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lculate (-4 - (-4 - 6)) + 4 + 4.
14
Evaluate -13 + (4 - 21) - -36.
6
What is the value of 4 + -3 - (-6 - -1) - (48 - 45)?
3
What is -23 + (0 - -45) + 15?
37
Calculate (14 - 7) + (6 - -1 - 3).
11
Calculate (-19 - (6 + 12 - 25)) + (2 - 1).
-11
Evaluate 6 + (4 - 23) - (-2 - -5).
-16
What is the value of (-44 - -53) + (1 - 11) + -12?
-13
What is 10 + (13 - (-3 - -4) - 12)?
10
Evaluate 2 + -53 + 54 + (24 - 4).
23
What is the value of (26 - 57 - -18) + 9?
-4
What is -15 + -10 - (6 - 28)?
-3
Evaluate -26 - (7 + -23 + (-4 - -4)).
-10
Evaluate -10 + -4 + (5 - (-6 + (4 - -1))).
-8
What is the value of 4 + (-3 - 1) + (-1 - (-13 + 1))?
11
What is 32 - 1 - (6 - 2 - (82 - 86))?
23
What is the value of 12 + (2 - (12 - -1)) + -3?
-2
What is the value of (-10 - 2) + (95 - 90)?
-7
Evaluate (0 - -17) + (-18 - (54 + -17)).
-38
Evaluate (7 - 31) + -28 + 47.
-5
-83 + 86 + (-11 + 7 - 3)
-4
Evaluate -20 + 9 - (-7 - 5).
1
Calculate -9 + 0 + (512 - 513).
-10
(28 + -12 - 6) + -31
-21
Evaluate -43 + 54 + -31 + 46.
26
Evaluate 4 + (20 - 32) + -20.
-28
Evaluate -10 - -4 - 7 - (0 - -3) - -4.
-12
Evaluate (12 - (-17 - -29) - (2 + -1)) + -5.
-6
What is 4 + 17 + -13 - (7 - -18)?
-17
3 - (0 + (-25 - -9))
19
(6 + -7 - 3) + 0 + -2 + 1
-5
Calculate -4 + 11 + 1 + -3.
5
Calculate -17 + (-1 - (1 - (19 + -9))).
-9
What is the value of -3 - 0 - (-4 - (-10 - 1 - -11))?
1
What is the value of 64 + -60 - (2 + -2 + 1)?
3
What is the value of -598 - -594 - (10 + -2 - -2)?
-14
Calculate (2 - (3 + (28 - -1))) + (-160 - -163).
-27
What is (70 - 69) + -8 + 30?
23
What is the value of (-3 + 10 - 23 - -7) + 16 + -15?
-8
Evaluate 5 + (3 - (-2 + (-4 - -4)) - 8).
2
What is the value of (-7 - -14) + 28 + -21?
14
What is the value of 0 - (-26 + -14 - -17 - (-6 + 1))?
18
What is -31 + (-3 - -1) + (-10 - -15) + -13?
-41
Calculate -3 - (41 - 15) - -51.
22
Calculate (-1 - (-17 - -10)) + 8 - 0.
14
What is the value of (23 - 14 - 3) + (-4 - (-3 - 9))?
14
23 - (28 - -8) - -13
0
What is the value of 9 - -16 - 4 - 8?
13
-4 - (5 - (-5 + -2 + (-2 - -7)))
-11
Evaluate 13 - (-14 - (12 + -16)).
23
What is 11 + (-19 - -7) + -17 - -11?
-7
-11 + (53 - 16) + -46
-20
What is 55 + -21 - 12 - 33?
-11
Evaluate -9 - -12 - (-6 + (5 - 4) + 12).
-4
Evaluate 64 - 103 - (-17 + -4).
-18
Calculate -14 - -10 - (5 + -20).
11
-501 + 491 - (-33 - 1)
24
Calculate 1 + -1 - (-19 + (-15 - -17) + 29).
-12
What is (-70 - (-13 + -24)) + 12?
-21
What is the value of -8 + 12 + 37 - 23?
18
What is the value of -3 + 7 - -15 - (6 + (3 - 10))?
20
Calculate (-8 - -20) + 1 + (-19 - -20).
14
What is the value of (-5 - (10 - 28)) + -7 + -4 + 0?
2
Evaluate 7 - (-11 + 10 + 8) - (1 - -2).
-3
What is 16 - (20 - 9) - (1 + 6 + -3)?
1
Calculate 1 - (9 - (8 - -7) - 7).
14
Evaluate -20 + 24 - (-46 + 25).
25
Calculate (4 - -2) + 5 + -7 + 10.
14
-15 - (-38 + 31 - 17)
9
Calculate (-7 - (9 + -5 + 4)) + 6.
-9
Calculate 17 + -18 + 9 - (1 + 0 + -9).
16
Evaluate 1 + -3 - (24 + (23 - 49)).
0
-14 + 2 - (186 + -201)
3
5 + -22 - -20 - (-3 + -1)
7
Evaluate 14 + 13 + (-11 + -4 - -4).
16
What is -113 - -126 - (1 + 15)?
-3
Evaluate -18 - (-6 - (2 + (-1 - (0 + 2)))).
-13
What is the value of 4 - (2 - -2 - (-18 - -14)) - 8?
-12
What is (-4 - 17) + -372 + 364?
-29
-3 + 9 + 217 + -204
19
(-123 - -125) + -4 + 1
-1
Evaluate (1 - 5) + (-4 - -21) + 3.
16
Calculate -49 - (20 + -19 - 25).
-25
-2 + 3 - (-49 + 38)
12
What is the value of -30 - 44 - (-61 - -24)?
-37
Calculate (-10 - 2) + (14 - 6).
-4
Evaluate (0 - 6 - (11 + -24)) + 1 + 7.
15
Calculate 27 - (11 - (-19 - -23)).
20
Calculate (6 - (-5 - (-1 - 6))) + 2 - -6.
12
What is 7 + 11 + -13 - (3 - (-3 - 0))?
-1
What is the value of -9 - ((38 - -2) + -38)?
-11
Evaluate 4 + -3 - (-42 - -51) - 6.
-14
Evaluate -28 + (-13 - (12 - 29)).
-24
Calculate -20 + 12 + 17 - (-10 - 2).
21
What is 4 - (-7 - (2 + 0))?
13
Evaluate -1 + -1 - -8 - (-1 + 6 - -16).
-15
Calculate (2 - -8) + (0 - (6 + -6)).
10
Calculate -8 + 9 + (0 - (-4 - -5)).
0
What is the value of (5 - 33) + 9 + 4 + -7 + -3?
-25
-16 + (12 + 0 + -9 - -4)
-9
What is -14 + (-3 - 0) + -1 + (-130 - -137)?
-11
What is 22 - 28 - (-23 + 2)?
15
What is the value of 5 - (8 + -4) - (44 - 37)?
-6
What is the value of -6 - (-6 + 3) - (48 - 66)?
15
-3 + 8 + 393 + -376
22
Calculate -8 - (7 - (3 + (6 - 6) - 5)).
-17
What is the value of -6 + 0 + 369 + -331?
32
What is the value of 25 - 18 - (30 + (-2 - (-9 - -2)))?
-28
Calculate 0 + 6 + 17 + -18 - (-3 - 2).
10
What is -1 - 28 - (-36 + 9)?
-2
Calculate 27 + (-1 - 5) + (1 - 8).
14
What is (-6 - -11 - 19) + (-4 - 8) + 7?
-19
What is the value of -7 - (1 + 4 + -26 + 13)?
1
-1 - -1 - (-17 + 6 + 0)
11
Calculate (-3 - (-11 - 11)) + -16.
3
What is the value of -27 + 71 + -24 + 3?
23
What is 13 + -5 + (-1 - 8) + -7?
-8
Evaluate -18 - 1 - (14 - 0 - (78 - 56)).
-11
What is -24 - -8 - (48 + -43)?
-21
Calculate -917 + 923 + (-2 - (9 - -1)).
-6
Calculate 5 - (7 - -1 - -2) - -7.
2
41 + -44 - (-1 - -8) - -5 - -18
13
-12 + (-8 - -41 - 17) + 5
9
Evaluate -11 + (-4 - 8 - -8) + 5.
-10
Calculate 27 + 5 + -38 + 0 + -1.
-7
What is -7 + (2 - (-7 - -6 - -4)) + 5?
-3
Calculate -17 - (12 - 9) - -9.
-11
(-17 - 29) + -7 - -29
-24
Evaluate -47 - -54 - (1 + 7) - 7.
-8
Calculate 2 + (-7 - -11 - 10) + 14.
10
What is the value of (2 - 0) + (17 - 26) + 15?
8
Calculate 35 - (85 + -21) - -1.
-28
What is 2 + (8 + -2 - (10 + -9))?
7
What is the value of 12 + 1 + (-207 - -202)?
8
What is 54 - 71 - (16 + -50)?
17
What is -21 - (12 - (81 + -27))?
21
1 + (-6 + 8 + -21 - -4 - 3)
-17
Calculate 21 + -32 + 12 + -31.
-30
What is the value of -1 + -14 + 23 + -8 + -7 + 1?
-6
Calculate (2 - ((2 - 0) + 1)) + (-8 - -2).
-7
What is -2 + (-4 - -20) - 15 - -27?
26
Calculate -4 + -1 + 14 + (8 - 2 - 6).
9
Evaluate -3 + 3 + 6 - (72 + -73).
7
30 + -43 - (2 - (5 + -3))
-13
What is the value of -8 + (25 - 25) + (1 - -6)?
-1
What is 12 + -12 + 1 - (-4 - -2)?
3
What is the value of (-75 - (16 + -39)) + 29?
-23
17 + -9 - 1 - (-3 + (-6 - -3))
13
What is the value of 2 + 5 - (20 - -7 - 4) - 0?
-16
What is the value of (23 - (-18 - 0)) + -37?
4
Calculate (6 + -2 - 11) + (18 - 15).
-4
Calculate (-92 - -85) + (-17 - -3).
-21
Evaluate (3 + -12 - -3) + 9.
3
What is the value of (37 - 8) + -2 - -3 - (-15 + 23)?
22
Evaluate -24 - (24 - 13 - 20).
-15
Calculate -9 + (6 - (-8 + 1 - (15 + -27))).
-8
4 + -1 + (7 - 1) + (13 - 7)
15
Calculate 1 + 4 + (-37 - -35).
3
Evaluate (-5 - (0 - 2)) + (-233 - -232) - -22.
18
Calculate 14 + (15 - -6 - 52).
-17
Calculate 3 - (-12 + 13) - 1.
1
Evaluate (32 - 37 - (0 + -2 + -5)) + -7.
-5
6 - (-11 + 11 + 3)
3
5 + -10 - -12 - 1
6
What is (-27 + 28 - -11) + -1?
11
What is the value of -3 + (-3 + (-2 - 5) - -2)?
-11
What is the value of -22 - -14 - (-11 + -8)?
11
Calculate 25 + 9 - (3 + (0 - (-5 - 1))).
25
What is 1 - (5 - 4) - -10 - -9?
19
4 - ((-4 + 1 - (-31 - -7)) + 0)
-17
What is 21 + -1 + (-53 + 73 - 51)?
-11
What is (-20 - (-17 + 35)) + 12 + 2?
-24
What is -14 + 22 + -5 + 1 + (1 - -3)?
8
Calculate -4 + 0 + (-9 - -4) + -3.
-12
What is the value of -5 - (1 + -2 + 17 + -144 + 137)?
-14
What is (11 - (29 + -9)) + -2 + 0 + -2?
-13
What is the value of 0 + 1 - ((13 - (-4 + 5)) + -4)?
-7
What is the value of 0 - (-12 + 11 - -7 - 30) - -2?
26
What is the value of -170 - -160 - (-4 - (-6 - 4))?
-16
8 - (-31 + 15) - 25
-1
Evaluate (5 - (-12 - -8)) + 9 - 23.
-5
Evaluate -15 + (84 + -27 - 33).
9
What is the value of (4 - 2) + 2 - (236 + -220)?
-12
What is -12 + -5 + (6 - 1) + -6?
-18
What is the value of (-2 - -12) + -10 - (2 + 2 - 4)?
0
-670 + 671 - (1 - (0 + 1 - 0))
1
27 - (-28 + 7 - -59)
-11
10 - (-5 - (-21 - 3))
-9
-22 - (-24 - -7) - (2 - (-14 + 1))
-20
Evaluate -30 + -3 + 18 + 10 + -7.
-12
What is -68 + 78 + (-3 - -1)?
8
Evaluate (-97 - -86) + 6 + -6 + 37.
26
What is the value of -14 - (2 - 9) - -6?
-1
What is 54 + -42 - (-1 - -14)?
-1
Evaluate 249 + -257 + (-4 - 1 - 0).
-13
11 + -7 + -5 - (9 + 0 + 1)
-11
What is -8 + 7 - (-18 - -43)?
-26
-1 + (-1 + 3 - (-12 - (-21 + 14)))
6
-7 - (-9 - (-12 + 6))
-4
What is the value of -3 + 8 - (5 + -1 + -13 - -35)?
-21
What is 9 + (18 - 4) + -9 + (8 - 6)?
16
Evaluate 1 + (-3 - 13) + 18.
3
(13 - (6 - 2)) + -11 + 19
17
What is 19 + 0 - (10 - (6 - 5))?
10
What is 6 - (9 + 1 + 4 + (-4 - -1))?
-5
Evaluate 7 - (-1 + (-17 - -10)).
15
Calculate 12 + -16 - -40 - 19.
17
Wh | {
"pile_set_name": "DM Mathematics"
} |
- 9. Calculate the least common multiple of ((-5)/(-4))/((-9)/(-36)) and t.
10
Suppose 2 = -3*a - 7. Let p be 2*-1*(4 - a). Calculate the common denominator of 2/(-4) - 72/p and -73/2.
14
Let d = -34 + 36. What is the least common multiple of d and 22?
22
Suppose 7*b = 4*b + r - 13, 2*b = 4*r - 22. Let l = b - -15. What is the lowest common multiple of l and 20?
60
Let c be ((-4)/6)/((-4)/(-6)). Let p be (-2759)/((c - -2)*-2). Let b = 15130/11 - p. Calculate the common denominator of -107/18 and b.
198
Let l = 95703/16 + -5987. Calculate the common denominator of 3 - 28/(-40)*-17 and l.
80
Let z be (-1)/2*(-6)/(-30)*0. Let d(f) be the third derivative of -f**4/24 + 11*f**3/3 + f**2. Calculate the smallest common multiple of 10 and d(z).
110
Let i = -4 - -5. Let b = i + 49. Suppose b = 5*s - 0*s. Calculate the smallest common multiple of 9 and s.
90
Suppose -5*x - 22 + 72 = 0. Let a(s) = -s**2 + 4*s + 3. Let o be a(5). What is the least common multiple of x and ((-1)/o)/(3/24)?
20
What is the lowest common multiple of 3 and (14/21)/((-3)/(-36))?
24
Let o = 424480/11 + -38540. Let b = -4089/88 + o. Find the common denominator of b and 115/6.
24
Suppose g + 1 = 5*q - 3*q, 0 = -2*g + 3*q. What is the smallest common multiple of 6 + (-1 - -3) + 0 and g?
24
Suppose 0 = -5*f - n - 29, 0 = 4*f - 4*n - n. Let m(g) = -3*g**2 + 7. Let u be m(f). Find the common denominator of (u/(-72))/((-2)/(-6)) and 13/12.
12
Let i be 6/(-5) + (-24)/30. Find the common denominator of (-39)/18*5 - i and 103/6.
6
Let o(r) be the second derivative of r**3/6 + 13*r**2/2 + 3*r. Let x be o(-10). Suppose -x*f + 4 = -2*f. Calculate the lowest common multiple of f and 10.
20
Let p be 2/5 - (-108562)/(-80). Let r = 1361 + p. Calculate the common denominator of r and ((-8)/(-3))/4 - (-106)/(-96).
16
Suppose 0 = 10*w - 16*w + 126. Calculate the smallest common multiple of 18 and w.
126
Calculate the least common multiple of 6 + (3 - 0) + 0 and 6.
18
Let c be ((-1138)/4)/(11*4). Let b = -13/22 - c. Find the common denominator of b and 29/4.
8
Let w = 63 + -29. Let l = w - 16. What is the least common multiple of 2 and l?
18
Let w = 379/328 + 50/41. What is the common denominator of 63/10 and w?
40
Let s = 1/1927 - -159939/3854. Calculate the common denominator of s and (6/15)/(9/125).
18
Find the common denominator of 143/18 and 42/63*(-194)/24.
18
Suppose 15 = 3*p + 12. Calculate the least common multiple of p and 2.
2
Let o = -2 + 5. Suppose 2*r - 4*t + 14 = 0, 3*r = 5*r - o*t + 9. Suppose -4*u = -0*u - 44. Calculate the lowest common multiple of r and u.
33
Let w = 18578/9 + -2062. Let i be -1 - (1 + 46521/(-2868)). Let a = i - -7/239. Find the common denominator of w and a.
36
Let m be (45/25)/((-3)/(-10)). Suppose 4*j + m = -z, 7 + 1 = -2*j. Calculate the smallest common multiple of z and 18.
90
Let y be ((-2)/25)/((-129)/5). Let g = y + -8401/5160. Calculate the common denominator of (-9)/45*(-1270)/(-24) and g.
24
Let r = 0 - -2. Suppose 3*c + 9 = -3*g, g = -4*c - r*g - 11. Calculate the common denominator of 83/8 and c + (72/33)/3.
88
Let w be (-3 + 8 - 3) + 0. Suppose -w*u = -4*u + 2. Let k(q) = 2*q**3 - q**2 + q. What is the least common multiple of k(u) and 18?
18
Let t(n) = -18*n - 2. Let f be t(-2). Let v = -18 + f. Calculate the least common multiple of v and 8.
16
Let y = 1425/8 + -4879/24. Let s be 2591*((-16)/(-20) - 1). Let u = -10799/20 - s. Find the common denominator of y and u.
12
Let b(c) = -c**3 - 13*c**2 + 5. Suppose -5*l + 49 = -m + 2*m, 5*l + 3*m = 57. What is the lowest common multiple of l and b(-13)?
45
Suppose 2*g + g + 2*f = 1, -4*f = 2*g + 10. Find the common denominator of ((-6)/(-9))/(28/183) and 26/(-132) + 1/g.
154
Let t = 1/9541 + 1211695/114492. Let j = -907 - -520. Calculate the common denominator of t and ((-1)/(-3))/(24/j).
24
Let b = 199/2 + -275/3. Calculate the common denominator of -65/18 and b.
18
Let c = 54 - 38. What is the least common multiple of c and 20?
80
Let j = 1245 - 8657/7. Find the common denominator of j and 33/10.
70
Let p = -13 - -23. Suppose 13 - 3 = 5*d. Let r = p - d. Calculate the least common multiple of r and 12.
24
Let j = -544/5 - -108. Find the common denominator of j and -15/2.
10
Suppose -10 = -3*t + 8. What is the common denominator of t/(-18) - 86/(-96) and ((-1)/5)/(18/1005)?
48
Suppose -3*n = -7*n + 8. What is the least common multiple of n - -12 - (1 - -2) and 8?
88
Suppose 3*r - 7 = -2*o, 2*o - r - 40 = -13. Suppose 5*u + 9 = -6. Let a = u - -6. Calculate the smallest common multiple of a and o.
33
Suppose 3*l = 0, 0*g = g + 4*l - 47. Let r = -33 + g. What is the common denominator of 93/20 and 390/(-126)*r/(-4)?
60
Let o be 10/10 + (-520306)/(-24). Let t = -21668 + o. What is the common denominator of 95/6 and t?
12
Let z be 25/7 + 36/(-63). Suppose -15 = z*p - 6*p. What is the least common multiple of 10 and p?
10
Let j(q) = 6*q - 17. What is the common denominator of j(-5) and 5/6?
6
Let u = 308045/22 + -14006. What is the common denominator of u and 17/4?
44
Suppose -4*d = -o + 3*o + 110, -5*o - 5 = d. Find the common denominator of (86/d)/(2/(-3)) and -28.
10
Let v(b) = b + 15. What is the least common multiple of 4 and v(-9)?
12
Let v = 133/2 + -55. What is the common denominator of 2/((-291)/(-59) - 5) and v?
2
Let t(k) = -k**3 - 4*k**2 - 3*k + 2. Let o(y) = -y**2 - 4*y - 3. Let n be o(-4). Calculate the smallest common multiple of t(n) and 3.
6
Let s = 6676 + -2773. Let x = s - 85843/22. Find the common denominator of -119/20 and x.
220
Suppose 10 = -5*x - 0*x. Let k = x - -2. Suppose k*z + 3*z + 12 = 4*a, 4*z = 0. Calculate the smallest common multiple of 9 and a.
9
Let u be (-6)/(-1 - 2) + -14. Calculate the least common multiple of (u/(-5))/((-2)/(-15)) and 6.
18
Let i = -44 + 54. What is the least common multiple of 18 and i?
90
Let m be (-1810)/(-908) - (0 - -2). Let s = -7031/908 + m. What is the common denominator of 13/3 and s?
12
Let z = -249 + 3975/16. Calculate the common denominator of 54/28 - (-12)/4*-1 and z.
112
Let w = 215 + -829/4. Find the common denominator of w and 0 - (28/3 - -1).
12
Let i be (-1)/(-2 - 93/(-48)). Suppose 3*x - i = 7*x - 3*w, 3*x - 1 = -w. Calculate the least common multiple of 3 + (x - -2) + 5 and 8.
72
Let n be (3/((-3)/547))/(-1). Let i = 1621/3 - n. Find the common denominator of i and 49/(-12) - 1/4.
3
Let q(w) = w**3 - 6*w**2 - 7*w + 8. Suppose -14 = 4*r - 38. Let u = 13 - r. Calculate the smallest common multiple of q(u) and 22.
88
Let p = -21371/20 - -1069. Let j = -99/20 + p. Calculate the common denominator of -31/18 and j.
18
Let g be 19/9*3*-3. Let f = g - 26. What is the common denominator of -71/10 and f/(-7) - (-2 - -3)?
70
Suppose -5*t + 47 = 2*n - 0*t, 3*t = 4*n - 55. What is the lowest common multiple of n and 22?
176
What is the common denominator of -4 - -9 - 320/84 and -71/9?
63
Let d = 37088215/3982 + 73100/1991. Let c = -9353 + d. Find the common denominator of c and -143/18.
198
Let r = -12/1115 + -74537/15610. Let s be ((-3)/(-6))/(3/36). What is the common denominator of r and (230/36)/((-2)/s)?
42
Calculate the common denominator of (-34)/84 + (-2)/(-6) and (-28)/(-5)*75/(-54).
126
Let c = 11 + 11. Calculate the least common multiple of c and 18.
198
What is the smallest common multiple of 10 and (-1)/3 - ((-65)/15 + 2)?
10
Calculate the common denominator of -62/9 and 0 - 1/((-12)/(-118)).
18
Suppose -4 = 4*m + 4. Let u be m/(-10) - 9485/(-200). Let t = 47 - u. Calculate the common denominator of -151/6 and t.
24
Let o = -28 + 22. What is the common denominator of (-8)/(-12) - (-53)/o and 121/10?
30
Let x = 48 + -21. Calculate the least common multiple of 27 and x.
27
Let m = 4 - 4. Suppose m*s - 22 = -s. What is the smallest common multiple of s and (8 + -2)*11/3?
22
Suppose 0 = -5*i - 0*i + 60. Suppose -k = -i - 10. What is the lowest common multiple of 8 and k?
88
Let f be (-2 - -1)*3 - 5. Let u = f + 17. What is the smallest common multiple of 7 and u?
63
Let u be 4/(-10)*(-8 - 2). Let g = 4 - 6. Let z = g + u. What is the lowest common multiple of 8 and z?
8
Let v = -360/332573 + 129017379461/6984033. Let i = v - 18477. Calculate the common denominator of 39/10 and i.
210
Let k = -6067 - -36293/6. Find the common denomi | {
"pile_set_name": "DM Mathematics"
} |
6. Let p(n) = -7*n - 5. Let y(x) = 163*x**2 + 2283*x + 8. Let a be y(-14). Give a*l(c) - 7*p(c).
13*c - 1
Let p(o) = 19*o - 72. Let s(m) = 2*m. Give 2*p(h) - 18*s(h).
2*h - 144
Let g(n) be the third derivative of n**4/24 - 4*n**2. Let c be (0 + 9)/(-113 + 110). Let h(d) = -2*d**3 - d**2 + 5*d. Calculate c*g(y) + h(y).
-2*y**3 - y**2 + 2*y
Let y = 5473 - 5480. Let g(c) = -3*c + 29. Let x(a) = -2*a + 19. Give y*x(i) + 5*g(i).
-i + 12
Let b(i) = -729*i**2 + 10*i + 29. Let z(n) = 1458*n**2 - 18*n - 53. Give 11*b(a) + 6*z(a).
729*a**2 + 2*a + 1
Suppose c + 8 = 5*c. Suppose 0 = 3*k - 22 - c. Let r(h) = -5*h - 14. Let x(n) = 5*n - 5 - 12*n + 5*n. Calculate k*x(p) - 3*r(p).
-p + 2
Let x(w) = w. Let j(u) = -2 + 18715*u + 1 - 9358*u - 9356*u. Calculate 4*j(l) - 3*x(l).
l - 4
Let m = 108 - 97. Suppose 28*w - 73 = 39. Let c(r) = 6*r**2 + 3*r - 4. Let s(g) = -17*g**2 - 8*g + 11. What is m*c(v) + w*s(v)?
-2*v**2 + v
Let w(s) = -1. Let l(j) = 2*j. Let b(u) = -2*u**3 + 89*u**2 - 798*u - 59. Let p be b(32). Give p*w(i) + l(i).
2*i - 5
Let f(g) be the third derivative of -3/20*g**5 + 26*g**2 + 0*g - 5/24*g**4 - 1/2*g**3 + 0. Let p(c) = -26*c**2 - 14*c - 8. Give 14*f(v) - 5*p(v).
4*v**2 - 2
Let b(g) = -3*g**2 - 6*g - 4. Suppose 1045 = 90*m + 5*m. Let h(s) = 8*s**2 + 17*s + 11. Give m*b(z) + 4*h(z).
-z**2 + 2*z
Let h(m) = -813371*m + 5624. Let n(w) = -1446*w + 10. Determine -5*h(a) + 2812*n(a).
703*a
Let s(k) = -9*k + 1. Let n(z) = 644*z - 7730. Let g be n(12). Let i(p) = 9*p - 2. What is g*i(f) - 3*s(f)?
9*f + 1
Let m(d) = 3*d + 21. Let q(l) = -40*l - 295. Let w(k) = -55*m(k) - 4*q(k). Let o(v) = -10*v - 8. Let s be o(-1). Let j(r) = -r + 6. Calculate s*w(z) - 9*j(z).
-z - 4
Let j(i) = 3*i - 6. Suppose -1905 = -20*g + 1355. Let h = g - 159. Let a(u) = -2*u + 6. What is h*j(x) + 5*a(x)?
2*x + 6
Let p(j) = j**2 - 3*j - 5. Suppose -5*a = -2*k + 25 + 2, -3*k + 3 = 5*a. Let f(g) = -g**2 + 2*g + 4. Give a*f(o) - 2*p(o).
o**2 - 2
Let y(r) = -r**2 + 7*r + 8. Let l(o) = -3*o**2 + 9*o + 10. Determine 3*l(u) - 4*y(u).
-5*u**2 - u - 2
Let b = 25709 - 25720. Let t(c) = c + 9. Let l(n) = 2. Give b*l(w) + 2*t(w).
2*w - 4
Let d(t) = 14*t + 9. Let f(v) = 7*v + 4. Let x(u) = u**3 - 21*u**2 - 19*u - 61. Let q be x(22). Suppose -q*y = 3*y - 72. What is y*f(n) - 4*d(n)?
7*n
Let b(g) = -2*g**2 + 6*g - 9. Let p(o) = -4*o**2 + 993 + 2*o**2 - 387 - 614 + 5*o. What is -3*b(t) + 4*p(t)?
-2*t**2 + 2*t - 5
Let f(a) = 40*a**2 + 3*a. Let t(b) = -85*b**2 - 17*b + 6. Let h(d) = d**2 + 2*d - 1. Let w(c) = -6*h(c) - t(c). Determine -5*f(m) + 3*w(m).
37*m**2
Let w(c) = 11*c**2 - 715*c + 6. Let x(a) = 9*a**2 - 715*a + 5. What is -5*w(p) + 6*x(p)?
-p**2 - 715*p
Let v(h) = 38*h**3 + 485*h**2 - 7. Let k(c) = 12*c**3 + 162*c**2 - 2. What is -7*k(o) + 2*v(o)?
-8*o**3 - 164*o**2
Let l(x) be the third derivative of -3/8*x**4 - 12*x**2 + 2/3*x**3 + 0*x - 2. Let b(p) = -18*p + 9. Determine 6*b(a) - 13*l(a).
9*a + 2
Let o(v) = -7*v - 321*v**3 + 4*v**2 + 648*v**3 - 5 - 3*v**2 - 3*v**2 - 326*v**3. Let y(z) = z**3 - 2*z**2 - 8*z - 6. Calculate -6*o(a) + 5*y(a).
-a**3 + 2*a**2 + 2*a
Let n(f) = -4941*f**3 - 610*f**2 + 305*f + 915. Let x(i) = 65*i**3 + 8*i**2 - 4*i - 12. Give -4*n(r) - 305*x(r).
-61*r**3
Let b(k) = -5*k**3 + 6*k - 6. Let u = 23532 - 23545. Let x(q) = 11*q**3 - 13*q + 11. Determine u*b(l) - 6*x(l).
-l**3 + 12
Let q(f) = -5*f**3 - 11*f**2 + 2*f + 11. Let r(d) = 3*d**3 + 6*d**2 - d - 6. Let s = 4803 - 4797. What is s*q(l) + 11*r(l)?
3*l**3 + l
Let c(h) = -6*h + 1. Let m(y) = 22*y + 408. What is 4*c(r) + m(r)?
-2*r + 412
Let i(g) = -91*g + 4783. Let h(z) = 16*z - 797. Calculate 34*h(w) + 6*i(w).
-2*w + 1600
Let a(z) = -154*z**3 - 8*z**2 + 152*z - 8. Let j(o) = 51*o**3 + 3*o**2 - 52*o + 3. Calculate -3*a(q) - 8*j(q).
54*q**3 - 40*q
Let o(v) = -v - 9. Let p(s) be the third derivative of s**4/12 + 19*s**3/6 - 3*s**2. Let u = 102922 + -102918. Determine u*p(i) + 9*o(i).
-i - 5
Let t(d) = 302*d - 2115. Let f be t(7). Let k(h) = h - 1. Let s(i) = -2 + 0 - 7 + 3. What is f*k(p) + s(p)?
-p - 5
Let g(v) = -3*v - 4. Let x(a) = 8*a + 7. Let r(o) = -11*g(o) - 6*x(o). Let k(c) = 8*c - 1. Give 11*k(u) + 6*r(u).
-2*u + 1
Let d(h) = -2833*h**3 + 6*h**2 + 25*h. Let v(p) = 1888*p**3 - 4*p**2 - 18*p. Determine -5*d(b) - 7*v(b).
949*b**3 - 2*b**2 + b
Let j(x) = 1194*x**3 - 11*x + 14. Let q(w) = 400*w**3 - 4*w + 5. Give -4*j(b) + 11*q(b).
-376*b**3 - 1
Suppose 0 = d + 4*d - 15. Let h(a) = -a + a**3 - a + a**2 + d*a. Let u(l) = 25*l**2 - l - 22*l**2 + 12*l - 7*l + 4*l**3 - 2. Calculate 3*h(b) - u(b).
-b**3 - b + 2
Let s(d) = -50*d - 16. Let c(u) be the first derivative of -17*u**2/2 - 5*u + 1065. Calculate 16*c(y) - 5*s(y).
-22*y
Suppose -5*u = 9*u + 42. Let x(g) be the third derivative of -g**5/15 + 3*g**4/8 - g**3/2 - 3*g**2. Let p(t) = 2*t**2 - 5*t + 2. Give u*x(y) - 5*p(y).
2*y**2 - 2*y - 1
Let j(x) = -1188*x + 415. Let m(t) = 1189*t - 333. Calculate 4*j(g) + 5*m(g).
1193*g - 5
Let n(w) = 5*w - 1. Suppose 5 - 8 = -h - 4*r, -4*r + 15 = 5*h. Let g(l) = -49055 + h*l + 49055. Give 7*g(v) - 4*n(v).
v + 4
Let x(p) = -23. Let k(n) = 32. Let r(m) = -5*k(m) - 7*x(m). Let a(o) be the third derivative of o**4/24 - o**3/2 + 10*o**2. What is -2*a(l) - 6*r(l)?
-2*l
Let y be (-6 + 1)*(-12)/(-10). Let s(r) = 2*r**3 + 6*r**2 - 6. Suppose q = -2*t + 15, 3*q - 3*t + 14 + 4 = 0. Let w(g) = -1. Determine q*s(o) + y*w(o).
2*o**3 + 6*o**2
Let v(a) = -20*a**2 - 5. Let p be 5*(-10)/(-25) - (6 + -3 - 3). Let b(j) = -5*j**2 - 1. Calculate p*v(c) - 9*b(c).
5*c**2 - 1
Let z(o) = -214*o - 23. Let u(b) = 224*b + 29. Determine -4*u(c) - 5*z(c).
174*c - 1
Let q(r) = 65*r + 6. Let t(i) = 137*i - 446*i + 141*i - 2 + 146*i. Calculate -4*q(y) - 11*t(y).
-18*y - 2
Let r(v) = v + 70. Let p(i) = -i - 3103. Determine p(d) + 2*r(d).
d - 2963
Let y(c) = -c**3 + c**2 - c - 1. Let b(u) = 4*u**2 - 4*u - 1 + 465*u**3 - 1 - 4 + 0*u - 464*u**3. Calculate b(h) - 4*y(h).
5*h**3 - 2
Let a = 2721 + -2722. Let b(q) = -2*q - 6. Let l be b(-5). Let g(x) = 5*x - l*x + 0*x. Let c(u) = -u**3 + u. Determine a*c(f) - g(f).
f**3 - 2*f
Let u(n) = 19*n**2 - 71*n - 121. Let i(g) = 9*g**2 - 31*g - 60. Calculate 9*i(z) - 4*u(z).
5*z**2 + 5*z - 56
Let t(q) = -q**3 - 2*q - 2. Let x(b) = 523 + b + 459 - 979. Determine -3*t(c) - 2*x(c).
3*c**3 + 4*c
Let y(v) be the second derivative of v**5/20 + v**2/2 + 12*v - 13. Let a(u) = u**3. Give -6*a(d) + y(d).
-5*d**3 + 1
Let b(o) = -o**2 + o - 6. Let s(v) = -5*v**2 + 2*v - 83. Calculate -b(q) + s(q).
-4*q**2 + q - 77
Let w(k) = 5*k**2 + 3*k - 1. Let s(u) = -4*u**2 - 10*u + 13. Let t(d) = -d - d - 3 + 8*d - 4*d. Let b(q) = s(q) + 4*t(q). What is 6*b(n) + 4*w(n)?
-4*n**2 + 2
Let i(t) = -1. Let g(o) be the second derivative of o**4/12 + o**3/3 - 3*o**2 - 2*o. Let c be 11 + ((-1944)/9)/18. Calculate c*g(v) + 5*i(v).
-v**2 - 2*v + 1
Let m(k) be the first derivative of 4*k**2 - 5*k + 10. Let f = 54 - 60. Let n(w) = 7*w - 4. Calculate f*n(j) + 5*m(j).
-2*j - 1
Suppose -10*p + 6*p + 5*w + 3 = 0, 4*p + 9*w - 17 = 0. Let y(d) = -16*d + 31. Let m(c) = -3*c + 6. Determine p*y(s) - 11*m(s).
s - 4
Let z(x) = 5 + 4*x + 0 - 1. Let f(b) = 4493*b + 4. Let a be f(0). Let l(o) = 2. Calculate a*l(d) - 2*z(d).
-8*d
Let s(k) = 82*k**3 + 10*k**2 - 109*k + 46. Let q(n) = -31*n**3 - 4*n**2 + 36*n - 15. Determine 8*q(x) + 3*s(x).
-2*x**3 - 2*x**2 - 39*x + 18
Let q = 56 + -58. Let t be (q/14)/((-27)/189). Let h(g) = 4*g + 9. Let w(a) = 12*a + 26. Let k(r) = -14*h(r) + 5*w(r). Let o(c) = -1. What is t*k(m) + 5*o(m)?
4*m - 1
Let c = -186 - -300. Let y = c - 69. Let w(g) = 30*g**2 - y*g**2 + 24*g**2. Let x(o) = 3*o**2. What is -6*w(v) + 17*x(v)?
-3*v**2
Let l = 3754 - 3764. Let b(h) = -h**3 + 3*h**2 - h - 2. Let a(u) = -2*u**3 + 7*u**2 - 3*u - 5. Calculate l*b(m) + 4*a(m).
2*m**3 - 2*m**2 - 2*m
Let g(x) = -23*x + 128. Let w(s) = -24*s + 127. Give -6*g(v) + 5*w(v).
18*v - 133
Let t(f) = -2112*f**2 + 12*f + 4. Let d(p) = 2108*p**2 - 9*p - 3. What is -4*d(y) - 3*t(y)?
-2096*y**2
Let s(t) = -5*t - 18. Let f(y) = -y**2 - y + 43. Let x be f(-7). Let n(p) = p + 1. Give x*s(a) + 6*n(a).
a - 12
Let a(z) = -5*z**2 + 14*z + 4. Suppose 5*n - 13*q = 81, 12 = 2*n + 75*q - 70*q. Let v(b) = 9*b**2 - 27*b - 7. Calculate n*a(x) + 6*v(x).
-x**2 - 8*x + 2
Let i(l) = 202*l + 1819. Let t(u) | {
"pile_set_name": "DM Mathematics"
} |
c. Let r be z(c). Calculate the highest common divisor of r and 9.
9
Let b = 20 - 11. Let a(w) = -13*w + 7. Let f = 10 + -15. Let r be a(f). What is the highest common divisor of r and b?
9
Let x be 5*(-1 - (-141)/15). Let c be (1 - 1) + 48/8. Calculate the greatest common factor of c and x.
6
Let g = 47 - 29. Let h be (68/(-12))/((-2)/g). Let o(b) = b**2 - b - 8. Let u be o(-6). What is the highest common divisor of h and u?
17
Let n be 5 + -21*(-3)/9. Let d be ((-27)/(-12))/(2/16). Calculate the greatest common factor of n and d.
6
Let w(k) = 3*k**2 + 13*k + 14. Let z be w(-9). Calculate the highest common factor of z and 56.
28
Suppose -2*o = -5*o. Let t = -2 + o. Let c be (t - -1)/(2/(-20)). What is the highest common divisor of c and 5?
5
Suppose -u = -2*u. Suppose u*d = -p - 2*d + 78, -2*d + 218 = 3*p. Calculate the highest common factor of p and 14.
14
Let l = -84 + 156. Let h be (-1 - -2)*56/4. Suppose -5*t + 7 = 32, -t - h = -p. What is the highest common factor of p and l?
9
Let y(v) be the first derivative of 131/3*v**3 + v + 2 + 0*v**2. Let p be y(-1). Calculate the highest common divisor of p and 12.
12
Let p = -30 + 39. Calculate the greatest common divisor of 27 and p.
9
Let w be (-92)/(-28) - 2/7. Let k(v) = v**3 + 9*v**2 + 7*v + 1. Let b be k(-8). Calculate the greatest common divisor of w and b.
3
Let v(s) = s**3 + 4*s**2 + 2. Let u be (3 + -1)*(-9)/6. Let r be v(u). Calculate the highest common factor of r and 121.
11
Suppose -3*v + 1 = -5. Suppose c + 3*f = -0*c, f = -v*c - 15. Let g be ((-32)/(-6))/((-2)/c). Calculate the greatest common factor of g and 8.
8
Let w(h) = h**2 - 4*h + 2. Let o be w(6). Let u(f) = 21*f - 105. Let y be u(11). Calculate the highest common divisor of o and y.
14
Suppose 5*s = o - 20, 5*o - s - s = 8. Let k be (0 - o) + (-3 - -7). Let c = 2 + k. What is the highest common factor of c and 42?
6
Suppose 2*d = -2*d - 4*s + 236, 3*d = -5*s + 167. What is the greatest common divisor of 8 and d?
8
Suppose 0*i + 6*i - 198 = 0. Calculate the highest common divisor of 22 and i.
11
Let r be ((-16)/6)/((-4)/(-918)). Let i be 18/99 + r/(-22). What is the greatest common divisor of i and 42?
14
Let k = 25 - 1. What is the highest common factor of k and 60?
12
Suppose 3*b - 42 = f + 37, -5*b + 4*f + 120 = 0. What is the greatest common divisor of 308 and b?
28
Let s = -11 - -16. What is the greatest common factor of 2 and s?
1
Let w be ((-4)/6)/(2/(-3)). Let y be (w - 0) + (-2 - -5). Suppose -5*r + 3*l + 60 = 0, -r + y*l = r - 24. What is the highest common factor of 24 and r?
12
Suppose -2*i - 26 = -4*t, -3*t + 0*i + 4*i = -27. Let u(k) = k**3 - 3*k**2 + 6*k - 3. Let c be u(t). What is the highest common factor of 7 and c?
7
Suppose -3*m = -6*m + 9. Let z be 0 + 9 + m - -2. What is the greatest common factor of z and 35?
7
Let h be 4 + (327 - (-3 + 1 - -3)). What is the highest common divisor of 30 and h?
30
Let c(a) be the third derivative of a**5/60 + a**3/2 - 2*a**2. Let h be c(3). Let i = h + -7. What is the greatest common factor of i and 40?
5
Let g be 770/65 + (-4)/(-26). Let k be (0 - 12)/(1/(-8)). What is the highest common divisor of g and k?
12
Let q be (-1 + (1 - 1))*-8. Let g be ((-3)/(-1))/(9/21). Let m(j) = j**2 - 3*j - 8. Let r be m(g). Calculate the greatest common factor of q and r.
4
Let j(d) = 2*d - 11. Let m be j(10). Suppose 0 = 2*o + 5*y + 4, -o - 3*y + 4*y = -5. Calculate the greatest common factor of m and o.
3
Let w(u) = -u**3 - 4*u**2 - 11. Let v be w(-5). Calculate the highest common factor of v and 42.
14
Let j(q) = q + 17. Let v be j(-14). Let y = 4 - 1. What is the greatest common factor of v and y?
3
Let y = 16 - 23. Let p be 4/(-14) - (-12)/y. Let k be (3 - -9)*p/(-1). Calculate the highest common factor of k and 3.
3
Let y(b) = 4*b**2 + 9*b - 18. Let g be y(6). What is the highest common factor of 20 and g?
20
Suppose -2*s = -5*b + 146, 4*b + 40 = -5*s + 137. Suppose -15 = -3*f + 6. Calculate the highest common divisor of f and b.
7
Suppose 3*m + 7*g - 3*g = 407, 4*m - 522 = 5*g. Calculate the greatest common divisor of m and 19.
19
Let w(h) = h**3 - 4*h**2 + 4*h - 1. Let r be w(3). What is the highest common divisor of r and 6?
2
Let z(v) = -4*v + 45. Let b be z(9). Calculate the greatest common divisor of 9 and b.
9
Suppose -4*f = 5*j - 904, 2 = 2*f - 0*f. Suppose 2*n = -10, -4*n + 7*n + 67 = 4*i. Suppose 0 = -u + 7 + i. What is the greatest common factor of u and j?
20
Let u(o) = 2*o**2 + 15*o + 4. Let r be u(-7). Let j(i) = 3*i**2 + 1. Let d be j(r). Calculate the highest common divisor of 7 and d.
7
Let a(j) = 8*j - j**3 + 4 - 5 + 7. Let r be a(-5). Calculate the greatest common divisor of r and 13.
13
Suppose 0*o = -5*l - o - 178, 5*l = 2*o - 169. Let f = l + 50. Calculate the greatest common factor of f and 5.
5
Let h = -17 + 50. Calculate the greatest common factor of h and 3.
3
Let j be (-1416)/(-28) + 9/21. Calculate the highest common factor of 17 and j.
17
Let q(m) = 9*m - 1. Suppose 0 = -0*f - 2*f - 4. Let t = 3 + f. Let h be q(t). What is the highest common divisor of h and 32?
8
Let f = -33 + 130. Suppose -d = -f - 13. Suppose -4*k + 3*k = 5*x - 35, 5 = -k + 3*x. What is the greatest common divisor of k and d?
10
Let r(p) = p**2 + 9*p - 11. Let q be r(-10). Let g be q/(3 - 4) - -23. Suppose -2 = 4*b - 66. What is the greatest common factor of b and g?
8
Suppose -o + 4 = -5. Suppose -x - 3*x + 4*v = -8, 11 = -5*x - 2*v. Let c be 82/3 - x/(-3). Calculate the greatest common divisor of c and o.
9
Suppose 0 = 4*x - 3*p - 137, 4*x + 3*p - 260 + 93 = 0. Calculate the greatest common factor of x and 190.
38
Let x(f) be the third derivative of -f**4/2 - f**3/2 - 3*f**2. Let k be x(-9). What is the greatest common divisor of 15 and k?
15
Suppose 5*s = 15 + 80. Let j = 1 + s. What is the greatest common divisor of j and 20?
20
Let b(o) be the third derivative of -o**4/24 + o**3/6 + 4*o**2. Let f be b(-5). Calculate the greatest common factor of 66 and f.
6
Let i(l) = 5*l**2 + 1. Let v be 1/1*(1 - 0). Let p be i(v). Suppose k - p = -k. Calculate the greatest common divisor of 24 and k.
3
Let o(u) = -u**2 + 6*u + 9. Let f be o(7). Suppose l - 12 = -l + t, -2*l + f*t = -16. What is the greatest common factor of 10 and l?
2
Suppose 0 = 10*h - 5*h - 330. What is the highest common divisor of h and 6?
6
Let y(x) = 124*x + 2. Let l be y(1). Calculate the highest common factor of l and 18.
18
Let n = 6 + 11. Calculate the greatest common divisor of 136 and n.
17
Let i(b) = 3*b**2 + 8*b + 7. Let j = -6 - -1. Let l be i(j). Let c be (-2)/(-7) + 120/21. What is the greatest common factor of l and c?
6
Let v = -5 - -4. Let i be v/(1 - 3)*22. Calculate the highest common factor of i and 11.
11
Suppose 4*p - 2*v - 78 = 0, 15 + 46 = 3*p + v. Calculate the greatest common factor of 50 and p.
10
Let v(p) = -p**2 - 3*p + 2. Let k be v(-2). Suppose j + k*j = 5. What is the highest common factor of j and 1?
1
Suppose -4*x = -2*x + 36. Let r = x + 33. Calculate the greatest common factor of r and 75.
15
Suppose d - 2*d = -3*m + 182, 0 = 3*d + 6. Suppose 0 = -n - 2, 2*n + 10 = 2*v. Suppose 0 = v*s - 0*s - 45. Calculate the highest common divisor of s and m.
15
Let y(q) = 7*q + 5. Let x(i) = 6*i + 5. Let d(h) = -6*x(h) + 5*y(h). Let k be d(-7). What is the highest common factor of k and 2?
2
Let i = -132 + 195. What is the greatest common factor of 21 and i?
21
Suppose -5*c = -o - 44, 5*c + 3*o - 21 = 3*c. Suppose 4*w - 4*l - 384 = 0, -l + 498 = 5*w - 0*w. Calculate the greatest common factor of w and c.
9
Suppose 0 = -5*v - 4*y + 11, -5*v + 10 = -y - 6. Calculate the greatest common factor of 30 and v.
3
Let n(o) = 2*o**3 + 2*o**2 - 4*o - 2. Let c be n(-3). Let z be 788/52 + 4/c. Let j = 188 - 83. Calculate the highest common factor of z and j.
15
Let p be -40*((-12)/8)/3. Let t be (-3)/(-9)*3 + p. Let s = -6 + 13. What is the greatest common divisor of s and t?
7
Let s(h) = h**2 - 3*h - 14. Let n be s(-5). Calculate the greatest common factor of 39 and n.
13
Let o be 13 + 0 + 0/2. Calculate the highest common divisor of 130 and o.
13
Suppose 0 = 3*n + 3*n - 204. Calculate the greatest common divisor of 2 and n.
2
Suppose 42 = 5*l + 12. Calculate the highest common factor of 24 and l.
6
L | {
"pile_set_name": "DM Mathematics"
} |
e hundred thousand?
-2300000
Let l = 0.03676 + 45.03324. Let g = l + -0.07. Let k = -45.0019 + g. What is k rounded to three decimal places?
-0.002
Let p = -0.011 - -0.01099804. What is p rounded to seven dps?
-0.000002
Let h = 69 + -69.00594. Round h to 3 dps.
-0.006
Let y(q) = -148366*q**2 - 10*q + 4. Let v be y(7). What is v rounded to the nearest 1000000?
-7000000
Let f(z) = 373319*z + 41. Let b(t) = -93330*t - 10. Let n(w) = -9*b(w) - 2*f(w). Let k be n(6). Round k to the nearest one hundred thousand.
600000
Let t = -0.13 + -0.316. Round t to two dps.
-0.45
Suppose 5*k - 1 = -2*v, -2*v + 0*v = -2*k + 6. Let p = -6 - v. Let n be 1/p + (-143999996)/16. What is n rounded to the nearest 1000000?
-9000000
Let y = -4.02 - -2.3. Let a = 2 + y. Let g = -0.1 - a. What is g rounded to one dp?
-0.4
Let z = 2 - 2.6. Let i = -28.6 - z. Let v = i + 27.966. Round v to 2 dps.
-0.03
Let m be 4/(-6) + (-14)/(-3). Let i(b) = 56250*b**3 + b**2 - 3*b - 4. Let t be i(m). Suppose 0*k - t = -k. What is k rounded to the nearest one million?
4000000
Let l = -186.00000871 + 186. What is l rounded to six decimal places?
-0.000009
Let b(d) = -1 - 299*d - 1 - 2. Let x(r) = -2*r. Let m be x(-2). Let n be b(m). Round n to the nearest 1000.
-1000
Let t = -729 - -728.689. Let q = t + 0.23. What is q rounded to two decimal places?
-0.08
Let r = 0.317 - 0.31700343. Round r to 6 dps.
-0.000003
Let w = -150.6 - -143.51. Let u = w + 7.5. What is u rounded to 1 decimal place?
0.4
Let t(k) = -787*k**3 - 2*k**2 + 3*k - 2. Let z be t(2). Round z to the nearest 1000.
-6000
Let l = 64.7 - 9.4. Let d = -58 + l. Round d to zero dps.
-3
Let w = 19 - 10. Let n = w + -6. Suppose 2*v = -n*v - 465000. Round v to the nearest ten thousand.
-90000
Let r = 21.89 + -22. Let w = r + 0.10978. Round w to four decimal places.
-0.0002
Let z = -315.0922 + 315. Round z to 2 dps.
-0.09
Let f = -210538858117 - -210551833461.000026. Let m = -12975331 + f. Let i = 13 - m. Round i to 5 decimal places.
-0.00003
Let r = 0.02357 - -53.26643. Let d = r + -1.29. Let w = 52.00117 - d. Round w to 4 decimal places.
0.0012
Let s(y) = 2049752 + y**2 + y**3 - 2*y**3 - 12849752. Let z be s(0). What is z rounded to the nearest one million?
-11000000
Let c = -22.73 - -21.5. Let t = c + 1.229898. Round t to five dps.
-0.0001
Let l = 6 - 6.8. Let g = -243573 + 243573.799992. Let w = l + g. What is w rounded to 5 decimal places?
-0.00001
Let w = -5.5 - -6. Let z = -0.4999968 + w. Round z to 6 decimal places.
0.000003
Let m = -5.9 - -13. Let b = m + -7.1000031. What is b rounded to six decimal places?
-0.000003
Let j = 539668956 - 350546597. Let h = j - 189122266.999939. Let f = 92 - h. What is f rounded to 5 decimal places?
-0.00006
Let n = 0.08 - -0.09. Let d = -0.17016 + n. Round d to 4 decimal places.
-0.0002
Suppose 0*g + 5 = g. Suppose -34 = g*y + 26. Let i be 419998/3 + (-8)/y. Round i to the nearest 10000.
140000
Let l = 0 + 0. Suppose l*y + y = 3*x + 71, -2*y = 2*x - 182. Round y to the nearest 10.
90
Let i = -11 - -13. Suppose -3*q = -4353 - 9516. Suppose i*d - q - 8177 = 0. Round d to the nearest 1000.
6000
Let n = 10.289 + -10.2. Let g = 1.119 - n. Round g to one decimal place.
1
Let y = 163 + -163.00000249. What is y rounded to 7 dps?
-0.0000025
Let o = -272.9999861 + 273. What is o rounded to six decimal places?
0.000014
Let t = -3053 - -3053.08698. Let x = t - -37.10302. Let z = 37 - x. Round z to 1 decimal place.
-0.2
Let n = 100.74 + 0.26. Let y = n - 92.7. Round y to zero decimal places.
8
Let x = -38 - -21.1. Let l = x - -0.9. Let w = -16.112 - l. What is w rounded to 2 dps?
-0.11
Let z be 6/4 - (-14819)/14. What is z rounded to the nearest 100?
1100
Let p = -16 - -25. Let h = -8.99995 + p. Round h to five dps.
0.00005
Let l(q) = 3749*q**3 + 6*q**2 - q + 6. Let y be l(6). What is y rounded to the nearest 100000?
800000
Let j = -1874 - -6874. What is j rounded to the nearest 1000?
5000
Let p be (4815/2)/((-4)/216). Let q be 3/(-3)*(p - -2). Let y be -3 - q*(2 + -3). Round y to the nearest one hundred thousand.
100000
Let c = -3535.407 + -32.793. Let a = c - -3568.2299945. Let g = a + -0.03. Round g to six dps.
-0.000006
Let d(h) = 140756*h**2 + 2*h - 7. Let b be d(5). Let n = -5808903 + b. Round n to the nearest 100000.
-2300000
Let x = -0.31 + -0.73. Round x to one decimal place.
-1
Let m = 19665 - 19663.2359. Let r = -1.78 + m. Round r to three dps.
-0.016
Let m = 29.5 - 22. Let t = m - 9. What is t rounded to zero decimal places?
-2
Let f = -19 - -39. Let j = f - 20.22. Round j to one decimal place.
-0.2
Let k = -70274 + 124054. Suppose 3*f = 5706220 + k. What is f rounded to the nearest 100000?
1900000
Let z be 3*(17/3 - 2). Let u(o) = 3*o - 4 - z*o**2 + 0*o + 3*o**2 + 0*o. Let m be u(-3). Round m to the nearest 10.
-90
Let r = -0.309 - 0.135. Round r to two decimal places.
-0.44
Suppose -1440 = -113*t + 114*t. Round t to the nearest one hundred.
-1400
Let w = -0.23 - -4.21. Let p = w + -4. Let z = p + -0.078. Round z to two dps.
-0.1
Let f = -70 - -37. Let q = -33.00000046 - f. Round q to seven decimal places.
-0.0000005
Suppose 280 = -z - 3*z. Round z to the nearest 100.
-100
Let v be -1 + 2 + (-71 - 2). Let t = -5 + 12. Let n = v + t. Round n to the nearest 10.
-70
Let l = -320.4 - -295. Let t = l + 33. Let q = -9 + t. Round q to 0 decimal places.
-1
Let p = 170721773 + -170721855.000071. Let v = -82 - p. What is v rounded to 5 dps?
0.00007
Let d = 126.952 + -127. Round d to 2 decimal places.
-0.05
Let z = 1203.11 + -1209. What is z rounded to 1 dp?
-5.9
Let b = 2.95 - 3. Let v = 0.55 + b. What is v rounded to one decimal place?
0.5
Let x = -0.012 + -86.988. Let w = 89.47 + x. Round w to 1 decimal place.
2.5
Let w = 4 - 3. Let r = 1339291.999959 + -1339293. Let p = w + r. Round p to five dps.
-0.00004
Let r = 0.331 - 0.29. Let j = -0.04 + r. Let u = j + 0. What is u rounded to 3 dps?
0.001
Let i = -16.2 - -3.2. Let w = 12.28 + i. What is w rounded to one decimal place?
-0.7
Let y = -0.3 - -8.3. Let z = y - 8.00088. What is z rounded to four dps?
-0.0009
Suppose 0 = -o + 2*o - 87000. What is o rounded to the nearest ten thousand?
90000
Let o(u) = -u**3 - 5*u**2 + u + 6. Let q(r) = -r**2 - 5*r + 1. Let k be q(-6). Let v be o(k). Let s be ((-2)/4)/(v/(-144)). Round s to the nearest ten.
70
Let y = -11 - -10.55. Let z = 0.16 + 0.06. Let n = y - z. Round n to one dp.
-0.7
Let y = 28.83 - 29. Let a = -286226 + 286226.1700011. Let b = a + y. Round b to 6 decimal places.
0.000001
Let d = 12.30000184 - 12.3. What is d rounded to 7 decimal places?
0.0000018
Let j = -254 - -258.08. Let r = 0.08 - j. Let z = r + 4.006. What is z rounded to 2 dps?
0.01
Suppose -3*b = -2*k + 3019991, -4*k + 3*b + 6039991 = -0*b. Round k to the nearest 100000.
1500000
Let a = 3.92 - 0.08. Let r = -675158973.15999791 + 675158977. Let i = a - r. Round i to seven dps.
-0.0000021
Let y(u) = 5100001*u + 3. Let k be y(-3). What is k rounded to the nearest one million?
-15000000
Let o = -6 + 5.976. Let w = -3.124 - o. Round w to the nearest integer.
-3
Let s = 0.90000019 + -0.9. Round s to 7 dps.
0.0000002
Let c = -13 - -15. Let r = 1.99999954 - c. Round r to 7 decimal places.
-0.0000005
Let h = -47595 - -33225. Let b be -640*(h - 3 - 2). Suppose 0*i + b = -i. Round i to the nearest 1000000.
-9000000
Suppose 3600000 = -10*p + 5*p. What is p rounded to the nearest one hundred thousand?
-700000
Let c = -2702.100025 + 2702. Let x = -0.1 - c. What is x rounded to 5 dps?
0.00003
Let q(j) = -j. Let u(d) = 74*d**2 + 10*d - 3. Let s(z) = 22*q(z) + 2*u(z). Let h be s(-9). Round h to the nearest 10000.
10000
Suppose -4*p - p = 0. Let v = -64 + 127. Suppose 5*y - 4*r + v + 162 = p, -3*r + 56 = -y. Round y to the nearest ten.
-40
Let s = -13620182.773004 + 13620242. Let o = s - 59.127. Let k = o + -0.1. Round k to 5 decimal places.
0
Let s = 2 - 11. Let p = -9.22 - s. Round p to one dp.
-0.2
Let b = -4851.53713 + -222417.04387. Let w = -227299.58099958 - b. Let d = w - -31. Round d to 7 dps.
0.0000004
Suppose 10*d + 45 = 5*d. Let o(m) = 2 - 9*m + 3 - 1643*m**2 - 3. Let j be o(d). Round j to the nearest ten thousand.
-130000
Suppose 0 = p - 8 - 0. Let y(o) = o**3 - 12*o**2 + 4*o - 6. Let b be y(p). Round b to the nearest 100.
-200
Let d = -13733 | {
"pile_set_name": "DM Mathematics"
} |
+ 232*w**3/15 + 8*w**2/5 - 2752*w/15 - 3712/15 = 0?
-2, 4, 116
Let 5*z**4 - 205*z**3 - 1290*z**2 + 6280*z + 7360 = 0. What is z?
-8, -1, 4, 46
Factor -3*i**2/4 + 2067*i/2 + 54249/4.
-3*(i - 1391)*(i + 13)/4
Factor -4*q**2 + 308224*q - 5937627136.
-4*(q - 38528)**2
Suppose 4*y**4 - 6292*y**3 + 130944*y**2 - 895232*y + 1986560 = 0. What is y?
5, 8, 1552
Determine b so that 50*b**5 + 3485*b**4 + 5800*b**3 + 1345*b**2 - 1020*b = 0.
-68, -1, 0, 3/10
Suppose 1642*n**3/5 + 658*n**2 + 1654*n/5 + 6/5 = 0. What is n?
-1, -3/821
Let -2*s**4/3 + 5218*s**3/9 - 1414340*s**2/9 + 113032192*s/9 - 24909248/3 = 0. Calculate s.
2/3, 141, 364
Suppose 5*z**2 - 23655*z - 23660 = 0. Calculate z.
-1, 4732
Suppose a**2/8 - 121799*a/4 - 243599/8 = 0. Calculate a.
-1, 243599
Factor -36*n**2 - 1612*n - 7160.
-4*(n + 5)*(9*n + 358)
Factor -961*n**3/2 - 46190*n**2 - 184576*n - 188416.
-(n + 92)*(31*n + 64)**2/2
Solve 4*r**5 - 28*r**4 - 1156*r**3 - 6932*r**2 - 8448*r + 16560 = 0.
-6, -5, 1, 23
Find d such that 14*d**5/13 - 8908*d**4/13 - 15474*d**3/13 + 103232*d**2/13 + 79160*d/13 - 30624/13 = 0.
-4, -1, 2/7, 3, 638
Factor -3*a**2 + 3498*a - 51795.
-3*(a - 1151)*(a - 15)
Solve -8*n**5/5 - 284*n**4/5 + 232*n**3 + 2624*n**2/5 - 1152*n/5 - 468 = 0.
-39, -3/2, -1, 1, 5
Determine r, given that -r**3/7 + 11394*r**2 - 227190663*r = 0.
0, 39879
Determine c, given that -c**4/3 + 44*c**3 - 975*c**2 - 6386*c/3 = 0.
-2, 0, 31, 103
Find b such that 6*b**2/5 - 2188*b/5 - 2928/5 = 0.
-4/3, 366
Factor -x**4/3 + 608138*x**3 - 369831827044*x**2 + 224908787634884072*x/3.
-x*(x - 608138)**3/3
Suppose -4*u**3/3 - 532*u**2/3 - 7600*u/3 - 4368 = 0. What is u?
-117, -14, -2
Let -4*t**4/3 - 3440*t**3/3 + 20740*t**2/3 - 38080*t/3 + 6928 = 0. What is t?
-866, 1, 2, 3
Solve -4*p**3/3 + 240*p**2 - 1844*p + 4816/3 = 0 for p.
1, 7, 172
Suppose 2*a**3 - 757180*a**2 = 0. What is a?
0, 378590
Factor g**3/3 - 49*g**2/3 + 494*g/3 + 544/3.
(g - 34)*(g - 16)*(g + 1)/3
Suppose x**4 - 756*x**3 - 1516*x**2 = 0. Calculate x.
-2, 0, 758
Find l such that -l**2/3 - 33388*l - 100163/3 = 0.
-100163, -1
What is q in q**3/4 - 5251*q**2 - 63039*q - 189144 = 0?
