?
2:01 PM
How many minutes are there between 10:15 PM and 3:18 AM?
303
What is 42 minutes after 4:28 AM?
5:10 AM
How many minutes are there between 3:03 PM and 6:09 PM?
186
What is 71 minutes after 8:37 AM?
9:48 AM
How many minutes are there between 5:54 AM and 1:59 PM?
485
What is 90 minutes before 12:35 AM?
11:05 PM
How many minutes are there between 11:38 AM and 10:01 PM?
623
What is 44 minutes before 3:02 AM?
2:18 AM
How many minutes are there between 1:11 PM and 10:39 PM?
568
What is 473 minutes after 4:03 AM?
11:56 AM
What is 623 minutes after 1:17 AM?
11:40 AM
How many minutes are there between 10:23 PM and 6:06 AM?
463
How many minutes are there between 5:13 PM and 2:01 AM?
528
What is 300 minutes before 5:41 PM?
12:41 PM
How many minutes are there between 6:48 PM and 3:34 AM?
526
How many minutes are there between 7:29 AM and 9:44 AM?
135
How many minutes are there between 8:08 PM and 8:14 PM?
6
How many minutes are there between 2:52 AM and 4:21 AM?
89
How many minutes are there between 4:58 PM and 12:21 AM?
443
How many minutes are there between 6:10 AM and 6:29 AM?
19
How many minutes are there between 7:56 AM and 12:47 PM?
291
What is 12 minutes before 9:41 PM?
9:29 PM
How many minutes are there between 12:30 AM and 12:10 PM?
700
How many minutes are there between 7:39 AM and 1:10 PM?
331
What is 91 minutes after 6:07 AM?
7:38 AM
What is 20 minutes before 4:37 PM?
4:17 PM
How many minutes are there between 10:57 AM and 11:08 AM?
11
How many minutes are there between 8:00 PM and 10:50 PM?
170
How many minutes are there between 12:26 AM and 10:54 AM?
628
How many minutes are there between 1:44 AM and 6:57 AM?
313
How many minutes are there between 9:23 PM and 12:13 AM?
170
How many minutes are there between 10:16 AM and 12:51 PM?
155
What is 303 minutes before 9:46 AM?
4:43 AM
What is 444 minutes before 1:13 AM?
5:49 PM
How many minutes are there between 12:27 AM and 6:04 AM?
337
How many minutes are there between 8:19 PM and 1:08 AM?
289
What is 399 minutes after 9:42 AM?
4:21 PM
What is 249 minutes before 2:31 PM?
10:22 AM
What is 185 minutes after 11:22 AM?
2:27 PM
What is 419 minutes before 8:20 AM?
1:21 AM
What is 687 minutes before 12:18 PM?
12:51 AM
What is 418 minutes after 5:45 AM?
12:43 PM
What is 235 minutes before 10:03 AM?
6:08 AM
How many minutes are there between 9:34 AM and 8:20 PM?
646
What is 252 minutes after 4:11 AM?
8:23 AM
What is 10 minutes before 2:46 AM?
2:36 AM
How many minutes are there between 3:05 AM and 1:35 PM?
630
What is 467 minutes before 1:09 AM?
5:22 PM
How many minutes are there between 2:38 AM and 4:21 AM?
103
What is 54 minutes after 3:47 AM?
4:41 AM
What is 20 minutes after 10:16 PM?
10:36 PM
What is 448 minutes before 3:21 AM?
7:53 PM
What is 646 minutes after 6:37 PM?
5:23 AM
How many minutes are there between 12:35 AM and 5:44 AM?
309
How many minutes are there between 1:25 AM and 1:31 AM?
6
How many minutes are there between 4:50 PM and 7:40 PM?
170
How many minutes are there between 10:41 PM and 11:40 PM?
59
How many minutes are there between 8:37 PM and 9:37 PM?
60
What is 439 minutes before 3:07 PM?
7:48 AM
How many minutes are there between 9:54 AM and 8:58 PM?
664
What is 96 minutes after 8:40 PM?
10:16 PM
How many minutes are there between 6:45 AM and 6:49 AM?
4
How many minutes are there between 8:04 PM and 3:58 AM?
474
What is 644 minutes before 3:21 PM?
4:37 AM
What is 309 minutes before 4:13 AM?
11:04 PM
How many minutes are there between 1:59 AM and 1:24 PM?
685
How many minutes are there between 6:58 PM and 4:39 AM?
581
How many minutes are there between 6:18 PM and 5:37 AM?
679
How many minutes are there between 9:35 AM and 10:10 AM?
35
What is 715 minutes after 12:06 PM?
12:01 AM
How many minutes are there between 4:05 PM and 4:15 PM?
10
What is 277 minutes after 8:46 PM?
1:23 AM
How many minutes are there between 6:26 PM and 11:48 PM?
322
What is 59 minutes after 5:17 PM?
6:16 PM
What is 325 minutes after 12:58 PM?
6:23 PM
How many minutes are there between 4:40 AM and 4:51 AM?
11
How many minutes are there between 10:42 AM and 3:28 PM?
286
What is 507 minutes after 3:49 PM?
12:16 AM
How many minutes are there between 1:05 AM and 2:04 AM?
59
What is 265 minutes before 10:03 AM?
5:38 AM
How many minutes are there between 5:21 PM and 1:04 AM?
463
How many minutes are there between 6:02 PM and 11:12 PM?
310
How many minutes are there between 11:52 AM and 9:09 PM?
557
How many minutes are there between 12:14 PM and 8:08 PM?
474
What is 67 minutes before 10:51 PM?
9:44 PM
How many minutes are there between 5:38 PM and 9:33 PM?
235
How many minutes are there between 7:34 PM and 12:00 AM?
266
What is 170 minutes before 5:09 PM?
2:19 PM
How many minutes are there between 2:35 PM and 1:06 AM?
631
What is 687 minutes after 7:36 AM?
7:03 PM
How many minutes are there between 8:30 AM and 4:23 PM?
473
How many minutes are there between 9:07 AM and 4:07 PM?
420
How many minutes are there between 1:19 AM and 7:35 AM?
376
What is 501 minutes after 7:00 PM?
3:21 AM
How many minutes are there between 6:04 AM and 6:53 AM?
49
How many minutes are there between 12:36 PM and 8:10 PM?
454
How many minutes are there between 8:54 AM and 9:38 AM?
44
What is 165 minutes before 5:47 PM?
3:02 PM
What is 689 minutes before 9:47 PM?
10:18 AM
How many minutes are there between 10:49 AM and 10:18 PM?
689
How many minutes are there between 8:47 PM and 11:15 PM?
148
What is 507 minutes before 8:16 PM?
11:49 AM
What is 82 minutes after 8:11 PM?
9:33 PM
How many minutes are there between 10:10 PM and 5:58 AM?
468
How many minutes are there between 12:10 PM and 5:28 PM?
318
What is 298 minutes before 10:12 AM?
5:14 AM
How many minutes are there between 12:43 PM and 9:08 PM?
505
How many minutes are there between 8:22 AM and 6:49 PM?
627
How many minutes are there between 7:28 PM and 8:17 PM?
49
How many minutes are there between 2:37 PM and 10:42 PM?
485
How many minutes are there between 3:36 AM and 10:36 AM?
420
What is 404 minutes before 12:47 AM?
6:03 PM
What is 36 minutes after 10:03 PM?
10:39 PM
How many minutes are there between 3:08 AM and 2:52 PM?
704
What is 643 minutes after 11:53 PM?
10:36 AM
How many minutes are there between 1:45 AM and 12:40 PM?
655
What is 39 minutes after 12:29 AM?
1:08 AM
What is 111 minutes before 10:00 AM?
8:09 AM
What is 410 minutes after 5:12 AM?
12:02 PM
What is 388 minutes before 10:22 PM?
3:54 PM
How many minutes are there between 9:52 PM and 10:52 PM?
60
How many minutes are there between 11:55 AM and 5:39 PM?
344
What is 677 minutes after 2:24 AM?
1:41 PM
Ho
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming v is positive.
v**(-515/4)
Simplify ((w**(-16)*w)/w)**(-33)/(w**(-15)/(w*(w*(w**31*w)/w*w)/w*w)) assuming w is positive.
w**577
Simplify (((t/(t/(t/((t/(t*t**(-1/5)/t))/t))*t))/t)**(19/3))**(-2/29) assuming t is positive.
t**(76/145)
Simplify (o*(o*o*o*o**(2/7)/o*o)/o)**(2/11)/(o/o**7*o**(-3/4)/o) assuming o is positive.
o**(2571/308)
Simplify (c**7*c)/((c*c**(5/6)*c)/c)*(c*c**2)/c**11 assuming c is positive.
c**(-11/6)
Simplify ((k**(-2/5))**(-1/40)*(k**(-3/5))**(3/2))**(37/2) assuming k is positive.
k**(-3293/200)
Simplify k**1/((k*k**(2/7)/k)/k)*(k*k**(-6/11))/(k/(k/k**(3/4))) assuming k is positive.
k**(437/308)
Simplify (((h*h**5)/(h**(-1/4)*h))/((h**(-3/7)*h)/h**(-1/2)))**(-34) assuming h is positive.
h**(-1989/14)
Simplify (f/f**11)**33*(f/(f*f*f**14/f*f))/((f/(f*f/(f**(-18/7)/f)))/f) assuming f is positive.
f**(-2376/7)
Simplify (((m*(m*m/(m/m**(-1/13)))/m)/m)/m)**(-42)*m**38*m**(-3/4) assuming m is positive.
m**(4289/52)
Simplify ((u/(u/((u*(u*u**(-10/3))/u*u*u*u)/u)))/u*u)**(-30)/(u*(u**11*u)/u)**(25/2) assuming u is positive.
u**(-140)
Simplify (g**19/g**(-1/4))/(g*g**4*g)**(2/11) assuming g is positive.
g**(799/44)
Simplify ((m*m*m/m**(-9/4))/m)**(-1/20)*(m**(-1/6)*m*m*m)**(-23/3) assuming m is positive.
m**(-15793/720)
Simplify (d*d**(6/7)/d)/d**(2/31)*(((d*d**(-2/11)*d)/d)/d*d)/d**(-7/6) assuming d is positive.
d**(39779/14322)
Simplify ((g*g*g**(-2))**(-10/13)*((g*(g*g/((g*g*g*g*g**0*g)/g)*g)/g)/g)**43)**27 assuming g is positive.
g**(-2322)
Simplify (q*q**(-1/4))**(-47)/(q**11)**(-36) assuming q is positive.
q**(1443/4)
Simplify ((a**5)**(-11))**(-47) assuming a is positive.
a**2585
Simplify h**3/((h/h**(-8))/h)*h**(-12)/(h/h**(-1/4)) assuming h is positive.
h**(-73/4)
Simplify p**10/(p/(p**(-13)/p*p))*(p**(-2/5)/p)**(1/28) assuming p is positive.
p**(-81/20)
Simplify (f**(-1)/f)**(-2/45)/(f*f*f*f**1*f)**(-13/5) assuming f is positive.
f**(589/45)
Simplify ((((m/(m**(-2/5)*m))/m)/m**(-1/2))/(m*m**3/m*m)**(-1))**(-49) assuming m is positive.
m**(-1911/10)
Simplify ((t*t/(t/(t*t**(3/8)/t)))/t**(-11))/(t/(t*t/(t*(t*t*t*t/t**(-1/7)*t*t)/t*t)))**(-34) assuming t is positive.
t**(12389/56)
Simplify ((u/(u/u**(-1/5)))/(u**17/u))/(u**(-2/19)/(u*u*u*u*u**9*u*u*u*u)) assuming u is positive.
u**(86/95)
Simplify ((b*(b**(-3/5)*b)/b*b)/(b*(b*b/(b**(-10)/b*b*b)*b)/b))/((b/b**(-3))/b*b)**(2/71) assuming b is positive.
b**(-3803/355)
Simplify d**21/(d/d**(-12))*d*d/(d/(d**(5/3)*d))*d**(3/16) assuming d is positive.
d**(569/48)
Simplify t*t*t**(2/5)*t*t**(4/3)*(t*t**27)/t**(-2/87) assuming t is positive.
t**(14249/435)
Simplify n**6/(n**7/n*n)*(n**0)**(-19/3) assuming n is positive.
1/n
Simplify (t*t**0)**(-2/113)*(t*t**(1/20))**(-6/11) assuming t is positive.
t**(-7339/12430)
Simplify ((m/((m/(m**1/m)*m*m)/m)*m*m)**(-19/6))**(-1/13) assuming m is positive.
m**(19/78)
Simplify ((a/((a/(a*a**(-25)*a))/a)*a*a**13)**(-1/24))**(4/9) assuming a is positive.
a**(4/27)
Simplify (c**(3/5)*c)**(-2/45)*(c*c**(-1))**(-28) assuming c is positive.
c**(-16/225)
Simplify j**(-6/11)/j**(-4/29)*(j**34)**(2/51) assuming j is positive.
j**(886/957)
Simplify ((k/(k**(-2/3)/k))**(1/29)/(k**0)**(-2/21))**44 assuming k is positive.
k**(352/87)
Simplify q**(-29)/(q*q**(-12/7))*(q**(-18)*q)/q**(4/11) assuming q is positive.
q**(-3515/77)
Simplify ((d/d**(-1/5)*d**10)**(1/13))**0 assuming d is positive.
1
Simplify c/(c*c/c**2)*(c/c**(4/17))/c*c**(-1/19)*c*c*c*c**5 assuming c is positive.
c**(2814/323)
Simplify (v**23*v**(9/7)*v)/(v**(-10))**(1/27) assuming v is positive.
v**(4849/189)
Simplify (c/c**10)**(-2/21)/(c**(-34)/c**(1/12)) assuming c is positive.
c**(2935/84)
Simplify (m*m*(m/(m/m**(-13))*m)/m)**31/((m/(m/(m/(m*m*m**(-3/34)))))/(m/(m*m/(m*(m*m/m**20)/m)*m))) assuming m is positive.
m**(-12243/34)
Simplify (c**(2/17)/(c/(c**(17/6)/c)))**(2/3) assuming c is positive.
c**(97/153)
Simplify (g**(-2/13))**(-3)*g/g**(-29)*g/g**(-30) assuming g is positive.
g**(799/13)
Simplify (h/((h**(7/2)/h)/h))/h*h*h/h**(-6)*h*h**37/h**(-3/11) assuming h is positive.
h**(985/22)
Simplify (x**(1/4)*x**(5/2))/(x/x**(4/9)*x*(x/(x*x**(5/3)))/x) assuming x is positive.
x**(139/36)
Simplify (s/(s**(-7)*s))**(-35)*s**(-1/19)/(s/s**(-19)) assuming s is positive.
s**(-5036/19)
Simplify (i/(i**4*i))/(i*i**(1/4))*(i/((i**(-8)*i)/i))/((i/(i**(-2)/i*i))/i*i) assuming i is positive.
i**(3/4)
Simplify (x**(-6)/(x**3*x*x)*(x/x**8*x)/((x/x**(-2/7))/x*x*x))**(-8) assuming x is positive.
x**(1080/7)
Simplify (f*f**(-2/9)*(f**(-12)*f*f)/f*f*f)/(f**(-1/14)*f**(-11)/f*f*f) assuming f is positive.
f**(233/126)
Simplify ((a**0/(a*a**(-4)))**35)**(-11) assuming a is positive.
a**(-1155)
Simplify (q/q**(-5)*q*q**7*q*q)/(q**9*q*q*q/(q**(-12)*q)) assuming q is positive.
q**(-7)
Simplify (y**(-17)*y/(y/y**(-1/27)))**(16/5) assuming y is positive.
y**(-1472/27)
Simplify ((r**(-4)/r**(-2/7))/(r**5/r**(5/4)))**24 assuming r is positive.
r**(-1254/7)
Simplify ((q/q**(1/3))**(-10))**(-5/6) assuming q is positive.
q**(50/9)
Simplify ((j/j**(-6/11))/(j/j**(2/13)))/(j**(1/5))**(16/3) assuming j is positive.
j**(-788/2145)
Simplify (((o**(-5/3)*o)/o**(-4))**(-3/22))**(-11/4) assuming o is positive.
o**(5/4)
Simplify ((k*k**17*k*k)/k**(1/12))/(k**(1/8))**(2/13) assuming k is positive.
k**(776/39)
Simplify (b**(1/12))**(22/9)/((b*b**(2/85)*b)/b*b*b**6) assuming b is positive.
b**(-35893/4590)
Simplify (u**9/(u**(-9/4)/u))/(u**(-3/14)/u*u*u**(6/13)) assuming u is positive.
u**(4369/364)
Simplify (s/(s*s**(-4/9)*s))/s**32*s/(s/(s/((s*s*(s**9/s*s)/s)/s)))*s**(-2/13) assuming s is positive.
s**(-4763/117)
Simplify i**2*i*i*i/(i*(i*(i/((i**(-1/17)/i*i)/i))/i*i)/i)*i/i**(1/5)*i**(4/3) assuming i is positive.
i**(1039/255)
Simplify ((x**3*x)/(x**(-14)*x))/((x**(-12/11)/x)/((x**(-1/3)/x)/x)) assuming x is positive.
x**(553/33)
Simplify (v*v**(-4)*v*v/v**(8/3))/(v/(v*v**7/v))**(-33) assuming v is positive.
v**(-605/3)
Simplify (q**16*q/((q/(q/(q*q/(q*q**(1/15))*q*q)))/q*q))/(q*q**(1/3)*q)**(-9) assuming q is positive.
q**(526/15)
Simplify o**26/o**(9/4)*(o*o**12)/(o/o**21) assuming o is positive.
o**(227/4)
Simplify (b/((b/(b**7*b*b*b))/b))**(-2)*(b/(((b/b**22)/b)/b))/(b**8*b*b) assuming b is positive.
b**(-8)
Simplify (q**(-16)/q**19)**(-24) assuming q is positive.
q**840
Simplify (h**(2/5)*h**(-3)*h*(h*h/h**0*h*h)/h**(2/17))**(-15/7) assuming h is positive.
h**(-582/119)
Simplify (a**(1/13)*a*a*a**(-3/7)*a**(-2/19)/(a**(11/5)/a))**17 assuming a is positive.
a**(50422/8645)
Simplify j**(-9)*j*j*j**11*j*j*(j/(j**7*j))**(-11/5) assuming j is positive.
j**(107/5)
Simplify (p/p**1)**(-5/6)/((p/p**(-1/11))/p*p**(-10/3)/p) assuming p is positive.
p**(140/33)
Simplify (p**(-38)*p**(-11/5))/(p**35/(p/(p/p**(-1/35))*p)) assuming p is positive.
p**(-2598/35)
Simplify (h/h**(1/2))**(19/3)/((h/(h*h*h**5)*h)/(h*h/(h*h**(-3/2)))) assuming h is positive.
h**(32/3)
Simplify l/l**(6/5)*l*l**(1/2)*((l/(l**(-8)/l)*l)/l)/(l/l**(-3/2)*l) assuming l is positive.
l**(39/5)
Simplify ((h*h**0)**(14/9)/(h/(h*h/(h*h/h**(-1/2))))**34)**(-1/29) assuming h is positive.
h**(445/261)
Simplify (y/(y**(-2/7)/y))**6*(y**(-3)/y)/y**(-4/7) assuming y is positive.
y**(72/7)
Simplify (a**(-7))**30/((((a*a**(-18))/a)/a)/(a**(-15)*a)) assuming a is positive.
a**(-205)
Simplify ((l/l**(7/2)*l**(-2))**36)**(-3/17) assuming l is positive.
l**(486/17)
Simplify (x**(3/4))**(-14)/((x**(-2/9)/x)/(x**(-9/2)/x)) assuming x is positive.
x**(-133/9)
Simplify k/(k**(-4)/k*k)*k/(k/k**6)*k**(2/9)/k**(-5/4) assuming k is positive.
k**(449/36)
Simplify (((y*y/(y/(y**(-1/7)/y)))/y**2)/(y/(y**(2/7)/y*y)*y**(-2/25)*y))**17 assuming y is positive.
y**(-11237/175)
Simplify (((y/y**(2/7))**(-10))**18)**(-26) assuming y is positive.
y**(23400/7)
Simplify (c**4)**(25/2)*(c/(c/c**(-4)*c))**(-1/4) assuming c is positive.
c**(205/4)
Simplify ((f**(-1/34)/f*f)/f)/(f/(f**(-1/28)/f))*f*f**(-8)*f**(-6)/f*f*f*f assuming f is positive.
f**(-6695/476)
Simplify (a**21/a**2)/(a**(-9/4)/((a/(a*a*a/a**(-3/7)*a))/a)) assuming a is positive.
a**(471/28)
Simplify ((x/(x/(x*x/x**(4/7))))/(x/x**(-12)))/((x/(x/((x/x**(-2/11))/x)))/x**(3/5)) assuming x is positive.
x**(-4294/385)
Simplify w**9*w**(11/2)*w**(-24)*w**(-1/17) assuming w is positive.
w**(-325/34)
Simplify (d**(2/83)/((d/(d*d**18))/d))/
|
{
"pile_set_name": "DM Mathematics"
}
|
8:05 PM and 5:24 AM?
559
What is 704 minutes after 2:17 AM?
2:01 PM
What is 244 minutes before 1:53 AM?
9:49 PM
What is 155 minutes before 4:40 PM?
2:05 PM
What is 149 minutes after 9:30 AM?
11:59 AM
What is 709 minutes after 6:30 AM?
6:19 PM
What is 63 minutes after 1:05 AM?
2:08 AM
How many minutes are there between 10:16 PM and 9:41 AM?
685
How many minutes are there between 11:06 AM and 12:08 PM?
62
How many minutes are there between 8:05 PM and 5:50 AM?
585
What is 605 minutes after 8:49 PM?
6:54 AM
How many minutes are there between 2:06 PM and 7:38 PM?
332
How many minutes are there between 9:55 PM and 12:10 AM?
135
How many minutes are there between 4:35 AM and 12:47 PM?
492
What is 36 minutes after 7:17 AM?
7:53 AM
What is 549 minutes after 2:31 PM?
11:40 PM
What is 641 minutes after 4:18 PM?
2:59 AM
How many minutes are there between 4:12 AM and 8:15 AM?
243
What is 444 minutes after 6:56 AM?
2:20 PM
What is 692 minutes after 6:38 AM?
6:10 PM
How many minutes are there between 4:03 AM and 5:19 AM?
76
How many minutes are there between 4:10 PM and 2:57 AM?
647
What is 158 minutes before 5:46 PM?
3:08 PM
What is 111 minutes before 4:22 PM?
2:31 PM
How many minutes are there between 12:28 AM and 1:19 AM?
51
How many minutes are there between 10:10 PM and 9:53 AM?
703
What is 69 minutes after 8:05 AM?
9:14 AM
How many minutes are there between 9:02 AM and 4:38 PM?
456
What is 253 minutes after 2:30 PM?
6:43 PM
What is 342 minutes before 7:49 PM?
2:07 PM
What is 470 minutes after 12:51 PM?
8:41 PM
How many minutes are there between 3:07 PM and 5:54 PM?
167
What is 715 minutes after 11:05 PM?
11:00 AM
What is 719 minutes after 5:59 AM?
5:58 PM
What is 149 minutes after 7:55 PM?
10:24 PM
How many minutes are there between 4:33 AM and 9:10 AM?
277
How many minutes are there between 11:14 AM and 3:10 PM?
236
How many minutes are there between 9:03 AM and 7:42 PM?
639
What is 255 minutes before 6:00 AM?
1:45 AM
What is 419 minutes after 11:01 AM?
6:00 PM
What is 291 minutes before 10:16 PM?
5:25 PM
How many minutes are there between 9:24 PM and 10:04 PM?
40
How many minutes are there between 11:26 PM and 12:06 AM?
40
How many minutes are there between 2:14 PM and 11:21 PM?
547
How many minutes are there between 4:23 PM and 6:30 PM?
127
What is 155 minutes after 9:23 PM?
11:58 PM
What is 715 minutes after 3:06 PM?
3:01 AM
How many minutes are there between 7:49 AM and 1:26 PM?
337
What is 482 minutes before 6:44 AM?
10:42 PM
What is 472 minutes after 9:34 AM?
5:26 PM
How many minutes are there between 9:18 AM and 2:45 PM?
327
How many minutes are there between 8:52 PM and 12:55 AM?
243
How many minutes are there between 2:25 AM and 5:18 AM?
173
How many minutes are there between 12:25 PM and 6:02 PM?
337
What is 424 minutes after 5:43 AM?
12:47 PM
What is 302 minutes after 5:33 AM?
10:35 AM
How many minutes are there between 7:58 AM and 6:44 PM?
646
What is 292 minutes after 9:54 PM?
2:46 AM
What is 605 minutes after 6:38 AM?
4:43 PM
What is 491 minutes after 11:56 AM?
8:07 PM
What is 331 minutes after 11:25 PM?
4:56 AM
What is 605 minutes before 9:32 AM?
11:27 PM
How many minutes are there between 4:42 PM and 2:29 AM?
587
What is 524 minutes before 6:48 AM?
10:04 PM
How many minutes are there between 8:45 AM and 4:04 PM?
439
How many minutes are there between 10:58 PM and 3:12 AM?
254
What is 553 minutes after 7:42 AM?
4:55 PM
What is 388 minutes after 2:39 PM?
9:07 PM
What is 655 minutes after 9:24 AM?
8:19 PM
What is 394 minutes before 3:57 PM?
9:23 AM
How many minutes are there between 1:33 AM and 12:38 PM?
665
How many minutes are there between 4:33 AM and 2:32 PM?
599
How many minutes are there between 5:40 PM and 7:08 PM?
88
What is 564 minutes before 3:04 PM?
5:40 AM
What is 296 minutes before 8:43 AM?
3:47 AM
What is 115 minutes after 3:46 PM?
5:41 PM
How many minutes are there between 1:51 AM and 2:44 AM?
53
How many minutes are there between 7:19 PM and 7:58 PM?
39
What is 610 minutes after 11:19 AM?
9:29 PM
What is 310 minutes before 1:52 PM?
8:42 AM
What is 503 minutes before 6:11 PM?
9:48 AM
What is 191 minutes after 9:31 AM?
12:42 PM
How many minutes are there between 12:56 AM and 7:50 AM?
414
How many minutes are there between 4:47 PM and 9:11 PM?
264
What is 401 minutes before 11:10 PM?
4:29 PM
What is 63 minutes before 4:45 AM?
3:42 AM
How many minutes are there between 1:56 AM and 7:17 AM?
321
What is 56 minutes before 11:09 PM?
10:13 PM
How many minutes are there between 4:04 AM and 2:35 PM?
631
What is 539 minutes before 10:11 PM?
1:12 PM
What is 160 minutes before 5:56 PM?
3:16 PM
What is 204 minutes after 1:43 PM?
5:07 PM
What is 560 minutes after 8:57 AM?
6:17 PM
What is 173 minutes after 11:07 AM?
2:00 PM
What is 406 minutes before 2:48 PM?
8:02 AM
How many minutes are there between 2:07 PM and 8:45 PM?
398
How many minutes are there between 8:45 AM and 2:02 PM?
317
What is 546 minutes after 1:07 AM?
10:13 AM
What is 388 minutes before 1:17 AM?
6:49 PM
What is 253 minutes after 7:33 PM?
11:46 PM
What is 391 minutes before 4:42 AM?
10:11 PM
How many minutes are there between 3:46 AM and 9:06 AM?
320
How many minutes are there between 7:29 PM and 6:49 AM?
680
What is 448 minutes after 10:10 PM?
5:38 AM
What is 255 minutes after 11:05 PM?
3:20 AM
How many minutes are there between 8:29 PM and 3:11 AM?
402
What is 481 minutes after 9:43 PM?
5:44 AM
How many minutes are there between 11:36 PM and 1:31 AM?
115
What is 538 minutes after 7:42 AM?
4:40 PM
What is 547 minutes before 4:58 PM?
7:51 AM
What is 457 minutes after 10:02 PM?
5:39 AM
What is 705 minutes after 3:39 PM?
3:24 AM
What is 576 minutes after 6:19 AM?
3:55 PM
What is 4 minutes after 10:45 PM?
10:49 PM
How many minutes are there between 8:04 AM and 9:07 AM?
63
How many minutes are there between 7:19 PM and 11:29 PM?
250
How many minutes are there between 10:07 PM and 11:10 PM?
63
How many minutes are there between 11:47 PM and 10:31 AM?
644
What is 423 minutes after 3:44 PM?
10:47 PM
What is 176 minutes before 4:19 AM?
1:23 AM
What is 620 minutes before 6:14 PM?
7:54 AM
How many minutes are there between 8:18 PM and 6:41 AM?
623
How many minutes are there between 8:15 AM and 3:40 PM?
445
How many minutes are there between 4:32 AM and 12:15 PM?
463
How many minutes are there between 1:14 AM and 9:01 AM?
467
What is 707 minutes after 7:25 PM?
7:12 AM
How many minutes are there between 8:19 AM and 10:27 AM?
128
What is 291 minutes after 1:56 AM?
6:47 AM
What is 387 minutes after 6:49 AM?
1:16 PM
What is 39 minutes after 8:00 AM?
8:39 AM
What is 296 minutes after 12:41 PM?
5:37 PM
What is 2 minutes after 5:05 AM?
5:07 AM
What is 687 minutes before 6:15 AM?
6:48 PM
What is 446 minutes after 12:07 PM?
7:33 PM
What is 88 minutes before 7:48 PM?
6:20 PM
How many minutes are there between 6:41 PM and 7:17 PM?
36
How many minutes are there between 7:01 PM and 11:59 PM?
298
What is 564 minutes after 3:14 AM?
12:38 PM
How many minutes are there between 10:47 AM and 5:46 PM?
419
How many minutes are there between 12:10 PM and 8:02 PM?
472
How many minutes are there between 10:24 PM and 2:35 AM?
251
What is 36 minutes before 10:29 AM?
9:53 AM
How many minutes are there between 4:05 PM and 10:05 PM?
360
What is 160 minutes before 8:48 AM?
6:08 AM
What is 679 minutes before 11:28 AM?
12:09 AM
How many minutes are there between 1:21 AM and 4:52 AM?
211
How many minutes are there between 6:41 AM and 4:24 PM?
583
How many minutes are there between 5:37 AM and 4:23 PM?
646
How many minutes are there between 6:37 PM and 1:46 AM?
429
How many minutes are there between 6:15 AM and 4:14 PM?
599
How many minutes are there between 3:40 AM and 3:12 PM?
692
How many minutes are there between 3:06 PM and 3:20 PM?
14
How many minutes are there between 12:28 PM and 3:32 PM?
184
What is 634 minutes after 9:54 AM?
8:28 PM
What is 588 minutes after 3:18 AM?
1:06 PM
How many minutes are there between 11:46 AM and 1:03 PM?
77
How many minutes are there between 11:21 PM and 12:59 AM?
98
How many minutes are there between 7:08 PM and 5:25 AM?
617
What is 107 minutes before 5:31 PM?
3:44 PM
What is 525 minutes after 5:33 PM?
2:18 AM
How many minutes are there between 6:11 AM and 3:24 PM?
553
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
nteger?
3
What is the cube root of 186763 to the nearest integer?
57
What is the third root of 5885225 to the nearest integer?
181
What is 3990144 to the power of 1/9, to the nearest integer?
5
What is the third root of 100772 to the nearest integer?
47
What is 699799 to the power of 1/9, to the nearest integer?
4
What is 24585393 to the power of 1/4, to the nearest integer?
70
What is the square root of 637235 to the nearest integer?
798
What is the fifth root of 1235024 to the nearest integer?
17
What is the square root of 6725172 to the nearest integer?
2593
What is 39021 to the power of 1/2, to the nearest integer?
198
What is 5748236 to the power of 1/7, to the nearest integer?
9
What is the cube root of 1581177 to the nearest integer?
117
What is the third root of 1899965 to the nearest integer?
124
What is 6880883 to the power of 1/8, to the nearest integer?
7
What is the square root of 281676 to the nearest integer?
531
What is the square root of 20898397 to the nearest integer?
4571
What is the cube root of 561123 to the nearest integer?
82
What is 1650372 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 23422990 to the nearest integer?
8
What is 14527178 to the power of 1/7, to the nearest integer?
11
What is the third root of 248761 to the nearest integer?
63
What is 6122 to the power of 1/9, to the nearest integer?
3
What is 1971357 to the power of 1/2, to the nearest integer?
1404
What is the square root of 4586009 to the nearest integer?
2141
What is 164941 to the power of 1/10, to the nearest integer?
3
What is the sixth root of 11942955 to the nearest integer?
15
What is 3152857 to the power of 1/2, to the nearest integer?
1776
What is the fourth root of 290747 to the nearest integer?
23
What is 2944735 to the power of 1/9, to the nearest integer?
5
What is the seventh root of 9212390 to the nearest integer?
10
What is 8875660 to the power of 1/4, to the nearest integer?
55
What is the tenth root of 10412015 to the nearest integer?
5
What is 418899 to the power of 1/2, to the nearest integer?
647
What is 3212224 to the power of 1/8, to the nearest integer?
7
What is 217366 to the power of 1/10, to the nearest integer?
3
What is the fifth root of 23731140 to the nearest integer?
30
What is the fourth root of 3681941 to the nearest integer?
44
What is 854642 to the power of 1/2, to the nearest integer?
924
What is 2884156 to the power of 1/3, to the nearest integer?
142
What is 586220 to the power of 1/7, to the nearest integer?
7
What is the third root of 7486723 to the nearest integer?
196
What is the cube root of 61740 to the nearest integer?
40
What is the fifth root of 3676802 to the nearest integer?
21
What is the cube root of 2397155 to the nearest integer?
134
What is 169988 to the power of 1/2, to the nearest integer?
412
What is the cube root of 9554827 to the nearest integer?
212
What is 17769718 to the power of 1/10, to the nearest integer?
5
What is the third root of 180321 to the nearest integer?
56
What is the square root of 1044858 to the nearest integer?
1022
What is the square root of 27981631 to the nearest integer?
5290
What is 1266095 to the power of 1/4, to the nearest integer?
34
What is 7513592 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 19281 to the nearest integer?
5
What is the square root of 2771894 to the nearest integer?
1665
What is 108477 to the power of 1/7, to the nearest integer?
5
What is 300885 to the power of 1/5, to the nearest integer?
12
What is the ninth root of 710452 to the nearest integer?
4
What is 19420799 to the power of 1/8, to the nearest integer?
8
What is the cube root of 276535 to the nearest integer?
65
What is 2129045 to the power of 1/2, to the nearest integer?
1459
What is the square root of 15466 to the nearest integer?
124
What is 50107 to the power of 1/2, to the nearest integer?
224
What is 1654549 to the power of 1/3, to the nearest integer?
118
What is 4797561 to the power of 1/8, to the nearest integer?
7
What is the cube root of 358943 to the nearest integer?
71
What is the square root of 74125 to the nearest integer?
272
What is 3798308 to the power of 1/3, to the nearest integer?
156
What is 52619 to the power of 1/2, to the nearest integer?
229
What is 519680 to the power of 1/2, to the nearest integer?
721
What is 247741 to the power of 1/5, to the nearest integer?
12
What is 3778720 to the power of 1/3, to the nearest integer?
156
What is 1429882 to the power of 1/2, to the nearest integer?
1196
What is 40672 to the power of 1/3, to the nearest integer?
34
What is the ninth root of 1157995 to the nearest integer?
5
What is 3796336 to the power of 1/2, to the nearest integer?
1948
What is 10280625 to the power of 1/5, to the nearest integer?
25
What is 1705432 to the power of 1/5, to the nearest integer?
18
What is the cube root of 7951324 to the nearest integer?
200
What is the fifth root of 477082 to the nearest integer?
14
What is 1425450 to the power of 1/3, to the nearest integer?
113
What is 529997 to the power of 1/8, to the nearest integer?
5
What is the square root of 2161468 to the nearest integer?
1470
What is the third root of 65277 to the nearest integer?
40
What is the fourth root of 15232748 to the nearest integer?
62
What is 416692 to the power of 1/3, to the nearest integer?
75
What is the fourth root of 300534 to the nearest integer?
23
What is the square root of 174342 to the nearest integer?
418
What is the cube root of 2468280 to the nearest integer?
135
What is the cube root of 199569 to the nearest integer?
58
What is the square root of 955959 to the nearest integer?
978
What is the cube root of 371561 to the nearest integer?
72
What is 107191 to the power of 1/2, to the nearest integer?
327
What is 8587257 to the power of 1/2, to the nearest integer?
2930
What is the fifth root of 157005 to the nearest integer?
11
What is 13832 to the power of 1/3, to the nearest integer?
24
What is the tenth root of 86786 to the nearest integer?
3
What is the third root of 5358610 to the nearest integer?
175
What is the tenth root of 160323 to the nearest integer?
3
What is the fourth root of 85166 to the nearest integer?
17
What is 12013583 to the power of 1/2, to the nearest integer?
3466
What is 487076 to the power of 1/3, to the nearest integer?
79
What is the cube root of 141738 to the nearest integer?
52
What is 2380453 to the power of 1/10, to the nearest integer?
4
What is 212859 to the power of 1/5, to the nearest integer?
12
What is 7796719 to the power of 1/2, to the nearest integer?
2792
What is the tenth root of 5556070 to the nearest integer?
5
What is the third root of 129088 to the nearest integer?
51
What is 32092250 to the power of 1/3, to the nearest integer?
318
What is the cube root of 174897 to the nearest integer?
56
What is the eighth root of 3538774 to the nearest integer?
7
What is 3981679 to the power of 1/7, to the nearest integer?
9
What is the cube root of 24276885 to the nearest integer?
290
What is 174790 to the power of 1/8, to the nearest integer?
5
What is 810773 to the power of 1/8, to the nearest integer?
5
What is 4606471 to the power of 1/7, to the nearest integer?
9
What is the square root of 40698 to the nearest integer?
202
What is the square root of 8275711 to the nearest integer?
2877
What is 499762 to the power of 1/7, to the nearest integer?
7
What is the square root of 10320 to the nearest integer?
102
What is the ninth root of 1748355 to the nearest integer?
5
What is 271501 to the power of 1/2, to the nearest integer?
521
What is the eighth root of 388875 to the nearest integer?
5
What is 282366 to the power of 1/2, to the nearest integer?
531
What is 410160 to the power of 1/4, to the nearest integer?
25
What is 32740170 to the power of 1/2, to the nearest integer?
5722
What is 1279627 to the power of 1/6, to the nearest integer?
10
What is 596134 to the power of 1/6, to the nearest integer?
9
What is the third root of 102684 to the nearest integer?
47
What is 2807832 to the power of 1/3, to the nearest integer?
141
What is the cube root of 4196073 to the nearest integer?
161
What is the cube root of 8586728 to the nearest integer?
205
What is 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 4*i. Let r be o(-7). Calculate the greatest common divisor of 36 and r.
4
Let o(u) = -u**3 + 20*u**2 + 28*u - 48. Let l be o(21). Let q be 2/(-10) + (-92)/(-10). What is the greatest common divisor of l and q?
9
Let g = -10 - -19. Let n(s) = -17*s - 8. Let y be n(6). Let j = -47 - y. What is the greatest common divisor of j and g?
9
Suppose 0 = 3*t - 5*b - 985, b = -0 + 1. What is the greatest common factor of t and 30?
30
Let f = -20 + 24. Calculate the highest common factor of 48 and f.
4
Let a be (-50)/(-4) - ((-135)/(-6))/(-15). Let y = 42 - 14. Calculate the highest common divisor of y and a.
14
Suppose -r + 2*l = -30, -5*r = 4*l - 305 + 113. Calculate the greatest common divisor of 54 and r.
18
Let t be (12 + -1)*(-22)/(-2). Suppose -t = -2*j + 39. Suppose j = -4*f + 320. Calculate the highest common factor of 24 and f.
12
Suppose 0 = 2*p + 5 + 3, -5*q + 4*p + 296 = 0. Let c = 12 - 10. Let u be (6 - -1)/(2/c). Calculate the greatest common factor of q and u.
7
Suppose 0 = 3*q + 64 - 10. Let c = -13 - q. What is the greatest common factor of c and 2?
1
Let c(l) = -3*l**3. Let i be c(-1). Suppose 0 = i*a + 5*r - 22, 0*a - 4*r = -5*a + 49. What is the greatest common factor of a and 45?
9
Let y be (-6)/((-1)/2*-2). Let c be (y/(-9))/((-2)/(-45)). Calculate the highest common divisor of c and 15.
15
Suppose -5*m - 1 = -2*r, 7*r - 6*r = 3*m. Calculate the highest common factor of 4 and r.
1
Let n = -97 - -177. What is the highest common divisor of n and 10?
10
Suppose 0 = -2*j + 5 + 11. Suppose 0 = -8*u + 4*u + j. Suppose -304 = -3*r + 4*n, -83 - 21 = -r + u*n. What is the highest common divisor of r and 12?
12
Suppose 69 = 182*g - 179*g. What is the greatest common factor of g and 69?
23
Let q be ((-15)/(-9) + -2)*-9. Suppose 11 - 53 = -q*r. Suppose 4*p = -l + 447, 227 = 3*p - p - 3*l. What is the greatest common divisor of p and r?
14
Let z(t) = 5*t**3 + t**2 + 2*t - 3. Let d be z(2). What is the highest common divisor of d and 30?
15
Let k(l) = 14*l - 2. Let i = -17 + 12. Let n = 12 + i. Let t be k(n). Calculate the highest common factor of t and 12.
12
Let g be 4*((6 - 3) + 0). Let w = -26 + 62. What is the highest common factor of w and g?
12
Suppose -2*x + 100 = 2*x. What is the greatest common factor of x and 100?
25
Let o(d) = d**2 - 6*d - 12. Let l be o(9). Let w = l + -14. Calculate the highest common factor of 8 and w.
1
Let c be 10*25/20 + (-2)/4. What is the highest common factor of c and 60?
12
Let a = 44 + -35. What is the highest common factor of 12 and a?
3
Suppose i + 3*i - 280 = 0. Suppose 50 = x + 3*k, -x - k + 2*k + i = 0. Calculate the highest common divisor of x and 13.
13
Let k = -1 - 5. Let a(q) = q**2 - 2*q - 3. Let u be a(5). Let r = u + k. Calculate the highest common factor of r and 4.
2
Let f be (-2)/(-8) - (-790)/8. Suppose m + 12 = 5*m, 2*m = 5*l - f. What is the highest common divisor of 63 and l?
21
Suppose 3*n - 5*c = 60, n + 3*c + 16 = 2*n. Let b = 8 + -3. Calculate the greatest common factor of b and n.
5
Suppose 2*f = -5*i + 43, 12 = 3*f - 3*i - 0*i. Let k(p) = 7*p**3 + p**2 + p + 1. Let m be k(-1). Let d = m + f. What is the greatest common divisor of 3 and d?
3
Let y(n) = n**3 - 15*n**2 + n - 6. Let r be y(15). What is the greatest common divisor of r and 63?
9
Suppose -74 = -2*y - 4*v, v - 3*v + 10 = 0. Calculate the greatest common divisor of 189 and y.
27
Suppose -5*y = -2*q + 34, -2*y = -5*q + 107 + 20. Let d(s) = s**2 + 10*s - 15. Let r be d(-12). Calculate the greatest common divisor of q and r.
9
Let n(t) = -t - 1. Let b be n(-1). Suppose 2*z - 5*z - 5*a = -21, b = z - a + 1. Suppose -21 - 11 = -z*w. Calculate the greatest common factor of w and 80.
16
Let t be 4 + -2 + 2 + 1. Let o be (-9)/(-6)*(4 + -2). Let b = o + 2. What is the greatest common divisor of b and t?
5
Suppose 336 = 4*k + 3*k. What is the highest common factor of 240 and k?
48
Let l(j) = 16*j**2 - j - 6. Let r be l(-2). Calculate the highest common divisor of 36 and r.
12
Let y be (-1)/2 + 1324/8. Let u = 167 - 95. Suppose -10 = -4*q - r + 51, 0 = -5*q + 3*r + u. What is the greatest common factor of q and y?
15
Let w = 19 - 8. Suppose 3*c = -c - 8696. Let z be (-8)/(-44) - c/22. Calculate the greatest common divisor of w and z.
11
Let p be (-2)/(3/(1101/(-2))). Let k = -246 + p. Suppose 5*g = -4*z + k, 0*g + g + 91 = 4*z. What is the greatest common factor of 36 and z?
12
Let l be (63/27)/(2/96). What is the greatest common factor of l and 14?
14
Let g be 10 - (1 + 2/(-2)). What is the greatest common divisor of 2 and g?
2
Let n = -28 + 119. Suppose -5*l + 32 + 33 = 0. What is the highest common factor of n and l?
13
Let m(t) = t**2 + 7*t + 22. Let r be m(-17). What is the greatest common factor of 12 and r?
12
Let p(m) = -m**3 + 5*m**2 - m - 3. Let u be p(5). Let g = u + 11. What is the highest common factor of g and 9?
3
Let n = 299 + -134. Calculate the greatest common divisor of n and 15.
15
Let i = -65 - -103. Suppose 8 = 3*x - 10. Suppose -2*t + x*d = d - 34, -4*t + i = 5*d. Calculate the highest common divisor of t and 84.
12
Let o(i) = 28*i. Let v be o(1). Suppose 0 = m - 5 + v. Let c = -2 - m. Calculate the greatest common factor of 63 and c.
21
Let b = 17 - 0. What is the greatest common divisor of 17 and b?
17
Suppose 11*v + 252 = 15*v. Calculate the highest common factor of 9 and v.
9
Let b(k) = k**3 + 7*k**2 + 2*k + 2. Let j be b(-6). Let z be 26*((0 - -2) + -1). What is the highest common divisor of j and z?
26
Suppose 6*w - 2*w = 1212. Let p = 439 - w. What is the greatest common divisor of p and 17?
17
Suppose 18*a = 14*a + 112. Calculate the greatest common factor of 112 and a.
28
Let l = 386 + -270. What is the greatest common divisor of l and 29?
29
Let l(w) = w**2 - 3*w - 1. Let f(o) = -4*o**2 + 8*o + 4. Let g(z) = -2*f(z) - 7*l(z). Let b be g(-7). What is the highest common factor of b and 104?
13
Let w be 2 + (1 - 0 - -42). Suppose -3*x = 2*t - 2*x - 14, -4*t = 5*x - 40. Let f = w - t. What is the highest common divisor of 5 and f?
5
Suppose 4*w + 4*o - 13 + 1 = 0, 2*w - 5*o = -1. Let q(d) = 5*d**2 + d - 2. Let z be q(w). Calculate the greatest common factor of z and 60.
20
Suppose -2 = y, 4*h - 26 = -0*h - 3*y. Let p(a) = a + 9. Let u be p(-5). Calculate the highest common divisor of h and u.
4
Let y = 8 + -6. Suppose -y*x - 153 - 8 = -3*w, 0 = 2*w + 2*x - 124. Calculate the greatest common factor of 19 and w.
19
Suppose 3*u - 2*p = 168, 0 = -2*u + 4*p - 3*p + 111. Calculate the greatest common divisor of 27 and u.
27
Let y = 18 - 14. Suppose -y*o + 5*q - 2 = 0, -q - 2*q = -6. Suppose 0 = 2*g - a - 13, g + 3*a - 4*a = 9. What is the greatest common divisor of o and g?
2
Suppose 66 = -6*t + 7*t. What is the highest common divisor of 6 and t?
6
Let w(s) = s. Let g be w(3). Suppose -9 = g*t - 27. Suppose -3*v + 57 = -t. What is the greatest common divisor of 3 and v?
3
Suppose 3*a = -2*f - 10 - 1, 4*a = -3*f - 18. Let o = -7 - f. Suppose 2*g - 14 - 7 = -3*z, 0 = 2*g - o*z - 51. Calculate the highest common factor of 2 and g.
2
Let b(x) = -x + 6. Let c be b(0). Let m(y) = y + 9. Let q(p) = -p - 1. Let d(g) = m(g) + 2*q(g). Let w be d(-5). Calculate the highest common factor of w and c.
6
Let k = -8 + 17. Calculate the greatest common factor of k and 9.
9
Let d(l) = l**2 + 70. Suppose -3*h - 10 = -5*a, -3*h - a - 4*a + 10 = 0. Let u be d(h). Let g = 20 - 10. Calculate the greatest common factor of g and u.
10
Suppose h - 2*h = 2*y - 2, y - 4*h - 10 = 0. Suppose -7*a + s = -y*a - 88, 0 = 2*a - 2*s - 32. What is the highest common factor of 9 and a?
9
Suppose 3*n - 1 = 4*w, 2*n - 4 = 2. Suppose 5*u - 4 = -w*d + 2, 3*d - 3*u = 9. What is the greatest common factor of d and 3?
3
Suppose -3*i = 4*v - 64, -3*i + 7*i - 52 = 3*v. Calculate the greatest common factor of 16 and i.
16
Let d = 11 + -7. Suppose -2*y - 3*p + 7 = -y, -73 = -3*y + d*p. What is the greatest common divisor of 19 and y?
19
Suppose -1 = -c + 2*q - 0, 12 = 4*q. What is the greatest common factor of 49 and c?
7
Suppose 5*n - 43 = 27. Suppose -3*o = -0*y - y - 16, 0 = -3*o - y + n. Suppose 3*m + m - 40 = 0. What is the greatest common factor of m and o?
5
Let q = 21 + -16. Let a = 4 + q. Calculate the highest common factor of a and 36.
9
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
e power of 1/3, to the nearest integer?
59
What is the eighth root of 167129 to the nearest integer?
4
What is 2830144 to the power of 1/2, to the nearest integer?
1682
What is the cube root of 570211 to the nearest integer?
83
What is the third root of 122350 to the nearest integer?
50
What is the cube root of 960034 to the nearest integer?
99
What is 18122953 to the power of 1/4, to the nearest integer?
65
What is the fourth root of 21972885 to the nearest integer?
68
What is 2074726 to the power of 1/2, to the nearest integer?
1440
What is 871412 to the power of 1/3, to the nearest integer?
96
What is the third root of 19083863 to the nearest integer?
267
What is 113309 to the power of 1/6, to the nearest integer?
7
What is 3027870 to the power of 1/2, to the nearest integer?
1740
What is 12826523 to the power of 1/2, to the nearest integer?
3581
What is the fifth root of 174408 to the nearest integer?
11
What is 3481915 to the power of 1/4, to the nearest integer?
43
What is 88966 to the power of 1/10, to the nearest integer?
3
What is 10496957 to the power of 1/3, to the nearest integer?
219
What is the seventh root of 7842682 to the nearest integer?
10
What is 391945 to the power of 1/2, to the nearest integer?
626
What is 95179 to the power of 1/4, to the nearest integer?
18
What is the cube root of 3610269 to the nearest integer?
153
What is the third root of 95121 to the nearest integer?
46
What is 270129 to the power of 1/3, to the nearest integer?
65
What is 13127100 to the power of 1/5, to the nearest integer?
27
What is the fourth root of 4222928 to the nearest integer?
45
What is 26862428 to the power of 1/3, to the nearest integer?
299
What is 1790491 to the power of 1/9, to the nearest integer?
5
What is the third root of 17001441 to the nearest integer?
257
What is the ninth root of 354642 to the nearest integer?
4
What is the fifth root of 22388051 to the nearest integer?
30
What is the tenth root of 4576743 to the nearest integer?
5
What is the third root of 847858 to the nearest integer?
95
What is 18875833 to the power of 1/5, to the nearest integer?
29
What is the third root of 745638 to the nearest integer?
91
What is the square root of 332096 to the nearest integer?
576
What is the tenth root of 5581894 to the nearest integer?
5
What is the third root of 7139704 to the nearest integer?
193
What is the third root of 871661 to the nearest integer?
96
What is the third root of 3417628 to the nearest integer?
151
What is the cube root of 11068492 to the nearest integer?
223
What is the square root of 3274046 to the nearest integer?
1809
What is the third root of 21364015 to the nearest integer?
277
What is the eighth root of 32341718 to the nearest integer?
9
What is the third root of 587805 to the nearest integer?
84
What is 195346 to the power of 1/10, to the nearest integer?
3
What is the cube root of 1414673 to the nearest integer?
112
What is 781503 to the power of 1/9, to the nearest integer?
5
What is the cube root of 7196167 to the nearest integer?
193
What is 789691 to the power of 1/3, to the nearest integer?
92
What is 860338 to the power of 1/3, to the nearest integer?
95
What is 36122367 to the power of 1/9, to the nearest integer?
7
What is the cube root of 20927602 to the nearest integer?
276
What is 189813 to the power of 1/2, to the nearest integer?
436
What is 2807030 to the power of 1/2, to the nearest integer?
1675
What is 337731 to the power of 1/3, to the nearest integer?
70
What is the third root of 4325363 to the nearest integer?
163
What is 2528161 to the power of 1/8, to the nearest integer?
6
What is the square root of 72595 to the nearest integer?
269
What is 17286581 to the power of 1/3, to the nearest integer?
259
What is 12986065 to the power of 1/9, to the nearest integer?
6
What is the third root of 1522806 to the nearest integer?
115
What is the tenth root of 577 to the nearest integer?
2
What is 2651 to the power of 1/3, to the nearest integer?
14
What is the cube root of 887823 to the nearest integer?
96
What is 1003577 to the power of 1/9, to the nearest integer?
5
What is 16909512 to the power of 1/9, to the nearest integer?
6
What is 578959 to the power of 1/6, to the nearest integer?
9
What is 1906093 to the power of 1/2, to the nearest integer?
1381
What is the cube root of 6791250 to the nearest integer?
189
What is the square root of 442934 to the nearest integer?
666
What is the sixth root of 219205 to the nearest integer?
8
What is the cube root of 871727 to the nearest integer?
96
What is the third root of 217367 to the nearest integer?
60
What is the third root of 1477465 to the nearest integer?
114
What is the tenth root of 590863 to the nearest integer?
4
What is the square root of 5295365 to the nearest integer?
2301
What is the third root of 1490394 to the nearest integer?
114
What is 21303519 to the power of 1/2, to the nearest integer?
4616
What is the third root of 2312467 to the nearest integer?
132
What is 6620484 to the power of 1/2, to the nearest integer?
2573
What is the fifth root of 17484606 to the nearest integer?
28
What is the square root of 538886 to the nearest integer?
734
What is the square root of 15404165 to the nearest integer?
3925
What is 179622 to the power of 1/9, to the nearest integer?
4
What is 3514552 to the power of 1/5, to the nearest integer?
20
What is 107997 to the power of 1/2, to the nearest integer?
329
What is the third root of 683578 to the nearest integer?
88
What is the third root of 23143310 to the nearest integer?
285
What is the square root of 338322 to the nearest integer?
582
What is the cube root of 1878908 to the nearest integer?
123
What is the third root of 6638854 to the nearest integer?
188
What is the seventh root of 912224 to the nearest integer?
7
What is the sixth root of 2745797 to the nearest integer?
12
What is the cube root of 3220759 to the nearest integer?
148
What is the fifth root of 26725953 to the nearest integer?
31
What is the square root of 1060781 to the nearest integer?
1030
What is 2600695 to the power of 1/7, to the nearest integer?
8
What is the fifth root of 1392110 to the nearest integer?
17
What is the tenth root of 1298725 to the nearest integer?
4
What is 519136 to the power of 1/2, to the nearest integer?
721
What is the sixth root of 6842482 to the nearest integer?
14
What is the square root of 1325878 to the nearest integer?
1151
What is 471619 to the power of 1/7, to the nearest integer?
6
What is 4135622 to the power of 1/2, to the nearest integer?
2034
What is the fourth root of 3429873 to the nearest integer?
43
What is 584213 to the power of 1/2, to the nearest integer?
764
What is 1979975 to the power of 1/7, to the nearest integer?
8
What is 1513681 to the power of 1/5, to the nearest integer?
17
What is the ninth root of 37720 to the nearest integer?
3
What is 1355417 to the power of 1/6, to the nearest integer?
11
What is the third root of 636903 to the nearest integer?
86
What is the fifth root of 6202301 to the nearest integer?
23
What is the cube root of 3988621 to the nearest integer?
159
What is the seventh root of 205779 to the nearest integer?
6
What is the third root of 401735 to the nearest integer?
74
What is 519756 to the power of 1/3, to the nearest integer?
80
What is the seventh root of 19177422 to the nearest integer?
11
What is the square root of 18724 to the nearest integer?
137
What is 2233126 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 165406 to the nearest integer?
20
What is 1249487 to the power of 1/7, to the nearest integer?
7
What is 376875 to the power of 1/10, to the nearest integer?
4
What is 4258553 to the power of 1/9, to the nearest integer?
5
What is 5523518 to the power of 1/2, to the nearest integer?
2350
What is 298042 to the power of 1/3, to the nearest integer?
67
What is 32383481 to the power of 1/10, to the nearest integer?
6
What is the cube root of 5178137 to the nearest integer?
173
What is 1688117 to the power of 1/7, to the nearest integer?
8
What is 23769 to the power of 1/2, to the nearest integer?
154
What is 2014388 to the power of 1/2, to the nearest integer?
1419
What is the fourth root of 2025597 to t
|
{
"pile_set_name": "DM Mathematics"
}
|
/3)*z)*z**(1/6)/z*(z/(z*(z**(-1/3)*z)/z))/z*(z**(-4/5)/z**(1/6))/(((z*z*z*z**4*z)/z)/z*z**(2/13)/z) assuming z is positive.
z**(-1037/65)
Simplify ((f*f*f**(-1/2)*f)/((f/(f*f**5/f))/f)*(f**1/f)**6)/((f/(f/(f/(f*f/f**(2/7))*f*f)))**(-15))**(-9/11) assuming f is positive.
f**(-1275/154)
Simplify (((b*b*b**(4/15)*b*b*b*b)/b*b**(-1/21)/b)**(-1/23))**(-2/77) assuming b is positive.
b**(886/185955)
Simplify (j**(-1)*j**(1/7))**(1/3)*((j**(-1))**(-6/5))**(10/3) assuming j is positive.
j**(26/7)
Simplify ((c**(-2/3))**13/((c/(c/c**(-2/5))*c)/(c*c**(-4))))/((c**(-1/3)/c)**5*(c*c*c*c**(2/7))**38) assuming c is positive.
c**(-4566/35)
Simplify (w**(-2)/(w**(2/9)*w))**(-30/7)*((w**(-2/9))**(-1/28))**(-47) assuming w is positive.
w**(1693/126)
Simplify ((o**(-1)/o)/(o**(2/11)/o*o)*(o**(-1/4)*o*o)**(-48))**(-46) assuming o is positive.
o**(43608/11)
Simplify (w**(-29)*w**(-18)*(w**(2/21)*w)/(w/(w/(w*w**(-17)/w))))**40 assuming w is positive.
w**(-24280/21)
Simplify ((x**(-6)*x/(x/x**(-2/5)))/(x**(-6)/x**(-2/5)))/((x/x**2)/((x/x**(-3))/x))**10 assuming x is positive.
x**(196/5)
Simplify (y**(-12)/y**(1/5)*y*y**(3/20)*y*y*y**(-5)/y)**(-17) assuming y is positive.
y**(5117/20)
Simplify (((l*l/(l*l**(3/2))*l)/l*l*l**(-12)*l)/(l**(1/11)/l)**(2/5))**(-41) assuming l is positive.
l**(9143/22)
Simplify ((q/(q*q**(-4)/q))/(q*(((q**(-32)/q)/q)/q)/q*q))/(((q*q*q*q**4)/q)/q**(-9)) assuming q is positive.
q**24
Simplify ((((i*i**14)/i*(i*i*i**(-1/14))/i*i)**6)**(-22/7))**(2/63) assuming i is positive.
i**(-9812/1029)
Simplify q**1/q**(1/4)*q*q**(2/7)*q*q*q**(-3)*q*q*((q/q**6)/(q/(q*q*(q*q**6)/q*q*q)))**(-38/7) assuming q is positive.
q**(-523/28)
Simplify j**(-33)/(j*j**34)*(j*j*j**(-6/7)/j*j)**(-5) assuming j is positive.
j**(-516/7)
Simplify ((m/((m**(8/9)/m*m)/m))/m*m)**17/((m*m**(2/5)*m)/m**(-3/13)) assuming m is positive.
m**(9511/585)
Simplify (k*k**0)**(-1/19)/((k**(-4)*k)/k**(2/9))*(k*k**(-2)*(k*k**(-3)*k)/k)**(-3) assuming k is positive.
k**(2081/171)
Simplify (((t**1/(t/((t*t**(-3/10))/t)*t))/(t/t**(-3))**(-16/3))**(15/2))**(-9/10) assuming t is positive.
t**(-5409/40)
Simplify (((r**(-4/3)*r)/(r/(r**(-1)*r)))/(r**1)**8)/(r**(-9/4)*(r/((r/r**(-2)*r)/r*r))/r)**31 assuming r is positive.
r**(2213/12)
Simplify (((u/u**(-1))/u**(1/6))/(u*u**(-1))**(-11/3))/((u**(-1)*u*u/(u*u**(-2)/u))/(u**(2/9)/u*u**(-1/3))) assuming u is positive.
u**(-41/18)
Simplify (m**5/m)/m*m**(5/4)/m*(m/(m**(1/9)*m))/(m*m**(4/9)/m)*(m**(-2)/m**10)**17 assuming m is positive.
m**(-7247/36)
Simplify ((j/(j/((j**(3/5)/j)/j)))**3)**9*(j/(j/(j/(j/(j/((j*j*j**(-4)/j)/j)*j))*j*j*j))*j/(j/j**(-5)*j*j))**(1/2) assuming j is positive.
j**(-184/5)
Simplify ((j**(-11/6))**(-3)*(j/((j**2/j)/j)*j)/(j**(-3/11)*j))**(-10/11) assuming j is positive.
j**(-745/121)
Simplify ((k**(-3)/(k**(-1/4)*k))/(k*k**(-3)*k/((k**(-2/15)/k)/k*k)))/((k**(1/4)*k)**42*(((k*(k/k**(-1))/k)/k)/k*k)**20) assuming k is positive.
k**(-4583/60)
Simplify (t**(-6)/(t*t/(t/(t/((t*t**(2/15))/t)))*t))/(t*t**2/t*t*t/(t/(t/t**(2/7)*t)))*t**(-2/11)/t**(2/7)*t**(-2/3)*t**(-3/8) assuming t is positive.
t**(-19919/1320)
Simplify ((p**(2/7)*p)**(-43))**(16/5)*((((p*p**(-1/4))/p)/p)/p**(-2/19))**(-21) assuming p is positive.
p**(-406647/2660)
Simplify ((n**(-1))**(-9/8)/((n/n**(3/4))/n*n*n/((n*n*n**(-4)/n)/n)))/(n/n**(-2/21)*n**(-2)*n)**(-3/22) assuming n is positive.
n**(-2533/616)
Simplify (((i**2/i)/(i**(3/7)/i))/(i/(i/((i**(-4/3)/i)/i))*i**(-2/11)))/((i**(-3)/i*i*i/i**(-1/7))/(i**1/(i/(i/(i*i*i**7/i))))) assuming i is positive.
i**(-13/231)
Simplify (a/(a**(2/43)/a))**(-49)*((a/a**(-1))/a)/(a/a**37*a) assuming a is positive.
a**(-2568/43)
Simplify ((q/(((q*q**(-4/3)*q*q)/q)/q*q*q))**(-49)*((q/((q/(q/q**(-1)*q))/q))/q)**(2/41))**(-24) assuming q is positive.
q**(-32288/41)
Simplify ((z**(1/3)*z*z*z**(1/18)/z*(z**(2/5)*z)**(2/111))**(2/15))**(-3/4) assuming z is positive.
z**(-4709/33300)
Simplify (v/v**3)/((v*v*v**(-6)*v*v)/v*v)*v*v*v*v**(2/9)*v*v*v**(-4)*(v**1*v)/(v**(1/5)*v)*(v/(v*v*v**5)*v)/(((v*v**2)/v)/v) assuming v is positive.
v**(-179/45)
Simplify (t*(t/(t*t**(-2)/t*t))/t*t*t/(t*t**(5/2)*t*t*t)*t)**3*(t**(2/9)/((t/t**(-2/17))/t*t))**(-23) assuming t is positive.
t**(4925/306)
Simplify (((c**(-43)*c)/c)/c**(8/9))/(c**8/(c/(c*c*(c**45*c)/c*c))) assuming c is positive.
c**(-890/9)
Simplify (w**5*w*w)/(w/w**(-2/5))*w/(w/w**0)*(w/((w/(w/w**(4/7)))/w))/w*((w**(1/5))**(-10))**(-35) assuming w is positive.
w**(2661/35)
Simplify ((t**(-3/8)*t*t/(t/(t**(3/8)/t*t*t)))/(t**(-2/3))**1)/((t**1)**16/(t**(1/11)/t*t**(2/5))) assuming t is positive.
t**(-2284/165)
Simplify (j/(j/j**(2/95))*j)**(-1/9)*(j/(j/(((j/j**(-1/8))/j)/j)))**(-4/21) assuming j is positive.
j**(91/1710)
Simplify (((c*c**1)/(c**(1/2)/c))/(c*c/(c**1/c)*c)**(2/9))/((c/(c/c**(-2)))**19)**(2/133) assuming c is positive.
c**(101/42)
Simplify (w**(4/3)*w/(w/(w**0/w)*w)*w)**(-7)*(w**(-2)/(w**(1/2)*w))/(((w*w**(-2/15))/w)/(w**(-1/4)*w)) assuming w is positive.
w**(-99/20)
Simplify (((((g/(g*g**(-2/3)*g)*g)/g)/g)/(g*g*g**22))/((g/(g/g**(-28)*g)*g*g)/(g*g*g*g**(40/9))))**(-26) assuming g is positive.
g**(-2132/9)
Simplify ((z**(4/7)*z)/z*z*z/(z/(z**15*z*z)*z)*(z**(-2/19)*z)**(2/127))**(-1/24) assuming z is positive.
z**(-297037/405384)
Simplify g**(-7)*g**(-2/3)*((g*(g/(g**0/g)*g)/g)/g)**(-9)*g**(-2)*g/(g/(g**(-5/4)*g*g*g))*g*g/g**(1/2)*g**5/g assuming g is positive.
g**(-245/12)
Simplify ((t**(-1/4)/t)**(6/5))**6*((t/t**(-1/3))/t**(-6))**(3/20) assuming t is positive.
t**(-79/10)
Simplify (v**1)**(1/4)/(v**(-2)*v*v**(-2/7)*v)*(v**0)**49*(v*v**6/v)/((v*v*v*(v**(-7)/v*v*v)/v)/v) assuming v is positive.
v**(323/28)
Simplify k**4*k**6*((k/(k*k**(-4))*k*k)/k*k)/(k*k*k**4)*((k**(1/3))**(-1/88))**(4/5) assuming k is positive.
k**(3299/330)
Simplify (((f**(-1/12)/f)/((f/((f**(-13)*f)/f))/f))/((f/f**8)/(f*f**(-10/7))))**(-8) assuming f is positive.
f**(1262/21)
Simplify j**14/j*j/(((j**(19/3)*j*j)/j)/j)*(j*j**(-32))/j**(-43) assuming j is positive.
j**(59/3)
Simplify (((h/h**(-31))/h)/h*h*h*h*h**14)/(h**21/h**(1/64)) assuming h is positive.
h**(1665/64)
Simplify ((f/((f*f**5)/f*f)*f**12/f)/(f/f**(-2/9)*f**(2/17)))**4 assuming f is positive.
f**(2852/153)
Simplify (b*b/b**(-3/4)*b**(-20)*b**(-17)/b**(-25))**(-4/11) assuming b is positive.
b**(37/11)
Simplify (z**(-38)*z**(-1/2)*(z*z**3)/z**(2/5))**(-41) assuming z is positive.
z**(14309/10)
Simplify ((o**(-1/2)/(o**(4/17)/o*o))/((o*o*o*o/o**(2/13)*o*o)/((o*(o**(-4/7)/o)/o)/o*o)))**7 assuming o is positive.
o**(-25225/442)
Simplify (s*s**9*s)/(s**3*s*s)*(s**6/s)/(s**(5/7)/s)*((s/s**5*s)**(-24))**(-1/56) assuming s is positive.
s**10
Simplify ((u*u*(u*u*u**(-2/3)*u*u*u)/u)**18/(u**(1/4)/((u**2*u)/u)))/((u/(u*(u/(u*u**(-1/2)*u))/u))**(-32)/(u*u/u**(-1/3))**(-1/4)) assuming u is positive.
u**(871/6)
Simplify ((q*q**(2/3))**24/((q/q**2)/(q/q**(-6))))/(((q*q*q**(-1))/(q**(-3)/q))/(((q/(q/q**(1/2)))/q)/q**(-2/13))) assuming q is positive.
q**(1109/26)
Simplify ((g**(-5/7)/g)/((g**29*g*g)/g))/(((g/(g/(g**(-43)*g*g)))/g)/g*g*g**40) assuming g is positive.
g**(-208/7)
Simplify (y**(-1/4))**(2/39)*((y**(-1/6)*y)/y)/y**(-2/3)*(y*y**3*(y**4/y*y)/y*y)/((y/y**(-2/17))/y**0) assuming y is positive.
y**(4886/663)
Simplify (((y**(-2/9)/y)/(y*y*y**(-9/4))*(y*y*y**(1/2))/y**(-3))**36)**26 assuming y is positive.
y**4238
Simplify (((z*z**(-5/4)*z)/(z/((z/(((z**1*z)/z)/z*z))/z)*z))/(z*z**0*z/(z**(3/11)*z*z*z)))**(3/11) assuming z is positive.
z**(-129/484)
Simplify ((r*r**5*r)/r**(-10/7)*(r*r**(2/29))/(r**(3/5)*r*r*r*r))**(-33) assuming r is positive.
r**(-164043/1015)
Simplify ((x**(-3/5))**(-34)*x/(x*x*x**(-17)*x)*x**3/x)**23 assuming x is positive.
x**(4301/5)
Simplify ((x*x/(x**17/x))/(x/(x/x**(-1/2)))*x**23*x*x*x*x/(x/x**12)*x*x*x*x)**(2/155) assuming x is positive.
x**(57/155)
Simplify ((f**0/(f/f**(5/6)))/(f/f**5)**(2/3))**(-2/41) assuming f is positive.
f**(-5/41)
Simplify ((l/(l**6*l))/(l*l/l**0*l))/(l**0/l)**37*((l*l/l**(-5))/l**(1/4))**(-15/2) assuming l is positive.
l**(-181/8)
Simplify ((((b*(b/b**(4/7))/b*b)/(b*b/(b*b/(b*b**(-6/5)))))/((b/(b/(b/b**10)))/(b**(5/7)/b)))**(3/16))**(2/39) assuming b is positive.
b**(181/1820)
Simplify (j**(-3/7)*j)/j**(-1/5)*((j/j**5)/j)/j**(-1/5)*(j**1/(j/(j/j**(1/2))))/(j**(-3)*j**(-1/4)) assuming j is positive.
j**(-39/1
|
{
"pile_set_name": "DM Mathematics"
}
|
y ((p*p**(-2/7))/p*p)**5*((p*p**(1/3))/p)**40 assuming p is positive.
p**(355/21)
Simplify (t**(-3)/t)/t*t*t**(-2)*t**(1/3)*t*t*t**(-4) assuming t is positive.
t**(-23/3)
Simplify (n*(n*(n*(n/n**6)/n)/n)/n)**(-1/3) assuming n is positive.
n**(5/3)
Simplify (((h*h**(-2/15))/h)/h)/h*h**(-2/7) assuming h is positive.
h**(-254/105)
Simplify (y**(-4)/(y**(-2/9)*y))**16 assuming y is positive.
y**(-688/9)
Simplify h/h**(-14)*(h/(h**(-1)/h))/h assuming h is positive.
h**17
Simplify (q**(-2)/q*(((q/(q**(-3)/q))/q)/q)/q)**(7/10) assuming q is positive.
q**(-7/10)
Simplify ((m/(m*m/(m*m*m/m**(-1/5))))/(m**(2/5)/m))**(-8/17) assuming m is positive.
m**(-112/85)
Simplify p**(-2)*p**(-1)/p*p*p*p**(-5)*p*p/p**3 assuming p is positive.
p**(-8)
Simplify ((o/(o*o**1*o))/(o/(o**6/o)))**(-16) assuming o is positive.
o**(-32)
Simplify d**1*d**(-23) assuming d is positive.
d**(-22)
Simplify ((m**(-2/5)*m*m)**(-49))**(47/5) assuming m is positive.
m**(-18424/25)
Simplify (l/l**5)/l**1 assuming l is positive.
l**(-5)
Simplify s**(-4/5)*s/((s/(s*s**(3/10)))/s)*(s**(-2))**(-32) assuming s is positive.
s**(131/2)
Simplify (p/p**(1/8))/(((p/(p*p**12/p))/p)/p) assuming p is positive.
p**(111/8)
Simplify (i**(-3)*i/(i**(-1/5)*i))/(i**(-4/3)/(i*i**2)) assuming i is positive.
i**(23/15)
Simplify ((j**(1/11)*j)/j)**38 assuming j is positive.
j**(38/11)
Simplify (i/((i**(-2/13)*i)/i))**(-7) assuming i is positive.
i**(-105/13)
Simplify (t/(t/(t/(t*t*t/(((t**(-1)/t)/t)/t*t))))*t)/((t**(1/24)*t)/t) assuming t is positive.
t**(-97/24)
Simplify j**(2/15)*j**(-1/2)*j**(-4)*j**(1/6) assuming j is positive.
j**(-21/5)
Simplify (u*u*u**(1/3))**(-4)*u**(1/3)*u**(-1)/u assuming u is positive.
u**(-11)
Simplify w/(w*w*w**11*w)*w/w**(-1/7) assuming w is positive.
w**(-83/7)
Simplify (b/(b/b**(-4/5))*b*b**(-1))/(b**4/(b*b**(-1/7))) assuming b is positive.
b**(-138/35)
Simplify (o**(-9/5)*o**(-1/5))**(-2/15) assuming o is positive.
o**(4/15)
Simplify w/w**(-38)*w*w*w*w**(-13) assuming w is positive.
w**29
Simplify h**(2/9)/h*h**(-6)*h*h*h*(h**1)**(3/8) assuming h is positive.
h**(-245/72)
Simplify ((w/(w/w**(-4)))/((w**2*w*w)/w*w))**(-8/13) assuming w is positive.
w**(64/13)
Simplify (x*x**(-2)/x)/x**1 assuming x is positive.
x**(-3)
Simplify (y*(y*y**(3/2))/y)**(9/2) assuming y is positive.
y**(45/4)
Simplify s/(s**(-10/9)*s)*s*s*s/((s/s**1)/s) assuming s is positive.
s**(46/9)
Simplify p*p*p*p**0*p*p**10 assuming p is positive.
p**14
Simplify q**(1/13)/q*(q**(11/3)/q)/q assuming q is positive.
q**(29/39)
Simplify q**8*(q*q*q**(-4)/q)/q assuming q is positive.
q**4
Simplify y/(y*y/y**6)*y*y**7*y**(6/11)*y/(y/(y**(-1)*y)) assuming y is positive.
y**(149/11)
Simplify u**(-3)*u*u**(1/7)/u*u*(u**1)**(-4/13) assuming u is positive.
u**(-197/91)
Simplify (r*(r**(25/2)*r)/r)/(r/r**(-7/3)) assuming r is positive.
r**(61/6)
Simplify (v*v**(-3)*v**(2/19))**1 assuming v is positive.
v**(-36/19)
Simplify (u/u**(-6/7))/(u*u**(1/15)) assuming u is positive.
u**(83/105)
Simplify (w**11/w)/((w/(w/(w/w**(4/5))))/w) assuming w is positive.
w**(54/5)
Simplify (s**(1/9)/s)/s*s**(1/5) assuming s is positive.
s**(-76/45)
Simplify (a**(-3)*a)**(2/9)*(a/a**7)/(a*a*a**(-5)) assuming a is positive.
a**(-31/9)
Simplify ((x**(1/5)/x)/x)**(1/62)*(x*x**2)**(1/31) assuming x is positive.
x**(21/310)
Simplify (b**4/(b*b*b**(-2/7)*b))**(-1/5) assuming b is positive.
b**(-9/35)
Simplify (l**(-13)/l)/(l**17/l) assuming l is positive.
l**(-30)
Simplify (o/o**1)**(-29)/((o*o**5*o)/(o/(o**(3/7)*o))) assuming o is positive.
o**(-52/7)
Simplify v**(2/11)/(v*v*(v**6/v)/v*v*v)*(v**(-1)/v)**35 assuming v is positive.
v**(-856/11)
Simplify (f*f*f**(-11/2))/f*f*f**27 assuming f is positive.
f**(47/2)
Simplify (q/(q*q**(-1)))**(-6/17)*(q**(-2/7)/q)**(-2/45) assuming q is positive.
q**(-176/595)
Simplify ((s/(s*s/((s/(s**(-3/7)/s))/s)))/(s/s**(1/8)*s))/(s*s/s**5*(s/s**2)/s) assuming s is positive.
s**(199/56)
Simplify (f/(f*f/(f*(f*f/(f*f*f*f/f**16*f*f))/f))*f**15)**(9/4) assuming f is positive.
f**(117/2)
Simplify ((u**2*u)/u**(-1))/(u/(u**1/u)*u*u*u*(u**(1/5)/u*u)/u*u) assuming u is positive.
u**(-1/5)
Simplify t**(5/3)/(t/(t**(-1)*t*t)*t)*(t/t**(-1))**(-3/10) assuming t is positive.
t**(1/15)
Simplify (i**(-11/2)/i*i**8/i)**(-2) assuming i is positive.