-6, 21016
Factor 2*a**3/7 + 1014*a**2/7 + 129030*a/7 + 128018/7.
2*(a + 1)*(a + 253)**2/7
Find p such that 3*p**4 + 567*p**3 + 26880*p**2 + 26316*p = 0.
-102, -86, -1, 0
Find j such that -4*j**3 + 2740*j**2 + 244484*j + 241740 = 0.
-79, -1, 765
Solve 2*f**2/7 + 3246*f - 22724/7 = 0.
-11362, 1
Factor -69239041*b**2/3 + 49926*b - 27.
-(8321*b - 9)**2/3
Determine o, given that -5*o**3 + 60575*o**2 - 605375*o + 1513125 = 0.
5, 12105
Find v such that 5*v**5 + 265*v**4 - 2760*v**3 + 1940*v**2 + 4960*v = 0.
-62, -1, 0, 2, 8
Let 18225*h**3 - 55620*h**2 + 43381*h - 10082 = 0. Calculate h.
71/135, 2
Solve -2704*m**2 - 2702*m + 2 = 0 for m.
-1, 1/1352
Factor g**3/9 - 101*g**2/3 + 1267*g - 12789.
(g - 261)*(g - 21)**2/9
Factor -4*j**2/5 + 219776*j/5 - 3018843136/5.
-4*(j - 27472)**2/5
Find a such that a**2 + 8266*a - 16536 = 0.
-8268, 2
What is a in -3*a**2/7 + 900*a + 31575/7 = 0?
-5, 2105
Determine p, given that -1166*p**3/9 + 1126*p**2/9 - 20*p/3 = 0.
0, 3/53, 10/11
Find k such that 250*k**4/9 + 170*k**3/9 - 88*k**2/9 - 8*k/9 = 0.
-1, -2/25, 0, 2/5
Find y, given that 4*y**4/7 + 208*y**3/7 + 1044*y**2/7 - 2728*y/7 + 1472/7 = 0.
-46, -8, 1
Solve -2*w**3 - 1146*w**2 - 162432*w + 497664 = 0.
-288, 3
Solve -2*v**2/7 + 66656*v/7 - 555377792/7 = 0 for v.
16664
Factor 2*f**2 + 648952*f + 52642337288.
2*(f + 162238)**2
Find t, given that -3*t**2 + 198*t - 1944 = 0.
12, 54
What is u in 2*u**3/11 + 32*u**2/11 - 238*u/11 - 588/11 = 0?
-21, -2, 7
What is v in 2*v**5 - 666*v**4 + 40014*v**3 + 2758834*v**2 - 5635056*v + 2836872 = 0?
-41, 1, 186
Factor 2*b**4 + 18120*b**3.
2*b**3*(b + 9060)
Factor -n**3/2 - 153*n**2 - 19565*n/2.
-n*(n + 91)*(n + 215)/2
Factor 2*m**2/3 - 3526*m - 116600/3.
2*(m - 5300)*(m + 11)/3
Factor 2*c**2/7 + 900*c/7 - 1808/7.
2*(c - 2)*(c + 452)/7
Let -2*s**2 - 5462*s - 5460 = 0. What is s?
-2730, -1
Find q such that -6*q**5/11 + 28*q**4 + 13678*q**3/11 + 58924*q**2/11 + 81896*q/11 + 32400/11 = 0.
-25, -2, -2/3, 81
Solve 2*m**5/11 - 9990*m**4/11 + 12470016*m**3/11 + 12480008*m**2/11 = 0 for m.
-1, 0, 2498
Let -3*d**2 - 306420*d - 612828 = 0. Calculate d.
-102138, -2
Suppose -4*q**3 - 220*q**2 + 232*q + 448 = 0. Calculate q.
-56, -1, 2
Determine y, given that -143*y**2/5 - 617*y/5 - 474/5 = 0.
-474/143, -1
Factor t**4/2 + 21925*t**3 + 479827825*t**2/2 - 9622882500*t + 96316605000.
(t - 20)**2*(t + 21945)**2/2
Factor -14*w**2/13 - 5610*w/13 + 5624/13.
-2*(w - 1)*(7*w + 2812)/13
Factor -x**2 - 931*x + 148730.
-(x - 139)*(x + 1070)
Suppose 4*l**3/5 - 1016*l**2/5 - 66124*l + 331632/5 = 0. Calculate l.
-188, 1, 441
Factor 20*p**2 - 387*p + 981.
(p - 3)*(20*p - 327)
Determine q so that 2*q**3/11 - 164*q**2/11 - 9728*q/11 + 808640/11 = 0.
-70, 76
Factor -3*k**2 + 7926*k + 7929.
-3*(k - 2643)*(k + 1)
Suppose -5*n**4 + 330*n**3 + 4745*n**2 - 5070*n = 0. What is n?
-13, 0, 1, 78
Find l such that 3*l**2/5 - 118938*l/5 + 1178853987/5 = 0.
19823
Find i, given that -2*i**4/9 + 18976*i**3/9 - 5001230*i**2 - 18976*i/9 + 45011072/9 = 0.
-1, 1, 4744
Factor -2*r**2 + 5668*r + 5670.
-2*(r - 2835)*(r + 1)
Find d, given that -d**3/6 + 1387*d**2/6 - 2768*d/3 + 922 = 0.
2, 1383
Suppose -2*p**5/7 + 2230*p**4 + 140674*p**3/7 - 171890*p**2/7 - 20096*p + 156280/7 = 0. Calculate p.
-10, -1, 1, 7814
Let -2*l**2/5 + 2254748*l/5 - 635486067938/5 = 0. Calculate l.
563687
Let -114*m**3/5 - 61892*m**2 - 173688*m/5 + 21712/5 = 0. What is m?
-2714, -2/3, 2/19
Factor 3*n**2/5 - 1818*n/5 - 104781/5.
3*(n - 659)*(n + 53)/5
What is b in -5*b**2 - 2005*b - 13790 = 0?
-394, -7
Factor 4*o**4 + 160*o**3 + 2048*o**2 + 9728*o + 15360.
4*(o + 4)**2*(o + 12)*(o + 20)
Factor 135*d**3 + 9625*d**2 + 177625*d + 214375.
5*(d + 35)**2*(27*d + 35)
Factor m**2 + 4525*m + 9046.
(m + 2)*(m + 4523)
Let -3*l**4/2 + 4503*l**3/4 + 2259*l**2/4 - 4503*l/4 - 2253/4 = 0. What is l?
-1, -1/2, 1, 751
Let -4*n**5 + 124*n**4 + 2084*n**3 + 8724*n**2 + 11088*n = 0. What is n?
-7, -3, 0, 44
Factor d**2/2 + 1493*d/2 + 746.
(d + 1)*(d + 1492)/2
Factor -o**4 - 12263*o**3 - 50086113*o**2 - 67966037141*o + 684681255710.
-(o - 10)*(o + 4091)**3
Let 4*p**2/7 - 277920*p/7 + 4827470400/7 = 0. Calculate p.
34740
Suppose -2*m**2/9 - 18442*m/9 + 259364/3 = 0. Calculate m.
-9263, 42
Determine r, given that r**2/4 - 1607*r - 32165/4 = 0.
-5, 6433
Determine v, given that 6*v**3 - 843*v**2 + 21939*v + 22788 = 0.
-1, 36, 211/2
Suppose -w**3/7 - 3*w**2/7 + 22*w/7 + 24/7 = 0. What is w?
-6, -1, 4
Factor 3249*n**2/4 - 22173*n + 151321.
(57*n - 778)**2/4
Factor 5*s**5 + 390*s**4 - 9080*s**3 - 1469600*s**2 - 37403520*s - 211256320.
5*(s - 62)*(s + 8)*(s + 44)**3
Factor 3*u**3/2 - 306*u**2 + 41607*u/2 - 471339.
3*(u - 69)**2*(u - 66)/2
Factor -u**3/7 - 967*u**2/7 - 44488*u - 33397872/7.
-(u + 303)*(u + 332)**2/7
Find g such that 2*g**4 + 1870*g**3 + 62924*g**2 - 68544*g - 129600 = 0.
-900, -36, -1, 2
Let -k**4 - 59*k**3 + 5244*k**2 - 5184*k = 0. What is k?
-108, 0, 1, 48
Factor -5*y**2/6 - 63*y + 4763/6.
-(y - 11)*(5*y + 433)/6
What is i in i**2 - 5598*i + 83745 = 0?
15, 5583
Solve 8*j**5/11 + 122*j**4/11 - 1336*j**3/11 + 2034*j**2/11 - 828*j/11 = 0.
-23, 0, 3/4, 1, 6
Suppose -5*y**2 + 85020*y = 0. Calculate y.
0, 17004
Determine g so that g**3 - 6*g**2 - 432*g = 0.
-18, 0, 24
Determine g, given that -239*g**2/3 - 299*g - 180 = 0.
-3, -180/239
Suppose -2*s**5/9 + 32*s**4/9 + 50*s**3/3 - 76*s**2 = 0. Calculate s.
-6, 0, 3, 19
Suppose 134*z**4/11 + 276*z**3/11 + 16*z**2/11 = 0. Calculate z.
-2, -4/67, 0
Factor l**2 + 171290*l + 7335066025.
(l + 85645)**2
What is b in b**4/5 + 15472*b**3/5 + 59737294*b**2/5 - 838597872*b/5 + 2937748401/5 = 0?
-7743, 7
Factor -h**2 + 49510*h - 612810025.
-(h - 24755)**2
Solve 8*b**4 - 114*b**3 - 508*b**2 + 4614*b - 1120 = 0.
-7, 1/4, 5, 16
Find n, given that -2*n**2 + 1386*n + 2780 = 0.
-2, 695
Factor -3*q**3 - 40770*q**2 - 244536*q - 326016.
-3*(q + 2)*(q + 4)*(q + 13584)
Find n, given that n**2/5 + 1328502*n/5 + 441229391001/5 = 0.
-664251
Suppose -2*t**4 + 119*t**3 - 1654*t**2 - 2693*t - 918 = 0. What is t?
-1, -1/2, 27, 34
Factor 2*m**3/19 - 710*m**2/19 + 704*m/19 + 1416/19.
2*(m - 354)*(m - 2)*(m + 1)/19
Suppose -d**3/3 + 4609* | {
"pile_set_name": "DM Mathematics"
} |
7 + -107. Suppose -4*y - 17 + 113 = w. Factor y*t + 20*t**2 + 53*t**3 - 58*t**3 + t.
-5*t*(t - 5)*(t + 1)
Let w(c) = c + 3. Let o be w(-3). Suppose o = 3*j - 10*j + 112. Find z such that z**2 - 4*z**2 + 16 + 4*z**4 - 2*z**2 + j*z - 8*z**3 - 7*z**2 = 0.
-1, 2
Let u(h) be the second derivative of 0 + 1/4*h**5 + 1/24*h**6 - 5/24*h**4 - 44*h - 5/2*h**3 - 5/2*h**2. Let s(k) be the first derivative of u(k). Factor s(b).
5*(b - 1)*(b + 1)*(b + 3)
Suppose -f + t = -6, -17*t - 12 = f - 15*t. Let l(y) be the third derivative of 0*y**3 + 0*y + 0*y**4 + 1/20*y**5 + 21*y**2 + f. Factor l(n).
3*n**2
Factor -27/8*f**2 - 5/8*f**3 - 5*f - 3/2.
-(f + 2)*(f + 3)*(5*f + 2)/8
Let s be (13/6 - 1)/((-115328)/954 - -121). What is t in -s*t**3 + 0 + 3/2*t**4 + 0*t**2 + 0*t = 0?
0, 7
Let d = 617 + -586. Factor -15*w**2 + 12*w**2 - d*w + 4*w - 42.
-3*(w + 2)*(w + 7)
Let b(r) be the first derivative of -2/3*r**3 + 2/3*r**4 - 4*r**2 - 6*r + 1/5*r**5 - 19. Let x(h) be the first derivative of b(h). Factor x(y).
4*(y - 1)*(y + 1)*(y + 2)
Find q, given that -35/2 + 1/4*q**2 - 3/4*q = 0.
-7, 10
Find l such that 90*l - 53*l**2 + 230*l**2 - 258*l - 270 - 78 - 579*l**3 + 576*l**3 = 0.
-1, 2, 58
Let u(v) be the second derivative of -v**8/112 + v**7/70 + v**6/40 - v**5/20 + 37*v**2 + 5*v - 3. Let x(i) be the first derivative of u(i). Factor x(b).
-3*b**2*(b - 1)**2*(b + 1)
Let i = -228 + 230. Solve -41 + 11 - 124*p**i + 9*p + 127*p**2 = 0 for p.
-5, 2
Factor 14*g**3 + 223*g**2 - 1243 - 3898*g - 620*g**2 + 223 - 747*g**2.
2*(g - 85)*(g + 3)*(7*g + 2)
Let l = -26300 - -26300. Let j(c) be the third derivative of l*c + 1/12*c**4 + 9*c**2 - 1/30*c**5 + 2/3*c**3 + 0. Factor j(k).
-2*(k - 2)*(k + 1)
Let t(d) = 3*d**3 - 233*d**2 + 4501*d + 1537. Let c(q) = 22*q + 33*q + 2 - 53*q. Let k(b) = 24*c(b) - 3*t(b). Factor k(y).
-3*(y - 39)**2*(3*y + 1)
Solve 0 - 1510/7*c**4 + 1024*c**3 + 50/7*c**5 + 192*c + 6472/7*c**2 = 0.
-2/5, 0, 7, 24
Suppose 3*n + 101 = 2*s, 6*s - 155 = 3*s + n. Let q = -48 + s. Suppose -3 - 4*f**2 - 14 - q + 20*f + 5 = 0. Calculate f.
1, 4
Let f(h) = 20*h - 75. Let a be f(4). Solve 6*t + 30 + 25*t**3 - a*t**4 - 7*t - 25*t**2 + 5*t - 29*t = 0.
-1, 1, 2, 3
Let q(f) be the third derivative of 0*f + 1/60*f**5 - 3*f**2 + 14 + 5/6*f**3 + 1/4*f**4. Let q(k) = 0. What is k?
-5, -1
Let y(w) be the first derivative of 0*w**2 + 8/5*w**5 - w**4 + 2/3*w**6 - 8/3*w**3 - 65 + 0*w. Solve y(c) = 0.
-2, -1, 0, 1
Let t be (0 - 5/(270/26))*12. Let d = -163/36 - t. Solve -d*s + 1/4*s**3 + 1/4*s**4 - 1/2 - 3/4*s**2 = 0.
-1, 2
Let n(z) be the first derivative of 43 - 1/2*z**3 + 36*z + 0*z**2 + 1/16*z**4. Let r(g) be the first derivative of n(g). Factor r(k).
3*k*(k - 4)/4
Determine h so that 519 + 2*h**2 + 573 - 1432 + 166*h + 0*h**2 = 0.
-85, 2
Let i(x) be the second derivative of x**6/30 - 7*x**5/20 + x**4/6 + 32*x**3/3 - 48*x**2 + 3*x + 16. Factor i(a).
(a - 4)**2*(a - 2)*(a + 3)
Let x(d) be the second derivative of d**4/72 - 41*d**3/12 + 295*d**2/6 + 81*d + 3. Let x(n) = 0. What is n?
5, 118
Let i(s) be the third derivative of 2*s**6/45 + 361*s**5/90 + 397*s**4/36 + 44*s**3/9 + 4176*s**2. Determine p so that i(p) = 0.
-44, -1, -1/8
Let o be (4/8)/((-7)/(336/330) - -7). What is a in -58*a**2 - 32 - 80*a - 16*a**3 - 3/2*a**o = 0?
-4, -2, -2/3
Let z = -64416 - -64418. Factor -9/2 + 27/2*l + 1/6*l**5 - 15*l**z + 23/3*l**3 - 11/6*l**4.
(l - 3)**3*(l - 1)**2/6
Let z = -19 + 14. Let o(r) = -r**3 - 4*r**2 + 5*r + 2. Let a be o(z). Let -5*g**3 - 7 - 100*g**2 - 13 + 115*g**a = 0. Calculate g.
-1, 2
Let m(q) = -69*q + 196. Let a be m(6). Let v = 222 + a. Determine x so that -7/6*x**v - 2*x**3 + 0 + 1/3*x - 1/2*x**2 = 0.
-1, 0, 2/7
Let z be 3/(-11) + (-3600)/(-1584). Determine w so that 9/2*w**z - 9*w + 3/2*w**3 - 12 = 0.
-4, -1, 2
Let q = 197915/286 + -73/143. Let v = q + -691. Let -1/2*k**2 + 0*k + v = 0. Calculate k.
-1, 1
Let u(w) = 2*w + 28. Let x be u(-13). Factor 82*b**4 + 336*b + 48*b**3 + 147 - 256*b**4 + 87*b**4 + 234*b**x + 90*b**4.
3*(b + 1)**2*(b + 7)**2
Solve 210357*t + 4*t**3 - 1168*t**2 + 2344 - 105834*t - 105703*t = 0 for t.
-2, 1, 293
Factor -1225*u**2 + 131*u**3 + 817*u**2 - 24480*u - 3468 - 152*u**3 - 1023*u**2.
-3*(u + 34)**2*(7*u + 1)
Let d(g) be the third derivative of 0*g**4 + 0*g**3 + 3*g**2 + 1/105*g**7 + 0 + 0*g**6 + 0*g - 2/15*g**5. Find w such that d(w) = 0.
-2, 0, 2
Let g = -146922 - -146924. Suppose 58/19*l - 12/19 - 36/19*l**3 + 90/19*l**g = 0. Calculate l.
-2/3, 1/6, 3
Let b = 559/2195 + -24/439. Let -b*y**2 + 1/5*y**3 - 1/5*y + 1/5 = 0. What is y?
-1, 1
Let i(n) be the third derivative of -n**7/14 + 39*n**6/10 - 253*n**5/10 - 3135*n**4/2 + 2527*n**3/2 - 3*n**2 - 72*n - 7. Suppose i(u) = 0. Calculate u.
-7, 1/5, 19
Let q be -6 + (-6 - (7 + -25)). Let b(m) = m**3 + 3*m**2 - 6*m + 3. Let a(v) = -4*v**3 - 11*v**2 + 22*v - 11. Let r(j) = q*a(j) + 22*b(j). Factor r(z).
-2*z**3
Suppose 28*k + 64 = 60*k. Solve 354*d**5 + 2*d**4 - 352*d**5 + 12*d**3 + 6*d**4 + 8*d**k + 2*d = 0 for d.
-1, 0
Let y(m) = -148*m**2 - 123648*m - 136507392. Let f(i) = 43*i**2 + 35328*i + 39002112. Let x(s) = -24*f(s) - 7*y(s). Factor x(r).
4*(r + 2208)**2
Let q(k) be the first derivative of k**6/180 + 2*k**5/5 + 12*k**4 - 2*k**3/3 + 36*k - 34. Let d(j) be the third derivative of q(j). Factor d(t).
2*(t + 12)**2
Let a(x) be the second derivative of -x**5/20 - 403*x**4/12 + 812*x**3/3 - 814*x**2 + 432*x. Let a(n) = 0. What is n?
-407, 2
Let u(g) = -396*g + 1595. Let h be u(4). Let p = 5 - 3. Suppose -52*d + h*d**p - 40 + 7*d**2 + 16 + 2*d**2 = 0. What is d?
-2/5, 3
Let b(k) = -k**3 - 53*k**2 - 106*k - 99. Let f be b(-51). Suppose 0 = f*l + 23*l. Factor 2/9*x**2 + l - 4/9*x.
2*x*(x - 2)/9
Let f = 394/15 + -3659/140. Let b(l) be the second derivative of -4/7*l**3 + 18/7*l**2 - 1/140*l**5 + 0 - 3*l - f*l**4. Determine q so that b(q) = 0.
-6, 1
Factor 2/13*n**3 - 768/13 + 386/13*n**2 + 380/13*n.
2*(n - 1)*(n + 2)*(n + 192)/13
Let y be (29 - 5738/190)*(-2160)/42. Let 0 - 3/7*p**4 + 36/7*p**2 - 24/7*p**3 + y*p = 0. Calculate p.
-6, 0, 4
Factor -1153200 - 1240*r - 1/3*r**2.
-(r + 1860)**2/3
Let y(v) be the first derivative of 25*v**6/21 - 302*v**5/7 + 759*v**4/14 + 6302*v**3/21 + 280*v**2 + 696*v/7 - 3046. Determine x so that y(x) = 0.
-1, -2/5, 3, 29
Let h(q) be the second derivative of q**7/3780 + q**6/270 - 7*q**5/60 + 11*q**4/4 - q**3/6 - 185*q. Let w(k) be the third derivative of h(k). Factor w(i).
2*(i - 3)*(i + 7)/3
Let w(p) be the second derivative of p**6/135 - 7*p**5/90 - 5*p**4/18 + 175*p**3/27 - 250*p**2/9 + p - 815. Factor w(o).
2*(o - 5)**2*(o - 2)*(o + 5)/9
Let t(n) be the first derivative of 12*n**3 + 51 + 0*n**2 + 0*n + 1/5*n**5 + 3*n**4. Factor t(s).
s**2*(s + 6)**2
Let k(g) be the third derivative of -g**5/300 - 31*g**4/30 - 41*g**3/10 + 36*g**2 - 8*g. Factor k(l).
-(l + 1)*(l + 123)/5
Let l(x) be the third derivative of -x**5/30 - 5*x**4/12 + 28*x**3 + 251*x**2 + 2*x. Suppose l(y) = 0. What is y?
-12, 7
Let k(u) be the third derivative of -u**5/12 - 755*u**4/24 - 125*u**3 + 9*u**2 - 54*u. Factor k(x).
-5*(x + 1)*(x + 150)
Suppose -4*w - o - 41 = -252, 3*w = 5*o + 141. Let v = 59 - w. Factor -h**4 + 2*h**4 + 0*h**4 - v*h**2 - 6*h.
h*(h - 3)*(h + 1)*(h + 2)
Factor 0 + 0*d**3 + 38/5*d**2 - 2/5*d**4 + 12*d.
-2*d*(d - 5)*(d + 2)*(d + 3)/5
Let t(y) be the third derivative of y**7/2415 - 187*y**6/345 + 69563*y**5/345 + 23375*y**4/23 + 46875*y**3/23 + 2727*y**2. Let t(m) = 0. What is m?
-1, 375
Let s(v) be the third derivative of -v**5/110 + 949*v**4/66 - 1264*v**3/33 + 356*v**2 - 4. Factor s(u).
-2*(u - 632)*(3*u - 2)/11
Let u(k) be the first derivative of 803/2*k**2 - 152/3*k**3 + 242*k + 7/4*k**4 + 11. Factor u(q).
(q - 11)**2*(7*q + 2)
Let t(f) be the first derivative of -3*f**4/4 - 26*f**3 - 132*f**2 - 1092. Let t(z) = 0. What is z?
-22, -4, 0
Let c(h) be the third derivative of -41*h**2 + 1/1575*h**7 - 1/45*h**4 - 1/450*h**5 - 2 + 0*h + 0*h**3 + 1/225*h**6. Factor c(m).
2*m*(m - 1)*(m + 1)*(m + 4)/15
Let n(p) = 19*p**2 + 2612*p - 2631. Let c(j) = 176*j**2 + 23504*j - 23680. Let l(i) = -3*c(i) + 28*n(i). Factor l(u).
4*(u - 1)*(u + 657)
Let t(h) be the second derivative of -12/11*h**2 - 46*h - 7/33*h**3 + 0 - 1/66*h**4. Let t(s) = 0. Calculate s.
-4, -3
Let o(i) be the first derivative of 5 | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 2*p + p - 4 + 2 - p**3. Let x be t(-2). Suppose 0*n = n - x. What is the greatest common factor of 36 and n?
4
Suppose 5*s - 12 = -2*i, -4*s + i + 32 = -3*i. Let u(k) = 3*k. Let a be u(9). Let w be (12/(-10))/(a/(-360)). Calculate the highest common divisor of s and w.
4
Let q be -1*2*2/(-1). Suppose 2*n - 2*a + 5*a = 18, -5*a + 28 = 3*n. What is the greatest common factor of q and n?
2
Let n be 4/3*(7 + -1). Suppose -2*u + 3*u - n = 0. What is the highest common factor of 16 and u?
8
Let p(j) = 5*j - 4*j + 0 + j**2 + 3*j**3 + 1. Let s be p(-1). Let m be -2*(60/s - 0). What is the highest common factor of 15 and m?
15
Let m = 3 - 1. Suppose -5*c + 0 + 15 = 4*w, -5*w - c + 3 = 0. Let h be w + m + (-124)/(-1). What is the greatest common divisor of h and 14?
14
Suppose n + g = 109, 8 + 12 = 4*g. What is the highest common factor of n and 13?
13
Let v be 22 + (-6)/(-5 + 3). Calculate the highest common divisor of 15 and v.
5
Let d = 423 + -216. Suppose -3*j - 10 = 2*j, 21 = 5*t + 2*j. Suppose -3*l - 3*y + 0*y = -d, t*l = 3*y + 305. Calculate the greatest common divisor of l and 8.
8
Let q = 172 - 81. Let c = q - 58. What is the greatest common divisor of 3 and c?
3
Let u be -1*(0 + 1)*-19. Calculate the greatest common factor of 76 and u.
19
Suppose -5*d = -2*p + 64, 3*d - d + 34 = 5*p. Let u = -1 - d. Calculate the greatest common factor of u and 33.
11
Let n = -3 + 10. Suppose 10 = -n*l + 2*l. Let s be 36*1*l/(-4). Calculate the highest common factor of s and 18.
18
Let g be ((-2)/4)/(4/(-24)). Suppose -g*z - 2*z + 50 = 0. What is the greatest common factor of z and 40?
10
Let r = 2 - -3. Suppose -23 = -4*h + r. Calculate the highest common factor of h and 77.
7
Let h(x) = x**2 + 11*x - 6. Let c(g) = -3*g + 6. Let f be c(6). Let q be h(f). Calculate the greatest common factor of q and 12.
6
Let b be (-22)/(1 - (-6)/(-3)). What is the greatest common factor of 55 and b?
11
Suppose 0 = 4*b - 0*b - 72. Let c = -8 + 14. Calculate the highest common divisor of c and b.
6
Let q(w) = -w**2 + 2*w + 18. Let z be q(0). What is the greatest common factor of z and 12?
6
Let m(r) = 2*r - 17. Let h be m(9). Suppose -5*q = 5*o - 2*o - 70, 4*o = -3*q + 53. Calculate the highest common factor of h and q.
1
Let k be (4 - 2) + (-1 - -1). Let i(g) = g + 3*g - 2 - k*g. Let f be i(3). What is the greatest common divisor of f and 1?
1
Let f(u) be the first derivative of u**4/4 - 2*u**3/3 + u**2/2 - 3*u - 10. Let o be f(3). What is the highest common factor of o and 6?
3
Let i be (-40)/(1/(-10)*2). Let x be 4 + (-4 + 2 - -18). Calculate the highest common factor of x and i.
20
Suppose -2*u + 43 = -5. Suppose -5*f - 34 = -154. Suppose 0*v + f = 3*v. Calculate the greatest common divisor of v and u.
8
Let n = 116 - -8. Suppose 0 = -3*g - 3*d + 96, -3*g + 4*d + n = 2*g. Calculate the highest common factor of 42 and g.
14
Let a(c) = -16*c - 8. Let o be a(-6). What is the highest common factor of 8 and o?
8
Let b = 10 + 4. Let j(d) = d**3 - 4*d**2 + 3. Let u be j(4). Suppose -4*f + 5*h = -28, 3*h - 28 = -u*f - 7. What is the highest common factor of f and b?
7
Let m be (-26)/(-8) - (-1)/(-4). What is the highest common factor of m and 6?
3
Let p(q) = 5*q - q**3 - 14*q - 1 + 16*q + 8*q**2. Suppose -y + 40 = 4*y. Let c be p(y). What is the greatest common factor of 11 and c?
11
Let f(y) = -y**3 + 8*y**2 + 10*y + 10. Let d be f(9). Let k = -25 + 44. Calculate the greatest common divisor of k and d.
19
Let u be (12/5)/(6/75). What is the greatest common factor of u and 75?
15
Suppose 3*j + 2*j = 440. Let m(q) = -q - 6. Let h be m(-6). Let y(s) = -s**2 + s + 11. Let w be y(h). What is the greatest common divisor of j and w?
11
Let d(x) = 6*x**2 + x**2 + 3*x - 3 + x**2. Let o be d(2). Let p = 18 - 11. What is the greatest common factor of p and o?
7
Let r(i) = -i**2 - 9*i + 16. Let g be r(-10). Suppose 2*k + 5*o = 76, -2*k + 5*o + 68 = -k. Calculate the highest common factor of k and g.
6
Let s be (-192)/(-14) + 2/7. Let o(d) = d + 28. Let z be o(0). Suppose -6*r = -2*r - z. What is the highest common divisor of r and s?
7
Suppose -145 = -3*o + 191. Suppose 0 = -4*s + 2*s - 5*g + 18, 2*g = -4. Calculate the greatest common divisor of s and o.
14
Suppose -3*z + 0*z + 4*m = -54, 0 = 3*z - 2*m - 54. What is the highest common factor of z and 198?
18
Suppose 8 = -k + 5*k. Suppose 3*q = -22 - 20. Let j be (q/42)/(2/(-132)). Calculate the greatest common factor of j and k.
2
Suppose 199 = 2*j + c, -j + 4*j - 300 = -3*c. What is the highest common divisor of j and 11?
11
Suppose 0 = 4*d + 5*i - 335, -100 = -3*d + 2*i + 157. What is the greatest common divisor of d and 34?
17
Suppose 0 = -2*z + 7*z - 10. Let y be z/10 - 74/(-5). Calculate the greatest common divisor of y and 75.
15
Suppose 20 = 5*w - 15. Let o be (w - 1)/((-6)/(-4)). Suppose -o = -2*n + 12. Calculate the greatest common divisor of 8 and n.
8
Suppose 3*g = -3*g + 450. Let b be -1 + 0 - (-8)/2. Suppose -b*v - 124 = -3*y - 7*v, 5*v + g = 2*y. What is the greatest common factor of 5 and y?
5
Suppose -2*j - 2*j = -52. Let v = j + -1. What is the greatest common factor of v and 24?
12
Suppose -2*c = 3*q - 7*q + 64, -4*q = c - 76. What is the greatest common factor of q and 126?
18
Let p = 7 + -2. Suppose -3*k = -p*k + 66. Suppose 0*w + 2*w - k = -3*t, -4*t + 48 = 4*w. What is the highest common factor of t and 9?
9
Let y = 140 - 76. Calculate the highest common divisor of 8 and y.
8
Let c(m) be the second derivative of m**3/3 + 5*m**2 - 4*m. Let z be c(7). What is the highest common factor of z and 60?
12
Let r be 2/((2/(-6))/1). Let k be (12/(-14))/(r/420). What is the greatest common divisor of k and 40?
20
Let q = 4 + -3. Calculate the highest common divisor of 1 and q.
1
Suppose 3*m = -4*s + 18, 4*s - 2*s - 16 = -5*m. Let j = m + 2. Calculate the greatest common divisor of 10 and j.
2
Let f be 2/10 + (-81)/(-45). Calculate the highest common factor of 54 and f.
2
Suppose -79 = -3*d + 65. Let t(b) = 4*b + 4. Let k be t(5). What is the greatest common divisor of d and k?
24
Suppose -2*d + 110 = 3*d. Let q = -60 - -117. Suppose o - 31 = q. Calculate the highest common divisor of d and o.
22
Let a(r) = r + 4. Let d be a(-8). Let m be 6/d + (-236)/(-8). Calculate the highest common factor of m and 14.
14
Let a be 10/5 + 0/(-2). Let v be 18*((-16)/(-3) - a). What is the greatest common divisor of v and 12?
12
Let p(c) = 3*c**2 - 3*c + 2. Let g be p(1). Suppose g*s = 269 - 13. Calculate the highest common factor of 16 and s.
16
Let q = -1 + 5. Let d be (-115)/(-10) - 6/q. Let j(r) = -r**3 - 5*r**2 - 2*r - 5. Let c be j(-5). Calculate the highest common factor of d and c.
5
Suppose -1 = -p + 2*m - 3, -2*p = -m + 1. Suppose -2*n = -p*n + 2. Let r(d) = -8*d. Let w be r(n). What is the greatest common factor of w and 4?
4
Suppose 0*h - 3*h - 33 = 0. Let b = -7 + 2. Let s = b - h. What is the highest common divisor of s and 12?
6
Let n = -27 + 41. Suppose n + 2 = 2*q. What is the highest common divisor of q and 4?
4
Let j be -4 + 4 - -1 - (-20)/2. What is the highest common factor of j and 88?
11
Let t(g) = 2*g**3 + g**2 - g + 1. Let p be t(1). Let u(f) = f**2 - f. Let x be u(-1). Let l be (-18)/(-8)*6*x. Calculate the highest common divisor of p and l.
3
Suppose -76 = -6*l + 212. Calculate the greatest common divisor of l and 72.
24
Let i(l) = 4*l**2 - l. Let k be i(1). Suppose -2*m - k*v + 42 = m, v - 4 = 0. Suppose 0*t - 6 = -3*t. Calculate the greatest common divisor of t and m.
2
Let x be 1 + 1 + (2 - -61). Suppose 0 = -3*j + 49 + 29. Calculate the highest common divisor of j and x.
13
Suppose 2*p - 8 = -2*p. Let o be (p - -9*2) + -1. Calculate the greatest common factor of 38 and o.
19
Suppose 3*l - 214 = 6*s - 5*s, -150 = -2*l - 3*s. Let t be 219/12 + 1/(-4). What is the greatest common factor of t and l?
18
Let b(j) = j**3 + 2*j**2 + 4*j - 3. Let o = -3 + 6. Let c be b(o). What is the highest common divisor of 6 and c?
6
Suppose 3*d = -6 + 15. Suppose 0 = -2*y - 0*j - d*j + 73, 3*j - 169 = -5*y. What is the greatest common divisor of 80 and y?
16
Suppose -6*x + 4*x + 148 = 0. What is the highest common divisor of 37 and x?
37
Let c = -82 + 94. Calculate the greatest common divisor of c and 48.
12
Let y be (-10)/1 | {
"pile_set_name": "DM Mathematics"
} |
*3 + 3*r + 6. What is the remainder when u(-3) is divided by 41?
35
Suppose -163 = -4*v - 135. Calculate the remainder when 382 is divided by v.
4
Let d(n) be the first derivative of -n**4/4 - 8*n**3/3 - 3*n**2/2 + 14*n + 77. What is the remainder when d(-9) is divided by 21?
17
Let z = 27057 - 26850. What is the remainder when z is divided by ((-3)/(-2))/(9/114)?
17
Let d be (-2 + 6/4)/((-8)/64). Suppose 0 = d*g - 631 - 853. What is the remainder when g is divided by 62?
61
Let t(u) be the second derivative of u**5/20 - 2*u**4/3 + 27*u**2/2 + 20*u - 4. Calculate the remainder when t(9) is divided by 58.
50
Let l = -14301 - -14312. Calculate the remainder when -2 - (-3 + 1)*94 is divided by l.
10
Calculate the remainder when 1124 is divided by 2/(-15) - 770880/(-3600).
54
Suppose 5*d = -m + 10, d = -m - 2 + 4. Suppose -2*t + 14*t - 192 = m. What is the remainder when 75 is divided by t?
11
Suppose 0 = -10*s + 4*s + 13224. Calculate the remainder when s is divided by 46.
42
Let t = -133 - -196. Let n = t - 64. What is the remainder when ((-10)/8)/(n/(-8)*-1) is divided by 2?
0
Let z = 334 - 228. Suppose 0 = 65*s - 63*s - z. Calculate the remainder when 899 is divided by s.
51
Let f = 22 + -12. Let n = 546 + -314. Let h = n + -194. What is the remainder when h is divided by f?
8
Suppose -3*m = 3*k - 21, 0 = m + 5*k + 68 - 55. Calculate the remainder when 358 is divided by m.
10
Suppose 6*q + 2*l + 35 = q, 4*l = 20. Let t be 156/q*(-4 + 10/4). Suppose 5*y - 5*i = 7*y - t, 4*i = 0. Calculate the remainder when 36 is divided by y.
10
Let q be (-2)/(4*9/6)*-21. Suppose 23 + 187 = q*p. Calculate the remainder when 88 is divided by p.
28
Let y(p) = -p**3 + 19*p**2 - 7*p + 7. Calculate the remainder when y(17) is divided by 27.
7
Suppose -480*p = -5817 - 6163 - 2900. What is the remainder when p is divided by 9?
4
Suppose -117 = 9*b, 4*b - 442 = 3*f - 542. Let t(k) = 2*k**2 - 2*k - 5. What is the remainder when t(-5) is divided by f?
7
Let d be ((-5)/(5/98))/((-14)/(-28)). Let s = d - -204. Calculate the remainder when 182 is divided by s.
6
Let g(t) = -2*t**2 + 36*t - 146. Calculate the remainder when 3034 is divided by g(9).
10
Let g = 1405 - 1113. Calculate the remainder when g is divided by 164.
128
Calculate the remainder when 18*((-785)/12)/((-50)/40) is divided by 118.
116
Let d(w) = -3*w**2 + 70*w + 20. Calculate the remainder when 827 is divided by d(0).
7
Let u = 34 - -29. Let p be (40/(-5))/((-2)/19). Suppose 3*s - 57 = 2*s + 5*t, p = 3*s + 4*t. Calculate the remainder when u is divided by s.
31
Suppose -266*y + 276 = -10364. What is the remainder when 1357 is divided by y?
37
Let y = -5908 - -6122. What is the remainder when y is divided by 48?
22
Suppose 14*d = 13*d - x + 1177, 3*d + 5*x - 3535 = 0. Suppose -d - 1753 = -24*v. What is the remainder when v is divided by 36?
14
Let s(j) = 8*j**2 - 60*j - 181. Calculate the remainder when 294 is divided by s(-3).
10
Let w(f) = f**2 - 45*f - 11. What is the remainder when w(-11) is divided by 21?
17
Let y = 113 + -76. Suppose -34*c + 31*c = -6. Calculate the remainder when (1 + c)/(33/1210) is divided by y.
36
Let i be -2 + (-1 + 0)*(-2 - 14). Suppose -2*a - 4*g + 26 = 0, -6*a + 3*a + i = g. What is the remainder when 130 is divided by 1/a - (-786)/18?
42
Suppose -n - 90 = -19*m + 18*m, -2*n = 2*m - 176. Calculate the remainder when 3559 is divided by m.
88
Let c = -280 - -298. Suppose -c*b + 117 = -1503. What is the remainder when b is divided by 15?
0
Suppose 63*r - 67*r + 5*c = -283, 2*c + 392 = 5*r. Let k = 16 + 28. What is the remainder when r is divided by k?
38
Suppose 26 + 30 = 14*m. Suppose -m*h = h. Suppose -4*z + 103 = 5*u, h = 3*z + 7*u - 2*u - 76. Calculate the remainder when 104 is divided by z.
23
Let l = -1419 - -2315. Let n = l + -872. Calculate the remainder when n is divided by 14.
10
Suppose -3*x - 922 = -5*u + 42, -2*u + 2*x + 388 = 0. Let f(n) = -24*n**2 + 2067*n - 210. Calculate the remainder when u is divided by f(86).
47
Suppose 5*k + 2224 - 5761 = -3*x, 3*x - 3519 = -2*k. Calculate the remainder when x is divided by 9.
8
Suppose 17*l = 19*l - 6. Suppose -255 = -4*z + l*w, w = 2*w + 5. Suppose -u + g + 299 = 0, 2*u = u - 3*g + 299. What is the remainder when u is divided by z?
59
Suppose 4*s - 2*s = 778. Let b = s + -380. What is the remainder when 168 is divided by b?
6
Suppose 22081 = -219*m + 79*m + 111401. Calculate the remainder when m is divided by 52.
14
Let z(j) = 4*j + 9. Let f(n) = -5*n - 11. Let o(x) = 3*f(x) + 4*z(x). What is the remainder when o(6) is divided by 8?
1
Let o be (-44)/55 - (-979)/5. Let l = 227 - o. Calculate the remainder when 188 is divided by l.
28
Suppose 7*l = -7*l + 210. Calculate the remainder when 107 is divided by 41 - (2 - 5)*(-25)/l.
35
Let s(h) = h**2 - 5*h + 10. Let d be s(3). Suppose 5*t = -4*q + 6*q - 45, d*t = -3*q + 79. Calculate the remainder when 74 is divided by q.
24
Let p(c) = -2*c**3 - 21*c**2 - 30*c - 1. Suppose -3*l - 5 = -4*l. Suppose l*m - 10*m = -360. What is the remainder when m is divided by p(-9)?
20
Suppose 0 = 6*i + 116 - 638. Calculate the remainder when i is divided by 79.
8
Let w(s) = -43 + 14*s - 7*s**2 - 2*s**2 + 10*s**2. Calculate the remainder when 24 - (2 + 3/(-3)) is divided by w(-17).
7
Let i be ((-240)/(-140))/((-3)/(-35)). Suppose 0 = -5*b - i*b + 975. Calculate the remainder when b is divided by 7.
4
Calculate the remainder when 653 is divided by 62 - (1 - -5 - 21).
37
Let t(b) = -449*b - 421. Calculate the remainder when 7418 is divided by t(-1).
26
Let x(l) = -l**2 - 2 - 2*l - l**2 - 26*l**3 + 1. Calculate the remainder when x(-1) is divided by 2*((-5)/10 - 2)*2224/(-695).
9
Suppose f = 3*f - 4. Let u(j) = j + 0*j**2 + 4*j**f + 0*j**2 - 5*j**2 + 17. Calculate the remainder when 6 is divided by u(4).
1
Suppose 490 = 27*i + 166. What is the remainder when 347 is divided by i?
11
Let i(l) = 18*l**2 + 25*l - 30. Calculate the remainder when i(4) is divided by 30.
28
Suppose -2 = -3*d + 4*k, 0*k - k = -4. What is the remainder when (-3)/(d/(-80)) - -4 is divided by ((-8)/(-3))/((-2)/(-15))?
4
Let y(d) = -d**2 + 6*d + 2. Let v be y(10). Let b = v + 41. Let s = b - -15. Calculate the remainder when s is divided by 7.
4
Suppose -3*c - 20 = -5*n, 5*n + 4*c + 8 = 9*n. Calculate the remainder when 516 is divided by n.
5
Suppose -246*p + 251*p + 45 = 0. Calculate the remainder when 122 - (12 + p + (-8)/2) is divided by 18.
15
Suppose -o - 935 = -4*b, 3*o - 291 = -2*b + 194. Let z = -187 + b. Let h(r) = r**3 + 6*r**2 - r - 5. What is the remainder when z is divided by h(-5)?
23
Suppose -9*l + 505 = -242. Let z = -81 + l. Suppose -z*k = 7*k - 405. Calculate the remainder when 177 is divided by k.
42
Let t be (93/62)/(-3 - (-63)/22). Let u = 27 + -16. Let i = u - t. Calculate the remainder when i is divided by 12.
10
Let h(g) = 2*g**3 + 197*g**2 - 92*g + 713. Let u(f) = 98*f. What is the remainder when u(2) is divided by h(-99)?
16
Suppose 42*b + 163 = -104 + 1233. Suppose 5*n = 31 - 6. Suppose -4*x - 18 = -5*x - 4*u, -n*u = -2*x - 3. Calculate the remainder when b is divided by x.
5
Let q(h) = 3*h**2 - 25*h - 8. Let x be q(-5). Let d = 255 - x. What is the remainder when d is divided by 11?
8
Suppose -34 - 136 = -5*v. Let p(z) = -19*z - 299. Let l be p(-26). Suppose -3*w + 2*o = -l, 5*w - 338 = 6*o - 7*o. What is the remainder when w is divided by v?
33
Suppose -h - 4*u - 556 = -5*h, 0 = -h - 2*u + 124. Let s = 141 - h. Suppose -29 = 6*x - s*x. Calculate the remainder when x is divided by 15.
14
Let h be 20/4 - (541 - 6). Let a = 556 + h. What is the remainder when 438 is divided by a?
22
Let m(d) = -d + 13. Let f = -39 - -49. Let u be m(f). Suppose -20 - 160 = -2*c + 4*o, o = -u*c + 305. Calculate the remainder when c is divided by 34.
32
What is the remainder when 41 is divided by ((-91)/49)/(-13) - (-544)/14?
2
Suppose 148 = -170*j + 172*j - 5*z, 4*j + z - 274 = 0. Calculate the remainder when 1377 is divided by j.
66
Suppose 6*y = 4*y - 24. Calculate the remainder when ((-2263)/(-17) - 2) + y/102 is divided by 17.
12
Suppose -10*z = -5*z + 4*x - 56, -3*x = -4*z + 20. Calculate the remainder when 436 is divided by (-114)/(-2) - (z - (5 - -1)).
51
Suppose 273 = 3*s + o - 40, -5*s = -o - 527. What is the | {
"pile_set_name": "DM Mathematics"
} |
c**3 + 3*c**3 - 2*c**3) + (0*c**3 - 2*c**3 + 4*c**3)*(64*c + 49*c - 89*c) - c**4 - 8*c**2 + 8*c**2.
46*c**4
Expand (r - 3*r + 0*r)*(3 - 6 + 1) + (-140*r - 193*r + 64*r)*(0 + 4 - 3) + (-1 + r + 1)*(1 - 4 - 1).
-269*r
Expand -3*o + 2*o - 3*o**2 + o**2 + 2*o**2 + 3*o**2 + 0*o**2 + (o - o + o**2)*(-1 - 3 + 0) + (-4 + 1 + 4)*(7*o**2 - o**2 + 0*o**2) - 2*o**2 + 6 - 6.
3*o**2 - o
Expand -15268*i**3 + 588*i**5 + 15268*i**3 - 3*i**5 + 5*i**3 - 5*i**3 + (-2*i**3 + 2*i**5 + 2*i**3)*(0 + 5 - 4).
587*i**5
Expand (r - r + 2*r)*(-39 + 21 + 9*r + 7*r).
32*r**2 - 36*r
Expand (r**3 + 0*r**3 - 2*r**3)*(12559*r + 12575*r - 21 - 25159*r).
25*r**4 + 21*r**3
Expand (-260*u + 260*u + 3*u**3)*(266 - 78 - 106 + 457 + u + 75).
3*u**4 + 1842*u**3
Expand (-1457 - 1493 + 825)*(1 - 4 + 2)*(-5*v + 0*v + 4*v).
-2125*v
Expand (0*b + 2*b + 0*b)*(b + b - b)*(1944 + 1501 - 2564).
1762*b**2
Expand (-17*q - 18*q + 39*q - 2 + 3*q**2)*(2*q - 17*q + q).
-42*q**3 - 56*q**2 + 28*q
Expand (-955 + 47*d + 955)*(-4*d + 4 - 4)*(-1 - 5 + 5)*(3*d + d - 2*d).
376*d**3
Expand (-15 - 91*m - 9 + 24)*(-28*m + 4*m - 19*m).
3913*m**2
Expand (1 - 15 + 2)*(0*h**4 - 4*h**4 + 6*h**4)*(0*h + 4 + 10*h - 6).
-240*h**5 + 48*h**4
Expand (-4273 + 4*x + 4247 - 2*x)*(2*x - 4*x + 3*x).
2*x**2 - 26*x
Expand (4*u**2 + 40*u + 7 - 15*u - 27*u)*(10*u**2 + 3*u**2 - 6*u**2).
28*u**4 - 14*u**3 + 49*u**2
Expand (-s**3 - 6*s**3 + 0*s**3 + (-3*s + 7*s**2 + 3*s)*(-4*s + 2*s - s))*(16 - 16 - 6*s + 2*s - s + s + (0 + 4 - 5)*(-3*s + 0*s + s)).
56*s**4
Expand (-418 + 144*o + 418)*(-o - 2*o - o)*(6*o**3 - 2*o**3 - 2*o**3).
-1152*o**5
Expand ((1 + 0 - 2)*(-2 - 2 + 2) + (0 + 5 - 3)*(-1 - 5 + 1))*(-20 - 12 + 8)*(0*z - z - 2*z).
-576*z
Expand (-13*u**3 + 6*u**3 + 19*u**3)*(0*u - 2*u + 3*u)*((0 + 1 + 1)*(1 - 1 - u) - 6*u - 4*u + 11*u).
-12*u**5
Expand (d - 3*d + 8*d)*(-d - 2*d + 4*d)*((0*d + 4*d - 3*d)*(-2 + 6 - 3) - 588*d + 2*d - 284*d).
-5214*d**3
Expand (209 - 420 + 862*h**3 + 1403*h**3 + 211)*(3 - 7 + 11)*(4 + 0 - 3).
15855*h**3
Expand 97*v**3 + 50*v**3 + 27*v**3 + (-1 + 0 - 1)*(-2*v**3 + 3*v**3 + 0*v**3) + v**3 + 3*v**3 - v**3 - v**3 + 4*v**3 + 0*v**3.
178*v**3
Expand (-5*z**3 + 4*z**3 + 5*z**3)*(3*z**2 - 5*z**2 + z**2 - 1485*z**2 + 2972*z**2 - 1520*z**2 + (1 - 1 - 2*z)*(-2 + 2 + z)).
-144*z**5
Expand (-v + 3*v - v)*(-11 + 27 + 177).
193*v
Expand (17375*l - 16388 + 16388)*((-3 + 0 + 2)*(2 - 2 - 2) + 1 - 7 + 4 + 3 + 1 - 5) + (0 + 3 - 5)*(l + l - l).
-17377*l
Expand -7*r + 4*r + 7*r + (-1 - 3 + 3)*(2*r + 1 - 1) + 28*r - r + 2*r.
31*r
Expand ((3 + 3 - 4)*(-2 + 1 + 2) - 2 - 2 + 1)*(-1 + 0 + 3)*(-118*g + 118*g + 6*g**2)*(2*g + 0*g + 0*g).
-24*g**3
Expand (2 + 2 - 2389*u - 4 + 1170*u)*(0 + 3 - 1).
-2438*u
Expand -1 + 1 + m**2 + 2*m**2 - 2*m**2 - 2*m**2 + (-m + m + 2*m)*(0 + 0 - 2*m) + 75*m**2 + 1236*m - 1236*m.
70*m**2
Expand (-3 - 3 + 4)*(14*d**4 + 37*d**4 + 38*d**4) - 73*d**4 + 3*d**4 - 17*d**4.
-265*d**4
Expand (-3*v + 5*v - 4*v + 3*v - 2*v + 0*v + (-2 + 2 + 2*v)*(4 - 1 - 1) + 2*v + 1 - 1 + 4*v - 4*v + 2*v + 1503 + 148*v - 1503)*(-5 + 5 + 24*v**2).
3720*v**3
Expand (-404 - 123*h - 437 + 842)*(-8*h**4 - 19 + 19).
984*h**5 - 8*h**4
Expand (-3*v - 211 + 451 - 205)*(6*v + v - 2*v).
-15*v**2 + 175*v
Expand 97 + j**3 - 182 + 97 + 8*j**2 + (4 - 4 + 2*j**2)*(-j - 3*j - 2*j).
-11*j**3 + 8*j**2 + 12
Expand -4*l**4 + 2*l**4 - 10*l**4 + (10 - 10 + 6*l)*(4 - l**3 - 4) - 2*l**4 - 6*l**4 + 0*l**4 + l**4 + l**4 - l**4 + l**4 + 0*l**4 - 2*l**4.
-26*l**4
Expand (215 + 13 + 343)*(-3*m**2 + 3*m**2 - m**2)*(10 + 6 - 1).
-8565*m**2
Expand 325*t**4 - 11*t**2 + 323*t**4 - 650*t**4 + (t**3 + 0*t**3 + t**3)*(t - 2*t - t) + 0 + 0 - t**4 + 2*t**4 - 2*t**4 + 2*t**4 + 8*t**2 - 6*t**4 - 8*t**2.
-11*t**4 - 11*t**2
Expand (-36*a**2 + 11*a**2 - 19*a**2)*(39*a - 1561 + 1561 + (-4 + 1 + 4)*(2*a + a - 2*a)).
-1760*a**3
Expand (2*c - 3*c + 2*c)*(2 - 1 + 0) + 12*c + 3*c + 16*c - 71*c - 314 + 314.
-39*c
Expand ((1 + 3 - 2)*(2*s - s + 0*s) + 2 - 4*s - 2)*(-380 - 501 - 492 - 132)*(5 + 6 - 7).
12040*s
Expand (-550*i + 2701*i + 3254*i)*(4*i - 4*i - i**2).
-5405*i**3
Expand (-136 + 136 - 42*v**2)*(-98*v + 68*v - 77*v).
4494*v**3
Expand (3*b - 3*b + b**2)*((221*b**2 + 261*b**2 - 600*b**2)*(-15*b + 11*b + 11*b) + 0*b**2 + 0*b**2 + 2*b**3) - 3*b**5 + 3*b**5 + b**5.
-823*b**5
Expand ((3 - 1 + 0)*(2*m + 3*m - 4*m) + 2*m - 2*m - m)*(-1625*m + 961*m + 839*m).
175*m**2
Expand (-4*h + 0*h + 0*h)*(-328 + 615 - 447)*(3*h - 5*h + 6*h).
2560*h**2
Expand (f + 1 + 2 - 1)*(f**2 + f**2 + 172 - 180).
2*f**3 + 4*f**2 - 8*f - 16
Expand 240*v - 1214*v**3 + 606*v**3 + 606*v**3 + (14*v + 19 - 19)*(-3*v**2 + v - v).
-44*v**3 + 240*v
Expand 2*o**3 + 3*o**3 - 3*o**3 + (398*o**3 + 83*o**3 + 2083*o**3)*(1 + 3 - 5).
-2562*o**3
Expand -4*t**3 + 3*t**5 + 8*t**3 - 3*t**3 + (-3*t**2 + 3*t**2 + 2*t**3)*(221*t**2 - 295*t**2 - 479*t**2).
-1103*t**5 + t**3
Expand (-14 + 14 + 13*p**3)*(2 - 1 + 7)*(30 + 5*p - 30).
520*p**4
Expand (-3 + 4 - 4)*(-392*r**4 - 635*r**4 - 3490*r**4) - 4*r**4 + r**4 + 2*r**4 + (2*r**3 + 3*r**2 - 3*r**2)*(-5*r - 3*r + 6*r) - 3*r**4 + 2*r**4 - r**4.
13544*r**4
Expand (p - 6*p + 3*p)*(6 + 7 + 6 - 4) - 107*p - 129*p + 204*p.
-62*p
Expand ((84*m + 70*m - 44*m)*(-2 + 1 + 2) + 12*m + 4*m - 6*m)*(0 - 3 + 5)*(-3*m + 5*m - m).
240*m**2
Expand (553 - 553 + 37*m)*((2 - 2 - 2)*(-4 - 2 + 5) - 11 + 3 - 1 + (-5 - 2 + 5)*(-1 + 1 + 1))*(-4 + 5 + 2*m**2 + 4*m**2).
-1998*m**3 - 333*m
Expand -149*c**4 + 158 - 158 + (-6*c**2 + c**2 + 3*c**2)*(19 - 19 + 3*c**2) - 2*c**3 - c**4 + 2*c**3.
-156*c**4
Expand -41*u**3 - 24*u**3 + 56*u**3 + (-u - 2 + 2)*(-4 + 1 - 2)*(-3*u**2 + 6*u**2 - u**2).
u**3
Expand (2*g - 3*g + 3*g)*(-124 - 92 - 21) - 3*g - 4*g + 5*g + (-4 - 1 + 4)*(-2 + 2 + g) + 0 - g + 0.
-478*g
Expand (5*j - 3*j - j)*(2*j + 3757 + 5218 - 5944)*(-2 - 3 + 2).
-6*j**2 - 9093*j
Expand (502*f**3 - 365*f**3 - 4135*f**3)*(2*f**2 + 0*f**2 - f**2).
-3998*f**5
Expand (-2*x + 2*x + x**2)*(1 + 2*x - 1)*(-40 + 10 - 602).
-1264*x**3
Expand (5*o - 2*o + 0*o)*(37*o + 258*o - 544*o - 635*o).
-2652*o**2
Expand -4*a**5 + 6*a**5 - 3*a**5 - a + a - 2*a**5 + (-2*a**3 + a**3 - a**3)*(2*a + 2*a**2 - 2*a) + 104*a**5 - 17*a**5 + 66*a**5.
146*a**5
Expand (-37*z**5 - 1 - 1 + 43*z**5)*(0 + 4 - 1)*(24 + 24 + 41)*(2 + 0 - 3).
-1602*z**5 + 534
Expand l - l - 9*l + (8 - 5 + 7)*(0*l - 2*l + l) - 2*l + 3*l + 0*l.
-18*l
Expand (r - r - 2*r**3)*(6*r**2 + 0*r**2 - 3*r**2) + r**5 - r**5 - r**5 - 2121*r**5 - 177*r**5 - 366*r**5.
-2671*r**5
Expand 2*j**3 - 2*j**3 + 2*j**4 + (j**2 - 1 + 1)*(0*j + 0*j - j**2) + 65*j**4 + 14*j**4 - 191*j**4 + (-1 + 1 + j)*(-2*j + 2*j + 3*j**3).
-108*j**4
Expand (3*t - 4*t + 3*t)*(-3*t + 7*t - 2*t) + (0 + 5*t + 0)*(4 - 4 + 2)*(2*t + t - 2*t + (0 + 1 + 0)*(4*t - t - t) + 401 - 809 + 409 + 701*t).
7044*t**2 + 10*t
Expand (-o**2 - 30*o**2 + o - 7*o**2)*(-2*o - 11*o + 2*o**2 - 10*o).
-76*o**4 + 876*o**3 - 23*o**2
Expand (770 - 420 - 281 + 5985)*(2 - 2 + 4*h).
24216*h
Expand (4*f**2 + f**2 - 3*f**2)*(-433015*f + 433015*f - 618*f**2).
-1236*f**4
Expand (2 + 1 - 4)*(-4 - 2 + 4)*(7160*k**2 + 4254 - 4254).
14320*k**2
Expand (20 + 14 - 54)*(2 - 4 - d**2 + d + 2*d**2)*(0*d**3 - 2*d**3 - 7*d**3).
180*d**5 + 180*d**4 - 360*d**3
Expand (3*t**3 - t**3 - t**3)*(26*t - 10*t - 6*t)*(2 + 14 + 70).
860*t**4
Expand (3*d - 4*d - d)*(0*d - d + 2*d) + (-2*d - 2*d + 2*d)*(d + d - 3*d) + 1 + 2*d**2 - 1 + (-98*d**2 + 19*d**2 - 70*d**2)*(0 + 1 - 2).
151*d**2
Expand (-54*h**2 + 52*h**2 + 5*h + 8*h)*((-1 + 0 - 1)*(4 + 1 - 3) - 4 + 4 - 7).
22*h**2 - 143*h
Expand -57*l**5 + 150*l**3 - 150*l**3 + (-2*l - 7 + 7)*(-2*l**4 + 3*l**4 + l**4) - 2*l**5 + 2*l**5 + l**5 - l**5 + 4*l**5 - 4*l**5.
-61*l**5
Expand -b**3 + 2*b**2 - 2*b**2 + (-3*b + 4*b - 3*b)*(2*b**2 - 2*b**2 - 2*b**2) - 3*b**3 + 3*b**3 - 2*b**3 - 4*b + 4*b**2 - 994 - 45*b**3 + 43*b**3 + 996.
-b**3 + 4*b**2 - 4*b + 2
Expand -k**2 - 764*k + 764*k + 17*k**3 - 5*k**3 - 2*k**3 - 4*k**3 + (-4*k - 2*k**2 + 4*k)*(-4*k + k + 4*k).
4*k**3 - k**2
Expand (-j - 2*j + 2*j)*(1858*j + 383918 - 383918)*(0 - 1 - 1).
3716*j**2
Expand (-2006 - 349 + 4939*n - 4941*n)*(-6 + 3 + 4).
-2*n - 2355
Expand (-1 + 2 - 3)*(s + 2 - 2)*(-559 + 222 - 337)*(-3*s - 2*s**2 + 2*s**4 + 3*s).
2696*s**5 - 2696*s**3
Expand 356*x**2 - 356*x**2 + 35*x**3 + (0 - 2*x**2 + 0)*(-2*x + 7*x + 0*x)*(3 + 0 - 1).
15*x**3
Expand ((-y + 3*y + 0*y | {
"pile_set_name": "DM Mathematics"
} |
n. List the prime factors of 154/k + 3/9.
2, 13
Let m(b) = -3*b - 7. Let h be m(-4). Suppose -5*q + 4*q = -h*s + 20, -s = -5*q - 4. Suppose q = -3*k + 74 + 142. What are the prime factors of k?
2, 3
Let p(r) = 6*r**3 - 2*r**2 + 2*r - 1. Let x be p(1). Suppose -15 = x*i, 5*m - 2*i = -i + 183. List the prime factors of m.
2, 3
Suppose -f + 258 = -834. List the prime factors of f.
2, 3, 7, 13
Let k be ((-5 - -5) + 1)*313. Suppose -m = 2*i - k, 3*i = -2*i + 2*m + 778. What are the prime factors of i?
2, 3, 13
Let c = 33 - 34. What are the prime factors of 522/(-72)*(-7 + c)?
2, 29
Let p = -44 + 33. Let t(g) = -g**3 - 11*g**2 - 4*g + 36. List the prime factors of t(p).
2, 5
Let n be 4 + -2 + 20 + -4. Let b(p) = p**2 + 4*p + 2. Let w be b(-4). Suppose -w*j + n + 28 = 0. What are the prime factors of j?
23
Let t(q) = 116*q**2 - 86*q - 271. List the prime factors of t(-3).
1031
Suppose -5*l = -2*r + 1647, -r + 254 = -l - 562. List the prime factors of r.
811
Let j be 4 + 267/(-6)*-2. Let g = 134 - j. What are the prime factors of g?
41
Suppose 0 = -3*c - 5*s + 2*s - 126, -2*c + 2*s - 72 = 0. Let v = -12 - c. Suppose -v = 2*y - 3*y. What are the prime factors of y?
3
Suppose -2*n + 5*v - 1 = 0, n + 2 = -v + 19. Suppose 3*a + n = -0*a, -2*a - 8 = 5*b. Suppose b = -2*k - k + 9. List the prime factors of k.
3
Let l(f) = -f**3 + 9*f**2 + 16*f + 14. Let s be l(10). Suppose -s*n = -78*n + 904. List the prime factors of n.
2, 113
Suppose 4*o + 5 = 13. List the prime factors of 3115/25 - (-6)/(-10) - o.
2, 61
Suppose 2*h = h + 16. Suppose 0 = -4*a - h, 2*x - 74 = 3*a + 18. What are the prime factors of 224/x + (-3)/5?
5
Let y(u) = 3*u**2 + 6*u + 16. Let n(d) = 2*d**2 + 5*d + 15. Let q(x) = -6*n(x) + 5*y(x). List the prime factors of q(5).
5, 13
Let d be (-146)/(-12) + 6/(-36). Let i(y) = -9 - y**3 - y**3 - 10*y**2 - d*y + y**3. List the prime factors of i(-9).