1/i
Simplify (b/(b*b/b**(-1/12)*b)*(b**(2/19)*b)/b)**(-40) assuming b is positive.
b**(4510/57)
Simplify b**(-4)*b*b*b**(-1)*b**(-5)*(b**(-1/3)/b)/b assuming b is positive.
b**(-31/3)
Simplify (r**(-7/3)*r**7)**(-8/7) assuming r is positive.
r**(-16/3)
Simplify ((o*o*o/(o*o*o*o**8))/o**(5/4))**20 assuming o is positive.
o**(-185)
Simplify f/f**(-31)*f/f**7 assuming f is positive.
f**26
Simplify (l**(3/2)*l*l/(l*l*l**(1/9)))/((l**(5/2)/l)/l**(2/7)) assuming l is positive.
l**(11/63)
Simplify v**(7/4)*v*v/(v**(-7/8)*v*v*v) assuming v is positive.
v**(13/8)
Simplify ((a**4*a)/(a*a**(5/3)*a))**44 assuming a is positive.
a**(176/3)
Simplify z/(z/z**2*z)*z**7/z assuming z is positive.
z**7
Simplify (v**(-1)*v)**(-1/22)/((v**(-6/5)/v)/v**(5/7)) assuming v is positive.
v**(102/35)
Simplify b**4/(b/b**(1/6)*b)*(b**(-1/4))**9 assuming b is positive.
b**(-1/12)
Simplify ((m**(-1)*m)**(-50))**4 assuming m is positive.
1
Simplify (w**(-3)/w**2)/(w**4*w**2) assuming w is positive.
w**(-11)
Simplify ((r*r/(r/((((r*r**1)/r*r)/r)/r)))/r)**(-2/75) assuming r is positive.
1
Simplify (n**(2/3))**(-21)*(n**(1/3)*n)**(-1/16) assuming n is positive.
n**(-169/12)
Simplify (s/(s*s**(-17)*s*s))/(s/s**(2/23)) assuming s is positive.
s**(324/23)
Simplify ((o/(o**(-1)*o*o))/o)**(-20)/(((o**(-3/7)/o)/o)/o*(o*o*(((o*o*o*o**8/o)/o)/o)/o*o*o)/o) assuming o is positive.
o**(94/7)
Simplify (g/g**(-1/14))**(-4/15) assuming g is positive.
g**(-2/7)
Simplify p**(1/4)*p*p**(-2/7)*(p**(2/7))**36 assuming p is positive.
p**(45/4)
Simplify (v**(1/2)*(v/(v/v**(-8)*v))/v)/((v/((v**(-6)/v*v*v)/v))/(v/(v/(v**5*v)))) assuming v is positive.
v**(-21/2)
Simplify (a**(-10)*a)/a**(2/51) assuming a is positive.
a**(-461/51)
Simplify ((y*y**(-3))**42)**23 assuming y is positive.
y**(-1932)
Simplify (n/(n*n**(-2/3)))**(-19/3)/(n**1)**(1/70) assuming n is positive.
n**(-2669/630)
Simplify (l**(-3)*l**(2/11))/(l**(1/2)*l**(-3/4)/l) assuming l is positive.
l**(-69/44)
Simplify p**22/p**(-1/18) assuming p is positive.
p**(397/18)
Simplify ((y*y**1/y)**(1/2))**(-3/20) assuming y is positive.
y**(-3/40)
Simplify u**(-2)/u**1*(u**4*u*u)/(u**(-2/5)*u) assuming u is positive.
u**(12/5)
Simplify ((y**(-1)/y)/y**(1/5))**(-2/181) assuming y is positive.
y**(22/905)
Simplify (h**(-3/4)*(h**7/h)/h)/(h**(-6)/(h**0/h)) assuming h is positive.
h**(37/4)
Simplify l**(-4)/((l*l*l**6*l)/l)*(l**(-1))**(-44) assuming l is positive.
l**32
Simplify ((((y*y**(-2))/y)/y)/y*y*(y*y**(2/15))/y)/(((y*y**(-2/5)*y)/y)/y**(-4)) assuming y is positive.
y**(-112/15)
Simplify (y*y*y*y*y/(y/y**(1/8)))**(-10/7) assuming y is positive.
y**(-165/28)
Simplify (v*v*v/(v**(-4/3)/v)*v*v**2)**44 assuming v is positive.
v**(1100/3)
Simplify (c**6/c**(6/7))**48 assuming c is positive.
c**(1728/7)
Simplify ((j*j*j*j*j**0*j)**(-1/6))**(-2/61) assuming j is positive.
j**(5/183)
Simplify (r**7*r**(2/5))**50 assuming r is positive.
r**370
Simplify (m/(m*(m**(2/45)*m)/m)*m)/m**(-1/5) assuming m is positive.
m**(52/45)
Simplify (v/(v*v**(-3)*v*v*v))**(-24) assuming v is positive.
1
Simplify (b**(-1/26)*b)/(b/(b*b/(b*b/b**(7/6)*b))*b) assuming b is positive.
b**(-34/39)
Simplify (t**(-2/5)/t*t)**(-29)/(t/(t**(-2/7)/t)*t)**(-10/3) assuming t is positive.
t**(2368/105)
Simplify ((n/n**(-2))**4)**(-3/7) assuming n is positive.
n**(-36/7)
Simplify ((x**(2/5))**(-9))**30 assuming x is positive.
x**(-108)
Simplify (j*j**(1/6))**35 assuming j is positive.
j**(245/6)
Simplify (w**(-1/3))**41/(w**0)**(-9) assuming w is positive.
w**(-41/3)
Simplify k**0/k*k*k**29 assuming k is positive.
k**29
Simplify (c**(1/4)*c*c**(-3/7))/(c**(-2)/c**(1/3)) assuming c is positive.
c**(265/84)
Simplify ((q*q**(-3/2))/((q/((q/(q*q*q/q**(2/17)*q))/q*q))/q))/(q**(-6)/(q**(1/3)/q)) assuming q is positive.
q**(199/102)
Simplify (c/((((c/(c*c/(c**(-5)/c)))/c)/c)/c))/(c/(c/c**(-1/5))*c)*(c*c/c**(-3/5))**(-1/40) assuming c is positive.
c**(2027/200)
Simplify ((o/(o/o**2*o))/o)**19/((o*o*o**(-2/13)*o)/o**(-4)) assuming
|
{
"pile_set_name": "DM Mathematics"
}
|
13). What is v rounded to the nearest 10000?
-60000
Suppose -86 - 114 = -3*f + 2*h, 2*f - 5*h - 115 = 0. Round f to the nearest one hundred.
100
Let b = -177.00109 - -177. Round b to four dps.
-0.0011
Suppose -5*z + 0*z = 2*w - 7849992, 5*w = -2*z + 3139980. Round z to the nearest 100000.
1600000
Suppose -3*o + 12 = 0, -2*q + 0*o + 3*o + 78 = 0. Suppose -3*i + 285 + q = -3*u, 5*i = 25. What is u rounded to the nearest 10?
-110
Suppose 0 = -4*h - 2*v + 45279998, -3*h + 56599996 = 2*h + 4*v. What is h rounded to the nearest one million?
11000000
Suppose -s = 2*a - 7, -s = -3*a - 2*s + 11. Suppose a*p = -9976 - 230024. Round p to the nearest 100000.
-100000
Let o(u) be the second derivative of 57929*u**4/12 - 5*u**3/6 - 3*u**2 - 2*u. Let a be o(-4). Let z = 4626878 - a. What is z rounded to the nearest 1000000?
4000000
Let t = 2.381 - -69.139. Let a = 70 - t. What is a rounded to 1 decimal place?
-1.5
Let s = -18368 + 18360.9992. Let y = s - -7. What is y rounded to 3 dps?
-0.001
Let j = 44 - 44.00000302. What is j rounded to seven dps?
-0.000003
Let k = 2.7104 - 2.7. What is k rounded to three dps?
0.01
Let u = -66.98 - -67. What is u rounded to 2 decimal places?
0.02
Let g = 5 + -5.000083. What is g rounded to 5 decimal places?
-0.00008
Let i = -5 - 0. Let c = 3 + i. Let j = c - -2.04. What is j rounded to 2 decimal places?
0.04
Let i = 5.613 + -0.013. Let l = -39.6 + i. Let r = l + 33.99882. What is r rounded to 4 dps?
-0.0012
Let w(j) = 1500000*j**2 - j - 1. Let i be (-1)/(2/(2/1)). Let u be w(i). Round u to the nearest one million.
2000000
Let l = 770798.60017 + -770795. Let u = -3.14 - 0.46. Let s = u + l. What is s rounded to four decimal places?
0.0002
Let u = 0.8 - 0.2. Let t = -0.8 + u. Let i = 0.19999928 + t. Round i to seven dps.
-0.0000007
Let x = -80504231.30000022 + 80504229. Let v = 4.3 + -2. Let c = v + x. What is c rounded to 7 dps?
-0.0000002
Let v = 0.3 + -0.300052. Let j = 0 - v. What is j rounded to 5 dps?
0.00005
Let s = -432.357 + 29.57. Let a = s + 403. What is a rounded to two decimal places?
0.21
Let z = -7.475 - 21.566. Let t = -29 - z. What is t rounded to 2 dps?
0.04
Suppose 0*d = -d + 7. Let w(u) = -76956*u**3 - 4*u**2 - 9*u - 1. Let k be w(d). Let g = 15196168 + k. Round g to the nearest 1000000.
-11000000
Let l(h) = 447*h**3 - 9*h**2 + 11*h + 18. Let i be l(-18). What is i rounded to the nearest 100000?
-2600000
Let t = -0.09944 + 0.1. Round t to four decimal places.
0.0006
Suppose 5*q = 5*f - 4370, -3*f - 4*q = -0*f - 2594. Round f to the nearest one hundred.
900
Let k = -0.66 - -3.56. Let r = 2 - k. Let n = -0.89999988 - r. Round n to 7 dps.
0.0000001
Let l = 6.0999949 - 6.1. Round l to 6 dps.
-0.000005
Let a = -1.25 + 1.3. Let t = a + -0.049985. Round t to five decimal places.
0.00002
Let h be (12 - -1988)/(1/3750). What is h rounded to the nearest one million?
8000000
Let m be ((-458)/3 + 0)*-393. Let y = 4 - 5. Let o be 4/2 - m*y. What is o rounded to the nearest 100000?
100000
Let c = -5.3 - -1.6. Let o = c - -4.756. Let a = 1.1 - o. What is a rounded to 2 decimal places?
0.04
Let v = 0.280032 + -0.28. Round v to 5 dps.
0.00003
Let z = 328510.44021 - 2.44021. Let o = 328507.099965 - z. Let q = o - -0.9. What is q rounded to five dps?
-0.00004
Suppose 2*o - 4*u - 1195200 = 0, -3*o + 1792800 = -0*o + 2*u. Let k be (-30)/(-4)*o/27. What is k rounded to the nearest 10000?
170000
Let o = 286 - 285.881. What is o rounded to two decimal places?
0.12
Let x = 21 - 39. Let c = -26 - x. Let p = c - -8.00056. What is p rounded to 4 decimal places?
0.0006
Let c = 105.6 + -115.43. Let a = 7.7 + 2.8. Let w = a + c. Round w to one decimal place.
0.7
Let w = 388643 - 127643. Let f = 23 - 23. Suppose -3*j - w = -f*j. What is j rounded to the nearest 10000?
-90000
Suppose -3*u + 10 + 19 = 4*o, -16 = 3*u - 5*o. Suppose -4*f + 3*d + 24391 = 0, -2*f - 4*d + u*d + 12203 = 0. Round f to the nearest one thousand.
6000
Let d = -11 + 10.9896. What is d rounded to 3 dps?
-0.01
Let w = 104 + 150. Let k = -618 + w. Let p = 254 + k. Round p to the nearest one hundred.
-100
Let a = -37.78190959 - 0.21807341. Let v = a - -38. What is v rounded to five dps?
0.00002
Let d(o) = 3*o - 2. Let y be d(2). Let a be (-54)/(-15) + y/10. Suppose 0 = -a*f - 44 - 12. Round f to the nearest ten.
-10
Let f = -9 - 10. Let t = f + 19.00054. What is t rounded to 4 decimal places?
0.0005
Let c = 4.49 - 4.137. What is c rounded to two dps?
0.35
Let r = -0.09 + 0.13. Let j = -0.005 + r. Round j to 2 decimal places.
0.04
Let j be (-3 + 1)/((-8)/28). Let a(i) = 50437*i**3 + i**2 + 10*i - 10. Let y be a(j). Round y to the nearest 1000000.
17000000
Let g = 893 + 410. Suppose 2*k - k + g = -3*a, 4*a = -2*k - 1740. Let y = a + 63. What is y rounded to the nearest 100?
-400
Let s = -2.70000124 - -2.7. Round s to seven dps.
-0.0000012
Let b = 63053361762 + -63053384197.3448859. Let f = b - -22413.8449. Let m = f + 21.5. Round m to 6 dps.
0.000014
Let i = 18 + -13. Suppose 0 = i*p - 10*p + 2*m + 26, -27 = -3*p + 5*m. Suppose k = -p*k - 60500000. What is k rounded to the nearest one million?
-12000000
Let g = 8.2 + -8.1999828. Round g to six decimal places.
0.000017
Let a = -5 - -18. Let z = 12.999896 - a. Round z to five dps.
-0.0001
Let h = -1901101 + 1926128.53. Let k = -25005.52963 + h. Let g = k + -22. What is g rounded to 4 decimal places?
0.0004
Suppose 0*h + h - 2*w = -58, 5*h = -5*w - 305. What is h rounded to the nearest one hundred?
-100
Suppose -3952 = -4*s - 0*s - 2*f, 2*f = 0. Let w = s - -152. Round w to the nearest one hundred.
1100
Let j = -702.314 + 690.3. Let p = -9.4 + -2.6. Let h = j - p. Round h to 2 decimal places.
-0.01
Let c = 1.21 - -33.45. Let f = -35.0334 + c. Let m = -0.37 - f. What is m rounded to three dps?
0.003
Let u(q) = q - 5*q + 5*q - 6. Let r be u(10). Suppose 5*c = r*d + 160025, -d - 80015 = d - 3*c. Round d to the nearest 10000.
-40000
Let v be (240001 - 1)*10/6. What is v rounded to the nearest one hundred thousand?
400000
Let p(o) = -219*o**3 - o**2 + o - 1. Suppose 5 = -4*a + 3*t, t - 8 = a - 2*t. Let m be p(a). What is m rounded to the nearest one hundred?
-200
Let n = -0.05 + -0.55. Round n to one dp.
-0.6
Let v = 4 - 3.976. Let g = v - -0.606. Round g to 1 dp.
0.6
Let z = -1 + -5. Let p(n) = 104*n + 14. Let m be p(z). What is m rounded to the nearest 100?
-600
Let b = 20 - 5. Round b to zero dps.
15
Let o = 0.99999816 - 1. Round o to 7 decimal places.
-0.0000018
Let p(o) = 2607*o**3 - 5*o**2 - 11*o + 1. Let y be p(9). Round y to the nearest one million.
2000000
Let n = -16 - -16.094. Round n to 2 decimal places.
0.09
Let l = 5 - 10. Let h = l - -5.00024. Round h to four dps.
0.0002
Let t(h) be the second derivative of 98*h**3/3 + h. Let x be t(-2). Let v be 150/7*x/(-1). What is v rounded to the nearest one thousand?
8000
Let u = 99 - 93.8. Round u to the nearest integer.
5
Let z(y) = -91*y**2 + 22*y + 5. Let s be z(-15). Round s to the nearest 1000.
-21000
Let v(m) = 3*m**2 + 11*m - 6. Let u be v(4). What is u rounded to the nearest ten?
90
Let w = 56 + -56.039. Round w to 2 dps.
-0.04
Let u = -1.12 - -59.52. Let t = u - 51. What is t rounded to the nearest integer?
7
Let n(t) = -18*t**3 - 2*t**2 - t + 1. Let f be n(-2). Suppose 4*k - 394 = i - f, -4*k = i + 271. Round i to the nearest 10.
-260
Let c = -2 - -1.9967. Round c to 3 decimal places.
-0.003
Let s = -444.586 - -441. Let x = s - -1.979. Let f = x - 0.013. Round f to 1 decimal place.
-1.6
Suppose 4*u - 11 = 5. Suppose 0 = h - 4*j - 5399980, u*h + 3*j + 0*j - 21600015 = 0. What is h rounded to the nearest one million?
5000000
Let y = -0.03 - -0.02977. What is y rounded to four dps?
-0.0002
Suppose -q + 5*c - 113 = 0, 211 + 64 = -3*q - c. Round q to the nearest 10.
-90
Let h = 4 - 3. Let z = 5.502 - 4.5136. Let q = z - h. Round q to 3 decimal places.
-0.012
Let t(r) = -r**2 + 3. Let x be t(-3). Let j(s) = -s**3 - 4*s**2 - 2*s - 6. Let l be j(x). What is l rounded to the nearest ten?
80
Let k = 3963 - 3991.71. Let a = -53 + 82. Let c = k + a. Round c to 1 dp.
0.3
Let x = 11 - 10.9999932. What is x rounded to 6 dps?
0.000007
Let s be 1*3*(-6)/9. Let c be s/(-4) - (-76000005)/(-10). Round c to the nearest 1000000.
-8000000
Let c = -9 - 11. Let p = -2 + 20.7. Let m = c
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-26)/k*2. Solve -5*p + 2 = -y for p.
3
Let b = 20 - 14. Let p be 2/4 + (-30)/(-12). Let l = 3 - 3. Solve b = -p*m - l*m for m.
-2
Let r = 32 + -30. Solve 20 = r*q + 2*q for q.
5
Let x = 178 + -173. Solve -5*s = -20 + x for s.
3
Suppose -3*r = -0*r - 3, 2*r = o - 2. Solve g - 6 = -o for g.
2
Let p be 1/(1*(-2)/(-4)). Solve t = -p*t for t.
0
Suppose 4*t + 3 = 27. Solve 12 = 2*i - t*i for i.
-3
Let o(h) = -h**2 + 7*h - 3. Let j be o(6). Solve j*f - f + 10 = 0 for f.
-5
Suppose -5*l - 4 = -4*v - 4*l, -2 = -2*v + 2*l. Solve -3 = 2*u - v for u.
-1
Suppose 0 = 6*m - 4*m. Solve 0*p - p = m for p.
0
Let u = 302 - 296. Let w be (-1)/((1 - -1)/(-2)). Solve -5*b = -u*b - w for b.
-1
Suppose -3*v = v - 3*x + 1, -2*v - 3*x = -13. Solve -2*l = v*l - 12 for l.
3
Suppose 3*h + 0*h - 15 = 0. Suppose -h*g + 7 = -3. Suppose 0 = 3*n - 8*n + 4*t + 19, 2*n = -2*t + 4. Solve -g*r = -1 + n for r.
-1
Suppose -6*d = -4*d - 18. Solve -7*m + d = -10*m for m.
-3
Suppose s + 0*s = 4*m - 18, s + 5*m = 27. Solve l - s = 3*l for l.
-1
Suppose -2*h = -4*z + z, 4 = -2*z. Let a = h + 1. Let u be a/(6/(-27)) - 3. Solve 0 = -0*g + 3*g + u for g.
-2
Let k = 17 + -4. Solve -4*j + k = 33 for j.
-5
Let f(y) = y**3 + 4*y**2 - 5. Let x be f(-2). Solve x - 1 = -b for b.
-2
Let c be 4/(-14) - (-216)/21. Suppose 8 = -j - 3*i, 4*j - 5 - 27 = 4*i. Let d = c - j. Solve d*k + 6 = 3*k for k.
-2
Suppose -2*k + 5 = 1. Let d be k/(0 + -2) - -3. Let h be (2/3)/(4/18). Solve 1 = d*x + h for x.
-1
Let w(g) = -g**2 + 9*g - 6. Let c be w(8). Solve c*y - 3 = 5 for y.
4
Suppose 0 = 9*t - 12*t + 12. Solve -3*p - t = -1 for p.
-1
Let w be (6/10 + 0)*5. Solve 15 = -4*l + w for l.
-3
Suppose -d - 2*t = -4, -d - t = -5*d + 25. Solve -5*f - 9 = d for f.
-3
Let k = -10 - -16. Suppose l - 12 - k = 4*n, 4*n = -16. Solve l*z + 0*z = 4 for z.
2
Suppose 0 = 5*d - 125 - 15. Suppose 5*m - v = d - 7, 4*m - 2*v = 18. Let q be (-12)/9*(-6)/m. Solve -q = -3*c + 13 for c.
5
Let p = 9 + 2. Solve -5*n - 9 = p for n.
-4
Suppose 4*v - r = -12, -3*r - 4 - 28 = 5*v. Let u(a) = 3*a**3 + 5*a**2 + a. Let l be u(-2). Let x = v - l. Solve -m + 4 = x for m.
2
Let t be 1 - (-2 - 0 - 1). Suppose 0*r - t*n + 64 = r, 3*n + 297 = 5*r. Suppose 2*o + 6 = 4*j - r, 5*j - 4*o - 90 = 0. Solve 3*z - 2 + j = 0 for z.
-4
Let u(a) = a - 6. Let b be u(13). Suppose -b = 2*i - 3*i. Let o = -2 + i. Solve o = -0*l + 5*l for l.
1
Let j(a) = -a**3 - 14*a**2 + 3. Let h be j(-14). Solve 17 - 5 = -h*o for o.
-4
Suppose 0*u = -5*u + 40. Solve 0 = -5*r - 33 + u for r.
-5
Suppose m + 3*t = -0*t + 16, 2*m - 5*t = -23. Let p(d) = 4*d**3 - d**2 + d - 1. Let s be p(1). Let z be 0/(-5) + (1 - -6). Solve s*i = -m + z for i.
2
Let o be (-12 - -13)/((-1)/(-5)). Solve -o*a = -4 - 6 for a.
2
Suppose -7*g + 2*g - 5*u + 95 = 0, 4*g - 79 = -5*u. Suppose -3*a - 9 = 21. Let f = g + a. Solve 0 = -f*t + t + 10 for t.
2
Let s(l) = l**3 + 10*l**2 + 9*l + 2. Let r be s(-9). Solve r*j + 6 = -0*j for j.
-3
Suppose -6*q + 4*q = -10. Suppose -3*i = -4*i + q. Let b = i + -2. Solve -b*z = 3 + 12 for z.
-5
Let v(q) = -9*q**2 + 7*q + 5. Let h(z) = 5*z**2 - 4*z - 3. Let o(a) = -7*h(a) - 4*v(a). Let d be o(1). Let l be 9 + (-1)/(d/(-2)). Solve -6*y + l = -y for y.
2
Let t = 10 + -8. Solve -1 = -k - t for k.
-1
Let b = 40 - 24. Suppose -3*u = 13 - b. Solve -9 = 2*q - u for q.
-4
Let g = 1 - 4. Let c = g + 4. Let s = c + -1. Solve 3*y + s*y = -3 for y.
-1
Let w(s) = 2*s + 9. Let a be w(11). Suppose -3*i + k = 2*k - a, -10 = 2*k. Solve -3*n + 6*n = -i for n.
-4
Let w(k) = k**3 + 2*k**2 - k. Let h(b) = b**2 - 4*b - 7. Let o be h(5). Let y be w(o). Solve 15 = m + y*m for m.
5
Let x be ((-154)/42 - -1*3)*-3. Solve 0 = v + x + 2 for v.
-4
Let n(a) = -2*a - 2. Let w be n(-4). Solve 20 = w*p - p for p.
4
Suppose -2 = -3*t - z - 0, -5*t - z = -6. Solve -3*u = t*u - 15 for u.
3
Let w be -3 + (3 - (-2 + 2)). Suppose w = 5*h - 32 - 3. Solve -h = -4*i - 3 for i.
1
Suppose -v + 10 = 3*y, -7*y = -3*y + 5*v - 28. Let o be 1/y*-2 + 8. Suppose 8 = 5*s - o. Solve -6 = s*p + 6 for p.
-4
Let t be (-1 - 0/6)/(2/(-8)). Solve -t*i = i + 25 for i.
-5
Let v = -11 + 9. Let a be 2 - (-1)/((-1)/v). Solve a = 3*g - g for g.
2
Suppose 0 = i + 3 - 7. Suppose 0 = 4*n + 3*f - 18, 0*f - 14 = -n + i*f. Solve -2*j + 2 = -n for j.
4
Suppose 3*j = 13 + 8. Let u(s) = 3 + 3*s**2 - 4*s**2 + 3*s**2 + j*s - s**2. Let h be u(-7). Solve -4*k = -23 + h for k.
5
Let f = -410 - -412. Let c(u) = -u**2 - 6*u + 9. Let l be c(-7). Suppose -4 = p - l*p. Solve -p*h - f = 2 for h.
-1
Let h(l) = -14*l**3 + 2*l**2 - 1. Let z be h(-1). Solve z = -5*j - 0*j for j.
-3
Let b(k) = k**3 + 9*k**2 - 10*k + 7. Let h be b(-10). Solve 4*o - h + 27 = 0 for o.
-5
Let n be (-11)/3 + (-68)/51. Let v(x) = x**3 + 5*x**2 - 5*x. Let y be v(n). Solve -2*t = 3*t + y for t.
-5
Let c be 0/(2*6/(-4)). Suppose -5*x + c = -5. Solve -3 = b - x for b.
-2
Suppose -9 = -q - 3*h, h + 1 = -q - 0. Let d be (-2)/4 - 9/q. Let f be 2 - (2 + (d - 4)). Solve -f*a - 4 = a for a.
-1
Let b(f) = 4*f**3. Let h be b(1). Let m be 4*2 - h/2. Solve a = -a - m for a.
-3
Suppose -g = 6*g - 56. Solve -g = 5*p + 7 for p.
-3
Let u(m) = -m - 4. Let n be u(-8). Solve 0 = -n*w + 1 + 19 for w.
5
Suppose 4*s = 4*w - 20, 6*w - s - 41 = w. Suppose 0 = v - w - 8. Solve v = 5*t - 3 for t.
4
Let l(m) = -5*m + 4. Let k be l(-3). Let w = k + -10. Suppose w + 3 = 4*q. Solve q*d = 6*d for d.
0
Suppose -3*y + 9 = -4*f, 2*y = -2*y + 12. Let o be (-16)/24 - 34/(-6). Solve o*a + f = 5 for a.
1
Suppose 4*m = -5*y - 10, m + 0*m + y = -2. Solve 3*u + 12 = -m*u for u.
-4
Let r be (0 + 4)*(-21)/28. Let o be 0/r*(-1)/2. Solve o = -v + 6*v for v.
0
Let w(x) be the third derivative of x**6/360 + x**5/40 + x**4/12 + x**2. Let g(d) be the second derivative of w(d). Let n be g(3). Solve -2*j - n = j for j.
-3
Let a(s) be the second derivative of -s**3/6 - 2*s**2 - s. Let j be a(-4). Suppose 0*f - 5*f = j. Solve 5*b - 20 + 0 = f for b.
4
Suppose -153 = -5*s - 38. Let r = 23 - s. Solve 3*k - 9 - 6 = r for k.
5
Suppose -4*k - 28 = -28. Solve -2*b + 6*b + 16 = k for b.
-4
Let z be -1 + 4 + (3 - 6). Solve z*p - 2 = -p for p.
2
Let b be 12/(-42) + 69/21. Suppose 4*z = -0*z. Solve -y + z - b = 0 for y.
-3
Suppose n - p = -5*p + 1, -2*n - 2*p + 2 = 0. Let y = 6 - -6. Let b be (-3)/y + (-17)/(-4). Solve 0 = -3*l - n + b for l.
1
Let v(z) = 0*z**3 - 9*z + z + 5*z**2 + z**3 + 0 - 7. Let o be v(-6). Suppose 0 = -5*n - 4*r - 20, 2*n - r + o = -2*r. Solve -s - 4 = -n*s for s.
-4
Suppose 7*q + 17 - 38 = 0. Solve 7 = -q*h - 5 for h.
-4
Let l = 3 - 0. Suppose -5*t - a + 48 = 0, 8*a = 5*t + l*a - 60. Suppose -3*q - q + t = -2*s, q - s - 2 = 0. Solve 2*g + 7 = q for g.
-2
Suppose 4*l - 12 = 8. Solve -5*r = -0*r - l for r.
1
Let u(v) = v - 4. Let q be u(6). Suppose 5*f - 20 = -2*t, -q*t = -4*t - 2*f + 14. Suppose -3*g - 2 = -t*g. Solve b - g = -0*b for b.
1
Let o be ((-1)/2 - -1) + 2/(-4). Solve o = 5*a + 3 + 7 for a.
-2
Suppose 4*p - 7 = u, -4 - 6 = -3*p - 4*u. Let k(q) = 2*q - 1. Let v be k(p). Solve v*f + 10 = -2 for f.
-4
Let f(d) = -5*d - 9. Let j be f(-4). Suppose -2*i = j - 15. Let k be 1*9 + -2 + 1. Solve i*m = -2*m + k for m.
2
Let d be (1 - 23)/(7/(14/(-4))). Solve 0 = -3*x + d + 4 for x.
5
Let d = -4 - 0. Let v be 1 - (d + 4 + -4). Solve v*s = 4*s - 4 for s.
-4
Let o = -1 + -2. Let w be 26 - (0 + o - -5). Suppose -4*d = 2*y - 18, -4*d + 0*y + w = -4*y. Solve -3 = -d*i + 2 for i.
1
Suppose -4*q = -11*z + 6*z - 10, 4*z = 2*q - 2. Suppose 3*b - 4*b = -z*j - 1, -j = 5*b - 27. Let d = -5 + 5. Solve j = 2*t - d for t.
1
Suppose a = 5*g - 3, 2*a = -3*a + 5*g + 5. Let r(s) = -s**2 + 12*s + 15. Let u be r(12). Suppose 9 = o + 4*d - u, a*o + d - 13 = 0. Solve o = 4*l - 0*l for l.
1
Let n(j) be the third derivative of j**4/24 - 2*j**3/3 + 2*j**2. Let u be n(4). Solve 2*k + k = u for k.
0
Let d be ((-10)/35 + (-4)/(-14))/2. Solve q + d = -2 for q.
-2
Let c be 27/(-2)*(-16)/12. Let k be c/8 - (-3)/(-12). Solve 2*p - k = -10 for p.
-4
Let g(a) = -a**3 - a**2 + a - 1. Let v be g(1). Let c = v - -1. Let k(u) = 3*u**2 - 1. Let h be k(c). Solve 0 = h*t - 2 for t.
1
Suppose -5*p + 40 = 2*w - 5*w, -5 = -p. Let c = w + 8. Suppose -4*s = 4*l - 104, -5*l + 122 = -0*s - c*s. Solve 4*a - l = -9 for a.
4
Suppose 9*a - 39 - 33 = 0. Let n = 10 - 5. Suppose 2*
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{
"pile_set_name": "DM Mathematics"
}
|
+ c**2 + c - 1. Let p be (-42)/7*1*2/(-4). Let h(x) = 30*x - 12*x + 4*x**2 - 4 - 13*x - 5*x**p. What is h(q) - 4*w(q)?
-q**3 + q
Let t(u) = -3*u + 1. Let s(d) = -8*d + 3. Let m be (-1)/4 + 45/4. Let g(z) = -4*z. Let q = -17 + 18. Let x be g(q). Give m*t(n) + x*s(n).
-n - 1
Suppose p - 3 = 1. Suppose -p*a = 4 + 4. Let b(w) = -w**3 - w - 1. Suppose 4*j - 144 = -4*j. Let i(c) = -8*c**3 - 9*c - 8. What is a*i(k) + j*b(k)?
-2*k**3 - 2
Let n(l) = -16*l**2 + 18*l + 10. Let r(m) = 14*m**2 - 19*m - 8. Determine 4*n(c) + 5*r(c).
6*c**2 - 23*c
Let u(d) = 2*d**3 - 7*d**2 + 3*d + 1. Let h(k) = 5*k**3 - 20*k**2 + 8*k + 2. Suppose 14*j - 14 + 56 = 0. Determine j*h(v) + 8*u(v).
v**3 + 4*v**2 + 2
Let o(x) = -3*x - 3. Suppose -3*a - 3*f = -111, -3*a = -4*a + 5*f + 19. Suppose -14*u - 6 = -a. Let s(c) = -4*c - 3. Determine u*s(r) - 3*o(r).
r + 3
Let v(t) = -2*t**2 + 15*t - 1. Let g(i) = 3*i**2 - 16*i + 2. Determine 3*g(f) + 4*v(f).
f**2 + 12*f + 2
Let k = 232 - 226. Let v(q) = -9*q + 1. Let b(g) = g + 10. Let d be b(-5). Let o(p) = 8*p - 1. Determine d*v(w) + k*o(w).
3*w - 1
Let d(p) = 2*p - 1. Let z = 13 + 53. Let c be 1/5 - z/30. Let b(k) = 1. Let h(j) = -j**2 - j + 5. Let i(a) = 5*b(a) - h(a). Determine c*i(v) + 2*d(v).
-2*v**2 + 2*v - 2
Let n(g) = g**2 + g - 5. Let k(l) = 0*l + 0*l**2 + 6*l + l**2 - 6 - 4*l. What is -5*k(b) + 6*n(b)?
b**2 - 4*b
Let g(w) = -w - 1. Suppose 40 = 6*q + 22. Let u(m) = m**3 - m. Let a be u(1). Let k(y) = -1 + y**3 - 6*y + a*y**q + 3*y. Calculate -g(h) + k(h).
h**3 - 2*h
Let v(s) = 7*s**2 + 2*s + 16. Let a(g) = -g**2 + g. Give -a(k) + v(k).
8*k**2 + k + 16
Let o(i) = 37*i + 7. Let u(x) = 21*x + 4. Let n(j) = -6*o(j) + 11*u(j). Let d(a) = -4*a - 1. Suppose -7 = -0*r + r. Give r*d(y) - 3*n(y).
y + 1
Let b(u) = 9*u - 394. Let x(g) = 4*g - 197. Calculate -3*b(c) + 7*x(c).
c - 197
Let l(q) = -14*q + 10. Let n(v) = -3*v - 5. Let p(z) = 4*z + 6. Let w(h) = -5*n(h) - 4*p(h). Suppose -24*t = -190 - 98. Determine t*w(y) - l(y).
2*y + 2
Let k(l) = 13*l**2 + 32*l - 4. Let x(a) = -3*a**2 + a + 1. Determine k(p) + 6*x(p).
-5*p**2 + 38*p + 2
Let t(v) = 75*v + 5. Let z(i) = 2*i. What is -t(l) + 15*z(l)?
-45*l - 5
Let i(x) = 1. Let m(n) = 265*n - 159. What is -159*i(f) - m(f)?
-265*f
Let r(x) = -3 + 229*x**3 - 76*x**3 - 78*x**3 - 66*x**3. Let a(k) = -2 - 1 + 1 + 8*k**3. Determine 5*a(q) - 4*r(q).
4*q**3 + 2
Let d(x) = 696*x + 1624. Let t(y) = y + 2. What is -4*d(u) + 3248*t(u)?
464*u
Let d = -8 + 18. Let r(f) = -4*f + 3. Let p(w) = -7*w + 5. Calculate d*r(t) - 6*p(t).
2*t
Let y(z) = -4*z**2 - z + 10. Let a(v) = 5*v**2 - v - 11. Give 6*a(t) + 7*y(t).
2*t**2 - 13*t + 4
Let p(m) = 11*m - 9. Let c = -579 + 588. Let o(j) = -5*j + 5. Determine c*o(u) + 4*p(u).
-u + 9
Let s(b) = b**3 + 4*b**2 - 4. Let t = -82 + 87. Let f be 1*(-1)/((-1)/t). Let m(k) = 2*k**3 + 5*k**2 - 5. What is f*s(g) - 4*m(g)?
-3*g**3
Let a(i) = i. Suppose 3*c = 2*c - l + 2, -4*l - 17 = -c. Let s(n) = -2*n**2 + 6*n - 2. Determine c*a(v) - s(v).
2*v**2 - v + 2
Let b(a) = -a - 1. Let r(g) be the second derivative of 2*g**3/3 + g**2 + 6*g. Let f = 26 + -23. Give f*b(t) + r(t).
t - 1
Suppose 172*g - 148*g + 144 = 0. Let c(w) = -3*w + 3. Let m(n) = -4*n + 4. Give g*c(f) + 5*m(f).
-2*f + 2
Let i(n) = -2*n**3 - n**2 + n - 1. Let h(p) = 13*p**3 + 2*p**2 - p + 5. Calculate -h(o) - 2*i(o).
-9*o**3 - o - 3
Let a(q) = 13*q**2 + 424*q + 27. Let i(w) = 3*w**2 + 106*w + 6. What is 2*a(d) - 9*i(d)?
-d**2 - 106*d
Let x(h) = -2*h - 13. Let d = -26 + 23. Suppose -2*z - 14 = 2*r, 2*z + 16 = -2*z. Let l = r + d. Let j(t) = -t - 6. Give l*x(v) + 13*j(v).
-v
Let l(y) be the second derivative of y**5/4 - y**4/12 + y**3/2 - 4*y**2 + 13*y + 11. Let g(m) = -6*m**3 + m**2 - 4*m + 9. Determine -3*g(s) - 4*l(s).
-2*s**3 + s**2 + 5
Let k(c) = -c**2 - 4*c + 2. Let y be -2*(-1 + 0) + -76 + 75. Let w(b) = b**2 + b - 1. What is y*k(v) + 2*w(v)?
v**2 - 2*v
Let h(v) = 4*v + 51. Let c(u) = -1. Determine -6*c(l) + h(l).
4*l + 57
Let z(g) = -12*g + 188. Let f(o) = 29*o - 378. What is -2*f(k) - 5*z(k)?
2*k - 184
Let c(u) = u**2 - u - 1. Let b(v) = 13*v**3 + 4*v**2 - 4*v - 4. Suppose -15*d + 78 = 18. Calculate d*c(p) - b(p).
-13*p**3
Let v be (1/(-1))/(116/(-28) - -4). Let n(h) = 10*h + 5. Let b(u) = 3*u + 2. What is v*b(o) - 2*n(o)?
o + 4
Let b(n) = 6*n - 149. Let q(i) = 4*i - 149. Give 3*b(a) - 4*q(a).
2*a + 149
Let k(b) = -b**3 - b**2 + 6*b - 5. Let n(u) = -u**2 + 5*u - 4. Suppose 2*o = -3*h - 27, -2*h + 1 + 7 = -3*o. What is o*n(a) + 5*k(a)?
-5*a**3 + a**2 - 1
Let c(u) = 8*u**2 + 5. Suppose -d - 6 = 2*d + 3*b, 5*d = b - 28. Let s(m) = -11706*m**2 - 1 + 0 - 6*m + 11705*m**2 + 6*m. What is d*s(r) - c(r)?
-3*r**2
Let m = -81 - -85. Let s(h) = -5*h**2 + h + 3. Let k(c) = 6*c**2 - c - 4. Determine m*s(z) + 3*k(z).
-2*z**2 + z
Let x(v) = 1865*v. Let r(d) = -4*d. Determine -373*r(l) - x(l).
-373*l
Let v(f) = 7*f**3 - 3*f**2 + 9*f. Let u(j) = j**2 - j. Calculate 6*u(m) + 2*v(m).
14*m**3 + 12*m
Suppose 0 = 56*a + 24*a - 240. Let k(r) be the first derivative of -2*r - 2 - 1/2*r**2 - 1/3*r**a. Let u(x) = -x**2. Give -k(w) - u(w).
2*w**2 + w + 2
Let d(b) = -3. Let a(r) = -r**2 - 207. What is -a(c) + 2*d(c)?
c**2 + 201
Let x(b) = 10*b**3 - 6*b**2 + 108*b + 1. Let d(m) = 18*m**3 - 11*m**2 + 217*m + 2. What is 6*d(l) - 11*x(l)?
-2*l**3 + 114*l + 1
Let z(y) = -112*y - 17. Let c(j) = -111*j - 15. Calculate -7*c(x) + 6*z(x).
105*x + 3
Let b(o) = -324*o + 567. Let t(n) = -n + 1. Determine 3*b(w) - 1701*t(w).
729*w
Let s(p) be the second derivative of -3*p**5/20 - p**4/6 - p**3 + 332*p. Let w(v) = -v. Calculate s(r) - 3*w(r).
-3*r**3 - 2*r**2 - 3*r
Let m(p) = -17*p**3 + 3*p**2 + 9*p - 2. Let t(x) = 49*x**3 - 8*x**2 - 26*x + 5. Give -8*m(y) - 3*t(y).
-11*y**3 + 6*y + 1
Let z(v) = v**2 - 20*v - 1. Let m(r) = 3*r**2 - 39*r - 2. What is 4*m(b) - 10*z(b)?
2*b**2 + 44*b + 2
Let i(y) = 496*y**3 + 4*y**2 + 4*y - 12. Let k(l) = 21825*l**3 + 175*l**2 + 175*l - 525. Determine -175*i(p) + 4*k(p).
500*p**3
Let v(r) = -r + 1. Let y(p) = -3*p - 17. Let j = 5 - 9. Let t be y(j). Let f(k) = 8*k - 4. Determine t*v(a) - f(a).
-3*a - 1
Suppose 3*b - 39 = 3*h + 8*b, -4*b + 20 = -4*h. Let n(x) = 13*x**2 - 8*x - 8. Let f(l) = 4*l**2 - 3*l - 3. Determine h*f(m) + 3*n(m).
7*m**2
Let g(w) = -8*w + 5. Let h(l) = -7*l + 5. Let a(d) = -5*g(d) + 6*h(d). Let p(s) = s - 4. Calculate -4*a(q) - 5*p(q).
3*q
Suppose 0*m - m = -5*u + 6, 0 = -3*m + u + 52. Let t(g) = 11 - m*g**2 + 34*g**2 - 6*g**3 + 0. Let q(w) = 3*w**3 - 8*w**2 - 6. Give 11*q(c) + 6*t(c).
-3*c**3 + 2*c**2
Let q(n) be the first derivative of n**2/2 - n + 113. Let s(l) = -l + 2. What is -10*q(r) - 5*s(r)?
-5*r
Let l(n) = -3*n**2 - 5*n - 3. Let v(o) = -8*o**2 - 14*o - 8. Let x(p) = 14*l(p) - 5*v(p). Let z(m) = 10*m**2 + 11. Give -11*x(f) - 2*z(f).
2*f**2
Let j(a) = 3*a**3 - 7*a**2 - 6. Let x(q) = -5 + 209*q**3 + 10 - 212*q**3 + 6*q**2. Give -5*j(p) - 6*x(p).
3*p**3 - p**2
Let c(g) = g**2 - g + 1. Let r(l) = 4*l**2 - 6*l - 29. Determine 10*c(o) - 2*r(o).
2*o**2 + 2*o + 68
Let y(q) = -q + 1. Let b(r) = 146*r + 5. Determine -b(f) + 5*y(f).
-151*f
Let r(o) = 12 + 4*o + 2*o - 3 - 4*o**3 - 7*o**2. Let f be (18/30)/(-4*1/(-60)). Let j(q) = -2*q**3 - 3*q**2 + 3*q + 4. Give f*j(p) - 4*r(p).
-2*p**3 + p**2 + 3*p
Let y(t) = 16*t - 7. Let h = -325 + 318. Let m(i) = 11*i - 5. Determine h*m(g) + 5*y(g).
3*g
Let s(t) = 33*t - 2. Let p(h) = -24*h + 2. Let w(d) = 4*p(d) + 3*s(d). Let j(n) = -3*n - 2. Calculate 4*j(m) + 5*w(m).
3*m + 2
Let z(r) = -20*r**2 - 11*r. Let u(h) = -21*h**2 - 12*h. Determine 3*u(x) - 4*z(x).
17*x**2 + 8*x
Let f(w) be the first derivative of 3*w**2/2 + 6*w + 124. Let x(t) = -4*t - 7. What is -6*f(q) - 5*x(q)?
2*q - 1
Let j(k) = 16*k**2 - 209*k + 12. Let f be j(13). Let h(t) = -t**3 - 3*t - 3. Let l(v) = v + 1. Calculate f*h(i) - 3*l(i).
i**3
Let t(s) = s - 4. Let a(k) = k + 1. Let o = 507 - 508. Determine o*a(j) - t(j).
-2*j + 3
Let x(z) = 5*z**2 - 6*z - 10. Let b(n) = -6*n**2 + 7*n + 9. Determine 4*b(c) + 5*x(c).
c**2 - 2*c - 14
Suppose 0 = 2706*b - 2709*b + 45. Let k(g) = -7*g**3 + 9*g**2 + 5*g. Let i(j) = 3*j**3 - 4*j**2 - 2*j. What is b*i(f) + 6*k(f)?
3*f**3 - 6*f**2
Let k(q) = 10*q**2 + 5*q - 5. Let i be (-1)/(-1) - (-2 + 6). Let r(z) = 5*z**2 + 382*z - 385*z - z**2 - 9*z**2 + 3. What is i*k(y) - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
is positive.
f**(-109/1120)
Simplify ((j**(-1/4))**34/((j*j*j*j**(-2/15)*j)/j**5))**(1/41) assuming j is positive.
j**(-221/1230)
Simplify ((((z**2/z)/z*z)/z)/z**(-2/7))/(z**(-15))**(-23) assuming z is positive.
z**(-2413/7)
Simplify (g**(-14)*g**9)**36 assuming g is positive.
g**(-180)
Simplify (y/(y*y/y**(-1/5))*y**14)/((y*y*y*y**14)/((y*y*y*y/y**(21/2))/y)) assuming y is positive.
y**(-117/10)
Simplify ((k/((k/(k*k/k**(-13)*k))/k)*(k**1*k)/k)/(k**(2/7)*k)**(-16))**27 assuming k is positive.
k**(7290/7)
Simplify (((g**(-1/3)/g)/g)/g*g)**(-1/11)*(g**2/g*g)/g**0 assuming g is positive.
g**(73/33)
Simplify (x/((x**(-1/7)/x)/x)*x**0*x)/(x**(-22)/(x*x*x/(x**(1/25)*x)*x*x)) assuming x is positive.
x**(5268/175)
Simplify ((((b**(-1/8)*b)/b)/(b**4/b))/(b**(1/3)/b)**(-3))**(-6/23) assuming b is positive.
b**(123/92)
Simplify (((j*j**5*j)/(j/(j*j**(-2/9))))/(j/j**3)**(-23))**(-4/15) assuming j is positive.
j**(1412/135)
Simplify (x**(-3/2)*x/x**(3/2)*(x**(2/3)/x)**30)**(-2/19) assuming x is positive.
x**(24/19)
Simplify ((((d/(d/d**(-1/9)))/d*d)/d)/d)/d**(-3/10)*d*d/d**(-11)*d*d**(2/7)*d*d assuming d is positive.
d**(9119/630)
Simplify (z**(1/45)*z*z/(z*z/z**(2/13))*z)**(2/23) assuming z is positive.
z**(1376/13455)
Simplify (((o/o**(-1/4))/(o*o**(-11/5)*o*o))**12)**(2/17) assuming o is positive.
o**(54/85)
Simplify ((((v/(v/(v/v**(-10)*v))*v)/v)/v)/((v*((v/(v**(-3/16)*v))/v)/v)/v*v))/(v**23/v**(5/2)) assuming v is positive.
v**(-139/16)
Simplify ((i/i**(-7/4))/i**(-10))/(i/(i**(4/3)*i*i*i)*(i*i*i*i**(-1/3)/i)/i) assuming i is positive.
i**(185/12)
Simplify (q**2)**(-48)/(q**1*q*(q**7*q)/q) assuming q is positive.
q**(-105)
Simplify ((p/p**(-16)*p*p)/((p**10/p)/p*p))/(p/(p/((p/p**1)/p)))**(-25) assuming p is positive.
p**(-15)
Simplify (z**(3/2)/z*z**(-11))/(z*z**5*z*((z*z**(-12/5))/z)/z) assuming z is positive.
z**(-141/10)
Simplify (m**(-12)/m**(-29))/(m**(4/15)/(m/m**(-12)*m)) assuming m is positive.
m**(461/15)
Simplify (s*s*s**(2/7)*s*s)/(s/(s**(-10/7)/s))*(s/s**(-16)*s)/(s/s**(2/11)) assuming s is positive.
s**(1389/77)
Simplify (g*g**(-2/9)*(g/(g**(-16)*g))/g)/(g/g**(2/9))**22 assuming g is positive.
g**(-4/3)
Simplify ((d*d/d**5*d*d**(-2/29))**(5/11))**(-1/50) assuming d is positive.
d**(6/319)
Simplify (((k/((k*(k*k*k/k**27)/k*k*k*k*k)/k))/k)/k*k*(k*k*k*k/(k/k**(-1/46))*k*k*k)/k)/(k**(-9/5)*k*k/k**(-10/3)) assuming k is positive.
k**(15487/690)
Simplify (s**(-6)*s)**(-21)/((s*s*(s**(-20)*s)/s*s*s*s)/s**(-17/3)) assuming s is positive.
s**(343/3)
Simplify ((k**(2/7)*k**3)**(15/7))**34 assuming k is positive.
k**(11730/49)
Simplify (h**(3/16)*h*h)/(h*h/h**31)*h**(-34/7)*h/(h/((h/h**(-5/3))/h)) assuming h is positive.
h**(9407/336)
Simplify (b**8)**1*(b**11/b)**(-45) assuming b is positive.
b**(-442)
Simplify ((x**30*x)/((x*(x/(x*(x**3*x)/x))/x)/x))/(x*x*x*x/x**(18/7)*x*x*x**(-21)/x) assuming x is positive.
x**(375/7)
Simplify (b**(7/6))**(-35)/(b/b**(1/14)*((b/(((b/(b*b**(9/4)/b))/b)/b*b))/b*b)/b) assuming b is positive.
b**(-3697/84)
Simplify n*n/n**16*n**(-7/6)*n**(-1/2)*n/n**9 assuming n is positive.
n**(-71/3)
Simplify (t*((t/((t/(t/t**6))/t*t)*t)/t)/t*((t*(t/(t*t**(-5)))/t)/t)/t*(t/(t/(t*t/t**(4/7))))/t*t**(-12))**48 assuming t is positive.
t**(-4560/7)
Simplify ((h**(-2/3))**(-45))**(-24/11) assuming h is positive.
h**(-720/11)
Simplify (((x**(-6)/x)**(-21))**(-1/30))**(-25) assuming x is positive.
x**(245/2)
Simplify (g*g/(g**(-2/5)/g)*g)**(2/27)*g**(2/31)*g/g**(-7/4) assuming g is positive.
g**(52571/16740)
Simplify ((y/(y/(y/((y*y/((y**6/y)/y)*y)/y))))/(y*y**(1/12)))/((y*y/(y*y**(-11)*y))/y*(y/(y*y/(((y*y/(y**(-2/43)*y)*y*y)/y)/y))*y)/y) assuming y is positive.
y**(-4195/516)
Simplify ((m*m/m**(3/2)*(m*m*m*m/(m*m/m**(-10)*m))/m)**(-4/13))**(2/9) assuming m is positive.
m**(76/117)
Simplify (y**(-1/9)/(y*y**32*y))**(5/13) assuming y is positive.
y**(-1535/117)
Simplify (i/(i*i*i**(-14)*i)*i)/(i**(-3)/i*i)*(i/(i/(i**(6/11)/i)))**(-17) assuming i is positive.
i**(261/11)
Simplify (l**1/(l*l**(13/2)))/(l/(l*l*l*l/l**(-9/2)*l)*l)**(-18) assuming l is positive.
l**(-283/2)
Simplify (b**8/b)/(b/((b/(b*b/(b/b**(-18))))/b))*(b*b*b*b**(-1/19))/(b**(8/3)*b) assuming b is positive.
b**(1270/57)
Simplify (k**(3/4)*k)/k*k**(3/14)*(k**(-1)/k*k)/(k/(k**(-7/4)/k)) assuming k is positive.
k**(-53/14)
Simplify (p**(-3/2))**(-2/11)/(p*p**(-2/27)/p*p**16) assuming p is positive.
p**(-4649/297)
Simplify (l**(2/21))**(-34)/(l*l**24*l*l*l**28) assuming l is positive.
l**(-1223/21)
Simplify ((((r/(r/r**(1/2)*r))/r)**38)**50)**(-15/7) assuming r is positive.
r**(42750/7)
Simplify (n*n/n**(1/5)*n*n*n**(16/5))/(n/(n/(n*n**(1/2)))*n**(3/8)/n) assuming n is positive.
n**(49/8)
Simplify t**(-13)/(t**(-13)/t)*(t**(-2/17))**(2/5) assuming t is positive.
t**(81/85)
Simplify (t*t*t**(-2)/t*t)**37/((t**(5/2)*t)/t**6) assuming t is positive.
t**(5/2)
Simplify ((n*n*n**2)/n*n)**33*(n/(n*(n/(n/(n*n**(1/3))))/n)*n)**(5/9) assuming n is positive.
n**(3574/27)
Simplify (r*r**7)/(r*r**(-2))*r**13/r**0 assuming r is positive.
r**22
Simplify j*j*j**(1/9)*j**(-11)*(j**8)**(5/2) assuming j is positive.
j**(100/9)
Simplify (p**(6/11)*p)/(p/p**(8/11)*p)*p**9*p**(3/2) assuming p is positive.
p**(237/22)
Simplify (q**5/(q*(q/(q/(q/((q/(q/q**(-4/5)))/q*q)*q*q))*q)/q)*(q**(2/3)*q*q)**(38/7))**(-35) assuming q is positive.
q**(-1541/3)
Simplify (((j*j*j/j**33*j)/j)/((j/j**(4/19))/j))/(j*j*j**(-7)*j**(-21)) assuming j is positive.
j**(-72/19)
Simplify (g**(1/9)*g*g*((g**(4/15)*g)/g*g)/g*g)/(g/(g*g/((((g**(-5/3)/g)/g)/g)/g)*g))**(3/10) assuming g is positive.
g**(511/90)
Simplify (j**(-2/5))**(-42)*(j*j**0)/j**(1/6) assuming j is positive.
j**(529/30)
Simplify (((b**(1/4)/b)**(1/22))**(-10/7))**(-31) assuming b is positive.
b**(-465/308)
Simplify ((j*((j**(-8)/j*j)/j*j)/j*j)**(-9/4))**(-1/3) assuming j is positive.
j**(-21/4)
Simplify (((d**12/d)/(d/(d/d**(6/5))*d))**(5/2))**(-34) assuming d is positive.
d**(-748)
Simplify (r**9*r*r)**0*(r**(-8))**37 assuming r is positive.
r**(-296)
Simplify ((o**8/o)/(o*o*(o**37*o)/o))**(7/3) assuming o is positive.
o**(-224/3)
Simplify (z/((z*z/((z*z/(z/(z*z/(z**9/z*z)*z)*z)*z*z)/z))/z*z*z))/z*z**5*(z*z**(-4/3)*z)/z**(3/13) assuming z is positive.
z**(-100/39)
Simplify ((d*(d*d/d**7)/d)**(-1/30))**(-2/13) assuming d is positive.
d**(-1/39)
Simplify (w*w**(-7)*w*w*w*w*w**(-7/2)*w)/((w*w**(-1/7))/w**(-2/49)) assuming w is positive.
w**(-529/98)
Simplify (((w**34/w)/w*w*w)/w**(1/16))**10 assuming w is positive.
w**(2715/8)
Simplify ((c**(-1)*c/(c*((c*c**(-13))/c)/c*c))**(-45))**(2/19) assuming c is positive.
c**(-1080/19)
Simplify (((s**(1/3)/s)/s**(-1/6))**(-2/193))**40 assuming s is positive.
s**(40/193)
Simplify n**(-2)*n*n*n**8*(n**13*n*n)/(n**(3/7)*n*n) assuming n is positive.
n**(144/7)
Simplify (t**(-20)/(((t*t**(-8/3))/t)/t))**47 assuming t is positive.
t**(-2303/3)
Simplify (n**(2/7)*n*n)**(3/31)*(n*n**11)**(2/17) assuming n is positive.
n**(6024/3689)
Simplify (v**(-19))**(-40)*v/v**(-5/7)*v**23 assuming v is positive.
v**(5493/7)
Simplify h*(h**(-7/3)*h)/h*h/(h*h*h/(h**(-2/13)/h))*h*(h/(h/(h*(h/(h/(h/(h*h*h**(-15/2)*h*h))))/h*h)))**(-19/4) assuming h is positive.
h**(-9239/312)
Simplify (y/(y/(y**5*y))*y)**39*(y/(y/y**(-18)))/(y**(-18)/y) assuming y is positive.
y**274
Simplify ((n*n**2*n)/n**(7/6))/((n/n**(-1))/n*n)**(19/3) assuming n is positive.
n**(-59/6)
Simplify (t/(t**(4/11)/t))/t*t*t**12*(t*t*t**(2/3)/t*t)**48 assuming t is positive.
t**(1558/11)
Simplify (r**(-22))**(1/4)/(r**7*r**23) assuming r is positive.
r**(-71/2)
Simplify (((s**(-6)*s)/s)/s**6)/(s**(6/19)*s*s*s/s**(-3/11)*s) assuming s is positive.
s**(-3467/209)
Simplify (s*s**(2/13))**(-43)*(s*(s**(-4)/s)/s*s)**(-5/12) assuming s is positive.
s**(-1870/39)
Simplify (s**(-3/19)*s/(s/s**(-6)*s)*s*s)/((s**14/s)/(s/s**(-33))) assuming s is positive.
s**(301/19)
Simplify ((u/(u/(u*(u/(u**4*u))/u)))/(u**(-15/4)*u))**(1/3) assuming u is positive.
u**(-5/12)
Simplify (g**4*g*g*g/(g*g**0)*(((g*g**(-2/21))/g)/g*g)/(g/((g/g**(-3/8))/g)))**31 assuming g is positive.
g**(27497/168)
Simplify ((b**(-20)*b)**(-9/8))**(1/39) assuming b is positive.
b**(57/104)
Simplify i**(6/11)*i*(i/i**(-14))/i*i**(-2/3)*i/((i/(((i**(8/3)*i)/i)/i*i))/i) assuming i is positive.
i**(204/11)
Simplify ((n**(-2
|
{
"pile_set_name": "DM Mathematics"
}
|
a) -6 (b) -5 (c) 3
c
Let d = -2.055 + 0.055. What is the nearest to 2/3 in -1, d, -5?
-1
Let w(o) = -o. Let z be w(2). Let g = z - 2. Let q = -39/2 - -19. What is the closest to q in g, 1/5, 2/5?
1/5
Let i = 9.06 - 0.06. Let t = 4 - i. Let s = 3/20 + -73/220. What is the nearest to -1/4 in s, t, 1/2?
s
Let t = 189 - 194. Which is the closest to 2? (a) 43 (b) 2 (c) t
b
Let b(d) = 13*d - 49. Let l be b(4). Let c = -0.1 - -0.1. What is the closest to -0.1 in 4, l, c?
c
Let d = 0.2359 - 0.0359. What is the closest to 1 in 3/2, -1/5, -1/3, d?
3/2
Suppose 2*g = -5 - 5, -5*k + 3*g = 0. Let x be 1 + (-5 - (2 + k)). Let z be (0*11/121)/(-1 - 1). Which is the nearest to z? (a) 2/9 (b) 0.3 (c) x
a
Let c = -237 - -237.5. What is the nearest to 1 in -2, -4, c?
c
Let m(n) = -n**3 + 20*n**2 + 20*n + 21. Let j be m(21). Which is the nearest to 11? (a) -1 (b) -0.4 (c) j
c
Let s = 3.6798 + 0.3202. Let j = 89/3 - 30. Which is the closest to j? (a) -5 (b) 5 (c) s
c
Let l = -49 + 51. Let b = -46 + 45.99. What is the nearest to l in 4/7, b, -0.4?
4/7
Let x = -44.68 - 0.32. Let o = x - -48. Which is the nearest to -1/5? (a) 0.5 (b) -3/4 (c) o
b
Let z = -1.38 + 88.38. Let w = z - 89. Which is the closest to -2/9? (a) 2 (b) 1/5 (c) w
b
Let k = 706.01 - 706. Which is the nearest to -3? (a) -3/4 (b) 3/5 (c) k (d) 5
a
Let f = -518/9 + 2081/36. Let m = -2 + 3. Which is the nearest to m? (a) 2/7 (b) f (c) 0.3
c
Let g = 4.519 - -0.511. Let p = g - 0.03. Which is the nearest to 3? (a) -1/6 (b) p (c) -3
b
Let u = 208/3 - 206/3. What is the closest to -0.2 in -0.2, 2, u, -2/11?
-0.2
Let n be (14/6)/((-3)/9). Let c = -3 - n. Let f = -1.0054 + 0.0054. What is the closest to -2/5 in 2/5, f, c?
f
Let o be (-2 - -3)/((-2)/16). Let s = o - -8. Let g = 0 - -0.1. What is the nearest to g in 5, -2/11, s?
s
Let w = -355 + 354. Let n = 2202 - 6532/3. Let v = 25 - n. Which is the closest to w? (a) -3/4 (b) v (c) 3
a
Let g be ((-126)/360)/((-4)/(-42)). Let r = -19/5 - g. Let s = -1 + 0.9. Which is the nearest to r? (a) 0.4 (b) s (c) -2
b
Suppose 0 = 2*w - 4*w + 198. Let f = 98 - w. What is the closest to 0.2 in -0.5, -2/9, f?
-2/9
Let m be 17/((-17)/2) + 48/21. What is the nearest to 0 in 50, m, 1?
m
Let o = -477 + 473. Which is the nearest to -1? (a) -1/4 (b) 1/3 (c) 0.2 (d) o
a
Let u = 40 - 43. Suppose 4*y + 4*k - 3*k = 8, 5*k = -4*y + 24. Which is the closest to y? (a) 3 (b) u (c) -1.9
a
Suppose -1 = -v - y, 4 = 2*v + 4*y - 0*y. Suppose v = 4*f - 2 + 2. Let j = 31/10 + -13/5. What is the nearest to 0 in j, -1/4, f?
f
Let i = -0.054 - 42.946. Let g = -45 - i. What is the nearest to 0 in g, 0.07, 4/3?
0.07
Let k = -2 + 3. Let q = 0.4 - 0.6. Let u = -1.29 - -1.19. What is the nearest to k in q, u, 1?
1
Let k = 90.795 + 0.205. Let v = k + -91. What is the closest to 0.1 in v, 2, -0.2?
v
Let x = 8233 - 8233. Let o = -4.95 + -0.05. What is the closest to -2/3 in o, x, 2/5?
x
Let z = 158 - 208. Let k = z + 49.8. Which is the nearest to -1? (a) k (b) 1 (c) -2/5
c
Let o be (-27)/(-18) - 2/(-4). Let k = 11 + -16. Let z = k - -3. What is the closest to 0.1 in -5/3, o, z?
-5/3
Let g be 1 + (5/(-2) - -1). Let f be 0/2 - (56/(-546))/(4/(-6)). Which is the nearest to -11? (a) 0.4 (b) g (c) f
b
Let w = -0.057 - -0.457. Let y = 0.4 + 1.6. What is the closest to 1/4 in y, w, 0.2?
0.2
Let p(c) = 3*c**2 + 103*c + 129. Let n be p(-33). What is the nearest to 5 in 3, n, 5, -0.1?
5
Let n = 530 + -535. Let v = -3 - -8. Let x = -32 - -35. Which is the closest to n? (a) 2/9 (b) x (c) v
a
Let f(d) = -45*d - 176. Let t be f(-4). What is the closest to -9/4 in 0, t, 0.5, 2/11?
0
Let r = 220.7 + -221. What is the closest to 0.1 in -2, r, -2/7, -1/6?
-1/6
Let f be ((-1)/4)/(30/(-48)). Let d = 0.066 - -7.634. Let w = d - 8. Which is the closest to f? (a) w (b) -5 (c) 0
c
Let l be (-11)/(-30) - 2/10. Suppose 3*f - 21 = 5*d, 6*f - 4*d = 4*f + 16. Which is the nearest to 1? (a) -2 (b) l (c) f
b
Let g = 415.5 + -415. Which is the nearest to -1/4? (a) 1 (b) -2/41 (c) g
b
Let d = 0.4 + -0.2. Let q = 0.0541 - -0.9459. Which is the nearest to q? (a) -2/5 (b) -6 (c) d
c
Let x(d) = -d**3 + 7*d**2 + 2*d - 6. Let s be x(7). Let m be 4/6 + 42/18. Suppose -m*i + s = -i. Which is the nearest to -2? (a) i (b) -1/4 (c) -0.4
c
Let j = 344 - 343.8. What is the nearest to j in -2, -5, 2/7, 2/3?
2/7
Let o = -3.9 + 1.7. Let m = -2 - o. Let h(v) = 5*v + 50. Let d be h(-9). Which is the closest to -0.3? (a) 1/2 (b) m (c) d
b
Let j = 1117 + -5584/5. Let a = 1.2 + -0.2. Let t = -0.24 - 0.06. What is the nearest to a in j, -2, t?
j
Let g = -55 + 217/4. Which is the nearest to 0.1? (a) 2/5 (b) -5 (c) 3 (d) g
a
Suppose -3 = 2*t - 11. Let u = -392 - -388. Let v = -0.45 - -0.55. Which is the nearest to v? (a) u (b) t (c) 2/5
c
Suppose 0 = 2*k + 3*k + 135. Let l be 4/(-6)*k/(-3). Let q = -2831 - -2833. What is the nearest to l in -0.2, -1, q?
-1
Let q = 266 + -264. Which is the closest to 11? (a) -5 (b) q (c) 0
b
Let p = 360 + -361. Suppose -4*x - 19 - 13 = 0. Which is the nearest to x? (a) 5 (b) p (c) 0
b
Let j = -1 - -1. Let p = -10 + j. Let r(g) = g**3 - g**2. Let t be r(1). What is the nearest to t in p, 2/9, -2/5?
2/9
Let j = -2 + 3. Let y = -1.1 + j. Let i = 169 + -172. What is the nearest to -2/7 in y, i, 0.3?
y
Let m = 412 - 426. What is the nearest to 0 in m, 3, 2?
2
Let n = -966 + 966.11. What is the closest to n in -5, 3/5, -3/4?
3/5
Let j = -38 - -38.11. Let c = -0.01 + j. What is the closest to -0.8 in -2/3, c, 3?
-2/3
Let h = -0.1 + 0.08. Let n = 0.42 + h. Let j = 193 + -195. Which is the closest to -0.2? (a) n (b) j (c) -4
a
Let u = 37/203 - -3/29. Let y = -6 + 4. Which is the nearest to 0.1? (a) y (b) -0.1 (c) u
c
Let i = -0.3 - -0.5. Suppose 0 = 24*s - 46*s + 110. Which is the closest to 2/7? (a) i (b) s (c) 4
a
Let h = 0.8 + -0.4. Suppose -2*r - 13 = -q + 70, -2*q = -5*r - 206. Let y be (-6)/r - 9/(-36). Which is the nearest to y? (a) -3 (b) -1/4 (c) h
c
Let r = -151.9 - -159. Let f = 2.1 - r. Which is the closest to -1? (a) f (b) -6 (c) -3/4
c
Let q be (-40)/12*(4/(-8) - 1). Which is the closest to 3? (a) q (b) 2/5 (c) 7 (d) 0
a
Let f = 24.03 + -22.5. Let r = -0.13 + f. Let v = r - 1.5. Which is the closest to v? (a) 5 (b) -3 (c) 0.2
c
Let b = 532 + -537. Let m be -1*(0 + 1/(-3)). What is the closest to 1 in -0.5, m, b?
m
Let r = 19/5 + -4. Let q = -1.9916 + -0.0084. What is the closest to 0.2 in 0.1, q, r?
0.1
Let x = -101/301 - 4/43. Let y = 0 - 5. Let o be ((-1)/y)/(12/15). What is the nearest to o in x, 0, 4?
0
Let r = 1.9 + -2. Let a = 923/5 + -184. Let q = 0.04 + 0.16. What is the closest to r in 1/7, q, a?
1/7
Let k be (-2 + 100/56)/(72/(-84)). Which is the nearest to k? (a) 0.2 (b) 4 (c) -3/2
a
Let v = -1.84 - 0.16. Let s = -2 - -4. Which is the nearest to s? (a) 3/2 (b) 0 (c) v
a
Suppose 5*i + 6 = 16. Let s = 31/54 + 5/54. What is the nearest to -2 in -4, s, i?
-4
Let z = -2.98 + 3.48. What is the closest to 0.7 in -1/9, z, -4?
z
Let s = 8 - 5. Let o be (3/(-4))/(-3) - 1. What is the nearest to 1 in s, -5, o?
o
Let t = 149 + -161. Which is the closest to -1/2? (a) t (b) -4 (c) 1/4
c
Let o(t) = t**2 - 10*t + 21. Let g be o(6). Let l be (-39)/(-12) + (-1)/4. Let y be (-1)/g + 2/l. Which is the closest to -0.1? (a) 0.1 (b) y (c) 0.2
a
Let b = -139 + -12. Let j = 155 + b. What is the nearest to 1 in 1, -5, j?
1
Let t = -2/157 - 292/1727. Let i = 661 - 16523/25. What is the closest to 0.1 in t, 0.05, i?
i
Let s = -1.328 - -1.628. Let k = -9 - -16. Which is the closest to 0.1? (a) -4 (b) k (c) s
c
Let d = -0.49 + 0.59. Let n = -161/52 + 13/4. What is the closest to -1 in n, -5, d?
d
Let o be (-58)/(-208) + 22/(-143). Which is the nearest to -37? (a) o (b) 5 (c) -0.2
c
Let f = -179 + 181. Which is the closest to -5? (a) f (b) -2 (c) -0.2
b
Let g = -28 - -39. Let y = g + -14. Which is the closest to 1? (a) y (b) -0.2 (c) 4
b
Let r = 2.8 - 3. Let a be ((-2)/(-10) - 180/(-75)) + -3. What is the closest to a in r, -3, -2?
r
Let z = 0.18 + 0.02. Let d = -0.3 - -0.2. Let f = 115.95 - 116. Which is the nearest to d? (a) -1 (b) f (c) z
b
Let s = 0.3 + -0.3. Suppose 14*d - 9*d = 0. Let v = -13.2 - -13.3
|
{
"pile_set_name": "DM Mathematics"
}
|
nutes are there between 11:02 PM and 9:19 AM?
617
What is 466 minutes after 4:55 AM?
12:41 PM
How many minutes are there between 3:34 AM and 2:21 PM?
647
How many minutes are there between 8:10 AM and 5:51 PM?
581
What is 672 minutes after 9:15 AM?
8:27 PM
What is 111 minutes before 11:03 AM?
9:12 AM
What is 628 minutes before 5:46 PM?
7:18 AM
How many minutes are there between 9:28 PM and 10:07 PM?
39
What is 371 minutes before 9:45 AM?
3:34 AM
What is 142 minutes after 11:47 AM?
2:09 PM
What is 576 minutes before 11:40 PM?
2:04 PM
How many minutes are there between 6:04 PM and 8:25 PM?
141
How many minutes are there between 2:31 AM and 2:19 PM?
708
What is 149 minutes before 5:20 AM?
2:51 AM
How many minutes are there between 1:53 PM and 6:57 PM?
304
How many minutes are there between 5:51 PM and 9:49 PM?
238
What is 20 minutes before 11:27 AM?
11:07 AM
How many minutes are there between 4:37 PM and 12:30 AM?
473
What is 253 minutes before 3:26 PM?
11:13 AM
How many minutes are there between 12:07 PM and 10:23 PM?
616
How many minutes are there between 10:22 AM and 10:10 PM?
708
How many minutes are there between 10:13 PM and 4:58 AM?
405
What is 148 minutes after 10:29 PM?
12:57 AM
What is 265 minutes after 1:26 PM?
5:51 PM
What is 289 minutes before 8:47 AM?