2, 3
Let n = -99 + 102. Suppose n*o = 10*o - 1680. List the prime factors of o.
2, 3, 5
Suppose g - 45 = 58. Suppose 5*w - g = p + p, -3*w - 5*p = -68. List the prime factors of 7/w + (-82)/(-6).
2, 7
Suppose 5*n - 19009 = -3*o, -n - o + 3000 + 801 = 0. What are the prime factors of n?
3803
Let k(w) = 4*w + w + w**2 - 4 - 9*w. What are the prime factors of k(15)?
7, 23
Suppose -23*j = -9606 - 8610. What are the prime factors of j?
2, 3, 11
Suppose -10*n + 9*n = 19. Let z be 1 + 3/(9/(-51)). Let m = z - n. List the prime factors of m.
3
Let v(m) = -m**2 - 24*m. Let f be v(-12). Suppose -4*o - 2*c = -126, 5*o - 2*c - f = -0*c. What are the prime factors of o?
2, 3, 5
Suppose -11*f = -3*f - 3800. Suppose -30*y - f = -35*y. List the prime factors of y.
5, 19
Let w(d) = -d**3 - 16*d**2 - 16*d - 18. Let i be w(-15). List the prime factors of (-2)/i - (-488)/6.
2, 41
Let u(m) = -m + 13. Let c be u(9). Let o(r) = 2*r**3 - 2*r**2 + 5*r. List the prime factors of o(c).
2, 29
Let r(v) = v**2 - v - 1. Let z(y) = y**3 - 7*y**2 + 5*y + 7. Let g(k) = 4*r(k) - z(k). Let m be g(10). Let x = m + 37. What are the prime factors of x?
2, 3
Let l(t) = -t**2 - 2*t + 2. Let d be l(-2). Suppose -4*a - 24 = 5*p, -d*a + p - 24 = 2*a. Let n = 23 + a. What are the prime factors of n?
17
Let q(s) = -7*s + 6. Let j(f) = -f**3 - 10*f**2 - 9*f - 6. Let k be j(-9). Let v be (-1)/2 + 39/k. List the prime factors of q(v).
5, 11
Let f(u) = 53*u - 6. Let t be f(-3). Let y = t + 275. What are the prime factors of y?
2, 5, 11
Let k = -6 + 117. List the prime factors of k.
3, 37
What are the prime factors of (-7190)/20*(3 + 15/(-3))?
719
Suppose -134 = -2*j + 464. List the prime factors of j.
13, 23
Let t(r) = -r**3 + 16*r**2 + r - 12. Let g be t(16). Suppose -3*z - w = -3*w - 22, 0 = -5*z - g*w + 66. Let b(a) = 3*a - 14. What are the prime factors of b(z)?
2
Let c = 4490 + -2676. List the prime factors of c.
2, 907
What are the prime factors of 1535 + -3*30/(-18)*-1?
2, 3, 5, 17
Suppose 2*b + 1460 = 414. Let i = b - -819. What are the prime factors of i?
2, 37
Let t be (-316)/(-16) - 1/(-4). Suppose -3*c = c - t. Suppose -4*l + 2*a + 80 = 0, c*l + 2*a - 3*a = 100. List the prime factors of l.
2, 5
List the prime factors of (106/10)/(55/825).
3, 53
Let k = 101 - 98. Suppose 4*c + 3*l = 27, 0*c - l = -5*c + 10. Suppose -45 = -2*t + y, t + c*t - k*y - 87 = 0. List the prime factors of t.
2, 3
Let y = -107 - -106. Let g(l) = -155*l + 3. What are the prime factors of g(y)?
2, 79
Let o(m) = -35*m - 2. Let v be o(-1). Suppose -4*l + 5*h + 51 = 0, 3*l - l = -5*h + v. List the prime factors of l.
2, 7
Let b = -27 - -35. Suppose -b*x + 415 = -129. What are the prime factors of x?
2, 17
Suppose 3*r - 4*r + a + 2 = 0, 0 = 2*a - 2. Suppose -5*h = -5*n - 150, 2*h - 88 = r*n - 0*n. Let j = n + 50. What are the prime factors of j?
2, 11
Let y be (10/(-5))/1 - (-1 - 0). What are the prime factors of (1/y)/((-4)/244)?
61
Suppose -24*q = -49*q + 62200. What are the prime factors of q?
2, 311
Suppose -15*r = -9*r - 948. What are the prime factors of r?
2, 79
Suppose 2*a + 232 = 4*u, 192 + 108 = 5*u - 5*a. Let o be (-26)/(-7) + 16/u. Suppose -2*d - 1 = -o*d - 5*h, 2*d - 13 = -h. List the prime factors of d.
2
Let h(g) = -g**2 + 32*g + 32. Let y be h(33). What are the prime factors of ((-285)/(-30))/(y/(-12))?
2, 3, 19
Let u(s) = s**2 + 12*s + 17. Let p be u(-7). What are the prime factors of (1/(p/1236))/(4/(-6))?
103
Let a = -6 + 12. Let q(d) = -1 + 3*d + d - a*d. What are the prime factors of q(-7)?
13
Let o = -1161 + 1860. What are the prime factors of o?
3, 233
Let p = -860 - -1895. List the prime factors of p.
3, 5, 23
Suppose 2*s = -0*s - 3*s. Suppose 2*d + 3*d - 505 = s. What are the prime factors of d?
101
Suppose 2*w = -b + 277, 540 + 4 = 4*w + 4*b. List the prime factors of w.
3, 47
Let p be (3/6)/(2/(-268)). Let h(k) = k**2 - 13*k + 11. Let s be h(5). Let d = s - p. List the prime factors of d.
2, 19
Let w(b) = -b - 6. Let a(c) = c + 7. Let n(p) = 5*a(p) + 6*w(p). Let l be n(-3). Suppose -l*o = 5*s - 4, -3*o + 2*s + 19 = -25. List the prime factors of o.
2, 3
Suppose 3*t - 4 = 68. What are the prime factors of 8/t - 161/(-3)?
2, 3
Suppose 0 = -5*f + 20, 493 = -0*u + u - f. What are the prime factors of u?
7, 71
Suppose 31 = -w + 5*l - 0*l, 3*l - 12 = 0. Let z = w - -33. What are the prime factors of z?
2, 11
Suppose 0 = -9*o + 3096 + 2799. What are the prime factors of o?
5, 131
Suppose 2*b = -2*c + 346, 0*b = 5*c - 4*b - 829. What are the prime factors of c?
13
Let x be 1*(-6)/(-4 + 2). Let t be x*(240/9)/5. Suppose t = 6*m - 4*m. List the prime factors of m.
2
Suppose 3*z - 1529 = -542. What are the prime factors of z?
7, 47
Let y be -10*(2 - (-28)/(-8))/3. Suppose y*s = 214 - 34. What are the prime factors of s?
2, 3
Let h = -17 - 7. Let b = h + 29. What are the prime factors of b?
5
Let m(l) = -45*l - 91. What are the prime factors of m(-18)?
719
List the prime factors of ((-652)/(2/(-2)))/(8 + -6).
2, 163
List the prime factors of ((-14)/6)/(5880/1962 - 3).
7, 109
Let t = -164 - -284. Suppose -h - 237 = -3*h + 3*x, -h + 3*x + t = 0. List the prime factors of h.
3, 13
What are the prime factors of 11660/8 - ((-8)/(-16) - 1)?
2, 3
Let a be (-5 + -32)/((-3)/57). Suppose 437 + a = 5*j. List the prime factors of j.
2, 3, 19
Let a(q) = q + 2. Let o be a(-3). Let c be 120/9 + o/3. Suppose 3*f - 4*r - 18 = 0, -2*f + c = -3*f - 5*r. What are the prime factors of f?
2
Let v(r) = 16*r**2 - 4*r. Let n(x) = 3*x - 8. Let d be n(2). List the prime factors of v(d).
2, 3
Suppose 11*q = -20*q + 6572. List the prime factors of q.
2, 53
Let k(u) = 2*u**3 + 14*u**2 - 7*u + 19. What are the prime factors of k(10)?
17, 197
Suppose -3*z + 185 = 2*o, -11*z = 3*o - 9*z - 290. Suppose 2*u = l + o, -u = -5*l - 57 + 7. List the prime factors of u.
2, 5
Let g = 272 + -14. What are the prime factors of g?
2, 3, 43
Let r = 8 - 6. Suppose r = -t, 0*a - 3*a = -3*t - 144. Let h = a + -18. List the prime factors of h.
2, 7
Suppose 2*g = -3*g - 5. Let c(r) be the third derivative of 9*r**5/10 - r**4/12 - r**3/3 - 9*r**2 + 1. List the prime factors of c(g).
2, 3
Let t(c) = -36*c + 134. What are the prime factors of t(-12)?
2, 283
Let k(b) = b**3 - 6*b**2 + 7*b + 6. List the prime factors of k(6).
2, 3
Suppose -5*h - 17 - 6 = t, 6 = -2*t - 2*h. List the prime factors of 41 - 4/t*- | {
"pile_set_name": "DM Mathematics"
} |
2 = -2*x + 59 for c.
-5
Solve 2*s - 3*b + 3 = 0, 1467 = -5*b + 1462 for s.
-3
Solve 0*q - 10*q - u = 36, 2*u - 8 = 0 for q.
-4
Solve 5*u + 50 = 2*h + 31, 0 = u + 5 for h.
-3
Solve 0 = -12*p - 4*r - 19 - 1, p - r + 3 = 0 for p.
-2
Solve 0 = -22*x + 17*x - 3*y + 32, 0 = 4*x + 2*y - 22 for x.
1
Solve 9 = 2*x - p, -100*x = -105*x - p + 21 + 5 for x.
5
Solve 0 = -3*o - 3*f - 36 + 57, 5*o = 41*f - 471 for o.
-4
Solve 985*p + 3*s + 13 = 983*p, -4*s = 5*p + 29 for p.
-5
Solve -3*l = -5*z - 39, 6*l = z - 29 + 26 for z.
-9
Solve 102 = -2*o - 4*k, 20 = 5*o - 8*k - 211 for o.
3
Solve 0 = 4*u + 5*d - 29, -10174*u = -10179*u + d for u.
1
Solve 2*s + 10 = 4*s + l, 0*s + 5*s = -l + 25 for s.
5
Solve 2*z - 8 = 0, -3*z - 9 = -2*m - 35 for m.
-7
Solve -4*r + 3751*l = 3752*l - 18, 6*l + 17 = r for r.
5
Solve 5*v = -4*u + 26 + 6, 2*u - 16 = -v for u.
8
Solve -5*k = -h + 9, -22*k + 12 = -26*k for h.
-6
Solve -q = 3*u - 6, -545*u + 547*u - 9 = q for q.
-3
Solve -9 = -5*a - z, -3*a + 9*z = -a + 34 for a.
1
Solve -647*d + 22 = 5*q - 648*d, 5*d = 4*q - 47 for q.
3
Solve 0 = 3*l + x - 2, -3*x + 2*x - 6 = -5*l for l.
1
Solve 3*d - 11641*a = -11645*a - 16, -3*d - 8 = -4*a for d.
-4
Solve -2*x + 5*x + 1 = 8*x - 3*a, 3*a = 9 for x.
2
Solve 10*b + 512 = 472, -b = 5*w + 29 for w.
-5
Solve 3*n + 35 = -2*h, 0 = 6*n - 939*h + 942*h + 69 for n.
-11
Solve 0 = -5*d - 5*o - 60, 172*d - 12 = 168*d + 2*o for d.
-2
Solve 11403*i + 26 = 2*l + 11399*i, 4*i + 5 = -l for l.
7
Solve -5*x + 30 = 0, -3*t = 4*x - x - 21 for t.
1
Solve -2*a = 4*g, -2*a - 9*g + 4*g - 1 = 0 for a.
2
Solve -j - w + 1 = 0, 426*j + 3*w - 1 = -418*j + 842*j for j.
2
Solve 3*n = -3*k + 7*n - 38, -2*n + 22 = -3*k for k.
-2
Solve 0 = -4*m - 3*v - 17, 2624*m + 13 = 2620*m - 10*v + 3*v for m.
-5
Solve -3*q + 2*h - 25 = 0, -5*h + 40 - 15 = 0 for q.
-5
Solve -9*q + b + 8 = 100, q + b + 8 = 0 for q.
-10
Solve -h + 44 = -5*l, 0 = -3*l - 1747 + 1738 for h.
29
Solve -5*c + 5*p - 50 = 0, -32 = 147*p - 73*p - 78*p for c.
-2
Solve 153*q - 2*h - 50 = 149*q, 10*q = 3*h + 95 for q.
5
Solve -16 = -2*t - q, -5*t + 14 = q - 20 for t.
6
Solve -r + 5*s = 9 - 44, 24*r = -2*s - 14 for r.
0
Solve 0 = 6*b - 4*b + 10, 3*p - 9*b - 31 = p - 2*b for p.
-2
Solve -a = -25*h + 20*h - 7, -5*h - 1 = 2*a for h.
-1
Solve 21*x - 22*x = -27*c - 165, 33 = -4*c + 3*x for c.
-6
Solve -18 = -5*h - 4*a, -12 = -1585*h + 1583*h - 4*a for h.
2
Solve -1203*f + 3*m = -1205*f - 19, 4*f = -2*m - 18 for f.
-2
Solve 2*b = -u - 85 + 93, 2*u = -3*b + 13 for b.
3
Solve 50 = -5*u - 5*d, -145*u + 143*u + 104 = -2*d + 76 for u.
2
Solve -4*n + 8 = -4*f, f + 63716 = -4*n + 63724 for f.
0
Solve -24 = 4*h, 5*o + h - 263 = -259 for o.
2
Solve 94*g - 99*g + 4*z = 2*z - 25, 3*z = -5*g for g.
3
Solve 9 = 9*l - 3*m - 9, -5*l = 2*m - 32 for l.
4
Solve 3*t - 7430*x + 7431*x = -9, 0 = x for t.
-3
Solve -4*t - 4*w = -12, -t + 2*w + 456 = 453 for t.
3
Solve 122*w - h = 123*w + 10, 22 = -4*w - 2*h for w.
-1
Solve -2*r + 388 = 2*w + 402, -w - 3*r - 11 = 0 for w.
-5
Solve -375*j + 374*j = -a + 11, -71 = -4*a - 5*j for a.
14
Solve -2528*q + 2526*q + 18 = 5*v, -5*q + 22 = v for q.
4
Solve -3*y = -15, -d + 5424*y = 5429*y - 30 for d.
5
Solve -4*y = s - 1, 8*s - s - y + 138 = 0 for s.
-19
Solve 2*m + 7 = -u, 4*m - 136143 = -u - 136144 for m.
3
Solve -2465*d + 2462*d = 3*o - 12, 4*o - 2*d = 40 for o.
8
Solve -r - p = p + 6, 17*r - 18*r = 4*p + 8 for r.
-4
Solve 679*r - 677*r = -3*p + 2, 0 = -2*p + r - 8 for p.
-2
Solve -8*k + 74 = 2*x, -2*x + 2*k + 326 = 332 for x.
5
Solve 4*z + 7 = 3*v, -2*z - 371 = v - 360 for v.
-3
Solve -3*w + 6 + 8 = 5*p, -5*w = -5*p - 10 for w.
3
Solve 12 = 10*f - 6*f, -3*f + 27 = 3*o for o.
6
Solve 2*u + 149 - 155 = -i, 5*i - 4 = 3*u for i.
2
Solve -r - 142 = -4*l - 121, 1 = -l - r for l.
4
Solve 9*x + 21*n = 6*x - 60, 3*n = 3*x - 12 for x.
1
Solve -3*j - 25 = 1414*d - 1418*d, -7 = 5*j + 2*d for j.
-3
Solve -q = 2*t - 11, -34 = t - 2*q - 17 for t.
1
Solve -766 + 783 = -2*a + 3*v, 0 = -4*a + 2*v - 14 for a.
-1
Solve k - 135 + 147 = 4*i, 0 = -4*i + 3*k + 4 for i.
4
Solve -j = -w + 2, -j = -5*w + 5 + 5 for w.
2
Solve -1846*m + 13 = -1848*m + 5*a, 1 = a for m.
-4
Solve -1495*z = 3*g - 1490*z - 16, 3*g = 3*z - 24 for g.
-3
Solve -13*m - 8 = f - 17*m, 2*m - 4 = -5*f for f.
0
Solve 4*f = 5*t - 13, 0 = 4*t - 4*f - 7 - 1 for t.
5
Solve -2*h + 293 - 299 = -3*w, 5*w = -4*h - 12 for w.
0
Solve -6*i - q + 3*q - 10 = 0, 6*q - 3 = 9*q for i.
-2
Solve 2*y + 3*x - 28 = 0, -3*x - 1253 + 1275 = -y for y.
2
Solve 0 = 7*p + 2*f - 10, 42*f - 20 = 5*p + 38*f for p.
0
Solve 3*t - 8 = -4*x, -44*t - 48 = -48*t + 4*x for t.
8
Solve -3*m = 1193*i - 1190*i - 9, -30 = -2*m + 6*i for m.
6
Solve 542*m + 3*k - 27 = 273*m + 272*m, 0 = 4*m + 4*k + 12 for m.
-6
Solve 0 = 2*a - 2*c + 6, 0 = 64902*a - 64899*a - 5*c + 7 for a.
-4
Solve 20 = 4*f + 2156*u - 2157*u, 3*u = -5*f + 25 for f.
5
Solve 2*n + h = 3, 5*n - h - 24 + 13 = 0 for n.
2
Solve -24*n + 21*q = -20*n + 72, -2*n + 14 = 2*q for n.
3
Solve 0 = -y + 5, 215*y - 218*y + 23 = -4*k for k.
-2
Solve -3*v - 4*w = -0 + 2, v + w - 1 = 0 for v.
6
Solve n + 139 = -11*z + 143, 2*n = 5*z + 8 for z.
0
Solve 3*i + 13 = -18*t + 17*t, 0 = 5*t - i + 1 for t.
-1
Solve -42*t + 43*t + 23 = -5*r, -r = 7*t - 9 for t.
2
Solve -i = 4*v - 1, 4*i + 118*v = 121*v + 23 for i.
5
Solve -2*o - 10 = 687*m - 686*m, 5 = 5*m - o for m.
0
Solve -4 = 4*o + 2*r, 9855*o + 4 = 9850*o - 2*r for o.
0
Solve 6 = -2*y + l, -109 = -8*y + 5*l - 135 for y.
-2
Solve -2*k - 16 = -2*y - 6, -4*y + 16 = -2*k for y.
3
Solve -571*w + 4 = 3*l - 573*w, -w - 15 = 5*l for l.
-2
Solve 2*k + 28*a - 10 = 24*a, -3 = 5*k + 3*a for k.
-3
Solve 30 = -5*q - h, -q - 9*h + 8*h - 10 = 0 for q.
-5
Solve 83*i + 25 = -2*h + 88*i, 4*h - 7*i = -41 for h.
-5
Solve -2*y = 2*y - 28, 8*o - 13*o + 3*o - 16 = -2*y for o.
-1
Solve 0 = 14*n + 124*w - 119*w - 179, 0 = 3*n - 3*w - 18 for n.
11
Solve b = 3*g - 22, 3*b + 11118 = -5*g + 11150 for b.
-1
Solve -6 = -k + 3*w, -60 = -3505*k + 3510*k + 3*w for k.
-9
Solve -2*u - 47 = -5*c - 39, 5*u = 5 for c.
2
Solve 3*l - 4*x - 17 = 0, 29*l - 33*l - x - 9 = 0 for l.
-1
Solve 0 = 2*v - 5*i - 27, 2*v + 7 = -3*i - 6 for v.
1
Solve -5*d - 13 - 9 = 3, -5*d - 25 = 5*t for t.
0
Solve 5*o + 15 = 0, -5*b = 2*o + 13 - 12 for b.
1
Solve -3*y = 20770*f - 20773*f - 21, -2*y + 32 = -5*f for f.
-6
Solve 3*p = -3*h + 3, 3*h + 30*p - 101 = -22*p for h.
-1
Solve 49*y - 48*y + 14 = 2*f, -5*y = -32*f + 268 for y.
4
Solve 23 = -4*s + 5*o, 20*s - 18*s + 3*o = 27 for s.
3
Solve -h - 2*a - 4 = 0, 24*a = -2*h + 22*a - 2 for h.
2
Solve 6 = -2*r, -301*r = 2*b - 309*r - 22 for b.
-1
Solve 0 = a + 4*o + 13, -8*a - 280 = -o - 308 for a.
3
Solve -4*y + 3*u + 103 - 82 = 0, 4*y = 4*u + 24 for y.
3
Solve -3*h + 23 = -5*q + 46, 15 = h + 4*q for h.
-1
Solve u + 4*z + 14 = 0, 0 = -31*u + 28*u + 2*z for u.
-2
Solve 5*w = -4*z - 5, 2*z + 19 = 10*w - 7*w for z.
-5
Solve 8*t - 4*t = f + 8, 10*f - 52 = -4*t for t.
3
Solve -7*r + 5*a + 30 = 0, -4*r = 3*a + 2*a - 25 for r.
5
Solve 4*u - 12 = -4*q, -4*q + 19*u + 32 = 13*u for q.
5
Solve -23*p + 28*p + 7 = 5*r - 13*r, -r + 2*p = -7 for r.
1
Solve -3490*x = -3489*x + 4*j + 36, -2*x + 3*j = 39 for x.
-24
Solve -4*q = -5*m - 30, -4*m + 14*q = 17*q + 24 for m.
-6
Solve -2*f + 39*x + 13 = 36*x, -3*x - 12 = -3*f for f.
-1
Solve -5*f = -m - 43, 136*f - 139*f + 9 = 5*m for m.
-3
Solve -115*s + 100*s = -4*c + 43, 4*s - c + 12 = 0 for s.
-5
Solve 2*y - 3*t - 1 = 0, -y - 46*t = -49*t - 5 for y.
-4
Solve 4*v - 222*n + 1 = -217*n, 0 = -4*v - 4*n + 8 for v.
1
Solve 1021*u - 1020*u - 3*r = -28, -r = -3*u - 60 for u.
-19
Solve 226*z - 224*z - 2*k + 4 = 0, 2*z - 3*k = -7 for z.
1
Solve 0 = 4*t - p - 25, 0 = -2*t + 381*p - 380*p + 21 for t.
2
Solve -2*q + 5*a + 48 = 5, -a = q + 10 for q.
-1
Solve -5*b - 202*d + 206*d = -25, -d = b - 5 for b.
5
Solve -4*c + 4 = 4*a + 4, 21*c + 2 = -3*a + 74 for a.
-4
Solve -66675 = -0*l - 2*l + 4*g - 66681, -g + 6 = -2*l for l.
-3
Solve -1 = 5*s - 5*o - 51, -5*s = o - 26 for s.
6
Solve -7*u + 65 - 50 = -n, 5*u - 10 = 0 for n.
-1
Solve 3*f + 18 = -8*m, 3*f = -4*m - 478 + 472 for m.
-3
Solve -k + 1 = 4526*l - 4531*l, 2*l + 2*k + 5 = 7 for l.
0
Solve y = 220*d - 225*d - 45, 0 = -4*d + y - 27 for d.
-8
Solve l = 3*r - 26, -100*l = -101*l - 3*r - 14 for l.
-20
Solve 30*y = | {
"pile_set_name": "DM Mathematics"
} |
lest value in 3, 2/13, -22, -3?
-22
Which is the third biggest value? (a) 1/61 (b) 0.1 (c) 4/5 (d) 1 (e) -5
b
Which is the smallest value? (a) -47/5 (b) 2/7 (c) -3 (d) -4 (e) -90
e
What is the biggest value in -2, 1/3, 1768, -2/21?
1768
Which is the third smallest value? (a) 26/217 (b) 27/16 (c) -0.1
b
What is the third biggest value in -1, -1/54, 42.2?
-1
What is the biggest value in 35, -2/19, 3.3?
35
Which is the second biggest value? (a) 2/59 (b) -0.5 (c) -142
b
Which is the fourth biggest value? (a) 12 (b) 2 (c) -11 (d) 3
c
What is the smallest value in 3/73, 67, 17?
3/73
What is the biggest value in 6, -0.3, -3/428, 2?
6
What is the second biggest value in 48.4, -127, -0.4, 2/11?
2/11
Which is the second biggest value? (a) -4 (b) -1/7 (c) 1/1758 (d) -1 (e) 1
c
What is the third smallest value in 1, 6, -2/5, -245/13, -11/3?
-2/5
What is the second biggest value in 3, -5, 0, -18, 682/7?
3
What is the biggest value in -222/7, 2/17, 13?
13
What is the third smallest value in 5, 66/5, -3/2, 137, 4?
5
What is the second smallest value in -124/13, -0.4, 5, 1/3?
-0.4
What is the biggest value in -143, 1229, 0.4?
1229
What is the third biggest value in -7, -21, 2/17, -0.09, -4?
-4
What is the second smallest value in 4, -2/23, -0.3, -8/3?
-0.3
Which is the biggest value? (a) -5 (b) 224 (c) -1/3 (d) -3/4 (e) -2 (f) 1/5
b
What is the third smallest value in 0.1, 3, -2/3, 11268?
3
What is the biggest value in -0.5, 5, -0.3, -0.03, -1/4?
5
What is the fourth smallest value in -2, 0, 0.088, 1, -2/19, 5?
0.088
What is the second biggest value in -89.9, 417, -2/19?
-2/19
Which is the third smallest value? (a) 0.8 (b) -22 (c) 0.3
a
What is the fourth biggest value in 0.4, -1/7, -231, -22, 2, 4?
-1/7
Which is the fifth smallest value? (a) 3/4 (b) -5 (c) -1/3 (d) 8 (e) -0.3 (f) -242
a
What is the third biggest value in -1/3, -2/33, 31/5?
-1/3
What is the fourth smallest value in -0.1, -4437, 0.2, 8/7?
8/7
What is the fourth biggest value in 1/7, 3/7, 0, 195/8?
0
What is the third biggest value in 1/5, -2886, -1, 0.5?
-1
What is the third biggest value in -0.3, -3, -544582?
-544582
Which is the second biggest value? (a) 0.5 (b) -64/45 (c) -15
b
Which is the smallest value? (a) -2/7 (b) -2.019 (c) 8 (d) 1
b
What is the second smallest value in 0.11, 2, -2, -1/21, 18?
-1/21
Which is the smallest value? (a) 2872 (b) -2/17 (c) 5 (d) -0.25
d
What is the second smallest value in -32/3, 2/19, 7, -7?
-7
Which is the fifth smallest value? (a) 11 (b) -23 (c) 3/5 (d) 2/5 (e) 4/9 (f) 0
c
Which is the third biggest value? (a) 147 (b) -5 (c) -4 (d) 5
c
What is the second smallest value in 2/39, -2/3, 1/5, -5, 1/3?
-2/3
Which is the biggest value? (a) 0.08 (b) -6 (c) 0.2 (d) -2
c
Which is the biggest value? (a) 111 (b) -29/56 (c) 4
a
Which is the second smallest value? (a) -1835 (b) 5 (c) -5 (d) -1/3 (e) 16
c
What is the third smallest value in -0.62, 1, 7, -1?
1
What is the smallest value in 0.1, -293165, -4?
-293165
What is the biggest value in -1, -35, -3122?
-1
What is the second smallest value in -2.01, 5, -1/311?
-1/311
Which is the fifth biggest value? (a) 0.1 (b) -0.038 (c) 0.24 (d) -7 (e) 3 (f) -1
f
What is the second smallest value in 5, -2/7, -7/118, 3?
-7/118
What is the biggest value in -0.25, 3/7, -4, -1, 1?
1
What is the second biggest value in -2/5, 2, 18191.6?
2
What is the second smallest value in 22, 9, 0.84, -2/5?
0.84
Which is the fifth biggest value? (a) -2/7 (b) -1 (c) -11 (d) 2/17 (e) -2/19
c
Which is the second smallest value? (a) 1/8 (b) -4 (c) -0.1 (d) -7 (e) -2/3
b
Which is the second biggest value? (a) -2 (b) 2250 (c) 8/7
c
Which is the second biggest value? (a) 2 (b) 0.124 (c) -1/3 (d) 5 (e) -880
a
Which is the smallest value? (a) 215 (b) 0.1 (c) -8.6
c
What is the third biggest value in -0.4, 12, 2/9, 108/17?
2/9
What is the sixth smallest value in 3/2, 0.4, -0.08, -132, 4, -0.1?
4
Which is the second smallest value? (a) -1/5 (b) 0.4 (c) 4 (d) -0.459
a
What is the fourth smallest value in 4, -3, -5, -0.044, 23?
4
Which is the third smallest value? (a) 1/8 (b) 4/7 (c) 779.8
c
What is the fifth biggest value in 11, 1/2, 56, -95, -1?
-95
Which is the second smallest value? (a) 1 (b) 2 (c) -13153
a
Which is the smallest value? (a) 6641 (b) -1 (c) -2 (d) -15
d
What is the third smallest value in -2/3, -2/7, 2/9, 2/11, -1/121?
-1/121
Which is the third smallest value? (a) 2/25 (b) -85 (c) -3 (d) -5 (e) -1
c
What is the fourth smallest value in 2, -22, -2/5, -0.3, 0.11?
0.11
Which is the second biggest value? (a) 0.012 (b) 3/4 (c) -2/9 (d) 21
b
What is the third biggest value in -4, 0.1, -973?
-973
Which is the fifth smallest value? (a) 0.5 (b) 2.3 (c) -4 (d) 4 (e) 0 (f) 2/9
b
What is the fourth biggest value in 1, 2/15, 36, 22, -0.1, 2/9?
2/9
What is the second biggest value in 0.9, 4, -2749?
0.9
What is the third smallest value in -18/13, -3745, 0.3?
0.3
Which is the smallest value? (a) 1/2 (b) 239 (c) -5 (d) 2/143
c
What is the third biggest value in 18, 1/3, 46?
1/3
Which is the second smallest value? (a) -0.7 (b) 7 (c) 1/10 (d) 0 (e) 4
d
What is the third biggest value in 0.034, -5, -1/4, 327, -2/13?
-2/13
What is the second biggest value in -1/4, 3/104704, 3, -0.4?
3/104704
What is the fourth biggest value in 0.5, 5, 1, -1/6, 1.1?
0.5
What is the fourth smallest value in -6, 22, -27, -0.2?
22
Which is the third biggest value? (a) 4 (b) -45.4 (c) 4.59 (d) -1/5
d
What is the second smallest value in -0.5, 7, -5/3, -6/89?
-0.5
Which is the fourth smallest value? (a) -4 (b) 2 (c) -2 (d) 0.8125 (e) -5
d
What is the fourth biggest value in -0.08, -0.2, 0.3, 30?
-0.2
Which is the fifth smallest value? (a) -61 (b) -0.5 (c) 4 (d) -2.3 (e) -5/4
c
What is the fourth smallest value in 0, 12, -0.5, -1/6, 7?
7
Which is the smallest value? (a) 8.14 (b) -0.3 (c) 2 (d) 105
b
Which is the second smallest value? (a) -2 (b) 20/9 (c) -288
a
Which is the third smallest value? (a) 9.32 (b) -81/2 (c) -3 (d) 0.01
d
Which is the third smallest value? (a) -0.1 (b) -3 (c) 19 (d) -2.2801
a
Which is the fourth smallest value? (a) 2/3 (b) 1.78 (c) 4 (d) 1/5
c
What is the third smallest value in 1/2, -6/887, 2/9?
1/2
What is the second smallest value in 0.4, 3/2, 5, -0.0263, -1/10?
-0.0263
What is the second smallest value in 1197/8, 4, -1.8?
4
Which is the fourth smallest value? (a) -5 (b) -39 (c) -0.2 (d) -203 (e) -0.1
c
Which is the second biggest value? (a) 0.9 (b) 5 (c) -2 (d) 1/1405
a
What is the third smallest value in 6, 0.4, -5, -1790?
0.4
Which is the smallest value? (a) 0.4 (b) 3/8 (c) -92 (d) -5
c
What is the third biggest value in -2/12867, -1/3, 4, 2, -4?
-2/12867
What is the fifth biggest value in 1, 0.3, -1/51, 0.12, 36?
-1/51
What is the fourth smallest value in -2, 0.5, 1, 3/31, 53, 5?
1
Which is the fourth biggest value? (a) -0.1 (b) 73/5 (c) 0 (d) 0.3 (e) -0.03
e
What is the smallest value in 1462, 324, 0.5?
0.5
Which is the second smallest value? (a) -92645 (b) 2 (c) 3/2
c
What is the third biggest value in 1, 3, -1/8, -2985?
-1/8
What is the third smallest value in 29, -1/22, -2/17, 0.4, 5?
0.4
Which is the smallest value? (a) -29.12 (b) -5 (c) 9
a
What is the fourth biggest value in 4, 5, -0.5, 1/6, -1.5?
-0.5
What is the second smallest value in 2/44085, -0.4, 0, 4, -0.11?
-0.11
Which is the fifth biggest value? (a) 0 (b) -7 (c) 179 (d) -2 (e) -3 (f) -4/7
e
Which is the second smallest value? (a) -2 (b) -0.2 (c) -0.3 (d) 4084
c
Which is the fifth biggest value? (a) 0.2 (b) -7/9 (c) 3/8 (d) 3 (e) -1.7
e
Which is the second smallest value? (a) 2/9 (b) 302 (c) -151
a
What is the smallest value in 0.4, -4, -2, 1/2, -1284, 2/15?
-1284
Which is the sixth smallest value? (a) 3/5 (b) -3049 (c) 2 (d) -3 (e) -0.05 (f) 0.3
c
Which is the sixth smallest value? (a) -1/9 (b) -2/11 (c) 1/11 (d) 0.3 (e) -4/9 (f) -31
d
Which is the third smallest value? (a) -403 (b) 215 (c) -0.1
b
Which is the second smallest value? (a) -7/4 (b) 0.1 (c) -0.3 (d) -0.04 (e) -2/17 (f) 2/7
c
What is the fifth biggest value in -3, -1/2, 32.9, 3, -5?
-5
W | {
"pile_set_name": "DM Mathematics"
} |
-t*j + 36. Find the second derivative of -15*g**j - 113 + 113 - 5*g wrt g.
-90*g
Let j(p) be the first derivative of 33*p**5/5 + 9*p**4/4 - 329*p**2 + 4*p + 2921. Find the second derivative of j(y) wrt y.
396*y**2 + 54*y
Let s = 275 + -272. Differentiate 6*v**s - 1871*v**2 + 87 + 1876*v**2 + 15 with respect to v.
18*v**2 + 10*v
Let j(a) be the third derivative of 7439*a**4/12 - 3416*a**3/3 + 8650*a**2 - a. Find the first derivative of j(t) wrt t.
14878
Let x(y) be the third derivative of -28*y**6/15 + 4*y**5/15 + 85*y**4/3 + y**3/6 + 83*y**2. Find the second derivative of x(v) wrt v.
-1344*v + 32
Let w(y) = 814*y**3 + y - 2300. Let a(f) = 1631*f**3 + f - 4602. Let c(b) = -4*a(b) + 7*w(b). Find the second derivative of c(t) wrt t.
-4956*t
Let d(j) be the third derivative of 37*j**7/21 + j**6/30 + j**5/30 + 203*j**4/24 + 3*j**2 - 34*j. Find the third derivative of d(p) wrt p.
8880*p + 24
Let f(h) = 552*h**3 + 145*h - 38. Let d(t) = -110*t**3 - 29*t + 8. Let s(k) = -11*d(k) - 2*f(k). What is the second derivative of s(v) wrt v?
636*v
Let g(s) = 1091*s**2 - 201*s + 5. Let h(i) = 3275*i**2 - 604*i + 15. Let v(t) = 17*g(t) - 6*h(t). What is the second derivative of v(r) wrt r?
-2206
Let q = 3197/420 - 52/7. Let w(p) be the third derivative of 0 + 0*p**3 - q*p**5 + 0*p - p**4 + p**2. What is the second derivative of w(n) wrt n?
-22
Let a be ((-8)/(-10))/((-4)/380). Let m be a/(-18) - 8/36. Find the second derivative of x + 9*x**4 - 4*x**3 + m*x**3 + 14*x**4 wrt x.
276*x**2
Let z(i) = i**3 - 3*i**2 - 7*i - 1. Let m be z(5). Let c = 2 + m. Find the second derivative of 29*v**2 + c*v - 7*v**4 - 29*v**2 wrt v.
-84*v**2
Differentiate -2782 - 3167 + 13187*t**2 - 3177 + 271 wrt t.
26374*t
Let h(g) be the third derivative of -163/6*g**3 + 0*g**4 - 242*g**2 + 0*g + 49/24*g**6 + 0*g**5 + 0. What is the derivative of h(w) wrt w?
735*w**2
Let s be (36 + -6)*(-2)/(-5). Suppose -2*r = -3*k + r + 60, 0 = -4*r + 4. Find the second derivative of k*d + 23*d**2 + s*d - 15*d wrt d.
46
Let x(h) = 83*h**2 - 8*h - 7. Let a(o) = 41*o**2 - 4*o - 3. Let n = 120 - 117. Let u(z) = n*x(z) - 7*a(z). What is the second derivative of u(d) wrt d?
-76
Suppose 2*c + 6 = -3*j, 4*j = -j + 3*c - 29. Let l be (j/6)/(4/(-18)). Find the third derivative of 3*h**l - 5*h**3 + 9*h**3 + 10*h**2 + 6*h**3 wrt h.
78
Let g(y) = -2054*y**3 + 4*y**2 + 24*y + 410. Let u(a) = 4111*a**3 - 7*a**2 - 42*a - 821. Let w(p) = 7*g(p) + 4*u(p). What is the derivative of w(s) wrt s?
6198*s**2
Let j(c) be the second derivative of 127*c**6/15 + 3*c**5/20 + 4411*c**4/6 + 9148*c. Find the third derivative of j(r) wrt r.
6096*r + 18
Let p(y) be the third derivative of 389*y**7/210 - y**6/120 - 13*y**5/60 + 5*y**4/8 - 304*y**2 + 4*y. Find the third derivative of p(q) wrt q.
9336*q - 6
Suppose -27 = 7*i - 139. Suppose -i - 72 = -8*r. Find the second derivative of 10*h + r*h - 9*h + 9*h**2 wrt h.
18
Let a(h) be the first derivative of -h**4 - 67*h**2 + 72*h**2 + 3*h**3 - 53 - 70. Find the third derivative of a(z) wrt z.
-24
Let b be -20*6/(-24) - 2. Find the second derivative of -41*q**5 - 4 - 20*q**b + 20*q**3 - 48*q**5 - 4*q wrt q.
-1780*q**3
What is the third derivative of 507*w**5 + 511*w**5 - 1460*w**2 - 2804*w**5 wrt w?
-107160*w**2
Find the first derivative of -1125*o**3 - 108*o**3 - 4655 - 4126 - 1170 + 1700 wrt o.
-3699*o**2
Suppose n + 0*n - 2 = -4*h, -2*n - 5*h + 1 = 0. Let i be (-258)/(-33) + n/(-11). What is the second derivative of -i*g + 30*g - 20*g**4 + 5*g**4 wrt g?
-180*g**2
What is the derivative of 989 + 267 - 149*h**2 - 2*h**3 - 387 + 951 + 1137*h**2 wrt h?
-6*h**2 + 1976*h
Suppose -41 = 5*i - 11. Let n be (-3)/(-6)*(-228)/i. What is the derivative of -a**3 + 16*a**3 - 3 + n wrt a?
45*a**2
Let c(u) = -251*u - 7277. Let j be c(-29). Let y(o) be the first derivative of -39*o - 27 + 0*o**j + 28/3*o**3. What is the first derivative of y(a) wrt a?
56*a
Find the third derivative of -2735*i**2 + 1269*i**2 + 36*i**3 - 3*i**5 + 0*i**5 + 1303*i**2 - 3 + 0*i**5 wrt i.
-180*i**2 + 216
Find the second derivative of 571*k**3 + 2*k**4 - 136*k**3 - 2340*k + 310*k**3 wrt k.
24*k**2 + 4470*k
Let r(u) be the first derivative of -7394*u**5/5 + 5493*u - 696. Differentiate r(h) with respect to h.
-29576*h**3
Suppose -10*q + 28 = -3*q. Suppose -2*l - 29 = 3*k - q*k, -5*k - 2*l + 157 = 0. What is the third derivative of 101*n**2 + 28*n**5 - 56*n**2 - k*n**2 wrt n?
1680*n**2
Let d(b) be the second derivative of -b**8/28 - 141*b**5/20 + 95*b**4 - 2153*b - 2. What is the third derivative of d(k) wrt k?
-240*k**3 - 846
Suppose -186*c + 190*c = 20. Find the second derivative of -b**2 - 18*b + c*b - 471*b**3 - 19*b + 480*b**3 wrt b.
54*b - 2
Let o = 2025/452 + -26/113. Let d(r) be the first derivative of -o*r**4 + 4 - 13/3*r**3 + 0*r + 0*r**2. Find the third derivative of d(b) wrt b.
-102
Let i(g) = -g**2 + 10*g. Suppose -p + 11*p = 70. Let b be i(p). What is the derivative of 10 + b*t + 1 + 6 - 2 wrt t?
21
What is the first derivative of 460 + 16*w + 6*w + 2*w - 34*w**3 + 7*w**3 + 2262 wrt w?
-81*w**2 + 24
Let h(i) = 6*i - 59. Let y be h(15). What is the second derivative of -y*w + 0*w**3 + 37*w**3 + 5*w**3 wrt w?
252*w
Let g(c) be the third derivative of -79/6*c**3 + 0*c**4 - 2*c**2 - 1/120*c**6 + 0*c - 1/30*c**5 + 7/30*c**7 + 9. Find the third derivative of g(f) wrt f.
1176*f - 6
Let h(q) = -2*q**2 + 2 - 21*q + 11*q**2 + 0*q**2 + q. Let t(g) = -17*g**2 + 40*g - 5. Let y(w) = -5*h(w) - 2*t(w). What is the second derivative of y(v) wrt v?
-22
Let w(q) be the first derivative of 1262*q**5/5 - 524*q - 1532. Find the first derivative of w(l) wrt l.
5048*l**3
Suppose 0 = -5*n + 5*q - 10, 0*q - q = -1. Let t be 0 + (n - 1) + 4. Find the third derivative of -24*s**2 + 3*s**2 - 18*s**t + 3*s**5 + 9*s**5 wrt s.
720*s**2
Let g(y) be the third derivative of 847*y**6/120 + 2425*y**3/2 + 2241*y**2 - y. What is the derivative of g(o) wrt o?
2541*o**2
Let q = 493 + -481. What is the second derivative of -57*y + 30*y + 29*y - 6 - 2*y**4 + q*y**2 wrt y?
-24*y**2 + 24
Suppose -5*x = -3*t + 11, 3*t - 25 = -0*x - 2*x. Let n = t + 14. Find the second derivative of -18 - 5*q + 16*q**4 + 18 + n*q wrt q.
192*q**2
Let j(y) = -3*y - 19. Let k be j(-8). Suppose 0 = -5*q + g + 18, k*q - 3*q = 4*g. Find the second derivative of 24*d**4 + 12*d - 47*d + 10*d**q wrt d.
408*d**2
Let o = 113 - 171. Let m = -52 - o. What is the third derivative of 17*h**2 + 11*h**6 - 2*h**m - 5*h**2 wrt h?
1080*h**3
What is the first derivative of a + 8*a**3 - 35*a**4 - 343 + 45*a**4 - 101*a**4 - 12*a**4 wrt a?
-412*a**3 + 24*a**2 + 1
Suppose -3*b - o = -67, 2*o = -0*o + 8. Let d(l) be the first derivative of -b*l + 8*l + 6*l**2 + 18 - 19. Differentiate d(y) with respect to y.
12
Let p(q) be the first derivative of -77*q + 71*q + 3 + 1 + 2*q**2 + 64*q. Differentiate p(v) with respect to v.
4
Let l(k) = 14*k**2 + 17*k + 1. Let d be l(-3). Suppose 4*m - 16 = d. What is the derivative of 10*r - m - 2 + 5 wrt r?
10
Let n be 1*7/(-35)*-5. Suppose -w + 23 - 2 = 0. What is the second derivative of -w*i**2 + n + 61*i - 57*i - 1 wrt i?
-42
Find the second derivative of 306*r**4 - 517*r - 922*r + 159*r + 299*r wrt r.
3672*r**2
Let s(v) = -5*v + 167. Let q be s(33). What is the second derivative of -13*k**2 + 36*k + 45*k**q - 14 + 12 wrt k?
64
Let f(o) be the first derivative of 0*o + 15*o**2 + 23 + 55/3*o**3. Find the second derivative of f(l) wrt l.
110
Let p(r) be the third derivative of r**4/24 + 2*r**3 - 4*r**2. Let g be p(-6). Differentiate 7*w**2 + 2*w**2 + 10 - g*w**2 + 11*w**2 with respect to w.
28*w
Let u(i) be the first derivative of -7741*i**2/2 - 4061*i - 2629. Differentiate u(g) wrt g.
-7741
What is the first derivative of -83*z - 63*z + 145*z - 29*z**3 + 839 + 182*z**3 wrt z?
459*z**2 - 1
Let c(u) = 14*u - 210. Let y be c(16). Find the second derivative of y - 91*b**2 - 15 - 5*b + 3*b + 5 + b wrt b.
-182
Let h(g) = -16*g**3 + 65*g**2 + 386*g - 47. Let v(j) = 47*j**3 - 196*j**2 - 1159*j + 130. Let p(d) = 11*h(d) + 4*v(d). Find the second derivative of p(c) wrt c.
72*c - 138
Let w(p) be the second derivative of -p**8/28 + 57*p**7/14 + p**5/20 - 1501*p**4/3 - 1244*p. What is the third derivative of w(h) wrt h?
-240*h**3 + 10260*h**2 + 6
Suppose 5*k - 7 = -4*h, -3*h - 2 = | {
"pile_set_name": "DM Mathematics"
} |
+ 0.07144. Which is the closest to z? (a) 0 (b) y (c) 0.7
b
Let g be (12/30)/(6/(-10)). What is the closest to 0.1 in 1/4, -4/21, g?
1/4
Let x = -0.2 + 0.7. Let m = x - -4.5. Suppose -7*f - 569 = -548. Which is the closest to 0.1? (a) m (b) f (c) -0.5
c
Let n(f) = 7*f + f**3 - 3*f**2 - 3*f**2 - 2*f**2. Let d be n(7). What is the nearest to d in -0.1, -1/6, 2/11?
-0.1
Let q = -0.2 + 0.3. Let z = -0.1 - q. Let m = -17.4 + 19.4. Which is the nearest to z? (a) 1/3 (b) m (c) -0.5
c
Let k = 1.041 + -0.041. Let m be (9/12)/((-2)/(-8)). What is the closest to k in 2/3, m, 4?
2/3
Let v = 25.6 + -22.6. Which is the nearest to -1/3? (a) 0.15 (b) 2/13 (c) v
a
Let a = -5668 - -28341/5. Let l = -3 - -2.6. What is the closest to a in 2/19, 0.4, l?
2/19
Let y = -85 + 84.927. Let t = -0.073 - y. What is the nearest to -1 in 5, t, 7/6?
t
Let l = -0.3 + 15.3. Let s = 13 - l. Which is the closest to 1? (a) 1/4 (b) 0.3 (c) s
b
Let v = -8252/5 + 1650. Which is the nearest to 1? (a) -2/25 (b) -1 (c) v
a
Let d(r) = 2*r**3 - r**2 - 3*r - 1. Let n be d(-1). Let l be (-5 + 4 + n)*6/4. Which is the closest to l? (a) -3/7 (b) 5 (c) -4
c
Let x = 44 + -216/5. Let z = 179/4 + -45. Which is the nearest to -2/7? (a) -4 (b) z (c) x
b
Let g = -101 - -76. Let s = 27 + g. Let i = 167/245 - 4/49. What is the nearest to 1/4 in s, i, 0.2?
0.2
Let p = -97.9 + 89. Let w = 7.9 + p. Which is the nearest to -0.1? (a) -0.2 (b) w (c) -3
a
Let k = -105 - -733/7. Let g be 266/(-616) + (-2)/(-8). What is the nearest to k in 0.1, -2/7, g?
-2/7
Let a = -402 + 6832/17. Let o = 1.567 - 1.267. What is the nearest to 2/5 in a, 0.2, o?
o
Let n = -869/4 - -218. Which is the nearest to 1? (a) -6/11 (b) n (c) 0.3
b
Let n = -1534/7 + 5456/21. Let j = -604/15 + n. What is the closest to -1 in j, -2/13, 0.1?
-2/13
Let z = -0.13 - -1.13. Let q = 4829/640 - -7/128. Let o = q + -8. Which is the nearest to z? (a) 6 (b) -5 (c) o
c
Let z = -3.6 + 4. Let w be (8 - 3)*(-8)/100. Let b = 0.17 + -0.07. What is the nearest to b in -3, z, w?
z
Let o = 0.1 - 12.1. Let k = 131 - 142.6. Let w = o - k. What is the closest to 0.2 in -0.3, w, -4?
-0.3
Suppose 50 = 2*v + 3*v. Let f be (1/2)/((-1)/v). Let j be -6*(-4)/12 - 30/14. What is the closest to f in 3, -0.1, j?
j
Let d = 36 - 35.86. Let i = 1.86 + d. Which is the closest to -2? (a) -1/5 (b) i (c) -0.3
c
Let j = 4/111 + 400/1221. What is the closest to 1/2 in -1/3, j, -1?
j
Let a = 1115.1 - 1115. What is the closest to a in -16, -3, -5, -2/7?
-2/7
Let y = 55.3 - 58. Let c = -2.5 - y. What is the nearest to -1/2 in c, -1/6, 4?
-1/6
Let w = 2 + -3. Let s be (3 + -2)*(-1)/3. Let i = 3.46 + -2.96. What is the closest to w in -4/7, s, i?
-4/7
Let d = 4 + -3.8. Let s = -26 + 31. Which is the nearest to 0.5? (a) s (b) 1/3 (c) d
b
Let a = 14.9 - 15. Let d = -0.353 + -0.117. Let t = d - -0.07. What is the closest to a in 0.5, -3/2, t?
t
Let p = -24/5 + 91/20. Let u = -12.35 - -16.5. Let z = u + -0.15. What is the closest to p in -1/4, z, 0?
-1/4
Let t = -18 - -13. Suppose 0 = -3*w + 12 - 3. Suppose 4*v + 81 - 84 = i, 0 = -4*v + 2*i + 2. What is the nearest to t in w, v, 0.3?
0.3
Suppose -4*n + 16 = -2*n. Suppose -3*l + l = n. Let h be (18/(-54))/((-1 + 2)*-2). What is the nearest to 0.2 in h, -5, l?
h
Let x = -5 + 7. Suppose 0 = -2*y - x*n - 6, 4*y - 2*n + 3 = -9. Let h be y/18*12/(-8). Which is the closest to 1? (a) h (b) 4 (c) 0.2
a
Suppose f = -3*x + 14, -42 + 18 = -3*f - 3*x. Which is the nearest to -2/7? (a) 3/5 (b) f (c) -2/9
c
Let z = -521 - -521. What is the closest to z in 0.4, -0.1, -5/4, 0?
0
Let x = -5657.029 - -5675. Let y = 0.029 + x. Which is the nearest to 0.1? (a) y (b) -2 (c) 1
c
Let k = 198.1 - 203.1. What is the nearest to 2/3 in k, -4, 1/3, -0.4?
1/3
Let q(f) = f**2 + 9*f - 27. Suppose -5*v = 28 + 27. Let z be q(v). Suppose 0 = 3*y - 6*y. Which is the closest to y? (a) z (b) -1/11 (c) 2/7
b
Let u = -719 + 716. Which is the closest to 7? (a) u (b) -4 (c) -2/7 (d) -5
c
Let v = 0.1667 + 0.8333. What is the closest to v in -4/9, 0.5, -1, 4/5?
4/5
Let t = -0.4 - 0. Let s = -22.5 - -22. Let b = -0.3 - s. What is the closest to b in 1/2, -5, t?
1/2
Let i(q) = -q**2 + 3*q + 34. Let t be i(7). Suppose 4*m - 2*l = -3*l + t, 3*l - 5 = m. Which is the nearest to -2/9? (a) -4 (b) m (c) 0
c
Let p be (2/4 - (-43280)/9632) + -5. Which is the closest to p? (a) 5 (b) 4/5 (c) 0.3
c
Let a = -676 + 675. What is the closest to 2 in 1, a, -5.3?
1
Let a be 9/(-36) + 4/((-240)/9). What is the closest to 1 in -0.2, 0.5, a?
0.5
Let m be (-3)/7*658/(-188). What is the nearest to -5 in 7, m, 4/3?
4/3
Let r = 0.1012 + -0.0012. What is the closest to 5 in 3/7, 0.01, r, -2?
3/7
Let o = 157.311 + -0.311. Let y = o - 156.8. Which is the closest to 2/5? (a) 0 (b) y (c) 2/3
b
Let o = 77.4 - 77. Which is the closest to -1/4? (a) -2/11 (b) 8 (c) o
a
Let o = 68 + -71. Which is the nearest to 2/17? (a) 5 (b) o (c) -2/3
c
Let q be 2/9*9/(-6). Suppose -d + 3*d = 6. Suppose 1 - 3 = -2*g. What is the closest to -3 in q, d, g?
q
Let k = -0.88 + 0.78. Which is the nearest to k? (a) -1 (b) 3/5 (c) 0.7
b
Let i = 0.134 + -23.934. Let h = i + 24. What is the closest to 0 in -3, h, -1?
h
Let y = -26097263/210 + 124273. Let n = -1/30 + y. Which is the nearest to n? (a) 5/4 (b) -2/17 (c) 1
b
Let i = -4.3 + 2.3. Let l = -0.1 + -1.1. Let u = 1.3 + l. Which is the nearest to 2/5? (a) u (b) i (c) -4
a
Suppose 12 = 5*a - 38. Let k be (-1)/4 - (a/(-8))/(-5). What is the nearest to -3 in 0.5, k, -0.4?
k
Suppose k - 4*m - 23 = 0, -5*m + 14 = -5*k + 54. Let t be (40/13 - 3)*-2. What is the closest to k in -0.2, t, -2?
t
Let y = 2.7 + 4.3. Let l = 9.7 - y. Let s = -3.1 + l. What is the nearest to s in -3, 0, 5?
0
Let v = 2 + -7. Suppose -10 - 5 = 5*n. Let m = n - -2. What is the closest to m in -1, v, 2/7?
-1
Let n = -10329/245 + 211/5. What is the closest to 0 in n, -1, -5, 5/2?
n
Let r be (234/432)/((-3)/12) + 2. Which is the closest to -0.2? (a) 8 (b) r (c) -2/13 (d) -1
b
Let k = 0.019 + -1.019. Which is the nearest to k? (a) -1/2 (b) 6/25 (c) -3 (d) -1/4
a
Let i(p) = -2*p**2 + 4*p - 4. Let h be i(3). Let z be (-96)/15 + (-4)/h. Let o = 24 - 19. Which is the closest to -1? (a) z (b) o (c) 0.4
c
Let v be 2/(-9) + (-22)/(-18). Let n = -710 - -710.2. What is the nearest to -0.1 in n, v, -4/3?
n
Let q = 1933 + -1934. What is the nearest to -5/13 in -4, 0.4, q?
q
Let n be (4/70)/(4*8/(-160)). What is the nearest to 4 in -1, 12, n, 1/2?
1/2
Let u = -496/9 - -55. What is the closest to 24 in u, 1/3, 3?
3
Let c(s) = s. Let w be c(4). Suppose -f - 9 = -w. Let i be (-4)/f*25/90. What is the closest to 0 in -0.2, -0.4, i?
-0.2
Let c = -416/615 - -2/205. Let b = 0.1 - 0. Let z = -2 + 6. What is the nearest to b in c, 1/2, z?
1/2
Let x be (-10)/(3/(-2)*11/(-66)). Let z = x + 39. Let j = -28 - -198/7. Which is the nearest to j? (a) z (b) -2/7 (c) -2/5
b
Let b be (-5)/(-40)*(-4 - -2). Suppose 0 = 8*h + 63 - 31. What is the closest to b in 0, 0.4, h?
0
Let x = -1.865 + -0.135. Let i = 26 - 25. What is the nearest to i in x, -0.4, 0.4?
0.4
Let n = -8.711 + 8.611. Suppose 2*o - 17 = 3*g, 0 = -0*g - 3*g - 15. Which is the closest to -0.21? (a) n (b) o (c) 0.1
a
Let c(v) = -v**3 - 7*v**2 - 2*v - 12. Let l be c(-7). What is the nearest to 0.2 in -0.06, l, 0?
0
Let k be 963/(-36) - (-2)/4. Let f = k - -26. Which is the nearest to -1? (a) f (b) 0.4 (c) 0.2
a
Suppose -3*a = 2*f - 1 - 9, -a - 6 = -4*f. Let g(w) = w**2 + 0*w**2 - a*w + 1 + 4*w - 2. Let v be g(-3). What is the nearest to v in 1/5, -1/9, -0.1?
1/5
Let w = 0 + 0.4. Let x = -239 + 240. Which is the closest to x? (a) 3 (b) -5 (c) w
c
Let r = -3.5 + 3.6. Which is the nearest to -1? (a) -2/3 (b) r (c) -4
a
Let a = 424/1155 - 18/77. Let z = 26 + -23. Let v = 0.01 - -1.99. What is the nearest to a in -1/4, v, z?
-1/4
Let j = 27/52 - -3/13. Suppose 2*r - 7*r = 5. Which is the closest to r? (a) -2/79 (b) 5/6 (c) j
a
Let q(y) = y**3 + 10*y**2 - 9*y + 22. Let p be q(-11). Which is the nearest to -2? (a) -2 (b) 2 (c) p
a
Let y be 10/(-18) + 4/18. Let d(i) = -2*i**2 - i + 1. Let q be d(1). Let t be 1*((-30)/(-16) + q). What is the closest to -0.1 in y, 0.3, t?
t
Let c = 81.09 | {
"pile_set_name": "DM Mathematics"
} |
p. Solve 0 = c*l - 10*l + 12 for l.
2
Let h be (5/(-5))/(1/(-14)*2). Solve -h*j + 2*j + 5 = 0 for j.
1
Suppose -3*v + 0*n - 2*n = -252, -4*n = 2*v - 176. Solve 74 = 2*b + v for b.
-4
Let x be 48/(-6) - 396/(-9). Solve 9*c + 0*c + x = 0 for c.
-4
Suppose 3 = -4*l + 11. Suppose 1 = -2*v - 3*q + 15, 4*q = 4*v + 12. Solve -l*i - v = -7 for i.
3
Let u = -14 - -21. Let t(c) = -c**2 + 4*c + 15. Let v be t(u). Let d be ((-24)/v)/((-4)/(-6)). Solve 0 = d*j - j - 5 for j.
1
Let n be -25*(0 - 12/30). Solve 8*h + n + 22 = 0 for h.
-4
Suppose 7*u - 172 = -123. Solve 5*z = u*z + 2 for z.
-1
Suppose 2*q + 26 = 4*s, -9*s + 5*s - 3*q + 51 = 0. Solve 0 = 6*y - 9 - s for y.
3
Let j(p) be the second derivative of p**4/12 + p**3/3 + p**2 - 7*p. Let h be j(-2). Suppose -h*i = 3*i - 35. Solve -27 + i = 4*k for k.
-5
Suppose 0 = -2*o + w + 1, -2*o + 2*w - 70 = -68. Solve o*m = 5*m for m.
0
Let n(r) = 4*r**2. Let t be n(-1). Solve 25 = -t*h - h for h.
-5
Let y be ((1 - -2) + 12)*2/6. Solve 7*s + y = 2*s for s.
-1
Suppose 17 = 4*y + 5*q, 3*y + q - 5 = 5. Suppose 3*c = 2*c + y. Let v(a) = -a**2 + 2*a - 1. Let x be v(1). Solve c*r - 3 + 15 = x for r.
-4
Let o be ((-5)/(-5))/(1/5). Suppose -55 = -o*v + 45. Let l = 12 + -8. Solve 0*b + v = -l*b for b.
-5
Let r be (-2706)/(-165) - 2/5. Suppose -r*q + 23*q = 21. Solve q*x + 0 = 6 for x.
2
Let k be ((-4)/8 - 0)*10. Let w(b) = b**2 + 5*b + 2. Let h be w(k). Solve -6*q + 20 = -h*q for q.
5
Let w = -1 - -3. Suppose -25 = -3*q + 20. Let a be 0*(2 - q/6). Solve -w*f + a*f = -8 for f.
4
Suppose -2*b - 27 = 5*w - 2, b - 10 = 2*w. Solve b + 9 = 3*z for z.
3
Let s(d) be the second derivative of 7*d**4/12 - d**3/6 - 3*d. Let c be s(1). Let i = 11 - c. Solve -5*k - 5 = i for k.
-2
Let w(x) = -x**2 + 5*x + 2. Let c be w(4). Solve -6 - c = 4*z for z.
-3
Let c = -17 - -21. Let h be (c/(-12))/(1/(-9)). Solve -2*k = h*k - 15 for k.
3
Let d be ((-8)/6)/((-8)/18). Solve 1 = -u - d for u.
-4
Let w(f) = f - 6. Let z be w(3). Let n(k) = 6*k - 5 - 9*k - 3 + 3. Let m be n(z). Solve m = -3*y - 5 for y.
-3
Suppose 11*f = -5*f + 80. Solve f*u + 2*u = 2*u for u.
0
Suppose -17 = -m - 2*t - 0*t, 3*t + 48 = 2*m. Solve 0 = 4*d - m + 9 for d.
3
Let w(c) = 2*c**2 - 54*c + 147. Let t be w(24). Solve t*f - 24 = -9 for f.
5
Let t(j) = 4*j - 57. Let y be t(11). Let g = y - -23. Solve 0 = g*d - 7*d + 9 for d.
-3
Let l = -118 + 125. Let s be 10/(-45) + (-20)/(-9). Solve -s*g - 1 + l = 0 for g.
3
Suppose 12*f = 7*f + 30. Suppose 4*x + f = 66. Solve 2*w + w = -x for w.
-5
Suppose 5*r - 4022 = -4007. Solve -r*i = 41 - 38 for i.
-1
Suppose 3*i - 4*p + 20 = 0, 4 = 4*i + 2*p - 6. Suppose 21*q - 24 = 25*q. Let h be (5 + q)/(2/(-8)). Solve o + h = -i*o for o.
-4
Let t(l) = l**3 + 13*l**2 - 13*l + 17. Let a = -26 + 12. Let n be t(a). Solve -20 = 2*b + n*b for b.
-4
Suppose 4*a - 72 = 4*n, -2*a - 3*n = -0*n - 51. Let q be (7/(a/9))/(2/2). Solve -w = 4 - q for w.
-1
Let b(f) = -f**3 + 6*f**2 - 5*f + 3. Let i be b(5). Suppose -q = -i*q + 22. Let w = 0 - 0. Solve w = 5*u - 9 - q for u.