3:58 AM
What is 481 minutes after 7:58 AM?
3:59 PM
What is 137 minutes after 10:27 PM?
12:44 AM
How many minutes are there between 12:08 PM and 4:21 PM?
253
What is 406 minutes after 12:33 AM?
7:19 AM
How many minutes are there between 11:24 AM and 10:36 PM?
672
What is 453 minutes after 12:12 PM?
7:45 PM
What is 56 minutes before 1:10 PM?
12:14 PM
How many minutes are there between 8:56 PM and 3:56 AM?
420
How many minutes are there between 3:06 AM and 5:07 AM?
121
How many minutes are there between 6:18 AM and 10:13 AM?
235
What is 148 minutes after 9:12 PM?
11:40 PM
What is 166 minutes before 2:01 PM?
11:15 AM
What is 530 minutes before 2:41 PM?
5:51 AM
How many minutes are there between 12:31 PM and 12:20 AM?
709
What is 549 minutes before 8:46 AM?
11:37 PM
What is 444 minutes before 6:14 PM?
10:50 AM
What is 145 minutes before 7:38 PM?
5:13 PM
What is 191 minutes before 3:29 PM?
12:18 PM
How many minutes are there between 4:18 AM and 3:49 PM?
691
What is 697 minutes before 8:16 PM?
8:39 AM
How many minutes are there between 12:44 AM and 9:51 AM?
547
How many minutes are there between 10:42 PM and 6:55 AM?
493
How many minutes are there between 1:02 AM and 3:58 AM?
176
What is 423 minutes after 11:28 AM?
6:31 PM
How many minutes are there between 11:36 AM and 1:36 PM?
120
What is 532 minutes before 6:15 AM?
9:23 PM
How many minutes are there between 10:25 AM and 5:10 PM?
405
How many minutes are there between 12:08 AM and 2:54 AM?
166
How many minutes are there between 1:21 AM and 4:32 AM?
191
What is 38 minutes after 7:16 PM?
7:54 PM
How many minutes are there between 1:43 AM and 11:32 AM?
589
What is 360 minutes after 11:34 PM?
5:34 AM
How many minutes are there between 10:47 AM and 12:30 PM?
103
How many minutes are there between 3:00 PM and 3:59 PM?
59
What is 708 minutes after 6:54 AM?
6:42 PM
What is 528 minutes after 5:50 PM?
2:38 AM
How many minutes are there between 9:38 PM and 11:29 PM?
111
What is 130 minutes after 6:01 PM?
8:11 PM
How many minutes are there between 5:05 AM and 11:39 AM?
394
What is 530 minutes before 2:57 PM?
6:07 AM
What is 636 minutes before 10:35 AM?
11:59 PM
How many minutes are there between 5:40 AM and 6:49 AM?
69
What is 355 minutes before 3:11 AM?
9:16 PM
How many minutes are there between 3:11 PM and 6:38 PM?
207
What is 491 minutes before 10:30 AM?
2:19 AM
How many minutes are there between 4:17 PM and 8:42 PM?
265
How many minutes are there between 12:00 PM and 2:00 PM?
120
What is 292 minutes after 4:21 AM?
9:13 AM
How many minutes are there between 12:09 AM and 10:05 AM?
596
How many minutes are there between 5:49 PM and 7:52 PM?
123
What is 669 minutes before 5:49 AM?
6:40 PM
What is 423 minutes before 11:19 PM?
4:16 PM
What is 628 minutes after 9:07 AM?
7:35 PM
What is 482 minutes before 2:42 PM?
6:40 AM
What is 503 minutes before 9:34 AM?
1:11 AM
What is 166 minutes before 6:58 PM?
4:12 PM
What is 588 minutes after 5:36 PM?
3:24 AM
What is 524 minutes after 10:44 AM?
7:28 PM
How many minutes are there between 3:37 PM and 4:19 PM?
42
How many minutes are there between 3:23 PM and 9:08 PM?
345
How many minutes are there between 5:22 PM and 7:05 PM?
103
How many minutes are there between 4:31 PM and 6:50 PM?
139
What is 367 minutes before 1:27 AM?
7:20 PM
What is 255 minutes after 6:19 PM?
10:34 PM
What is 249 minutes before 1:30 PM?
9:21 AM
What is 11 minutes after 5:45 PM?
5:56 PM
How many minutes are there between 2:41 PM and 4:57 PM?
136
What is 675 minutes before 3:58 AM?
4:43 PM
What is 253 minutes after 10:46 PM?
2:59 AM
What is 679 minutes after 4:48 PM?
4:07 AM
What is 584 minutes after 1:26 AM?
11:10 AM
What is 89 minutes before 5:33 AM?
4:04 AM
How many minutes are there between 10:59 AM and 11:10 AM?
11
What is 502 minutes before 6:13 PM?
9:51 AM
How many minutes are there between 7:02 AM and 6:49 PM?
707
What is 289 minutes before 4:10 PM?
11:21 AM
How many minutes are there between 11:37 PM and 6:33 AM?
416
What is 588 minutes before 5:10 AM?
7:22 PM
How many minutes are there between 7:33 PM and 1:27 AM?
354
What is 195 minutes before 6:38 AM?
3:23 AM
What is 250 minutes before 10:27 PM?
6:17 PM
How many minutes are there between 3:23 AM and 4:19 AM?
56
How many minutes are there between 12:49 PM and 3:25 PM?
156
How many minutes are there between 6:28 PM and 9:14 PM?
166
What is 11 minutes after 1:11 AM?
1:22 AM
What is 144 minutes after 6:00 AM?
8:24 AM
How many minutes are there between 6:01 PM and 11:22 PM?
321
How many minutes are there between 1:28 AM and 11:51 AM?
623
How many minutes are there between 1:22 AM and 10:12 AM?
530
What is 60 minutes before 6:51 PM?
5:51 PM
What is 399 minutes before 3:30 PM?
8:51 AM
How many minutes are there between 3:55 AM and 6:17 AM?
142
What is 670 minutes after 4:29 PM?
3:39 AM
What is 117 minutes before 4:57 AM?
3:00 AM
How many minutes are there between 11:40 PM and 7:56 AM?
496
How many minutes are there between 3:46 AM and 5:36 AM?
110
How many minutes are there between 12:52 PM and 7:53 PM?
421
How many minutes are there between 8:09 AM and 4:36 PM?
507
How many minutes are there between 1:51 PM and 4:43 PM?
172
How many minutes are there between 9:03 AM and 1:42 PM?
279
What is 707 minutes after 12:46 PM?
12:33 AM
How many minutes are there between 7:03 PM and 11:42 PM?
279
How many minutes are there between 11:28 PM and 3:41 AM?
253
What is 679 minutes before 4:17 PM?
4:58 AM
What is 59 minutes after 9:30 PM?
10:29 PM
What is 501 minutes before 4:07 AM?
7:46 PM
How many minutes are there between 7:17 AM and 8:09 AM?
52
What is 82 minutes before 10:10 PM?
8:48 PM
How many minutes are there between 8:32 AM and 12:58 PM?
266
What is 680 minutes before 9:09 PM?
9:49 AM
How many minutes are there between 7:22 AM and 4:46 PM?
564
What is 324 minutes before 8:59 AM?
3:35 AM
What is 156 minutes before 5:07 PM?
2:31 PM
How many minutes are there between 3:01 PM and 10:44 PM?
463
What is 44 minutes before 12:11 PM?
11:27 AM
How many minutes are there between 2:51 AM and 5:42 AM?
171
How many minutes are there between 10:11 PM and 3:48 AM?
337
What is 473 minutes after 9:31 PM?
5:24 AM
What is 481 minutes before 10:26 PM?
2:25 PM
How many minutes are there between 1:46 AM and 7:57 AM?
371
What is 91 minutes before 7:52 PM?
6:21 PM
What is 374 minutes before 10:13 AM?
3:59 AM
How many minutes are there between 11:41 AM and 5:53 PM?
372
What is 572 minutes after 7:19 AM?
4:51 PM
How many minutes are there between 12:48 AM and 7:32 AM?
404
What is 27 minutes after 12:09 AM?
12:36 AM
How many minutes are there between 8:00 PM and 9:09 PM?
69
How many minutes are there between 9:38 AM and 10:29 AM?
51
What is 137 minutes after 7:46 PM?
10:03 PM
How many minutes are there between 4:58 PM and 10:02 PM?
304
What is 277 minutes before 8:10 PM?
3:33 PM
How many minutes are there between 8:59 PM and 2:53 AM?
354
How many minutes are there between 12:32 AM and 8:54 AM?
502
What is 564 minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
4238 + 4233 - 12705 - 10*k + 4220. Calculate o(-18).
166
Let g be (-6)/(-24)*(-81 + 10) - 3/(-4). Let t(d) = -2*d**3 - 37*d**2 - 49*d + 30. Determine t(g).
-4
Let u(n) be the second derivative of -n**6/120 + n**5/20 + n**4/4 + 2*n**3/3 - 67*n**2/2 - 22*n. Let l(d) be the first derivative of u(d). What is l(5)?
-16
Let l(v) = 3*v - 1. Suppose -6*y = -139 + 25. Suppose -y = -3*q + 5*n + 15, -5*n - 25 = 0. Suppose 12*p - 9*p - q = 0. What is l(p)?
2
Let x(n) = n**3 - n**2 + n + 1. Let b be 3/((-1)/(8 - -63)). Let s = b + 213. Calculate x(s).
1
Let n(r) = 115*r + 6. Let a be n(0). Let l(p) = p**2 + 8*p - 5. Let x(o) = 6*o**2 + 39*o - 26. Let t(f) = -11*l(f) + 2*x(f). Give t(a).
-21
Let f(m) be the third derivative of m**4/24 - m**3/6 - 3*m**2. Suppose 86 + 19 = 7*o. Suppose 147 = 6*b + o*b. Determine f(b).
6
Suppose -46 = 6*h + 51*h - 958. Let v(b) = b**2 - 16*b + 13. Calculate v(h).
13
Let i(h) = -8*h + 45. Let x be (0 + -3)*17/((-85)/10). Calculate i(x).
-3
Let p(i) be the third derivative of 2*i**4/3 + 2*i**3/3 - 34*i**2 - 10. Give p(2).
36
Let i(u) = -1991*u + 684. Let a(q) = 706*q - 228. Let m(b) = -17*a(b) - 6*i(b). Calculate m(-4).
-4
Let r(v) = -v**3 - 11*v**2 + v + 3. Let l(j) = 6*j**3 + 55*j**2 - 6*j - 14. Let a(s) = 2*l(s) + 11*r(s). Let t = -78 - -89. Give a(t).
-6
Suppose -4*x + 3*o = 15, 0 = 69*x - 65*x + 3*o + 9. Let a(s) = 7*s**2 - 7*s - 29. What is a(x)?
55
Let c(a) = -a**2 + 4. Let r be c(0). Suppose 2 + r = d. Let g(b) = 4 - 3*b + b + 2 + 4 - 4. What is g(d)?
-6
Let c = 2423 + -2424. Let b(k) = 2*k - 1. What is b(c)?
-3
Let y(k) = k**3 - k**2 + 4*k. Let f = 2937 + -2934. What is y(f)?
30
Let k(y) be the third derivative of 0 + 0*y + 5/12*y**4 + 1/60*y**5 - 3/2*y**3 - 70*y**2. Calculate k(-11).
2
Let z(t) = -2*t + 13. Suppose -3*l + 23 = -1. Let f(s) = 5*s - 37. Let v(h) = l*z(h) + 3*f(h). Calculate v(-4).
-3
Let a = 0 - 4. Let p be 309/21 - 4 - 2/(-7). Let z(s) = -p*s + 2*s + 2 + 5*s. What is z(a)?
18
Let c(t) be the third derivative of t**5/60 - 3*t**4/8 + 5*t**3/3 + 6*t**2. Let y(p) = 3*p**2 - p - 3. Let u be y(2). Suppose -45 = -u*l + 4. Give c(l).
-4
Let j(h) = h**3 + 15*h**2 + 55*h - 4. Let u(g) = g**3 - 47*g**2 - 375*g + 12. Let n be u(-7). Calculate j(n).
-13
Let i(z) = z**3 - 9*z**2 - 25*z + 274. Let x be i(7). Let a(n) = -17*n + 19. Calculate a(x).
2
Let l(a) = 3*a**2 - 2*a - 118480 + 118478 - 2*a**2. Give l(-3).
13
Let c(s) be the second derivative of s**4/12 + s**3/3 - 7*s**2/2 - 936*s. Determine c(-7).
28
Let m(y) = y + 11. Let k = -10181 - -10173. What is m(k)?
3
Let y(m) = -11*m + 692. Let j be y(62). Let o(z) = -z**2 + 9*z + 3. Give o(j).
-7
Let w(v) be the third derivative of v**5/60 - 19*v**4/24 + 7*v**3/3 - 2136*v**2. What is w(19)?
14
Let w(v) = v + 4. Let t be w(-3). Let k = -113 + 137. Let o(m) = 25*m - 7 - k*m + 6. Give o(t).
0
Let m(f) = 67*f**3 + 3*f**2 + f - 1. Let w be 5/(-20)*200/50. Give m(w).
-66
Let i be (-3)/90*-3 + (-1617)/770. Let w(k) be the first derivative of -4*k**3/3 + k**2/2 + k - 4. Determine w(i).
-17
Let f(c) be the first derivative of 54*c**2 - 8*c - 6987. What is f(0)?
-8
Suppose 0 = j - 49 + 51. Let o(n) = 3225*n + 0 + 3 - 3216*n. Determine o(j).
-15
Let x(j) = -5*j**2 + 2*j. Let v(b) = 51*b**2 - 21*b. Let z(d) = -2*v(d) - 21*x(d). Let h(l) = 2*l + 24. Let a be h(-13). Give z(a).
12
Let k(f) = 3*f**2 + 9*f - 17. Let i(w) = -w**2 - 3*w + 6. Let q(x) = -2*x**2 + 4*x - 7. Let r be q(2). Let n(l) = r*i(l) - 2*k(l). Calculate n(-6).
10
Let d(a) = 2006 - 5*a**2 - a**3 + 4*a**2 - a**2 - 2008 + 2*a. Let r = -78 - -75. Give d(r).
1
Let m be ((-32)/6)/(64/(-12) + 6). Let g(p) = 2*p - 12. What is g(m)?
-28
Suppose -160 - 106 = 19*w. Let y(c) = -4 - c - 1 - 2 - 3. Determine y(w).
4
Let s(x) = -5*x - 3. Let m = -2896 + 2899. Give s(m).
-18
Suppose -2*j + 14*i - 40 = 10*i, -5*j - 4*i = -26. Let u(c) = c**3 + 1 + 3*c**2 + 3*c + 1 + 1. Calculate u(j).
1
Let z(p) = -2 + 5*p**2 - 4*p**2 + 4 - 10*p. Suppose 21*i = 213 + 18. Determine z(i).
13
Let l(g) = -37*g + 8*g - 26 + 23*g + 3*g. What is l(4)?
-38
Suppose 0 = 2*s + s - 15. Suppose -5*d + 4*y + 3540 = 0, -2*d + 0*d + s*y = -1433. Let x(w) = -7*w - 704 + d. What is x(2)?
-14
Let r = -13 + 17. Suppose -4*v + r*v = -2*v. Let c(p) = p - 4*p + 5*p - 5 - p. Determine c(v).
-5
Let a(x) be the first derivative of -3*x**2/2 - 6*x + 539. Determine a(-4).
6
Suppose 3*q - 4 - 20 = 0. Let p(h) be the second derivative of h**3/6 - h**2 - 27*h - 3. Give p(q).
6
Let a(g) = -g - 1. Let v(f) = -2. Let k(n) = 2*a(n) - 3*v(n). Suppose 85 = 2*s + 3*s - 5*r, 2*r = -4*s + 56. Suppose 4*z = 1 + s. Determine k(z).
-4
Let h(g) = g**3 + 3*g**2 - 12*g + 1. Let b(m) = 2*m**3 - 44*m**2 - 43*m - 75. Let k be b(23). Give h(k).
-35
Let c be (-2)/((-8)/(-22))*2. Let u = 13 + c. Let o(w) = 5*w**3 - w**2 - 1211*w - w**2 - 4*w**3 + 1210*w + 2 - 4. Give o(u).
-4
Let v be 14/(-4)*112/(-5 - 2). Let m be v/42*15/2. Let x(g) = g**2 - 14*g + 7. What is x(m)?
-33
Suppose -4*d + 5*x - 1 + 6 = 0, 2*x = -5*d + 31. Let q(z) = -7*z**2 - 10*z + 23*z**3 - d + 12*z**3 - 34*z**3. Give q(8).
-21
Suppose 3*d - 2 = -2*m + d, 4*d + 41 = 5*m. Let c(q) = 4*q - 6. Let l(t) = 5*t - 6. Let h = -31 + 29. Let k(g) = h*l(g) + 3*c(g). What is k(m)?
4
Let z(f) = f**3 + 11*f**2 - 29*f - 12. Suppose 66*y - 24*y - 35*y + 91 = 0. Give z(y).
27
Let s(g) = g**3 + 7*g**2 - 7*g + 3. Let i(y) = -3*y**2 - 65*y + 42. Let v be i(-22). Suppose c + v*c + 168 = 0. What is s(c)?
-5
Let r be 20/4 - 21/7. Let z(l) = 6*l**2 - 10*l**2 - 4*l + 3*l**r. Give z(-2).
4
Suppose n + 2*r = 8040, -17856 - 6272 = -3*n - 4*r. Let x(h) = -3*h - 8058 + 2*h + n. Determine x(-5).
-5
Let i(a) = -139*a**2 + 59*a + 112. Let c(r) = -56*r**2 + 29*r + 56. Let p(x) = 5*c(x) - 2*i(x). Calculate p(15).
11
Let p(a) = -a**2 - a - 1. Let u(f) = -4*f**2 + 3*f - 4. Let h(q) = -3*p(q) + u(q). Let n(t) = -t**3 - 50*t**2 + 340*t + 231. Let s be n(-56). Give h(s).
-8
Let q(p) = p**2 - p - 11. Suppose -13*x - 18 - 14 = 7. What is q(x)?
1
Let u be 1 + -1 - (-3 - -3). Let s(l) = -l**3 - 7*l**2 + 4*l + 4. Let h(f) = -f**3 - 9*f**2 + 5*f + 3. Let x(r) = 3*h(r) - 4*s(r). Calculate x(u).
-7
Let t(i) = i + 5. Let m be t(-2). Suppose 0 = 11*n - 2*n. Suppose 7 = -m*g + 2*x - 6*x, -5*x - 5 = n. Let y(p) = 3*p**2 + 2*p + 1. Give y(g).
2
Suppose 42 = -23*o + 30*o. Suppose -27*g - o = -28*g. Let a(m) be the second derivative of m**4/12 - 7*m**3/6 + 9*m**2/2 + m. Calculate a(g).
3
Let w(a) = -a**3 - 7*a**2 - 5*a. Suppose 13 = -2*y - 9*g, 2*g - 13 = 5*y + 5*g. Give w(y).
-10
Let h(a) = a**3 + a**2 + a + 67. Suppose -11*w = 13*w - w. Give h(w).
67
Let v(i) be the second derivative of -i**3 + i**2/2 + 3*i - 20. Suppose -478 + 370 = -12*r. Give v(r).
-53
Suppose 0 = -t - t - 4*t. Let j(f) be the first derivative of f**2/2 + 31*f + 749. Calculate j(t).
31
Let g(y) = 2*y**2 - 4*y - 22. Let b(p) = 11*p**2 - 26*p - 109. Let a(l) = 3*b(l) - 16*g(l). Calculate a(12).
1
Suppose 6*r + 1547 = 13*r. Let z = r + -226. Let s(x) = -x - 8. Determine s(z).
-3
Let o(w) = 54*w + 55. Let y(d) = -31. Let i(t) = o(t) + 2*y(t). What is i(0)?
-7
Let c(a) = -a**2 + 3*a. Suppose -w + 0*w + 2*f = 36, 2*w - 5*f + 73 = 0. Let g = w + 36. Let i(p) = p**2 - 3*p + 5. Let b be i(g). Determine c(b).
0
Suppose 42 - 116 = -q. Let m = q + -56. Let d(j) = -m*j - 15*j + 32*j. Calculate d(-4).
4
Suppose -10 = 8*c - 58. Let i(d) = -9 - 11*d**2 + c + d - 10*d + 6 - d**3. What is i(-10)?
-7
Suppose 2*v - 50 + 7 = 3*i, 4*i + 50 = -v. Let y(d) = -17*d - 41. Let c(t) = -8*t - 19. Let f(w) = i*c(w) + 6*y(w). Calculate f(-4).
-7
Let l(c) be the second derivative of c**4/12 - 3*c**3 - 9*c**2/2 - 36*c - 3. Calculate l(13).
-74
Let o(b) = -3*b**2 + 3*b - 2. Let j be ((-156)/16)/3 - 31/(-124). What is o(j)?
-38
Suppose 4*v - 14 = -0*q + 3*q, 20 = 4*v. Let l(g) = 3554*g - 1717*g - 1842*g + 2. What is l(q)?
-8
Suppose -7*y - 5*y = -24. Let f(v) = y*v + 0*v**3 + 5 + 0*v - v + 3*v**2 - v**3 + v**2. Calculate f(5).
-15
Let z = -28611 + 28615. Let x(o) = -2*o**2 + 4*o + 5. What is x(z)?
-11
Let m = 2 - 1. Let r(d) = d**2 - 44*d + 160. Let s be r(40). Let v(g) = 3*g - 5*g + s*g + g - 1. Give v(m).
-2
Let d(m) = -m**3 - 15*m**2 + 33*m - 19. Let q be -20 + ((-3)/(-6))/(5/30). Give d(q).
-2
Let a(x) be the third derivative of 5*x**4/12 + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
4*r = -n - x for n.
1
Suppose 2*m - 4 = -2*x + 5*m, -2*m + 8 = 0. Suppose 4*w + 5*c = -0*c - x, 2*w = -c + 2. Solve -3*d + 12 = 0, 10 + 8 = -2*t + w*d for t.
-3
Let s(i) = 7*i + 5*i - 14*i - 19. Let j be s(-11). Solve 3*l - 2*h = 2*l + j, 0 = -5*h + 5 for l.
5
Let s be 22 + (2 - 3)*2. Let o(t) = -t**2 - 3*t + 1. Let j be o(-5). Let d = -4 - j. Solve 0*c = 5*c + 20, -d*c - s = -f for f.
0
Let z = 34 - 25. Suppose 3*l - 6 = z. Suppose -l = -2*g + 3. Solve 5*k - g*b + 8*b = -31, 3*k + 3*b + 21 = 0 for k.
-3
Suppose 0 = 13*p - 8*p - 90. Suppose -14*x + p*x - 52 = 0. Solve 0 = 3*o + 2*v - v + x, 3*o - 3*v - 3 = 0 for o.
-3
Suppose 0 = 3*s - 5*y - 22, -2*y + 28 = 5*s - 6*y. Let v be s/(-4) - (-1)/1. Suppose 3*n - 15 + 0 = v. Solve n*a = -15, 0*a - 5*a = 5*p + 10 for p.
1
Let o be ((1 - 0) + 2)/1. Let y(h) = 11*h + 16. Let l(k) = -5*k - 7. Let s(x) = -7*l(x) - 3*y(x). Let u be s(7). Solve u = 3*j + o*g, 0*j + 3 = 2*j - 5*g for j.
4
Let r(j) = -j**3 - 2*j**2 - 2*j - 1. Let z be r(-2). Suppose z*k + 15 = -24. Let x be (-63)/k + (-4)/(-26). Solve 2*t - 19 = 2*y + 3*y, y - x = -4*t for t.
2
Let a(r) = 2*r**2 + 17*r - 7. Let i be a(-9). Suppose 2*g = -5*m + 7 + 2, -5*g + 4*m + 6 = 0. Solve c = i*c + 4*k - 2, -g*c - k = 3 for c.
-2
Suppose -5*y = -9*y. Solve 3*n = l - 11, y*l + l - 7 = 2*n for n.
-4
Suppose -7 = -4*d - 3*s, -6*s + 9*s - 6 = -3*d. Solve -n = 5*m, -4*n + 5*m + 26 = d for n.
5
Suppose 0 = -4*a - 5*g + 41, -3*a + 2*a + 29 = 5*g. Let y(o) = -81*o + 731. Let r be y(9). Solve a*u = r*d + 14, 0 = -d + 4*d - 9 for u.
5
Suppose -3*v + 5 = -2*u, -v - 2*u - u = -9. Let c be 2/6*(38 + 1/1). Suppose 3*w - w = 8. Solve -h + c = w*b, 2*b = -h + v*h + 4 for h.
1
Let h be (2 - 2)/(-4) - (-6 + 2). Let d(y) = 2*y**2 + 5*y - 42. Let z be d(h). Solve -3*m = 2*m - z, -u = -m - 2 for u.
4
Let c(n) = n**2 + 21*n + 3. Let f be c(-21). Let m be (-4)/5*(-20)/8. Solve -2*d + f*d = m*t - 13, -2*d = 10 for t.
4
Let w be (50/60)/(1/6). Let k = -30 + 21. Let c = 12 + k. Solve 3*g = -w*f - 5, f - 4*f - g = c for f.
-1
Suppose 16 = 4*u - 2*u. Suppose -u*m = -12*m. Suppose -4*z + 3*z + 16 = 3*p, 0 = 2*p - 4*z - 6. Solve -p*i - 11 = 3*l - m*l, l - 7 = i for l.
3
Suppose -r = 3*t + 6, 2*r - t = -3*t - 4. Solve -2*l + 2*i = -l - 6, r = -2*i - 8 for l.
-2
Suppose 0*p + 154 = 22*p. Solve -p = -2*n + 3, -5*n = -5*z for z.
5
Suppose v - 2*o = -v + 8, 0 = 5*v + 4*o - 29. Let k = 27 + -27. Solve -3*j + v*h + 20 + 0 = k, j + 2*h + 8 = 0 for j.
0
Suppose t + 5 = 2*t. Suppose t*u = 8*u. Suppose 4*q - 25 + 1 = u. Solve -5*w - 5*j = 30, -q*w + 5*j = -w - 20 for w.
-1
Suppose -2*b - 10 = 10. Let k be (-1 - 0)/3 + b/(-3). Suppose j - 2*v + 7 = 3*v, 0 = -2*j + 3*v + 7. Solve 2*q = -3*s + 17, -k*q - 2*q + j = -4*s for s.
3
Suppose -4*g + 5 = g, -5*g + 9 = i. Suppose 3*n - 2*x = 2*x + 35, 2*n = -i*x - 10. Solve 3*v - 4*o + 24 = -0*o, n*v + 5*o + 5 = 0 for v.
-4
Suppose 5*g - 23 = -2*r, 5*r - 15 = -3*g + 14. Solve r*q - 2*q + 5*v + 9 = 0, 4*v = -4 for q.
-2
Let w be 70/30 + (-18)/(-27). Solve 3*u - 12 = -w*b - 0*b, 2*b - 10 = 0 for u.
-1
Let t be 2*(162/4)/9. Solve -4*r + y = 2*y + 1, -4*r + y + t = 0 for r.
1
Let h(v) = 3*v**2 - 99*v + 112. Let p be h(32). Solve 0 = -2*j + 2*a - p, a + 1 + 1 = -j for j.
-5
Let q(b) = 3*b**2 - 52*b + 17. Let w be q(17). Solve -2*u - 2*u = -3*j + 2, u + 2*j - 5 = w for u.
1
Suppose -4*p = -t - t + 54, -5*t - 4*p + 163 = 0. Suppose -13*q + 21 = -t. Solve 0*w = -q*d + 2*w + 4, -3*d = 5*w - 3 for d.
1
Suppose -21 = -2*j + 4*v - 83, -5*j = 5*v + 185. Let w = j + 45. Solve -5*d + 3*s = 2*s + w, -2*d + 3*s - 4 = 0 for d.
-2
Suppose 0 = -3*l + 12, -4*v + 0*v = -2*l - 24. Solve n = 3*a - 7, 2*a = 6*a - v for n.
-1
Let c = 0 - -2. Let h(y) = 6*y + 13. Let w be h(-7). Let m be (-6)/15*(w + -1). Solve -3*b - 4*o = -m, 0 = -2*o - c*o for b.
4
Let o = 372 + -367. Solve 21 - 6 = -o*m - 5*a, -3*m + 3*a - 15 = 0 for m.
-4
Let d(p) = 16*p - 1. Suppose o = 4*a - 11, 5*o + 2*a + a = 14. Let x be d(o). Suppose -2*k = -57 + x. Solve 5*u + 0*i - 22 = 2*i, -5*i - k = -4*u for u.
4
Let m(f) = f**3 + 7*f**2 - 5*f + 32. Let g be m(-8). Solve -h + 10 = -2*y, 3*y + 9*h + g = 7*h for y.
-4
Suppose 6*i - 382 = 44. Let u = i + -69. Solve 0 = -u*d - 2*y + 6*y + 2, -25 = 2*d + 5*y for d.
-5
Let u be (-2 - -2) + 11 + -7. Let g(i) = 2*i**2 - 2*i. Let k be g(u). Solve q + 0*s = 2*s - 12, -3*s + k = -3*q for q.
-4
Let h be 60/50*(-1 - 4). Let f be ((-12)/(-15))/(h/(-75)). Suppose 5*i = 3*l, 0 = 4*l + 5*i - f*i. Solve 0 = -2*m - 3*j - 16, -3*m - 5*j - 26 = -l*j for m.
-2
Let x be ((-145)/(-40) - (-3)/8)*1. Solve -2*s - x*c = -4*s + 4, -4*s = -2*c + 4 for s.
-2
Let l(k) = -k**3 + 9*k**2 - 13*k + 20. Let a be l(8). Let j be (a/(-8))/(15/36). Solve 3*d - 2 = j*d + 2*n, 5*d + 5*n + 5 = 0 for d.
0
Suppose -6*i + 10 = -i. Solve 0*k = h + 4*k + 2, i*k - 6 = 3*h for h.
-2
Let l = -21 + 5. Let b = -13 - l. Solve -v - 10 = -4*a, -3*a - b*v - 14 = -7*a for a.
2
Let f = 116 - 164. Let w = f - -53. Solve -3*n + w*o = -0 + 10, -4*n + 4*o = 0 for n.
5
Let h be (-2)/(-6) + (-15)/(-9). Suppose h*u + 16 = 4*u. Let b = 20 - u. Solve b = -7*j + 2*j - g, -5*j - 4*g = 3 for j.
-3
Let p be (1/2 - 1)*-2 - -3. Suppose 0 = 3*q - p*u - 52, q + 0*u = -4*u + 28. Solve -4*j + 0*j = -q, 3*n - 4 = j for n.
3
Let p be (42/(-12))/((-1)/(-2 - -4)). Solve 2*m + 9 = -3*j, j - 2 = 8*m - p*m for j.
-1
Let h = -205 - -300. Suppose -5*k + h = -i, -2*k + 7 + 31 = -5*i. Solve -3*d = 5*u - 1, k = -4*d - d + 2*u for d.
-3
Suppose 2*m - 5*u = -m + 62, 0 = m + 2*u - 17. Suppose 4 - m = -b - 3*k, 2*k - 23 = -5*b. Suppose 6*p - b*p = 0. Solve 3*f - 6 = 2*y - p*y, 0 = -5*f for y.
-3
Let g(r) = r**3 - r**2 - r + 2. Let d be g(2). Suppose 1 = d*a - 7. Suppose -3*k - 7 = -3*q - a*k, 2*q = k + 3. Solve 20 = q*v, -2 = -5*y + v + 8 for y.
3
Let s(c) = -2*c**3 - 34*c**2 + 37*c + 21. Let y be s(-18). Solve 5*b = a + b + 9, -12 = -a - y*b for a.
3
Let g(v) = -v + 15. Let b be g(-7). Let i = 25 - b. Solve 0 = i*a - 2*a + 5*r, 5*r = -5*a for a.
0
Let d(l) = -l**2 + 12*l - 9. Let t be d(11). Let o = 23 + -13. Let j = o - t. Solve -4*s = -4*w + j, -w + 28 = -5*w - 5*s for w.
-2
Suppose -2*l + 0*l + 12 = 0. Suppose -4*m = -7*m + l. Solve -j = -4*w + 7, m - 9 = -3*j - 2*w for j.
1
Suppose -127*h + 2 = -125*h. Solve 0 = -2*d + d + 1, -v = -3*d - h for v.
4
Let n = 16 - 14. Suppose 5*z = 3*x - n - 8, 3*x = -4*z + 19. Solve -5*m - 7 = 2*i, -z + 2 = -4*i + 3*m for i.
-1
Let j(l) be the first derivative of -l**4/4 - l**3 + l**2 - 5*l - 3. Suppose -12*f + 12 = 60. Let d be j(f). Solve -d*z - 2*z + 50 = 5*g, -2*g = -10 for z.
5
Suppose 27*t = 24*t + 24. Solve -3*v - h - t = 0, -5*h = -2*v - 0*v + 6 for v.
-2
Let v be -4 + 335/50 + 3/10. Solve -5*u + 16 = -40*g + 41*g, -v*g - 8 = u for u.
4
Suppose 25 = -5*f + 5*g, -5*g + 1 = -3*f - 24. Solve 5*p + 4*z + 7 = 0, p + f = -4*z + 5 for p.
-3
Let f = 7 + -19. Let l(c) be the second derivative of c**3/6 + 7*c**2 + c. Let h be l(f). Solve -5*i - 2 - 2 = -4*u, 0 = -h*u + 2*i for u.
-4
Let o(l) = l**3 + 8*l**2 + 6*l - 4. Let a be o(-7). Let f = a + 29. Let b = -18 + f. Solve 0 = -3*y + 2*j - 12, -j - 3*j = -y - b for y.
-2
Let s(v) = 3*v - 23. Let f(x) = -x + 6. Let o be f(-3). Let l be s(o). Solve -2*d + 15 - 5 = 5*c, -l*c = -d + 5 for d.
5
Let m = -26 + 25. Let k be 1/(m/12*-3). Solve k*v - 9 = -3*j + 14, 4*v - 21 = -j for j.
1
Let z(y) = -y**2 + 10*y - 7. Let l be z(9). Let b be (-80)/(-3) + (-1)/(-3). Solve 5*k = -l*d - b, 4*k - 2*d + 8 = -10 for k.
-5
Let l be -2 - (1 - 3)*(1 - 0). Solve -s - 3*g = -l*s - 15, 5*s = -2*g + 23 for s.
3
Let i be 74/14 + (-15)/((-840)/(-16)). Solve -4*g + 8 = -4*r, 0*r - i = -4*g + r for g.
1
Suppose 40*z - 140 = 30*z. Solve -d = y + 3 - 5, 0 = -3*y + d + z for y.
4
Let z be ((-4)/(-38))/((-20)/(-380)). Solve -j + 4*r + 17 = 0, -3*j + 2*r = -z*j - 9 for j.
1
Let y = -61 - -52. Let n be (-16)/((-3)/y - 1). Solve 5*c + n = -x, -4*c + c = x + 14 for x.
1
Suppose -2*l + 22 = j, j + 55 = 5*l - 2*j. Solve 2*v - 3*o - l - 4 = 0, -2*v - 2*o - 10 = 0 for v.
0
Suppose 0 = -19*t + 17*t. Solve q + 6 = 2*n, 5 = n - t*n for q.
4
Let c = -32 - -12. Let j = -20 - c. Suppose 8 = -j*b + b - 3*p, b = -4*p - 6. Solve -2*m + 2 = l + b*l, 0 = 2*l + 4*m + 12 for l.
4
Let x be (-2)/(-6) + (-1)/3. Solve -3*p - 5*q
|
{
"pile_set_name": "DM Mathematics"
}
|
r**2 - 105*r - 63
What is the w'th term of -427, -593, -861, -1225, -1679?
w**3 - 57*w**2 - 2*w - 369
What is the i'th term of 69, 151, 245, 351, 469, 599, 741?
6*i**2 + 64*i - 1
What is the x'th term of 111039, 222078, 333117?
111039*x
What is the a'th term of 571, 1169, 1767?
598*a - 27
What is the c'th term of 86, -19, -506, -1567, -3394, -6179?
-32*c**3 + c**2 + 116*c + 1
What is the o'th term of -1676, -6929, -15756, -28157, -44132, -63681, -86804?
-1787*o**2 + 108*o + 3
What is the n'th term of -57670, -57686, -57702, -57718, -57734, -57750?
-16*n - 57654
What is the n'th term of -302455, -604909, -907363, -1209817?
-302454*n - 1
What is the k'th term of 12544, 25104, 37666, 50230?
k**2 + 12557*k - 14
What is the h'th term of -312, -453, -696, -1047, -1512?
-h**3 - 45*h**2 + h - 267
What is the z'th term of -70190, -140371, -210552, -280733, -350914, -421095?
-70181*z - 9
What is the z'th term of 80, 276, 616, 1100, 1728, 2500, 3416?
72*z**2 - 20*z + 28
What is the g'th term of 63, 308, 913, 2058, 3923, 6688, 10533?
30*g**3 + 35*g - 2
What is the k'th term of 1515, 3076, 4637, 6198?
1561*k - 46
What is the o'th term of -1434, -2900, -4366, -5832, -7298, -8764?
-1466*o + 32
What is the z'th term of 198, 1016, 2380, 4290, 6746?
273*z**2 - z - 74
What is the o'th term of 19, 45, 93, 157, 231, 309, 385?
-o**3 + 17*o**2 - 18*o + 21
What is the o'th term of -41, -196, -567, -1262, -2389, -4056, -6371?
-18*o**3 - 29*o + 6
What is the w'th term of 66, 150, 222, 282, 330, 366?
-6*w**2 + 102*w - 30
What is the u'th term of -576, -703, -830, -957?
-127*u - 449
What is the x'th term of -11046, -22065, -33072, -44067, -55050, -66021, -76980?
6*x**2 - 11037*x - 15
What is the m'th term of -120, -425, -730, -1035?
-305*m + 185
What is the a'th term of 278, 1029, 2082, 3275, 4446, 5433, 6074?
-27*a**3 + 313*a**2 + a - 9
What is the f'th term of 9110, 9114, 9118, 9122?
4*f + 9106
What is the v'th term of -4783, -4781, -4779, -4777, -4775, -4773?
2*v - 4785
What is the v'th term of -21, -122, -377, -864, -1661, -2846?
-13*v**3 + v**2 - 13*v + 4
What is the k'th term of 412, 804, 1854, 3886, 7224, 12192?
54*k**3 + 5*k**2 - k + 354
What is the n'th term of -2264, -2148, -2034, -1922, -1812, -1704?
-n**2 + 119*n - 2382
What is the g'th term of 15, 205, 697, 1641, 3187, 5485?
25*g**3 + g**2 + 12*g - 23
What is the z'th term of 818, 3987, 9260, 16631, 26094?
-z**3 + 1058*z**2 + 2*z - 241
What is the g'th term of 596, 614, 644, 686, 740, 806, 884?
6*g**2 + 590
What is the z'th term of 7593, 15186, 22779?
7593*z
What is the v'th term of 7291, 29286, 65987, 117394?
7353*v**2 - 64*v + 2
What is the c'th term of 169254, 338361, 507478, 676611, 845766, 1014949, 1184166?
c**3 - c**2 + 169103*c + 151
What is the i'th term of -3851, -3943, -4105, -4343, -4663, -5071, -5573?
-i**3 - 29*i**2 + 2*i - 3823
What is the m'th term of -763, -1509, -2257, -3007, -3759, -4513, -5269?
-m**2 - 743*m - 19
What is the n'th term of 3658, 3690, 3780, 3958, 4254, 4698?
5*n**3 - n**2 + 3654
What is the z'th term of 9, 66, 139, 234, 357, 514?
z**3 + 2*z**2 + 44*z - 38
What is the x'th term of 5126, 5121, 5102, 5063, 4998, 4901, 4766, 4587?
-x**3 - x**2 + 5*x + 5123
What is the h'th term of -8548555, -8548553, -8548551, -8548549, -8548547?
2*h - 8548557
What is the j'th term of -1364875, -1364874, -1364873?
j - 1364876
What is the y'th term of 42, 6, -136, -438, -954, -1738, -2844?
-9*y**3 + y**2 + 24*y + 26
What is the n'th term of 3288, 2926, 2564?
-362*n + 3650
What is the f'th term of 181, 790, 1909, 3622, 6013?
14*f**3 + 171*f**2 - 2*f - 2
What is the j'th term of 44, 391, 1350, 3227, 6328, 10959, 17426, 26035?
51*j**3 - 10*j + 3
What is the d'th term of 31206, 124826, 280856, 499296, 780146, 1123406?
31205*d**2 + 5*d - 4
What is the c'th term of 83067, 83082, 83095, 83106, 83115, 83122, 83127?
-c**2 + 18*c + 83050
What is the a'th term of -158965, -158963, -158961, -158959?
2*a - 158967
What is the r'th term of -31, -96, -211, -376, -591, -856, -1171?
-25*r**2 + 10*r - 16
What is the m'th term of 15017, 30030, 45043, 60056?
15013*m + 4
What is the j'th term of -119, -690, -2125, -4820, -9171, -15574, -24425?
-66*j**3 - 36*j**2 - j - 16
What is the x'th term of -162, -1456, -4976, -11838, -23158, -40052?
-186*x**3 + 3*x**2 - x + 22
What is the m'th term of -112887, -112889, -112891, -112893, -112895?
-2*m - 112885
What is the i'th term of -3594, -3593, -3592?
i - 3595
What is the h'th term of 861, 808, 755?
-53*h + 914
What is the c'th term of 22289, 44529, 66769, 89009, 111249?
22240*c + 49
What is the s'th term of -213932, -213931, -213930, -213929, -213928?
s - 213933
What is the s'th term of 17489, 17473, 17461, 17453, 17449?
2*s**2 - 22*s + 17509
What is the d'th term of -745216, -745208, -745200, -745192, -745184?
8*d - 745224
What is the w'th term of 1439277, 1439276, 1439275, 1439274, 1439273, 1439272?
-w + 1439278
What is the v'th term of -64485, -64473, -64461, -64449?
12*v - 64497
What is the r'th term of -1193, -1477, -1761, -2045?
-284*r - 909
What is the m'th term of -216, -5, 342, 825, 1444, 2199, 3090?
68*m**2 + 7*m - 291
What is the c'th term of 287671, 287664, 287655, 287644, 287631, 287616, 287599?
-c**2 - 4*c + 287676
What is the z'th term of -433, -854, -1275, -1696, -2117?
-421*z - 12
What is the i'th term of -4877, -39148, -132209, -313454, -612277, -1058072?
-4899*i**3 - i**2 + 25*i - 2
What is the h'th term of -178, -47, 74, 179, 262, 317?
-h**3 + h**2 + 135*h - 313
What is the s'th term of -659, -587, -515, -443, -371, -299?
72*s - 731
What is the m'th term of 94, 491, 1242, 2419, 4094, 6339?
12*m**3 + 105*m**2 - 2*m - 21
What is the a'th term of 56516, 113042, 169568?
56526*a - 10
What is the q'th term of 497, 1024, 1563, 2120, 2701, 3312, 3959?
q**3 + 520*q - 24
What is the d'th term of 629, 846, 1063, 1280, 1497?
217*d + 412
What is the f'th term of -211547, -211556, -211565?
-9*f - 211538
What is the a'th term of 328, 396, 554, 844, 1308, 1988, 2926?
7*a**3 + 3*a**2 + 10*a + 308
What is the p'th term of 6945, 13882, 20815, 27744, 34669, 41590?
-2*p**2 + 6943*p + 4
What is the m'th term of 1106, 1097, 1080, 1055?
-4*m**2 + 3*m + 1107
What is the f'th term of 576, 517, 374, 105, -332, -979, -1878, -3071?
-7*f**3 - 10*f + 593
What is the n'th term of 5097, 8920, 12745, 16572, 20401, 24232, 28065?
n**2 + 3820*n + 1276
What is the x'th term of -944, -929, -898, -851, -788, -709?
8*x**2 - 9*x - 943
What is the y'th term of -25442, -25424, -25406, -25388, -25370, -25352?
18*y - 25460
What is the j'th term of -1457634, -1457639, -1457646, -1457655, -1457666, -1457679, -1457694?
-j**2 - 2*j - 1457631
What is the y'th term of 120, 205, 286, 363?
-2*y**2 + 91*y + 31
What is the r'th term of -110422, -110400, -110370, -110338, -110310, -110292, -110290?
-r**3 + 10*r**2 - r - 110430
What is the f'th term of 445, 3513, 11825, 27997, 54645, 94385, 149833?
436*f**3 + 6*f**2 - 2*f + 5
What is the u'th term of -49126, -49121, -49116, -49111, -49106, -49101?
5*u - 49131
What is the k'th term of -22632749, -22632748, -22632747?
k - 22632750
What is the b'th term of 47, 140, 323, 602, 983?
b**3 + 39*b**2 - 31*b + 38
What is the u'th term of -92, -178, -302, -482, -736, -1082, -1538, -2122?
-3*u**3 - u**2 - 62*u - 26
What is the y'th term of 164361, 328717, 493069, 657417, 821761, 986101?
-2*y**2 + 164362*y + 1
What is the o'th term of -163641, -163640, -163639?
o - 163642
What is the d'th term of -120, -236, -344, -444, -536?
4*d**2 - 128*d + 4
What is the c'th term of 221, 345, 373, 305, 141, -119, -475?
-48*c**2 + 268*c + 1
What is the w'th term of 3580, 7118, 10630, 14116, 17576?
-13*w**2 + 3577*w + 16
What is the v'th term of -124, -11, 86, 173, 256, 341, 434, 541?
v**3 - 14*v**2 + 148*v - 259
What is the u'th term of 107, 156, 227, 320, 435, 572?
11*u**2 + 16*u + 80
What is the x'th term of 67749, 67718, 67667, 67596, 67505, 67394?
-10*x**2 - x + 67760
What is the s'th term of -371, -712, -1025, -1310, -1567, -1796?
14*s**2 - 383*s - 2
What is the y'th term of -6270, -50117, -169132, -400899, -783002, -1353025, -2148552, -3207167?
-6264*y**3 + y - 7
What is the l'th term of 1503213, 1503209, 1503203, 1503195?
-l**2 - l + 1503215
What is the a'th term of -126, -81,
|
{
"pile_set_name": "DM Mathematics"
}
|
t) = -8*t**3 + 12*t**2 + 149*t - 748. Give g(5).
-703
Let s(p) = 21*p**3 - 4*p**2 + 4*p - 9. What is s(-3)?
-624
Let o(r) = -r**2 - 86*r + 899. Calculate o(-94).
147
Let o(l) = -158*l - 47. Calculate o(-4).
585
Let s(j) = 34*j**2 - 374*j + 17. What is s(11)?
17
Let h(v) = -9*v**3 + 146*v**2 + 15*v + 11. Calculate h(16).
763
Let y(w) = -27*w**3 + w**2 - 4*w - 6. What is y(-2)?
222
Let x(f) = 4*f**2 - 7*f - 106. Calculate x(9).
155
Let g(z) = 3*z**3 - 268*z**2 + 88*z + 76. What is g(89)?
-13
Let j(l) = -10*l**2 - 718*l - 560. Determine j(-71).
8
Let f(z) = -10*z**2 + 25*z - 61. Give f(3).
-76
Let h(f) = 224*f + 5812. Give h(-26).
-12
Let l(p) = p**3 + 30*p**2 - 92*p + 295. Determine l(-33).
64
Let v(d) = 2*d**3 + 11*d**2 + 32*d + 23. What is v(-2)?
-13
Let m(h) = -5*h**2 - 10*h - 41. Give m(-5).
-116
Let s(i) = 36*i**2 + 1295*i + 14. Give s(-36).
50
Let t(d) = -d**3 - 53*d**2 - 48*d + 216. Calculate t(-52).
8
Let a(d) = d**2 + 28*d + 141. Determine a(-6).
9
Let p(n) = 410*n + 14356. What is p(-35)?
6
Let k(g) = 5*g**2 - 689*g + 555. Calculate k(137).
7
Let u(w) = -2*w**3 - 17*w**2 - 50*w - 345. What is u(-8)?
-9
Let l(z) = -z**2 - 501*z + 13709. Give l(26).
7
Let a(d) = 85*d - 4879. Give a(50).
-629
Let k(g) = -g**3 - 92*g**2 - 2098*g - 362. What is k(-51)?
-5
Let w(p) = -p**2 + 899*p + 10015. Give w(-11).
5
Let k(d) = 2*d**3 - 28*d**2 - 31*d + 38. What is k(15)?
23
Let x(y) = 24*y**2 + 232*y - 89. Give x(-10).
-9
Let o(x) = -417*x - 34. What is o(0)?
-34
Let l(k) = 81*k**2 + 565*k - 2. Calculate l(-7).
12
Let c(m) = -51*m - 3537. Calculate c(-83).
696
Let y(w) = w**2 + 86*w + 1819. Give y(-49).
6
Let p(i) = -i**2 - 12*i. Give p(-14).
-28
Let v(p) = -364*p - 1818. Calculate v(-5).
2
Let x(m) = -m**3 - 48*m**2 - 410*m - 104. What is x(-37)?
7
Let x(n) = -102*n + 432. What is x(1)?
330
Let b(q) = q**3 - 142*q**2 - 582*q - 279. Calculate b(146).
13
Let s(a) = 860*a - 19756. What is s(23)?
24
Let f(w) = 221*w - 6151. Calculate f(28).
37
Let o(b) = 8*b**2 - 10*b - 3. What is o(0)?
-3
Let o(w) = -7424*w - 96514. What is o(-13)?
-2
Let v(g) = g**2 - 2*g - 459. Calculate v(0).
-459
Let w(v) = -v**3 + 45*v**2 - 88*v - 20. Calculate w(43).
-106
Let a(u) = 3*u**2 + 14*u - 142. Calculate a(6).
50
Let w(t) = t**3 - 56*t**2 - 309*t + 247. Determine w(61).
3
Let n(k) = 18*k**2 + 874*k + 482. Determine n(-48).
2
Let l(j) = -j**3 - 7*j**2 + 48*j + 46. Calculate l(-12).
190
Let p(k) = -2*k**2 - 859*k + 14261. Determine p(16).
5
Let d(o) = o**3 - 2*o**2 - 16*o + 49. Determine d(-7).
-280
Let p(j) = -j**2 + 52*j - 348. Determine p(42).
72
Let b(x) = x**3 - x**2 - 22*x + 3. What is b(5)?
-7
Let g(h) = h**2 + 6*h - 220. Calculate g(-20).
60
Let h(a) = -119*a - 318. Calculate h(-3).
39
Let i(j) = 2*j**2 - 754*j + 50057. Calculate i(291).
5
Let j(a) = -12*a**3 + 96*a**2 + 5*a - 4. Calculate j(8).
36
Let z(x) = 107*x - 116. Calculate z(3).
205
Let y(v) = -v**3 + 77*v**2 - 360*v - 29. Determine y(72).
-29
Let l(f) = -191*f + 4969. What is l(26)?
3
Let u(n) = 2*n**2 + 65*n - 83. Calculate u(-37).
250
Let z(o) = 4*o**2 + 22*o - 30. What is z(-7)?
12
Let v(q) = 1117*q - 11172. Calculate v(10).
-2
Let o(q) = 684*q - 23940. Determine o(35).
0
Let o(v) = 76*v - 125. Determine o(3).
103
Let p(a) = a**3 + 64*a**2 + 252*a - 2527. What is p(-59)?
10
Let b(x) = -8*x**2 - 65*x - 54. Give b(-7).
9
Let n(f) = -4538*f - 54455. Determine n(-12).
1
Let m(u) = -u**2 + 7*u - 139. Determine m(12).
-199
Let g(t) = t**2 - 95*t + 1320. Give g(81).
186
Let d(y) = 60*y + 1804. What is d(-30)?
4
Let g(v) = v**2 + 22*v + 169. Give g(-7).
64
Let f(g) = g**2 + 119*g - 359. Determine f(3).
7
Let o(r) = -272*r + 672. Determine o(4).
-416
Let h(f) = -10*f**2 + 2428*f + 9871. Calculate h(-4).
-1
Let d(k) = 3*k**2 - 77*k + 287. Give d(21).
-7
Let x(q) = 1213*q - 351. What is x(1)?
862
Let l(k) = -k**3 - 21*k**2 + 9*k + 602. What is l(-19)?
-291
Let g(u) = u**3 - 4*u**2 - 5*u - 8. What is g(5)?
-8
Let u(k) = -5*k**2 - 63*k + 867. Calculate u(8).
43
Let u(o) = 650*o + 14928. Give u(-23).
-22
Let t(u) = 29*u - 4351. Calculate t(150).
-1
Let j(c) = 2360*c + 19. Give j(0).
19
Let p(i) = 110*i + 2293. Give p(-21).
-17
Let b(z) = z**2 + 30*z + 18. Determine b(-14).
-206
Let x(l) = -l**2 + 120*l - 826. Give x(113).
-35
Let q(l) = 6*l**2 + 184*l - 10. What is q(-32)?
246
Let v(a) = -3*a**2 - 39*a + 169. Calculate v(-20).
-251
Let f(h) = 2*h**3 - 7*h**2 + 63*h - 97. Give f(2).
17
Let i(p) = 2*p**3 + 134*p**2 - 4*p - 269. Determine i(-67).
-1
Let m(r) = -r**3 + 127*r**2 - 170*r - 10000. Give m(125).
0
Let y(m) = 96*m**3 + m**2 - 3*m - 1. Give y(-2).
-759
Let p(a) = 5*a**2 - 286*a - 533. What is p(59)?
-2
Let w(d) = -25*d - 2940. Determine w(-118).
10
Let d(y) = -y**3 + 44*y**2 - 86*y - 68. Determine d(42).
-152
Let s(b) = b**3 + 59*b**2 - 4*b - 261. What is s(-59)?
-25
Let d(y) = -9*y + 843. What is d(98)?
-39
Let b(u) = -u**3 - 65*u**2 - 181*u + 312. Give b(-62).
2
Let y(c) = -34*c**2 - 303*c + 20. What is y(-9)?
-7
Let k(d) = 1014*d + 11157. What is k(-11)?
3
Let r(f) = 4*f**2 + 169*f - 171. Give r(1).
2
Let y(f) = 2*f**3 - 83*f**2 - 46*f + 176. Calculate y(42).
8
Let u(q) = -4*q**3 + 97*q**2 + 80*q - 41. Give u(25).
84
Let m(d) = -4*d**2 - 59*d - 20. Give m(-18).
-254
Let b(k) = 154*k + 3694. Calculate b(-24).
-2
Let j(m) = -m**2 + 10*m + 612. Give j(30).
12
Let z(d) = -d**2 - 709*d + 3571. Calculate z(5).
1
Let w(d) = 3*d**3 - 20*d**2 + 5*d + 8. What is w(8)?
304
Let q(m) = -250*m - 1995. Calculate q(-8).
5
Let x(u) = u**2 + 33*u - 559. What is x(-45)?
-19
Let k(y) = -32*y - 566. Calculate k(-19).
42
Let g(r) = -1078*r - 15084. What is g(-14)?
8
Let b(p) = 297*p - 3081. Determine b(10).
-111
Let k(x) = -6*x**3 - x**2 + 5*x - 2. What is k(2)?
-44
Let o(x) = -3*x**3 - 68*x**2 - 58*x - 87. What is o(-22)?
221
Let h(y) = 6*y**2 - 261*y - 35. Determine h(42).
-413
Let k(q) = 907*q - 20862. Determine k(23).
-1
Let s(u) = u**3 - 31*u**2 + 442*u - 13711. Give s(31).
-9
Let d(x) = -4*x**2 + 32*x - 12. Calculate d(7).
16
Let u(m) = -m**2 - 89*m - 1378. What is u(-19)?
-48
Let a(w) = 48*w + 2395. Determine a(-50).
-5
Let m(d) = -94*d**2 - 1499*d - 24. Determine m(-16).
-104
Let x(i) = -22*i**3 - 126*i**2 - 127*i - 2. Determine x(-1).
21
Let a(r) = -105*r - 1145. Give a(-12).
115
Let r(h) = 132*h - 3033. What is r(23)?
3
Let q(l) = 138*l - 1259. Determine q(10).
121
Let x(o) = -o**2 - 5*o + 526. Give x(-26).
-20
Let u(x) = 31*x + 319. Determine u(-11).
-22
Let b(o) = -72*o**2 + 1432*o - 1. Determine b(20).
-161
Let l(h) = h**3 + 15*h**2 + 104*h + 325. Determine l(-8).
-59
Let g(b) = -479*b - 10484. What is g(-22)?
54
Let g(d) = -d**2 + 21*d - 66. What is g(9)?
42
Let y(h) = -26*h + 505. Determine y(21).
-41
Let l(g) = -8*g - 37. Determine l(-9).
35
Let v(g) = g**3 + 55*g**2 + 223*g + 974. Calculate v(-51).
5
Let r(t) = -t**3 + 30*t**2 + 798*t - 24. What is r(-17)?
-7
Let o(j) = 15*j**2 + 75*j - 149. Give o(2).
61
Let q(i) = 2*i**3 + 78*i**2 - i - 46. What is q(-39)?
-7
Let z(h) = -7*h**2 + 8*h + 304. Calculate z(-13).
-983
Let c(u) = 9*u + 198. Determine c(-20).
18
Let r(c) = -5*c**3 - c**2 + 5*c + 11. Calculate r(-3).
122
Let z(n) = -27*n**2 + 136*n - 276. What is z(2)?
-112
Let f(r) = r**3 + 16*r**2 + r + 49. Calculate f(-15).
259
Let p(o) = -1590*o - 9539. Give p(-6).
1
Let r(q) = 54*q + 636. Give r(-14).
-120
Let l(j) = 107*j - 860. Determine l(8).
-4
Let r(j) = -j**2 - 29*j - 202. What is r(-18)?
-4
Let g(q) = -q**3 + 46*q**2 - 521*q + 306. What is g(18)?
0
Let h(m) = -1485*m + 7423. Determine h(5).
-2
Let i(n) = -n**3 + 7*n**2 + 16*n + 28. Calculate i(-4).
140
Let b(f) = -f**3 + 3*f**2 + 110*f + 32. Calculate b(-9).
14
Let m(d) = d**3 + 18*d**2 + 17*d - 235. Give m(-5).
5
Let o(p) = -2*p**3 + p**2 + 8*p + 8. What is o(-5)?
243
Let r(p) = -4362*p - 174488. What is r(-40)?
-8
Let v(p) = 4*p**3 + 100*p**2 - 3*p - 43. Give v(-25).
32
Let o(t) = 249*t - 495. Give o(2).
3
Let m(r) = 17*r + 1322. Determine m(-78).
-4
Let o(x) = -69*x + 3354. Calculate o(47).
111
Let c(y) = -22*y**3 - 2*y**2 + 4*y - 6. Determine c(2).
-182
Let f(j) = 5*j**3 + 406*j**2 + 78*j - 225. Calculate f(-81).
18
Let f(c) = -c**2 - 5*c + 4. What is f(-4)?
8
Let u(t) = 275*t - 11246. Give u(41).
29
Let h(c) = c**2 - 19*c - 98. Calculate h(-7).
84
L
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - 1 + 3)*(z + 0 + 0) + 1 - 1 - 3*z) in the form p + l*z and give l.
252
Rearrange (79*s - 150*s - 112*s)*(-s - s - s) to the form v*s + n + u*s**2 and give u.
549
Express (-1 + 4 - 1)*(3*w**3 + w**3 - w**3)*(33*w + 30 - 30) in the form g*w**4 + h*w + z*w**3 + b*w**2 + s and give g.
198
Express 118*b**4 + 0*b**2 + 14*b**3 - 14*b**3 - 119*b**4 - b**2 + 4*b + 6 as x + f*b**3 + y*b**2 + k*b + l*b**4 and give l.
-1
Express (-43*u - 51*u + 23*u)*(u - u + 3*u) - 3*u**2 + 5 - 5 as n*u**2 + o + m*u and give n.
-216
Rearrange (p + 163*p - 15*p + 107*p)*(-p**3 - 3*p**3 + 0*p**3) to y*p**3 + r*p**2 + g*p**4 + j*p + i and give g.
-1024
Express 7*n + 12989*n**2 - 12981*n**2 + 2*n in the form v + a*n + u*n**2 and give u.
8
Rearrange -3*r - 2*r**3 - 13*r**4 + 13*r**4 - 5*r**4 - 3 + 4*r to f + x*r + u*r**3 + o*r**4 + g*r**2 and give u.
-2
Rearrange -361*q + 48*q + 104*q + 75*q to p*q + h and give h.
0
Rearrange 63*q**2 - 38*q**2 - 498*q**2 + q**2 - 2*q**2 + 2*q**2 + (-2 + 2 + 2*q)*(-2 + 2 + 2*q) to the form i + v*q**2 + t*q and give v.
-468
Express -10*q + 58 - 16 - 22 as o + a*q and give o.
20
Rearrange 1716*n - 724*n - 540*n to l*n + c and give l.
452
Rearrange (g + 2*g - 15 + 3)*(-8 + 0 - 1 + 1 + 4 - 4 + (-6 + 3 + 1)*(-1 - 1 + 0) - 1 + 1 + 1 + 1 + 1 + 0) to c + t*g and give c.
12
Rearrange -f**4 - f**3 + 2*f + 289 + 0*f**3 - 287 - 4*f + 25*f**2 to q*f**4 + o*f + m*f**3 + y + i*f**2 and give y.
2
Rearrange 10 - a - 3*a**2 + 5*a**2 - a - 8*a**4 + 11*a**4 + 12 to the form c*a**2 + m*a**4 + d + s*a + x*a**3 and give d.
22
Rearrange -174867*f**2 - f + 6*f**3 + 87 + 174867*f**2 to r*f**3 + d*f**2 + u + o*f and give o.
-1
Express (-671 + 262 + 880)*(0*i - i - 4*i) in the form a + f*i and give f.
-2355
Express -1892*t - 5 - 9 - 6 + 20 in the form o*t + c and give o.
-1892
Rearrange 2*v + 4 - 4 + (5 - 5 - 2*v)*(-1 - 3 + 2) - 1 + 1 + 2*v - 5*v + 2*v - v + (-2 + 2 + 1)*(-v + 3*v - 4*v) to the form u + s*v and give s.
2
Rearrange -174*r**2 + 7415*r - 253*r**2 - 7415*r to b*r**2 + k + j*r and give b.
-427
Express 3*z**3 - 2*z**3 - 3*z**3 + (2 - 2 - 1)*(2*z**2 + 2*z**3 - 2*z**2) + 2*z**3 - 29 + 57 - 29*z - 26 as x*z + t + d*z**3 + s*z**2 and give s.
0
Express (80 + 202 - 170)*(-l + 3*l - l)*(-1 - 1 + 1)*(4 + 0 - 2) as u*l + b and give u.
-224
Express u**3 + 83 - 4*u - 3*u**3 + 83 + 0*u**2 - 2*u**2 - 157 in the form k + h*u**3 + s*u**2 + m*u and give m.
-4
Express -3 + 27244*t**4 - 27243*t**4 - 2*t + 2*t**2 - 1 + t**3 as w*t**3 + i*t**4 + k*t + v*t**2 + p and give p.
-4
Rearrange (6 - 3 - 4)*(-i + 4*i + 2*i + 0 + 0 + i + 0*i + 5*i - 4*i + (1 - 1 + 2)*(0*i - 4*i + 2*i) + 3 - i - 3 - i - 7*i + 3*i) to d + l*i and give l.
3
Express 2*m - 704 + 378 + 400 as c*m + l and give c.
2
Rearrange 297*r - 263 + 263 + 1206*r to p*r + g and give p.
1503
Rearrange (15205*u**2 + 180 - 15207*u**2 + 474)*(-2 + 4 + 3) to i + o*u + b*u**2 and give o.
0
Express 0*p**2 - 10*p**3 - 2*p**2 - 3*p**2 - 2 + p + 11*p**4 - 19*p**4 + 3*p**2 in the form y*p**4 + r*p**2 + l*p**3 + u + b*p and give y.
-8
Express 0*l**3 - l**3 - l**3 + (-78 - 467 - 851)*(-1 - 2*l**3 + 1) in the form z*l**2 + t*l**3 + q + h*l and give t.
2790
Rearrange -4*x - 4*x - 260 - 20*x + 27*x to the form m + z*x and give m.
-260
Rearrange -457*g**3 + 460*g**3 - 13 - 27 + 2*g**2 to b*g**2 + f*g**3 + t*g + i and give i.
-40
Rearrange -5*p**2 - 617697*p - 33*p**3 + 617699*p + 4*p**2 to i*p**3 + u*p + d*p**2 + v and give v.
0
Rearrange -19*o**3 + 30*o + 3*o**3 - 2*o**2 - 51*o**3 - 32*o to w*o**3 + g*o + a*o**2 + j and give g.
-2
Express -k + 0 + 0 + (4 - 4 - 2)*(-32636 - 265*k + 32636) + 2*k + 0 + 0 in the form q*k + d and give q.
531
Express (1 - 2 - 1)*(-3 + 0 + 4 + (2 - 5 + 4)*(-2 - 2 + 6))*(-123*o**2 - 36*o**2 - 80*o**2) as k + y*o**2 + i*o and give y.
1434
Rearrange (-a - 2*a - 5*a)*(2 + 1 - 4) + (a - a + 2*a)*(0 + 2 - 1) + (2*a - 5*a + 2*a)*(10 + 0 - 2) to y*a + v and give y.
2
Express (-22 + 22 + 4*o)*(2 - 3 + 5)*(-7*o + 11*o + 17*o) in the form f + t*o**2 + k*o and give f.
0
Express -1035*z - 3*z**3 + 1039*z + 3 + z**2 + 1 in the form g*z**2 + y*z**3 + r*z + u and give g.
1
Rearrange 1 + 115*q**4 - 108*q**4 + 3*q**2 + 74*q - 4 - 76*q to the form j*q**3 + a*q**2 + f*q**4 + c + b*q and give a.
3
Rearrange (-2 - 4 + 7)*(12 + 3 - 4)*(-7 + 19 + 21)*(-j + 4*j - 10*j) to m + s*j and give s.
-2541
Express (-119 - 5*k + 119)*(2*k + 0*k - 3*k)*(-4 + 2*k + 4) - 32*k**3 - 15*k**3 + 75*k**3 as z*k + h*k**2 + c + n*k**3 and give z.
0
Express (0*n**2 + 14*n + n**2 - 3*n**2)*(-215 + 41 + 105) as t + h*n + v*n**2 and give h.
-966
Rearrange -2 + 47*u**2 - 28*u**3 - 22*u**2 - 6*u + 6*u - 26*u**2 to c*u + i + j*u**3 + h*u**2 and give i.
-2
Rearrange (33 + 1 + 6)*(0*n + n**4 + 0*n) to the form t*n**2 + l*n**3 + v*n + p + g*n**4 and give t.
0
Rearrange -1 - 13*c**2 + 4154*c**4 - 2079*c**4 - 2*c**3 - 2078*c**4 to the form h*c**4 + o*c**3 + n + f*c + d*c**2 and give n.
-1
Express (3*b**3 - b**3 + 5*b**3)*(-13 + 29 + 15*b - 19) as g*b**3 + a*b**2 + j + w*b + s*b**4 and give w.
0
Rearrange (-v - 3*v + 2*v)*(-v + 4*v - v)*(-13 - 9 + 9)*(-v - v + 0*v) to the form w + l*v + c*v**3 + y*v**2 and give c.
-104
Rearrange -3*r + 18*r**3 - 5*r**3 - 20*r + 10*r to l*r + h*r**2 + z*r**3 + b and give z.
13
Express -723*i + 155 - 13 + 722*i in the form h*i + w and give h.
-1
Express -1159*h**2 - 11*h + 5*h + 394*h**2 + 6*h in the form d + j*h**2 + i*h and give i.
0
Rearrange -5 + 3*s**3 + 7 - 2 - s - 13*s**3 - 2 to the form z*s**3 + q*s**2 + b*s + k and give b.
-1
Express (-87*p**2 + 18*p**2 - 169*p**2)*(10*p + 7*p - 9*p) as o*p**3 + c + m*p + s*p**2 and give o.
-1904
Rearrange 845*w**2 - 421*w**2 + 12*w - 420*w**2 - 3 + 1 to x*w + h*w**2 + t and give x.
12
Express 8*m - 39*m - 49*m in the form t*m + q and give t.
-80
Express 6*m - 3*m + 4151 - 3141 in the form a + x*m and give a.
1010
Rearrange 2 - 30*i**3 - 30*i**3 + 17*i + i**2 - 26*i**3 - 17*i**4 + 85*i**3 to the form k*i**3 + x*i + l + g*i**4 + u*i**2 and give l.
2
Express -3*b - 6 + b + b + (-4*b + 4*b + 2*b)*(0 + 0 - 1) - 3*b + 5*b - b + 36*b + 67*b - 36*b as f + c*b and give f.
-6
Express -4*d + 2*d**4 + 997*d**3 - 1997*d**3 + 997*d**3 in the form t + p*d**3 + o*d + q*d**2 + y*d**4 and give y.
2
Rearrange 2*g**2 - 147 + 3*g**2 - 11*g**2 + 5*g**2 to w + u*g + q*g**2 and give w.
-147
Rearrange (45 - 45 - 52*o)*(-o**2 + 0*o**2 + 0*o**2 + (-4*o + 5*o - 3*o)*(16*o - 6*o + 28*o)) to the form u + m*o**2 + d*o + b*o**3 and give u.
0
Rearrange 302*g + 41007 - 41007 to b + o*g and give b.
0
Rearrange (2*y**2 + 3*y**2 - 2*y**2)*(-33*y**2 - 1521 + 760 + 760 - 2*y) to b*y**2 + v*y**3 + q*y + x*y**4 + a and give x.
-99
Rearrange 4*s + 191*s**3 + 1 + 37*s**2 - 114*s**2 + 38*s**2 - 3*s + 37*s**2 to g + a*s**2 + j*s + y*s**3 and give y.
191
Express 2 - 2 - 6 - 3*u**3 - 1 in the form v + q*u**2 + s*u + x*u**3 and give x.
-3
Express (2 + 2 - 5)*(22*p**2 - 39 + 39 - 22*p**2 - 2891*p**4) in the form l*p + v*p**2 + s*p**4 + n + b*p**3 and give s.
2891
Rearrange (2*g + 2*g - 2*g)*((-4 + 3 + 2)*(-1 + 1 + 2) + (-2 + 3 + 2)*(-23 + 1 - 31)) to the form v + b*g and give b.
-314
Express -98*f**2 - 675*f**2 - 649*f**2 as l*f + x*f**2 + a and give x.
-1422
Express 0*o**2 + 0*o**2 + 2*o**2 + (3 + 0 + 0)*(-2 - 11 - 2)*(5*o**2 - 3*o**2 + o**2) - o**2 + 2*o - 2*o as x*o + l + u*o**2 and give u.
-134
Express -42*i**2 + 2*i + 5*i**3 + 19*i**3 - 21*i**3 + 1 as p + n*i + l*i**2 + h*i**3 and give h.
3
Rearrange -389*s**2 - 387*s**2 + 295 + 775*s**2 to y*s**2 + p*s + f and give f.
295
Rearrange -32*c + 313 - 29*c + 60*c to the form x + b*c and give b.
-1
Rearrange 2 - 364*n - 133*n - n**2 + 107*n to g*n**2 + i*n + o and give i.
-390
Rearrange (-4 + 4 - 2)*(9*u - 4*u + 117*u) to the form d*u + n and give d.
-244
Rearrange 191*n + 746 - 746 to i + a*n and give a.
191
Rearrange 6*j**2 - 29*j + 2*j - 7*j**2 + 4 - 14 + 6 to the form a*j + o + l*j**2 and give o.
-4
Rearrange (871*m**3 + 2*m**4 + 0*m - 841*m**3 - 5*m)*(5 - 1 - 2) to the form d*m + j + w*m**3 + c*m**2 + o*m**4 and give o.
4
Rearrange 10*c + 0 - 16*c**2 + 5 - 8*c**2 + 27*c**2 to s*c + b*c**2 + v and give v.
5
Rearrange 41*s**2 - 7*s**2 + 84*s**2 + (-7*s + 2*s - 9*s)*(6*s - 2*s - 2*s) to o*s**2 + q + y*s and give o.
90
Rearrange 55*z**3 + 230 - 4*z - 695 + 238 + 139*z**3 + 229 to the for
|
{
"pile_set_name": "DM Mathematics"
}
|
52 - 110 for x.
2
Solve -236*o + 229*o + 217 + 12 = -4*t, 2*t + 3*t + 15 = 0 for o.
31
Solve -15*p = 2*s + 3*p - 56, 0*p - 2 + 3 = p - 1 for s.
10
Solve -2*t + 2581*p + 2 = 4*t - 5*t + 2579*p - 14, -4*p = -12*t + 92 for t.
6
Solve -3*t + 15 = 5*s, -2*t = -s - 7*t + 47 for s.
-3
Solve 5*f - 4547*w + 155 = -4549*w, -3*w = 2*f + 51 for f.
-33
Solve 0 = 3*m + 9*r + 24, -1697865*m = -1697867*m - r + 4 for m.
4
Solve -39*m - 353*m - 1955 = -5*g, -4*m + 3*g - 17 + 5 = -m for m.
-5
Solve 8*p + 14*c - 118 = 3*p, 11*c + 11 = -p + 19*c - 41 for p.
4
Solve -4*h - 185 = 5*k, 3*h - 2*k + 3*k + 251 = 104 for h.
-50
Solve -50 = 2*l, 26*l - 23*l + 61 = 14*u for u.
-1
Solve -8*a = -0*k + 5*k - 316, -11*k - 6 = -9*k + a - 51 for k.
4
Solve l - 7*v = -10, 2*l - 31*v + 28*v - 2 = 0 for l.
4
Solve -366*n = -h - 353*n - 273, -n = -21 for h.
0
Solve -4*d - 4*l = 292, 6*d + 3*d - 116*l + 637 = -115*l for d.
-71
Solve 0 = -7*t - 5*w + 13, -t - 3437*w + 7 = -3438*w for t.
4
Solve 5*r - 53 = -2*t - t, r + 247 = -3*t + 296 for r.
1
Solve -4*h - 26 = -3*q - 67 + 102, 322 = -q - 25*h for q.
3
Solve -9*c - 51 = -5*v, 2*v - 3*v + 10 - 2 = -5*c - 5*v for c.
-4
Solve -7 = -w - w - 410*f + 413*f, -5*f - 23 = 8*w for w.
-1
Solve -4*u - 31*g + 15 = 40 + 159, -9 + 1 + 0 = 2*g for u.
-15
Solve -859*v + 858*v = 5*k - 4, -89*k + 190 = -2*v for k.