4
Let j be (-4)/10 - (-12)/30. Let c be 0/(-2) - j/8. Solve -3*t + 6 = -c*t for t.
2
Suppose -s + 14 = -46*n + 47*n, 4*s - 66 = -5*n. Solve o = -n + 10 for o.
0
Suppose 15 = v + 4*v. Let q be 2/(-3) + 11/v. Solve 2*x - 5 = -q*x for x.
1
Suppose -t - 35*t + 180 = 0. Solve 0 = -t*j - 26 + 11 for j.
-3
Suppose 2*l + 10*x = 7*x + 5, 0 = l + 3*x - 1. Solve -11 + 3 = -l*g for g.
2
Suppose -22 = -5*h - 3*r, -h - 3*r = -7 - 7. Suppose 4*s + 2*c = 24, 4*c + 55 - 15 = 3*s. Solve 2*n + s = -h for n.
-5
Let j be (-21 - -19)*(-8)/2. Solve 5*o - j = 13*o for o.
-1
Let r be (-3)/(2 - (-7)/(-2)). Let q(v) = 7 - r*v + 2*v + v - 1. Let l be q(5). Solve -2 = 3*h - l for h.
3
Let z be 150/39 - ((-205)/65 - -3). Solve -17*j = -19*j + z for j.
2
Suppose -4*m = -3*m - 5*i - 23, -5*m + 4*i = -94. Let t = -20 + m. Let w be (2 + -2)/(0 + t). Solve 0 = -w*u - u for u.
0
Let n = 61 - 59. Solve -b - 3 = n for b.
-5
Let a(q) = -q**3 + 8*q**2 - 4*q - 9. Let f be a(7). Let i = -16 + f. Let v be (i/(-14))/(14/196). Solve -v*p - 10 = p for p.
-2
Let j = -17 - -20. Let i be (0/j - -6) + -2. Suppose i*a - a - 12 = 0. Solve 0 = -2*c + a*c - 8 for c.
4
Suppose -4*v - 200 = v. Let j = -798 - -797. Let p be j/(2/(v/4)). Solve 0*y = -y - p for y.
-5
Let r be (-122)/4 + (-15)/10. Let h be (-3)/4 + (-536)/r. Let n be (h/(-20))/(2/(-5)). Solve -1 = -n*b + 9 for b.
5
Let a be 28 + (-4 + 1)/(-7 + 8). Solve 6*p = p + a for p.
5
Let j = -333 + 177. Let y = 160 + j. Solve -y*p + 1 = -3*p for p.
1
Suppose 0 = -6*c + c. Suppose 2*m = 3*u - 6*u + 15, 0 = -2*u - 6. Suppose 4*i + 4*f = 32, 0 = 4*i + 2*f - 3*f - m. Solve -k + 2 - i = c for k.
-2
Let y(r) = r**2 + 12*r - 30. Let a be y(-15). Solve -n - a = 4*n for n.
-3
Suppose 16 = 2*i - 22. Suppose -5*j + 1 = 2*v - i, 3*j - 12 = 5*v. Solve 3*d = j*d - 2 for d.
2
Let x(j) = -j - 4. Let u(m) = m**3 + 6*m**2 - m - 10. Let b be u(-6). Let n be x(b). Solve 2*s - 6 = -n for s.
3
Let d = 78 - 78. Let f(z) = z**2 - 6*z + 10. Let g be f(5). Solve d = -3*h - 7 - g for h.
-4
Let n(w) = w**3 - 9*w**2 + 9*w - 2. Let k be n(8). Suppose 4*i - 2*h + 6 = 0, -i + k*h + 9 = 2*h. Let v = i + 5. Solve 3 = -5*f + v*f for f.
-1
Let z(y) = -y**3 - 9*y**2 - 9*y - 5. Let t be z(-8). Suppose 0 = 2*c + t - 3. Solve -1 = -c*d - d for d.
1
Suppose 3*u - 4*t - 53 = -0*t, 3*u - 85 = -4*t. Let n = u - 22. Solve -2 = -a + n for a.
3
Let d(l) = -l**3 + 3*l**2 + 4*l - 2. Let q be d(3). Suppose 0 = 3*p - 4*f, 0*p - 2*f - q = -4*p. Solve -r - p + 7 = 0 for r.
3
Let p be -1*(0 + -101 + 0). Let l = p + -101. Solve l = -4*x - x for x.
0
Let b(r) = -5*r + 54. Let m be b(10). Solve m*g + 3 = -9 for g.
-3
Let l(r) = -r**3 + 6*r**2 + 9*r - 15. Let k be l(7). Let j be 0 - -2 - (1 - k). Let h be (12/(-6))/(-1 - j). Solve -s = -h - 0 for s.
2
Suppose 25*q - 122 = 178. Solve 4*i - 8 = q*i for i.
-1
Let v(s) = -s**3 + 17*s**2 - 2*s + 22. Let t be v(17). Let z = t - -12. Solve -l - 3*l - 20 = z for l.
-5
Suppose 13 = d - 3*c, 0*d - 10 = 2*d + 3*c. Solve -3 = g + d for g.
-4
Let g(n) = -n**2 + 10*n - 11. Let w(b) = 3*b - 1. Let y be (-12)/8 - 9/(-2). Let u be w(y). Let c be g(u). Solve c*r = 2*r + 12 for r.
4
Let d(z) = z**2 - 23*z + 45. Let a be d(21). Let b be (3 + -4)*2 + 8. Solve a*y + b = y for y.
-3
Suppose z = 5 + 1. Suppose 24 + z = 3*m. Suppose c = -4*c + m. Solve 0 = 2*n - 2 - c for n.
2
Suppose -84 = -3*h + 3*s, 7*h - s - 124 = 2*h. Suppose -6 = 5*v - 1, 5*d - 19 = -v. Suppose 0 = -4*g + 16 + d. Solve g*x = 1 + h for x.
5
Let l(v) = v**3 - 6*v + 5. Let s be l(0). Solve 0 = -t + 6*t - s for t.
1
Let x = -43 - -33. Let j be 1/x*-5*(-1 - -3). Solve -2*w - 7 - j = 0 for w.
-4
Let n be 91/42 - (-2)/(-12). Suppose 0 = -z + n - 0. Suppose 25 = 5*w - z*w + 4*v, 5*w + 5 = 5*v. Solve w*c + 1 + 2 = 0 for c.
-1
Let z = -422 - -429. Solve 7*l + z = -0 for l.
-1
Let b(r) = -r**3 + 3*r**2 + r - 1. Let o be b(3). Let j be (-1)/(o/(-6))*(2 + -1). Solve 2*p + j*p = -15 for p.
-3
Suppose -10 + 1 = -3*f. Suppose 2*k = -5*x - f + 22, k = -2*x + 7. Solve x*v - 2*v = 0 for v.
0
Suppose -281*l - 10 = -286*l. Let u be 0 + 0 + -3 + 2. Let i be u*3*6/(-6). Solve -i + l = o for o.
-1
Let g be 8*(-3 - (-2 + -3)). Let p = -16 + g. Suppose p*n = n. Solve n = 2*x + 8 - 0 for x.
-4
Let w = 20 - 16. Let u = 70 + -50. Solve -z = w*z - u for z.
4
Let k be 0 + 4 + (10 - 5) + 5. Solve 5*v = -k - 1 for v.
-3
Let v = -1 + 29. Suppose -h - h = -v. Suppose 2*b - 3*b - 2*g = -h, 0 = 4*b + 2*g - 74. Solve 2*x + 2*x = b for x.
5
Let y be 16/(-3)*15/(-10). Suppose -3*f = -x - y, x + 9 = 5*f - 5. Solve 0*r - 15 = -f*r for r.
5
Let v(t) = -t**3 + 2*t**2 - 5*t + 12. Let g be v(0). Solve -g*n = -11*n + 2 for n.
-2
Suppose 2*f - 8 = -15*k + 13*k, -3*f - 20 = -5*k. Solve k*w + 5*w = 4*w for w.
0
Let o = -590 - -610. Solve -o = -6*s - 2 for s.
3
Let h be 1*-1*(-22 - (-16 - -9)). Solve -7*p + h = -10*p for p.
-5
Suppose -4*z = f - 15, -67 = -5*f + 3*z - 15. Let k = f - 7. Let r = -1 + k. Solve 5*v + 23 - r = 0 for v.
-4
Let k(g) = -90*g - 66. Let r be k(-1). Solve -26 = -l - r for l.
2
Let s be (-6)/(-26 + 31 + (-7 - 0)). Solve s*n - 70 = -55 for n.
5
Let z = -93 - -75. Let p(d) = -d**2 - 21*d - 39. Let v be p(z). Solve -4*x - v = x for x.
-3
Let o(r) = 11*r**3 - 2*r - 1. Let m be o(-1 | {
"pile_set_name": "DM Mathematics"
} |
-k + 0*k + 3 = 0. Let j(b) = -2 + 6*b + 2 - k - b**2. Give j(o).
2
Suppose -f = -x - 16, 5*f - 4*x = 12 + 65. Let z(v) = -v + 2. Give z(f).
-11
Let k(y) = 10 + 11 + 6*y - 24 - 4*y. Calculate k(7).
11
Let d = 7 + -2. Suppose -d*g - 8 = -3. Let o(h) = -9*h**2 - 7*h - 1. Let a(n) = -10*n**2 - 8*n - 1. Let y(f) = 6*a(f) - 7*o(f). What is y(g)?
3
Let z be (16/(-7) - -2) + (-338)/91. Let f(d) = d**3 + 4*d**2 - d - 1. Give f(z).
3
Suppose 1103 + 553 = 128*t + 56*t. Let u(g) = 4*g**2 - 6*g + 3. Let p(d) = 7*d**2 - 13*d + 5. Let a(o) = -3*p(o) + 5*u(o). Give a(t).
0
Suppose -14*k + 16*k + 4*q - 24 = 0, 0 = -5*k + 4*q + 4. Let z(y) = 4*y**2 - 2*y + 3. Determine z(k).
59
Let t(z) = z**2 + 4*z - 495. Let o be t(-24). Let c(l) = -l**3 - 16*l**2 - 13*l + 6. Give c(o).
-24
Let x(k) = -k**2 + k - 11. Suppose -4*f = -5*i, 7*i = 11*i - 5*f. Determine x(i).
-11
Let p = 104 - 102. Let y(t) = -t - 3. What is y(p)?
-5
Let k(i) be the third derivative of i**5/60 - i**4/24 - 38*i**2 + 2*i. Give k(4).
12
Let s be -4*(4/(-6))/((-20)/(-15)). Let j be (-25 + 20)*2/5*s. Let r(v) = 2*v**3 - 3*v**3 + 7*v - 3*v**2 - 2*v - 3. Determine r(j).
-7
Let n(m) = -m**2 - 5. Let g(w) = w**2 - 14*w + 13. Suppose -12 = 8*q - 12*q. Let l be 11 - q*8/(-12). Let f be g(l). Calculate n(f).
-5
Let c(q) = -2*q - 7. Let s(k) = 9*k + 38. Let f(p) = 6*c(p) + s(p). Suppose -2*o + 7*o + 10 = 0. Let l = o - 1. Calculate f(l).
5
Let j(m) = -3*m - 4. Suppose -57 = 38*t - 19*t. Calculate j(t).
5
Let f(b) = -2*b + 4. Suppose -3*j - 3*a - 9 = -2*a, 0 = -3*j - 4*a. Calculate f(j).
12
Suppose 32 + 1 = -3*w. Let i = w + 11. Let c(y) = -y**2 + y - 6. Give c(i).
-6
Let h(k) be the second derivative of -k**5/20 - k**4/3 + k**3 + 3*k**2 - 68*k. Determine h(-5).
1
Let x(q) = q**2 - 8*q - 4. Let r be 10 - (0 - -1 - (-9 - -7)). Give x(r).
-11
Let x be (-11)/(-3) - 12/18. Suppose 4*c + o - 23 = 0, 1 = -c + 3*o + 10. Suppose 12 = -c*j + x*j. Let u(k) = k**3 + 2*k**2 - 7*k - 5. Calculate u(j).
-9
Let p(r) = -2*r + 2. Let b be (2/(-5))/((-4)/40). Let l = b + 1. Suppose -l*c + 10 = -10. Determine p(c).
-6
Suppose -5 = -k - l, 0 - 9 = -3*k - l. Suppose -5*g + k*w - 5 = -3*w, 0 = 3*g + 5*w - 37. Let o(i) = 449 - g*i**2 + i**3 - 449 + 2*i. What is o(2)?
-4
Let q = -20 - -19. Let r = q - -5. Let n(o) = 14 + 3*o - 2*o + 1 - r. Give n(-5).
6
Let o(d) = -d**3 - 6*d**2 + 16*d + 4. Let l be o(-8). Let s(a) = -2*a**2 + a**3 + 3*a - 4 - 2*a**2 + 0. Calculate s(l).
8
Suppose -15*p + 29*p = 10*p. Let h(n) be the third derivative of 1/2*n**3 + p - n**2 - 1/24*n**4 + 0*n. Give h(3).
0
Let l(i) = -4 + 4 + 0*i + i**3 - 2*i - 3 - 2*i**2. Suppose -3*t + 2*r = 6*r - 10, -2*r - 4 = -3*t. Suppose 2*d - 12 = -t*d. What is l(d)?
0
Let v be 12/14 - (-54)/(-420)*-5. Let k(g) be the second derivative of 1/20*g**5 + 0*g**3 + 0 - v*g**2 - 10*g + 1/12*g**4. Give k(0).
-3
Let h(y) = -2*y - 1. Let z = -2 + -2. Let j be ((-6)/2)/(6/z). Determine h(j).
-5
Let o(l) = l**3 + 5*l**2 - l + 2. Let z be o(-5). Let i(v) = -4 - 10*v + 16 + 9*v. Determine i(z).
5
Let m be 2/4 + 45/(-6). Let h(r) = -5*r**2 + 5*r + 7. Let u(d) = 2*d**2 - 6*d - 2. Let t(s) = h(s) + 2*u(s). What is t(m)?
3
Let f(q) = -4*q + 7. Let u = -185 - -188. Calculate f(u).
-5
Let d(m) be the third derivative of -m**4/3 + m**3/6 + 8*m**2 + 4*m. Calculate d(5).
-39
Let u(t) = t**2 + 2*t - 12. Let v = -390 - -385. Give u(v).
3
Let j(p) = -5 + 0*p - p - 3*p + p. Calculate j(-6).
13
Let o(f) = 9*f - 10. Let n(i) = 14*i - 15. Let c(j) = -3*j + 22. Let d be c(9). Let x(v) = d*n(v) + 8*o(v). Give x(-4).
-13
Let m(y) = 2 - 5*y + y + 6*y. Give m(2).
6
Suppose -p - s = 7, -17*p - 28 = -13*p + 5*s. Let n(y) = y**2 + 12*y - 6. What is n(p)?
-41
Let a be (2/(-1))/(25 - 23). Let v(o) = 16*o**3 - 2*o - 3. Calculate v(a).
-17
Let o(j) = j**3 + 5*j**2 + 4*j - 6. Let p(u) = u**3 + 13*u**2 + 28*u + 188. Let x be p(-12). Determine o(x).
-6
Let p be 8/4*(-25)/(-10). Let d(x) = 7*x**3 + x**2 - 8*x - 2. Let a(v) = 6*v**3 - 7*v - 1. Let i(n) = p*d(n) - 6*a(n). Determine i(5).
6
Let x(w) be the first derivative of w**2/2 + 31*w + 795. Give x(13).
44
Let y(a) be the first derivative of -a**3/2 - 3*a**2 - 5*a + 1. Let m(w) be the first derivative of y(w). Determine m(-4).
6
Let y(k) be the second derivative of -1/2*k**2 + 0 + 2*k - 7/6*k**3. Calculate y(-1).
6
Let t(o) be the second derivative of 4/3*o**3 + 4*o + 0 - 1/12*o**4 - 3/2*o**2. Let r(a) = -a**3 - 6*a**2 - 6*a + 13. Let n be r(-4). What is t(n)?
12
Let u(i) = 5*i - 5. Let b = -4 - -13. Let f(q) = -4 + 2*q + 3 - q. Let z(x) = b*f(x) - 2*u(x). Determine z(6).
-5
Let x(v) = 2*v + 1. Let d be 7 - -2 - 6/2. Suppose 0 = -0*y - d*y + 78. Suppose 0 = 3*r + c - 8, -r - 2*r + 4*c = -y. What is x(r)?
7
Let r(o) = o**3 - 9*o**2 + 6*o + 8. Let d be ((-10)/(-6))/(5 - 264/54). Suppose 12*n + 24 = d*n. Determine r(n).
-8
Let l(v) = 4*v**2 - 5*v + 5. Let i(x) = x**2. Let d(r) = 3*i(r) - l(r). Calculate d(4).
-1
Let v(k) = -15*k + 8. Let y = -568 - -566. What is v(y)?
38
Let g(o) be the second derivative of o**5/20 + 5*o**4/12 - 13*o**3/6 + 17*o**2/2 + 4*o + 29. Calculate g(-7).
10
Let t(x) be the third derivative of 0*x + 1/24*x**4 - 2*x**3 + 0 + 50*x**2. Calculate t(13).
1
Let t(f) be the third derivative of 0 + 1/30*f**5 + 15*f**2 + 0*f + 1/120*f**6 + 1/12*f**4 + 1/6*f**3. What is t(-1)?
0
Suppose 3*n = 6*a + 6, -3*a + 2*a = -n + 3. Let y(k) be the first derivative of k**4/4 - 4*k**3/3 + 4*k + 1. Give y(n).
4
Let y(h) be the first derivative of -h**2 + 106. Suppose -2*q = q + 9. Determine y(q).
6
Let u(x) be the first derivative of x**2/2 + 10*x - 449. Determine u(-5).
5
Let b(p) = 15*p**3 - 14*p**2 + 3*p + 9. Let c(l) = 7*l**3 - 7*l**2 + l + 4. Let x(s) = 6*b(s) - 13*c(s). Suppose -6*f + 139 = 91. What is x(f)?
-22
Let k(s) be the second derivative of s**4/12 + s**3 - s**2/2 + 2*s + 27. Give k(-5).
-6
Suppose 6*n = 19*n - 52. Let b(k) = 2*k**2 - 5*k + 3. Give b(n).
15
Suppose 0 = -u - 3*z - 9, -43*u + 4*z + 12 = -38*u. Suppose -3 + 0 = -t. Let o(g) = -2*g + 0*g - g**2 + t*g + 5. What is o(u)?
5
Let h(j) = -5*j**3 - j**2 - 5. Let d(w) = -9*w**3 - 2*w**2 - 9. Let g(y) = 6*d(y) - 11*h(y). Determine g(2).
5
Let n(i) = -3*i - 7. Suppose 2*l - 11 = 5*c, -6*c + 2*c = 4. What is n(l)?
-16
Let s(y) = y + 6. Let o = -40 + 39. Let q be o/(-4) + (-2)/8. Give s(q).
6
Let h be -3 + (12 - 1) - -1. Suppose 15 = 3*t - h. Let g(f) = -t*f + 10*f - 5*f + 1 - 4*f. Determine g(2).
-13
Let f(d) = -5*d + 7*d - 3 - 3 + 11. Give f(-4).
-3
Let l(q) = 5*q - 3*q**3 - 41 - 3*q + 42 + q**3. What is l(-1)?
1
Let m(r) = 1 - 51*r - 51*r + 154*r - 56*r. Let z(v) = -4*v**2 - v - 1. Let j be z(-1). What is m(j)?
17
Let a(d) be the third derivative of d**4/24 - 5*d**3/6 + 95*d**2. What is a(6)?
1
Let t(j) = -5*j - 18. Let p(n) = 4*n + 16. Let h(s) = -6*p(s) - 5*t(s). Calculate h(4).
-2
Suppose 2 = y + 6. Let k(z) be the first derivative of -4/3*z**3 - 1/4*z**4 + 13 - 1/2*z**2 + 4*z. Give k(y).
8
Let z(n) be the second derivative of -1/20*n**5 + 0*n**2 + 0*n**3 + 0*n**4 + 2*n + 0. Let o be (6/12)/(-1 + (-3)/(-4)). Give z(o).
8
Let m(d) = d**2 - 20*d + 106. Let i be m(10). Let p(x) = x + 1 + 0 - 7. What is p(i)?
0
Let x(n) = n**3 - 2*n**2 + 3*n**2 + 3*n**2. Let s(u) = -u**3 - u**2 + 25*u + 53. Let g be s(-3). Give x(g).
0
Suppose -11 = 3*y + 5*j - 4*j, 4*y + 17 = j. Let v(b) = b - 3. What is v(y)?
-7
Let l(z) be the third derivative of z**6/120 - 7*z**5/60 + z**4/4 + 3*z**3/2 - 452*z**2. Give l(5).
-11
Let o(z) = z**2 - 3*z + 4. Let f(l) be the third derivative of -5*l**4/24 - 2*l**3/3 - 3*l**2. Let u be f(-2). What is o(u)?
22
Suppose -2 = 3*u - 4*u. Suppose -2*s = 4*o - u, -2*o + 3*s + 3 = -5*o. Let l(v) = 0*v**3 - v**3 + 3 - 1 + v**2. What is l(o)?
-2
Let g(r) = 81 - 78 + 22*r - 23*r. What is g(8)?
-5
Let q be -3 + (-3)/9*-15. Suppose q*g + 2*g - 24 = 0. Suppose v + 5 = g*v. Let l(f) = 10*f**3 - 2*f**2 + 2*f - 1. Give l(v).
9
Let h(a) = 2*a**3 + a**2 - a + 4. Let m = -2189 - -2187. Calculate h(m).
-6
Let r(j) = -107*j - 328. Let l be r(-3). Let f(m) = -2*m**3 - 13*m**2 + 5*m - 24. Calculate f(l).
-10
Let d(o) be the first derivative of -15 - 26*o + 27*o + 2 - 2*o**2. Let a(j) = 2*j**2 + j - 1. Let k be a(1). Give d(k).
-7
Let q(i) = -3*i - 9. Let h(a) = 6*a + 17. Let n(s) = -3*h(s) - 5*q(s). Give n(7). | {
"pile_set_name": "DM Mathematics"
} |
t h(x) = -2*x**2 - 2*x + 1. Let r(f) = -d(f) - 3*h(f). Solve r(t) = 0 for t.
-878
Let t be (191*2/24)/(95/950). Let o = t - 317/2. Factor -8/3*c - o*c**2 + 10/3.
-2*(c - 1)*(c + 5)/3
What is b in -42*b**2 + 8 + b**4 + 11*b - 11*b + 11*b**3 + 4*b + 48 = 0?
-14, -1, 2
Let j(q) be the first derivative of 4*q**3/9 + 152*q**2/3 + 5740*q/3 - 5459. Factor j(x).
4*(x + 35)*(x + 41)/3
Suppose 19*g**3 + 4337*g**4 + 31*g**3 + 242*g**5 - 4117*g**4 = 0. What is g?
-5/11, 0
Let g(j) be the first derivative of 1/5*j**3 + 12/5*j**2 + 148 + 21/5*j. Suppose g(f) = 0. Calculate f.
-7, -1
Let p = -110/23 - -949/184. Let u(t) be the third derivative of p*t**3 + 1/320*t**6 + 0*t - 15*t**2 - 5/64*t**4 + 0 - 1/80*t**5. Suppose u(f) = 0. What is f?
-2, 1, 3
Let o(b) be the third derivative of b**6/600 + b**5/5 + 27*b**4/10 - b**2 + 1128*b - 2. Determine c so that o(c) = 0.
-54, -6, 0
Factor 1/7*b**2 + 6/7*b + 8/7.
(b + 2)*(b + 4)/7
Suppose r + 2 = -5*p - 11, -5*p - 11 = 2*r. Let q(h) = -4*h**3 - 2*h**2 - 9*h + 2. Let k be q(p). What is l in l**2 - 96*l - 37 - 5*l**2 - 658 + k = 0?
-12
Let 1/2*a**4 - 3/2*a**2 + 3/2*a**3 - 3 - 11/2*a = 0. What is a?
-3, -1, 2
Solve 1978/3*d + 2*d**2 - 220 = 0 for d.
-330, 1/3
Solve -2/3*z**5 + 0 + 44/3*z + 2*z**3 - 22/3*z**4 + 70/3*z**2 = 0 for z.
-11, -1, 0, 2
Let p(m) = -15*m**4 + 6*m**4 + 2*m**2 + m**4 + 9*m**4 + 1. Let o(g) = 2*g**5 + 9*g**4 + 4*g**3 - 6*g**2 - 6*g + 1. Let c(j) = o(j) - p(j). Factor c(z).
2*z*(z - 1)*(z + 1)**2*(z + 3)
Let x(c) be the third derivative of -c**6/30 + 83*c**5/60 - 131*c**4/24 - 19*c**3/3 + 254*c**2. Factor x(z).
-(z - 19)*(z - 2)*(4*z + 1)
Let w(m) be the second derivative of 0*m**2 + 2/3*m**3 + 3*m - 14 - 1/3*m**4. Let w(x) = 0. Calculate x.
0, 1
Suppose 591*w**2 + 777*w**2 - 128*w**2 + 805*w**2 + 335*w**4 - 619*w - 180 - 1615*w**3 + 34*w = 0. Calculate w.
-12/67, 1, 3
Determine v so that 84/5*v**3 - 2*v**4 - 182/5*v**2 - 1/5*v**5 - 48/5 + 157/5*v = 0.
-16, 1, 3
Let z = 442 + -437. Suppose -3 = -3*a + 3*d + 6, 12 = z*a - 4*d. Factor a*p - 2/9*p**5 - 2/9*p**4 + 0 + 2/9*p**3 + 2/9*p**2.
-2*p**2*(p - 1)*(p + 1)**2/9
Let g(v) be the third derivative of -v**5/40 - 17*v**4/16 - 35*v**3/2 - 1445*v**2. Let g(t) = 0. Calculate t.
-10, -7
Let t(q) = -q**5 + q**4 + q**3 - 1. Let r(w) = 10*w**5 + 14*w**4 + 22*w**3 + 12*w**2 + 6. Let a(l) = r(l) + 6*t(l). Determine d so that a(d) = 0.
-3, -1, 0
Let p(n) be the first derivative of n**3/9 - 83*n**2 + 20667*n + 224. Find f, given that p(f) = 0.
249
Let d(i) be the second derivative of 1/30*i**6 + 2/3*i**3 - 19 + 2/3*i**4 + 0*i**2 + 3*i + 1/4*i**5. Determine h, given that d(h) = 0.
-2, -1, 0
Let u(a) be the third derivative of -a**7/1575 - a**6/75 + a**5/450 + a**4/15 - a**2 - 969*a. What is g in u(g) = 0?
-12, -1, 0, 1
Factor 6*s**2 + 10*s + 0 + 1/2*s**3.
s*(s + 2)*(s + 10)/2
Let q(j) = -10*j + 28. Let n be q(7). Let b be (-222)/n - 4/14. Suppose 3*m**b - 7*m + 3 + 8*m**3 - 2*m**3 - 2*m + 0*m**3 + 6*m**2 - 9*m**4 = 0. Calculate m.
-1, 1
Factor 107*f**2 - 4*f**2 - 30*f + 69*f**3 + 4*f**4 - 2*f**3.
f*(f + 2)*(f + 15)*(4*f - 1)
Solve 0 - 152/5*y - 148/5*y**2 + 4/5*y**3 = 0 for y.
-1, 0, 38
Determine l, given that -992*l + 64 - 2508*l**2 - 697*l**2 + 7049*l**2 = 0.
4/31
Let f(i) be the first derivative of -i**5/5 + i**4/4 + i**2 - 18. Let a(h) = 2*h**4 + 36*h**3 + 14*h**2 + 12*h. Let z(j) = a(j) - 8*f(j). Factor z(m).
2*m*(m + 1)*(m + 2)*(5*m - 1)
Suppose 4*x - 13 = -3*c, 10 = -5*x - c + 6*c. Let f be 101/4 - ((-3)/4 + x). Solve -9*v**2 + 2*v**2 + 2*v**2 - 23 - 7 - f*v = 0.
-3, -2
Let w = -25229703/4565 + 60814/11. Let r = w + 2/83. Factor 0 + 0*z - 3/5*z**3 + r*z**2.
-3*z**2*(z - 3)/5
Suppose 158 = l - 7. Determine t, given that 2*t**3 - 14*t**2 + 2 - 80*t - 81*t + l*t + 6*t**3 = 0.
-1/4, 1
Suppose -3*k - 3*g = -21, 3 = 8*g - 5*g. Suppose -2*d = -3*u - 3*d + 4, -2*u + d = -k. Let 0 - 10/9*f**3 + u*f**2 + 4/9*f = 0. Calculate f.
-1/5, 0, 2
Let s be (-74700)/(-32370) - 17826/(-117). Factor 4/3*t**2 + 13456/3 + s*t.
4*(t + 58)**2/3
Let a(v) be the third derivative of -1/14*v**5 + 15 + 0*v - 1/210*v**6 + 4/21*v**4 - 4/21*v**3 + 1/147*v**7 - 2*v**2. Let a(r) = 0. Calculate r.
-2, 2/5, 1
Let q(w) be the third derivative of -w**7/210 - 27*w**6/40 - 533*w**5/20 + 1681*w**4/24 + 1640*w**2. Factor q(p).
-p*(p - 1)*(p + 41)**2
Let r(f) be the first derivative of f**8/560 - 3*f**7/140 + f**6/10 - f**5/5 + 5*f**3/3 + 3*f**2/2 + 93. Let x(g) be the third derivative of r(g). Factor x(i).
3*i*(i - 2)**3
Determine t, given that -3869893 + 24178*t**2 + 156*t**3 + 3648052/3*t + 1/3*t**4 = 0.
-157, 3
Let k(i) be the second derivative of -2*i**6/25 + 429*i**5/100 - 276*i**4/5 + 143*i**3/2 + 75*i**2 + 336*i + 1. Determine l, given that k(l) = 0.
-1/4, 1, 10, 25
Let n be (-2)/((-14)/(-6)*20/(-70)). Suppose 33*v**4 + v**3 - 3*v**2 + n*v**5 - 27*v**4 - 4*v**3 - 3*v**2 = 0. What is v?
-2, -1, 0, 1
Let k(o) = -43*o**2 + 416*o - 253. Let r be k(9). Suppose -10*y + r - 1/2*y**3 + 4*y**2 = 0. Calculate y.
2, 4
Suppose -37/3*q**2 - 17*q + 32/3*q**4 + 14/3 + 20*q**3 = 0. Calculate q.
-2, -1, 1/4, 7/8
Let c(u) = 10*u**4 + 22*u**2 - 16*u - 72. Let b(y) = 3*y**4 - y**3 + 2*y. Let o(w) = -4*b(w) + c(w). Factor o(i).
-2*(i - 3)**2*(i + 2)**2
Let o(z) be the second derivative of -z**4/3 + 5*z**3/4 - z - 438. Determine y, given that o(y) = 0.
0, 15/8
Let i(d) be the second derivative of 1/30*d**5 + 8*d**2 + 1/3*d**3 + 0 - 1/6*d**4 - 19*d. Let h(w) be the first derivative of i(w). Factor h(k).
2*(k - 1)**2
Let -949/4*o - 673/4*o**2 - 131/4*o**3 - 102 + 1/4*o**4 = 0. What is o?
-3, -1, 136
Let k(i) be the first derivative of 0*i + 1/30*i**4 - 8/45*i**3 + 1/5*i**2 - 45. Find w, given that k(w) = 0.
0, 1, 3
Determine k, given that 18550/3*k - 43504/9*k**2 + 10060/9*k**3 + 292/9*k**4 - 2500 + 2/9*k**5 = 0.
-75, 1, 2
Let u(t) = -42*t**2 - 1. Let f(h) = 501*h**2 + 1905*h - 1890. Let o(d) = f(d) + 12*u(d). Factor o(z).
-3*(z - 634)*(z - 1)
Let c(d) be the second derivative of 3*d**5/20 - 3*d**4/4 - 11*d**3 + 36*d**2 - 6*d - 232. Solve c(z) = 0 for z.
-4, 1, 6
Let t(h) be the second derivative of 2*h + 1/3*h**3 - 17/36*h**4 - 1/20*h**5 + 0*h**2 + 147. Determine z, given that t(z) = 0.
-6, 0, 1/3
Let p(b) be the second derivative of -3/2*b**5 + 10/3*b**3 - 55*b - 35/12*b**4 + 25/2*b**2 + 0. Factor p(i).
-5*(i + 1)**2*(6*i - 5)
Let s(y) be the first derivative of -2*y**5/15 + 25*y**4 + 202*y**3/3 + 152*y**2/3 - 2862. Determine a, given that s(a) = 0.
-1, 0, 152
Let j(t) be the first derivative of t**4/6 + 64*t**3/9 + 256*t**2/3 - 2938. Solve j(x) = 0.
-16, 0
Let c(y) be the third derivative of 3/20*y**5 - 51*y + 0 + 19/840*y**6 + 2*y**2 + 1/735*y**7 + 9/14*y**3 + 27/56*y**4. Factor c(r).
(r + 3)**3*(2*r + 1)/7
Suppose 4*n = -2*d - 24 + 58, 4*d - 50 = -5*n. Let -n*i - 58*i**2 + 2*i - 16 + 60*i**2 = 0. What is i?
-2, 4
Suppose -15*c + 13*c + 1 - 1 = 0. Let x(a) be the third derivative of -5/4*a**3 + 17*a**2 + c + 1/40*a**5 - 1/4*a**4 + 0*a. Factor x(h).
3*(h - 5)*(h + 1)/2
Let b(q) be the second derivative of -9*q**3 - 1/6*q**4 - q - 22 + 0*q**2. Factor b(o).
-2*o*(o + 27)
Let w(p) be the third derivative of -p**7/280 - p**6/12 - 7*p**5/10 - 3*p**4 - 3*p**3/2 - 45*p**2. Let b(x) be the first derivative of w(x). Factor b(c).
-3*(c + 2)**2*(c + 6)
Let x(l) = -l**3 + 6*l**2 + 4. Let c be x(6). Let w be (16 - 8)*c/16. Factor 0 + 4/7*a**4 - 16/7*a**3 + 16/7*a**w + 0*a.
4*a**2*(a - 2)**2/7
Let t be (-38)/(3/15*-5). Let a = t - 113/3. Let 1/3 + a*s**2 + 2/3*s = 0. Calculate s.
-1
Suppose 6 = 3*k + 9, -4*c - 4*k + 4 = 0. Let 541*g**c + 140*g**5 - 415*g**4 - 50 + 47*g + 49*g**2 + 10 - 25*g**3 - 27*g = 0. Calculate g.
-1, -2/7, 1/4, 2
Let l(u) = -u**3 - 20*u**2 + 186*u - 81. Let x = -1147 + 1120. Let i be l(x). Factor 3/4*m**4 + i*m + 3*m**3 + 0*m**2 + 0.
3*m**3*(m + 4)/4
Let s(d) = 119*d**2 + 153*d + 25. Let q = 67 - 52. Let p(l) = 6 + 30*l**2 - 2*l - 11*l + q*l + 36*l. Let m(x) = -9*p(x) + 2*s(x). Let m(t) = 0. What is t?
-1, -1/8
Let z be ((-32)/(-48))/((-4)/(-18)). Suppose -5*v = -3*v + z*s + 12, v + 4*s = -16. Let 1/2*p**3 + 2*p**2 + v + 0*p = 0. What is p?
-4, 0
Factor 4/3*o**2 + 4/3*o - 1/3*o**3 - 16/3.
-(o - 4)*(o - 2)*(o + 2)/3
Let u be (-4 + 1)*1/(-4). Let v be (124/(48608/(-252)))/((12/(-14))/1). Suppose v*n**5 + | {
"pile_set_name": "DM Mathematics"
} |
prime number?
False
Let k(j) = 3*j + 6. Let n be k(8). Suppose 0 = 3*u - u - 10, i + 5*u - n = 0. Suppose q + 196 = 5*q - i*c, -3*q = -5*c - 147. Is q a prime number?
False
Let t be -1*(-2 + (-2 - -2)). Let k be -25*(t - (-2 + 5)). Let r = k - 15. Is r prime?
False
Let n be 5*-58 + 0 + -2. Is n/(-20) - (-4)/10 a composite number?
True
Let p be (74 + (-6)/(-2))/1. Let x = p + -40. Is x prime?
True
Let q(t) = -t + 51. Let i be q(0). Suppose 0*c - 3*c - 5*z + 82 = 0, 4*c - 5*z - i = 0. Is c composite?
False
Suppose -2*f - 11332 = -6*f - t, -8499 = -3*f - 3*t. Is f a composite number?
False
Suppose k + k + 3*n - 14 = 0, 5*n - 45 = -5*k. Suppose 0 = -0*b - b + k. Is b a composite number?
False
Let n be 1/(-1) - (-194)/2. Let i(l) = l + 2. Let y be i(2). Suppose -y*t - 20 = -n. Is t prime?
True
Is (130/(-14) - -9) + 11853/7 prime?
True
Let i = 22 - 16. Suppose 240 = i*m - m. Suppose -13 = p - m. Is p a prime number?
False
Let l = -5441 - -7774. Is l composite?
False
Let d(s) = s**3 + 6*s**2. Let k be d(-6). Suppose -z - 4 = -k. Let p(a) = a**2 + 2*a - 1. Is p(z) a prime number?
True
Suppose -4*x = 12, 0*x = -3*l + x + 9. Let i be l - 1 - 58/(-2). Suppose -y - i = -5*w, -2*y = -0*y. Is w composite?
True
Let n be (-2)/(-3)*(7 + -1). Suppose 2*m + n = 3*y, -y + m = -0*y. Suppose -y*x + 49 = -27. Is x a prime number?
True
Let o be (-20)/4*(-54)/10. Suppose 248 = -0*j + 4*j. Let u = o + j. Is u a prime number?
True
Suppose -5*q + 2*p = 31, -p - 10 = 4*p. Let o = q - -258. Is o prime?
True
Let b(f) = -13*f - 34. Is b(-20) prime?
False
Let g(o) = -7*o + 1. Let f be g(-4). Let s = 2 + f. Is s prime?
True
Suppose -6*d = -11*d + 1040. Let n = d + -14. Is n a prime number?
False
Suppose 281 = 5*q - 344. Suppose -15 = 3*a, -2*h + 2*a + q = -63. Is h a prime number?
True
Suppose 3*l + 16 = -y, 2*l - 4*l = -5*y + 5. Suppose 5*g = -k - 617, 365 = 2*g - 5*g + 2*k. Is g/(-4) - l/20 prime?
True
Is ((-2175)/(-9) - 2)*6 prime?
False
Suppose -5*f = -2*p - 25, -6*f + 3*p + 20 = -2*f. Suppose 0*r = f*r - 175. Is r a composite number?
True
Suppose -456 = -4*p + 52. Is p prime?
True
Is (-11)/77 - 7/(49/(-21078)) a prime number?
True
Let z(v) = -59*v**3 + v**2 - 1. Let t = -12 + 11. Is z(t) composite?
False
Suppose -v + 5*h = -33, 0 = -v - 0*h + 2*h + 21. Is v a composite number?
False
Suppose 0 = -6*n - 1834 + 5872. Is n prime?
True
Suppose 2*f = -3*f - 5*i + 85, -3*i = -15. Is f/(-18)*(-465)/2 prime?
False
Is (-8487)/(-3) + 0 + -2 composite?
True
Suppose 0 = 3*g + 3*b - 195, -4*b - 239 = -4*g + 21. Is g a prime number?
False
Let c(j) be the third derivative of j**5/60 - 7*j**4/12 + 2*j**3/3 - 5*j**2. Is c(15) a composite number?
False
Let m(y) = -y**3 + y**2 - y - 1. Let x be m(-1). Suppose 1 = -p - x*p - w, -4*w = 2*p - 6. Is ((-1)/2)/(p/74) a prime number?
True
Let t = 6 + -14. Let j(s) = s**2 + 5*s - 5. Is j(t) composite?
False
Suppose 0 = -4*w + 6574 - 2378. Is w a prime number?
True
Let s = 5 - 5. Let d be -100 + (0 - s)/2. Let h = d + 239. Is h composite?
False
Let g(n) = 386*n**2 + 4*n - 4. Let b be g(2). Is b/8 + 3/6 a composite number?
True
Let n(w) = -3*w + 6. Let k be n(4). Let b be (-550)/k - (-2)/6. Let q = b + -13. Is q a prime number?
True
Let d be (-1283)/(-4) - 7/(-28). Let i = -154 + d. Is i a prime number?
True
Let m = -246 - -359. Is m prime?
True
Suppose 5*c + 5*a = 40, -c = -6*c - a + 44. Let m be -3*1*(-222)/c. Suppose 3*o - m = o. Is o composite?
False
Suppose -20 - 6 = -c. Suppose g - c = 185. Is g composite?
False
Let z be (-23)/3 - 2/6. Let i be 84 + ((-2)/1)/(-2). Let h = z + i. Is h a composite number?
True
Let r = 299 - 174. Suppose 5*k - 10 = 0, -a - 5*k + r = -0*k. Is a a prime number?
False
Let i(p) = p**3 + 4*p**2 - 2*p - 4. Let b be i(-4). Is ((-4)/3)/(b/(-42)) composite?
True
Let c be 35/14*12/10. Suppose -5*h - 5*t - 55 = 0, -3*h - 5*t + 10 = 45. Let r = c - h. Is r prime?
True
Suppose 0 = -2*m + 3433 - 315. Is m a prime number?
True
Let i(z) = -z**3 + 4*z**2 + 7*z - 1. Let m be i(5). Let n(f) = -7 + f**2 - 6 + 2 + f. Is n(m) prime?
True
Suppose p - 4*p - 482 = -n, -3*n = -3*p - 1428. Is n prime?
False
Is 9/((-27)/(-8690)) - (-1)/3 prime?
True
Suppose -3*m = -t + 53 - 250, m + 5*t = 87. Suppose -2*r + 31 = -m. Is r prime?
False
Let l = 9 - 7. Suppose 7 = l*j - 0*a + a, 3*a + 45 = 5*j. Is j a prime number?
False
Suppose 32*u - 25*u - 2954 = 0. Is u prime?
False
Let h(n) be the third derivative of -n**2 - 1/3*n**3 + 0 - 43/24*n**4 + 0*n. Is h(-3) prime?
True
Let h = 2378 + -849. Suppose -a + 618 = 2*c + a, -5*c - a + h = 0. Is c composite?
True
Let w = -5 + 10. Suppose 3*c + 2*c + 5*o - 1585 = 0, w*o = -10. Is c a prime number?
False
Is 6/4*(-9070)/(-15) a prime number?
True
Let n = -351 - -518. Is n a composite number?
False
Let v = -3238 + 5139. Is v a prime number?
True
Suppose -5*b + 3*b = -4. Let w(t) = -t**3 - t**2 + 4*t - 1. Let o be w(-3). Suppose -2*z = -o*k - 0*z + 249, -b*k = -2*z - 102. Is k a composite number?
True
Let v(f) = 31*f + 8. Let j be v(3). Is (j + 5)*1/2 composite?
False
Let n(k) be the second derivative of k**4/4 - k**3/3 - k**2 + k. Let i be 5 - (1 - (-6)/3). Is n(i) a prime number?
False
Let r be (19/(-4))/((-2)/8). Suppose r = -0*f + f. Is f prime?
True
Suppose 7 = -4*k + 31. Let n(d) = 10*d**2 + 3*d + 1. Is n(k) a composite number?
False
Let t(o) = -o**2 + 5*o. Let u be t(4). Suppose -4*d = 2*y + 5 - 1, -u*d = -4. Let k(l) = -2*l**3 + l**2 + 2*l - 3. Is k(y) a prime number?
False
Is 7/((-4)/(84/(-3))) a prime number?
False
Suppose -q + 2*i = -4*q + 749, 4*q = 3*i + 1027. Is q prime?
False
Suppose -4*g + 0*g = 2*m - 142, -m + 170 = 5*g. Is g a composite number?
True
Suppose -9 = 3*w - 3*m, -5*m - 12 = -m. Let t(p) = -p - 8. Let l be t(w). Is l + -3 + 0 + 418 a prime number?
False
Let k(u) = -7*u. Let t(p) = -4*p. Let i(z) = -3*k(z) + 5*t(z). Let l be i(-3). Is 113 - ((-2 - l) + -1) a prime number?
True
Let y(l) = 349*l - 16. Is y(3) a prime number?
True
Let q(x) = -89*x + 3. Let t be q(-3). Suppose 3*s = -3*k + t, -2*s = k + 2*k - 267. Is k a prime number?
False
Let g(o) = 2*o**3 - 6 - 3*o**3 + 3*o**2 + 5*o**2. Let j be g(9). Let f = -20 - j. Is f a composite number?
False
Let g = -43 - -80. Is g prime?
True
Suppose -2*y = 2*o + 3*y - 127, -4*y = -20. Is o a composite number?
True
Let o = -4 - 2. Let s(g) = g**3 + 7*g**2 + 6*g. Let p be s(o). Suppose 267 = 3*f - m - 0*m, -4*m = p. Is f a prime number?
True
Let d be (2 + -868)/(-2) - 2. Let c = d + -308. Is c a prime number?
False
Let a(i) = i + 7. Let t = 3 + -10. Let k be a(t). Suppose k*g + 254 = 2*g. Is g a composite number?
False
Let o(j) = 2 + 5 - 3*j - 12. Is o(-4) prime?
True
Let q = 8 + -4. Suppose 174 = q*x - x. Let i = x - 23. Is i composite?
True
Let d = 1 - -1. Suppose -d*t - t = -15. Suppose 123 = 3*j - t*a, j + 2*a + a = 55. Is j composite?
True
Let l(y) = -6*y - 4*y - 3*y - 9 + 3. Is l(-5) prime?
True
Suppose 9 - 54 = 3*a. Suppose 5*i - 2*l = 80, 2*l = -4*i - 0*i + 64. Let g = i - a. Is g a composite number?
False
Let t be ((-28)/(-8) + -2)*-4. Let q = t + 25. Is q prime?
True
Let y = 3554 - 411. Is y a prime number?
False
Suppose -18 = 3*q + 12. Is -2*(-5)/(q/(-79)) a composite number?
False
Is 1 - 30*(0 + -1) a prime number?
True
Let o be (278/(-4))/(3/6). Let m = 15 - o. Suppose -4*h + 118 = -2*s - 92, -5*s - m = -3*h. Is h a prime number?
True
Let b = -411 - -610. Is b a composite number?
False
Suppose 58 = 5*c + 3*m - 35, -m + 38 = 2*c. Let p = -32 + c. Let j = p - -64. Is j a composite number?
False
Let y = 795 + 208. Is y a prime number?
False
Let f be (-3)/((-9)/6) - -10. Suppose -1 = -5*y + 4. Is 78/f + y/(-2) a composite number?
True
Suppose 207 = m - 5*q, -10*m = -9*m + 3*q - 199. Is m prime?
False
Suppose h + 2*d = 413, 2945 - 924 = 5*h - d. Let f = 590 - h. Is f composite?
True
Let r = 8 + -4. Suppose y + r*v - 126 = -y, 6 = 3*v. Is y composite?
False
Let l(p) be the first derivative of 72*p**2 + 3*p + 6. Is l(2) a prime number?
False
Suppose -3 = t, 3*l - t = 3 + 3. Is (l/2)/(4/72) composite?
True
Let x = 41 + -21. Let l(f) = 4*f + 5. Let q be l(-4). Let m = x + q. Is m a prime number?
False
Is (204/(-24))/((-1)/26) a composite number?
True
Let u = -7 + 12. Suppose 5*p + 4*n = -2804, -4*n - 2836 = u*p - 8*n. Is (-6)/(-15) + p/ | {
"pile_set_name": "DM Mathematics"
} |
143*m**2 - 278028458 with respect to m.
552576286*m
Find the second derivative of 5232*u**4 + 8*u**3 + 23*u**2 - 5*u - 204814 wrt u.
62784*u**2 + 48*u + 46
Find the third derivative of -204383841*c**5 - 559241629*c**2.
-12263030460*c**2
Differentiate 99862*a*o**2 - 1452840*a + 9*o**2 with respect to o.
199724*a*o + 18*o
Find the third derivative of 554450*b*n**3 + 38*b*n**2 - b - 6*n**3 + 4*n**2 - 33*n + 28 wrt n.
3326700*b - 36
What is the second derivative of 37*f**4 + 2*f**3 + 841334*f**2 - 1182942602*f?
444*f**2 + 12*f + 1682668
What is the second derivative of -8704414*v**2 + 515857314*v wrt v?
-17408828
What is the second derivative of 18916322*v**2 - 60542610*v wrt v?
37832644
What is the third derivative of -381873*k*r**4 + k*r**3 - 4747*k*r**2 + k*r - r**4 - 5*r**3 - 28*r wrt r?
-9164952*k*r + 6*k - 24*r - 30
Find the second derivative of -201985*b**3 - 136*b**2 - 2521899*b.
-1211910*b - 272
What is the second derivative of 23022793*x**5 - 46580784*x wrt x?
460455860*x**3
Find the second derivative of -330173258*n**2*w**2 - 119*n*w**2 + 10*n*w - 19110*n - 2*w**2 - 2*w wrt n.
-660346516*w**2
Find the first derivative of 121172766*a*g - 79383358*g wrt a.
121172766*g
What is the second derivative of 848805826*v**3 - 150*v - 164112 wrt v?
5092834956*v
Find the second derivative of -61529980*y**2 + 5019*y + 738 wrt y.
-123059960
Differentiate 33585*g**2*h**4 + 1307448*g**2 - 3*g + 78*h - 1 with respect to h.
134340*g**2*h**3 + 78
Find the third derivative of -2*u**6 - 125745*u**4 + 4*u**3 - 6598096*u**2.
-240*u**3 - 3017880*u + 24
Find the third derivative of -5468147*x**3 - 235523*x**2 - 2*x wrt x.
-32808882
Find the first derivative of -431*b**2*c*v + 3*b**2*c + 16766*b**2*v - 22323*c*v - 2*c - 5*v + 79 wrt b.
-862*b*c*v + 6*b*c + 33532*b*v
What is the first derivative of 4*c**3 + 6401948*c - 123168166?
12*c**2 + 6401948
Differentiate 1545*t*w - 593980*t + 14291*w - 8 wrt w.
1545*t + 14291
What is the second derivative of 1399586684*f**2 - 22294*f - 11462?
2799173368
What is the third derivative of -659916101*a**6 + 2*a**4 - 959953763*a**2?
-79189932120*a**3 + 48*a
What is the derivative of 554*b*v**3 + b*v**2 + 4*b*v - 192*b - 10*v**3 - 3886*v**2 + 2*v + 14 wrt b?
554*v**3 + v**2 + 4*v - 192
What is the derivative of -852930*c**4 - 421*c + 24754789 wrt c?
-3411720*c**3 - 421
What is the third derivative of 2*c**5 - 7602*c**4 + 3390*c**3 + 1315770*c**2 + 11 wrt c?
120*c**2 - 182448*c + 20340
What is the derivative of -166*o**4 - 2818*o**3 - 2*o**2 + 431209 wrt o?
-664*o**3 - 8454*o**2 - 4*o
What is the second derivative of -1046*v**4 + 67627*v**2 - 462679*v - 1?
-12552*v**2 + 135254
Find the third derivative of -121080808*u**4 - 28041977*u**2 wrt u.
-2905939392*u
What is the second derivative of 214212411*x**2 + 383866848*x?
428424822
What is the derivative of 2*d**3*n*o + d**3*n - 2*d**2*n + 17*d*n + d + 11650331*n*o**2 + 5701*n wrt o?
2*d**3*n + 23300662*n*o
What is the first derivative of -30460170*o**4 + 21423953 wrt o?
-121840680*o**3
What is the second derivative of 9323633*v**2 + 1427839412*v wrt v?
18647266
What is the third derivative of 8579*u**4 + 1629*u**3 - 18880369*u**2 - 1 wrt u?
205896*u + 9774
Find the third derivative of -168431279*z**6 - 158818367*z**2 wrt z.
-20211753480*z**3
Differentiate 73991176*m + 132307662 wrt m.
73991176
Find the third derivative of -8992316*f**5 + 17588701*f**2.
-539538960*f**2
Find the second derivative of -29996281*l**2*y + 2*l*y - 23*l + 8368231 wrt l.
-59992562*y
Differentiate 4256427*p**2 + 8817058.
8512854*p
What is the second derivative of 1916*p**5 + 76*p**4 + p**3 + 55367059*p?
38320*p**3 + 912*p**2 + 6*p
Find the first derivative of -5135*f*k**3 - 2318*f*k**2 + 67842564*f wrt k.
-15405*f*k**2 - 4636*f*k
What is the second derivative of -247012601*n**2*s + 4*n*s + 78*n + 25453 wrt n?
-494025202*s
Find the third derivative of 183794317*l**4 - l**2 + 81011799*l wrt l.
4411063608*l
What is the third derivative of -44627*t**5*z**2 + 10*t**3*z**2 + 47*t**2*z + 48*t**2 + 8*t*z**2 + t*z + 2*z wrt t?
-2677620*t**2*z**2 + 60*z**2
What is the first derivative of -43821027*k*n + 4*k - 499736239*n wrt k?
-43821027*n + 4
What is the derivative of 5*h**2*m + 82958044*h*m + 1035646081*m wrt h?
10*h*m + 82958044*m
Find the third derivative of 2*u**4 + 13350144*u**3 - 26159*u**2 + 34.
48*u + 80100864
What is the derivative of 249124113*p**2 - 592321829?
498248226*p
What is the second derivative of -6538254*m**2*w**3 + 2*m**2*w - 6*m*w**3 - 56*m - 468*w**3 + 28*w**2 wrt m?
-13076508*w**3 + 4*w
What is the third derivative of 157*d**6 - 223353*d**4 + 649237114*d**2?
18840*d**3 - 5360472*d
What is the first derivative of -44*c**2 - 82269*c + 3216813?
-88*c - 82269
What is the third derivative of -8687317*d**3 + 277534397*d**2?
-52123902
Differentiate -3*j**2*w + 5419*j**2 - 45808*j*w + 30316*j + 20*w with respect to w.
-3*j**2 - 45808*j + 20
Find the second derivative of -27796*g**3*t**3 + 72*g**3*t**2 + g*t**2 + 5*g*t - 2*g - t**3 - 67196*t**2 - 2 wrt g.
-166776*g*t**3 + 432*g*t**2
What is the derivative of 25487116*t + 45674917?
25487116
Find the second derivative of 179795*g**4*j**3 - 13*g**3*j + 7*g*j**3 + 563208*j**3 wrt g.
2157540*g**2*j**3 - 78*g*j
What is the second derivative of 5291271*o**2*z**2 + 15*o**2*z + o*z + 23963*z wrt z?
10582542*o**2
What is the second derivative of -255*d**5 - 55*d**4 - 5*d**2 + 59109704*d?
-5100*d**3 - 660*d**2 - 10
Differentiate 37847622*s**3 - 42853484 wrt s.
113542866*s**2
What is the derivative of -2*f**2*v - 53601*f**2 - 24*f*v + 21612595*v wrt f?
-4*f*v - 107202*f - 24*v
What is the third derivative of -101455133*p**3 + 59692288*p**2?
-608730798
Find the third derivative of 7680559*r**6 + r**3 - 9961*r**2 + 33 wrt r.
921667080*r**3 + 6
Differentiate 9*l*u - 32893*l - 7986*u + 32 wrt l.
9*u - 32893
What is the second derivative of 61733254*h**3 + 3*h**2 + 196315563*h wrt h?
370399524*h + 6
What is the second derivative of 3*f**4 - 1347381*f**3 - 2*f**2 + 10*f - 3922994 wrt f?
36*f**2 - 8084286*f - 4
Find the second derivative of -2849*i**5 + 1230*i**3*l**2 + 2*i**2 + 108*i + 41*l**2 + 13*l - 4 wrt i.
-56980*i**3 + 7380*i*l**2 + 4
What is the first derivative of 4*b*r*t + 33735*b*r - 3*b*t - 13*b + 36933716*r*t wrt b?
4*r*t + 33735*r - 3*t - 13
Differentiate 90650180*i**2*t + 3444*i**2 + 2*i + 2324 with respect to t.
90650180*i**2
Find the first derivative of 33919121*h**3 - 37293393.
101757363*h**2
Differentiate 175*m*p**3 + 291*m*p - 3*m - 28*p**3 - 5*p**2 - 2992*p with respect to m.
175*p**3 + 291*p - 3
What is the third derivative of -810721*a**3*h**2 + 6*a**3*h*z - 6*a**3*z - 90*a**2*h**2 - 2*a*h**2*z - 191945*a*h**2 wrt a?
-4864326*h**2 + 36*h*z - 36*z
Find the third derivative of 34195057*z**6 + 127872409*z**2.
4103406840*z**3
Find the first derivative of 4521167*m**2*p + 645*m**2 - 11510*m + p wrt p.
4521167*m**2 + 1
What is the second derivative of 280901*a**2*n**2 - 4*a**2*n + 21214*a*n - 2*a - 2*n**2 + 2*n wrt a?
561802*n**2 - 8*n
What is the third derivative of -8311438*l**4 - 1983554*l**2?
-199474512*l
Find the third derivative of 74923523*m*n**3 + m*n**2 + 64*m*n - 2*m - 4*n**2 - n + 15 wrt n.
449541138*m
Find the second derivative of 133211007*o*x**2 - 2*o*x - 20*x - 94413 wrt x.
266422014*o
What is the second derivative of -1950*q**4 - 2*q**3 - 668*q**2 - 55371852*q wrt q?
-23400*q**2 - 12*q - 1336
What is the second derivative of 366*d**4 + 1346*d**3 + 13*d**2 - 19087*d - 39 wrt d?
4392*d**2 + 8076*d + 26
What is the third derivative of -378*z**4 - 51182*z**3 + z**2 - 74355*z - 12 wrt z?
-9072*z - 307092
Find the second derivative of -12*k**2*l*p*s - 194*k**2*l - 5353*k**2*p*s + 2*k*l*p + 148*k*l*s + 6*k + 2*l*p*s - 303*l*s - 6*p wrt k.
-24*l*p*s - 388*l - 10706*p*s
What is the first derivative of -2*q**3 + 1488*q - 2504567?
-6*q**2 + 1488
What is the third derivative of -3*h*j**4 + h*j**3 - 4679*h*j**2 + 2*h*j + h - 79232*j**4 - j**3 + 3*j**2 + 7 wrt j?
-72*h*j + 6*h - 1901568*j - 6
What is the second derivative of -2*b**2*q - 1380532*b**2 + 52*b*q - 12*b - 2098*q wrt b?
-4*q - 2761064
What is the second derivative of 1237*m**3 + 1251*m**2*r**3 + m**2*r**2 - 69920*m*r**3 - r**3 + 3*r**2 - 3*r wrt m?
7422*m + 2502*r**3 + 2*r**2
What is the | {
"pile_set_name": "DM Mathematics"
} |
in the form g*s**4 + w + c*s**3 + a*s**2 + y*s and give g.
-17
Express -54*d**2 + 24*d**2 - 9*d**3 + 28*d**2 in the form c*d + a*d**3 + l*d**2 + v and give l.
-2
Express -d + 2*d - 7*d + (6 + 0 - 5)*(3*d - 4*d - 3*d) in the form j*d + b and give j.
-10
Express m**3 - m + 3*m**3 + 2*m**4 + 0*m + 3*m**2 - 2*m**3 in the form w*m**4 + z*m + x + d*m**3 + i*m**2 and give i.
3
Express -112*f**2 + f**4 + 5*f**3 + 0*f**3 + 111*f**2 + 3*f as r*f**2 + v*f**3 + m*f**4 + g + p*f and give m.
1
Rearrange 0*o**3 - 2*o**3 - 1 + 3*o**3 - 1 + 2*o to u + l*o**2 + r*o**3 + t*o and give t.
2
Rearrange -25*s**3 - 113*s**2 + 113*s**2 + (0*s + 0*s - s)*(-s + s + s**2) to the form i*s**2 + r + u*s + d*s**3 and give d.
-26
Express -1 + 6 - 5 - 32*r**2 as m*r + z + w*r**2 and give w.
-32
Rearrange (-i + 2*i - 3*i)*(1 + 2 + 0)*(4 + i - 4) to the form x*i + d*i**2 + y and give d.
-6
Rearrange (-2*h - 3 + 3)*(28*h**2 + 43*h - 43*h) to the form r*h**2 + m + j*h**3 + g*h and give r.
0
Express -8 + 2*m**2 - 10*m**4 + 4*m**4 + 6 + 2*m**3 as b*m**2 + o*m**4 + f*m**3 + t*m + a and give a.
-2
Rearrange (1 + 2*f + 5*f - 6*f)*(40 + 8*f - 40) to the form k*f + r + w*f**2 and give w.
8
Express (4*c - 2*c + 0*c)*(-2 - 3 + 1)*(2 - 3 - 2) in the form r*c + o and give r.
24
Rearrange (-14*u + 18*u + 24*u)*(-3*u**2 - u**2 + 5*u**2) to the form n*u + w + t*u**3 + d*u**2 and give t.
28
Express 4*d - 5*d**4 - 37*d**2 + 2 + 35*d**2 + 3*d**4 in the form v + y*d**4 + a*d**2 + x*d + n*d**3 and give v.
2
Express -77*r + 3 - 3 + 3*r**2 + 42*r as y*r**2 + v + q*r and give q.
-35
Rearrange -89*d**2 + 3 - 6*d**4 + 87*d**2 - 1 + 2*d**3 to x*d**3 + g + o*d**2 + y*d + q*d**4 and give o.
-2
Express -48*s**3 + 118*s**3 - 119*s**3 + (3 + s**2 - 3)*(-2*s - 3 + 3) as t*s**2 + l + d*s + f*s**3 and give f.
-51
Express -a**2 + a**2 + 2*a**3 + (-2*a + 0*a - a)*(0 + 0 - a)*(0*a - 2*a + 5*a) as s*a**3 + l*a + z + y*a**2 and give s.
11
Express 3*g**2 - 4*g**2 + 4 - 2 - 2*g**2 as j*g**2 + f + n*g and give j.
-3
Rearrange (z - 1 + 1)*(-10 + 1 - 6) - 3*z - z + 6*z + (0 - 4 + 2)*(-3 + 3 - z) to q + w*z and give w.
-11
Express (q**2 - q**2 + q**2)*(-4 + 0 + 1) + 0*q**2 + 5*q**2 - 2*q**2 + (-2*q**2 - 3*q + 3*q)*(-1 - 2 + 5) in the form f*q + x*q**2 + c and give x.
-4
Express d**2 - 3*d**4 - 100 + 6*d**4 + d**3 + 98 in the form o*d**3 + c*d**2 + b*d**4 + s + i*d and give s.
-2
Rearrange (0 + 3 + 1)*(16*p - 39*p + 6*p) + (3 - 3 + p)*(-1 - 2 + 4) to the form n + o*p and give o.
-67
Rearrange (-2*b**2 - 2 + 2)*(-1 + 7 - 2*b + 0*b) to the form p*b**2 + c*b + k*b**3 + m and give k.
4
Rearrange 6*w - 5*w + 26*w**2 - 15*w**2 to the form k + b*w + f*w**2 and give f.