2
Solve 2*n - n = 2*p + 12, 803*n - 807*n = -3*p - 13 for n.
-2
Solve 40*t + 32*t + 38*t + 24 = 98*t + 2*q, -10 = 5*t + 3*q for t.
-2
Solve 140430*z - 5*f + 48 = 140434*z, -5*z = 11*f - 98 for z.
2
Solve -12*q - 4*s + 219 + 97 = -6*q, -10*q = -12*q - s + 107 for q.
56
Solve -h + 51 - 75 = 4*o, -4*h + 3*h - 3*h - 24 = 5*o - 5 for o.
-7
Solve 0 = f + 4*o - 127, 13*f + 7*o + 110 + 87 = -3*o + 14*o for f.
-5
Solve 12*i - 4*i - 19 = 183*s - 178*s, 0 = -2*i + 5*s + 1 for i.
3
Solve -q + 4*z + 2 = 0, 3*q + 516*z - 19 = 3*q - 4*q + 521*z for q.
6
Solve -198 = 3*p - 12*q, -6213*p + 6212*p - 3*q = -53 for p.
2
Solve 3*p + 2506 - 2518 = -3*q, -40 = 5*p - 5*q for p.
-2
Solve 4*u + 5650 = x + 5649, -2*x = -5*u + 7 for x.
-11
Solve -u - 62 = -5*j + 27, -949*u + 952*u = -3*j + 39 for u.
-4
Solve -v - 9*i - 2659 = -2725, 0 = -v - 3*i + 24 for v.
3
Solve -13 = -5*u + 10*u - 6*u - 2*r, 2*r = 6*r - 28 for u.
-1
Solve -50*l - 191 = -j - 62*l, 3*j + l - 13 = 0 for j.
-1
Solve 205*r = 2*t + 197, -946 + 1895 - 970 = -5*r - 4*t for r.
1
Solve 147*w - 151*w = -3*j + 80, 2*j = -51*w - 1181 for w.
-23
Solve -63 = 3*s + 4*b, -53*b = 162*s - 161*s + 951 for s.
3
Solve 3*z - 22 = -2*t, 1321*t - 32 = 1317*t - 3*z for t.
5
Solve 24 = -3*a - 4*k, -97*a + 93*a = 5*k + 25 + 5 for a.
0
Solve -2*m + 0*m = -5*m - 5*w, -10*m + 7*m = 10*m - 10*w for m.
0
Solve -4*g - 2*o + 10 = 0, -4*o = -8*g - 251 + 215 for g.
-1
Solve -11*d - 434 + 447 = -z, d + 5 + 10 = -8*z for d.
1
Solve 3*o = -32*y - 108, -5*o + 0*y + y = -8 + 3 + 22 for o.
-4
Solve -11 = -7*b - 3*g - 30, -2*b + 2*g + 3 = 3*b for b.
-1
Solve -5*a + 38 = 2*s, -31*a = -9*s + 9*s - 30*a - 8 for s.
-1
Solve -j + 2*j + 212*f + 122 + 604 = 65*f, -2*j - 2*f = 2*j - 26 for j.
9
Solve -75708*y = -75713*y - 5*b - 5, y + 2*b + 4 = 0 for y.
2
Solve 0 = 2*p + 3*h + 37 + 16 + 10, -129 = 7*p + 8*h + 39 for p.
0
Solve 1746*t = 3*u + 876*t + 868*t - 19, 34*u + 67 = -3*t for u.
-1
Solve 68 = 5*b + 4*a, -37*b - 4*a = 107 - 559 for b.
12
Solve 4*z + 26513*d = 26516*d + 281, 8*z - 572 = -4*d for z.
71
Solve 0 = -n - 3*x + 18, 69538*n = 69535*n + 4*x + 2 for n.
6
Solve 779*c + 72 = 782*c - 5*j, -24*c - 4*j - 84 = 0 for c.
-1
Solve 5*l + 509*z = 508*z + 10, 4*l + 4*z = 24 for l.
1
Solve 5*f + 32 = -2*l, -37*f + 443 = 6*l + 583 for l.
-11
Solve -d - 3*x = -29, -3*d + 9*x - 14*x = -7*d + 99 for d.
26
Solve 0 = 3*r + 4*i - 3*i + 11, -8*r + 14*r + 17*i = -52 for r.
-3
Solve -v + 6*k + 17 = 3*k - 5, 2*v + 4*v - 62 = 4*k for v.
7
Solve 3*p + 17868 - 17901 = -i, 0 = 8*p - i - 22 for p.
5
Solve v - 65 + 71 = -5*y - 0*v, 4*y = 3*v - 1 for y.
-1
Solve -3*x = -m - 54, 28*m - 4622 = 2*x - 4576 for m.
3
Solve 2*s = 5*a - 6, 3*s + 13*a + 2054 - 988 - 975 = 0 for s.
-13
Solve -8*r - 106*c + 11 = -107*c + 1, -8 = 5*r - 3*c for r.
2
Solve 0 = -3*a - 12*h - 30, -58*a + 7*h - 40 = -54*a + 3*h for a.
-10
Solve -5*h = -3627*u + 3630*u + 58, 5*u - u + 5*h = -79 for u.
-21
Solve -4*y + 83 = z, -8*z + y - 3*y = 2*z - 70 for z.
3
Solve 0 = -2*f + 18, 5*j = -3*f - 8 + 2 + 43 for j.
2
Solve 7*i - 134411 = -2*q + 3*i - 134479, 0 = 3*q - i + 137 for q.
-44
Solve -5*y = -3*s + 20, 3*s - s - 2972 + 2980 = -2*y for s.
0
Solve -2*k = 124, 2*y = 4*y + 13*k - 4*k + 550 for y.
4
Solve s = -5*l + 14 + 29, 19*s = 34*l - 36*l + 73 for l.
8
Solve 1526*u - 1527*u - c = 37, 136 = -3*u + 2*c - 0*c for u.
-42
Solve -4*q + 2*z + 3*z = -4*q - 25, -8*z = -3*q - 53 for q.
-31
Solve -v = -17*l + 37, 2187*v = 2190*v + 5*l - 1 for v.
-3
Solve -5*u + 4*w + 44 = 0, 102323*u - 3 = 102321*u - 4*w + 37 for u.
12
Solve 10*j + 42 + 6 - 47 = 51, 0 = 5*x - j + 35 for x.
-6
Solve -1442*g + 485*g = 5*f - 491*g - 484*g + 34, 2*f - 9*g + 19 = 0 for f.
4
Solve -3*v + 26*g - 35 = 25*g - 58, 3*g + 24 = 0 for v.
5
Solve 3*j + 6*a = -3*a + 13*a - 89, -5*j + 13*a - 313 = 0 for j.
5
Solve 52*w - 2*k = -155*w - 160 + 783, -5*k = -5*w + 20 for w.
3
Solve 5*j = -2*h - 31, -7193 = -2*j - 13*h - 7303 for j.
-3
Solve -4*r + 4 = 6*b, 0 = r - 3*r - 5*b + 6*b + 3 - 17 for r.
-5
Solve 0 = -5*c - 3*i - 3, -70*i + 357 - 77 = 0 for c.
-3
Solve v - 5*s = 92, -v - 4*s - 74124 + 74054 = 0 for v.
2
Solve 98*f = 6*l + 101*f + 1 + 5, -2*l - 8*f + 40 = 0 for l.
-4
Solve -237217*p + 237221*p + 90 = 3*n, p - 11*n + 2 = 0 for p.
-24
Solve 0 = -979*v + 981*v - 3*h + 6 - 0, 0 = -3*v + 5*h - 7 for v.
-9
Solve 17*m + 8*u + 1 = 0, 2*m - 60774 = 2*u - 60780 for m.
-1
Solve -4*u - 20 = -12*m, -3*m + 9*u - 78 + 219 = 0 for m.
-4
Solve 12*s - 10*s + 7 = 3*o, -5*o = 22*s - 20*s - 33 for s.
4
Solve -123 = 1248*v - 1247*v + 3*f, -3*v - 205 = 5*f for v.
0
Solve -4*n + 337*f - 351 = -521 + 6256, -3*n = 4*f - 57 for n.
-5
Solve 2*f + 151 = -5*s, 2080 - 2190 = 4*s - 2*f for s.
-29
Solve 26*s + 10 = -4*k, 3692*k = 9*s + 3696*k - 7 for s.
-1
Solve 10*p + 75 = 5*p - 2*k - 0*k - 225 - 15, 0 = 19*k for p.
-63
Solve -3*j + 342 - 384 = 0, 0 = -5*o + j + 19 for o.
1
Solve 31*m + 146 = -5*o + 33*m, 9 + 31 = 5*o + 60*m for o.
-28
Solve 0 = k - 3*f - 11, 4*k = -5*f - 251 + 261 for k.
5
Solve 52*l + 47*l - 94*l = -t - 188, 0 = -2*l - l + t - 108 for l.
-37
Solve -116 + 131 = 5*d + 5*z, -z - 39 = 15*d for d.
-3
Solve -4*p + 2 = -2*s, -20 - 11 - 57 = 39*p + 2*s for p.
-2
Solve -11*v + 2*y + 92 = -3*y - 170 + 56, -9*y - 156 = -5*y for v.
1
Solve 2825 = 3*m - 2*m + 67*o + 282, 5*m - o = -53 for m.
-3
Solve -580 = 21*k + 315*p - 307*p, -4*p = -2*k - k - 88 for k.
-28
Solve 105*g = -4*h + 4305, 4*g - 164 = -11*h - 12*h - 6*h + 32*h for g.
41
Solve -2*c - 2*r = -26, -13*c + 16*c + 60*r - 59*r = 15 for c.
1
Solve -o + 24 = 4*r, 0 = -1317*o + 1322*o - 4*r + 124 - 172 for o.
12
Solve 328681*o - 2*a = 328683*o, -2*a + 15 = -3*o for o.
-3
Solve 0 = -5*n - 662061*m + 662057*m - 25, 3*n = -5*m - 28 for n.
-1
Solve -161*p - 211*v = -210*v + 667, -4*v = -3*p + 80 for p.
-4
Solve -27016*i = 3*h - 27019*i + 135, -3*h = 11*i - 439 for h.
-4
Solve -12*m + 133 = 5*n, -386*n + 383*n = 2*m - 59 for m.
4
Solve -3*l - 73 = 5*y + 57, 4*y - 589 = -174579*l + 174592*l for y.
1
Solve 8*r - 9001 = -5*c - 9034, -73 = -2*r + 5*c for r.
4
Solve -3804*c - 44 = 4*w - 3811*c, 7*w + 2*c = -3*w - 0*c - 110 for w.
-11
Solve 4*a - 683 + 526 = -13*p, 0 = 3*p + 3*a - 84 for p.
5
Solve 7*u - 2*o = -71, -9*u + 10*o = -4*u + 89 + 25 - 29 for u.
-9
Solve 0*g + 2*g = 4*n - 30*n - 484, -23 = 3*g + 2*n for g.
5
Solve 80*v - 1924 = -2*q, -28 = -70630*q + 70628*q - v for q.
2
Solve -22*c = 4*l + 49 - 135, -29*l - 10 - 14 = -3*c - 32*l for c.
3
Solve 0 = -3*d + 11297*n - 11296*n - 1, -3*n = 8*d - 71 for d.
4
Solve -2*l = 2*g - 2, 6*g = 6*g - 7*l - 28 + 70 for g.
-5
Solve -133*j + 128*j + 193 = -3*i, 6*i - 105*j - 32 = -106*j for i.
-1
Solve -6190 = -16*n + 17*n + 2*h - 6196, 5*h = -5*n + 20 for n.
2
Solve 372*f = 422*f - 7*b + 878, f - 4*b + 33 = 0 for f.
-17
Solve -2*f + 2*s = 18, -22*s = -6774*f + 6769*f - 113 for f.
-5
Solve -381 = 10*x - 6*k + 2*k - 126 + 15, -11*k + 55 = 0 for x.
-25
Solve 305*v - 308*v = -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
69. Let z(r) = -r**3 + 3*r + 3. Let w(n) = 4*n**3 - 11*n - 11. Determine b*z(f) - 6*w(f).
-2*f**3
Let n(v) be the third derivative of -v**4/3 + 2*v**3/3 - 26*v**2. Let g(x) = -7*x + 3. Determine -7*g(j) + 6*n(j).
j + 3
Let m(a) = -a + 4. Let w(d) = -2*d + 9. Let v = -115 + 108. What is v*m(x) + 3*w(x)?
x - 1
Let f(k) = -3*k**3 - 11*k - 29. Let m(x) = -2*x**3 - 7*x - 19. Determine 5*f(j) - 8*m(j).
j**3 + j + 7
Let i(t) = -t**3 - t**2 + t + 1. Let u(d) = -d**3 - 2*d**2 - 4*d - 2. Let c(r) = 2*i(r) + u(r). Let n(f) = -f**3 - 2*f**2 - f. Calculate 2*c(y) - 5*n(y).
-y**3 + 2*y**2 + y
Let t(l) = -10*l**3 - l**2 - 7*l - 4. Let m(s) = 9*s**3 + s**2 + 6*s + 5. Determine -7*m(d) - 6*t(d).
-3*d**3 - d**2 - 11
Suppose -3*g + 3*o - 18 = 0, -4*o - 1 = g - 15. Let u(l) = 4*l - 2. Let j(a) = -17*a + 9. Let v be 4/(8/18)*-1. Calculate g*j(d) + v*u(d).
-2*d
Let j(g) = -2*g - 1. Let s(l) = l + 4. Let y(h) = 3*j(h) - s(h). Let p = 16 - 8. Let x(w) = 11*w + 11. Calculate p*y(o) + 5*x(o).
-o - 1
Let j(z) = 3*z. Let f be (9/(-18))/(2/(-4)). Let a(m) = 8*m - 5*m + f + 4*m + 6*m. Calculate -2*a(b) + 9*j(b).
b - 2
Suppose -5*u = u + 18. Let r(c) = -c + 4. Let h(n) = 3. Give u*r(a) + 4*h(a).
3*a
Let j(t) = 6*t - 17. Let b(h) = 2*h - 6. Let y = 16 - -1. Give y*b(u) - 6*j(u).
-2*u
Let o(m) = 4*m**2 - 4. Let d(u) = -4*u**2 + 3. Determine -4*d(p) - 3*o(p).
4*p**2
Let u be -1 + 1 + 3/1. Suppose -2*p - 9 + u = 2*m, -16 = 2*p + 4*m. Let n(a) = -a**2 + 3*a - 2. Let j(s) = -s**2 + 4*s - 3. Give p*j(x) - 3*n(x).
x**2 - x
Suppose k + 12 = -3*k. Let g(w) = 9*w**2 - 11*w**2 + 3 + 5*w - 3. Let b(a) = -a**2 + 3*a. Determine k*g(p) + 5*b(p).
p**2
Let x(m) = 11*m + 4. Let d(c) = -10*c - 5. Determine -2*d(u) - 3*x(u).
-13*u - 2
Let i(t) = 6*t**2 + 6 + 7*t**3 - 2*t - 4*t + 0*t**3. Let b = -13 + 19. Let o be 31/b + (-18)/108. Let x(v) = 6*v**3 + 5*v**2 - 5*v + 5. What is o*i(u) - 6*x(u)?
-u**3
Let q(u) = 3*u**3 - 5*u**2 - 6*u - 4. Let k(g) = g**3 + g**2 + g. Let f(c) = 8*c**3 - 9*c**2 - 11*c - 9. Let x(y) = -f(y) + 2*k(y). What is -9*q(a) - 4*x(a)?
-3*a**3 + a**2 + 2*a
Let c(t) = -t. Let l(u) = 7*u**2 + 5*u - 2. Give 5*c(n) + l(n).
7*n**2 - 2
Let z be (7/(-28))/(3/(-24)). Let t(v) = -v**3 + 9*v + 4. Let r(c) = 4*c + 2. Give z*t(i) - 5*r(i).
-2*i**3 - 2*i - 2
Let v(b) = -4*b. Let n(o) = -11*o - 3. Let f(t) = 21*t + 5. Let l(a) = 4*f(a) + 7*n(a). Give -3*l(k) - 5*v(k).
-k + 3
Let j(c) = c**3 + 8*c**2 + 2*c. Let z(d) = 2*d**3 + 17*d**2 + 5*d. What is -5*j(n) + 2*z(n)?
-n**3 - 6*n**2
Let v(w) = -5*w**3 - 4*w + 3. Let j(b) be the third derivative of -b**4/24 + 2*b**2. Let z be j(-3). Let x(y) = -11*y**3 - 9*y + 7. Give z*x(s) - 7*v(s).
2*s**3 + s
Let j(k) = k**2 - 3*k - 4. Suppose 2*m + 51 = -f + m, -3*m + 15 = 0. Let n be f/(-24) - 4/(-6). Let b(v) = -v**2 + 2*v + 2. What is n*j(i) + 5*b(i)?
-2*i**2 + i - 2
Let s(k) = -5*k**3 - 6*k**2 - 4*k. Suppose 0 = 2*c - 4*c - 6, a = c - 3. Let h(g) = 4*g**3 + 5*g**2 + 3*g. Determine a*h(z) - 5*s(z).
z**3 + 2*z
Let t = -20 + 13. Let z = 6 + t. Let u(r) = -8*r**2 - 6*r - 7. Let h(f) = f**2 + f + 1. Calculate z*u(y) - 6*h(y).
2*y**2 + 1
Let d(q) = -2 + 1 + q + 1. Let r(j) = 1. Determine -d(c) - 2*r(c).
-c - 2
Let l(m) be the second derivative of -m**5/10 - m**4/4 + m**2 - 6*m + 4. Let y(h) = 2*h**3 + 4*h**2 - 3. Calculate 3*l(q) + 2*y(q).
-2*q**3 - q**2
Let o(g) = 13*g - 5*g - 7*g. Let a(i) be the second derivative of -i**4/6 - i**2/2 - 2*i. Let k(u) be the first derivative of a(u). What is -k(d) - 3*o(d)?
d
Let i(o) = -15*o**3 + 3*o**2 - 7*o. Let a(u) = 14*u**3 - 3*u**2 + 6*u. What is -6*a(b) - 5*i(b)?
-9*b**3 + 3*b**2 - b
Let b(p) = p. Let u be 2*4/16*2. Let i be u*(3 + 1 - 2). Let m(h) = -3*h. Calculate i*m(c) + 3*b(c).
-3*c
Let z(n) = -4*n**3 - 5*n**2 - 5. Let y(t) be the third derivative of -3*t**6/40 - 11*t**5/60 - 11*t**3/6 - 3*t**2. Calculate -6*y(j) + 13*z(j).
2*j**3 + j**2 + 1
Suppose o + 2*o + 24 = 5*s, -4*o = -2*s + 18. Let z(v) = v**2 + 3*v - 2. Let r(m) = 2*m**2 + 4*m - 3. Give o*z(k) + 2*r(k).
k**2 - k
Let t(r) be the first derivative of -r**3/3 - 5*r**2/2 + 2. Let p(f) = f**2 + 3*f. Determine 5*p(d) + 3*t(d).
2*d**2
Let n(s) = -7*s + 6. Let q be 8/20 - 66/(-10). Let p(v) = -5 + v - 2*v + q*v. Let r = -46 + 51. Give r*n(g) + 6*p(g).
g
Let i(g) = -4*g + 4. Let w(s) = -s + 1. Suppose 12 = -3*n + n. Calculate n*w(o) + i(o).
2*o - 2
Let z(j) = -2925*j**2. Let f(c) = 43*c**2. Give -273*f(q) - 4*z(q).
-39*q**2
Let i(c) = -6*c + 6. Let s(r) = 11*r - 7. Let d(q) = 88*q - 55. Let m(a) = 4*d(a) - 33*s(a). Give -7*i(z) + 4*m(z).
-2*z + 2
Let m(d) = -17*d**2 - 4*d + 6. Let w(b) = 18*b**2 + 5*b - 7. Give 7*m(y) + 6*w(y).
-11*y**2 + 2*y
Let h(c) = -8*c - 2. Let w be h(3). Let j be 4/((-8)/w) - 3. Let k(m) = -m. Let p(b) = -4*b - 1. What is j*k(n) - 2*p(n)?
-2*n + 2
Let v(u) = u - 2. Let b be (-20)/10*(-19)/2. Let f(y) = 34 - b - 16. Let h(z) = -z + 1. Let j be h(-1). Determine j*f(c) - 2*v(c).
-2*c + 2
Let o(n) = -31*n - 7 + 17*n + 17*n. Let w(y) = -y + 2. Suppose -4*t = -b + 4*b - 54, 4*b - 53 = t. Suppose -1 = -m + 3. Calculate b*w(s) + m*o(s).
-2*s
Let s(u) = -2*u**2 - 4*u - 4. Suppose 20 = -v - 3*v. Let p(y) be the second derivative of y**4/4 + 7*y**3/6 + 7*y**2/2 - 4*y. Calculate v*s(i) - 3*p(i).
i**2 - i - 1
Let r(i) = 60*i - 12. Let c(t) = 15*t - 3. Give -9*c(a) + 2*r(a).
-15*a + 3
Let y(i) = i - 1. Suppose 73 = 5*j + 8. Let f(w) = 2*w - 2. Give j*y(o) - 6*f(o).
o - 1
Let w(c) = -2*c**2 - 4*c - c**2 - 4 + 0*c**2. Suppose x - 4 = 1. Let j(d) = -4*d**2 - 5*d - 5. What is x*w(n) - 4*j(n)?
n**2
Let g(p) = 12*p + 10. Let j(x) = -11*x - 9. What is -6*g(l) - 7*j(l)?
5*l + 3
Let o(n) = -n**2 - n - 1. Let q(w) = 1. Determine -o(g) - q(g).
g**2 + g
Let h(x) = x. Let k be h(-4). Let w(z) = -z + 1. Let f = -9 - -11. Let u(r) = 3 + 3*r + 4 - 10 + f*r. Calculate k*w(v) - u(v).
-v - 1
Suppose 3*t - 5 - 22 = 0. Let n(c) = 13*c**2 - 9*c + 11. Let h(o) = 6*o**2 - 4*o + 5. Determine t*h(z) - 4*n(z).
2*z**2 + 1
Let i(g) = 2*g**2. Let x(j) = 2*j**2 - 4*j. Let h be x(3). Let n(o) = -2*o**2. Calculate h*i(u) + 5*n(u).
2*u**2
Suppose 18*a = 17*a + 8. Let b(v) = 2*v + 1. Let n(g) = -6*g - 3. Calculate a*b(x) + 3*n(x).
-2*x - 1
Let g(t) = -21*t**3 - 5*t**2 - 7*t + 5. Let u(c) = 10*c**3 + 2*c**2 + 3*c - 2. Give 2*g(n) + 5*u(n).
8*n**3 + n
Let l(d) = -11*d**2 + 7. Let p(w) be the third derivative of w**5/10 - 2*w**3/3 + 7*w**2. What is -3*l(f) - 5*p(f)?
3*f**2 - 1
Let g(c) = 21*c**3 - 8*c**2 + 8*c - 2. Let d(l) = -14*l**3 + 5*l**2 - 5*l + 1. Determine 8*d(s) + 5*g(s).
-7*s**3 - 2
Let v(k) = -5*k - 4. Let b(f) = 4*f + 3. What is 3*b(x) + 2*v(x)?
2*x + 1
Let b(x) = 6*x**2 - 7. Let i = 21 - 0. Suppose 4*q = q + i. Let g(p) be the second derivative of -p**4/6 + p**2 - 6*p. Give q*g(t) + 2*b(t).
-2*t**2
Let p(m) = 14*m**2 - 9*m + 1. Let s(l) = 15*l**2 - 8*l + 1. Calculate -6*p(r) + 7*s(r).
21*r**2 - 2*r + 1
Let q(t) = -1 + 3 - 3. Let n(l) be the third derivative of l**4/12 + 4*l**3/3 + 5*l**2. Let o(a) = a**2 + 7*a - 9. Let w be o(-8). Determine w*n(r) - 6*q(r).
-2*r - 2
Let k(f) = -f**2 - 1. Let w(c) = -c**3 - 7*c**2 - 3*c - 9. Let i(o) = 2*o**3 + 13*o**2 + 5*o + 17. Let g(y) = 3*i(y) + 5*w(y). Give -g(z) - 6*k(z).
-z**3 + 2*z**2
Let z(h) = -h**3 - 2*h**2 + 2*h + 2. Let t(n) be the second derivative of -n**4/12 + n**3/6 + n**2/2 + 7*n. Suppose -3 = 5*q + 7. Give q*t(u) + z(u).
-u**3
Let b(y) = 2*y**2 + 5*y + 4. Let l(q) = 4*q**2 + 11*q + 9. Give 13*b(a) - 6*l(a).
2*a**2 - a - 2
Let s(w) = 15*w**2 - 4*w - 1. Let p(z) = -7*z**2 + 2*z. Determine -9*p(m) - 4*s(m).
3*m**2 - 2*m + 4
Let o(x) = 2*x - 4*x**3 - 7*x**2 - 8*x + x**3 - 5. Suppose -8*f + f + 42 = 0. Let r(k) = 4*k**3 + 8*k**2 + 7*k + 6. Calculate f*o(i) + 5*r(i).
2*i**3 - 2*i**2 - i
Let o(i) = 14*i**3 + 23*i**2 - 6*i + 17. Let u(s) = 5*s**3 + 8*s**2 - 2*s + 6. Calculate -6*o(g) + 17*u(g).
g**3 - 2*g**2 + 2*g
Let h be (-2)/2 - (-2 - -1). Suppose -p + 4 = -h*p. Let g(q) = 0*q - p + q + 3. Let a(v) = -v**2 - 2*v + 3. Give -a(r) - 3*g(r).
r**2 - r
Let u(y) = 5*y - 3*y - 6*y - 12 + 2*y. Suppose -3*p + 0*p - 36 = 0. Let t(x) = 1. Calculate p*t(n) - u(n).
2*n
Let l(g) = -1. Let r(h) = 6. Let n(y) = 5*l(y) + r(y). Let w(u) be the third derivative of 0 - 5/6*u**3 - 1/24*u**4 + 0*u - 2*u**2. Give -4*n(t) - w(t).
t + 1
Let i(q) = -1
|
{
"pile_set_name": "DM Mathematics"
}
|
3/2 + 2590*p**2 + 154425*p/2.
-5*p*(p - 1065)*(p + 29)/2
Let 11*z**5 - 101*z**4/3 + 24*z**3 - 4*z**2/3 = 0. What is z?
0, 2/33, 1, 2
Factor -3*q**3 - 252*q**2 - 3948*q + 8928.
-3*(q - 2)*(q + 24)*(q + 62)
Solve 2*p**2 - 46132*p - 46134 = 0.
-1, 23067
Find y, given that -2*y**3 - 11312*y**2 + 295126*y - 1920516 = 0.
-5682, 13
Let -3*u**4/7 - 27*u**3/7 + 417*u**2/7 - 171*u + 810/7 = 0. Calculate u.
-18, 1, 3, 5
Find x, given that -3*x**4/8 - 441*x**3/8 - 4743*x**2/4 + 130161*x/2 - 183051 = 0.
-86, 3, 22
What is h in 5*h**5/3 + 680*h**4/3 - 31255*h**3/3 + 104690*h**2 = 0?
-174, 0, 19
Factor -2*v**2 - 494844*v - 30608823042.
-2*(v + 123711)**2
Determine d so that -5*d**5 + 230*d**4 - 2265*d**3 - 8480*d**2 - 5980*d = 0.
-2, -1, 0, 23, 26
Suppose -21*z**4/5 - 198*z**3/5 + 6147*z**2/5 - 1848*z + 3312/5 = 0. Calculate z.
-23, 4/7, 1, 12
Factor q**3/6 - 9551*q**2 + 273664803*q/2.
q*(q - 28653)**2/6
Factor l**2/5 + 3793*l/5 + 9828.
(l + 13)*(l + 3780)/5
Determine v, given that -v**3/5 + 42*v**2/5 - 117*v/5 = 0.
0, 3, 39
Factor u**3/2 + 11267*u**2 + 22533*u/2.
u*(u + 1)*(u + 22533)/2
Let 484*u**2 - 4862880*u + 12214670400 = 0. Calculate u.
55260/11
Factor -4*a**2/3 + 106016*a - 2107386048.
-4*(a - 39756)**2/3
Determine t so that 2*t**4 - 38272*t**3 - 114834*t**2 = 0.
-3, 0, 19139
Factor 5*c**3 - 247070*c**2 - 494155*c - 247080.
5*(c - 49416)*(c + 1)**2
Factor o**3/4 - 243*o**2/4 + 3402*o + 35721.
(o - 126)**2*(o + 9)/4
Let -4*k**4 - 548*k**3 + 16312*k**2 - 103168*k + 187776 = 0. What is k?
-163, 4, 18
Let -158*x**2 + 85788*x + 3258 = 0. Calculate x.
-3/79, 543
Solve 4*l**5 + 3296*l**4 - 174412*l**3 + 338920*l**2 - 167808*l = 0 for l.
-874, 0, 1, 48
Suppose -k**4 + 28*k**3 - 217*k**2 + 510*k = 0. What is k?
0, 5, 6, 17
Determine l so that -l**5/2 + 54*l**3 - 335*l**2 + 1509*l/2 - 585 = 0.
-13, 2, 3, 5
Factor 108*z**4 - 48816*z**3 + 4195944*z**2 - 133021040*z + 1446542604.
4*(z - 351)*(3*z - 101)**3
Solve -z**3 - 33641*z**2/4 + 46273*z/2 + 25239/4 = 0 for z.
-8413, -1/4, 3
Let 252*p**4 + 14356*p**3 + 27264*p**2 - 880*p = 0. Calculate p.
-55, -2, 0, 2/63
Factor -4*u**2 + 47868*u + 47872.
-4*(u - 11968)*(u + 1)
Factor -5*h**2 + 2289170*h - 262014964445.
-5*(h - 228917)**2
Find n, given that 2*n**3 - 5070*n**2 - 2*n + 5070 = 0.
-1, 1, 2535
What is r in 400*r**4 + 7720*r**3 + 37249*r**2 = 0?
-193/20, 0
Factor -2*g**4/25 + 366*g**3/25 + 30996*g**2/25.
-2*g**2*(g - 246)*(g + 63)/25
Suppose -22*x**5/15 - 1246*x**4/5 - 154738*x**3/15 + 116958*x**2/5 + 91504*x/3 - 14792/5 = 0. What is x?
-86, -1, 1/11, 3
Solve -6*z**4/11 + 8450*z**3/11 + 73610*z**2/11 + 9530*z + 39676/11 = 0.
-7, -1, -2/3, 1417
Find r such that -3255*r**2/4 + 8125*r/2 + 125/4 = 0.
-5/651, 5
Factor 2*g**2/3 + 582*g - 3516.
2*(g - 6)*(g + 879)/3
Factor 5*j**2 + 59310*j + 175883805.
5*(j + 5931)**2
Factor -7*u**3/4 + 38*u**2 - 355*u/4 - 57/2.
-(u - 19)*(u - 3)*(7*u + 2)/4
Factor 4*x**3 + 72104*x**2 + 324792420*x - 1300323600.
4*(x - 4)*(x + 9015)**2
Solve -3*p**3 + 1983*p**2 + 16008*p + 32112 = 0 for p.
-4, 669
Suppose -2*t**2/5 + 2796*t/5 + 16848/5 = 0. Calculate t.
-6, 1404
Let 2*r**4/11 + 504*r**3/11 - 150796*r**2/11 + 8146440*r/11 - 7996150/11 = 0. What is r?
-443, 1, 95
Factor 3*w**3 - 81*w**2 + 396*w + 1140.
3*(w - 19)*(w - 10)*(w + 2)
Determine j, given that -2*j**4 - 464*j**3 - 9102*j**2 - 50840*j - 42200 = 0.
-211, -10, -1
Factor -2*x**2/3 + 135412*x - 6876153654.
-2*(x - 101559)**2/3
Determine c so that c**3 + 49*c**2 - 284*c - 756 = 0.
-54, -2, 7
Determine i so that 3*i**3 + 633084*i**2 + 1899231*i + 1266150 = 0.
-211025, -2, -1
Factor 3*h**3 - 16526*h**2 - 22039*h - 5510.
(h - 5510)*(h + 1)*(3*h + 1)
Solve -4*q**5/19 + 6*q**4/19 + 176*q**3/19 + 294*q**2/19 - 280*q/19 - 192/19 = 0 for q.
-4, -3, -1/2, 1, 8
Factor -4*q**3/5 + 1131316*q**2/5 - 79992808896*q/5 + 79991677584/5.
-4*(q - 141414)**2*(q - 1)/5
Solve -14*s**5 - 4077*s**4 - 352581*s**3 - 4007966*s**2 + 449361348*s + 96472296 = 0.
-106, -3/14, 27
Let 10*u**4/3 + 98*u**3/9 - 172*u**2/3 - 16*u = 0. Calculate u.
-6, -4/15, 0, 3
Factor p**2/2 - 2593*p + 6723649/2.
(p - 2593)**2/2
Solve -4*c**5 + 984*c**4 - 6728*c**3 + 8576*c**2 + 6732*c - 9560 = 0 for c.
-1, 1, 2, 5, 239
Factor -28*z**2 - 2850324*z - 814376.
-4*(z + 101797)*(7*z + 2)
Let -m**2/7 - 163*m/7 + 330/7 = 0. What is m?
-165, 2
Suppose a**5/2 + 11*a**4/2 - 46*a**2 + 40*a = 0. Calculate a.
-10, -4, 0, 1, 2
Find s such that -s**2 - 8890*s - 19758025 = 0.
-4445
Find m such that m**4/5 - 248*m**3/5 + 981*m**2/5 - 1222*m/5 + 488/5 = 0.
1, 2, 244
Factor -5*d**3 + 820*d**2 - 39220*d + 438080.
-5*(d - 74)**2*(d - 16)
Factor 3*o**2/5 + 95652*o/5 + 669417/5.
3*(o + 7)*(o + 31877)/5
Determine m, given that 30258*m**3/19 - 995070*m**2/19 - 113554*m/19 - 3234/19 = 0.
-7/123, 33
Suppose x**4/3 + 29*x**3/3 - 1921*x**2/3 + 1891*x/3 = 0. Calculate x.
-61, 0, 1, 31
What is w in 4*w**5/11 + 386*w**4/11 - 2236*w**3/11 + 874*w**2/11 + 540*w + 2448/11 = 0?
-102, -1, -1/2, 3, 4
Let 4*v**3 - 14372*v**2 + 314732*v - 1728364 = 0. What is v?
11, 3571
Factor -r**2 + 57021*r.
-r*(r - 57021)
Suppose -2*m**4/7 - 502*m**3/7 + 5708*m**2/7 - 2096*m = 0. What is m?
-262, 0, 4, 7
Factor 5*t**4 - 35325*t**3 + 83155020*t**2 - 65137886960*t - 196163010240.
5*(t - 2356)**3*(t + 3)
Factor -o**4 + 55*o**3 - 158*o**2 + 104*o.
-o*(o - 52)*(o - 2)*(o - 1)
What is i in 3*i**2/4 - 32133*i/4 - 32139/2 = 0?
-2, 10713
Determine d so that 2*d**3 - 228*d**2 + 6022*d - 31668 = 0.
7, 29, 78
Factor -55*f**2 - 2380*f + 6900.
-5*(f + 46)*(11*f - 30)
What is z in 3*z**5 - 378*z**4 - 80904*z**3 - 3970512*z**2 - 64075536*z - 112910112 = 0?
-42, -2, 254
Let u**5/5 - 59*u**4/5 - 846*u**3/5 - 478*u**2/5 + 745*u - 2343/5 = 0. What is u?
-11, -3, 1, 71
Factor y**4/2 - 49*y**3/2 - 3*y**2/2 + 149*y/2 - 49.
(y - 49)*(y - 1)**2*(y + 2)/2
Solve -4*w**2 + 105740*w + 2116400 = 0.
-20, 26455
Factor -8*f**2/5 - 46*f - 300.
-2*(f + 10)*(4*f + 75)/5
Factor 3*z**2/4 + 60507*z/2 + 1220365683/4.
3*(z + 20169)**2/4
What is z in z**5 + 228*z**4 + 17085*z**3 + 421966*z**2 = 0?
-94, -67, 0
Solve 2*x**4 + 53078*x**3 - 106164*x**2 = 0.
-26541, 0, 2
Solve 3*a**4 + 651*a**3 + 5064*a**2 + 10032*a = 0.
-209, -4, 0
Suppose -b**3/2 + 49342*b**2 - 1217415160*b + 4868871200 = 0. Calculate b.
4, 49340
Factor 4*h**3 + 976*h**2 + 13040*h + 36800.
4*(h + 4)*(h + 10)*(h + 230)
Suppose 104*v**4/5 + 9348*v**3/5 + 199548*v**2/5 - 490912*v/5 - 584016/5 = 0. Calculate v.
-46, -23/26, 3
Factor -5*w**3 + 430*w**2 - 2725*w - 3160.
-5*(w - 79)*(w - 8)*(w + 1)
Find b such that -14*b**3/17 + 556*b**2/17 - 5762*b/17 + 5220/17 = 0.
1, 18, 145/7
What is a in a**2/2 - 241*a - 45603/2 = 0?
-81, 563
Find c such that 2*c**5/3 + 316*c**4/3 + 17710*c**3/3 + 398300*c**2/3 + 835000*c - 2250000 = 0.
-50, -45, -15, 2
Determine t, given that 3*t**5 + 106*t**4 - 577*t**3 - 680*t**2 = 0.
-40, -1, 0, 17/3
Factor -2*x**2/7 - 2888*x/7 - 17256/7.
-2*(x + 6)*(x + 1438)/7
Find p such that p**4/2 - 50*p**3 - 13509*p**2/2 - 154602*p + 161406 = 0.
-42, 1, 183
Factor -4*s**3 + 6428*s**2 + 12872*s.
-4*s*(s - 1609)*(s + 2)
Determine p so that p**4/5 + 8393*p**3/5 - 1679*p**2 - 8393*p/5 + 8394/5 = 0.
-8394, -1, 1
Determine z, given that z**2 - 23906*z + 47808 = 0.
2, 23904
Let 10*c**2/7 - 2022*c/7 + 4400/7 = 0. Calculate c.
11/5, 200
Solve p**4/7 + 67*p**3/7 + 1402*p**2/7 + 7332*p/7 - 36504/7 = 0 for p.
-26, -18, 3
Solve 2*s**4 + 16*s**3 + 8*s**2 - 96*s = 0 for s.
-6, -4, 0, 2
Suppose 35*w**5/2 + 4255*w**4/2 + 126165*w**3/2 - 187155*w**2/2 + 28350*w = 0. Calculate w.
-63, -60, 0, 3/7, 1
Determine b so that -b**2 + 106587*b + 106588 = 0.
-1, 106588
Suppose -t**5/3 - 132*t**4 - 13707*t**3 - 377050*t**2/3 - 139732*t + 893976 = 0. Calculate t.
-193, -6, 2
Find u such that -24*u**5 + 212412*u**4 - 4032459*u**3/2 + 8513313*u**2/2 + 5039295*u/2 + 663075/2 = 0.
-1/4, 5, 8841
Factor 11*z**2 + 6025*z/4 - 411/4.
(z + 137)*(44*z - 3)/4
Determine z, given that -z**3/3 - 1891*z**2/3 - 26033*z - 271803 = 0.
-1849, -21
Suppose -605*i**3 - 143275*i**2 - 2910000*i - 15480000 = 0. Calculate i.
-215, -120/11
Suppose -490*o**3 + 1961*o**2 + 2446*o - 5 = 0. What is o?
-1, 1/490, 5
Let 2*c**5/7 + 66*c**4/7 - 302*c**3/7 - 194*c**2/7 + 1020*c/7 - 592/7 = 0. What is c?
-37, -2, 1, 4
Suppose c**4 + 314*c**3/7 + 3496*c**2/7 - 2166*c - 30
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
a**(4/5)
Simplify ((c**(-2/9)/c)**(7/10))**(3/4) assuming c is positive.
c**(-77/120)
Simplify w**(6/11)*w/(w*w**11/w*w) assuming w is positive.
w**(-115/11)
Simplify ((p**(-2/5))**(-22))**41 assuming p is positive.
p**(1804/5)
Simplify b**(-9/5)*b/b**(2/99) assuming b is positive.
b**(-406/495)
Simplify q*q*q*q/((q/(q**(9/4)/q))/q*q)*q*q**8 assuming q is positive.
q**(53/4)
Simplify ((n*n**(-5/3)*n*n*n)/(n/(n**(3/7)*n)))/((n**0*n)/n)**(-2) assuming n is positive.
n**(58/21)
Simplify ((x*x*x**(2/35))/x)/(x**(2/59)/x*x) assuming x is positive.
x**(2113/2065)
Simplify ((z*z*(z**(-4)/z)/z*z)**(-38))**(-6/5) assuming z is positive.
z**(-684/5)
Simplify l**9/(l*l**(2/15)*l)*(l**(-2/5))**(37/5) assuming l is positive.
l**(293/75)
Simplify (l/l**(-3))/(l/(l**(1/27)*l)*l) assuming l is positive.
l**(82/27)
Simplify (l/l**(2/5))/(l*l**(-2/5)*l)*l**(1/4)/(((l**(4/9)*l)/l)/l) assuming l is positive.
l**(-7/36)
Simplify (w*(w/w**(-1/6))/w*w**(-2)/w*w*w)**(-1/12) assuming w is positive.
w**(-1/72)
Simplify (v/v**(-2/31))**(-1) assuming v is positive.
v**(-33/31)
Simplify (u/(u/(u/(u/u**(-1/3))*u))*u*u*u**(-1)*u)/(u/((u/(u*u**(-7)/u*u*u))/u)*u*u/(u*u/u**(-2))) assuming u is positive.
u**(26/3)
Simplify (r*r**(-1/9))/(r*r**(-1/14)*r) assuming r is positive.
r**(-131/126)
Simplify ((g*g**(-2/15))/g)**(-20) assuming g is positive.
g**(8/3)
Simplify ((v*v*v/(v**(-3/7)/v)*v*v)/v)**(3/10) assuming v is positive.
v**(57/35)
Simplify (y/(y*y*y/(y*y*y*y**(-2/9))))/y**(-1/5)*y**(6/5)/(y**(-6)/y) assuming y is positive.
y**(413/45)
Simplify x**(-2)/((x**(-23)/x*x)/x) assuming x is positive.
x**22
Simplify (z/(z/((z*z*(z**(-2/89)*z*z)/z*z)/z)))**(-4) assuming z is positive.
z**(-1060/89)
Simplify (c*c*(c/c**(-17/2))/c*c)**(3/4) assuming c is positive.
c**(69/8)
Simplify (h**(2/9))**(-1/7) assuming h is positive.
h**(-2/63)
Simplify o**(-3/4)*(o**3*o)/o*o/(o*o**(-2))*o**(5/6) assuming o is positive.
o**(61/12)
Simplify (w*w/(w/w**5*w))/(w**(-3/2)*w)*w**5/w**(-6) assuming w is positive.
w**(33/2)
Simplify v**(-1/16)/((v**(-5)*v)/v) assuming v is positive.
v**(79/16)
Simplify j**(-1/13)/j*j*j*j/j**20*j*j*j assuming j is positive.
j**(-196/13)
Simplify s/(s**17*s*s*s*s*s*s*s)*s*(s*s/s**(-13)*s)/s*s*s assuming s is positive.
s**(-5)
Simplify (b*b*b/((b*b*b**(-4/5))/b)*b*b)**43 assuming b is positive.
b**(1032/5)
Simplify (g*(g/g**(-1))/g)**(-2/21) assuming g is positive.
g**(-4/21)
Simplify (k/k**5)**12 assuming k is positive.
k**(-48)
Simplify ((m*m/(m/m**(-12)))/m)/(m/(m*m*m/(m**(1/13)*m)*m*m)) assuming m is positive.
m**(-118/13)
Simplify (v**(-1))**6*v**(-1/6)*v/(v/v**(-7)) assuming v is positive.
v**(-79/6)
Simplify (z/(z*(z*z*z**(-1/2))/z))**(-45)/(z/z**(2/3)*z)**(-3/11) assuming z is positive.
z**(503/22)
Simplify n*n*n/(((n*n**(-2))/n)/n)*n**(-5)*(n*n**(-1))**(-19/4) assuming n is positive.
n
Simplify (s/s**33)**(-6) assuming s is positive.
s**192
Simplify (g*g/g**(2/7))**14*(g**(-2/5))**(-24) assuming g is positive.
g**(168/5)
Simplify c**(-12)/c**10 assuming c is positive.
c**(-22)
Simplify ((b**2)**5)**(-1/4) assuming b is positive.
b**(-5/2)
Simplify ((a/((a/a**(-3))/a))**(-26))**(9/4) assuming a is positive.
a**117
Simplify (w**(2/21))**(-36) assuming w is positive.
w**(-24/7)
Simplify (m**1/m**(-1))**(-22) assuming m is positive.
m**(-44)
Simplify (((x*(x**(2/19)/x)/x*x)/x)/x)/(x*x/x**(-4/11)) assuming x is positive.
x**(-890/209)
Simplify ((q/(q*q*q**5/q*q))/q**(-1/8))/((q/(q**(-9)/q*q))/(q*(q*q**(2/5))/q)) assuming q is positive.
q**(-579/40)
Simplify y**(2/29)/((y**(1/16)*y)/y) assuming y is positive.
y**(3/464)
Simplify (r*(r/(r/r**(-24)))/r)/r*r/((r/((r*r/(r/((r/(r*r/r**12*r*r))/r)))/r*r))/r) assuming r is positive.
r**(-15)
Simplify (r**(1/2)*r**(-2/7))**(-6) assuming r is positive.
r**(-9/7)
Simplify n*n**(3/8)*n*n*n**(-16) assuming n is positive.
n**(-101/8)
Simplify (m*m*m*m**(-2/11))/(m*m*(m**(11/3)*m*m)/m) assuming m is positive.
m**(-127/33)
Simplify (k*k**(-8/7))/k*k**(2/11)*k assuming k is positive.
k**(3/77)
Simplify n**(-6)*n**(-1/4)*n*(n*n/n**0*n*n)**(2/47) assuming n is positive.
n**(-955/188)
Simplify ((((v*v**(-1)*v)/v)/v)/v*v)/v*v**(-11/3) assuming v is positive.
v**(-17/3)
Simplify (p**(-8)/p**(1/4))/(p*p**(-2/7))**(8/11) assuming p is positive.
p**(-2701/308)
Simplify u**31/(u*u**(-1/36)) assuming u is positive.
u**(1081/36)
Simplify (h**(-8))**(-32) assuming h is positive.
h**256
Simplify w**(-3/32)*w*(((w/w**(-2/21))/w)/w)/w assuming w is positive.
w**(-671/672)
Simplify (((x**(-7/3)*x)/x)/x)/(x*(x*(x**(10/3)/x)/x)/x) assuming x is positive.
x**(-17/3)
Simplify h*h**(-11/3)/h*h*h**(-9/7)/h*h*h*h assuming h is positive.
h**(-41/21)
Simplify g*g/g**3*g/((g**3*g)/g*g)*(g/(g/(g/((g/((g/(g/(g/(g/(g**(-3/8)/g)*g))))/g*g*g)*g)/g)*g)))/(g**1*g) assuming g is positive.
g**(-51/8)
Simplify ((s*s**(2/15))/s*s*s**(-7))**8 assuming s is positive.
s**(-704/15)
Simplify d*d**(-3/14)*d*d**16 assuming d is positive.
d**(249/14)
Simplify (((b*b**(2/11)*b)/b)/b*b**(-2))/(((b*(((b*b**(1/4))/b*b)/b)/b*b)/b)/((b*b**0)/b*b)) assuming b is positive.
b**(-47/44)
Simplify (p/(p/p**(-4))*p)**(-5) assuming p is positive.
p**15
Simplify a**(2/33)/(a/a**(-4)) assuming a is positive.
a**(-163/33)
Simplify (y*y/(y/y**(-2)*y))/y**(-4/3)*(y*y**(2/25))/((y*y/y**(4/3)*y)/y*y*y) assuming y is positive.
y**(-169/75)
Simplify (n**(-2/11)*n*n**(-1/7))/((n*n**(-2/7)*n)/n)**13 assuming n is positive.
n**(-663/77)
Simplify ((y**(-13)*y)/y*y/(y*y**(1/8)))**(31/4) assuming y is positive.
y**(-3255/32)
Simplify n*n**(-3)*n**(1/11)*n*n*n*n/n**3*n/n**(1/5) assuming n is positive.
n**(-6/55)
Simplify (c/c**(-5)*((c/(c**(-7)/c))/c)/c)/(((c/(c/(((c**1*c)/c*c*c*c)/c)))/c*c)/c)**(13/2) assuming c is positive.
1
Simplify r**(9/5)/r*r*r**(-8) assuming r is positive.
r**(-31/5)
Simplify t**5/(t*t**(-10)*t) assuming t is positive.
t**13
Simplify (v/v**(-9/7))/((v/(v/v**(-2)*v*v))/v) assuming v is positive.
v**(51/7)
Simplify ((f/(f**1*f))/f)**(-2)/((f*f*f**(-3)/f*f)/f)**44 assuming f is positive.
f**92
Simplify ((l/(l**8*l*l))/((l**(2/3)*l)/l))/(l*l/(l**1*l)*l)**(2/17) assuming l is positive.
l**(-499/51)
Simplify (j/(j/(j*j**28))*j)/j*j*j/((j*j**26/j*j)/j)*j*j assuming j is positive.
j**7
Simplify n/n**9*n**(2/7) assuming n is positive.
n**(-54/7)
Simplify (o**(1/3)*o*o*o/(o/(o**8/o)))/(o/(o*o**(1/2)))**9 assuming o is positive.
o**(83/6)
Simplify (u**(-2/5)*u**(1/4))/(u**(-3/5)/(u/(u*u*u/u**(-2/11)))) assuming u is positive.
u**(-381/220)
Simplify (y**(2/7)*y*(y*y*y**3)/y)**(5/3) assuming y is positive.
y**(185/21)
Simplify (z**3*z*z*z*z**(-7))**(8/13) assuming z is positive.
z**(-8/13)
Simplify (w**(4/5)*w*w**(3/4))**(-47) assuming w is positive.
w**(-2397/20)
Simplify i**28/i**(-7) assuming i is positive.
i**35
Simplify ((z/(z/((z**34*z)/z)))/z*z)/z*z*z**28 assuming z is positive.
z**62
Simplify (x**38*x)/(x/(x**(4/7)/x)) assuming x is positive.
x**(263/7)
Simplify ((f**2*f)/((f/f**(3/7))/f))/((f*f/(f/(f/(f*f**(1/8)/f*f)*f)))/(f/(f*f/f**(2/7)))) assuming f is positive.
f**(47/56)
Simplify (((s**(-2/9)/s)/s)/s*(s/s**3)/s*s*s)**39 assuming s is positive.
s**(-494/3)
Simplify (k*k**3*((k/(k/(k*k/((k/(k*k*k*k**1*k*k)*k)/k))))/k)/k)**(4/13) assuming k is positive.
k**(36/13)
Simplify (q/q**(-1/2))**(-2/11)*(q/(q**(-7)*q)*q)/(q**(-2)*q) assuming q is positive.
q**(96/11)
Simplify (n*n*(n*(n*n**(-6))/n*n)/n*n*n**7*n*n)**(2/75) assuming n is positive.
n**(14/75)
Simplify (d**(-9)/d)/(d*d/(d/d**(-9)))*(d**(2/3)/d)**(-2/3) assuming d is positive.
d**(-16/9)
Simplify ((a/((a/(a/a**(-5/3)))/a*a)*a)/(a/(a**3/a)))**19 assuming a is positive.
a**(266/3)
Simplify (r*((r**(-6/7)/r)/r)/r*r*r/(r*r*r*r*r**(1/4)*r))**5 assuming r is positive.
r**(-855/28)
Simplify b*b*b**(-2/9)*b**(2/35) assuming b is positive.
b**(578/315)
Simplify ((b**(-1/3)*b)/b**0)**(-7) assuming b is positive.
b**(-14/3)
Simplify (v**(-1))**18 assuming v is positive.
v**(-18)
Simplify ((c/c**5*c)**5)**(-1/45) assuming c is positive.
c**(1/3)
Simplify (f**0)**(19/2)/(f**(1/4)/f**(2/3)) assuming f is positive.
f**(5/12)
Simplify (((f**3*f)/f)/(f**8*f))/(f*(f*(f*f*f/(f*f/(f*f**7)))/f)/f*f**0/f*f) assuming f is positive.
f**(-15)
Simplify w**(-1/16)*(w/w**(2/19)*w)/w assuming w is positive.
w**(253/304)
Simplify y**(2/89)/(y
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
x**(217/9)
Simplify (d**(-38)*((d**(-22)/d)/d)/d)**(-2/7) assuming d is positive.
d**18
Simplify ((x/(x**(-13)*x*x))/(x**(-14)/x))/((x**(-18)*x)/(x*x**(-2/3)/x)) assuming x is positive.
x**(130/3)
Simplify (((g*g**(-3/5))/(g/g**(-12/11)))/(g*g**(-2/19)*g*g*g**(2/23)*g))**(-27/4) assuming g is positive.
g**(3681207/96140)
Simplify f/f**(-16)*f**6*(f*(f**(-3/2)/f*f*f)/f)/((f/(f*f**(-5)/f*f))/f*f*f) assuming f is positive.
f**(33/2)
Simplify (v**(-7))**(3/26)*v/v**27*v**(1/4) assuming v is positive.
v**(-1381/52)
Simplify (q*q*q**13*q)/q*q/q**17*q**(2/21)/q**7 assuming q is positive.
q**(-166/21)
Simplify (q*q**(-18))/(q**6*q)*(q*q**(-23))/q**7 assuming q is positive.
q**(-53)
Simplify (q/(q*q**(6/19)))/((q**(-17)/q)/q*q)*(q*q/q**(-10))**(-14) assuming q is positive.
q**(-2856/19)
Simplify ((g*g**(-3/10)*g)/(g/(g**(-1)*g)))/(g**(2/3)/(g*(g**(-6/11)/g*g*g)/g)) assuming g is positive.
g**(161/330)
Simplify (((g**(-1/4)*g)/(g*g**(-1/7)*g))**(-28))**(-1) assuming g is positive.
g**(-31)
Simplify ((z/((z/z**(4/7))/z))/z)**15/(z**(-1/19)*z**5) assuming z is positive.
z**(482/133)
Simplify (u*u/u**4*u**(4/7))/(u**(3/7))**(1/7) assuming u is positive.
u**(-73/49)
Simplify ((v*(v**(1/7)*v)/v*v*v**(1/6))**(1/4))**(-25) assuming v is positive.
v**(-2425/168)
Simplify ((m/m**(-48))/(m/m**21))**(-43) assuming m is positive.
m**(-2967)
Simplify (((d*d/((d*d/((d*d**(6/13))/d)*d)/d)*d)/d)/d)**(-13)/(d*d*(d*(d**(-2/7)*d)/d*d*d)/d)**(-3/4) assuming d is positive.
d**(137/14)
Simplify y**(-2/35)/((y*(y*y*(y**(1/13)/y)/y)/y*y)/y)*(y*(y/(y/(y**(2/5)/y)))/y)**(6/5) assuming y is positive.
y**(-1943/2275)
Simplify (w**(-2/5))**(-1/2)/((w**12/w)/(w**(3/7)*w)) assuming w is positive.
w**(-328/35)
Simplify ((((j**(-1)/j*j)/j)/j)**(-32)/((j**(-8/5)*j)/(j/(j**(-9)*j)*j)))**(-3/32) assuming j is positive.
j**(-1599/160)
Simplify (n**(-1/9)/n**(2/5))**(-14/5) assuming n is positive.
n**(322/225)
Simplify ((o**(1/2)/o)**27*(((o**(-1/4)/o)/o)/o*o)**50)**(6/23) assuming o is positive.
o**(-756/23)
Simplify (k*k**11)/k**(8/5)*k**(-4/5)/(k**(1/10)*k) assuming k is positive.
k**(17/2)
Simplify z**(-12)/(z**(-11)/z)*z**1*(z*z/(z/(z**(-1/5)/z)))/z assuming z is positive.
z**(-1/5)
Simplify (b/b**(6/7)*b/b**7*(b**1/b*b*b)**44)**23 assuming b is positive.
b**(13225/7)
Simplify (p**(-2/19)/(p*p**(1/16)))/(p**(-3/17)/(p/p**(-20))) assuming p is positive.
p**(103405/5168)
Simplify ((z*(z**(-4/5)/z)/z)/z**(2/13)*z**4/(z*z/(z/(z*z*(z/z**(-6))/z))))**(-26) assuming z is positive.
z**(904/5)
Simplify ((y*y**(1/36))**27)**(2/53) assuming y is positive.
y**(111/106)
Simplify (k*k/((k/k**0*k)/k)*k**(-3))/((k*k**(2/23))/k**(2/3)) assuming k is positive.
k**(-167/69)
Simplify (((w**(2/5)*w*w)/w)**(-2/13)/((w*w**(-5))/w**(-3/2)))**5 assuming w is positive.
w**(297/26)
Simplify ((p/p**(-1/4)*p/(p**(2/5)*p)*p)/(p**0)**35)**2 assuming p is positive.
p**(37/10)
Simplify (g**(-14))**(-43)*g**(1/7)*g*g**10*g assuming g is positive.
g**(4299/7)
Simplify (k**(-17))**(1/78)/(((k/(k**(-6)/k))/k)/(k/(k**(-2/59)*k))) assuming k is positive.
k**(-33061/4602)
Simplify m**(10/3)*m**(-10/7)*((m/(m**(-3)/m))/m)**36 assuming m is positive.
m**(3064/21)
Simplify (w/(w*w*w**(-6)/w))/w*w**(-10)/w*w**(-3)*w/((w/(w/(w/w**(-2/17))))/w) assuming w is positive.
w**(-138/17)
Simplify i*i/i**(-3/7)*i*i*i*(i*i*i/((i**(-2/27)*i)/i*i))/i*i*(i/((i**(-4/7)/i)/i)*i)/i*i*i*i**10 assuming i is positive.
i**(623/27)
Simplify (n**(-1))**(-21/5)/(n**2/((n/(((n*n**(-16)*n)/n)/n))/n)) assuming n is positive.
n**(91/5)
Simplify (h**1)**(-8)/(h*h*h**11*(h/h**2)/h*h) assuming h is positive.
h**(-20)
Simplify (((((o*o/(o*o**(1/3))*o)/o)/o)**22)**(1/33))**(5/9) assuming o is positive.
o**(-10/81)
Simplify (s**(-1/2))**(-2/161)*s*s*(s/s**(-12/11))/s*s*s*(s*s**13)/s assuming s is positive.
s**(32050/1771)
Simplify ((j/j**7)/j**(-1/2)*j**(6/5)*j*j**(-5))**(2/131) assuming j is positive.
j**(-83/655)
Simplify (o*o**(-15))**(-4)/(o/(o*o/(o/(o/(o**(2/15)/o))*o))*o**(-2/21)) assuming o is positive.
o**(5981/105)
Simplify z**(-4)*z*z**(-11/5)*z*(z**(-5)*z)**(34/5) assuming z is positive.
z**(-157/5)
Simplify (s**(-9)/s)**(-28)/(s**(1/6)*s/(s/(s*s/((s*s/(s/(((s*s**(-13))/s)/s)))/s)))) assuming s is positive.
s**(1583/6)
Simplify i**15*i**(-25/4)*(i**(-13))**(22/3) assuming i is positive.
i**(-1039/12)
Simplify (w**(-3/7))**10*(w*w*w/(w/w**(-27)))/(w*w**(-1/4)) assuming w is positive.
w**(-841/28)
Simplify ((b**(-2/13))**(-22))**(-4/13) assuming b is positive.
b**(-176/169)
Simplify (x**(-1/9))**(37/4)/(x*x/(x/x**(-29))*x**(-3/7)/x) assuming x is positive.
x**(7157/252)
Simplify a**(-8)*(a*a**1/a*a)/a*(a*(a**(-2)*a)/a)**(-20/7) assuming a is positive.
a**(-29/7)
Simplify (x/(x*x/x**(-2/5)))**(-49)*x**(1/46)/x*x**(15/7) assuming x is positive.
x**(112321/1610)
Simplify w**(1/5)/w**(-7/5)*(w/((w/(w**(1/4)*w)*w)/w))/w**7 assuming w is positive.
w**(-83/20)
Simplify ((o/o**(-2/3))**(-15/2)/((o*o/(o*o**(-2/11)*o))/(o*o**(2/3)/o)))**2 assuming o is positive.
o**(-793/33)
Simplify (h**(5/2)*h*h**19/h*h)**(-26) assuming h is positive.
h**(-585)
Simplify ((h*(h**(-20)/h)/h)/h)/((h/h**(-17/4))/h)*(h**(1/2))**(-50) assuming h is positive.
h**(-205/4)
Simplify (v/v**(-1/10))/(v*v/(v/v**(-5/8)))*(v**(-3/2))**(-37) assuming v is positive.
v**(2249/40)
Simplify ((b/(b**(-1/5)/b))**(1/3)*b/b**(-6)*b**(-2/17))**(-2) assuming b is positive.
b**(-3884/255)
Simplify ((b**(-3/11)*b*b**(-2/5)*b*b)**(-20/7))**30 assuming b is positive.
b**(-15360/77)
Simplify (d/((d*d*d/(d/(d**(-2/25)*d))*d)/d))/(d**(-2/3)/d*d)*(d*d*(d*d*d*d/d**(-7/2))/d*d)/(d/(d/(d/(d/d**22)*d))) assuming d is positive.
d**(-2213/150)
Simplify (f**(-1))**(-11/4)*(f**(2/9))**(-40) assuming f is positive.
f**(-221/36)
Simplify (w**10/w)**(-41/5)/(w/w**(2/7)*w)**(18/13) assuming w is positive.
w**(-34659/455)
Simplify ((u**(-15))**(5/3))**(-28) assuming u is positive.
u**700
Simplify (q*q**(-7)*q*q**5/q)/(q*q*q/(q*q**(2/15)*q)*q**(-2/11)*q) assuming q is positive.
q**(-443/165)
Simplify i**8*i*i**(2/31)*i**(-5)*i**(-3/5)*i assuming i is positive.
i**(692/155)
Simplify o*o**3*o**(-5/6)/o*(o*o/o**(1/13)*o*o)/(o*o**(1/23)*o*o) assuming o is positive.
o**(5465/1794)
Simplify ((s/(s/(s/(s*s**(5/6)))))/(s*(s**(8/3)/s*s*s)/s*s*s))**(-1/15) assuming s is positive.
s**(13/30)
Simplify (u**(-12)/(u/u**19))/(u**(-20)/(u**(3/2)*u)) assuming u is positive.
u**(57/2)
Simplify (((a**(-1/3))**(-23))**(1/34))**(10/11) assuming a is positive.
a**(115/561)
Simplify (u/(u*u**10*u)*u/(u*u**(2/13)/u))/((u*u/(u/(u*(u*u/((u*u**(-4/5)*u)/u))/u*u)))/u**(7/4)) assuming u is positive.
u**(-3173/260)
Simplify (((j/((j**(-4/5)/j)/j*j*j))/((j/j**(4/3)*j)/j))/(j**6*j**(6/11)*j))**(-1/30) assuming j is positive.
j**(893/4950)
Simplify ((w**(1/3)/w)/(w/w**8)*((w/w**(-1))/w)**(-39))**28 assuming w is positive.
w**(-2744/3)
Simplify (w*w/w**(3/2))/(w/(w**(-17)*w)*w)*(w*(w/(w/((w/w**(-5/8))/w)))/w*w)/w**10 assuming w is positive.
w**(-207/8)
Simplify (a**(-22)*a/a**(1/27))/(a**(-19)/((a*a*a**(-16/3)*a*a)/a)) assuming a is positive.
a**(-118/27)
Simplify (z/z**(-27)*z/((z*z/z**(-16))/z))/((z/(z*z*z**14)*z)/z)**(-4/13) assuming z is positive.
z**(96/13)
Simplify (l/l**(-2/27))**(-13)/((l*l**(-6/11))/l*l*l**16) assuming l is positive.
l**(-9034/297)
Simplify (s**4/s)**(4/17)/(s**(4/17)/s*s**5) assuming s is positive.
s**(-60/17)
Simplify (((g*g**(1/5)*g*g)**(-8))**(-8))**(-27/7) assuming g is positive.
g**(-27648/35)
Simplify f**11/(f**(2/23)*f)*(((f*f/(f**(1/3)/f)*f)/f*f)/f)/f**7 assuming f is positive.
f**(385/69)
Simplify ((m**1*(m**(-2/15)/m)/m)**0)**(-27) assuming m is positive.
1
Simplify ((l**(3/5)*l*l/(l/(l/(l**(-5)*l)*l)))/((l*l**(-7/5)*l*l)/(l*l*l**(-1/3))))**(28/9) assuming l is positive.
l**(644/27)
Simplify ((g**(-3)/g)/g*(g/(g/g**(-4/11))*g)/g)/((g/(((g**(-2/3)*g)/g*g)/g))/g**(3/2)) assuming g is positive.
g**(-365/66)
Simplify ((g/(g*g**(1/10)))/g*g**(5/3)*g*g*g)/(g**0)**(-45) assuming g is positive.
g**(107/30)
Simplify (p*p/(p/(p/p**(-8)))*p**(-1)*p*p)/(p**(-1/3)*p*p*(((p**(-2/19)*p)/p)/p)/p) assuming p is positive.
p**(652/57)
Simplify ((m**(3/4)/m)/m*m**10)**12 assuming m is positive.
m**105
Simplify ((b/(b*b**(-3/5)))/b**11)/(b**(-33)/(b*(b*b*(((((b/b**(-22/9))/b)/b)/b*b)/b)/b*b)/b)) assuming b is positive.
b**(1127
|
{
"pile_set_name": "DM Mathematics"
}
|
401
What are the prime factors of 103993605?
3, 5, 83, 9281
List the prime factors of 6587956.
2, 1646989
What are the prime factors of 5865839730?
2, 3, 5, 23, 2833739
List the prime factors of 286236102.
2, 3, 19, 2510843
List the prime factors of 5480562660.
2, 3, 5, 41, 2227871
What are the prime factors of 346104826?
2, 73, 2370581
What are the prime factors of 86795302?
2, 11, 17, 232073
List the prime factors of 45335645.
5, 23, 394223
List the prime factors of 482890033.
821, 588173
What are the prime factors of 207784815?
3, 5, 7, 43, 46021
List the prime factors of 35273503.
211, 167173
What are the prime factors of 15759041?
15759041
What are the prime factors of 3368587428?
2, 3, 93571873
List the prime factors of 170673754.
2, 23, 3710299
What are the prime factors of 45441455?
5, 257, 35363
What are the prime factors of 253351069?
107, 2367767
List the prime factors of 101085659.
6997, 14447
What are the prime factors of 1616000?
2, 5, 101
List the prime factors of 143772147.
3, 15974683
List the prime factors of 186120282.
2, 3, 47, 660001
What are the prime factors of 26493081?
3, 8831027
List the prime factors of 23482124.
2, 37, 158663
What are the prime factors of 193917626?
2, 7, 3677, 3767
List the prime factors of 47992788.
2, 3, 1333133
What are the prime factors of 2820985311?
3, 1217, 772661
What are the prime factors of 118251652?
2, 29562913
List the prime factors of 79850214.
2, 3, 4436123
What are the prime factors of 2658118690?
2, 5, 109, 389, 6269
List the prime factors of 53919518.
2, 701, 38459
What are the prime factors of 913657929?
3, 547, 556769
List the prime factors of 61141954.
2, 199, 153623
List the prime factors of 228949815.
3, 5, 2389, 6389
What are the prime factors of 122895099?
3, 593, 23027
List the prime factors of 164858587.
139, 1186033
What are the prime factors of 905006472?
2, 3, 443, 85121
What are the prime factors of 1555764123?
3, 37, 43, 325951
What are the prime factors of 543889280?
2, 5, 11, 23, 3359
What are the prime factors of 1076294788?
2, 269073697
List the prime factors of 1769622179.
13, 136124783
List the prime factors of 1693940586.
2, 3, 13, 37, 586951
List the prime factors of 170592454.
2, 107, 797161
List the prime factors of 4521870796.
2, 257, 4398707
List the prime factors of 113655788.
2, 23, 1235389
List the prime factors of 653639792.
2, 13, 3142499
What are the prime factors of 115460738?
2, 57730369
List the prime factors of 261251828.
2, 65312957
What are the prime factors of 232394222?
2, 116197111
What are the prime factors of 90999377?
7, 41, 317071
What are the prime factors of 89205517?
6733, 13249
What are the prime factors of 1046248456?
2, 11, 103, 115429
What are the prime factors of 77477997?
3, 53, 487283
What are the prime factors of 1448321346?
2, 3, 80462297
What are the prime factors of 123202766?
2, 23, 2678321
List the prime factors of 594575967.
3, 23, 61, 141263
What are the prime factors of 479435870?
2, 5, 17, 2820211
What are the prime factors of 42356616?
2, 3, 23, 76733
What are the prime factors of 3126291419?
61, 823, 62273
What are the prime factors of 3235380270?
2, 3, 5, 37, 659, 4423
List the prime factors of 4038421057.
11, 31, 127, 93251
List the prime factors of 957896817.
3, 41, 7787779
What are the prime factors of 1670627646?
2, 3, 1117, 27697
What are the prime factors of 3576756633?
3, 17, 70132483
List the prime factors of 2413061102.
2, 1206530551
List the prime factors of 439734852.
2, 3, 17, 53, 4519
What are the prime factors of 90445367?
90445367
List the prime factors of 32660910.
2, 3, 5, 17, 21347
What are the prime factors of 2187099?
3, 243011
List the prime factors of 38064384.
2, 3, 5507
List the prime factors of 32377556.
2, 191, 42379
What are the prime factors of 17477886?
2, 3, 167, 17443
List the prime factors of 4961318117.
7, 907, 781433
What are the prime factors of 28246855?
5, 7, 13, 62081
List the prime factors of 483882604.
2, 120970651
List the prime factors of 1522956130.
2, 5, 6247, 24379
List the prime factors of 361433023.
7, 53, 974213
List the prime factors of 42896011.
157, 433, 631
What are the prime factors of 2033559298?
2, 1016779649
What are the prime factors of 2360838470?
2, 5, 61, 3870227
What are the prime factors of 302251973?
302251973
What are the prime factors of 426393308?
2, 11, 1427, 6791
List the prime factors of 42237580.
2, 5, 7, 11, 27427
List the prime factors of 326222178.
2, 3, 54370363
What are the prime factors of 589093178?
2, 877, 335857
What are the prime factors of 3596429315?
5, 73, 1511, 6521
What are the prime factors of 148360913?
1993, 74441
List the prime factors of 444122631.
3, 1297, 38047
List the prime factors of 17098572.
2, 3, 1424881
What are the prime factors of 4564207350?
2, 3, 5, 83, 122201
What are the prime factors of 61946392?
2, 1831, 4229
List the prime factors of 67593648.
2, 3, 1408201
List the prime factors of 107819245.
5, 29, 397, 1873
List the prime factors of 2074772138.
2, 61, 3121, 5449
List the prime factors of 244831703.
244831703
List the prime factors of 41051168.
2, 41, 67, 467
What are the prime factors of 708758262?
2, 3, 4375051
List the prime factors of 49755553.
49755553
List the prime factors of 81566604.
2, 3, 7, 67, 4831
List the prime factors of 96725104.
2, 7, 17, 37, 1373
List the prime factors of 268625055.
3, 5, 17908337
What are the prime factors of 594592751?
594592751
What are the prime factors of 388133931?
3, 197, 656741
List the prime factors of 62477411.
163, 383297
List the prime factors of 628397301.
3, 7, 3407, 8783
What are the prime factors of 74453618?
2, 179, 207971
What are the prime factors of 941654566?
2, 227, 2074129
List the prime factors of 19431101.
19431101
What are the prime factors of 1972616871?
3, 657538957
What are the prime factors of 448179177?
3, 17, 516931
What are the prime factors of 41652435?
3, 5, 11, 53, 433
List the prime factors of 710354437.
13, 2633, 20753
What are the prime factors of 382619199?
3, 79, 1181, 1367
What are the prime factors of 806156486?
2, 23, 103, 229, 743
What are the prime factors of 294251886?
2, 3, 811, 6719
List the prime factors of 556087314.
2, 3, 92681219
List the prime factors of 552142156.
2, 138035539
List the prime factors of 230402036.
2, 1259, 45751
What are the prime factors of 258352230?
2, 3, 5, 17, 506573
List the prime factors of 5144394697.
13, 83, 647, 7369
List the prime factors of 1410012954.
2, 3, 7, 53, 70381
List the prime factors of 73427786.
2, 2617, 14029
List the prime factors of 267141267.
3, 9894121
What are the prime factors of 99140580?
2, 3, 5, 7, 11, 23, 311
List the prime factors of 10962241.
10962241
What are the prime factors of 567212967?
3, 47, 1340929
List the prime factors of 4311518.
2, 19, 83, 1367
List the prime factors of 35563975.
5, 31, 109, 421
List the prime factors of 435887968.
2, 19, 137, 5233
List the prime factors of 1409945106.
2, 3, 1213, 193727
What are the prime factors of 26561714?
2, 2053, 6469
List the prime factors of 346305782.
2, 173152891
List the prime factors of 31691875.
5, 50707
What are the prime factors of 226459391?
1597, 141803
What are the prime factors of 1441696668?
2, 3, 19, 1163, 5437
What are the prime factors of 1947619102?
2, 11, 13, 61, 111637
What are the prime factors of 49973716?
2, 13, 961033
What are the prime factors of 1822074664?
2, 6449, 35317
What are the prime factors of 90719002?
2, 11, 4123591
What are the prime factors of 387571473?
3, 4784833
What are the prime factors of 69146838?
2, 3, 43, 97, 307
List the prime factors of 1235241304.
2, 11, 14036833
List the prime factors of 1074515053.
1759, 610867
What are the prime factors of 46482336?
2, 3, 79, 227
What are the prime factors of 7497675809?
13, 59, 787, 12421
List the prime factors of 164531410.
2, 5, 2729, 6029
What are the prime factors of 5844787008?
2, 3, 173, 175963
What are the prime factors of 680027917?
19, 35790943
List the prime factors of 391462408.
2, 227, 215563
What are the prime factors of 2089136?
2, 7, 23, 811
What are the prime factors of 550325131?
11321, 48611
List the prime factors of 118575322.
2, 97, 611213
List the prime factors of 17231282.
2, 103, 233, 359
List the prim
|
{
"pile_set_name": "DM Mathematics"
}
|
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