11
Express 4*q - 7*q + 5*q + 2*q as j + f*q and give j.
0
Express (4 + y - 4)*(-3*y + 0*y + 0*y) - 3*y**2 + 0*y**2 - 2*y**2 in the form w + x*y**2 + b*y and give x.
-8
Rearrange (3*o**3 - 5*o**3 - 10*o**3 - 15*o**3)*(2 - 3 + 3) to h*o**3 + v + l*o**2 + s*o and give h.
-54
Rearrange (3 + 3 - 4)*(i - i + 3*i)*(i + i + 0*i)*(2 - 2 + 7) to x*i**2 + h + m*i and give x.
84
Express (-4*h + 4*h - 3*h)*(22 + 24 + 2*h - 49) in the form f + w*h**2 + q*h and give w.
-6
Rearrange (5*d + 3 - 3)*(8 - 1 - 3) + (-4 + 0 + 5)*(2*d - 2*d - 2*d) to the form f*d + z and give f.
18
Rearrange -w**2 + 30 + 29 - 54 to s*w + q*w**2 + r and give r.
5
Express 2*h**2 + h**3 + 2*h + 2*h**2 - h**2 - 3*h as a*h**3 + k*h**2 + c*h + b and give k.
3
Express 69*p**2 + 2284*p - 2284*p as a*p**2 + y + l*p and give a.
69
Rearrange -6*n + 2*n + 5*n + 5*n**2 to a + b*n + w*n**2 and give w.
5
Express (-15*l - 20 + 20)*(1 + 1 + 1) as f*l + y and give f.
-45
Rearrange 0*c + 4*c - 9*c - 10*c to the form y + g*c and give g.
-15
Express 6*r**2 + 4*r - 10*r**2 + 3*r**2 in the form k*r + b + h*r**2 and give h.
-1
Rearrange 17*u - 19 + 19 to p + d*u and give p.
0
Rearrange ((4 - 2 - 5)*(5*y + 0*y - 3*y) - 2*y + 5*y - 2*y + 4*y - 7*y + y + 2*y + y - 4*y)*(2*y + 0*y - y) to the form c*y + r + x*y**2 and give x.
-8
Rearrange (1 + 4*w**3 - 4*w**3 + 4*w**3)*(3 - 3 + 1 + (-6 + 2 + 3)*(2 + 4 - 3) + 3 + 2 - 4) to n + k*w**3 + p*w + l*w**2 and give n.
-1
Rearrange 5 - 6 + 2*a**2 + 1 to s + z*a + w*a**2 and give w.
2
Rearrange 4*g**4 + g**2 + 1 + 4*g - 2*g**3 - 2*g**4 - 4*g to y*g + n + f*g**3 + x*g**4 + l*g**2 and give y.
0
Express (-3 + g + 3 + (1 - 1 - 2*g)*(0 + 1 - 3) + 2*g + g - 2*g)*(1 - 4 + 1)*(1 - 4 + 2) in the form d*g + a and give d.
12
Express -247 + 247 + 41*v as q*v + x and give q.
41
Rearrange 5*j - 2*j - 9*j - 9*j to t + m*j and give m.
-15
Express l**4 + 2*l + 9 + 2 - 4 as t*l**3 + p*l**4 + g*l + i*l**2 + m and give g.
2
Express (g + 2*g - 2*g)*(2 - 3 - 1) + 3126 + 192*g - 3126 as j + t*g and give t.
190
Express 152*w**3 - 151*w**3 + 12*w**4 - 2*w**4 + 2*w**2 as g + s*w**3 + l*w**4 + f*w + v*w**2 and give v.
2
Rearrange 18*x**4 - 3*x**4 + 8*x**4 + 2*x**4 + 0*x**4 - 3*x**4 + (-3*x**2 - 2*x**2 + 3*x**2)*(-2 + 2 + x**2) to t*x + k*x**2 + f*x**3 + b*x**4 + g and give b.
20
Express -3*q + 2 + 2*q**2 - 3*q**2 + 2*q**4 + 5*q - q**4 in the form j*q**2 + v*q + z*q**4 + t*q**3 + n and give n.
2
Express 34*i - 18*i + 23*i as y + g*i and give y.
0
Express (0*z**2 + z**2 + 0*z**2)*(2 - 2 - 2*z) + 3447*z - z**2 - 3445*z + 1 + 10*z**3 - 2 in the form x + y*z**3 + v*z + u*z**2 and give u.
-1
Rearrange -6*i**4 - 2 - 3*i**2 + 0*i**2 - i + 4*i**4 - i to the form q*i**3 + x*i**4 + w*i + z*i**2 + s and give x.
-2
Express (-11 + 11 + 8*i)*(-3*i**2 + i - i + (-4 + 4 - 3)*(3*i**2 + 0*i**2 - 5*i**2)) in the form j*i**2 + r*i + o*i**3 + z and give r.
0
Rearrange (-1 + 1 - z)*(-z**3 - z + z) - 4*z**4 + 0*z**4 - 7*z**4 to the form h*z**2 + b*z + t*z**3 + s + f*z**4 and give f.
-10
Express (72 + 6 + 67)*(0 + 0 + 2*r) in the form t + g*r and give g.
290
Express 4*m + 589 - 587 - 3*m**3 - m in the form f + o*m + p*m**2 + h*m**3 and give h.
-3
Rearrange (-68*k - 23*k - 18*k)*(k + 1 - 1 - 2) to j + v*k + l*k**2 and give l.
-109
Express (4*d - 3*d - 2 + 6)*(-15 + 8 - 35) as u + y*d and give y.
-42
Express ((3 - 3 - 5)*(4 - 1 - 1) + 3 - 2 + 0)*(2*i**4 - 2*i**4 - i**4) as o*i + r + t*i**2 + k*i**3 + u*i**4 and give u.
9
Express -37*x**2 + 3 - x**3 - 3 + 35*x**2 as l*x**2 + o*x**3 + v + f*x and give o.
-1
Rearrange -51*r - 13*r + 4*r to i*r + s and give s.
0
Express (0*b**3 + 2*b**3 + 0*b**3)*(3 + 37*b - 2 - 28*b) as u*b**2 + g*b**4 + z + s*b + m*b**3 and give g.
18
Rearrange -113*q**2 + 19*q**2 + 29 - 28 - 23*q**2 to u*q + t*q**2 + v and give v.
1
Rearrange (7*b - 5 - 21*b + 11*b)*(3*b - 3*b - 7*b) to u + k*b**2 + g*b and give k.
21
Rearrange (-3 - g + 3 + 1)*(-12*g**2 + 6*g**2 - 31*g**2) to r*g**2 + f + t*g**3 + v*g and give r.
-37
Rearrange 4 - 2*y**2 - 4 + 18*y + 12*y**2 - 18*y + (0 + 0 + y)*(-5 + 5 + 2*y) to the form a*y**2 + t + z*y and give a.
12
Express -23 - 13*j**2 + 23 + (2*j - 4 + 4)*(2 - 2 + 2)*(0*j + j - 5*j) in the form i + w*j**2 + s*j and give i.
0
Express (-3 - 1 + 2)*(-3 + 8 - 4)*(0 - 2 + 0)*(2*p - 2*p - 2*p) in the form c*p + s and give c.
-8
Express 116*q**4 + 0*q - q**3 + 2 - 115*q**4 + 3*q + 2*q**2 - 3*q**2 as k*q**4 + m*q**2 + u*q**3 + r + i*q and give m.
-1
Express 2*w + 4*w - 4*w + (2*w - 4*w + w)*(1 - 5 + 0) + 4*w + w - 3*w + 4 + 2*w - 2*w + w + 3 - 2*w - 3 in the form m + k*w and give m.
4
Rearrange (2*f - 4*f + 0*f)*(-29*f + 14*f + 9*f - 3) to a*f + g + h*f**2 and give a.
6
Express (3 - 1 - 1)*(-3 + 0 + 1)*(-3*m - 14*m + 7*m) in the form u + a*m and give a.
20
Express (-21*j**4 - 86*j**4 + 2*j**4)*(-5 + 2 + 1) as p*j**3 + k + i*j + g*j**4 + w*j**2 and give g.
210
Rearrange -4*c**3 + 4*c**3 - 2*c**4 + (-3 + c + 3)*(969*c**3 - 1772*c**3 + 1004*c**3) to v*c + o + w*c**3 + t*c**4 + x*c**2 and give t.
199
Express -37 - u - 40 + 2*u - 15 in the form c + s*u and give c.
-92
Rearrange (-2 - 4 + 4)*((-3*b + 0*b - b)*(-1 + 0 + 3) - 2*b + b + 0*b - b + 3*b - 3*b) to h*b + c and give c.
0
Express -4*a - a + 25*a in the form s*a + g and give s.
20
Express 1 - g - 1 + (g - 4*g + 2*g)*(2 + 2 - 2) + 4*g - 4*g + 7*g + (3 - 4 + 0)*(-5 + 5 + 2*g) as v + s*g and give s.
2
Rearrange (-53 + 42 + 28 + (5 - 2 - 1)*(-3 + 2 + 2))*(n - 4 + 4) to the form z*n + b and give z.
19
Express c - 7*c**3 - c + 0*c + 3*c in the form x*c**3 + j*c + t*c**2 + f and give x.
-7
Rearrange (-2 + 2 + 2*x)*(135*x**2 + 9 - 4 - 5) to v + h*x**3 + t*x + i*x**2 an | {
"pile_set_name": "DM Mathematics"
} |
nd -1?
1748
3*-5.49
-16.47
Product of 1 and -0.029.
-0.029
What is the product of -248.7 and 0.2?
-49.74
Product of -4 and 19.
-76
0.4 * -514
-205.6
What is -2 times -672?
1344
What is 2 times 1267?
2534
Product of -2 and 118.
-236
Work out 0.4 * 213.
85.2
What is the product of 5 and 2?
10
Product of 0 and -274.
0
Multiply 15.12 and -0.2.
-3.024
-8.7 times 0.26
-2.262
0.1 * -0.0526
-0.00526
-1174 * 0.5
-587
Multiply 2 and 242.
484
Product of 0.269 and 1.
0.269
Product of 6958 and -0.5.
-3479
Calculate 1*-3.8.
-3.8
Product of -25 and 0.139.
-3.475
-3*-7.3
21.9
-2 times -16
32
-14680 * -0.5
7340
Product of 2.4 and 96.
230.4
Work out -0.8568 * 0.3.
-0.25704
Product of 1 and 3.9.
3.9
What is 0.5 times 1167?
583.5
-137.8 times -1.5
206.7
What is the product of 0.44 and 0.2?
0.088
What is -2 times -35?
70
What is the product of 12.8 and 3?
38.4
Multiply -14 and 0.3.
-4.2
Work out 1 * 662.
662
Work out 0.4 * -5.
-2
-7634 * 0.4
-3053.6
Product of 0.2 and -3978.
-795.6
Multiply 949 and -0.2.
-189.8
Product of 269 and 0.2.
53.8
What is 148 times -0.19?
-28.12
-0.7 times 4.487
-3.1409
Product of 0.32 and 8.
2.56
Work out 0.05 * 0.043.
0.00215
0.1*-2078
-207.8
What is -0.5 times 2.521?
-1.2605
What is 228 times 1?
228
-24 * 14
-336
What is the product of -189.54 and -0.3?
56.862
28.497 times 0.5
14.2485
Calculate -2.5377*0.3.
-0.76131
Product of -2.7 and 23.
-62.1
Work out 0.2 * -1344.
-268.8
Calculate 221*-0.9.
-198.9
Calculate -0.3*-0.004.
0.0012
-0.06*-480
28.8
Work out 4 * -0.0806.
-0.3224
0.09 times -40
-3.6
91 * 0.3
27.3
-96*0.12
-11.52
Work out -4 * 272.
-1088
Work out 0.4 * 147.
58.8
0.4 times 140
56
-2.74 times 22
-60.28
-0.088*-0.26
0.02288
Multiply -215 and -5.
1075
What is the product of -0.5 and -5?
2.5
What is the product of 0.02 and -0.2?
-0.004
What is the product of -0.67 and -28.4?
19.028
Product of 0.08 and 0.71.
0.0568
Work out 0.11 * 0.894.
0.09834
-0.4*405
-162
Product of -0.3 and -235.
70.5
Calculate 5*0.037.
0.185
7.1*-0.1
-0.71
Calculate -61*12.
-732
Calculate 380*-0.2.
-76
What is the product of -1 and -34.3?
34.3
Work out 4.72 * -5.
-23.6
Work out 322 * 0.4.
128.8
Product of -11 and 43.7.
-480.7
5*-0.17
-0.85
Product of 116 and 2.4.
278.4
-0.2*-108
21.6
What is the product of 0.2 and -1.26?
-0.252
Product of -0.04 and 38.
-1.52
Multiply 0.01 and 0.66.
0.0066
-3*-0.216
0.648
99.5 times 10
995
Work out -0.074 * 0.01.
-0.00074
Work out -60.7 * -0.3.
18.21
Multiply -3 and 4.
-12
-0.326 times 6
-1.956
Work out 1.74 * -0.1.
-0.174
Product of -0.205 and 3.
-0.615
-0.03*57
-1.71
What is 5 times -0.52?
-2.6
0.6*-22
-13.2
-0.47 times -22
10.34
What is 0 times -0.101?
0
Work out 0.9 * 789.
710.1
Work out -10 * -18.
180
Work out -8.081 * 0.5.
-4.0405
Multiply 0.5 and 0.39.
0.195
-0.4 times 132
-52.8
-0.046*6.4
-0.2944
-202 * -0.6
121.2
-0.28 * 0.02
-0.0056
Multiply 0.1 and -4.59.
-0.459
1216 * -0.8
-972.8
3 * 1321
3963
Calculate -3174*0.3.
-952.2
3 * -0.0375
-0.1125
0.0646*-2
-0.1292
19 times -108
-2052
Multiply 0.02 and 1433.
28.66
Work out 4911 * 1.
4911
What is -48 times 0.8?
-38.4
What is -5 times 0.0445?
-0.2225
What is -51 times -35?
1785
Multiply 0.074 and 14.
1.036
Multiply 3 and -26.
-78
What is the product of 4775 and -0.4?
-1910
-2*763
-1526
Multiply -0.16 and -27.
4.32
What is 0.09 times -0.0309?
-0.002781
0.2 times -3
-0.6
470 * -0.2
-94
-14*-0.1
1.4
0.3*0.2121
0.06363
What is the product of 6.06 and 0.26?
1.5756
0 times 129
0
Work out -7.24 * 4.
-28.96
-0.1 * -0.95
0.095
Product of -1219 and 0.
0
-60 * -0.4
24
What is -0.8 times 0?
0
Product of -30 and -5.
150
What is -103.1 times -0.4?
41.24
Product of 0.1 and -43.
-4.3
0.37*0.1
0.037
4*1.25
5
What is the product of -4 and -2.17?
8.68
Product of -2 and -43.1.
86.2
What is 0 times -290?
0
Multiply 0.809 and 0.04.
0.03236
Work out 4 * -899.
-3596
Product of 4.2 and 0.15.
0.63
What is 69 times -0.5?
-34.5
What is the product of -3338 and 2?
-6676
-0.4*-175
70
Multiply -2.26 and -4.
9.04
-65*-1.5
97.5
What is 0.2 times 3893?
778.6
11 * 1269
13959
What is the product of 0 and 3?
0
What is 428 times -0.2?
-85.6
What is the product of -0.07 and -0.14?
0.0098
Calculate 0.5*-72.
-36
-109.88*-5
549.4
What is the product of 0.07 and -66?
-4.62
0.0885*-0.5
-0.04425
What is the product of -1 and 0.019?
-0.019
Calculate 0.3*-1938.
-581.4
What is the product of -47 and -1.6?
75.2
Calculate -0.06*25.
-1.5
Calculate 0.0444*-0.5.
-0.0222
Calculate -40221*-0.4.
16088.4
What is 35 times 1?
35
What is 0.5 times 1345?
672.5
What is 32.44 times 0.2?
6.488
0.69 times 0.4
0.276
What is 1.45 times -53?
-76.85
What is the product of 5 and -0.05464?
-0.2732
What is -7 times 64?
-448
Work out -181 * 0.3.
-54.3
Calculate 31.1*-2.9.
-90.19
Work out -9 * -33.
297
What is -4.8 times -426?
2044.8
Work out 0.6 * 297.
178.2
46 * -0.1
-4.6
0.3 * -2801
-840.3
8 * 50
400
Calculate -0.1*-6.4.
0.64
Calculate 12*-93.
-1116
Work out -2066 * 4.
-8264
Work out 56 * 96.
5376
What is the product of -1.2 and -12?
14.4
Multiply -0.71 and 4.
-2.84
Calculate 122.8*0.2.
24.56
4 * 47
188
-0.9 * -0.17
0.153
-6.2 times -0.076
0.4712
Calculate 99*-0.03.
-2.97
Product of -4 and 228.
-912
Multiply 4879 and -0.5.
-2439.5
What is the product of 139 and -7?
-973
Work out 5.2 * -0.53.
-2.756
What is 3000 times 0?
0
4 * 0.0045
0.018
What is the product of -4.09 and 0.2?
-0.818
Calculate -0.08*-4.
0.32
1.5 * -238
-357
-0.5 * 0.78
-0.39
5*4.3
21.5
What is the product of -0.1 and -224?
22.4
Work out 2 * 1153.
2306
What is 0.5 times 0.039?
0.0195
Calculate 0.07*10.3.
0.721
What is the product of 5 and -3.6?
-18
Work out -129 * -0.3.
38.7
What is -5.21 times -5?
26.05
What is 0.1 times 0.2?
0.02
2.1*-0.085
-0.1785
Work out -9 * -0.59.
5.31
What is -16.85 times 5?
-84.25
Multiply 0.89 and 27.
24.03
-0.0486 times -0.5
0.0243
Product of -0.2125 and -0.3.
0.06375
What is -2095 times 0.3?
-628.5
0.2 * 9.04
1.808
What is the product of -7.4756 and 0.5?
-3.7378
Multiply 1 and -0.1657.
-0.1657
What is the product of -0.4 and -0.043?
0.0172
Multiply 0.1145 and 4.
0.458
Product of -79 and 1.1.
-86.9
-23*-5
115
-102.4 * -0.4
40.96
Calculate -43*11.
-473
Multiply -2 and -1068.
2136
8*-2
-16
-1131.2*-0.2
226.24
Multiply 0.5345 and -0.5.
-0.26725
Work out -9 * -436.
3924
Work out 98.7 * 0.2.
19.74
What is 1 times -669?
-669
Product of 0.1 and 0.2933.
0.02933
Calculate -17*1.5.
-25.5
-0.2105 * -0.5
0.10525
0.4 * -0.236
-0.0944
Product of 0.33153 and 0.4.
0.132612
-120 times 2
-240
5 * 5.21
26.05
Calculate -105*6.
-630
Work out -192 * 22.
-4224
What is -4 times -133?
532
-4 times 0.169
-0.676
-6*-2157
12942
Calculate -0.46*3.
-1.38
What is -0.338 times 0.4?
-0.1352
0.05 times 98
4.9
-1 * -1660
1660
What is -15 times -67?
1005
What is 0.3 times 106.3?
31.89
-0.01 * 0.01
-0.0001
-304 * 2.1
-638.4
Work out -2 * -10.
20
Product of 253 and -0.1.
-25.3
Calculate 0.6*0.025.
0.015
Calculate 4*116.8.
467.2
Product of 7 and -0.34.
-2.38
Product of 1.1 and -1023.
-1125.3
-5 times -19.8
99
8.7*0.3
2.61
Product of -2048 and 5.
-10240
Calculate -6*291.
-1746
What is 32 times -83?
-2656
Calculate 25.6*0.5.
12.8
0.5 times -0.3
-0.15
Product of 64 and 0.02.
1.28
Product of 0.016 and 4.
0.064
Calculate 153*-4.
-612
What is 4.7 times 0.4?
1.88
-830 * -0.9
747
Calculate 61*0.9.
54.9
Work out 0.3 * 0.536.
0.1608
-1477*-0.2
295.4
What is 1 times 7.5?
7.5
Product of -128 and -16.
2048
Product of 14.8 and -0.09.
-1.332
Work out -87 * -4.
348
Calculate 1*-0.176.
-0.176
Work out 0.63 * -4.
-2.52
Work out 5 * 0.057.
0.285
0.14 times 22
3.08
What is the product of -2446 and 4?
-9784
What is 0.0056 times -3?
-0.0168
Work out -1 * -36.39.
36.39
-0.1 times -0.113
0.0113
Product of 186 and 0.1.
18.6
77 * -0.4
-30.8
What is the product of -2.4 and -86?
206.4
Calculate 3.5*0.7.
2.45
-1 times -18.6
18.6
1 times -1.39
-1.39
Multiply 0.3 and -37.
-11.1
Work out 0.04218 * -0.3.
-0.012654
Product of -57060 and -0.5.
28530
What is -626 times 5?
-3130
Work out 0 * -0.008.
0
Multiply 1.51 and 5.
7.55
What is the product of 697 and 0.1?
69.7
-0.242 * -5
1.21
Calculate -1*-0.052.
0.052
What is 0.02 times 0.0399?
0.000798
Calculate 1*0.028.
0.028
What is 5 times -75?
-375
What is the product of -0.6 and 24?
-14.4
Calculate -223*1.5.
-334.5
352*-0.26
-91.52
-0.197 times 1.48
-0.29156
Product of 2. | {
"pile_set_name": "DM Mathematics"
} |
418
What is 583 minutes before 1:20 PM?
3:37 AM
How many minutes are there between 5:08 PM and 9:45 PM?
277
What is 132 minutes before 10:23 PM?
8:11 PM
How many minutes are there between 11:14 PM and 5:09 AM?
355
What is 687 minutes before 1:38 PM?
2:11 AM
How many minutes are there between 6:15 PM and 9:02 PM?
167
What is 625 minutes after 8:41 AM?
7:06 PM
How many minutes are there between 6:56 PM and 12:27 AM?
331
How many minutes are there between 2:27 PM and 11:33 PM?
546
How many minutes are there between 12:21 PM and 5:49 PM?
328
How many minutes are there between 7:31 AM and 8:33 AM?
62
How many minutes are there between 11:54 PM and 1:10 AM?
76
How many minutes are there between 2:09 PM and 11:52 PM?
583
How many minutes are there between 7:36 PM and 9:20 PM?
104
How many minutes are there between 7:03 AM and 5:26 PM?
623
What is 35 minutes after 7:53 AM?
8:28 AM
What is 175 minutes after 11:31 PM?
2:26 AM
How many minutes are there between 6:34 AM and 3:54 PM?
560
What is 11 minutes after 2:49 PM?
3:00 PM
How many minutes are there between 11:59 PM and 11:38 AM?
699
How many minutes are there between 2:02 AM and 11:19 AM?
557
How many minutes are there between 9:01 PM and 11:48 PM?
167
What is 444 minutes before 10:36 AM?
3:12 AM
What is 117 minutes after 9:14 PM?
11:11 PM
What is 293 minutes before 4:34 PM?
11:41 AM
What is 706 minutes after 10:16 AM?
10:02 PM
How many minutes are there between 7:13 PM and 5:49 AM?
636
What is 341 minutes after 11:15 AM?
4:56 PM
What is 14 minutes after 9:25 AM?
9:39 AM
What is 439 minutes after 11:30 AM?
6:49 PM
What is 634 minutes after 5:04 AM?
3:38 PM
How many minutes are there between 8:45 PM and 8:54 PM?
9
What is 663 minutes before 9:04 PM?
10:01 AM
How many minutes are there between 4:54 PM and 9:57 PM?
303
How many minutes are there between 7:15 PM and 10:37 PM?
202
How many minutes are there between 9:13 AM and 5:23 PM?
490
How many minutes are there between 4:05 AM and 4:19 AM?
14
How many minutes are there between 6:18 PM and 4:05 AM?
587
How many minutes are there between 5:31 AM and 12:35 PM?
424
How many minutes are there between 1:54 PM and 11:51 PM?
597
What is 416 minutes before 7:50 AM?
12:54 AM
How many minutes are there between 12:44 PM and 6:55 PM?
371
How many minutes are there between 7:28 PM and 8:16 PM?
48
What is 491 minutes before 11:12 AM?
3:01 AM
How many minutes are there between 8:43 AM and 9:37 AM?
54
What is 652 minutes before 2:31 AM?
3:39 PM
What is 184 minutes after 7:56 AM?
11:00 AM
What is 424 minutes before 6:02 PM?
10:58 AM
How many minutes are there between 10:33 PM and 8:28 AM?
595
How many minutes are there between 7:37 PM and 9:52 PM?
135
How many minutes are there between 2:19 PM and 10:53 PM?
514
How many minutes are there between 4:42 PM and 2:54 AM?
612
What is 327 minutes before 8:48 AM?
3:21 AM
What is 432 minutes after 5:16 AM?
12:28 PM
What is 546 minutes after 3:09 PM?
12:15 AM
How many minutes are there between 8:53 PM and 7:45 AM?
652
What is 52 minutes before 11:52 PM?
11:00 PM
What is 501 minutes before 9:15 PM?
12:54 PM
How many minutes are there between 12:40 PM and 12:44 PM?
4
What is 279 minutes before 9:26 PM?
4:47 PM
What is 559 minutes before 3:27 AM?
6:08 PM
What is 474 minutes after 1:11 AM?
9:05 AM
How many minutes are there between 11:27 AM and 11:52 AM?
25
How many minutes are there between 12:08 AM and 1:49 AM?
101
What is 366 minutes after 5:45 PM?
11:51 PM
What is 386 minutes after 11:23 AM?
5:49 PM
How many minutes are there between 1:52 AM and 5:15 AM?
203
What is 186 minutes before 1:07 AM?
10:01 PM
How many minutes are there between 7:11 PM and 9:18 PM?
127
What is 244 minutes after 1:36 AM?
5:40 AM
How many minutes are there between 1:47 PM and 10:15 PM?
508
What is 176 minutes before 5:42 PM?
2:46 PM
What is 406 minutes before 11:02 PM?
4:16 PM
What is 493 minutes before 10:57 AM?
2:44 AM
How many minutes are there between 3:28 AM and 2:43 PM?
675
How many minutes are there between 3:36 AM and 1:08 PM?
572
What is 322 minutes before 10:06 AM?
4:44 AM
How many minutes are there between 8:49 AM and 2:42 PM?
353
What is 67 minutes after 9:14 AM?
10:21 AM
What is 630 minutes before 3:31 AM?
5:01 PM
How many minutes are there between 6:25 PM and 11:28 PM?
303
What is 416 minutes after 1:23 PM?
8:19 PM
What is 303 minutes before 11:40 AM?
6:37 AM
How many minutes are there between 6:35 AM and 5:09 PM?
634
How many minutes are there between 1:04 PM and 1:54 PM?
50
What is 605 minutes after 5:29 AM?
3:34 PM
How many minutes are there between 7:20 AM and 4:05 PM?
525
What is 387 minutes before 3:31 AM?
9:04 PM
How many minutes are there between 4:05 AM and 9:01 AM?
296
What is 89 minutes after 6:25 PM?
7:54 PM
What is 71 minutes after 8:02 AM?
9:13 AM
What is 148 minutes after 12:06 PM?
2:34 PM
What is 689 minutes after 8:03 PM?
7:32 AM
How many minutes are there between 2:46 AM and 2:01 PM?
675
What is 132 minutes before 9:12 PM?
7:00 PM
What is 291 minutes after 4:55 AM?
9:46 AM
How many minutes are there between 9:41 PM and 3:08 AM?
327
What is 472 minutes before 10:17 PM?
2:25 PM
How many minutes are there between 9:08 AM and 4:55 PM?
467
What is 710 minutes before 11:36 PM?
11:46 AM
How many minutes are there between 3:26 PM and 8:39 PM?
313
What is 344 minutes after 2:49 AM?
8:33 AM
How many minutes are there between 8:05 AM and 7:05 PM?
660
What is 96 minutes after 6:34 PM?
8:10 PM
What is 468 minutes before 11:20 AM?
3:32 AM
How many minutes are there between 6:47 AM and 4:58 PM?
611
How many minutes are there between 12:20 AM and 11:42 AM?
682
What is 459 minutes after 8:18 PM?
3:57 AM
How many minutes are there between 4:05 PM and 10:18 PM?
373
How many minutes are there between 11:08 PM and 12:10 AM?
62
How many minutes are there between 3:26 PM and 11:28 PM?
482
What is 376 minutes after 8:22 AM?
2:38 PM
How many minutes are there between 9:06 AM and 3:31 PM?
385
What is 252 minutes before 8:23 AM?
4:11 AM
How many minutes are there between 12:29 AM and 9:13 AM?
524
What is 596 minutes after 8:24 PM?
6:20 AM
What is 624 minutes after 3:46 AM?
2:10 PM
What is 624 minutes after 2:02 PM?
12:26 AM
What is 572 minutes before 8:49 PM?
11:17 AM
What is 503 minutes after 3:34 AM?
11:57 AM
How many minutes are there between 6:21 AM and 2:13 PM?
472
What is 502 minutes before 10:17 PM?
1:55 PM
What is 327 minutes before 8:25 PM?
2:58 PM
What is 530 minutes before 12:32 AM?
3:42 PM
What is 466 minutes after 6:40 AM?
2:26 PM
How many minutes are there between 10:35 PM and 5:47 AM?
432
What is 647 minutes before 12:37 PM?
1:50 AM
How many minutes are there between 11:05 AM and 1:26 PM?
141
How many minutes are there between 11:40 PM and 10:00 AM?
620
How many minutes are there between 5:26 PM and 10:44 PM?
318
What is 675 minutes after 8:47 AM?
8:02 PM
How many minutes are there between 8:11 AM and 7:38 PM?
687
What is 481 minutes before 9:43 AM?
1:42 AM
What is 33 minutes after 8:59 AM?
9:32 AM
What is 661 minutes before 10:20 AM?
11:19 PM
How many minutes are there between 1:58 AM and 6:28 AM?
270
How many minutes are there between 11:59 AM and 2:14 PM?
135
What is 82 minutes after 11:53 AM?
1:15 PM
What is 296 minutes before 12:06 AM?
7:10 PM
What is 641 minutes before 6:10 PM?
7:29 AM
How many minutes are there between 6:08 PM and 4:25 AM?
617
How many minutes are there between 4:23 PM and 3:44 AM?
681
How many minutes are there between 5:49 AM and 9:40 AM?
231
How many minutes are there between 1:46 PM and 7:09 PM?
323
What is 345 minutes before 3:52 AM?
10:07 PM
What is 238 minutes before 6:45 PM?
2:47 PM
What is 149 minutes before 7:42 AM?
5:13 AM
How many minutes are there between 9:22 AM and 11:05 AM?
103
What is 144 minutes after 7:41 PM?
10:05 PM
What is 243 minutes after 10:36 PM?
2:39 AM
What is 639 minutes before 4:50 PM?
6:11 AM
How many minutes are there between 1:24 AM and 11:23 AM?
599
How many minutes are there between 12:01 AM and 8:14 AM?
493
How many minutes are there between 4:48 AM and 6:55 AM?
127
How many minutes are there between 2:37 AM and 5:48 AM?
191
What is 576 minutes after 10:45 PM?
8:21 AM
What is 387 minutes before 12:11 AM?
5:44 PM
How many minutes are there between 5:18 PM and 7:19 PM?
12 | {
"pile_set_name": "DM Mathematics"
} |
factors of v.
2, 53
Suppose -31*l = -28*l - 111. Let k(n) = -l*n - n**3 + 9 + 76*n - 36*n + 11*n**2. What are the prime factors of k(6)?
3, 23
Suppose 0 = -3*q - 4*f + 88, 3*q + 4*f - 68 = 5*f. Let u(d) = d**2 - 25*d + 40. What are the prime factors of u(q)?
2
Let h(r) = 855*r**3 + 2*r**2 + 3*r - 3. Let g be h(1). Let j = g - 441. What are the prime factors of j?
2, 13
Let a = 103 - -802. Suppose 6*g + a = -2035. What are the prime factors of g/7*(-4)/10?
2, 7
Let z(r) = r - 9. Let f be z(12). Suppose 0 = -8*j + f*j + 20. Suppose -2*h = -1 - 7, -j*h = b - 71. List the prime factors of b.
5, 11
Let n(s) = s**2 - 99*s - 5578. List the prime factors of n(-68).
2, 3, 107
Let w be -13 + 19 + (-6)/(-3). Suppose 3012 = w*n - 1340. What are the prime factors of n?
2, 17
Suppose 20958 = 3*r + 2*m - 48292, 5*r = -5*m + 115430. What are the prime factors of r?
2, 11, 1049
Let k(f) = 1975*f**2 - 11*f - 17. What are the prime factors of k(-2)?
3, 5, 17, 31
Let f(r) be the first derivative of 2*r**3/3 + r**2/2 - 5*r - 29. Let h(n) = -4*n**2 - 3*n + 10. Let g(o) = -7*f(o) - 4*h(o). List the prime factors of g(8).
163
Let u(c) = 17*c**2 + 66*c. Let t be u(-4). Suppose -3499 = -t*a + 8813. List the prime factors of a.
3, 19
Let n be 5/(-3) + (-4)/(-6) + 5. Suppose -2*o - 72 = 3*l - 248, n*o = -5*l + 350. What are the prime factors of o?
5, 17
Let r(d) = -2377*d - 1434. List the prime factors of r(-14).
2, 19, 419
Suppose 4*n - 44 + 8 = 0. Suppose 7*d - n*d + 32 = 0. Suppose 0 = d*c - 10*c - 324. What are the prime factors of c?
2, 3
Let q = -261 + 264. Suppose 3*a + z = 1613, 3*a + q*z - 6*z - 1617 = 0. List the prime factors of a.
2, 269
Suppose 14*w - 64245 = 41133. What are the prime factors of w?
3, 13, 193
Let g(i) = 1986*i - 1021. List the prime factors of g(2).
13, 227
Let f(b) = 10*b - 2. Let n be f(-4). Let v be 22/(-3) + 2/6. What are the prime factors of 566/12 - v/n?
47
Let l(p) be the third derivative of -2*p**4 - 4*p**2 + 10*p**2 - 21*p + 21*p. List the prime factors of l(-1).
2, 3
Let x(w) = -2*w**2 - 17*w + 7. Let y be x(-7). List the prime factors of 5788/y + (-38)/(-133).
3, 23
Suppose 5*s = -935 + 1025. What are the prime factors of ((-3)/(s/2913))/(2/(-4))?
971
Let u = -3 - -15. Suppose -u*y = -9 + 45. List the prime factors of (-14)/(y - 34/(-12)).
2, 3, 7
Let b = -447 + 449. Suppose 4*s = 3*n - 3927, 5*n - b*s - 3*s - 6545 = 0. What are the prime factors of n?
7, 11, 17
Suppose -104*p = -228*p + 1750260. List the prime factors of p.
3, 5, 941
Let o = 50 + -25. Let m = o + -15. Suppose m*c = 376 + 984. What are the prime factors of c?
2, 17
Let s = 2301 - 1244. Let r = s - -106. What are the prime factors of r?
1163
Let y = 223 - 233. What are the prime factors of -2 + y/(-5) + 522 + 4?
2, 263
Suppose 6*t = -5*t + 8173. Let s = t + -474. List the prime factors of s.
269
Suppose -8*i + 170272 = 4*n, 2*i - 4*n - 44932 = -2364. What are the prime factors of i?
2, 17, 313
Let y(m) = 59*m**2 - m - 4. Let q be y(-2). Let a = q + 285. What are the prime factors of a?
3, 173
Let t be ((-2)/4)/(0 - (-8)/(-80)). Suppose 2*n = t*s - 2, 0 = -4*s + 5*n - 4*n + 4. Suppose -6 = -3*d, 2*d = 5*x - s*d - 1237. List the prime factors of x.
3, 83
Let n(w) = 3*w**2 + 184*w - 170. List the prime factors of n(-82).
2, 3, 7, 13
Let j(p) = 122*p - 43. What are the prime factors of j(14)?
3, 5, 37
Suppose -a + 1068 = 68. Suppose -13*s + 17 - 30 = 0. List the prime factors of 3 - s - a/(-8).
3, 43
Let c = 540 - 535. Let z(g) = 23*g**2 - 9*g + 10. List the prime factors of z(c).
2, 3, 5
Suppose -801719 = -161*j + 984254. List the prime factors of j.
11093
What are the prime factors of 3/(-1) + ((-2)/18 - (-83592757)/1467)?
3, 13, 487
Let v be (-4)/(-2) + 2 - -198. Suppose 0 = v*f - 196*f - 2274. What are the prime factors of f?
379
List the prime factors of (-4)/(-34) - ((-804545)/119 + -1).
2, 3, 7, 23
Suppose 49452 = t - 114*u + 111*u, 0 = -3*u + 15. List the prime factors of t.
3, 11, 1499
Suppose -7 + 25 = 3*h. Suppose 4*a = 3*u, u = h*a - a. Suppose u = -5*w + w + 268. What are the prime factors of w?
67
Let q(n) = 2067*n**2 - n + 10. What are the prime factors of q(-2)?
2, 3, 5, 23
Let m be -4 - (3 - 0 - -174). Let l = m + 279. What are the prime factors of l?
2, 7
Let a = 158 - 193. Let y = a + 534. What are the prime factors of y?
499
What are the prime factors of (33 + -29)/(4/8683)?
19, 457
Suppose -8*i + 13*i = 20. Let v(c) = 14*c**2 - 3*c - 3. Let r(j) = -5*j**2 + j + 1. Let k(x) = 11*r(x) + 4*v(x). List the prime factors of k(i).
11
Let m(j) = -109*j - 4886. List the prime factors of m(-117).
7867
Suppose 0*s + 4*s + 2 = 2*a, 4*s + 11 = 5*a. Suppose 2*o = -w - 12, -o + a = -2*w - 31. Let k(m) = m**3 + 15*m**2 - 18*m - 3. List the prime factors of k(w).
29
Let p(d) = 8*d - 25. Let n be 97/11 - 22/(-121). Let h be p(n). What are the prime factors of h - -3*2/3?
7
What are the prime factors of (-606298)/(-70) - (-5 + (-108)/(-20))?
3, 2887
Suppose -144*s = -145*s + 5*l + 28892, -8*l - 144545 = -5*s. What are the prime factors of s?
3, 7, 17
Let a(q) = -3*q**2 + 23*q + 11. Let c be a(8). Suppose 30 = -c*t + 8*t. Suppose -259 = -t*w + 203. List the prime factors of w.
7, 11
Let d(c) = c**3 + 22*c**2 + 41*c + 23. Let g be d(-20). Suppose g*n + j = 2*j + 241, j - 2 = 0. What are the prime factors of n?
3
What are the prime factors of (-360)/(-225) - (-274434)/5*4/8?
5, 11, 499
Let z(a) = 2*a**2 + 11*a - 1. Let d be z(-6). Suppose 4*j = -d*j. Suppose 5*r - 463 = -3*s - j*s, -s = r - 91. List the prime factors of r.
5, 19
Let p(g) be the first derivative of 3/2*g**2 + 2*g + 1 + 15/4*g**4 + 0*g**3. List the prime factors of p(2).
2
Let n = -330 - -156. Let l = 29 - 39. What are the prime factors of (6/l + 16/(-40))*n?
2, 3, 29
Suppose 0 = -j, 411*h - 11205 = 410*h - 4*j. List the prime factors of h.
3, 5, 83
Let m be (3 + 0)*(-40)/(-3). Let r = m + -37. Suppose 3*v - g = 180, 5*v - 130 - 166 = r*g. List the prime factors of v.
61
Let b = 5482 + 16080. What are the prime factors of b?
2, 10781
Suppose -3*i = -3*a + 57216, -2*a - 17805 = -i - 55944. List the prime factors of a.
23, 829
Let q(h) = 21 - 11*h + 40*h + 30 + h**2 - 2*h**2. What are the prime factors of q(14)?
3, 29
What are the prime factors of 4/(-106) + 13323180/1060?
12569
Let l be (-145)/(-2)*(-19 + 21). Let y = 164 - l. List the prime factors of y.
19
Let a be (-4)/(-3)*(-6)/(-16)*4. Let g be 1 - -2*a/1. Suppose 2*k = -2*m - 22 + 340, g*m = k - 183. List the prime factors of k.
163
Let o = 667 - 605. List the prime factors of o/62 - 1*-1070.
3, 7, 17
Suppose 1760 = -4*t - 5*r + 7142, -t = -2*r - 1339. Suppose 8*c = 8639 - t. List the prime factors of c.
2, 3, 19
Suppose -167 = -6*f + 151. Suppose 0 = -i + 4*x - 19, -4*i = -0*x - x + 91. Let v = f + i. List the prime factors of v.
2, 3, 5
Let n = 44 - 64. Let q = 71 + n. Let m = q - 36. What are the prime factors of m?
3, 5
Let u = -16 - 1. Let n = 17 + u. What are the prime factors of n + -6*9/(-2)?
3
Suppose 0 = -42*s + 138884 + 206272. List the prime factors of s.
2, 7, 587
Let o = 126 - 168. What are the prime factors of ((111/9)/(-1))/(7/o)?
2, 37
Suppose -16*k + 645 = -k. Let y = k - -131. What are the prime factors of y?
2, 3, 29
Let v(d) be the first derivative of -d**4/4 - 2*d**3 - d**2 - 80*d + 140. What are the prime factors of v(-12)?
2, 101
Suppose -67 = 2*y + 3*a, -2*y - 90 = 2*a - 26. Let b(x) = -2*x**2 - 111*x + 29. List the prime factors of b(y).
2, 3, 29
Let h = -301 - -306. Suppose 5*m - 27 = -2*n + 10, h*n = 5. What are the prime factors of m?
7
Suppose 5*j + 5608 = 4*r, 3*r = 8*r - 2*j - 7010. List the prime factors of r.
2, 701
Let w = 10217 - 3620. List the prime factors of w.
3, 733
Suppose -237*c = -250*c + 816006 + 41240. List the prime factors of c.
2, 32971
Let f = 80 + -91. Let s(m) = 305*m - 35. Let y be s(f). List the prime factors of (-2)/13 - y/65.
2, 13
Let h(t) = -760*t - 4947. List the prime factors of h(-16).
7213
Let g(v) = 389*v**2 + 139*v - 1304. What are the prime factors of g(8)?
2, 193
Let b = 2448 + -887. List the prime factors of b.
7, 223
Let g = -146 - -151. Suppose 4*r - g*j - 1860 - 523 = 0, -3*j - 1193 = -2*r. List the prime factors of r.
2, 37
Suppose 2394*b - 2382*b - 30720 = 0. What are the p | {
"pile_set_name": "DM Mathematics"
} |
lve 10 = -m*i - f for i.
-4
Suppose -9 = -s - 4*f + 7, 2*s - f = 14. Suppose s*t = 6*t + 12. Solve 2*v = -0*v + t for v.
3
Let d be 23 + (0 - 0 - -2). Suppose -4*p = v - 11, 3*p + 3*v = 8 - 2. Solve 2*y + d = -p*y for y.
-5
Let z be 2/(-1) - (3 + -5). Suppose l + 10 = -z*l. Let f be (-25)/l + (-1)/2. Solve -f*x + 3 = 5 for x.
-1
Suppose 0 = -47*h + 42*h + 45. Solve -3*t - 24 = -h for t.
-5
Let s be 34/9 - (-4)/18. Solve s*i + 10 = 2*i for i.
-5
Let n be (-56)/(-6)*(-2 - -5). Let j be 704/n - (-4)/(-28). Solve r - 6*r = -j for r.
5
Let g be 1/(-2 + (-39)/(-18)). Suppose 0 = -g*h + 3*h. Solve h = 5*c - 5 for c.
1
Let r = 41 + -39. Solve 0 = -3*v + r*v for v.
0
Suppose -7*s = -2*s. Let z be (s - -3)*32/12. Solve 4*x - 2*x + z = 0 for x.
-4
Suppose 0 = 3*s, 3*g + 2*s = -2*s + 9. Solve p + g = -0*p for p.
-3
Suppose -2*x = -4*x. Let j(r) = r - 9. Let b be j(12). Solve x = -l - b + 2 for l.
-1
Suppose 2*l + 3*l = 3*h - 25, -28 = -4*h + 4*l. Suppose 3*m = h*m. Solve -5*n = -m*n + 10 for n.
-2
Let g = 87 + -82. Solve 0 = 2*z - 7*z + g for z.
1
Let u = -38 + 43. Solve u*c = c for c.
0
Let l = 11 + -4. Solve l*v - 4*v + 3 = 0 for v.
-1
Let k be (-16)/(-10)*(-5)/(-2). Solve -k*l + 0*l = 0 for l.
0
Let x(u) = u + 8. Let t be x(-8). Solve -a + 1 = -t for a.
1
Suppose 2*y = 4*c - 50, -4*c + y = -5*c + 11. Solve 5*l - l = c for l.
3
Let n(j) = 7*j - 13. Let x be n(5). Solve 0 = -5*c + 3 + x for c.
5
Let n(k) = -k**3 - k**2 - k - 2. Let w be n(-2). Let i = 7 - w. Suppose -5*d + 2 = 2*p, 2 = -d - p + i*p. Solve 0 = 5*t - d*t + 20 for t.
-4
Suppose -q + 1 = 3*i, -2*q = 2*i + 4 - 2. Solve w = i - 4 for w.
-3
Let c be (2 - 1)*(-8 + 5). Let k be c/3 + 1 + 2. Solve k*v = -v - 12 for v.
-4
Suppose 5*u - 9*u = -12. Suppose u*f = -4*q + 50, 5 = 2*f - 4*f + 5*q. Let p = -8 - -12. Solve -x + f = p*x for x.
2
Suppose -2*a - 1 = -5. Suppose -32 = -5*x + x. Suppose 0 = -2*r - 3*l + x, a*r - r = 5*l - 9. Solve r - 4 = 3*d for d.
-1
Let b(y) = -2*y**2 - y + 2. Let c be b(0). Solve -13 - c = 5*w for w.
-3
Let n = 4 + 0. Let o(a) = a. Let m be o(n). Solve -m = -4*p - 0 for p.
1
Suppose 4*y = -m + 14, -1 + 3 = -2*m + 2*y. Suppose 43 = m*j + 1. Suppose -5*q + j = -4. Solve q*b - 4 + 29 = 0 for b.
-5
Suppose -20 = -4*t + 5*a, -t + 4*a = -3 - 13. Let k = 0 - t. Solve k = -s - 2*s - 12 for s.
-4
Let v(n) = 3*n - 2*n + 2 - 1. Let b be v(1). Solve -2*l + 4 = b*l for l.
1
Let y be 3/(-6)*(1 - 3)*2. Solve 12 = 6*i - y*i for i.
3
Let k(y) = -y + 0*y**2 + 6*y**2 - 3*y**2 - 4*y**2 - 10. Let c be k(0). Let s be 2/(c/(-8) + -1). Solve -m = 3*m + s for m.
-2
Suppose 5*i - 9*i = 0. Solve i = 2*q + 2*q for q.
0
Let w be 6/(-1 - 15/(-6)). Let v be 2/8 - (-63)/w. Suppose l = 5*l - v. Solve -c = -l*c for c.
0
Let i(x) = x + 7. Let h be i(-7). Suppose h = -6*s + 11*s. Solve -2*r + s*r + 6 = 0 for r.
3
Let b = -31 + 36. Solve b + 7 = 3*c for c.
4
Let a(m) be the third derivative of -m**6/120 - m**5/20 + 5*m**4/24 + m**3/3 + 2*m**2. Let h be a(-4). Let x be (1 - (-3)/h)*-2. Solve 0*p + p = -x for p.
-1
Suppose -2*s + 4 + 2 = 0. Solve 1 = -s*v + 2*v for v.
-1
Let g(d) = -d**3 - 2*d**2 + d + 2. Let h be g(-1). Solve h*n = 2*n for n.
0
Let a = 4 + -3. Suppose n + 2 = -a. Let t be 6/(2/((-4)/n)). Solve 0 = o + t*o - 5 for o.
1
Let l(h) = -h**3 - h**2 + h. Let t be l(-2). Let w be 4/14 + (-16)/56. Suppose w = 3*z - 2 - 13. Solve -1 - z = -t*j for j.
3
Let l be (-2 - 0)/((-20)/30). Solve 0 = -5*x - l + 13 for x.
2
Suppose 2*t = -5 - 7. Let y be 1/(-2) - 21/t. Solve 6 = -y*x - 3 for x.
-3
Suppose -m + 5*m = 2*l + 12, 3*l = 2*m - 2. Solve l*n - 1 = 1 for n.
1
Let d be (-9)/((-9)/3) + 12. Solve d = -2*v + 5 for v.
-5
Let l(q) be the third derivative of -q**6/120 - q**5/60 + q**4/12 + q**3/3 - 2*q**2. Let w be l(-2). Suppose -8 = -2*c - w. Solve 0 = c*m + m - 8 for m.
2
Suppose -n + 6 = -1. Let m = n - 0. Let d be 218/11 + (-2)/(-11). Solve m*j = 2*j + d for j.
4
Let h be 0/((7 - 3) + -7). Suppose 70 = 3*d + 4*j, -5*j + 27 = d - 0*d. Suppose 6*o - 3*o + 24 = 5*n, -5*n = -4*o - d. Solve h = z + 1 - n for z.
5
Suppose 5*r - 3*r = 0. Suppose -5*z + r*z + 15 = 0. Solve 0 = -z*y - y - 8 for y.
-2
Let a be -4 - -2 - (1 - -1). Let t be 8 - (0 + (-2 - a)). Solve f - 4*f = -t for f.
2
Let z be (-24)/(-16) - 6/(-4). Let d(g) = -3*g**3 - g**2 - 2*g - 1. Let c be d(-1). Let r = c + 2. Solve 0 = -z*u + 1 + r for u.
2
Let u(t) = -3*t + 12. Let m be u(-8). Let i be (-5 - -2)*(-4)/6. Let y be i/9 + (-8)/m. Solve y*n - 12 = 4*n for n.
-3
Suppose 0 = 5*g - 2*g - 6. Suppose r - 11 = -5*p + 3, -g*r + 14 = 3*p. Solve -2*o - 12 = -p for o.
-5
Let a(x) = x**2 - 3*x + 6. Let o be a(5). Solve o = 5*k + 1 for k.
3
Suppose 0*w = 4*w - 4*q - 8, -3*w = q - 22. Solve -14 = -5*g + w for g.
4
Suppose -5*h + 0 + 25 = 0. Let f(m) = -5*m - 2. Let l be f(-6). Suppose i = h, -d - 4*i + i = -l. Solve d = 4*s - 3 for s.
4
Let y(o) = o - 3. Let a be y(7). Let h(u) = -u**2 + 5*u + 2. Let w be h(a). Solve -2*d = -w*d for d.
0
Suppose 12 = -11*t + 9*t. Let n be 6 - -3*t/9. Solve -2*w = -0*w + n for w.
-2
Let y = -85 - -87. Solve y*z - 3 - 1 = 0 for z.
2
Let o(u) = u**3 + 3*u**2 + 2*u + 3. Let h be o(-2). Suppose 2*b = 3*b - 27. Suppose -5*g + b - 7 = 0. Solve -g = -x - h*x for x.
1
Let t = 6 + -5. Solve -2*w + t = -1 for w.
1
Let u be 5/(-1) + (0 - 2). Let z be (2 - 1) + -11 - -4. Let b = z - u. Solve 14 + b = -5*x for x.
-3
Suppose -20 = -5*p, -3*p + 13 = i - 5*p. Suppose 4*q = -2*l + 88, l + q = 21 + i. Suppose 4*x - l = -s, -x - s + 10 = 3*s. Solve -2*o = -0*o - x for o.
5
Suppose 2 = w - 0. Suppose -3*x = -4 - 5. Let j = -1 + x. Solve j*n + w = -4 for n.
-3
Let u(g) = 7*g + 16. Let z be u(-2). Solve -z = 4*j - 14 for j.
3
Suppose 0 = 3*x + x - 60. Suppose 0 = 4*i + 4*v - 36, -i - x = -5*v + 6. Solve i*n + 0 = -4 for n.
-1
Let o(i) = i - 3. Let p be o(5). Suppose -9 = -3*h, 2 + 3 = -p*z + 3*h. Suppose -f + 15 = -0*f. Solve 5*g - f = z*g for g.
5
Let p be (-4 + 0)/(1/(-2)). Suppose 15 + 1 = 4*y. Suppose -5*q + 3 = u, -q + 4*u - 12 = y*q. Solve q = -a - a + p for a.
4
Suppose 5*w = -11 + 26. Let j = 23 + -11. Let h = 0 - 0. Solve -5*n - w - j = h for n.
-3
Let p be ((-11)/33)/(1/(-9)). Solve p*d = 1 - 10 for d.
-3
Let q(f) = -f**3 - 21*f**2 + 22*f + 5. Let l be q(-22). Solve 0 = -3*s - l + 20 for s.
5
Let k(t) = 6*t**2 - t - 1. Let n be k(1). Solve 2 = -n*i - 10 for i.
-3
Suppose -3*v - 3 = -3*n, 5*n - 4*v - 10 + 2 = 0. Suppose 1 + n = d. Solve -d*r + 3*r = 8 for r.
-4
Suppose -2*u - 2 = -c, u - 10 = -0*u - 5*c. Solve 2*z + u*z = -8 for z.
-4
Let t = 74 - 398. Let l be 1/4 + t/(-48). Solve -3 - l = -2*j for j.
5
Let g(w) = -2*w**3 - 4*w**2 - 2*w. Let k be g(-2). Solve -4 = -k*y - 0 for y.
1
Suppose -10 = -4*x + 6. Solve x = -5*k - 6 for k.
-2
Let b = 0 - 5. Let k = -4 - b. Solve -k = 3*d + 2 for d.
-1
Let g(d) = -d**2 + 6*d - 3. Let k be -1*(4 + -3 + -3). Let l be g(k). Suppose -p = -3*i - 4, l*p - 11 - 9 = 2*i. Solve 4*s + 14 + 2 = i for s.
-4
Suppose -2*y = v - 10, -y = -2*v - 1 - 4. Solve u = -v*u - 2 for u.
-2
Suppose -2*v - a + 3 = 0, -3*v - 4*a + 7*a = -18. Let o be -1 + 9/(-2)*2. Let u be (o/2)/(2/(-6)). Solve 0*r - v*r + u = 0 for r.
5
Suppose -3*a - 5 = -5*h + a, -h + 3*a - 10 = 0. Solve -h*q = -2*q + 6 for q.
-2
Suppose -3*h = -o - 4*h + 5, 0 = 5*o - 3*h - 57. Solve o*l = 10*l - 4 for l.
4
Let y be 0/(-2) - (-4 - -6). Let b be (-6)/(-4)*(-4)/y. Solve -2*m + 4 = -b*m for m.
-4
Suppose 0*s = 4*s - 120. Let o be ((-8)/6)/(4/s). Let h = o + 18. Solve -h = 5*k - k for k.
-2
Let t(u) = u**3 + 4*u**2 + u - 3. Let n be t(-2). Solve -n*z = -8*z - 5 for z.
-1
Suppose 0 = -3*u + 5*c + 6, 2*c + 1 = -4*u + 9. Solve -u*r + 0 = -6 for r.
3
Suppose 0 = -3*c - 5*a + 3 - 13, c = -5*a - 10. Suppose c = -2*g + n + 1, -2*g + 2*n = -g + 7. Solve -g*s + 2 = -4 for s.
2
Suppose 4*l + 1 = 13. Suppose 5*b - 2*d + 7*d = 40, -4*b - 5*d + 36 = 0. Suppose -l*m - h = -2*h - 17, b*m = -4*h - 4. Solve 0 = m*y - 3*y - 3 for y.
3
Let r(q) be the second derivative of q**6/90 + q**5/120 - q**4/3 - 4*q. Let w(k) be the third derivative of r(k). Let n be w(1). Solve n = 3*f - 6*f for f.
-3
Suppose 0 = 4*u - 6 - 14. Solve -u*i = -0*i + 15 for i.
-3
Let h be 1*6/4*4. Solve -k + 25 = -h*k for k.
-5
Suppose 2*x - 2*k = 16, -2*x - 4*k + 19 + 21 = 0. Solve -o - 3*o = x for o.
-3
| {
"pile_set_name": "DM Mathematics"
} |
*(-6)/(-18))*3
3/11
((-10)/(480/66))/((-5)/40)
11
Evaluate (3/((-3)/2*1))/(239/2390).
-20
Evaluate -4*((-2035)/(-88))/37.
-5/2
(682/44)/(-31)*55/5
-11/2
Calculate ((-15)/(-160)*-8)/(135/252).
-7/5
2*(-4)/(-14)*(-945)/(-2970)
2/11
Evaluate 3/15*-6*2995/(-7188).
1/2
What is the value of -1*9/(-63)*6/(-18)?
-1/21
Evaluate (-7)/((-1743)/830)*-3*(-2)/(-1).
-20
What is the value of 22/13*(-11128)/(-6848)?
11/4
Calculate 3/(65/(-13)*18/(-210)).
7
What is the value of ((240/25)/6)/((-15)/(-225)*-6)?
-4
-2*2*(-5)/420
1/21
((-172)/(-387)*24/32)/((-28)/3)
-1/28
What is the value of (450/(-15))/((-2)/(-5)*5)?
-15
Evaluate ((27/(-10))/(-1))/((-3)/(-180)*36).
9/2
What is the value of ((-4)/7*2534/2896)/(1/38)?
-19
Calculate ((-15)/(-60))/(4/(-64)*4/(-8)).
8
What is ((-46)/(-322))/(33/(-154))?
-2/3
Calculate -5*87/(-21025)*-29.
-3/5
Evaluate 3*(-1)/(-1)*(2204/57)/58.
2
(693/308)/((-2)/(-8))
9
What is ((-18)/10)/(4389/2090)?
-6/7
Calculate ((-2)/(-20))/(315/(-1260)).
-2/5
Calculate ((2/3)/((-40)/84))/1.
-7/5
What is the value of 1806/387*18/(-21)*42/6?
-28
15/330*-24*528/(-32)
18
Evaluate (1/(-20))/((41/164)/(10/8)).
-1/4
What is the value of ((-418)/(-627))/(-1*3/54)?
-12
Evaluate ((-6)/7)/(306/(-378)*3).
6/17
Evaluate (9*(-4)/(-300))/((150/4)/(-25)).
-2/25
What is ((-285)/90)/((-15)/18*(-4)/(-20))?
19
What is the value of 1316/(-564)*(-120)/(-14)?
-20
What is the value of (5*9/45)/(2/(-18))*-1?
9
Evaluate (-351)/2340*60/72.
-1/8
(128/40)/(-2)*(-7)/56
1/5
Calculate (280/3)/35*6/(-152).
-2/19
Calculate (5/(-10))/(26/104).
-2
Evaluate (-783)/348*2/3.
-3/2
What is the value of (-1971)/(-1095)*(-3)/(27/120)?
-24
What is the value of (-6)/(((-476)/98)/17)?
21
Calculate -2*(48/880)/(2/(-20)*2).
6/11
What is (6/(-48)*8)/(1*-33)?
1/33
What is the value of (6/(-210)*-10)/((-115)/115)?
-2/7
Calculate (-45*(-114)/2565)/((-4)/46).
-23
What is the value of 42/(-51)*(-272)/(-160)*-10?
14
What is -60*2/4*((-30)/5)/(-18)?
-10
What is (-20)/(-88)*(-10)/175*28?
-4/11
Evaluate (-13)/416*28*-8.
7
What is 5/(-2)*(-1542)/(-2570)?
-3/2
1/(4/2)*(36/9)/8
1/4
Calculate 21/(-14)*(-1188)/81.
22
Calculate ((-23)/(897/(-104)))/(96/36).
1
Evaluate (40/(-6))/(264/(-792)).
20
Evaluate (12/(-374))/((-1039)/11429).
6/17
Calculate (-1)/((-12)/15)*(-52)/(-1690)*91.
7/2
What is ((-41)/18204*-37)/(-1*(-1)/(-10))?
-5/6
((-10)/1)/5*(-51)/(-2958)
-1/29
2/14*1365/(-130)
-3/2
What is the value of 46/(-2530)*-22*270/(-3)?
-36
What is the value of (-14)/8*(-1480)/3885?
2/3
What is 54/45*130/(-39)?
-4
Calculate 232/29*56/64.
7
What is the value of (((-1215)/18)/(-15))/(75/350)?
21
Calculate -4*5/(-120)*(-1504)/(-47).
16/3
Evaluate 2/(((-28)/49)/4)*(-8)/14.
8
What is (-2)/(-9)*270/2250?
2/75
-3*(-4)/2*24/16
9
Calculate (1/3)/((-8)/16*(-6)/45).
5
Calculate ((-20)/(6160/66))/((-4)/(-14)).
-3/4
What is the value of (9/156)/((-69)/368)?
-4/13
(-12)/(-18)*-1*2*12/(-112)
1/7
What is 2/4*288/8*6/(-12)?
-9
Evaluate (2/68)/((1820/(-240))/(-91)).
6/17
Evaluate ((-50)/(-75))/((-15)/(-1)).
2/45
(-59)/((-649)/242)*(-1)/2
-11
Calculate 2272/(-1704)*1*30/(-4).
10
Evaluate (72/252)/(-1*(-56)/(-245)).
-5/4
Evaluate -5*(18/(-60))/(2/36*3).
9
Calculate (262/(-655))/(43/(-10)*4*1).
1/43
((-1458)/(-8262))/((-6)/(-2)*(-1)/2)
-2/17
Calculate ((-8)/30)/((648/378)/(10/(-14))).
1/9
What is (-81)/837*(-4)/(-6)?
-2/31
What is the value of ((-47628)/(-1944))/(14/8)?
14
Evaluate (-54)/(-396)*2*8/6.
4/11
What is (-31)/(3534/2090)*3/(-5)?
11
30/110*18/27
2/11
Calculate ((-5264)/1222)/(12/(-78)).
28
((-24)/70)/((-132)/495*3)
3/7
(-4)/10*(-2445)/(-2282)
-3/7
What is (10/35)/(45/(-630))?
-4
What is the value of 36/76*(-48)/216?
-2/19
Evaluate ((-2)/27)/(912/2052).
-1/6
What is the value of (4/50)/(41184/26400)?
2/39
((-206)/309)/(2*(-2)/96)
16
Calculate (4/(-2))/(7*816/(-168)).
1/17
What is (3/7)/(73*(-216)/(-73584))?
2
Evaluate (42/((-2)/1))/(-21*9/126).
14
Evaluate (-2)/11*15/(-30)*20.
20/11
What is the value of (1209/(-117))/(-31)*-3*2?
-2
Calculate 3/6*2/3*35/35.
1/3
What is (20/(-35))/(-6*(-15)/350*-10)?
2/9
What is -7*((-864)/63)/(-8)?
-12
What is the value of (-1)/3*-10*70/(22050/(-2457))?
-26
Evaluate 13/(52/2)*5*4.
10
(-1599)/1066*(-17)/9
17/6
(3/2*1*-2)/(152/(-456))
9
What is the value of 4/(-18)*9*8/((-32)/(-6))?
-3
What is the value of -2*((21/14)/3)/(3/(-42))?
14
Calculate 1250/(-25)*(-4)/(-140)*-2.
20/7
Evaluate ((-2)/(-2))/((16/4)/52).
13
Calculate -1*6*7/(-3)*(-144)/224.
-9
Evaluate 55/(-22)*(2/4)/((-75)/(-840)).
-14
What is (1647/(-732))/((-9)/10)?
5/2
(6/30)/((-4)/192*-6)
8/5
Evaluate -4*(-21)/(630/40)*-3.
-16
What is the value of 0*((-208)/(-80))/13?
0
(((-12)/(-4))/(-261))/(-11*(-9)/594)
-2/29
((-184)/(-230))/(28/10)
2/7
Evaluate ((-228)/(-855))/((-42)/15).
-2/21
What is (4617/(-18))/(-57)*-6?
-27
((27/(-6))/(-1))/(3/12*2)
9
What is ((-144)/(-24))/((-10)/8*15/(-25))?
8
((18/(-3))/((-52)/13))/((-2)/8)
-6
What is 195/52*2*308/70?
33
Evaluate 2124/(-27258)*(-7)/15.
2/55
(((-273)/28)/13)/((-3)/28)
7
(72/90)/(2/((975/3)/(-5)))
-26
What is 2/5*385/2464?
1/16
What is the value of (3/(-9))/(((-20)/(-160))/(27/(-36)))?
2
What is the value of (-16)/(-16)*((-120)/(-32))/15?
1/4
What is (-10)/5*(-35)/15*-3?
-14
(-1370)/959*(-84)/(-10)
-12
Calculate 18/(2/(20/(-10))*(-9)/6).
12
Evaluate ((-31)/(465/18))/(111/740).
-8
Calculate (63945/270)/(-29)*(-8)/14.
14/3
Evaluate 2695/(-2310)*12/147.
-2/21
(-4)/(5*(-14)/(-105))
-6
What is the value of (-8)/84*(-8512)/(-456)?
-16/9
Evaluate ((2*(-9)/(-9))/2)/(-34).
-1/34
(-2)/(1360/8)*-10
2/17
What is (-160)/(-90)*12/(-8)*9/(-6)?
4
What is the value of (((-18)/9)/((-10)/(-6)))/((-18)/(-60))?
-4
What is (6/20)/((10/(-5))/(24/6))?
-3/5
Calculate (4/6*1)/(-1)*(-5544)/3080.
6/5
(8/(-48))/(176/44)
-1/24
(45/150)/(5*38/475)
3/4
Evaluate 62/(-2)*156/(-4836).
1
What is the value of 7/35*-5*(-13)/((-52)/24)?
-6
What is the value of (-6)/(((-108)/(-405))/(4/6))?
-15
(-63)/18*24/(78/(-13))
14
Calculate -8*29/(-8120)*-20.
-4/7
Calculate 198/(-15)*50/(-30).
22
Calculate (140/(-56))/((-15)/(-78)).
-13
-1*4*13/52*-3
3
(-14)/((-168)/60)*8/4
10
Calculate 11/(-418)*(2/(-5))/(9/(-45)).
-1/19
What is the value of 30/(-3)*(-7)/(-21)*15/(-175)?
2/7
What is (1/(-12)*-3)/(3*(-2)/312)?
-13
Calculate (11*(-1)/(-4))/((-64)/((-3072)/12)).
11
What is the value of ((-12)/(-22))/(384/11264)?
16
Evaluate ((-4)/(6/3))/(2/28*4).
-7
(((-76)/27)/19)/((-3)/(-45)*2)
-10/9
What is the value of 42/(-108)*((-1680)/(-49))/(-16)?
5/6
Evaluate 3/(-4)*6912/(-127008).
2/49
What is the value of (((-52)/(-8))/(18/12))/(2/(-6))?
-13
Evaluate ((-2*(-1)/(-2))/(26/494))/1.
-19
(-1)/(162/((-144)/(-8)))
-1/9
(((-3)/(-4))/(-3))/(11*15/(-1320))
2
20/60*5/(-5)*72/2
-12
Evaluate -1*-1*27/108.
1/4
Evaluate (-45)/(-45)*46/(-2).
-23
Evaluate 100/128*-4*8.
-25
Evaluate 2023/578*(-48)/(-14).
12
Calculate ((-1)/(-14)*4*8)/(400/1400).
8
Calculate (((-27)/(-20))/9)/(5*(-15)/(-40)).
2/25
What is (5/(((-2)/28)/(250/875)))/(-1)?
20
What is 33/15*32/128*-4?
-11/5
(6/45)/(-28*16/192)
-2/35
Calculate (((-2)/(-3))/(-2))/((-24)/(-24)).
-1/3
Calculate ((22/(-561)*6)/2)/((-1)/1).
2/17
(-3609)/(-1604)*-1*(-1)/(-3)
-3/4
What is the value of ((-7)/((-21)/2))/((-1)/((-108)/6))?
12
Calculate 6/16*(-352)/(-440).
3/10
Calculate (-1302)/(-465)*(-12)/(-7).
24/5
What is -6*244/549*1*3/2?
-4
What is (54/(-9))/((-11)/660*-18)?
-20
Evaluate 6*((-1)/(-15))/(((-90)/(-9))/(-30)).
-6/5
What is the value of ((-19)/3)/(34/12*58/986)?
-38
What is the value of (17/((-255)/36))/(13/65)?
-12
What is ((7/(-10))/((-31)/(-186)))/(48/(-320))?
28
What is the value of ((-2)/(2/3))/((-3)/80*5)?
16
(120/(-40))/((-2)/(-1)*(-66)/24)
6/11
Evaluate (324/90)/6*40/28.
6/7
What is (-516)/(-1505)*(-30)/36?
-2/7
Evaluate 1212/(-5454)*9*6.
-12
What is 6/((-126)/4704*-32)?
7
Evaluate 3*2*1262/(-1893).
-4
What is ((-2)/(-16))/((-33)/36)?
-3/22
(12/(-10))/(-6)*5
1
What is ((-6)/4)/(95/(-285))*-6?
-27
Calculate (-14)/42*-45*(-6)/510.
-3/17
(-22)/36*220/(-4840)*1*-4
-1/9
What is the value of ((-1)/7)/(50/300)?
-6/7
What is (7/(-14))/(38/228)?
-3
Calculate (-12)/(8/2)*(12/90)/2.
-1/5
What is the value of (36/1)/(120/(-36)*(-9)/15)?
18
What is ((-16)/(-8))/(2*((-2)/2)/1)?
-1
What is (((-57)/190)/((-3)/4))/(1377/(-1215))?
-6/17
Evaluate (2/7*(-8)/4)/((-95)/133).
4/5
(-6)/120*4*-20
4
What is the value of 14/(-21)*1 | {
"pile_set_name": "DM Mathematics"
} |
iggest value in 3, -2.6, -6, 1.5?
1.5
Which is the biggest value? (a) -1/4 (b) -1/3 (c) -1.2 (d) -12
a
What is the second smallest value in 5, -0.5, -17, -0.4?
-0.5
Which is the smallest value? (a) 2/5 (b) -3/5 (c) 129
b
What is the second smallest value in -0.2, 5, -1, -6, -11?
-6
Which is the fourth biggest value? (a) -0.1 (b) 12 (c) -4 (d) -2
c
Which is the fourth biggest value? (a) 2/15 (b) 2 (c) 0.4 (d) -26/9
d
What is the third biggest value in -3, -50/19, -0.1?
-3
What is the second biggest value in -4, -0.5, 1/2, -2/373?
-2/373
Which is the fifth biggest value? (a) 0.07 (b) -4 (c) 0.4 (d) -2 (e) 1
b
Which is the third biggest value? (a) 3 (b) 348 (c) -0.1 (d) -2/7
c
Which is the fifth biggest value? (a) -4 (b) -5 (c) 1 (d) 0 (e) -0.07
b
What is the second biggest value in -100, -0.1, -1.1, -0.07?
-0.1
Which is the smallest value? (a) 0.1 (b) 0.5 (c) 1/7 (d) -266/5
d
Which is the biggest value? (a) 2 (b) -8.1 (c) 2/3 (d) -2
a
Which is the smallest value? (a) -87 (b) -2/3 (c) 0.4 (d) 5
a
Which is the biggest value? (a) 4 (b) -1/2 (c) 0.5 (d) -0.3
a
Which is the second biggest value? (a) 2 (b) 3 (c) -2/19 (d) 1/8
a
Which is the second biggest value? (a) 0.1 (b) 3/4 (c) 9/8 (d) 2/7
b
Which is the second smallest value? (a) 3 (b) -4 (c) -28/15 (d) -2/3
c
What is the third smallest value in 1/8, -0.5, -2/35, 2/75?
2/75
What is the fourth biggest value in -0.2, 1, 58, -2, -0.3?
-0.3
What is the fifth smallest value in -1.3, -3/5, 0, -2/9, -1/47?
0
What is the biggest value in 5, -2/5, -152?
5
Which is the third smallest value? (a) 0.05 (b) -1/4 (c) -1/3 (d) 0
d
What is the third biggest value in -2, -73, 1/4?
-73
What is the third smallest value in -7, 0, 4.9?
4.9
What is the biggest value in -0.26, 14, 0.4?
14
What is the second smallest value in -0.2, -50, 1/9, 0?
-0.2
Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) 1/3 (d) 85.8
a
Which is the third biggest value? (a) 5 (b) -31 (c) 3/4 (d) 2/7
d
Which is the smallest value? (a) -1/5 (b) -1 (c) 0.4 (d) 1/4 (e) -21
e
Which is the smallest value? (a) 15 (b) 1 (c) -1 (d) 2
c
What is the fourth smallest value in -3, -5, -2, -2.3?
-2
Which is the third smallest value? (a) 2 (b) -38/9 (c) 0.1 (d) 3
a
Which is the second smallest value? (a) -0.1 (b) -3 (c) -2/11 (d) -1
d
Which is the second smallest value? (a) 1.5 (b) -3 (c) 3
a
Which is the fourth smallest value? (a) 1/5 (b) 1 (c) 2/11 (d) 0.03 (e) 0.5
e
What is the third biggest value in -2/11, -4, 6/11, 19/4?
-2/11
Which is the fourth biggest value? (a) 162 (b) 1 (c) 0.4 (d) -13
d
What is the fourth biggest value in 1/4, 0.2, 1/7, 59?
1/7
What is the second smallest value in -2, -4, 78.1?
-2
Which is the second smallest value? (a) 7/2 (b) 3 (c) -3/8
b
Which is the smallest value? (a) -0.5 (b) 15 (c) 0.07
a
Which is the smallest value? (a) 4/3 (b) -0.1 (c) 0.08 (d) -426
d
What is the third biggest value in -3/8, 0.1, 0.2, 0.254, 0?
0.1
Which is the fourth biggest value? (a) -0.1 (b) -9 (c) 21 (d) -5 (e) 5
d
What is the fourth smallest value in 3/2, -4/5, 0.1, 1.7?
1.7
Which is the smallest value? (a) -0.21 (b) 2/9 (c) 0.4
a
Which is the third smallest value? (a) -1 (b) -11 (c) -2 (d) 3
a
What is the third biggest value in -1/4, -1, 0.3, -0.291, 5?
-1/4
What is the second biggest value in 627, 0.2, 2?
2
What is the second smallest value in -1/8, -6, 0.1, -0.1, -80?
-6
What is the second smallest value in 1/10, 1, 0.4, -1/7?
1/10
What is the fourth smallest value in 2/21, 2/5, -4/7, -186?
2/5
What is the biggest value in 3/2, 0.3, 0.08, 0?
3/2
Which is the smallest value? (a) -2 (b) -0.5 (c) 2 (d) -9
d
What is the second biggest value in 4, 0, -0.07?
0
Which is the third smallest value? (a) -5 (b) 1.9 (c) 4 (d) -0.4
b
Which is the second biggest value? (a) -0.9 (b) -1/6 (c) 1
b
What is the smallest value in -0.03, 3/2, -5/3?
-5/3
Which is the second biggest value? (a) 0.3 (b) -15 (c) 2/15 (d) 1
a
What is the fourth biggest value in 3, 2475, -4, -3/5?
-4
What is the smallest value in 3, 3/2, 32?
3/2
Which is the second biggest value? (a) 0.06 (b) -1/4 (c) -0.5 (d) 0.1
a
What is the fourth smallest value in 2/7, -0.5, 12, -0.3?
12
Which is the smallest value? (a) -59 (b) 4 (c) 1.1
a
What is the biggest value in 0.7, -0.3, 2/7?
0.7
What is the second biggest value in 3, -3/2, 0.391, 0?
0.391
What is the third biggest value in -0.3, 1.7, -0.06, -2/11?
-2/11
Which is the third smallest value? (a) 13 (b) 2 (c) 28
c
Which is the third biggest value? (a) -4 (b) 5/6 (c) 102
a
Which is the third biggest value? (a) 2/21 (b) 0.794 (c) 3
a
Which is the biggest value? (a) 4 (b) 37/6 (c) -0.3
b
What is the smallest value in -41, -0.5, -3/5, 2?
-41
What is the fourth biggest value in 2/5, -2, -7/3, -0.5?
-7/3
Which is the fifth biggest value? (a) 2 (b) 0 (c) -7/6 (d) 0.2 (e) -22
e
Which is the second smallest value? (a) 0.2 (b) 62 (c) 4/5 (d) -3
a
Which is the biggest value? (a) 0.1 (b) -8 (c) 1/4
c
What is the smallest value in -3/2, 14, 0, 3/5?
-3/2
Which is the second smallest value? (a) -1.5 (b) 9/4 (c) 1
c
What is the biggest value in -2/11, 8, 2/19?
8
Which is the fourth smallest value? (a) 0 (b) 0.5 (c) -7 (d) 1
d
What is the third biggest value in -3, 1, -33, 4?
-3
Which is the second smallest value? (a) -0.08 (b) -0.8 (c) 2
a
Which is the fifth biggest value? (a) 0.3 (b) 1 (c) 17 (d) 0.12 (e) 5
d
What is the fifth smallest value in 2, 0, -0.04, 32, -0.1?
32
Which is the third biggest value? (a) -4 (b) -5/13 (c) 5
a
Which is the second smallest value? (a) 29 (b) -2/19 (c) 2
c
Which is the third biggest value? (a) -108 (b) 53 (c) -2
a
Which is the biggest value? (a) 269 (b) 0.4 (c) -0.1
a
Which is the third biggest value? (a) 2/7 (b) -0.6 (c) -2/11 (d) -31
b
What is the second biggest value in 0.3, -3, -538?
-3
What is the smallest value in -39, -0.1, 14?
-39
Which is the second smallest value? (a) 59 (b) -2/7 (c) -4/7 (d) 4/5 (e) 2
b
What is the fourth biggest value in 0.2, 0, -2/3, 2, -2.07?
-2/3
Which is the smallest value? (a) 4 (b) 1712/3 (c) -0.5
c
What is the fourth biggest value in -4, -5, -1, 3?
-5
Which is the smallest value? (a) -3/10 (b) 1/2 (c) -4/3
c
Which is the third biggest value? (a) 4 (b) 103 (c) -5 (d) 5
a
Which is the third biggest value? (a) -33 (b) -3 (c) -1/3
a
Which is the second biggest value? (a) 5/2 (b) 4 (c) 6578
b
Which is the second smallest value? (a) 154 (b) -3/8 (c) 2/5 (d) 0
d
What is the third smallest value in 2, 4, -241/2, 3/2?
2
Which is the second biggest value? (a) -25 (b) 0 (c) -1 (d) 0.4
b
What is the second smallest value in -0.03, -4, 4/5?
-0.03
Which is the smallest value? (a) -3/7 (b) 0 (c) -4 (d) 72
c
What is the fifth biggest value in -5/8, 0.4, -0.3, 5, -2?
-2
What is the second smallest value in -1/6, -0.37, 2?
-1/6
Which is the third smallest value? (a) 3/5 (b) -18/23 (c) -0.5
a
What is the third biggest value in 2/17, -2, 1, 30?
2/17
Which is the second biggest value? (a) 0.4 (b) -1/9 (c) 0.2
c
What is the third biggest value in -0.2, -5, -2/11, -3/2?
-3/2
What is the biggest value in 0.4, 8, 1/8?
8
What is the second biggest value in 3, 0.3, -1/4, -6?
0.3
Which is the fourth smallest value? (a) -127 (b) 3 (c) 2/7 (d) 4
d
What is the second biggest value in -4, -47, -0.2?
-4
Which is the third smallest value? (a) 0.3 (b) 2 (c) -91
b
What is the third smallest value in -16, -2, -86?
-2
Which is the third biggest value? (a) -0.3 (b) -2/3 (c) -0.4 (d) -2
b
Which is the fifth smallest value? (a) -5/3 (b) 3/5 (c) 0.02 (d) 0.8 (e) -2/11
d
Which is the third smallest value? (a) 0.12 (b) 296/7 (c) -2/15
b
Which is the fourth smallest value? (a) -12 (b) -2/9 (c) -0.4 (d) -0.5
b
What is the third biggest value in -2, 3, -0.5, 2, 9?
2
What is the biggest value in -4, 3, -0.67?
3
Which is the third biggest value? (a) 0.1076 (b) 5 (c) -3
c
What is the third biggest value in -14, -3, 9/7, 4, 0?
0
Which is the third smallest value? (a) 0.06 (b) 1/7 (c) 5 (d) -0.1
b
What is the fourth smallest value in -5, 1/5, 1200, -3?
1200
What is the second big | {
"pile_set_name": "DM Mathematics"
} |
= u - 11. Let b be 8/(-6)*(-216)/16. What is the remainder when w is divided by l(b)?
5
Let s(q) = -7 + 14*q - 8 + 5*q - 3. Calculate the remainder when 56 is divided by s(2).
16
Let d = 9 + -4. Suppose 171 = -d*z + 586. Let c = 0 + z. Calculate the remainder when c is divided by 21.
20
Let c be ((-82)/4)/((-5)/20). Suppose c = -5*r + 342. Calculate the remainder when r is divided by 27.
25
Let d(z) be the second derivative of z**4/12 + 7*z**3/2 - 6*z**2 - 24*z. What is the remainder when (-230)/(-6) - 2/6 is divided by d(-22)?
8
Suppose 9*f - 6*f - 87 = 0. Let o = -21 + f. Calculate the remainder when 39 is divided by o.
7
Calculate the remainder when 219 is divided by (2 - 35/(-7)) + 19.
11
Let k = -7 - -10. Let p(j) = j**3 - 9*j**2 + 8*j + 4. Calculate the remainder when p(8) is divided by k.
1
Let q(l) = l**2 - 3*l - 3. Suppose -4*p + 9*p = 15, 0 = -5*m - 4*p - 23. Let o(h) = h**3 + 5*h**2 - h + 9. What is the remainder when q(m) is divided by o(-5)?
11
Let a = -349 + 380. What is the remainder when 247 is divided by a?
30
Let f(q) = 5*q**2 - 46*q + 17. Calculate the remainder when f(10) is divided by 11.
2
Suppose 0 = -4*v + f + 341, v - 39 = -4*f + 25. Calculate the remainder when v is divided by 9.
3
What is the remainder when -3*(-2)/18*(-2079)/(-11) is divided by 16?
15
Let a(w) = w - 3. Let i be 12/(-14)*(-14 + 7). Let l = -13 - -22. What is the remainder when l is divided by a(i)?
0
Let s(w) = -6*w**2 + 14*w**2 - 6 - 2 - 5*w + w**3. What is the remainder when 93 is divided by s(-8)?
29
Let v(h) = 2*h**2 - 5*h - 3. Let z(g) = -14*g - 8. Let m be z(-1). What is the remainder when v(m) is divided by 7?
4
Let s(i) = -i**3 - i**2 - i + 9. Let a be s(0). Calculate the remainder when 7/(-35)*-215 - 9 is divided by (a + 0)*(1 - -1).
16
Calculate the remainder when ((-231)/(-44))/(6/64) is divided by 30.
26
Let a = 676 - 352. Suppose 0 = -10*k + k + a. What is the remainder when 70 is divided by k?
34
Let d = 14 - 14. Suppose d = -0*j + j - 57. Suppose 0*i - 138 = -3*i - 4*t, 0 = i + 5*t - j. What is the remainder when i is divided by 12?
6
Let t(h) = -h**2 + h + 34. Let q = -3 + 1. What is the remainder when (-37)/(-4) - q/(-8) is divided by t(6)?
1
Suppose 6*l = 4516 - 4426. Let b = -1 - -2. Calculate the remainder when l is divided by b.
0
Suppose c + 10*c - 99 = 0. Calculate the remainder when 42 is divided by c.
6
Suppose 3*x + 5 = j - 6, -3*j = -4*x - 43. What is the remainder when 118 is divided by j?
16
Calculate the remainder when 56 is divided by 3060/108 + 0 + (-4)/(-6).
27
Suppose -5*l + b + 530 = 0, 16*l - 11*l - 515 = -2*b. Calculate the remainder when l is divided by 62.
43
Let q = -266 - -327. What is the remainder when q is divided by 11?
6
Let m be 1/(((-8)/(-10))/(-4)). Calculate the remainder when (2/m)/(1/(-45)) is divided by (-15)/(-2)*16/12.
8
Let j(a) = -a**3 + 5*a**2 - 2*a + 6. Let l be j(4). Let h = -6 + l. What is the remainder when 14 is divided by h?
6
Let l = 649 - 461. What is the remainder when l is divided by 24?
20
Let k(n) = -4*n**3 - 2*n**2 + 3*n + 4. Let c be ((-3)/(-5))/(6/(-30)). Calculate the remainder when k(c) is divided by 22.
19
Let r = -5 - -10. Suppose 0 = 3*s - 4*x + 3*x - 87, -r*x = -5*s + 135. Let p(q) = -32*q + 968. Calculate the remainder when s is divided by p(30).
6
Let b(i) = 4*i + 84. What is the remainder when 179 is divided by b(-18)?
11
Let m = -65 + 138. Suppose -k = -l + 3*k + 49, l - m = -2*k. Suppose 0 = 4*x + 17 - l. What is the remainder when 33 is divided by x?
9
Let c(o) = 2*o**2 + 17*o - 87. What is the remainder when 22 is divided by c(4)?
9
Suppose -2*b - 1 = -3, -5*k + 96 = b. Suppose 0 = 7*x - 8*x + k. Let a = -6 - -13. Calculate the remainder when x is divided by a.
5
Suppose 0 = -30*i - 5*i + 80465. What is the remainder when i is divided by 25?
24
Let j be 10/2 - (-2)/(0 - -1). Calculate the remainder when 8 is divided by ((-65)/(-91))/(1/j).
3
Suppose 26*p - 30*p + 16 = 0. Calculate the remainder when 23 is divided by p.
3
Let x be (-121)/(-1)*(2 + -1). Suppose 4*s - 25 = -x. Let q = 34 + s. Calculate the remainder when 39 is divided by q.
9
Suppose -2*b + 35 = 15. What is the remainder when 14 is divided by b?
4
Let n(b) = -2*b**3 - 10*b**2 + b + 24. Let r(z) = z**3 - z + 1. Let d(f) = n(f) + 3*r(f). What is the remainder when 27 is divided by d(10)?
6
Let i(r) = -r**2 + r + 1. Let z(m) = -m**2 + 26*m + 31. Let a(n) = -2*i(n) + z(n). Let f = -22 + 134. Calculate the remainder when f is divided by a(-24).
25
Suppose -3*k + 3*c + 36 = 0, -4*k + 17*c = 16*c - 45. Suppose 216 = t + 3*t. What is the remainder when t is divided by k?
10
Let j = -75 + 118. Let v = j - 27. Let q = -23 + 32. Calculate the remainder when v is divided by q.
7
Let z(p) = -p**2 + p + 21. What is the remainder when 11682/143 - (-12)/39 is divided by z(0)?
19
Let j(u) = -2*u**2 + 39*u + 42. What is the remainder when j(20) is divided by 12?
10
Let m(t) = 3*t**3 - 2*t**2 + 8. What is the remainder when m(3) is divided by 12?
11
What is the remainder when 46 is divided by 13*2 - 31/31?
21
Let c = -16 - -18. Suppose -4*z = 3*s + c*s - 6, 3*s - z - 7 = 0. What is the remainder when 4 is divided by s?
0
Let w = 59 - 29. Let d(o) = o**3 + 4*o**2 - 5*o + 3. Let x be d(-5). Suppose -48 = -x*g - 0. What is the remainder when w is divided by g?
14
Let q(d) = d**2 + 14*d - 9. Let y be q(-15). Suppose y*m - 2*m - 56 = 0. Calculate the remainder when m is divided by 8.
6
Suppose -17487*m = -17499*m + 348. Calculate the remainder when 228/(0 + 2) + -1 is divided by m.
26
Let i = 110 + -87. Calculate the remainder when 86 is divided by i.
17
Suppose -c - 3 = -5. Suppose -7 = -c*b + 1. Let q = 1 + 0. Calculate the remainder when b is divided by q.
0
Suppose 120 = -5*i - q + 48, 0 = 2*i + 2*q + 24. Let p(u) = u**2 + 17*u + 32. Let j be p(i). What is the remainder when 48 is divided by (-5)/(-10)*10*j?
8
Let x = 71 + -43. What is the remainder when 137 is divided by x?
25
Let d(t) = 5*t**2 + 15*t - 16. Let l be d(-7). Suppose -14*a + l = -12*a. Calculate the remainder when a is divided by 32.
30
Let c be (0 - -6)*2/(-6)*-4. Let d(v) = 3*v**2 - 6*v - 18. Calculate the remainder when d(c) is divided by 130/4 + (-1)/2.
30
Let d be 16/12*(1 - -2). Let w = 116 - 84. Suppose -v + w = -d*f - 0*f, -4*v = -2*f - 156. Calculate the remainder when v is divided by 11.
7
Suppose 6*c - 7*c + 13 = 0. Suppose 5*o = -c*o + 630. What is the remainder when 135 is divided by o?
30
Let r(x) = -21*x - 8. Calculate the remainder when r(-2) is divided by 7.
6
Let h(u) = 30*u - 2. Let j be h(3). Let p = j + -61. Let l = p - 19. Calculate the remainder when 14 is divided by l.
6
Suppose -5*b - 2*g - 174 = 0, 2*g - 64 = 2*b + 14. Let q = b + 52. Let z(o) = o + 9. What is the remainder when q is divided by z(0)?
7
Suppose 357 - 1001 = -23*d. Let s = 32 + 21. What is the remainder when s is divided by d?
25
Suppose 5*v + 4*o - 482 = 0, -23*o + 25*o = 4*v - 370. Calculate the remainder when v is divided by 49.
45
Suppose -2*d + f + 10 = -3*f, -3*d = -3*f - 9. Calculate the remainder when 1 - -1 - (-1 + d) - -67 is divided by 14.
13
Suppose 0 = 5*y - 5*d - 192 - 43, 3*y = -d + 157. Let c = -370 - -396. Calculate the remainder when y is divided by c.
25
Let n = -147 - -221. Suppose -k = -18 - 8. What is the remainder when n is divided by k?
22
Let r(v) = v + 10. Let g be r(-7). Let z = 46 - 17. What is the remainder when z is divided by -20*(-2)/(1 + g)?
9
Calculate the remainder when 93 is divided by (-1)/1*(9 + 26)/(-1).
23
Let g(z) = -18*z + 24. Calculate the remainder when 382 is divided by g(0).
22
Let a = -2090 + 2110. What is the remainder when 512 is divided by a?
12
Suppose 13*s = 2993 - 627. What is the remainder when s is divided by 82?
18
Suppose j + 11 = 2*b, 2 + 26 = b - 5*j. Suppose -o = 3*w - 32, b*w - 5*o = -2 + 4. Calculate the remainder when 152 is divided by w.
8
Let r = -4 + 15. Let v = 988 + -958. What is the remainder when v is divided by r?
8
Let n = -163 - -165. Suppose -2*j + n*y = -404, -3 + 1 = y. What is the remainder when j is divided by 51?
47
Let o = -807 + 810. What is the remainder when (-1 + 13)/(-1 + 2) is divided by o?
0
Let u(r) = r**3 - 7*r**2 + 7*r + 3. Calculate the remainder when u(7) is divided by 1 | {
"pile_set_name": "DM Mathematics"
} |
= -3*p - 8, p - 3*f = -12. Let j = p + 3. Let a(y) = -y + 1. Let d be a(j). Which is smaller: d or 0?
0
Let j be 2/(-5) + 0/1. Let c = -5 - -3. Which is smaller: c or j?
c
Let d be 291/9 + 8/12. Suppose 0 = -p - 2*p - d. Which is bigger: p or 0.1?
0.1
Let b be 1*(-1 - (-32)/30). Suppose 0 = 4*v + 2*o - 4, -20 = -o - 4*o. Which is smaller: v or b?
v
Let q = 2 + -1. Suppose 0 = 3*g - 10 + q. Let u be (g/4)/(0 - 3). Which is smaller: u or -0.1?
u
Suppose 4 - 35 = 5*c + x, 2*c - 2*x = -22. Let o be 2*1 + 10/c. Let d = 10 + -10. Is o at most as big as d?
False
Let z be (-12)/(-105)*(-5)/(-2). Let n = -15 + 14.95. Let c = 0.95 - n. Which is bigger: z or c?
c
Let k be -6*(-3)/12*6/27. Which is smaller: k or -7?
-7
Let o = -0.7 + 0.3. Let z = -1.4 - o. Is 6/7 not equal to z?
True
Let i = -67.6 - -69. Which is bigger: -2 or i?
i
Let j be (-2)/((-4)/10)*(-6)/5. Is -20 < j?
True
Let p be ((-59)/(-3))/((-1)/8). Let v = p - -155. Do -1 and v have the same value?
False
Let j(b) = 2 + 5*b - 2*b + 0 - b**2 + 0*b. Let v be j(2). Is v not equal to 5?
True
Suppose -2*o + 26 = -r - 1, r = -5*o + 57. Let i be ((-6)/4)/((-9)/o). Let l be 1 + -4 - 0/i. Which is smaller: -2 or l?
l
Let n = 1434/385565 + 4/1307. Let k = 2059/885 + n. Which is greater: k or 1?
k
Let r = -247/5 + 49. Suppose 5*o = -3*s - 0*s + 20, 13 = -2*o + 3*s. Is r equal to o?
False
Let c = 1/80 + -21/80. Let l be (-2)/(-6) + 8/3. Suppose 12 = -6*x + l*x. Which is smaller: c or x?
x
Let p(q) = -q**2 + 8. Let k(s) = -s**2 + s + 7. Let f(y) = -5*k(y) + 4*p(y). Let b be f(4). Let g = b - -7. Is g >= 2/25?
False
Let w = -96 + 96. Which is bigger: -6/7 or w?
w
Suppose 2*h + 2*h - 8 = 0. Suppose h*b = -b. Suppose -2*y - 2*w - 4 = 0, -10 = -y + 4*w + w. Is b at least as big as y?
True
Let w(n) = 5*n**3 + 2*n - 7*n + 3*n**2 - 3 - 4*n**3 - 2. Let r be w(-4). Do r and 3/11 have different values?
True
Suppose r - 5*a = -4*r + 45, 0 = -4*r + 3*a + 33. Suppose -5*w = 5*j - 31 + r, 4*w = -2*j + 28. Is 7 at most as big as w?
True
Suppose -5*g - 3*t - 3 = 0, 2*g - 5*g + 5*t = 29. Which is smaller: g or -2?
g
Let o be 90/24 - 6/8. Are o and -2 equal?
False
Let z(g) = -3*g + 1. Let u be z(-1). Suppose u*x = 28 - 8. Is 5 > x?
False
Let x = -1388/7 - -198. Let w = -0.3 - -2.3. Which is bigger: w or x?
w
Let f be 34/51 + 25/3. Suppose -4*d = -7*d + f. Are d and 3 equal?
True
Let s be -3 + (3 - 1) - 10. Let j = -15 - s. Let r(p) = p**3 - 5*p**2 - 2*p + 5. Let t be r(5). Which is smaller: t or j?
t
Let r(j) = j**3 + 5*j**2 + j + 7. Let c be r(-5). Let m be c/(-5) + (-12)/(-20). Is -1 > m?
False
Let u(w) = -w**3 - 11*w**2 - 9*w + 10. Suppose 5*y = -0*y - 50. Let c be u(y). Are -3/5 and c unequal?
True
Let h = -32 + 35.1. Let f = h - 0.1. Let n be 0/(-4)*(-3 - -2). Are n and f equal?
False
Let f be (11/(-22))/(30/22). Let r = 2/15 - f. Which is smaller: r or 2?
r
Suppose 0 = 4*j - 3*r - 13, j + 3*j = -2*r + 18. Which is smaller: 2 or j?
2
Suppose 0 = 3*w - 4*n - 28, -16 = -0*w - 3*w + n. Which is greater: 0 or w?
w
Let x be ((-1)/(-20))/((-8)/(-60)). Which is bigger: -1 or x?
x
Let z = -61.7 - 14.3. Let d = z - -70.9. Let j = d - -5. Which is bigger: j or 2?
2
Let h = 5.1 - 0.1. Let z = h - 4. Let w be ((1/(-7))/1)/1. Does w = z?
False
Let w = -6.03 + -0.57. Let u = w + 6. Let m = 0.7 + u. Which is greater: m or -0.1?
m
Let n = -0.16 - -0.17. Which is greater: 0 or n?
n
Let z = 446040977/924176 - 3/84016. Let r = -483 + z. Which is greater: 0 or r?
0
Let b = -25 - -32. Which is greater: b or 23/4?
b
Let y be 1 + (-4)/6*3. Let z be (-2)/(y + 2 + 0). Let h(n) = n**2 + 9*n + 5. Let b be h(-8). Which is smaller: b or z?
b
Let u = 1673582/407 - 4112. Let x = -1610/3663 + u. Do x and 1 have different values?
True
Suppose -19 = -7*o + 23. Suppose 2*b + 8 = o. Is b smaller than -25?
False
Suppose 2*z + 2*s = -19548, -6*s + 9783 = -z - 4*s. Let x = 1124339/115 + z. Let k = x + -6/23. Is -1 greater than or equal to k?
False
Let d(u) = -u**3 - 6*u**2 + 9*u - 3. Let x be d(-7). Let v = x - -11. Let j be v/30*10/12. Is 0 greater than or equal to j?
True
Suppose -21 = -a + 8*a. Which is bigger: -2 or a?
-2
Let l be 2/(-3) + (-7)/(-15). Let p = 15 - 16. Which is smaller: p or l?
p
Let o(a) = -a**2 + 4*a - 1. Let x be o(3). Let l be -1 - (x - 54/21). Is 0 less than l?
False
Let z be 712744/(-14) + (-4)/(-14). Let h = z + 862854/17. Let r = h - -154. Do -1 and r have the same value?
False
Let q = 136 - 130. Which is greater: 8 or q?
8
Let k = 0.21 + -0.01. Which is bigger: -26 or k?
k
Let p(f) be the third derivative of -f**6/120 + f**5/10 - 3*f**4/8 + 2*f**3/3 - 2*f**2. Let a be p(4). Let m = -12/13 - -230/221. Which is smaller: a or m?
a
Let n = -0.3 - -1. Let l = n + -0.7. Which is smaller: l or -7?
-7
Let f = -17/4 + 13/2. Let g = 15/4 - f. Which is smaller: g or 3?
g
Let n be ((-15)/90)/((-3)/(-4)). Let o(u) = -u**3 + u**2 - 1. Let f be o(-1). Is n less than f?
True
Let b be ((-2)/(-8))/((-99)/36). Which is smaller: 0 or b?
b
Let m = -14 + 10. Which is smaller: 0 or m?
m
Let z be 33/6 + 6/(-4). Suppose -z*u - 10 = 2*l, 2*l - 2*u = -3*l - 1. Is 1/4 at most as big as l?
False
Let y be -1 + 6*3/6. Let m = 14 - 7. Let v = m - 5. Is y at most v?
True
Let n = 1 - 5. Let o = 5 + 2. Let i(v) = v**2 - 9*v + 9. Let x be i(o). Which is smaller: x or n?
x
Suppose 2*c - 3*c + 4 = 0. Let z be ((-18)/c)/((-27)/45). Which is smaller: z or 8?
z
Let u = -0.78 + 0.7. Let h = u + 0.04. Let v = 0.24 + h. Is v less than or equal to -0.1?
False
Suppose 0 = 4*b - 3*b - 1. Let c be (-1)/(-4 + -2 + b). Which is smaller: 2 or c?
c
Let r = 7 - 11. Are r and -3 equal?
False
Let a be -34 + 1 - (0 - -1). Let w be (-2)/(-5) - a/(-10). Is -3 smaller than w?
False
Let u = -6 + 8. Let x = -2 + u. Which is smaller: x or 1/4?
x
Suppose -41 = 5*u + 99. Let z = -83/3 - u. Let n(q) = -2*q**2 + 2*q - 1. Let r be n(1). Is r bigger than z?
False
Let y be -3 - -7 - 1*6. Is y at most as big as -1?
True
Let g = 3 + -4. Let u = -0.9 - -1.8. Let r = g + u. Which is bigger: r or 4?
4
Suppose -u = 4*p - 16, -4*u = -0*p - p - 13. Suppose 0 = x - p*x. Suppose 0 = -2*c - 4*z - 4, 4*c - z + 3*z - 16 = x. Which is smaller: 7 or c?
c
Let y be 31/20 - (-9)/(-12). Suppose -4*t + 4*d = 12 - 0, 5*t + d + 9 = 0. Let l = t - -2. Is y <= l?
False
Let h(a) = a**3 + a**2. Let i be h(0). Let d be (-641)/236 + 4 + -1. Let n = d - 2/59. Is i at least as big as n?
False
Let a = -0.4 - 0.2. Which is bigger: 0.3 or a?
0.3
Let r = -1/17 - 29/85. Is -3/11 not equal to r?
True
Let f be (1/2)/((-5)/(-1020)). Suppose -3*v = 4*z + f - 612, -5*v - z = -850. Let b be (-8)/6*(-15)/v. Are 1 and b equal?
False
Let t = 7 - 4. Suppose -z + 2*z = t. Which is bigger: 0.2 or z?
z
Let h = 4 - 5. Is h at least -2/7?
False
Suppose 0 = 24*r + 39 + 9. Which is greater: r or 6?
6
Let x be 6/(2 - 40/15). Is x < -9?
False
Let l be (0 - -2)/(2 + 1). Let m be (-45)/25 + 8/(-6)*-3. Is l smaller than m?
True
Let y(w) = 2*w - 9. Let o be y(6). Suppose -u = -4*u - o. Which is bigger: u or 2/7?
2/7
Let t = 35.16 - 35. Is 1 greater than or equal to t?
True
Suppose 6*d - 2*d = 0. Suppose d*q - 1 = q. Let b = 11/12 - 25/36. Which is bigger: b or q?
b
Let g = 0.7 + 0.3. Is -4 < g?
True
Let w be ((-10)/3)/((-8)/12). Which is smaller: w or 6?
w
Let t = -307 - -3989/13. Let r(g) = g - 7. Let j be r(7). Is t >= j?
False
Let b = 17 - 16. Is b >= 1?
True
Suppose s - 2 = 0, -3*a + 3*s - 5*s - 5 = 0. Let f = a + 4. Let i be 6/(-4)*2 + f. Is -2 < i?
False
Let f = 20 + -16. Suppose -f*j = 4 - 0. Let m = -43 - -214/5. Is m >= j?
True
Let u(z) = 4*z**2 - 1. Let m be u(1). Let n be 0 + m + -2 - 3. Suppose 2 = b + 3*b + 2*w, -4*w = -20. Is n <= b?
True
Let o = 41 + -125/3. Let x = 7 - 7. Suppose x = -f - 0*f. Is f equal to o?
False
Let r(x) = x**3 - 4*x**2 - 4*x - 4. Let h be r(5). Let g = 21 - 12. Let n be ((g - h)/(-2))/(-2). Is -1 at most as big as n?
True
Suppose 3*p = -j + 472, 140 = -p + 2*p - 4*j. Let n be 2 - (-1)/((-80)/p). Which is smaller: n or 1?
n
Let l be ((-4)/2 + 1)/10. Is l less than or equal to -1?
False
Let j be 2/(-15) + (-4)/6. Suppose 0 = 8*q - 9*q. Which is bigger: q or j?
q
Let f be (-69)/(-99) + (-2)/6. Let g = f + -1/33. Which is smaller: g or 2/11?
2/11
Suppose -11 = w + 328. Let f be 5*(w/(-345) - 1). Suppose -2*x + 0*x | {
"pile_set_name": "DM Mathematics"
} |
e (4 - 22/5)*(-15)/2. Let c(t) = -2*t**3 - 4*t**2 - 3*t - 2. Let k be c(-2). Suppose -k*d = -g*d - 211. Is d composite?
False
Let g = 17 - 13. Suppose 6*h = g*h + 474. Is h a composite number?
True
Suppose 5*n - 15 = -2*i, -5*i - 6*n = -3*n - 9. Let k be i + (-4 - -3) - -7. Suppose 0 = 8*l - k*l - 212. Is l composite?
True
Suppose -14*d = -217128 + 69050. Is d composite?
True
Is (-958)/7*266/(-76) a composite number?
False
Let t = 1761 - 1170. Is t a prime number?
False
Is 62187/152 + 2/(-16) prime?
True
Let d = 784 - 468. Let b = 255 - -64. Let u = d + b. Is u a composite number?
True
Is -3 - (-2605 + (-11 - -4)) a prime number?
True
Let s(i) = 930*i**2 + 6*i - 10. Is s(2) prime?
False
Let z(c) = 118*c - 25. Is z(8) prime?
True
Suppose 0 = -x + 5*w + 841, -x + 4*w + 839 = -2*w. Is x prime?
False
Let y = 4875 + -3218. Is y prime?
True
Is -2*(-1 - 22230/12) a composite number?
True
Let l = -3405 - -6242. Is l composite?
False
Let n = 108 - 17. Suppose 0 = 5*x + 3 + 2, -n = -3*b - 2*x. Is b prime?
True
Let j(g) = -g**3 + 13*g**2 + g - 25. Let z be j(13). Is 1*(399 - z/(-3)) prime?
False
Suppose 0*w - 62 = 2*w. Let m = -18 - w. Is m composite?
False
Let r = 1325 - -4806. Is r a composite number?
False
Is 46/(-5 - (-7)/422*302) prime?
False
Suppose 0*k = -k - 5*a - 273, -3*a = 4*k + 1109. Let r = 175 - k. Let b = 814 - r. Is b a composite number?
True
Let w(q) = -75*q**3 - 7*q**2 - 3*q + 3. Is w(-4) prime?
True
Let n be (7 + -3 - 3)/(1/13). Is 53887/13 + (-8 - (-102)/n) prime?
False
Let c = -2 - -4. Suppose -k - 4*t + 41 = -0*t, t = 0. Suppose 0 = 5*x - 10, 3*p - c*x - 48 = k. Is p a composite number?
False
Let f(x) = 74*x**2 - 2*x - 3. Let d be f(-4). Suppose 5*g = 4*i - 1544, 0*i - 3*i - 4*g = -d. Is i composite?
True
Let h = 4407 + 13844. Is h prime?
True
Suppose -5*g + 4737 = -2*g. Suppose 2*v - g = 5*a, 0 = 3*v - 4*a - 247 - 2118. Is v a composite number?
False
Let i be (-10)/(-4)*96/12. Let q = 21 + -31. Is q/i + 755/2 a composite number?
True
Suppose -6 = 2*t - 4*r - 296, 0 = -5*t + 4*r + 731. Suppose 150*l - t*l = 4143. Is l a composite number?
False
Let u be (713/12 - (-1)/3)*-4. Let c = u + 1192. Is c a prime number?
True
Let f = 61 + -241. Let v = -62 - f. Suppose 17*j - 19*j + v = 0. Is j composite?
False
Let w(r) = -r**2 - 69*r - 229. Is w(-42) a prime number?
False
Let i be 4 - 6 - 6*-1. Is 2529 - (-4)/8*i a prime number?
True
Suppose 3*g + 2*p - 41945 - 2921 = 0, -5*p = -g + 14927. Suppose 51546 = -5*z + 2*m + g, 3*z + 21966 = -2*m. Is -1*2 + z/(-8) prime?
False
Suppose -5*o - 23 = 57. Let n be o/10*3660/(-8). Suppose 2*r - z + 1115 = 5*r, 2*r = 5*z + n. Is r a composite number?
True
Let l(w) = -w**3 + 12*w**2 - 9*w + 1. Let f be l(8). Suppose 3*q = -3*u + 255, 2*q = -5*u - 0*u + f. Suppose -3*k = -25 - q. Is k a composite number?
True
Is 1/(2*1 + (-94878)/47446) a composite number?
False
Let s = -20 + 19. Let m be ((-4)/(-8))/(s/36). Is ((-3)/(-2))/(m/(-36)) a composite number?
False
Let w(r) = 10*r**3 - 5*r**2 - r + 3. Let n be w(-3). Let b = 602 + n. Is b prime?
True
Let i(n) = 102*n**2 - 17*n + 149. Is i(22) a composite number?
True
Let o(l) = -443*l - 233. Is o(-30) a prime number?
False
Suppose x + a - 194127 = 0, -317286 = -x + 2*a - 123147. Is x prime?
False
Suppose z = 2 - 0. Suppose 100 + 44 = j - z*b, 291 = 2*j - 3*b. Let u = 523 - j. Is u prime?
True
Suppose -3*w - 140104 = -4*z, 4*z - 31245 - 108891 = -5*w. Is z composite?
True
Let f(b) = -19*b**3 - 8*b**2 - 7*b - 19. Let q = -75 - -70. Is f(q) prime?
False
Suppose 19 = 8*w - 5. Suppose 319 = 3*n - 2*i, w*n - 4*i - 231 = 80. Is n a composite number?
False
Let z be 13 - (0 + -3)*1. Is (-172)/z*2*-6 composite?
True
Suppose 4*k + 19 + 1 = -t, 0 = t + 2*k + 18. Let o be t/10*65/(-26). Suppose -x = -o*x + 633. Is x a composite number?
False
Suppose w - 2310 = -w. Suppose 37 - w = -2*m. Is m a prime number?
False
Suppose 568103 = 16*w - 179465. Is w a prime number?
True
Let v = -8 + 3587. Is v prime?
False
Suppose 5*v = 4*d - 6568, -5*d + 5*v + 167 = -8038. Is d prime?
True
Is (-2)/(-4) + (-1208061)/(-202) a prime number?
True
Suppose r + 13*w - 16032 = 14*w, -r = -5*w - 16028. Is r prime?
True
Let d(s) = 225*s - 26. Is d(3) a prime number?
False
Let w be 4/(-22) - 92976/(-143). Suppose -3*g - 5*k + 7717 = 0, w = g + 3*k - 1917. Is g composite?
False
Suppose 0 = -19*l + 18*l + 7. Is (1/(-2))/(l/(-4396)) prime?
False
Suppose 2*t + 5 = y, 5*t = 2*y - 0*t - 12. Let w be (y + 0)/((-17)/(-1717)). Let v = w - -28. Is v prime?
False
Let x(z) = -z**2 - 10*z - 8. Let p be x(-9). Let w(j) = 260*j**3 - 3*j + 2. Is w(p) composite?
True
Let g(f) = -37*f - 10. Suppose -3*o = 3, 3*i - 4*i - 2*o + 21 = 0. Let r = -30 + i. Is g(r) a prime number?
False
Suppose -2*o = -4*o. Suppose o*l + 3*l = 6. Suppose 3*p + a = 337, -2 = -4*p - l*a + 446. Is p a composite number?
False
Is (-4*6/(-16))/(3/1042) composite?
False
Let s(k) be the first derivative of k**4/4 - k**3 - k**2/2 - 5. Let f be s(3). Is 5960/(-4)*f/6 a prime number?
False
Let v(y) = -3*y**3 + 34*y**2 + 58*y + 53. Is v(-26) prime?
True
Suppose 20*o = 18*o + 61474. Is o composite?
True
Let r = 5 - 5. Let t be (-24)/20*(r + -5). Is (-2)/t + (-166)/(-3) a composite number?
True
Suppose -2*s + 15 = -9. Suppose 5*d + 5*c + 30 = 0, 0 = 3*d - d - 5*c + s. Is (291/d)/(2/(-4)) a prime number?
True
Let h = -1545 - -2651. Suppose 6*v - h = -v. Is v prime?
False
Let d(v) = 839*v - 57. Is d(16) a composite number?
False
Suppose -2*x - 15551 = -3*r - 2734, x + 12815 = 3*r. Is r prime?
True
Let u = 1 + -1. Suppose -3*g + 0*g - 15 = u. Let o(q) = q**3 + 9*q**2 - 6*q - 3. Is o(g) composite?
False
Suppose -5*x = -0*x - 5*w - 110600, 3*x = 2*w + 66363. Is x prime?
True
Let c = -76074 - -122207. Is c composite?
False
Let y(i) = 2*i**3 + 6*i**2 - 14*i - 16. Let p be y(-7). Let l = p + 689. Is l a prime number?
True
Let b(p) = 10*p**2 + 4*p + 4. Let d be b(-4). Let i = -21 + d. Is i a prime number?
True
Let h(v) = 5*v**2 - 2*v. Let t be h(-1). Let c(j) = 44*j + 1. Let r(f) = 89*f + 3. Let p(m) = t*c(m) - 3*r(m). Is p(3) composite?
True
Let a = -3 + 1. Let r(y) be the third derivative of -8*y**4/3 - y**3/6 - 9*y**2. Is r(a) a composite number?
False
Let o be (2*3/2)/(39/364). Suppose -202 = -3*l - z - 21, 118 = 2*l + 2*z. Suppose -j = -l - o. Is j composite?
False
Let u(k) = k**3 - k**2 + 1. Let c(v) = 70*v**3 - 6*v**2 + v + 7. Let g(x) = -c(x) + 5*u(x). Is g(-1) composite?
True
Let q(w) = -16*w. Let n be q(-4). Suppose 120 + n = 2*j. Let v = -58 + j. Is v a prime number?
False
Let n = 110 + -110. Suppose -293 = -w - g, -3*w - 4*g + 1116 - 237 = n. Is w prime?
True
Suppose 0 = 5*f - 366 + 56. Let i = f - 126. Let s = 7 - i. Is s a composite number?
False
Suppose -4*s - 2*j + 10 = -2, -16 = -4*s - 4*j. Let p(z) = -100*z - 3. Let r be p(-4). Suppose 0*c + s*o + 201 = c, 2*c = 3*o + r. Is c composite?
False
Let z(r) = 19*r**3 - 3*r**2 + 7*r - 6. Let y be z(4). Suppose -2*m + y - 120 = 0. Is m a prime number?
False
Let j = -11658 - -25481. Is j a composite number?
True
Suppose -2 = s - 4, 2*n + s = 304. Let h be (-96)/(-36)*(-183)/(-2). Let j = n + h. Is j composite?
True
Suppose -12*l = -q - 17*l + 3, -2*q + 6 = -2*l. Let m = -166 - -964. Suppose 0 = -q*h + m + 9. Is h a composite number?
False
Suppose -4*k + 875 = 10*w - 5*w, 4*w - 736 = 4*k. Is w composite?
False
Let k(h) = 4*h + 4*h - 4*h - 2. Let v be k(1). Suppose -v*d - 99 = -5*d. Is d a prime number?
False
Let k(o) be the third derivative of o**4/24 + 5*o**3/3 - 5*o**2. Let x be k(4). Suppose -5*i - 639 = -x*i. Is i a composite number?
False
Let k be 3 - (-12 - (-2 + -1)). Let n be 116*k + 11 + -10. Suppose -p = -2*p + n. Is p a composite number?
True
Let q = 22 + -17. Suppose -2*d = 2*s - 1 + q, -5*d - 10 = -3*s. Suppose -4*m + 1573 - 401 = s. Is m composite?
False
Suppose 4*a + 3*x = 91295, 4*a - 4*x - 99732 + 8444 = 0. Is a a composite number?
True
Suppose 4*c - g = 4*g - 3, -5*c - 5*g + 30 = 0. Suppose 5*p = d - 4*d - 6005, 5*p - c*d + 6005 = 0. Let f = p - -2022. Is f a prime number?
True
Suppose 2*u = -3*u + 10. Suppose -3*y + 5*y = 4, -u*y = 4*t - 10320. Is t a prime number?
True
Is (-4 - 34/(-8))*59924 composite?
True
Suppose -5*i + 766 = n, 2*n - 5*n - 5*i + 2308 = 0. Is n a composite number? | {
"pile_set_name": "DM Mathematics"
} |
2)/(sqrt(18)/sqrt(3)*-3))*-6.
-72 + 38*sqrt(2)
Simplify 2 + (sqrt(288) - (1 + sqrt(288))) + -2 - -2*(sqrt(288) + 1 + 5 + sqrt(288)).
11 + 48*sqrt(2)
Simplify (sqrt(980)/sqrt(2))/(2*sqrt(245) + sqrt(5)) + 1.
7*sqrt(2)/15 + 1
Simplify (3 + sqrt(432) + 1)**2 + 0 - ((sqrt(432) - (1 + 1 + sqrt(432)) - sqrt(432)) + -3)**2.
-24*sqrt(3) - 9
Simplify ((sqrt(325) + sqrt(325) + (sqrt(325) + -5 - sqrt(325)) - sqrt(325))*-4 + 4)**2*-1 + 1.
-5775 + 960*sqrt(13)
Simplify (-2*-1*sqrt(70)*-1)/(5*1*sqrt(160)).
-sqrt(7)/10
Simplify ((1*sqrt(68) - sqrt(68))*-5 - sqrt(68))/(sqrt(12)/(-4*sqrt(3))).
4*sqrt(17)
Simplify (-6*-4*(sqrt(832) + 2)*4*4*4)**2.
75497472*sqrt(13) + 1972371456
Simplify (sqrt(190) - (sqrt(190) + sqrt(190)*1*-1))/(sqrt(810)*-2) - ((-3*sqrt(133) + sqrt(133))/sqrt(7) + (-1*sqrt(1216))**2).
-1216 + 35*sqrt(19)/18
Simplify 4*(-2 + sqrt(117) + 1 - (sqrt(117) + -2)*6).
-60*sqrt(13) + 44
Simplify (sqrt(630)/sqrt(360))/(sqrt(81)/sqrt(576)).
4*sqrt(7)/3
Simplify (sqrt(288) + (sqrt(288) - ((2 + sqrt(288))*6 - sqrt(288))))**2 + 0 + -1 + -3*(-1 + sqrt(288)).
828*sqrt(2) + 2738
Simplify (6*(1 + -3*(1*(3 + sqrt(208)) + sqrt(208))))**2.
13824*sqrt(13) + 271872
Simplify -2 + ((4 + 1*sqrt(1088) + sqrt(1088) - (0 + sqrt(1088)*-1)**2) + -3)*2.
-2176 + 32*sqrt(17)
Simplify sqrt(3) + sqrt(18)/(sqrt(6)*-2) + sqrt(3) + -1 + -3 - (sqrt(3) + 0 + sqrt(363) - -1*sqrt(12)/sqrt(4)).
-23*sqrt(3)/2 - 4
Simplify (((sqrt(2448) - (sqrt(2448) + 1))*5 - (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-2 + -1 + sqrt(2448)))))*5)**2*1.
-2400*sqrt(17) + 61600
Simplify 6*((sqrt(160)/(sqrt(16)/sqrt(4)))/sqrt(8))**2*1.
30
Simplify (sqrt(56) - (sqrt(56) + sqrt(448)/(sqrt(24)/sqrt(3))) - sqrt(6776)*1)/(sqrt(1152)*1 - -5*(sqrt(128) - sqrt(8))).
-4*sqrt(7)/9
Simplify (-6*(-4*(5 + -1*sqrt(3)) - 5*(sqrt(27) + sqrt(54)/sqrt(2))))**2.
37440*sqrt(3) + 87408
Simplify ((-1 + sqrt(12)/sqrt(4))**2 - 1*sqrt(48)) + 5 + (-2 + sqrt(300) + sqrt(300))**2 + -5 + (sqrt(3) - sqrt(3)*-1).
-84*sqrt(3) + 1208
Simplify (0 + 5*(2 + 5 + 0 + sqrt(32)))*-1.
-35 - 20*sqrt(2)
Simplify (2 + 2 + (sqrt(125)*2 + sqrt(125))**2 + -3 + 3)*-3.
-3387
Simplify (((sqrt(1573) - 3*(sqrt(1573) - sqrt(1573)*2)) + sqrt(1573))**2 + ((1 + 1 + sqrt(1573))**2 - sqrt(1573)))*-6.
-245412 - 198*sqrt(13)
Simplify (-4 + 2*((sqrt(500) - (4 + (1*sqrt(500) - sqrt(500)))) + -4))**2.
-800*sqrt(5) + 2400
Simplify (sqrt(91) - -2*sqrt(91)*-5)/sqrt(7) + (sqrt(1053) - -6*sqrt(1053)*6).
324*sqrt(13)
Simplify (3*sqrt(832) + -1 - (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + -2*(sqrt(117)*3 - sqrt(117) - sqrt(117)) + sqrt(117)) - sqrt(117)))/sqrt(9))**2.
-48*sqrt(13) + 7489
Simplify -5 + (2*sqrt(832) + 1 + 1)**2.
64*sqrt(13) + 3327
Simplify ((2*((sqrt(931)*-1 - sqrt(931)) + sqrt(931)) - (sqrt(931) + sqrt(931) + -1 + 5))*-6)**2*6.
48384*sqrt(19) + 3220992
Simplify ((5 + (1*sqrt(35))/sqrt(5))*-5)**2 + (-5 + sqrt(175) + (sqrt(175)*-2 - sqrt(175)) + sqrt(175))*-5.
275*sqrt(7) + 825
Simplify -1*(((1*(1*sqrt(156) - sqrt(156)))/sqrt(12))**2 - (4 + (sqrt(104) + (sqrt(104) - sqrt(104)*-3))/sqrt(8))).
4 + 5*sqrt(13)
Simplify (sqrt(44)/(sqrt(12)/sqrt(3)))**2*-6 - (-2 + sqrt(275) + 1 + sqrt(275)).
-65 - 10*sqrt(11)
Simplify ((-5*sqrt(1782)*3)/(((sqrt(110)*3 - sqrt(110))*-4)/sqrt(10)))**2.
18225/32
Simplify (3*4*(-2 + sqrt(7) + sqrt(7) + 0 + (sqrt(63)*-1)/sqrt(9)))**2.
-576*sqrt(7) + 1584
Simplify 4 + sqrt(243) + (sqrt(243) + 1 + 1)**2 + (-4 + sqrt(12)/(sqrt(4) - sqrt(36)))**2.
49*sqrt(3) + 1071/4
Simplify (-1*(sqrt(76) + -6*sqrt(76)*-2 - sqrt(76)))/((sqrt(64) + sqrt(4))*-6 - (-6*(sqrt(12)/sqrt(3) + sqrt(4)) + sqrt(4))).
12*sqrt(19)/19
Simplify 0 + -6*(sqrt(304) + 1)*-5*5.
150 + 600*sqrt(19)
Simplify (sqrt(272) + sqrt(272) + -1 + 4 + sqrt(272))**2 - (sqrt(272) + 3*sqrt(272)*3).
32*sqrt(17) + 2457
Simplify (0 + -4 + 4*sqrt(176)*-2)**2.
256*sqrt(11) + 11280
Simplify -1 + -6*-1*(-4 + sqrt(125) + 1)**2*-6.
-4825 + 1080*sqrt(5)
Simplify 5*(-1 + (sqrt(242) + -2)**2)*3.
-660*sqrt(2) + 3675
Simplify (sqrt(33)/(sqrt(33)/(sqrt(6)/sqrt(2) + sqrt(3))) + (4 + sqrt(75))*1)**2.
56*sqrt(3) + 163
Simplify (sqrt(11) - (sqrt(11) - sqrt(176))**2)*2 + (sqrt(44) - (sqrt(44) - sqrt(44)*2))/sqrt(4) + sqrt(1100)*-2 + (2*sqrt(44))**2 + 5.
-16*sqrt(11) - 17
Simplify (sqrt(170)*-4*3 - sqrt(170) - sqrt(170))/((sqrt(90)*1)/sqrt(9)) + 2.
-14*sqrt(17) + 2
Simplify (5 + -2*sqrt(63)/(sqrt(9) + sqrt(27)/sqrt(3)) - (sqrt(336)/(sqrt(6)*-2))/(1*sqrt(392)))**2.
-65*sqrt(7)/7 + 869/28
Simplify (4*(sqrt(2299) - (-1 + sqrt(2299))) + sqrt(2299) + sqrt(2299) - (-1 + sqrt(2299)*1 + sqrt(2299)))**2 + -4.
21
Simplify (3 + sqrt(1088)*-2 - (-4 + (sqrt(1088) + (sqrt(1088) - (sqrt(1088) - (1 + sqrt(1088) + sqrt(1088)))) + sqrt(1088))**2)) + 5.
-17397 - 80*sqrt(17)
Simplify 3 + ((-1*(sqrt(420)/sqrt(192) - sqrt(35)))/(sqrt(196)/sqrt(7)*5))**2.
969/320
Simplify (((sqrt(136)*1 + sqrt(136) - sqrt(136))/sqrt(8))**2 + sqrt(272) + 2)*-6.
-114 - 24*sqrt(17)
Simplify ((-3 + 1*(1*sqrt(272) + sqrt(272)))*5)**2.
-1200*sqrt(17) + 27425
Simplify (5 + (sqrt(847) - (-4 + sqrt(847))) - sqrt(35)/(sqrt(50)/(sqrt(10)*-2 - sqrt(10))))**2.
54*sqrt(7) + 144
Simplify 1*sqrt(425) + -4 + 3*(sqrt(1088) + 1).
-1 + 29*sqrt(17)
Simplify (sqrt(78) + 1*(sqrt(78) - -2*sqrt(78) - sqrt(78)) - -2*sqrt(78)*1)/(sqrt(66)/(sqrt(891) + sqrt(891)*1 - sqrt(891))).
45*sqrt(13)
Simplify (sqrt(48)/sqrt(6)*6)/(sqrt(576) + (sqrt(576) - sqrt(576)*-3) + sqrt(576)) + 3.
sqrt(2)/12 + 3
Simplify (3*sqrt(684) + -2 + sqrt(1216))**2 - ((-1*sqrt(684) - sqrt(684)) + (sqrt(19) - 1*sqrt(76)))*-6.
-182*sqrt(19) + 12848
Simplify -2 + 5*(sqrt(72) - (sqrt(72) + 4*sqrt(72) + sqrt(72)))*5 + 4.
-750*sqrt(2) + 2
Simplify 0 + (((-4*sqrt(343) + sqrt(343))*-3)**2 - (sqrt(21)/(2*sqrt(243)))**2).
9001685/324
Simplify ((sqrt(99) - (-1 + sqrt(99))*-6)*5)**2 + -3 + -1.
-6300*sqrt(11) + 122171
Simplify -2 + (sqrt(567)*1 + sqrt(7) + (-1*sqrt(700) - sqrt(7)))**2 + (-1*sqrt(14)*-1)/((sqrt(18) - -2*sqrt(18))/sqrt(9)).
sqrt(7)/3 + 5
Simplify (2*(-4 + sqrt(833) + sqrt(833) + -1 + sqrt(833) + sqrt(833) + 2 + sqrt(833) + 3*sqrt(833) + sqrt(833)))**2 + -5.
-1512*sqrt(17) + 269923
Simplify sqrt(38)/sqrt(2) + 0 - sqrt(171)/(sqrt(18)/sqrt(2)) - (((1*sqrt(152) - sqrt(152)) + sqrt(152))*-6)/sqrt(8).
6*sqrt(19)
Simplify 1 + 0 + sqrt(243) + 1 - (-4 + 4*(0 + sqrt(243)) + sqrt(243))**2.
-6089 + 369*sqrt(3)
Simplify sqrt(17)*1 + -2 + -2 - (sqrt(51)/(sqrt(3)*-1 - sqrt(3)) - (sqrt(17) + (1 + sqrt(17) - sqrt(17)) + 1)).
-2 + 5*sqrt(17)/2
Simplify (sqrt(1872) + (5*sqrt(1872)*-2 - sqrt(1872)) - sqrt(1872))/((sqrt(252) + sqrt(28))/sqrt(7) + sqrt(108)/sqrt(3) + sqrt(36) + sqrt(4)).
-6*sqrt(13)
Simplify (1*(-3 + sqrt(8)) + 4 + (sqrt(2) - sqrt(250)/sqrt(5)))**2.
-4*sqrt(2) + 9
Simplify (sqrt(170)/sqrt(90) - (-1*sqrt(17)*-6 - sqrt(17)))**2 + sqrt(102)/(sqrt(18)/sqrt(3)) + -1.
sqrt(17) + 3323/9
Simplify (sqrt(99) - -5*sqrt(99))*-5 - (-3 + sqrt(1331) + 2)**2.
-1332 - 68*sqrt(11)
Simplify (-3 + sqrt(931) + -3 + -4 + 4*sqrt(931))**2.
-700*sqrt(19) + 23375
Simplify 5*(-3 + -1 + sqrt(832) - sqrt(832) - ((sqrt(832)*1*1)**2 - sqrt(832))) + 0.
-4180 + 40*sqrt(13)
Simplify ((4*sqrt(99)*-5 - sqrt(99) - sqrt(99))**2 - sqrt(99)) + sqrt(99)*-1*-3.
6*sqrt(11) + 47916
Simplify (sqrt(2736) - (-3 + (sqrt(2736) + 2 - sqrt(2736))))**2 - 2*(sqrt(19) + -2 + 0).
22*sqrt(19) + 2741
Simplify 3*(sqrt(384)/(-2*sqrt(8)) + sqrt(48) + sqrt(1200) + (sqrt(1200) - (sqrt(1200)*1 - sqrt(1200))) + sqrt(48) + -5)**2.
-1380*sqrt(3) + 19119
Simplify (4*-4*(sqrt(119) + -1*sqrt(119)))/((sqrt(7) - sqrt(7)*-2)*-2*-6).
0
Simplify (sqrt(17) - (sqrt(17) + sqrt(2057)*-2) - (sqrt(68)*2)**2) + 6*(sqrt(68)*-1)/sqrt(4).
-272 + 16*sqrt(17)
Simplify (1 + sqrt(162) + 5 + 4 + 0)*3.
30 + 27*sqrt(2)
Simplify ((-3 + sqrt(300) + 4 + sqrt(300))*-1)**2 + 5 + sqrt(300) + -6*(sqrt(300) + -3*sqrt(300))**2.
-5994 + 50*sqrt(3)
Simplify (2 + sqrt(480)/sqrt(160)*3 + 0)*6.
12 + 18*sqrt(3)
Simplify (sqrt(1584) + -5*sqrt(1584)*-6 + -1)*3*-5.
-5580*sqrt(11) + 15
Simplify -1 + (5*(sqrt(180)*1*-6 - (2 + sqrt(180) + -4)))**2.
-4200*sqrt(5) + 220599
Simplify ((sqrt(170)/(sqrt(50)/(sqrt(5) + sqrt(10)/sqrt(2))) + -6*(sqrt(3264) - sqrt(51))/sqrt(3))*3)**2.
244800
Simplify -4 + 4*(-6*sqrt(176))**2*6.
152060
Simplify 0 + (3*sqrt(363) + 2)*4.
8 + 132*sqrt(3)
Simplify -4*-2*((sqrt(475) - (0 + (sqrt(475 | {
"pile_set_name": "DM Mathematics"
} |
e
Does 1930 divide 128454341?
False
Does 34 divide 350126047?
False
Is 1556 a factor of 19460892?
True
Is 719088677 a multiple of 109?
False
Does 20 divide 906264753?
False
Does 205 divide 110102220?
True
Does 91 divide 19040294?
True
Does 1318 divide 455155484?
True
Is 599 a factor of 2606848?
True
Is 3068406 a multiple of 16?
False
Is 403 a factor of 18580718?
True
Does 4530 divide 30312028?
False
Does 281 divide 121394042?
False
Is 109 a factor of 25512104?
True
Is 5785 a factor of 443802060?
True
Is 1587800995 a multiple of 117?
False
Is 168 a factor of 2860879398?
False
Does 17 divide 433372381?
True
Is 167 a factor of 1639558739?
True
Is 3400 a factor of 297714200?
True
Is 11468 a factor of 1496414917?
False
Is 29396777 a multiple of 61?
False
Is 11295001 a multiple of 251?
False
Does 9 divide 72536526?
True
Is 410963220 a multiple of 90?
True
Does 860 divide 128399720?
True
Is 2332297944 a multiple of 2292?
True
Is 7559560 a multiple of 68?
True
Is 17 a factor of 109551795?
False
Does 70 divide 595741724?
False
Is 129 a factor of 13468193?
False
Is 18835893 a multiple of 23?
False
Does 8 divide 76016976?
True
Does 6527 divide 759227167?
True
Is 88352588 a multiple of 307?
False
Does 69 divide 79047973?
False
Does 260 divide 698737747?
False
Is 1543507836 a multiple of 16?
False
Is 53 a factor of 900700020?
True
Does 1734 divide 683196?
True
Is 2303 a factor of 111528858?
False
Is 31 a factor of 69233633?
True
Is 12 a factor of 444300?
True
Is 172 a factor of 134446380?
True
Is 13 a factor of 1039198458?
False
Is 4156 a factor of 3149348297?
False
Is 17762210 a multiple of 333?
False
Is 72149259 a multiple of 93?
False
Is 2781 a factor of 774788519?
False
Is 3 a factor of 19120206?
True
Is 13 a factor of 16264339?
True
Is 128521906 a multiple of 113?
True
Is 271 a factor of 17344000?
True
Does 5867 divide 1009887765?
False
Is 70 a factor of 655002581?
False
Is 2526 a factor of 136555259?
False
Is 9663888 a multiple of 312?
True
Is 2 a factor of 5479298?
True
Does 134 divide 129942346?
True
Is 3044 a factor of 56036996?
True
Is 896995000 a multiple of 11?
True
Does 65 divide 68304730?
True
Does 1933 divide 61999663?
False
Is 34 a factor of 151984216?
True
Is 76 a factor of 136322593?
False
Does 96 divide 747796320?
True
Is 120534543 a multiple of 1171?
True
Does 25 divide 178304800?
True
Is 23803648 a multiple of 88?
True
Is 6 a factor of 107847972?
True
Is 2752 a factor of 40682816?
True
Is 4 a factor of 724194643?
False
Is 532521 a multiple of 35?
False
Is 11 a factor of 41910298?
False
Is 1320722 a multiple of 158?
True
Is 219 a factor of 1220183247?
True
Does 10 divide 210175700?
True
Is 12 a factor of 35924148?
True
Does 2310 divide 29942220?
True
Is 12358944 a multiple of 156?
True
Is 6245 a factor of 1481838580?
True
Is 9302797 a multiple of 1164?
False
Does 1192 divide 3547693288?
False
Does 120 divide 250766400?
True
Is 377002239 a multiple of 809?
False
Is 1519552695 a multiple of 971?
False
Is 269 a factor of 1663450372?
False
Is 6 a factor of 30315941?
False
Does 225 divide 78492955?
False
Does 1213 divide 101113254?
True
Is 570272976 a multiple of 273?
True
Does 17 divide 2633670483?
False
Is 4356 a factor of 2714197464?
True
Is 37 a factor of 609241593?
True
Does 267 divide 65269752?
True
Does 40 divide 39043489?
False
Is 147 a factor of 49988967?
True
Does 841 divide 1069752?
True
Is 25657178 a multiple of 34?
False
Does 25 divide 6096434?
False
Is 104 a factor of 2942645?
False
Is 1436 a factor of 29043100?
True
Is 116758299 a multiple of 179?
True
Is 77 a factor of 84875171?
False
Is 330009200 a multiple of 100?
True
Is 1951 a factor of 1640089848?
False
Does 4866 divide 151370731?
False
Does 1949 divide 378003752?
False
Is 177 a factor of 488475042?
True
Is 56352137 a multiple of 239?
True
Does 15 divide 306929970?
True
Is 1468770292 a multiple of 44?
True
Is 24 a factor of 21924930?
False
Is 77483175 a multiple of 385?
True
Is 1196 a factor of 24602387?
False
Does 5519 divide 1077396012?
False
Is 3 a factor of 8349588?
True
Is 88762338 a multiple of 1938?
True
Does 192 divide 16942566?
False
Is 41442555 a multiple of 82?
False
Is 4576718120 a multiple of 18?
False
Is 1343373927 a multiple of 8391?
True
Does 12 divide 2396579065?
False
Is 816251331 a multiple of 433?
True
Does 212 divide 1111079704?
True
Does 278 divide 148077256?
True
Is 161 a factor of 84969752?
False
Is 47507568 a multiple of 58?
True
Is 98160663 a multiple of 95?
False
Does 1976 divide 362437693?
False
Does 197 divide 95481727?
False
Is 328 a factor of 2170376?
True
Does 4063 divide 46797634?
True
Does 738 divide 11049596?
False
Does 16 divide 490000?
True
Is 168 a factor of 41502888?
True
Is 1868117095 a multiple of 10205?
True
Does 38 divide 792015198?
False
Is 22 a factor of 264329714?
True
Is 56 a factor of 13475890?
False
Is 796488224 a multiple of 32?
True
Does 113 divide 953439986?
True
Is 902 a factor of 40710159?
False
Is 787571460 a multiple of 20?
True
Is 140230593 a multiple of 299?
False
Does 67 divide 808686833?
False
Is 8 a factor of 208730642?
False
Is 11420350 a multiple of 4?
False
Is 533324364 a multiple of 123?
False
Is 8 a factor of 957328568?
True
Is 22 a factor of 876653802?
False
Is 155 a factor of 969406270?
True
Is 137 a factor of 216534843?
False
Is 8372718 a multiple of 10?
False
Is 1003 a factor of 31428002?
True
Is 45 a factor of 743113727?
False
Is 291 a factor of 6263775?
True
Is 854134714 a multiple of 82?
True
Is 113 a factor of 3268783348?
False
Does 15 divide 265748272?
False
Is 22331603 a multiple of 677?
False
Is 891 a factor of 1673965359?
True
Is 914792678 a multiple of 1598?
True
Does 114 divide 182386206?
True
Is 6934 a factor of 279426332?
True
Does 14 divide 105703399?
False
Is 282 a factor of 50523402?
True
Is 469496639 a multiple of 21?
False
Is 73876968 a multiple of 527?
True
Is 2296 a factor of 794365488?
True
Does 1595 divide 176303110?
False
Is 204 a factor of 1567749996?
True
Does 810 divide 138698157?
False
Does 59 divide 2338712148?
False
Is 307933632 a multiple of 144?
True
Is 852105708 a multiple of 37?
True
Is 64 a factor of 191892800?
True
Is 693 a factor of 19825041?
False
Does 26 divide 18519130?
False
Is 42650630 a multiple of 38?
True
Is 80 a factor of 6816720?
True
Is 5 a factor of 8639195?
True
Is 74535402 even?
True
Does 258 divide 146743434?
True
Is 253 a factor of 1971588?
False
Is 17 a factor of 1329837862?
False
Is 1053118327 a multiple of 9?
False
Does 38 divide 326957244?
True
Is 3337 a factor of 50775959?
False
Is 1474 a factor of 31527738?
False
Does 348 divide 35629522?
False
Is 12 a factor of 911874456?
True
Does 930 divide 120276668?
False
Is 1136360826 a multiple of 486?
True
Is 213 a factor of 824829081?
True
Is 2 a factor of 23981868?
True
Is 302738378 a multiple of 9?
False
Does 362 divide 1391890?
True
Is 1633283455 a multiple of 12?
False
Is 3 a factor of 485780891?
False
Does 2 divide 241369172?
True
Is 413726469 a multiple of 49?
False
Is 57 a factor of 59717208?
False
Is 2203266020 a multiple of 7723?
False
Does 4703 divide 36584637?
True
Does 123 divide 18881976?
True
Is 13015563 a multiple of 451?
False
Is 88 a factor of 284342080?
True
Does 1197 divide 527718484?
False
Is 575242532 a multiple of 34?
True
Is 962 a factor of 54957897?
False
Does 24 divide 96226743?
False
Is 216372900 a multiple of 300?
True
Is 278 a factor of 68280195?
False
Is 65 a factor of 118863875?
True
Is 255929650 a multiple of 50?
True
Is 1524474 a multiple of 18?
True
Does 10 divide 100889380?
True
Is 612299427 a multiple of 8?
False
Is 1187853594 a multiple of 173?
False
Is 189 a factor of 5408716?
False
Does 802 divide 11207950?
True
Is 111682007 a multiple of 21?
False
Does 1404 divide 13232700?
True
Is 12731221 a multiple of 5?
False
Is 83510218 a multiple of 10?
False
Is 25 a factor of 13324291?
False
Is 2199 a factor of 22913580?
True
Does 524 divide 64723925?
False
Is 1637359531 a multiple of 124?
False
Does 6 divide 7398185?
False
Is 76169667 a multiple of 21?
True
Does 758 divide 13938862?
True
Is 412744950 a multiple of 30?
True
Does 22 divide 7906206?
True
Is 3 a factor of 979476?
True
Is 293079807 a multiple of 3477?
True
Is 16 a factor of 18477730?
False
Is 2209272 a multi | {
"pile_set_name": "DM Mathematics"
} |
62890, 2, 1, -3
Put -2, -1280, 3, 1, -29, -5 in ascending order.
-1280, -29, -5, -2, 1, 3
Put 40, -1, 4, -7, 5 in decreasing order.
40, 5, 4, -1, -7
Put 954, 3, -2 in increasing order.
-2, 3, 954
Put -1081, 2, -28 in decreasing order.
2, -28, -1081
Sort 4, 20, 0, -1, 163 in increasing order.
-1, 0, 4, 20, 163
Sort -2, -3, 1/3, 1/6, -0.01, 7857 in decreasing order.
7857, 1/3, 1/6, -0.01, -2, -3
Sort 15, 0.18, 4/3, 84, -0.4 in descending order.
84, 15, 4/3, 0.18, -0.4
Put 0.2, 109, -52, -4/7 in descending order.
109, 0.2, -4/7, -52
Put 5164, 2, -2, 4, 19 in descending order.
5164, 19, 4, 2, -2
Put 2/9, -0.08, 3876 in decreasing order.
3876, 2/9, -0.08
Sort -5, -4, 5, -85, 1 in descending order.
5, 1, -4, -5, -85
Sort 9004, 5, -4 in descending order.
9004, 5, -4
Put -3, 23, -6 in descending order.
23, -3, -6
Put -62, -0.07, -2, -9, 1/3, 2/9 in ascending order.
-62, -9, -2, -0.07, 2/9, 1/3
Sort -11, -7, -352.
-352, -11, -7
Sort 6, -11, -4, 0, 1, -3 in increasing order.
-11, -4, -3, 0, 1, 6
Sort 0.079, -2/5, 82.
-2/5, 0.079, 82
Sort -1119, 2, -11, -1.
-1119, -11, -1, 2
Sort -2397, 2, 1, 16.
-2397, 1, 2, 16
Put 433, -1, 5, 2, -4 in descending order.
433, 5, 2, -1, -4
Put 10, -4945, -1, 3 in descending order.
10, 3, -1, -4945
Sort -0.01, 5/5829, 2/7 in decreasing order.
2/7, 5/5829, -0.01
Sort -1335, -15, 3.
-1335, -15, 3
Sort -5, -2, 1199, 0, 2 in increasing order.
-5, -2, 0, 2, 1199
Put -29, 9/4, 1/3, 209 in decreasing order.
209, 9/4, 1/3, -29
Put -19, -7, -254 in descending order.
-7, -19, -254
Put -2/25, -1/5, 56 in increasing order.
-1/5, -2/25, 56
Put 5, -60, 1/3, 0, 4, -11 in decreasing order.
5, 4, 1/3, 0, -11, -60
Sort 0.052, 42, -2/33 in ascending order.
-2/33, 0.052, 42
Sort 8, -24, 0, -5, -3 in decreasing order.
8, 0, -3, -5, -24
Put 3, 518, 0, 4, -1 in descending order.
518, 4, 3, 0, -1
Sort 3, 1, 38924 in descending order.
38924, 3, 1
Put -5, 2, -4, -25, 4 in increasing order.
-25, -5, -4, 2, 4
Sort -2, 8, 9, -5, -2813, -1.
-2813, -5, -2, -1, 8, 9
Put -1, 2833, 12 in descending order.
2833, 12, -1
Put -9, -10, -5, 4, -111, 1 in descending order.
4, 1, -5, -9, -10, -111
Put -4/3, -82, 0 in descending order.
0, -4/3, -82
Put -1, 12, 0.3, 4, -0.4, -3.41 in decreasing order.
12, 4, 0.3, -0.4, -1, -3.41
Put -104, 28, 5 in increasing order.
-104, 5, 28
Sort 2/3, -6, -3, 5, -0.4, 4 in descending order.
5, 4, 2/3, -0.4, -3, -6
Put -2, 1, 6, 0, 7 in decreasing order.
7, 6, 1, 0, -2
Sort 1, -20384, 4 in decreasing order.
4, 1, -20384
Put -3, 2, -1, 3, 13, -29 in increasing order.
-29, -3, -1, 2, 3, 13
Sort -4/9821, 1.2, -2.
-2, -4/9821, 1.2
Sort 14, -164, 3, -5, -4.
-164, -5, -4, 3, 14
Sort 24, -3, -1, -2.799.
-3, -2.799, -1, 24
Sort -5, -1673, 4, -2 in decreasing order.
4, -2, -5, -1673
Sort 7, -31.7, 0.3, 1/33 in decreasing order.
7, 0.3, 1/33, -31.7
Sort 315, 3/2, 4, 2 in descending order.
315, 4, 2, 3/2
Put 0, 1159, -1, 3, 4 in descending order.
1159, 4, 3, 0, -1
Sort -1/3, -137, 5, 0.5, -0.5, -2 in ascending order.
-137, -2, -0.5, -1/3, 0.5, 5
Put 15, 3, 14, -16 in descending order.
15, 14, 3, -16
Sort -5, -2, 6, 273, -4, -1 in descending order.
273, 6, -1, -2, -4, -5
Put 5, -1, 18, 1, -9 in decreasing order.
18, 5, 1, -1, -9
Put 29, 41, 1, 4 in decreasing order.
41, 29, 4, 1
Sort -8, 4, 15833 in ascending order.
-8, 4, 15833
Sort -8, -3, 285, 0, 1, -2 in decreasing order.
285, 1, 0, -2, -3, -8
Sort -89600, 1, -1/6 in decreasing order.
1, -1/6, -89600
Sort 15, -5, -139 in ascending order.
-139, -5, 15
Put -145, -3, -1, 2, -5, 4 in descending order.
4, 2, -1, -3, -5, -145
Sort 4, -1, -11, -9, 3, -14.
-14, -11, -9, -1, 3, 4
Put 2.9, 2/31, -8/5 in ascending order.
-8/5, 2/31, 2.9
Sort 0.04, -3, 14/5, -7.
-7, -3, 0.04, 14/5
Put -31, 120, 3, -4, 4 in decreasing order.
120, 4, 3, -4, -31
Sort -6/5, -0.3, 102, 4 in ascending order.
-6/5, -0.3, 4, 102
Put -0.03, 524, 4, -0.5, -5, -0.2 in ascending order.
-5, -0.5, -0.2, -0.03, 4, 524
Sort 3, -5, 0.06, 4/33, -0.5 in increasing order.
-5, -0.5, 0.06, 4/33, 3
Put -121, 1, 0.06, 8, -1 in descending order.
8, 1, 0.06, -1, -121
Put 8, -64, -1, 28 in descending order.
28, 8, -1, -64
Sort -49, 0.4, -3, -2/7, 1/4 in increasing order.
-49, -3, -2/7, 1/4, 0.4
Sort 108, 1, 6, -5, -1, 4 in decreasing order.
108, 6, 4, 1, -1, -5
Sort -5, -741, 5, -2 in decreasing order.
5, -2, -5, -741
Put 61, 258, -1 in descending order.
258, 61, -1
Put 5, -121658, 0 in increasing order.
-121658, 0, 5
Put -1/3, 1, -7.5 in descending order.
1, -1/3, -7.5
Sort -16, -0.4, -5, 50 in descending order.
50, -0.4, -5, -16
Sort 1, -4/3, 2/9, -1/647, 0.3 in ascending order.
-4/3, -1/647, 2/9, 0.3, 1
Put -4, 18, -142, 4, -3 in decreasing order.
18, 4, -3, -4, -142
Sort 4, -2810, -233 in descending order.
4, -233, -2810
Put 13, 1, 1586 in increasing order.
1, 13, 1586
Put -175, 4, 1, -5, 18 in decreasing order.
18, 4, 1, -5, -175
Put 2/87, 4, -1414 in decreasing order.
4, 2/87, -1414
Put 4, -36, -208 in ascending order.
-208, -36, 4
Sort -37594, 3, -17 in ascending order.
-37594, -17, 3
Sort 0, -727, 0.4, -2, -3, 2 in decreasing order.
2, 0.4, 0, -2, -3, -727
Put 0, 582, -21 in increasing order.
-21, 0, 582
Put 0.5, 2/325, -1/2, -4, -2/33 in ascending order.
-4, -1/2, -2/33, 2/325, 0.5
Put -2, 9, 3, -0.009, -2/9, 0.01 in decreasing order.
9, 3, 0.01, -0.009, -2/9, -2
Sort -2, -45, 12, -1, 2/9.
-45, -2, -1, 2/9, 12
Put 55, -2477, -12 in descending order.
55, -12, -2477
Put -9, -36, -6, -1, 5 in descending order.
5, -1, -6, -9, -36
Sort 17718, -1, -2, -3 in increasing order.
-3, -2, -1, 17718
Put -10.6, 4, 1/3, -0.2, -3, -4/9 in increasing order.
-10.6, -3, -4/9, -0.2, 1/3, 4
Put -3, -194/3, -5, 3 in increasing order.
-194/3, -5, -3, 3
Sort -2.6, -0.1, -11475 in descending order.
-0.1, -2.6, -11475
Sort 273, 4, 18 in ascending order.
4, 18, 273
Put -5, -1091, 0 in descending order.
0, -5, -1091
Put 1, 6312, -4 in descending order.
6312, 1, -4
Sort 75, -4, -3, -41 in descending order.
75, -3, -4, -41
Put -1/5, 1.8, 4.55, 3, -0.4 in ascending order.
-0.4, -1/5, 1.8, 3, 4.55
Sort -1, 58, 0, -188, -2, 4 in decreasing order.
58, 4, 0, -1, -2, -188
Sort -0.2, 5, -2167852.
-2167852, -0.2, 5
Sort -1, -22, 0, 1, -23.
-23, -22, -1, 0, 1
Sort -43, 2, 46, -2, -5, 0 in decreasing order.
46, 2, 0, -2, -5, -43
Put 2, -4, -11, 33, 43 in descending order.
43, 33, 2, -4, -11
Sort 5, 51, -0.2, 41, -5, 1 in ascending order.
-5, -0.2, 1, 5, 41, 51
Sort 0.06, 1.2, 1/3, -3/7, -1 in increasing order.
-1, -3/7, 0.06, 1/3, 1.2
Sort -1, -3/5, -348, -0.5, -1/9 in increasing order.
-348, -1, -3/5, -0.5, -1/9
Put -3, 5, 3, 8, -150 in descending order.
8, 5, 3, -3, -150
Put 2/11, -4, -20596.7, -1/5 in ascending order.
-20596.7, -4, -1/5, 2/11
Sort -8, -0.053, -4, 5, -2/9 in increasing order.
-8, -4, -2/9, -0.053, 5
Sort -3, -1, 1, -4, -13.
-13, -4, -3, -1, 1
Sort -2, 1, -21, -8 in increasing order.
-21, -8, -2, 1
Sort 189, -461, -0.4 in descending order.
189, -0.4, -461
Sort -192338, -5, 0.3 in descending order.
0.3, -5, -192338
Put -86/13, -0.2, 1.9 in increasing order.
-86/13, -0.2, 1.9
Sort 52.8, 3, 1/6, 2.
1/6, 2, 3, 52.8
Put 172, -15, 4, -3, -1, -2 in increasing order.
-15, -3, -2, -1, 4, 172
Put -1, 129, -948, 4 in decreasing order.
129, 4, -1, -948
Sort 0, -40668, 0.1, -2.
-40668, -2, 0, 0.1
Sort 54, -3/2, 1/809, -1 in decreasing order.
54, 1/809, -1, -3/2
Put 548, 27, 0 in descending order.
548, 27, 0
Sort -125, 37, -1/19, 1/2.
-125, -1/19, 1/2, 37
Sort -160, 8, 3, -5, 5.
-160, -5, 3, 5, 8
Put 0.01936, -0.4, -7 in increasing order.
-7, -0.4, 0.01936
Sort 4, 558, -38 in decreasing order.
558, 4, -38
Put -1, -3, 921, 4 in descending order.
921, 4, -1, -3
Sort 101, 5, -2, -0.3, 3, 0.4 in ascending order.
-2, -0.3, 0.4, 3, 5, 101
Put 0.1, -0.4, -7.2, -198 in ascending order.
-198, -7.2, -0.4, 0.1
Sort 1/2, 2/549, 0.3.
2/549, 0.3, 1/2
Put -4, -13741, -1, 3 in descending order.
3, -1, -4, -13741
Put 3, 5, -4, 18, 12, 0 in increasing order.
-4, 0, 3, 5, 12, 18
Put 0, -0.4, 0.5, 8955, -3/5 in decreasing order.
8955, 0.5, 0, -0.4, -3/5
Sort 2798, -4, 1, 3, -5, 5 in descending order.
2798, 5, 3, 1, -4, -5
Sort 0.4, -3/5, 0.474, 3 in descending order.
3, 0.474, 0.4, -3/5
Sort -1, 1, -1/29, 14.5, -2/7.
-1, -2/7, -1/29, 1, 14.5
Sort 0.1, 0.012, 2654 in decreasing order.
| {
"pile_set_name": "DM Mathematics"
} |
ative of -j**4/6 - 29*j**3/6 - 6*j**2 - 6. Let x(t) = 3*t + 20. Let n(v) = -5*d(v) - 7*x(v). What is n(0)?
5
Suppose -2*h + 6 = 0, -676 = -16*v + 12*v + 4*h. Let r = -165 + v. Let t(j) = -j**2 + 8*j + 2. Determine t(r).
9
Suppose -2*w - 4*z - 8 = 2*w, 35 = 5*w - 4*z. Let y(t) = -4*t - 40 + 41 + w*t. What is y(-3)?
4
Let i = 108 - 81. Let w(y) = 51*y**3 - 25*y**3 - 3*y**2 - i*y**3 + 5*y + 1. Let j(o) = o**3 + 11*o**2 + 11*o + 6. Let q be j(-10). Give w(q).
-3
Let t = -846 - -849. Let x(j) be the third derivative of 0*j - 1/3*j**4 + 0 - 5/6*j**t - 1/60*j**5 - 30*j**2. What is x(-6)?
7
Let j = -65 + 81. Suppose 10 = -j*s + 21*s. Let u(w) = -w - 11 + 3*w + s - 4*w. Calculate u(-6).
3
Let h(w) = -w + 5. Let x be h(8). Let j(k) = -21*k**3 + 3*k**2 + 37*k + 2. Let c(m) = -2*m**3 + 3*m. Let z(g) = 11*c(g) - j(g). Give z(x).
10
Let g(d) = 63*d**2 - 12*d + 4. Let n(v) = 84*v**2 - 16*v + 5. Let p(q) = 11*g(q) - 8*n(q). What is p(2)?
80
Suppose 0 = 8*d - 4*d + 4*h, 15 = d - 4*h. Let i(y) = y**3 - 2*y**2 + 3*y + 5. What is i(d)?
23
Let b(d) = -d**3 - 10*d**2 - 14*d + 19. Let a be b(-8). Suppose a*v + 24 = 11*v. Let k(z) = -95*z**2 - z**v - 2*z + 2 + 2 + 101*z**2 + z. Give k(6).
-2
Let a(k) = 2*k**2 - k + 15. Suppose 0 = 3*p - 5*w + 15, w = -3*p + 10 - 7. What is a(p)?
15
Let v = -17 + 19. Suppose v*o + 2*o + 22 = 2*d, 4*d - 5*o - 32 = 0. Let k(u) be the third derivative of -u**4/8 + 2*u**3/3 + 9*u**2. What is k(d)?
-5
Let t(j) be the first derivative of -19*j**7/840 - j**6/360 + j**5/120 + j**4/24 + 2*j**3 - 2*j - 78. Let n(a) be the third derivative of t(a). Determine n(-1).
18
Let s(b) = b**3 - b**2 - 3*b - 4. Let a = -235 + 238. Suppose 0 = a*q - 9, i + 5*q - 9 = 3*i. What is s(i)?
5
Let h be 2/8 + (-6)/(-48)*54. Let m be ((h - -1)/2)/(172/86). Let d(x) = -7*x**2 + 2*x + 1. Give d(m).
-23
Let r(b) = -b - 19. Suppose -5*c = -5*g - 95, -5*c + 9 = g - 32. Determine r(c).
-29
Let y(m) = 65 + 16*m**2 + 4*m - 3279488*m**3 + 3279487*m**3 + 9*m. Give y(17).
-3
Let j(v) be the first derivative of 14*v + 7/6*v**3 + 1/2*v**2 - 1/12*v**4 - 16. Let g(n) be the first derivative of j(n). Determine g(6).
7
Let f(z) = 9*z**3 + 5*z**2 - 2*z - 11. Suppose -11*g - 2*g + 39 = 0. Let n(d) = -4*d**3 - 3*d**2 + 5. Let l(s) = g*f(s) + 7*n(s). What is l(-5)?
7
Let l(j) = 29*j**2 + j + 1. Let u(i) = 144*i**2 - 8*i - 53. Let t(h) = 5*l(h) - u(h). What is t(-6)?
16
Let o = -4526 - -4533. Let m(v) = 5*v**2 - 5*v**2 - 7*v**2 + v**3 - 4 - 2*v. Determine m(o).
-18
Suppose 0 = v + 2 - 8. Let m be (v/(-21))/((-2)/(-14) - 0). Let t(n) = 2*n**3 + 4*n**2 - 2 - 3*n - 2*n**2 - n**3. Determine t(m).
4
Suppose -5*s - 25 = 3*l, -3*s = -2*l + 128 - 113. Let o(j) = 12*j + 34 - 12 + 30. Let i be o(s). Let d(v) = -v**3 - 9*v**2 - 7*v + 1. Calculate d(i).
-7
Let c(d) = -2*d**3 + 20*d**2 + 22*d - 2. Let l = -793 - -804. Give c(l).
-2
Let n(c) be the first derivative of -17/3*c**3 + 173 + 1/4*c**4 - 9*c**2 - 3*c. What is n(18)?
-3
Let p(r) = -10*r**2 - 25*r - 7. Let x(w) = -3*w**2 - 8*w - 2. Let z = 23 + -25. Let t(o) = z*p(o) + 7*x(o). Determine t(-5).
5
Let h(c) be the second derivative of 0 + 8*c**2 + 1/120*c**6 + 0*c**3 + 19*c + 7/60*c**5 - 1/24*c**4. Let y(l) be the first derivative of h(l). What is y(-7)?
7
Let x(i) = i**3 - 3*i**2 + 2*i. Let g(c) = -c + 32. Let f(o) = o**3 - 11*o**2 + 30*o - 18. Let z be f(8). Let w be g(z). Determine x(w).
0
Let r(i) be the third derivative of -11*i**4/12 - 29*i**3/2 - 5981*i**2. What is r(-4)?
1
Let f(v) = -4*v**2 + 2*v + 3. Let u = 220 - 118. Let m = -104 + u. Calculate f(m).
-17
Suppose -20*d - 36*d + 268 = 11*d. Let m(g) be the second derivative of -g**4/12 + 2*g**3/3 + g**2/2 - g. What is m(d)?
1
Let b(m) = 7*m**2 - 68*m + 63. Let d(h) = 2*h**2 - 21*h + 21. Let t(u) = 3*b(u) - 10*d(u). Give t(-15).
114
Let y(h) = 19*h + 681. Let n(k) = 5*k + 182. Let g(v) = -15*n(v) + 4*y(v). Give g(7).
1
Suppose -422*c + 299*c = 369. Let x(a) = a**3 - 2*a + 4. What is x(c)?
-17
Let z be 2/(-2 - (-39)/9)*7. Let n be 12/z*-2*(-1)/(-1). Let l(m) = -m**2 - 2*m - 3. Calculate l(n).
-11
Suppose 0 = 331*n + 1625 + 692. Let c(d) = -2*d**2 - 5*d + 24. Give c(n).
-39
Let a(s) be the second derivative of -s**4/12 + s**3/6 + 3*s**2 + 38*s. Let p(c) = 5*c**2 - 134*c - 21. Let g be p(27). Calculate a(g).
-24
Let l(r) be the third derivative of -9*r**6/40 - r**5/30 + r**4/8 - r**3/6 - 447*r**2. Determine l(1).
-27
Let p(k) be the first derivative of -1/24*k**4 - 1/20*k**5 + 0*k**2 + 0*k - 46 - 13*k**3. Let x(d) be the third derivative of p(d). What is x(-1)?
5
Let v(y) = -72*y - 30. Let h(a) = -7*a - 3. Let k(l) = -21*h(l) + 2*v(l). Suppose 2*i + 3*i = 25. Calculate k(i).
18
Let q(v) = 2*v**2 - 7*v - 4. Let p be (-22)/((-330)/135) + -3. Determine q(p).
26
Let o = -2 - 3. Let f(t) = t. Let g(p) = p**3 + 4*p**2 - 2*p + 1. Suppose -63 + 27 = 12*q. Let j(s) = q*f(s) + g(s). Give j(o).
1
Suppose 6 = 2*c, -c - 17 = -2*x + 8. Suppose 0 - x = -2*u. Let r(v) = 2*v - 11. Let l be r(u). Let g(n) = n**3 - 5*n**2 + 3*n - 1. Determine g(l).
-10
Suppose -67*b + 60*b - 70 = 0. Let c(x) = -12*x - 123. What is c(b)?
-3
Let w(h) be the second derivative of h**3/3 - h**2 - h. Suppose t - 3*p - 6 = -2, -4*t - 3*p = -46. Suppose 2*y - 2*f - 6 = -3*f, -5*f = t. What is w(y)?
6
Let s(z) = -z**2 + 5. Let f be (1 - 1) + 27/(-9). Let v(b) be the first derivative of b**3/3 + 3*b**2 + 4*b + 74. Let i be v(f). What is s(i)?
-20
Let t(d) = -10*d + 3. Let a = 4431 + -4428. Calculate t(a).
-27
Let s(u) = u - 19. Suppose -47*d - 229*d + 1932 = 0. Determine s(d).
-12
Let s(n) be the first derivative of n**3/3 - 3*n**2 - 3*n + 24. Suppose j = h - 12, 3*h - 12 = 4*h + 5*j. Give s(h).
13
Let d(c) = -12*c**3 - 3*c**2 + 9*c + 5. Let p be d(-2). Suppose 21 = -23*n - p. Let z(a) = a**2 + 4*a - 2. Determine z(n).
-2
Let r(l) be the second derivative of l**3/6 + 3*l**2/2 - l. Let f(u) = -32*u + 1384. Let h be f(43). What is r(h)?
11
Let y(q) = q**3 - 10*q**2 + 20*q + 40. Let l be y(6). Suppose 4*u - 9 = 3. Let r(b) = 3*b**3 - 19 + l - 5*b + u*b**2 - 2*b**3. Calculate r(-3).
12
Let p(y) = 6 + 13 - 2*y + 8 + 9 - 41. Let m = -150 - -145. Give p(m).
5
Let b(r) = -2*r**2 - 6*r - 13. Let a be (4/(-16))/((-1)/4)*-2. Let l be b(a). Let c(x) = -x**2 - 10*x + 5. Give c(l).
14
Let m(k) = 2*k**2 - 10*k + 104. Let t be m(12). Let x = t - 287. Let f(w) = -w**3 - 14*w**2 + 16*w + 8. Give f(x).
-7
Let c(r) = -r**2 + 4*r - 4. Let q be c(4). Let t = 9 + q. Let o(n) be the second derivative of -n**4/12 + 5*n**3/6 + 5*n**2/2 - 3*n - 150. Give o(t).
5
Let h = -615 - -975. Let u be (h/150)/(8/10). Let i(p) = p**3 - 4*p**2 + 5*p - 5. Calculate i(u).
1
Let p(a) = -32*a - a**2 + 2*a**2 + 40*a + 3. Let n = 126 - 124. Suppose -11*o - 78 = n*o. Give p(o).
-9
Let f(r) = -31*r**3 - r**2 + 4*r + 3. Suppose -6*u = -6*u - 6*u - 6. Calculate f(u).
29
Let z(j) = -10*j - 32. Let n(m) = m**2 + 12*m. Let f(q) = n(q) + z(q). Calculate f(0).
-32
Let x(b) be the first derivative of -3*b**2/2 - 8*b - 3193. What is x(-15)?
37
Suppose 0 = 549*a - 548*a - 4. Let s(c) = -1 - 20*c + a + 41*c - 17*c + 5*c**2. Determine s(-2).
15
Let c(w) = -11*w - 1. Let i(d) = 3*d - 2. Let h(n) = -c(n) - 2*i(n). Determine h(2).
15
Suppose 3 - 9 = -2*h. Let r(p) be the first derivative of 4*p + 4 + 2 + 0 - h + p**2. Calculate r(-4).
-4
Suppose 4732 = 5*j + 4642. Let h(m) = m**2 - 28*m + 187. What is h(j)?
7
Let b(v) = 5*v + v**2 - v - 69 + 30 - 8*v. What is b(-5)?
6
Let w(f) = 3 - 7*f**2 + 7*f - 2 - 5 + 2 + f**3. Suppose 5*o - 34 = -4*k - 8, -k = 2*o - 11. Calculate w(o).
4
Let g(u) = 227 - 4*u**3 - 230 - 19*u**2 + 3*u**3 + 3*u - 6*u + 36*u**2 - 13*u**2. Suppose 4*s = s + 9. Determine g(s).
-3
Let z(i) = -8 + 9 + 13*i - 18 - i**2 + 8. What is z(18)?
-99
Let a(s) = -s**3 + 5*s**2 - 3*s + 2. Suppose -50*j - j - 95*j = -730. What is a(j)?
-13
Let a(q) = -3*q + 4. Let n(m) = -8*m + 11. Let x(t) = 11*a(t) - 4*n(t). Let i(b) = b + 1. Suppose -9*g + 6 = -3*g. Let v(w) = g*i(w) + 3*x(w). Calculate v(6).
-11
Let i = -8267 - -8281. Let n(h) = -5*h + 99. Give n(i).
29
Let w(u) = -u + 3. Let q(o) = -o. Let h(c) = -20*c - 127. Let p(j) = h(j) + 2*q(j). Let t be p(-6). Calculate w(t).
-2
Let m(i) = -13*i**2 + 217*i - 736. Let h be m(12). Let d(o) = 0*o + 3*o + 0*o + 6 - o**2. Give d(h).
-22
Let p(y) = | {
"pile_set_name": "DM Mathematics"
} |
hat is the highest common divisor of g and w?
9
Let t(k) = 2*k**2 - 29*k - 90. Let y be t(18). Calculate the highest common divisor of 44 and y.
4
Suppose 4*s + 236 = 5*i - 189, i + 4*s - 85 = 0. Calculate the highest common factor of 119 and i.
17
Let s(l) = -3*l**3 - 2*l**2 - l. Suppose -14 = 6*z - 2. Let v be s(z). What is the greatest common divisor of 27 and v?
9
Suppose 15*z = 28*z - 3120. What is the greatest common divisor of z and 72?
24
Let d = 110 + -86. What is the highest common divisor of 216 and d?
24
Let w = 286 - 284. What is the greatest common factor of w and 3?
1
Suppose 0 = -13*b - 17*b + 5280. What is the highest common factor of b and 32?
16
Let f = -45 - -49. Suppose y + 27 = o + f, 0 = -5*o - 2*y + 136. What is the highest common factor of o and 13?
13
Let l = 3058 - 2134. What is the greatest common divisor of l and 33?
33
Suppose m = 2*h + 2*m - 122, -3*h = -3*m - 192. Calculate the greatest common divisor of h and 248.
62
Let w = 8 + -6. Suppose j + 2 = 0, 4*q - 22 = w*j + 3*j. Suppose -5*i + 45 = 5*u - i, -5*u = 2*i - 45. What is the highest common divisor of q and u?
3
Let t be (18/63)/(1/7). Suppose -5*g - h = -0 + 5, h + 5 = 5*g. Let f be -3 - -5 - g/(-1). What is the greatest common divisor of f and t?
2
Let f(r) = 4*r**2 + 88*r - 87. Let b be f(-23). Let q(v) = -v + 5. Let y be q(0). What is the highest common factor of b and y?
5
Let w = -2014 + 2824. Calculate the highest common factor of w and 108.
54
Let v be 1 - (-69)/(-6)*4. Let z be 2/9 + 730/v. Let n be (-1)/(((-20)/z)/(-5)). What is the highest common factor of 32 and n?
4
Let g = -12489 + 12498. Let z be (4*1)/(2/36). Calculate the highest common divisor of g and z.
9
Let y = -6 + 42. Let z(j) = 2*j - 32. Let o be z(17). Suppose -3*h - 2*h + 286 = -4*t, 4*t = o*h - 124. What is the greatest common divisor of y and h?
18
Let w(v) = 1 + 2 + 5*v - 1. Let r be w(6). Let x be (-42 + -6)*(8/(-6) + 1). What is the greatest common factor of r and x?
16
Suppose -h - 4*t = -64, -4*t - 81 = -3*h + 95. Calculate the highest common factor of h and 36.
12
Suppose -17*v + 636 = -146. Calculate the greatest common divisor of 1518 and v.
46
Let w(m) = m**3 + 24*m**2 - 41*m - 35. Let d be w(-25). Calculate the greatest common divisor of d and 73.
73
Suppose -p - 19 = -5*h + 3*p, -p = -2*h + 7. Let v be (383 - -5)*((-15)/(-12))/5. Let d = v + -73. What is the greatest common factor of h and d?
3
Suppose 0 = -4*y - 10 + 18. Let f be y/2 + (-60)/(-2). Calculate the greatest common divisor of 217 and f.
31
Suppose -5*w + 20 = 3*f, -4*f + 3*w + 0*w = -17. Suppose 237 = f*a - 528. Let z = -18 + 35. Calculate the highest common divisor of a and z.
17
Let l = -9 + 1. Let y = l + 23. What is the greatest common divisor of y and 135?
15
Suppose 563 + 225 = 2*r. Suppose -5*t + 2*a = -t - 314, -r = -5*t + 3*a. Calculate the greatest common factor of 7 and t.
7
Suppose -u = 5, 4*r - 561 + 23 = 2*u. Calculate the greatest common divisor of r and 24.
12
Let d = 780 - 676. What is the greatest common divisor of 325 and d?
13
Let q(i) = 3*i**2 - 23*i + 2. Let r be q(7). Let f = r - -80. What is the greatest common factor of f and 51?
17
Let i(h) = -h**2 - 23*h - 54. Let o be i(-15). What is the highest common factor of o and 110?
22
Let q(v) = v**2 - v + 5. Let j be q(4). Calculate the highest common factor of j and 34.
17
Suppose 0 = 5*n + q - 24, -3*n + q = -11 + 3. Suppose 5*c - 3*o = 639, o - n*o = -2*c + 261. Calculate the greatest common divisor of c and 14.
14
Suppose 23 = z + 65. Let m be 28/z + (-11)/(-3). Let j be (-32)/(-18) + 2/9. Calculate the greatest common divisor of m and j.
1
Suppose 10 = n + 5. Suppose 0 = -3*c + 5 + 1. Suppose -141 = -4*m + o, 5*o - c*o = -3. Calculate the highest common factor of n and m.
5
Let o(z) = -z**3 - 20*z**2 + 22*z + 23. Let p be o(-21). Suppose 40 = -p*b + 240. Let g be (10/6)/(4/24). What is the greatest common factor of g and b?
10
Suppose 0 = p + 2, 2*h = -2*p + 4 + 2. Suppose -h*c - 2 = 2*f - 5, 2*f + 7 = 5*c. Let d be c*2 + (10 - -42). Calculate the greatest common factor of 18 and d.
18
Let b = -2408 - -2438. Calculate the highest common divisor of 1310 and b.
10
Let z be 436/(-40) + (-1)/10. Let x(k) = -4*k + 4. Let a be x(z). Calculate the highest common factor of 16 and a.
16
Let a = -1429 + 1690. Calculate the highest common divisor of 116 and a.
29
Suppose 5*b - 5*d = 60, 0 = -4*b - 2*d + 35 + 1. Let v = b - 9. Suppose -2*p - 4 = -2*x, x + 12 = 2*x + 4*p. What is the greatest common factor of v and x?
1
Let o = -47 + 49. Suppose -3*t - y + 4 = 3*y, -2 = o*t + 5*y. What is the greatest common factor of 4 and t?
4
Let w be (-1 - (-3)/2)*-14. Let q(t) = -t - 11. Let r be q(w). Let i be 1 + r + 2 - -56. Calculate the highest common divisor of 5 and i.
5
Let g(m) = -m + 1. Let a(i) = i**2 - 7*i + 7. Let o(d) = -a(d) - 5*g(d). Let f be o(8). What is the greatest common divisor of f and 4?
4
Let w = 54 + -51. Suppose 6*b - w*b - 54 = 0. Calculate the greatest common divisor of 162 and b.
18
Suppose 1620 = -2*q + 7*q. Suppose 85*v - 65*v = 240. What is the greatest common divisor of q and v?
12
Let k be (4 + -4)/((3 - 1)*-1). Suppose -z + 2*p = -p, k = z + 4*p - 14. Calculate the highest common factor of z and 8.
2
Let h = 1566 - 1549. Calculate the greatest common factor of 612 and h.
17
Let n(w) = -17*w + 3. Let r(f) = 6*f - 1. Let q(u) = 4*n(u) + 14*r(u). Let v be q(1). Suppose -v = 2*b - 74. What is the greatest common divisor of 12 and b?
6
Suppose 2*o + m - 214 = 188, -4*m = 4*o - 808. What is the highest common factor of o and 16?
8
Let k be ((-4)/(-8))/((-1)/(-18)). Let z(m) = -m**2 + 12*m**2 + 3*m**2 + 0*m**2 - 3*m + 1. Let f be z(-2). Calculate the greatest common divisor of f and k.
9
Let y = 315 - 312. What is the greatest common factor of y and 129?
3
Suppose 0 = -29*y + 333 + 44. Calculate the highest common factor of 572 and y.
13
Let b be 41 + 13 - (-1 + 5). Let q be -20*5/(-8)*2. Calculate the greatest common factor of q and b.
25
Let i be (12/8)/(34/476). Suppose -4*j = -3*x + 709, 0*j = 3*j + 12. What is the highest common factor of x and i?
21
Let i = -2758 + 2773. What is the highest common divisor of 186 and i?
3
Let p(x) = -x**3 + 6*x**2 - 4*x + 3. Let n be p(2). Suppose 0 = -14*t + n*t + 36. What is the highest common divisor of 48 and t?
12
Suppose -3*x - p + 17 = -5*p, 2*p - 11 = -5*x. Suppose x*w - 31 = a, w - 5*a = -w + 25. Calculate the greatest common factor of w and 15.
5
Let q be (322 - (1 - -6))*1. What is the highest common divisor of q and 525?
105
Let r = -2 - -2. Suppose 0 = -5*s + x + 20, 0 = -4*s - r*s + 2*x + 10. Let u be -3 + 5 - (2 - 2). Calculate the highest common divisor of u and s.
1
Let q(i) = 2*i**2 - 7*i + 18. Suppose -4 - 4 = -y. Let w be q(y). Calculate the greatest common divisor of 10 and w.
10
Let u(r) = -3*r**2 + 3*r + 6. Let v be u(-4). Let j = -48 - v. What is the greatest common divisor of 24 and j?
6
Let n = -227 + 490. Suppose 0 = z + 3*z - 5*m - 515, 2*z - n = -3*m. Calculate the highest common factor of z and 26.
26
Let z = 11 - -4. Calculate the greatest common divisor of 1605 and z.
15
Suppose -5*m + 3*g = 2 - 18, -3*m = g - 4. Calculate the highest common factor of m and 5.
1
Suppose -5*g - 6 = -2*r + 5, 5 = r - 3*g. Suppose 0 = 4*d - 2*d + 148. Let b = d - -98. Calculate the highest common factor of b and r.
8
Let m(w) = -w**3 - 5 - 15 + 26*w**2 + 25*w**2 - 42*w**2 - 2*w. Let a be m(8). Calculate the highest common divisor of a and 112.
28
Suppose 3*x - x - 47 = 5*v, 5*x + 5*v = 135. Let j = -12 - -14. Suppose j*y = -2*b + 362, -4*y + y = -5*b + 913. What is the highest common factor of x and b?
26
Suppose 45*t - 42*t - 42 = 0. Calculate the greatest common divisor of 1162 and t.
14
Let k be (-6 + 7)*((-14)/2 + 691). Calculate the highest common factor of 144 and k.
36
Let i(a) be the third derivative of -a**6/120 - 7*a**5/60 - 5*a**4/12 + a**3 + 5*a**2. Let x be i(-5). What is the greatest common divisor of 4 and x?
2
Suppose 29*h - 34*h = -20. Suppose l - 148 = -h*m, 5*l = -m - 288 + 1028. What is the greatest common factor of l and 37?
37
Suppose -t = t - 10. Let x be (-4)/(-6)*1/((-10)/(-135)). Suppose -3*d = x, -4*n - 4*d = -n - 93. What is the highest common | {
"pile_set_name": "DM Mathematics"
} |
is the second derivative of -2697436*z**2 - 3922876*z?
-5394872
Differentiate 1739*g**2*w + 5*g**2 - 6058*g + 9*w - 1 with respect to w.
1739*g**2 + 9
What is the third derivative of -259526*n**5 + 82*n**2 + 671?
-15571560*n**2
What is the third derivative of -181*x**5 + 100*x**4 + 665006*x**2?
-10860*x**2 + 2400*x
What is the third derivative of -8734*b**3*y**4 + 656*b**3 - 2*b**2*y**2 - 85*b*y - 14*y**6 wrt y?
-209616*b**3*y - 1680*y**3
What is the second derivative of -4*h**3*r**2 - 1954*h**3*r + 4*h*r**2 + 17*h*r + 6*r**2 - r wrt h?
-24*h*r**2 - 11724*h*r
What is the first derivative of 614*n**2*v**3 - 6*n**2*v - 31*v**3 - 13*v**2 - v - 7 wrt n?
1228*n*v**3 - 12*n*v
Find the third derivative of 2*c**4*q + 152*c**4 + 131*c**3*q - 2*c**3 + 4029*c**2*q - c**2 wrt c.
48*c*q + 3648*c + 786*q - 12
What is the third derivative of -3993731*b**5 + 4170322*b**2?
-239623860*b**2
Find the third derivative of 20*b**3*r**3 - 4756*b**3*r + 2*b**3 - 2*b**2 - 4084*b*r**3 - b + r**3 + 2*r wrt b.
120*r**3 - 28536*r + 12
Differentiate -144*j**3*o - 613*j**3 + 2*j*o - 771*o + 22 wrt o.
-144*j**3 + 2*j - 771
What is the first derivative of 49*p**4 + 206*p**2 + 18608 wrt p?
196*p**3 + 412*p
Find the third derivative of -g**5*i*s + 22283*g**3*i*s + 38*g**2*i*s - 29*g**2 - i*s wrt g.
-60*g**2*i*s + 133698*i*s
Find the second derivative of 231141*o**4 - 156745*o wrt o.
2773692*o**2
Find the third derivative of -74*b**6 + 737*b**3*h**2 - 27*b**2 - 305*b*h**2 wrt b.
-8880*b**3 + 4422*h**2
What is the second derivative of k**3 + 12330*k**2 - 39924*k wrt k?
6*k + 24660
What is the third derivative of 4*j**3*r**3*z + j**3*r**2*z + 12*j**3*r*z**3 + 52757*j**3*z**2 - 350054*j**2*r**3*z**3 wrt r?
24*j**3*z - 2100324*j**2*z**3
What is the first derivative of -2*o*s**2 + 9*o*s - 518*o + 567*s**2 - 32 wrt s?
-4*o*s + 9*o + 1134*s
Find the first derivative of -430395*f**2 + 837781 wrt f.
-860790*f
What is the second derivative of -2*q**2*x**2 + q**2*x - 141279*q**2 + 1641*q*x**2 - q*x wrt q?
-4*x**2 + 2*x - 282558
What is the derivative of -11*i**2*n*y - 2*i**2*n - i**2*y - 9*i*n*y + 4065*i*n - 2*n wrt y?
-11*i**2*n - i**2 - 9*i*n
Find the third derivative of 5406*f**4*k**2 - 4*f**3*k**2 + 586081*f**2*k**2 wrt f.
129744*f*k**2 - 24*k**2
What is the second derivative of -o**3 - 1793*o**2 + 21797*o wrt o?
-6*o - 3586
Differentiate -17408*r**3*v - 2*r**3 + 9*r - 165 with respect to v.
-17408*r**3
Find the first derivative of -2169646*h**2 + 929660 wrt h.
-4339292*h
What is the second derivative of -120205*a**4 - 116575*a?
-1442460*a**2
Find the third derivative of -47431*p**5 - 5*p**4 - p**3 + 14*p**2 + 3*p - 15244 wrt p.
-2845860*p**2 - 120*p - 6
Find the second derivative of 3*g**5*v**3 + 45939*g**5 + 2*g*v**2 + 153*g*v + 3*v**3 + 2*v**2 - 2 wrt g.
60*g**3*v**3 + 918780*g**3
Find the third derivative of -3*k**5 + 268825*k**3 - 14*k**2 - 949*k wrt k.
-180*k**2 + 1612950
Differentiate c**2*p**3*q - 291*c**2 - c*p**3*q - p**3*q + 644*q - 7 wrt c.
2*c*p**3*q - 582*c - p**3*q
What is the derivative of 97374*y**2 - 7*y - 2152295 wrt y?
194748*y - 7
Find the second derivative of -488457*q**3*r**2 + q**3*r + 3*q**2 + 2*q - 18651*r - 1 wrt r.
-976914*q**3
What is the second derivative of -76633*a**3*z**4 - a**3*z**2 + 95204*a**3*z - 2*a*z wrt z?
-919596*a**3*z**2 - 2*a**3
What is the third derivative of 8*c**3*m*t*y + 380*c**3*m*t + 2*c**3 - 7*c**2*m*t - 20*c*m*t - c*m*y - c*t*y + 14*m*y wrt c?
48*m*t*y + 2280*m*t + 12
Find the third derivative of -2*b**5*c - b**5 + 435*b**3*c + b**2*c + 471*b**2 - 36*b*c + 2*c - 10 wrt b.
-120*b**2*c - 60*b**2 + 2610*c
Find the second derivative of -788870*a**2 - 220401*a.
-1577740
What is the third derivative of -2848*s**5 - 2*s**4 - 202*s**2 - 60*s wrt s?
-170880*s**2 - 48*s
Differentiate -27*p*x**3 + 2*p*x**2 - 247*p*x + 100894*p - 3*x wrt x.
-81*p*x**2 + 4*p*x - 247*p - 3
Find the first derivative of 334198*u**2 + 239768 wrt u.
668396*u
What is the derivative of 9*i**2*k**2 - 43*i**2*s + 583*k**3*s**3 - 1953*k**3 wrt s?
-43*i**2 + 1749*k**3*s**2
Find the second derivative of -3*f**5 - 4492*f**4 + 22*f - 350.
-60*f**3 - 53904*f**2
What is the second derivative of 1066*l**2*n**2 - 174*l**2 - 7018*l*n**2 + 3*n**2 wrt l?
2132*n**2 - 348
Differentiate 13147*d*n**2*y - 3*d*y**3 - d*y**2 + 3*n**2*y**3 + 3*n**2 - 2*y**2 - 1321 with respect to n.
26294*d*n*y + 6*n*y**3 + 6*n
What is the second derivative of 27*f**3*j*t - 137*f**3*t**2 - 199*f**3*t - 2115*f**2*j*t**2 + 9*f**2 - 2*f*j*t - j*t wrt t?
-274*f**3 - 4230*f**2*j
Find the third derivative of 2*d*k**4 + 306853*d*k**2 - 769259*k**5 wrt k.
48*d*k - 46155540*k**2
Find the third derivative of 325*b**3*y**6 - 15*b**3*y**2 - 48*b*y**6 - 2*b*y + 4*y**2 - 449*y wrt y.
39000*b**3*y**3 - 5760*b*y**3
Find the second derivative of 225*v**5 + 4*v**3 + 14*v**2 - 4191933*v wrt v.
4500*v**3 + 24*v + 28
Differentiate -3*n**4 - n**3 - 1005*n**2 + 167701.
-12*n**3 - 3*n**2 - 2010*n
Find the third derivative of 61548*r**3 - 56*r**2 + 175*r wrt r.
369288
Differentiate -160356*v - 67177 with respect to v.
-160356
Find the first derivative of -b*l**2*y**3 - 36323*b*y**3 + 2*l**2*y**3 - 38979*l**2 wrt b.
-l**2*y**3 - 36323*y**3
What is the first derivative of 61339*l**3 - 8*l**2 - 1665160?
184017*l**2 - 16*l
What is the first derivative of -25*f*m**2 - 4*f*m + 4*f + 24*m**3 - 10*m**2 + 7 wrt m?
-50*f*m - 4*f + 72*m**2 - 20*m
Find the second derivative of 86510*m**3*n**3 - 2*m**3 + 4421*m**2*n + m*n wrt n.
519060*m**3*n
What is the first derivative of 695765*z + 525326 wrt z?
695765
What is the first derivative of b*t**2*x + 21*b*t*u**3 - 263*b*x + 34*t**2*u**3*x + 99*t*u**3 + 2*u**3*x wrt b?
t**2*x + 21*t*u**3 - 263*x
Differentiate 13*j**2*k - 43*j**2 - 9*j*k + j + 11731*k wrt j.
26*j*k - 86*j - 9*k + 1
What is the second derivative of -922*a**2*c**3 + a**2*c + 11*a**2 - 5*a - 25*c**5 + 1520 wrt c?
-5532*a**2*c - 500*c**3
Find the second derivative of -769*q**4 - 6*q**3 - q**2 - 1586*q - 15.
-9228*q**2 - 36*q - 2
Find the first derivative of -17*k**2 - 4056*k - 361874 wrt k.
-34*k - 4056
Differentiate 3426*o**2 + 33*o + 899016 with respect to o.
6852*o + 33
What is the second derivative of -39676*p**3 - 139*p + 11 wrt p?
-238056*p
Differentiate -3*a**2 - 1796*a*d - 19677*d + 1 with respect to a.
-6*a - 1796*d
Find the third derivative of -53054*x**3 + 19986*x**2 wrt x.
-318324
Differentiate 3*d*n**3 - 5661*d*n**2 - 21*n**3 + 2075*n wrt d.
3*n**3 - 5661*n**2
What is the derivative of -2*j**4 - 2*j**3 + 178*j**2 + 2*j - 1058235?
-8*j**3 - 6*j**2 + 356*j + 2
Find the second derivative of -414*i*o**3*z**2 + 3*i*o**3*z + 320*i*o**2*z + 63*i*o**2 + 104*i*o*z**2 wrt z.
-828*i*o**3 + 208*i*o
Find the third derivative of -339249*m**4 + 2*m**2 + m - 132842.
-8141976*m
Find the third derivative of 974030*c**4*l - c**3*l**3 + 2*c**2 + 3*c*l - 38*c + l**3 - 2 wrt c.
23376720*c*l - 6*l**3
Find the third derivative of 4*r**6 + 7*r**4 - 17679*r**3 - 2056*r**2 + 32*r.
480*r**3 + 168*r - 106074
What is the second derivative of -5081*f*n*s**2 + f*n*s + 250*f*n - 3*f*s**2 - 6*n*s - 16*s wrt s?
-10162*f*n - 6*f
What is the first derivative of -293992*d - 1236764?
-293992
Find the third derivative of -30164*d**6 - 2*d**4 + 17*d**2 + 6*d + 141 wrt d.
-3619680*d**3 - 48*d
Find the first derivative of -328736*n**3 + 138961 wrt n.
-986208*n**2
Differentiate -11360*r + 57052.
-11360
What is the derivative of -66220*x**3 + 29705 wrt x?
-198660*x**2
What is the derivative of -244392*s**4 + 225740 wrt s?
-977568*s**3
Find the first derivative of -18*k**2 - 1361*k + 91239.
-36*k - 1361
Find the third derivative of 58*a**2*l**3 - 129*a**2*l**2 + 14756*a*l**3 - a*l + a + l**3 - 2*l**2 + 79*l wrt l.
348*a**2 + 88536*a + 6
What is the first derivative of -28465*i*t**3*y**3 + 3*i*t**3 + 2*t**3 - t**2*y**3 - 399*t*y - 60*y wrt i?
-28465*t**3*y**3 + 3*t**3
What is the second derivative of -457306*j**5 + 2*j**4 + 117*j + 444?
-9146120*j**3 + 24*j**2
What is the second derivative of 9*g**4 + 1088*g**3 - 2*g**2 - 9616*g?
108*g**2 + 6528*g - 4
What is the derivative of 51672*v**2 + 2*v - 594703?
103344*v + 2
What is the third derivative of 25050*f**6 + 2*f**5 + 1335434*f**2 wrt f?
3006000*f**3 + 120*f**2
What is the third derivative of 327884*g**3 + 3*g**2 + | {
"pile_set_name": "DM Mathematics"
} |
e g - 5*g + 76 = 0. What is the units digit of g?
9
Suppose 378 = 3*b - 4*g, 0 = -b + 2*g + 187 - 59. What is the hundreds digit of b?
1
Let x be 30/4*6/9. Suppose 4*t + 4 = r + x*t, -5*r + 2*t + 6 = 0. What is the units digit of r?
2
Let b be 3 + (-3 - -2)/1. Let c be 2 - (b/(-2) + 6). Let a = -1 - c. What is the units digit of a?
2
Let w = 49 - 16. What is the tens digit of w?
3
Let v = 2 - -1. Let i be ((-1)/v)/((-5)/45). Suppose -i*f = -18 - 12. What is the units digit of f?
0
Suppose 4*d = 5*q - 11, -2*q = -5*d - 4 + 3. Suppose -q*v + 4*v - c - 9 = 0, 2*v - 3*c = 16. What is the tens digit of v?
1
What is the tens digit of 3/((-1)/6*-1)?
1
Suppose -22 = -4*z - s, s = 6*s - 10. Let c = -3 + z. Let u(w) = 3*w**2 - w + 2. What is the units digit of u(c)?
2
Let o(r) = r**2 + r - 3. Let l be o(-3). Suppose 22 = 5*x - l*x. What is the tens digit of x?
1
Let b(k) = -k**2 - k + 3. Let a be b(0). Suppose 3*v = a*l + 33, v + 3*l = -0*l + 7. Suppose 5*j - 10 - v = 0. What is the units digit of j?
4
Let t(m) = m**2 + 8*m + 6. What is the tens digit of t(5)?
7
Suppose 25 = -t + 2*c, -t = -c + 6*c + 11. Let n = -11 - t. What is the units digit of n?
0
Let m be (-4)/(-8) - 222/(-4). Suppose 0 = -v - v + m. What is the units digit of v?
8
Suppose 8*h + 235 = 13*h. What is the tens digit of h?
4
Let b(j) = -j**2 + 0*j**2 - j - j**3 - 2*j**2 - 3 + 0*j**2. What is the units digit of b(-4)?
7
Suppose -5*q + 380 = -0*q. What is the tens digit of q?
7
Let c(o) = o + 7. Let r be c(-7). Suppose 3*b - b - 130 = r. Suppose -3*t = 2*t - b. What is the tens digit of t?
1
Let v(u) = -u**3 + 15*u**2 + 26*u - 9. What is the units digit of v(16)?
1
Suppose 3*a + 9 = 5*b + 53, 2*b = a - 18. Let q be (-19)/(b/4 + 2). Let i = q - 20. What is the units digit of i?
8
Let x = -1 - -6. Suppose -3*c - 5*i - 20 = 0, 4*c - x*i - 6 = 14. Suppose c = 3*z - 9 - 6. What is the units digit of z?
5
What is the units digit of 21*6 - (-20)/10?
8
Suppose -4*c + 166 = -142. What is the tens digit of c?
7
Let b(o) = o**3 + 3*o**2 - 3. Let f be b(-3). Let n(j) = 2*j**2 - j - 4. What is the tens digit of n(f)?
1
Suppose 0*k - 5*i = 5*k - 30, k = 4*i - 14. Suppose k*y + 3*y = -3*p + 7, -4*p - 39 = -3*y. Let v(t) = t**3 + 5*t**2 - 8*t - 5. What is the units digit of v(p)?
7
What is the units digit of (-2)/(-3) + 4065/45?
1
Let t(q) = q**3 - q**2 + 2*q + 10. What is the tens digit of t(0)?
1
Let j(m) = -m + 2. Let v be 3/(-9) + 1/3. Let s be j(v). Let q = 3 - s. What is the units digit of q?
1
Let b(t) = -4*t + 7. Let x(p) = 13*p - 21. Let k(d) = 7*b(d) + 2*x(d). What is the units digit of k(-14)?
5
Let l = 6 - 5. What is the units digit of 20 - (6/3 - l)?
9
Let y = 13 + -7. Let u = 8 - y. What is the units digit of u?
2
Let w(s) = -2*s**3 + 3*s**2 + 2*s + s**2 - 1 - 2*s**2. Let n be w(-2). Let t = -7 + n. What is the units digit of t?
2
Let m(h) = -13*h - 2. Let p(k) be the first derivative of 208*k**2 + 65*k - 2. Let u(y) = -65*m(y) - 2*p(y). What is the units digit of u(1)?
3
Let s(b) = -3*b + 3. What is the units digit of s(-11)?
6
Let n = -8 + 13. Suppose -n*c = -33 + 13. What is the units digit of c?
4
Suppose 8 = f + f. Let j = -3 + f. Let w = 1 + j. What is the units digit of w?
2
Let s(p) = p**3 - 6*p**2 + 4. Let g be s(6). Let u = -2 + g. Suppose -2 = u*m - 20. What is the units digit of m?
9
Suppose 2*s = 53 + 33. What is the tens digit of s?
4
Let s(z) = z**2 - 12*z + 15. Let p be s(11). Let q be (0 + 0)/(-1 - 0). Let j = q + p. What is the units digit of j?
4
Suppose -5*n + 2 = -68. Let u = 28 - n. What is the tens digit of u?
1
Suppose -3*v - 7 = -1. Let y(h) = -h**3 + h - 2. Let u be y(v). Let g(a) = a**3 - 3*a**2 - 2*a + 1. What is the units digit of g(u)?
9
Suppose -5 = -3*c + 271. What is the units digit of c?
2
Suppose 62 - 23 = b. What is the tens digit of b?
3
Let a(v) = 4*v - 2. Let n be a(-2). Let u = 18 + n. What is the units digit of u?
8
Suppose -w = -0*w - 2. Suppose -2*k - 6 = -4*k. Let v = k - w. What is the units digit of v?
1
Let t be (-2)/1 + -1 - -6. What is the units digit of t + (0 - 0) + -2?
1
Suppose -5*u + 32 = 7. Suppose 5*w - 3*k = k + 105, -4*w = u*k - 43. What is the units digit of w?
7
Let k = -2 - -1. Let z = k - -1. Suppose z = -2*p + p + 5. What is the units digit of p?
5
What is the units digit of 7 - 4 - (-1 + -24)?
8
Let p(n) = 3*n**2 + n. Let s be p(1). Let l(q) = 2*q - 7. Let x be l(6). Let k = x + s. What is the units digit of k?
9
Let l(q) = -3*q + 19. Let h(v) = 5*v - 29. Let u(i) = -5*h(i) - 8*l(i). What is the units digit of u(-10)?
3
Let z(o) = o**3 - 4*o**2 + 4*o + 1. Let h be z(3). Let v(b) = b**2 - 2*b + 6. Let p be v(0). What is the units digit of 6*(p/h + 0)?
9
What is the units digit of (7 - 12/4) + -3?
1
Suppose 3*t - 2*t = -1. Suppose 12 = -6*s + 2*s. What is the units digit of 4 + (t*2 - s)?
5
Let p(w) = w + 13. Let g be 23/7 + (-4)/14. Suppose -3*k = 0, j + 28 = -g*j + 4*k. What is the units digit of p(j)?
6
Suppose 0*z = 2*z - 2, 23 = 4*w - z. Let m(k) = -k**2 - 7*k - 6. Let g be m(-5). Let q = w - g. What is the units digit of q?
2
Suppose -2*l + 2 = -2. Suppose 2*j + 2*h - l = -2*j, 3*j - h - 9 = 0. Suppose -k = -6*k - 3*q + 59, -k = -j*q - 4. What is the tens digit of k?
1
Suppose -2*g + 154 + 30 = 0. What is the units digit of g?
2
Suppose -4*m + 6 = -2*m. Suppose 9 = 4*b - 5*v, -27 = -2*b - m*v - 6. What is the units digit of b?
6
Let y be (-2 - 10/(-4))*-2. Let u be 4*(15/6 - y). What is the units digit of (u - 2)*(-2)/(-3)?
8
Let b = -7 + 11. Suppose 0*f - 12 = b*f. What is the units digit of f*(-1)/9*24?
8
Suppose 697 = 3*w + z, -4*w - 2*z + 575 = -353. What is the hundreds digit of w?
2
Let w = -14 - -13. What is the units digit of (26 + -1 - w) + -3?
3
Let v = -9 - -20. Let f = v - -8. What is the tens digit of f?
1
Suppose -4*b + 6 = -2*b. What is the units digit of 2 - 4/(-6)*b?
4
Let x(a) = -4*a - 4*a**2 - 2*a**2 - a**3 + 3*a + 2. Let b be x(-6). Let j(r) = r**2 - 6*r - 8. What is the units digit of j(b)?
8
Suppose -13 = 3*o + k, -o + 17 = -10*k + 5*k. Let f(t) be the first derivative of t**3/3 + t**2 + 4*t + 5. What is the units digit of f(o)?
7
Suppose -2*l = 4, -5*b - 8*l + 7*l + 1188 = 0. What is the units digit of b?
8
What is the units digit of (3 + 31)/(2/5)?
5
Suppose 0 = s - 4, -3*w + 4*w = -3*s + 26. What is the tens digit of w?
1
Suppose p - 12 = 3. Let v = p - 3. What is the tens digit of v?
1
Let u = 1 + 19. What is the tens digit of u?
2
Let r = -219 - -367. Suppose -98 - r = -6*g. What is the tens digit of g?
4
Let d = 159 - 101. What is the tens digit of d?
5
What is the tens digit of 136/8 + 4/(-2)?
1
Let a(x) = 3*x + 29. What is the units digit of a(23)?
8
Suppose -25 = -5*b - 10. Suppose 0*j = -4*j + 4*h + 28, h = b. What is the units digit of j?
0
Let v(d) = -d**2 - 13*d. Let c = 12 + -20. Let q be v(c). Suppose 0 = 2*m + 2*h - 6*h - 8, -4*h = 4*m - q. What is the units digit of m?
8
Let n(k) = k**2 + k - 1. Let c be n(-4). Suppose 0 = -2*w + 8, -w - c = -u - 2*u. Suppose 17 - u = 2*b. What is the units digit of b?
6
Suppose 3*g + 165 = a, 5*a + 3*g = 381 + 408. What is the hundreds digit of a?
1
Let s(u) = u**3 + 6*u**2 - 5*u + 4. What is the units digit of s(-4)?
6
Suppose 5*c - 21 - 9 = 0. What is the units digit of c?
6
Let q(c) = c**2 + 2*c - 2. Suppose -3*d + 1 = -4*y + 8, 2 = 2*d - y. What is the units digit of q(d)?
3
What is the units digit of (0 - (2 + 2))*(1 + -17)?
4
Let k be (-2 - 9/(-3))*5. Suppose 0 = -4*r - 4*o, -3*o - 3 = 5*r - k. What is the units digit of r?
1
Let g(f) = -f**2 + 8*f - 5. Suppose -14 + 6 = -c + 4*z, -z - 2 = -4*c. Suppose c*y + 20 = 4*y. What is the tens digit of g(y)?
1
What is the units digit of (411 - 5)/(3 - (-4)/(-2))?
6
Let y be 1/((-1)/(-1)) + -1. Suppose 3*o + 4*v - 2*v = 35, -4*o - v + 55 = y. What is the tens digit of o?
1
Suppose 0 = -c - 3*c + 16. Suppose 2*z - 5*z + 21 = 0. Let n = z - c. What is the units digit of n?
3
Let p(d) = d**3 - 4. Let s be p(0). What is the tens digit of (-10)/(2/s*2)?
1
Let m(c) = -64*c - 4. What is the tens digit of m(-2)?
2
Suppose 0 = n + n - 5*h - 13, 0 = -4*n + 3*h + 19. Let k(t) = t**2 + t + 3. Let b be k(n). Let j = b + -10. What is the tens digit of j?
1
Let r = -3 - -11. Let i be 3 + 0 - (5 + -1 + 0). What i | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 262*n**2 + 460*n**2 - 75*n**2 to z + a*n + y*n**2 and give y.
647
Express 3*m - 11*m**3 + 61*m**3 - 14*m**3 + 1 - 12*m**2 - 1 as a + v*m**3 + l*m**2 + h*m and give v.
36
Rearrange (3*j + 3 - 1 - j)*(-1 + 2 - 3 + (-1 + 5 - 2)*(0 + 2 - 3)) + 48*j - 44*j + 141*j to the form f*j + m and give m.
-8
Rearrange (-2 + 2*h - 4*h + 14*h)*(3 - 7 + 3) to the form s + z*h and give s.
2
Rearrange -93 - d - 3*d**2 + 74 + d**2 + 0*d**2 to s*d + w*d**2 + k and give w.
-2
Express 3*o - 6*o + 2*o - o + 0*o + 2*o + (5 - 1 - 3)*(-2*o + 0*o + 0*o) + (-3 + 0 + 1)*(-39*o + 24*o - 67*o) as c*o + j and give c.
162
Rearrange (-2 + 5 - 31)*(-2 - 219*o + 5*o**2 + 219*o) to the form t*o**2 + g + f*o and give g.
56
Rearrange (-10*t**2 - 6*t + 6*t)*(-26 + 65 + 20)*(-2*t + 4 - 4) to n*t**2 + m*t + r + g*t**3 and give g.
1180
Rearrange -1012*u**4 + 4*u**3 - 6*u**3 + 1008*u**4 - 9*u**3 + u to the form c*u + t + h*u**2 + g*u**3 + n*u**4 and give c.
1
Express -214*r**2 + 53*r**3 + 45*r**3 + 214*r**2 + (-2*r**2 - 1 + 1)*(-5*r + 2*r + 0*r) as g*r**2 + n*r**3 + v*r + q and give n.
104
Rearrange (-k + 4*k - k)*(-25 - 9*k + 25)*(4 + 10 - 2) to w + a*k + x*k**2 and give x.
-216
Express (-12*p**4 + 2*p**4 - 3*p**4)*(6 - 62 - 19 + 14) in the form v + i*p**4 + h*p**2 + x*p + d*p**3 and give x.
0
Express -3 + 2*y - 3 - 2*y**3 + 73*y**2 + 5 - 50*y**2 in the form z*y + w + k*y**3 + x*y**2 and give x.
23
Rearrange (-y**2 + y + 3*y - 6*y)*(-11 + 11 - 2*y) + y**3 - 1 - 2*y + 2*y to the form f*y**2 + v*y + z*y**3 + m and give m.
-1
Rearrange 2*z - 6*z - 8*z**2 + 5*z + (11*z**2 + 4*z**2 - 4*z**2)*(4 + 2 - 5) to q*z + y*z**2 + u and give q.
1
Express (2*q**2 + 3*q**2 - 3*q**2)*(1010*q**2 - 2021*q**2 + 5*q - 351 + 1010*q**2) as c + o*q**4 + j*q**3 + x*q**2 + m*q and give o.
-2
Express 50*p - 66*p + 74*p + 33*p as r + n*p and give r.
0
Rearrange (32*v**2 - 10*v**2 - 7*v**2)*(-4 - 5 - 3 - 5) to k + w*v + y*v**2 and give y.
-255
Rearrange (-4 + 1 + 1)*(3*o + 2*o - 4*o) - 141*o - 271*o - 364*o + (-4*o + o + o)*(-4 + 1 + 1) to the form j*o + t and give j.
-774
Express (28 - 9*p - 28)*(-5*p + 2*p - 2*p)*(19*p + 15*p - 2*p) as z*p**2 + i*p**3 + r + q*p and give q.
0
Express (3 - 1 - 4)*(-6277*b**3 - 2875*b**3 - 469*b**3 - 3357*b**3) in the form y + t*b + a*b**3 + f*b**2 and give f.
0
Express -9 + 0 + 6 + 1 + 15*w**3 as m + d*w + g*w**3 + x*w**2 and give g.
15
Express (-2 + 25 - 10)*(2 - 3 - 1)*(-2 - 3 + 8)*(4 + s - 4) + 1 + 4*s - 1 as u + t*s and give t.
-74
Rearrange ((-7*c + c + 4*c)*(-c + 4 - 4) + (-3*c + 4*c - 5*c)*(26*c + 11*c - 22*c))*(-c + c + 2*c**2) to y*c**2 + t*c**3 + b*c + u + l*c**4 and give l.
-116
Rearrange -5*l**3 + 16*l**3 + 9*l**3 + (-l + 0*l + 0*l)*(-553*l - 2 + 553*l + 10*l**2) to the form i*l + z + a*l**3 + t*l**2 and give i.
2
Express (88*g - 42*g + 31*g)*(2*g - 2 - g**2 + 2) in the form w*g**3 + r*g + n*g**2 + u and give w.
-77
Rearrange (-1 + 0 - 1 - 1 - 1 + 3 + (0 - 4 + 5)*(-2 + 2 + 2) + 0 - 4 + 6 + (0 + 2 - 4)*(-5 + 1 - 1)*(1 + 2 - 1))*(3*y + 0*y - 2*y) to a*y + i and give a.
23
Rearrange 8*p + 25*p + 0*p**3 - 21*p - p**3 to o + b*p**3 + r*p**2 + a*p and give b.
-1
Rearrange 10*a**4 + 8*a**2 - 8827*a**3 - 5*a**2 - a + 8828*a**3 to the form v*a**4 + t + f*a**2 + w*a + x*a**3 and give w.
-1
Express (0 - 4 - 1)*(-5 - 9*j - 5 - 3*j) in the form i*j + q and give q.
50
Express -35*t + 486*t + 817*t - 151*t + 528*t in the form i*t + o and give i.
1645
Express -1 - 3*w**2 + 10*w**4 + 2*w**2 - 3*w**4 - 8*w**4 + 73*w + 0*w**2 in the form i + m*w**4 + j*w**3 + h*w**2 + v*w and give i.
-1
Express (4*n**2 + 2*n**2 - 4*n**2)*(0 + 0 - 15)*(-25 + 34 + 40) in the form m*n + c*n**2 + s and give c.
-1470
Rearrange (-a + 0 + 0)*(79 - 1 + 122) + a + 0*a - 3*a to the form n + i*a and give i.
-202
Express -219*x**2 - 31*x - 221*x**2 + 664*x**2 - 222*x**2 + 2 in the form t + z*x**2 + h*x and give t.
2
Rearrange -6300 - 6308 - 12*w**3 + 12609 + 19*w to the form r + x*w + c*w**2 + q*w**3 and give q.
-12
Express -3757*a**2 + 7514*a**2 + 2*a**3 - 3756*a**2 - 21*a in the form u*a**3 + c*a**2 + q + l*a and give l.
-21
Express (1 + 20 - 3)*(4*w - 1 + w + 14) as c*w + s and give s.
234
Rearrange -2*u**3 - 167 + 2*u + 0*u**4 + 171 - 2*u**2 + 2*u**4 to the form w*u**2 + f + c*u**3 + m*u**4 + t*u and give m.
2
Rearrange (44*i + 595 - 595)*(-5 + 2 + 1)*(1 - 1 - 4*i) to j*i + o*i**2 + c and give o.
352
Express -2*z**2 - 7 - 175*z + z**3 + 7*z**3 - 3*z**4 + 175*z as c*z**2 + w*z**4 + u*z + b + t*z**3 and give t.
8
Express (233*l + 1731*l + 159*l)*(-3*l - 3 + 4*l - 3*l) as o*l + u + m*l**2 and give o.
-6369
Express 67*w**2 - 159*w**2 - 119*w**2 in the form q + g*w**2 + i*w and give g.
-211
Express (-40*d + 5*d - 9*d)*(0 - 15 + 1)*(0*d**3 - d**3 - d**3) as s*d + h*d**4 + g*d**3 + b + t*d**2 and give h.
-1232
Rearrange 55 - 8*g**4 - 15*g**4 + 34*g**4 + g**3 - 24*g**4 + 15 to the form v*g + f*g**4 + m + h*g**2 + y*g**3 and give m.
70
Rearrange 15*n - 8 - 22*n + 3 - 2 + 3 to q*n + g and give q.
-7
Rearrange 12*j**4 + 2 + 12*j**3 - 6*j - 16*j**3 + 6*j**3 - 2 to m*j**4 + p + k*j**3 + g*j + h*j**2 and give m.
12
Rearrange 0*k**2 + 3*k**2 + 0*k**4 + 142 + 0*k**2 + 2*k**3 - 140 - k - 2*k**4 to x*k**4 + c*k**2 + y*k + o*k**3 + z and give x.
-2
Express (-f + f - 2*f)*(-18*f + 10*f + 11*f + (-3 + 0 + 2)*(-3 - 3*f + 3))*(-2 - 1 + 2) in the form i*f**2 + m + c*f and give i.
12
Express (-2*l**3 + 2*l**3 + 3*l**3)*(126 - 263 + 126)*(-4 - 4*l + 4) as y*l**3 + f*l**4 + r + u*l + n*l**2 and give r.
0
Rearrange (-2 + 13*p + 3*p + 27*p)*(p**2 + p**2 + p**2) to the form g*p**2 + u*p + l + j*p**3 and give u.
0
Rearrange -348*w**3 + 49*w**2 + 13*w - 25*w + 11*w - 49*w**2 to the form m*w**2 + j*w**3 + n + t*w and give t.
-1
Express (h**2 - 5*h**2 + 5*h**2)*(-4*h**2 + 5*h**2 + 3*h**2) - 6378 + h**2 + h**3 - 3*h - h**4 + 6378 in the form r + o*h**4 + a*h**3 + l*h**2 + s*h and give l.
1
Express (24*l**3 + 4*l**3 - 15*l**3)*(-13*l - 1 + 1) as d + z*l**4 + m*l**2 + w*l + s*l**3 and give z.
-169
Rearrange 2*o + 4*o - o + (-4 - 5 + 1)*(3*o - 3*o - o) to q*o + s and give s.
0
Rearrange (3*p**2 + 52*p - 93*p + 61*p)*(0*p + 0*p + p) to w*p**3 + c*p**2 + s + g*p and give w.
3
Rearrange ((1 + 4 - 3)*(2 - 2 - 3*r) + 4 - 4 - r - 61 + 25*r + 61)*(2*r - 2*r - r) - r**2 + 3*r**2 - 4*r**2 to s*r**2 + q*r + v and give s.
-20
Rearrange 1 - 4*w + 1 + w - 26*w to the form d + p*w and give p.
-29
Express 5*s - 2989*s**3 + 2989*s**3 + s**4 + 3 - 2*s**2 as a*s + d*s**3 + c*s**2 + b + h*s**4 and give a.
5
Rearrange -1 + 296*b - 2 - 351*b to g*b + z and give z.
-3
Express (-51 + 22 - 27)*(6 - 1 - 3 - u)*(-2*u**3 + 0*u**3 - 2*u**3) in the form o*u**2 + b*u + a*u**4 + l + s*u**3 and give a.
-224
Rearrange -258*d**2 - 14*d**3 + 258*d**2 + (0 + d**2 + 0)*(-4 - 2*d + 4) + (2 - 2*d**2 - 2)*(-4 + d + 4) to p + g*d**2 + m*d**3 + h*d and give m.
-18
Express 0 + 0 - 3*r + 23*r - 11*r + r + 3*r + 0*r - 2*r + 4*r - r - 5*r + (-4 + 1 + 2)*(2*r - 2 + 2) as f*r + x and give f.
7
Rearrange (-8 + 4 - 5)*(-10 - 4 + 13 + 34*m**3) to the form n*m**3 + j*m + u + y*m**2 and give n.
-306
Express 5*y**2 - 4*y**2 + 5*y**3 + 4*y**3 as x*y**2 + k + h*y**3 + s*y and give h.
9
Rearrange m**2 + 0*m**2 - 33900*m**4 + 33898*m**4 - 10*m**3 + 2*m - 3*m to w*m**2 + p*m**4 + l*m + u + d*m**3 and give d.
-10
Express 8*n + 6 + 3 - 5 - 4 + 56*n**3 as c*n + o + z*n**2 + x*n**3 and give x.
56
Rearrange -4*c**2 - 8*c**2 - 10*c**2 + 28*c**2 + 9*c**3 + 1 - 5*c**2 to the form x*c**3 + w + m*c + a*c**2 and give x.
9
Express -2 + 26*y**4 + 46*y - 81*y**4 + 16*y**4 + 18*y**4 + 23*y**4 in the form c*y**4 + r*y**2 + j*y + w*y**3 + u and give c.
2
Rearrange -7*s**3 + 21 + 9*s**3 + 16*s - 2*s**4 + 9*s - 26*s + s**4 to the form o*s**3 + j + c*s + a*s**2 + i*s**4 and give j.
21
Express -28*x + 3*x**2 + 30*x - 15 - 2*x**2 + 2*x**4 - 6 as w*x**4 + y + t*x**2 + v*x + s*x**3 and give w.
2
Rearrange -2*s**2 + 0 + 0 + (2*s - 3*s - 2*s)*(20*s + 17*s - 51*s) to o*s**2 + c*s + d and give o.
40
Express 58*u + 281 - 281 as i + r*u and give r.
58
Rearrange -1 - 12*g + 16*g - 4 - 10*g to u*g + v and give u.
-6
Express 3 - 5*d - d + 7*d as v + q*d and give v.
3
Express ((2*h - 5*h + h)*(-4 + 3 + 0) - 2*h + 0*h + h - 6*h + 12 - 12)*(10 + 10 - 1) + 2*h - 4*h + h as t*h + a and give t.
-96
Express 5*l - 4*l - 3*l + (0 + 2 + | {
"pile_set_name": "DM Mathematics"
} |
ose -72*o + 19258883 + 65206744 = 69*o. Is o prime?
False
Let z(u) = 1124*u + 153. Is z(11) a prime number?
True
Let v(m) = 2453*m**2 + m - 1. Suppose 18*j + 8 = 26*j. Is v(j) a composite number?
True
Let c be -2*(-2)/((-9)/(-3) + -2). Suppose -c*u - s = -4059, 9*u - 5*s - 5080 = 4*u. Suppose -4*a = a - u. Is a a composite number?
True
Is 64/(-160) - (-8716722)/30 composite?
False
Let x(q) be the second derivative of 4*q**2 + 0 - 2*q - 2/3*q**3 + 3/4*q**4. Is x(-5) prime?
False
Let m be 946/110 + 3/(-5). Suppose m*w - 5*w = 3507. Is w a prime number?
False
Is 2302653/6*(-9 - -11) a prime number?
True
Is 43126899/317 + (-1)/1 + 9 composite?
True
Let b(n) = -61*n - 13. Suppose 0 = -17*i + 40 + 113. Let x be b(i). Let f = -191 - x. Is f a composite number?
True
Suppose -2*z - 94 = -5*t, -3*t = -5*z - 27 - 37. Suppose -23*o = -t*o - 26905. Is o composite?
False
Let c(f) = -5*f**3 + 4*f**2 + 11*f + 15. Let k(i) = 4*i**3 - 4*i**2 - 10*i - 15. Let j(r) = -6*c(r) - 7*k(r). Is j(4) a composite number?
False
Suppose 0 = 2*a + 3*u - 2*u - 324522, a - 162247 = 3*u. Is a prime?
False
Suppose y + 17 + 10 = 0. Let p be (-266901)/y - 3/(108/8). Suppose -9*s + p = -6*s. Is s composite?
True
Let w = 0 - -3. Let a(k) = 296*k**3 + 49*k**3 + 161*k**w - k**2. Is a(1) a prime number?
False
Is 10065 - (-21)/63*-6 a composite number?
True
Let p be 42 - (-4 + (5 - 4)). Let r(n) = 157*n**2 - 4*n + 7 - 25*n**2 + p*n**2. Is r(2) composite?
True
Let k(h) = h**3 + 9*h**2 + 8. Let z be k(-9). Suppose -2*v + z = 0, w + 4*v = 1 + 17. Suppose -u - 911 = -w*u. Is u a prime number?
True
Let f = 60 - 53. Is (2 - (-12)/(-8))/(f/10346) a prime number?
True
Let v(c) = -26*c**2 - 8*c + 39. Let u be v(7). Let h = 8112 + u. Is h composite?
True
Suppose d = -y + 148621, 135*y = 3*d + 139*y - 445865. Is d prime?
False
Suppose d + 1 = 0, 0*n - 4*d = -3*n + 1288. Let a = n + 767. Is a a composite number?
True
Let x(q) = 1880*q - 101. Is x(6) prime?
False
Let n = 160 + -155. Suppose 4*u + n*t - 5567 - 846 = 0, 0 = 3*t - 15. Is u a composite number?
False
Suppose 28*r = 17*r. Suppose r = -2*k + 2*j - 8434, 3*j + 0*j = -4*k - 16868. Let t = 6706 + k. Is t composite?
True
Let p(c) = 4*c**2 - 65*c - 105. Suppose 11*a + 124 - 432 = 0. Is p(a) composite?
True
Let d be (-2 + 347)/(1/1). Suppose 0 = 244*t - 209*t + 6510. Let y = d + t. Is y composite?
True
Let o(f) = 467*f + 1765. Is o(20) a prime number?
False
Let r(q) = 21*q - 20. Let y(m) = 5*m - 5. Let n(h) = -2*r(h) + 9*y(h). Let l be n(2). Let k = 47 - l. Is k a prime number?
False
Let a = 25 - 24. Let o be 28/(-7) - (-6 + a). Is (-34 - (4 - o))*-11 a prime number?
False
Let w(z) = 79*z - 45. Suppose 4*a = -4*o - 56, -5*a - 73 = 3*o + 1. Let g = a + 30. Is w(g) prime?
True
Suppose -5*n = 4*p - 82999, -7*n + 10*p - 7*p = -116233. Is n a composite number?
False
Suppose 66607 = -3*a + 4*x, 6*x - x = -3*a - 66652. Let c = a - -34442. Is c a prime number?
False
Suppose -14*h = -3 + 1809. Let d = 270 + h. Let x = d + 230. Is x a composite number?
True
Let b = 128 - 463. Let r = b + 968. Is r composite?
True
Is 43555 - (-16 + 11 + 1) prime?
False
Let k(c) = -3*c - 6. Let p(s) = -4*s - 6. Let h(x) = -5*k(x) + 4*p(x). Let d be h(6). Suppose d = 13*y - 3*y - 6410. Is y a prime number?
True
Suppose 12*j = 6*j - 22164. Let y be (1 - j/(-10))/((-18)/120). Is (0 - 1)*(4 + -7 - y) a composite number?
False
Let j = -119 + 114. Let f(y) = -141*y**3 + 2*y**2 + 9*y + 17. Is f(j) a composite number?
True
Suppose -q + c + 39939 = 3*q, 0 = -3*q + 5*c + 29967. Suppose -4*p = 4*x + q, 3*x - 2*p = 6*x + 7491. Let l = x - -6920. Is l a composite number?
False
Let x be 0/(2/(-6)*(-3 - -6)). Let u be 0 - (1 - x - 4). Suppose -5*k = 4*p - 670, -5*p + 0*p = -u*k + 402. Is k a prime number?
False
Let m(g) = -7962*g + 3059. Is m(-22) a prime number?
True
Suppose 5*o = 3*x - 32, 2*o + 4*x = -7 + 15. Let n be 676/(-78) + o/(-6). Is 2090/1 - (n - -3) composite?
True
Let v(q) = -634*q**3 - 33*q**2 - 33*q - 71. Is v(-9) composite?
True
Suppose 681071 = -10*o - 4*o + 31*o. Is o a prime number?
True
Suppose -15 = -3*j - 5*m + 15, 3*j - 21 = -2*m. Suppose 3*w - 6*v + 2*v = 10779, -17965 = -j*w + v. Is w a composite number?
False
Suppose -5*x + 187 = -2298. Suppose -310 = d + x. Let u = -362 - d. Is u prime?
False
Let t be 2 + 75/5 - 1. Suppose 3*o = -4*l + 19817, 0 = -11*o + t*o - l - 32990. Is o a composite number?
False
Suppose 32*c - 52776 = 24*c. Let m = 15836 - c. Is m a composite number?
False
Suppose -54 = 3*c - 78. Let u(h) = -2*h**2 + 15*h + 16. Let f be u(c). Is (f + -89 - (-2)/1)/(-1) a prime number?
True
Let r(k) = 17646*k**2 + 3*k - 3. Let m be r(-3). Suppose 5*p = -2*i - m, p - 4*i - 15412 = -47168. Is ((-2)/(-5))/((-16)/p) a composite number?
True
Suppose -32*o + 5072524 = -o - 3660982. Is o a composite number?
True
Let q(p) = 118*p**3 + 14*p**2 - 3*p + 6. Let g be q(7). Suppose g + 89560 = 5*v. Is v a prime number?
True
Let c be ((-6)/(-8))/(1/4) + -43. Let n = c - -34. Is (-4)/n*(4186/4 - 1) composite?
True
Let d = 28714 - -28309. Is d a composite number?
True
Let w(r) = 1217*r**2 + 8*r + 9. Let u be w(-1). Let p be 1/(-2) + 1563/6. Suppose 5*f = 2*g + 1279 + p, 4*f = -5*g + u. Is f prime?
True
Let i(l) = l**2 + 7*l + 5. Let y(m) = -2*m**2 - 13*m - 13. Let n be y(-6). Let w be i(n). Suppose -3663 - 382 = -w*t. Is t a composite number?
False
Let w(d) = d**2 + 3*d - 3. Let y be w(-3). Let b be ((-2)/2 - 1) + y + 5. Suppose -p - p + 238 = b. Is p composite?
True
Let w(i) be the first derivative of -i**4/4 - 13*i**3/3 - 18*i + 30. Let g be w(-13). Is g/27 + 2710/6 prime?
False
Let o = -33788 - -50195. Let t = o + -598. Is t prime?
True
Let l(t) be the second derivative of 5/2*t**2 + 19/12*t**4 + 3*t**3 - 1/20*t**5 + 0 - 10*t. Is l(19) composite?
False
Let a(j) = 14*j**2 - 4*j + 7. Let n be a(-4). Is 173238/38 - (-7 + 1703/n) a composite number?
True
Let k(o) = -2*o**3 + o**2 + 38*o - 106. Let t = 603 - 624. Is k(t) prime?
True
Suppose -5*b = 5*c - 128150, 2*b + 565 = 551. Is c prime?
False
Suppose 0 = -b + 4*b - 12. Suppose 7*h - 67044 = -b*l + 3*h, -50283 = -3*l + 2*h. Let d = l + -10780. Is d a prime number?
True
Let r = -368591 - -782244. Is r a composite number?
False
Let c = 76528 - 28157. Is c a composite number?
False
Let x be (-2)/(-8) + 570/120. Suppose -2*o + 5011 = x*w, 3*o - 2*w = -4578 + 12085. Is o a prime number?
True
Let b(k) = -12*k**2 + 9 - 21*k**2 + 32*k**2 - 2*k. Let u be b(-4). Suppose -r + 0 = -u, -2*q = -r - 7365. Is q prime?
False
Let x = 9 + -3. Suppose 5*l - 36207 = 3*j, 3*l + 3*j - 36183 = -2*l. Is (l/x)/((-6)/(-12)) a prime number?
False
Let a(z) = z**3 - 6*z**2 + 2*z - 9. Let s = 28 + -22. Let y be a(s). Suppose 990 = y*t - 3975. Is t a prime number?
False
Suppose 4*g - 4*y = 231612, -273*g + 271*g = -3*y - 115810. Is g a composite number?
False
Suppose -2*i + 8 = 0, 0 = 11*h - 8*h - 3*i - 64674. Is h prime?
False
Suppose 20*z + 166486 = 22*z - 3*s, -z + 4*s = -83243. Is z prime?
True
Let o = -126101 + 329220. Is o a composite number?
True
Let a(q) = 11678*q**3 - 10*q**2 + 11*q - 1. Let m(c) = -c**3 + c**2 + 18*c + 19. Let g be m(-3). Is a(g) composite?
True
Let n = 540 - 520. Is 3/12*-3 + 64475/n a prime number?
False
Let a be ((-18)/15)/6 + (-4836)/(-5). Let u = a - 497. Let i = u + -259. Is i a prime number?
True
Let h(y) = y**3. Let b(l) = 3*l**3 - l + 15. Let c(i) = b(i) - 6*h(i). Suppose -4*j + f - 18 = 0, 0*f + 5*f = 2*j. Is c(j) composite?
True
Let j(i) = -3*i**3 - 33*i**2 - 113*i + 3. Is j(-20) a composite number?
False
Let p(f) = -38*f - 54. Let d be p(28). Let m = d + 4039. Is m a prime number?
False
Let t = -45284 - -108747. Is t a composite number?
False
Suppose 10*b - 7*b + 101*b - 36871432 = 0. Is b composite?
False
Suppose -6*k = -4*k + 1544. Let o = k - -1170. Suppose 3*x - 307 - o = 0. Is x a prime number?
False
Suppose 3*i - 17475 = -2934. Let n = i + 300. Is n prime?
True
Let b = -330663 - -980686. Is b a prime number?
False
Let v(h) be the third derivative of 214*h**4/3 - 61*h**3/6 - 7*h**2. Is v(6) a composite number?
False
Suppose 23*b = 9357 + 740. Is b composite?
False
Let o = -2372 - -4197. Let t be 6/(0 + 4 + -2). Suppose o = 3*p - 2*p - d, 2*p - 3652 = t*d. Is p a composite number?
False
Suppose 8*y = 10*y + | {
"pile_set_name": "DM Mathematics"
} |
3))
-1/29
What is the value of (-3*3)/(-1)*(-240)/((-960)/(-8))?
-18
What is (-36)/(-150)*(-105)/14?
-9/5
What is (1/(-7)*-5)/((-5280)/(-6336))?
6/7
Calculate (-60)/16*10/15*-6.
15
What is the value of 3/((-1*(-2)/(-14))/((-1552)/4074))?
8
Evaluate (42/(-35))/(14/(-15))*(-5)/(-15).
3/7
Evaluate (-35)/(-245)*((-126)/20)/3.
-3/10
What is ((-172)/1032)/(2/(-4))?
1/3
(12/(-99)*1)/((-16)/72)
6/11
What is 1*3*((-9)/(-15))/((-483)/(-5635))?
21
Calculate ((4/5)/((-666)/(-1665)))/((-3)/(-24)).
16
What is -4*((3059/(-28))/(-19))/(-1)?
23
What is (((-528)/36)/11)/(-1*1/3)?
4
(25/((-1050)/56))/(5/3)
-4/5
Evaluate (-20*26/(-8450))/((-4)/10).
-2/13
Evaluate (-10)/9*(-54)/5.
12
Evaluate (-25)/325*2*1*(-4)/8.
1/13
What is 35/(-42)*(-13)/(39/12)?
10/3
What is the value of 24/1080*-9*2*-1?
2/5
Calculate ((-12)/(-10))/(414/8050)*18/(-12).
-35
What is the value of ((-98)/84)/((-15)/(-20))?
-14/9
Calculate (19/((-665)/14))/((-3)/45).
6
285/(-190)*1*8
-12
Calculate 135/(-675)*6/(-51).
2/85
(273/(-15))/13*(-7)/((-343)/(-7))
1/5
What is the value of (41400/2700)/((-3)/((-9)/4))?
23/2
What is ((-30)/108)/((-300)/405)?
3/8
What is the value of (9/21*(-140)/(-150))/(10/75)?
3
Evaluate (2/18)/((-624)/(-432)).
1/13
Calculate (-48)/9*(-1197)/(-532).
-12
What is the value of ((-34)/(-10))/(((-2)/7)/((-430)/(-301)))?
-17
Calculate (-140)/784*70*(-2)/1.
25
Evaluate (30/6090*87)/((-1)/((-7)/5)).
3/5
Calculate ((-16)/(-4)*11/(-143))/2.
-2/13
(38/494)/((-1)/1)
-1/13
((-75)/210)/((-35)/(-21))
-3/14
Evaluate (-8)/4*36/(-96).
3/4
(7/(-10))/((-882)/210)
1/6
What is the value of ((-18)/(-8))/(((-120)/(-128))/(-5))?
-12
What is (3816/(-11872))/(1/((-14)/(-6)))?
-3/4
What is the value of ((-23)/(-2))/((-32)/(-64))?
23
What is the value of (-24)/((-1224)/(-119))*(-72)/462?
4/11
6/66*-11*1/2*-2
1
What is (2/1)/(34/(816/(-168)))?
-2/7
What is (2*3*(-4)/6)/(3172/26)?
-2/61
Evaluate (12/2)/216*78/78.
1/36
(250/(-250))/((-2)/4)
2
((-112)/7)/((-4)/1)
4
What is the value of (-840)/(-225)*3*25/20?
14
Calculate 91/(-637)*(-14)/4.
1/2
Evaluate (-12)/12*51/(-34)*2.
3
(((-8673)/(-343))/(-59))/((180/(-21))/(-3))
-3/20
Evaluate ((-8355)/(-120312))/(2/(-16)).
-5/9
What is the value of -5*177/(-4425)*3/((-6)/16)?
-8/5
What is the value of ((2/(-44))/(185/(-1480)))/(2*1)?
2/11
What is (-6)/(-63)*(-763)/(-109)?
2/3
((-8082)/(-3143))/(3/(-14))
-12
What is the value of 31/((-217)/84)*-2*7/(-21)?
-8
(-852)/(-213)*(-1)/((-246)/(-3))
-2/41
What is 32/12*(-2160)/1152?
-5
Evaluate (9/((-576)/(-16)))/(-1*(-2)/(-10)).
-5/4
What is (39/104)/((27/63)/(88/(-28)))?
-11/4
(23/(805/40))/(-4*3/(-6))
4/7
Evaluate (25/(-30))/((-315)/27).
1/14
Evaluate 21/(-9)*(-234)/91.
6
Calculate (-7)/18*(-29)/((-3857)/(-76)).
2/9
Calculate 35/(50/(-10))*4*4/16.
-7
What is the value of (220/275)/(2/(-30))?
-12
-10*((-48)/(-60))/((-6)/(-15))
-20
What is the value of ((-36)/(-156))/((-19)/19)?
-3/13
30/56*640/(-240)
-10/7
Evaluate (30/5720*-11)/(1/(-4)).
3/13
Evaluate 3*1015/(-105)*(-9)/(-9).
-29
Calculate (216/54)/(((-5)/2)/5).
-8
What is the value of ((-6)/18)/((-90)/(-54))?
-1/5
Evaluate 536/(-1474)*11/2.
-2
Calculate 3/12*40/(-115).
-2/23
Evaluate 0/((-6)/((-9)/(-3)))*3/9.
0
What is the value of (-4)/(-50)*5*(-15)/1?
-6
Evaluate 30/475*-6*(-12)/(-216).
-2/95
((-9)/3)/(-8*51/(-544))
-4
4/((3/21*6)/3)
14
Calculate 32*-2*817/(-2752).
19
Calculate (-1)/(-1)*(-35)/15*3.
-7
What is the value of (81/(-1053))/(2/(-6))?
3/13
What is (136/3264)/(4/36)?
3/8
Calculate ((-1)/((-32)/(-26)))/((6968/(-416))/(-67)).
-13/4
What is the value of ((-114)/20)/(-19)*440/352?
3/8
Calculate (29/(290/40))/((-286)/22).
-4/13
Evaluate 8*(-4)/8*-1*14/(-98).
-4/7
Evaluate 27/27*((-9)/(-69))/(-3)*2.
-2/23
((-160)/6*153/(-85))/3
16
Evaluate (-24)/(-81)*(-1)/((-12)/3).
2/27
What is the value of ((-44)/(-22))/(2/(-7)*1)?
-7
((27/12)/3)/((-15)/(-380)*-2)
-19/2
Evaluate (8/2)/(-7*20/(-35)).
1
What is (-4)/((-13)/351*-12)?
-9
What is the value of (-8)/(-6)*3456/512?
9
What is 1*(-12)/132*-1?
1/11
What is the value of (12*(-1218)/3024)/(2/(-12))?
29
Calculate (8/20)/((-18)/990).
-22
Evaluate (4/40*-4)/((-8)/(-140)).
-7
What is the value of 2/5*500/1800?
1/9
What is the value of ((-9)/6)/(-6*(-7)/(-238))*2?
17
(-2)/(-1)*(10/12)/(50/270)
9
(-200)/660*((-6)/(-35))/(9/63)
-4/11
What is the value of ((-6)/(-14))/(36/12)?
1/7
Evaluate 10/5*((-20)/6)/((-48)/(-36)).
-5
((-60)/20)/((-5)/(25/3))
5
What is 8/(-14)*4/((-72)/(-63))*-5?
10
What is the value of ((3/(-10))/(-3))/((-91)/(-70))?
1/13
What is the value of (-3)/(15/(-40))*4/(-40)?
-4/5
(-36)/(-32)*(-24)/(-63)
3/7
Calculate 3/3*(-8)/(-6)*798/76.
14
Evaluate 42/(-16)*(-4)/3*(-39546)/(-15379).
9
Evaluate 14/(-35)*(-6)/((-120)/25)*-6.
3
Calculate (-1320)/1210*(-132)/9.
16
Calculate (-72)/(-8)*3/((-12)/4).
-9
Calculate ((-2)/66)/(((-4)/(-24)*8)/2).
-1/22
Evaluate (-6)/15*((-15)/9)/(1/9).
6
Calculate ((-2)/280*-6)/(1*(-7)/35).
-3/14
((-3)/(-10))/(228/(-1330))
-7/4
What is the value of (((-1)/1)/(-2))/(-11*15/990)?
-3
Evaluate ((6/4)/((-243)/972))/((-4)/2).
3
Evaluate 462/33*28/(-49).
-8
What is the value of 21/((306/99)/(-17)*(-22)/4)?
21
Evaluate (((-12)/14)/(14/(-7)))/((-60)/(-105)).
3/4
Evaluate 2/(-72)*10*(-20)/1750*-10.
-2/63
((-5)/12)/((-10)/(-6))*-52
13
What is (-13)/39*(126/27)/14?
-1/9
Calculate ((-41)/(-123))/((-38)/6).
-1/19
What is (-2)/(-39)*-42*(-26)/182?
4/13
What is the value of 222/(-1147)*2*5/30?
-2/31
What is 69/(-7)*-21*(-25)/(-225)?
23
Calculate ((-35)/((-595)/34))/(8/2).
1/2
What is (573/1528)/((-6)/(-4)*(-4)/(-96))?
6
What is ((-7)/(-7))/((-4)/60)*3/(-27)?
5/3
(33/88)/(3/(-10))*20/5
-5
What is (1/(-2*1))/((-10754)/(-2264))?
-2/19
What is (((-12)/(-24))/(1/2))/((-5)/3)?
-3/5
What is (2/(1/(-1)))/(4/((-3)/(-3)))?
-1/2
What is the value of 274/(-1507)*(-1)/(-1)*11?
-2
1/(-27)*(-3393)/754
1/6
Evaluate (-12*1/(-14))/(832/(-728)).
-3/4
Evaluate (((-84)/12)/42)/(4/16*1).
-2/3
Calculate ((-68)/4)/((-12)/24*(-22)/(-11)).
17
(19/95)/(63/70)
2/9
What is the value of ((-102)/(30/(-30)))/6?
17
What is (-21)/(-12)*(-12)/(-42)?
1/2
Evaluate (0*15/795)/((-4)/(-2)).
0
231/(-1485)*(-84)/(-98)
-2/15
Calculate ((220/(-6))/11)/((-45)/162).
12
((-28)/(-14))/((-16)/(-88))
11
Calculate 8*12/((-240)/(-5)).
2
Calculate (45/(-90))/((-14)/(-88)).
-22/7
What is the value of (32/72)/2*(-5)/2?
-5/9
Calculate ((-7)/(490/(-12)))/(648/810).
3/14
What is the value of ((-1)/(-12)*2)/(4/456)?
19
Evaluate (240/50)/12*15*-1*-4.
24
(10/(-15))/((-280)/360)
6/7
Calculate (400/240)/((-10)/(-36)).
6
What is the value of (93/5704*23)/((-14)/(-16))?
3/7
Calculate (-8)/6*(80/940)/(16/6).
-2/47
Calculate (-3975)/(-159)*(-1)/(-5).
5
Calculate ((-1)/39)/(6/72*-2).
2/13
((-15)/12)/(122/(-2440))
25
Evaluate (6/20)/((-5)/(-10)*(-5)/5).
-3/5
10/2*20/(9600/16)*-6
-1
Evaluate (572/(-34320))/(1/4).
-1/15
Evaluate (-13)/(-46)*1128/3666.
2/23
What is 3/2*(-30)/(-2025)*-10*3?
-2/3
Calculate (-9)/(-3)*(-70)/(-140).
3/2
Evaluate (-4)/((-52)/(((-7)/7)/((-6)/36))).
6/13
What is 8/(-25)*430/(-516)*(-4)/(-4)?
4/15
What is (-7*2/(-2))/(((-2520)/(-21))/(-24))?
-7/5
What is the value of (-360)/(-810)*(-1863)/(-36)?
23
What is (-256)/24*(-2)/(4/(-3))?
-16
What is (4*50/125)/((-4)/6)?
-12/5
Evaluate (8/1088*-4*-6)/(-3).
-1/17
(((-8)/(-10))/(-2))/(((-5909)/1140)/(-311))
-24
36/18*1/6*6/37
2/37
What is the value of 4/(-1)*2075/6640?
-5/4
What is ((-96)/42)/(-8)*(-2)/2?
-2/7
Evaluate (-13)/(-4)*15/(-260)*-8*-2.
-3
What is (-110)/44*(-48)/(-4)*12/30?
-12
Calculate (-6*10/(-16))/(-3).
-5/4
Evaluate ((-105)/(-50))/(63/45).
3/2
Calculate (118/(-1770))/((-14)/(-1400)).
-20/3
What is -3*2*(-16)/32?
3
What is (25/(-70))/((-635)/(-381))?
-3/14
What is the value of (((-9)/(-21))/((-8)/(-56)))/(-1)*10?
-30
What is (((-272)/(-12))/17)/(5/225*-2)?
-30
What is the value of (-126)/(-70)*1/3*1?
3/5
Evaluate (-6)/(-64)*1140/(-2565).
-1/24
Evaluate ((-10)/4)/((-4085)/(-76)).
-2/43
Evaluate 560/224*(-12)/1065.
-2/71
What is ((-1)/(-4)*384/(-352))/(12/(-8))?
2/11
What is (12*62/(-5208))/((-16)/(-14))?
-1/8
What is the value of (1*1*4)/((-741)/741)?
-4
Calculate 6/(-22)*14/(-8)*3144/(-917).
-18/11
Calculate ((-138)/207)/(20/(-8)*(-3)/5).
-4/9
Evaluate 9/20*1360/(-1020).
-3/5
(117/(-42))/(((-240)/(-70))/4)*1
-13/4
Evaluate -14*(-6)/((3/(-4))/((-87)/(-696))).
-14
Evaluate (9/72)/((-648)/(-576)).
1 | {
"pile_set_name": "DM Mathematics"
} |
5
Four letters picked without replacement from vvvvvvvnvvvvvkkk. Give prob of picking 3 v and 1 n.
11/91
Two letters picked without replacement from eisks. What is prob of picking 1 i and 1 e?
1/10
Calculate prob of picking 1 b and 2 o when three letters picked without replacement from byoyobbbwwbybbb.
8/455
Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {e: 2, l: 1, t: 2}.
1/10
What is prob of picking 1 a and 2 i when three letters picked without replacement from iaiaia?
9/20
Calculate prob of picking 1 d, 1 a, and 2 z when four letters picked without replacement from {z: 2, a: 1, d: 1, h: 1}.
1/5
Four letters picked without replacement from {a: 5, i: 4, y: 1, v: 3}. What is prob of picking 1 v and 3 a?
6/143
What is prob of picking 2 f when two letters picked without replacement from iff?
1/3
Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 6, i: 5, l: 2, u: 2, v: 3}.
1/136
Two letters picked without replacement from iiijiiibjib. What is prob of picking 1 b and 1 i?
14/55
What is prob of picking 1 n and 1 l when two letters picked without replacement from tqjqjrjqlqnrq?
1/78
Two letters picked without replacement from {e: 2, y: 5, q: 12}. Give prob of picking 1 e and 1 q.
8/57
What is prob of picking 2 c when two letters picked without replacement from ffffffffcfcff?
1/78
Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {b: 2, o: 10, i: 4, h: 1}.
3/34
Two letters picked without replacement from ccpccccppcccccpcpcc. Give prob of picking 1 p and 1 c.
70/171
What is prob of picking 3 d and 1 l when four letters picked without replacement from {d: 3, l: 8}?
4/165
Two letters picked without replacement from {o: 5, z: 1, g: 9, k: 5}. What is prob of picking 2 o?
1/19
What is prob of picking 2 e, 1 k, and 1 s when four letters picked without replacement from {t: 6, y: 1, e: 2, s: 1, r: 8, k: 2}?
2/4845
Three letters picked without replacement from {p: 2, r: 8, a: 4, n: 1, l: 2, c: 3}. Give prob of picking 1 a, 1 n, and 1 r.
8/285
What is prob of picking 2 p and 1 y when three letters picked without replacement from ypyypyy?
1/7
Calculate prob of picking 1 v and 3 t when four letters picked without replacement from vvnttvnvvtvt.
8/165
Four letters picked without replacement from krmki. Give prob of picking 1 k, 1 i, 1 r, and 1 m.
2/5
Two letters picked without replacement from ffgii. Give prob of picking 2 i.
1/10
Three letters picked without replacement from siefjja. Give prob of picking 2 j and 1 i.
1/35
Three letters picked without replacement from iiiiihiiiiiiihiiiiii. What is prob of picking 3 i?
68/95
Three letters picked without replacement from {m: 4, a: 1, c: 7, b: 6}. Give prob of picking 2 m and 1 a.
1/136
Three letters picked without replacement from ikkiyuso. What is prob of picking 2 u and 1 i?
0
What is prob of picking 3 a when three letters picked without replacement from matmmmlmkmaat?
1/286
What is prob of picking 2 w and 1 b when three letters picked without replacement from {o: 2, b: 1, w: 1}?
0
Four letters picked without replacement from {u: 2, c: 7}. What is prob of picking 1 u and 3 c?
5/9
Calculate prob of picking 2 a and 1 z when three letters picked without replacement from uzzuzzzzuauauaa.
36/455
Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {g: 5, c: 3, v: 4}.
3/55
What is prob of picking 1 n and 1 m when two letters picked without replacement from kmbnbgbbkhbgbnmkk?
1/34
Three letters picked without replacement from {d: 5, p: 3, t: 1, f: 1}. Give prob of picking 1 p, 1 f, and 1 t.
1/40
Two letters picked without replacement from {d: 1, l: 9, p: 1}. What is prob of picking 1 d and 1 p?
1/55
What is prob of picking 1 r, 1 v, and 1 k when three letters picked without replacement from {x: 1, p: 1, k: 1, d: 1, v: 1, r: 2}?
2/35
Three letters picked without replacement from {d: 5, w: 5}. Give prob of picking 2 d and 1 w.
5/12
Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {j: 3, r: 4}.
4/7
Three letters picked without replacement from ngggn. Give prob of picking 1 g and 2 n.
3/10
Two letters picked without replacement from shikssibbsbvbhh. Give prob of picking 1 b and 1 h.
4/35
Two letters picked without replacement from {y: 1, k: 7, t: 6}. Give prob of picking 1 t and 1 y.
6/91
Three letters picked without replacement from llllllllll. What is prob of picking 3 l?
1
Two letters picked without replacement from wfwwwfwjwwkwwkfwkjj. Give prob of picking 1 w and 1 f.
10/57
Calculate prob of picking 1 a and 2 c when three letters picked without replacement from accccccacccccccccc.
5/17
Calculate prob of picking 1 l and 3 n when four letters picked without replacement from nlwwnnwlwwwln.
12/715
What is prob of picking 2 k and 1 f when three letters picked without replacement from fkfnnknrpf?
1/40
Two letters picked without replacement from {e: 6, f: 7}. Give prob of picking 1 e and 1 f.
7/13
What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 3, l: 10, f: 1, p: 1}?
1/35
Four letters picked without replacement from {c: 6}. Give prob of picking 4 c.
1
What is prob of picking 1 y, 1 o, 1 b, and 1 s when four letters picked without replacement from {b: 2, t: 3, y: 4, o: 1, s: 3, m: 3}?
6/455
Calculate prob of picking 1 g, 2 i, and 1 y when four letters picked without replacement from ydzgzzgziizydgozgd.
2/765
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from agfggfffmffffgafgc.
1/17
Three letters picked without replacement from {w: 5, t: 3}. What is prob of picking 1 t and 2 w?
15/28
What is prob of picking 3 d and 1 g when four letters picked without replacement from dgdgg?
0
Two letters picked without replacement from {i: 3, l: 5, s: 1, c: 1}. Give prob of picking 2 l.
2/9
Calculate prob of picking 4 f when four letters picked without replacement from {w: 1, f: 13, h: 1}.
11/21
What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvvvvrvvvvvvv?
9/10
Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 1, i: 1, q: 5, y: 3, h: 2}.
1/78
Three letters picked without replacement from {z: 1, j: 1, d: 2, l: 2, n: 10}. Give prob of picking 1 d, 1 j, and 1 n.
1/28
What is prob of picking 3 d and 1 i when four letters picked without replacement from diiddd?
8/15
Calculate prob of picking 1 i and 2 b when three letters picked without replacement from ibirrrrrb.
1/42
Four letters picked without replacement from {i: 1, g: 7, x: 6}. What is prob of picking 4 x?
15/1001
Four letters picked without replacement from {u: 4, e: 3}. What is prob of picking 2 e and 2 u?
18/35
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from thytjerh.
1/28
Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 3, s: 3, v: 2}.
9/28
Four letters picked without replacement from {d: 4, f: 2, i: 4, u: 1, b: 2, h: 1}. Give prob of picking 1 u, 1 h, and 2 d.
6/1001
What is prob of picking 1 u, 1 z, and 1 e when three letters picked without replacement from eyeyyuecyeezeppy?
3/280
Four letters picked without replacement from sksnkn. Give prob of picking 2 s and 2 n.
1/15
Calculate prob of picking 2 z when two letters picked without replacement from zyzyhyz.
1/7
What is prob of picking 1 h and 1 d when two letters picked without replacement from dlhhhllh?
1/7
What is prob of picking 2 c and 1 x when three letters picked without replacement from {r: 8, x: 5, c: 2}?
1/91
Calculate prob of picking 1 r and 1 m when two letters picked without replacement from tdbmytdtdbbbydyyybrr.
1/95
Calculate prob of picking 3 o and 1 x when four letters picked without replacement from {x: 4, o: 7, u: 2}.
28/143
Calculate prob of picking 2 p, 1 s, and 1 y when four letters picked without replacement from pikyypppskpyiskssp.
1/17
What is prob of picking 1 h, 1 k, and 1 s when three letters picked without replacement from {k: 2, s: 3, h: 3}?
9/28
What is prob of picking 2 v when two letters picked without replacement from {n: 4, e: 1, o: 3, s: 1, v: 2}?
1/55
Two letters pi | {
"pile_set_name": "DM Mathematics"
} |
0 = 5*x - 0*x - 3*q for x.
0
Let q be (5/5*(-2 - -2))/(-1). Solve 28 = -q*d + 5*d - 3*i, i = -1 for d.
5
Let q(m) = m**2 + 6*m + 5. Suppose -3*n + 4*p = 41, -18 = 4*n + 4*p - 2*p. Let x be q(n). Solve -2*r + 5*t = 14, 6*t - 3*t - x = 0 for r.
3
Let r be 4/(-3 - (-2 - 2)). Let t = r + -1. Suppose -5 = -4*q + t. Solve 5*n - 15 = 2*u + q*u, -3*u + 3*n = 9 for u.
0
Let p(t) = -t**3 + 3*t**2 + 3*t + 7. Let m be p(4). Solve 5*j - 10 = -5*z, -4*z - 10 = -m*j + 3 for z.
-1
Let w be (-92)/28 - (-2)/7. Let p = -1 - w. Solve -2*i + p*o = -2*o + 2, -6 = 3*o for i.
-5
Let w(z) = -3*z - 33. Let v be w(-16). Solve 0 = 5*r + 2*i + v, 3*r = 4*r - 4*i + 3 for r.
-3
Let x be 2*(-2 - (-4 + 3)). Let k be 2 - 2/x*1. Solve 5*y = -f - 15, k*y - 4*y - 3*f - 3 = 0 for y.
-3
Suppose -3*y + 3 = -6. Suppose 65 = 2*h + y*h. Solve -3*n + h + 0 = 2*r, -5*n = -2*r - 27 for r.
-1
Let v = -7 + 10. Suppose 2*n + 2*z + 6 = -2*z, -3 = n + v*z. Let i be 3/n + 1 + 1. Solve 0 = h - 4, -h - i = g - 3 for g.
-2
Let v be (2 - 2)*(-1 - -6)/(-10). Solve -b + 2*x - 6 = -3*b, -b - 5*x + 11 = v for b.
1
Let b(z) = -z - 1. Let f be b(-5). Solve f*s + 2*l = 2, -12 = -3*s - 6*l + l for s.
-1
Let v = 69 + -65. Solve -4*m + 6 = 2, -v = -3*x + 5*m for x.
3
Suppose 2*p - u = -0*p + 19, -60 = -5*p + 5*u. Solve 2*i - 6 = -2*q, i + 0 - p = -2*q for q.
4
Let h(c) = -2*c - 5. Let d be h(-4). Let m(k) = -3*k + k**2 + 7 - d*k + 0. Let r be m(5). Solve f = -3*x, r*f = -0*f + 5*x for f.
0
Suppose 4*l = 3*i + l + 6, 4*l - 2 = i. Let v be i/(-12) - (-3)/(-18). Solve v = 3*z + w - 13, -z + 8 = 4*w for z.
4
Suppose 4*v = 5*j - 87, -2*v = -4*j + 6*j - 24. Solve -5*h + 5*f = -j, -12 = 3*h + 4*f - 0 for h.
0
Let a = 7 + 1. Let w(j) = 3 - 4 + a*j**2 - j**3 - 5*j - 8. Let q be w(7). Solve -3*i + 7 = -c, -4*i + 3*c = -3*i - q for i.
2
Let t = -1 + 16. Let k be (20/t)/((-4)/(-6)). Solve 4*i - 5*v + k = -3, 2*i - 2*v = -4 for i.
-5
Suppose 3*k - 4*k = 0. Solve 2*z + 0*b - b + 10 = k, z + 5*b + 5 = 0 for z.
-5
Let t(z) = 0 + z + 0*z + 0*z + 1. Let a be t(-2). Let n = a - -4. Solve -3*b + 2 = 5*j - 7, -3*b + n*j = -9 for b.
3
Let u(m) be the first derivative of m**3/3 - 2*m**2 - 3*m - 2. Let a be u(5). Suppose -8 = -2*d + 2. Solve -12 - 14 = -5*v - 4*f, -a*f = d*v - 18 for v.
2
Suppose -5*o + 7 + 3 = 0. Suppose -10 = -3*m + o. Solve -m = 4*h + 3*p - 0, -36 = 4*h - 5*p for h.
-4
Let t(k) = -2*k**2 + k. Let h = 5 + -2. Let b be t(h). Let p = 22 + b. Solve -4*y - p = 3*v - 0*v, 0 = -4*y + 4*v + 28 for y.
2
Let g be 1/((-1)/(1*-3)). Let d be 22/g + (-4)/(-6). Suppose -4*j + 8 = -d. Solve -j*w - 5*v = -0*v + 25, -3*v - 15 = -5*w for w.
0
Let k be (-2)/(-10) - 2/10. Solve k*w + 5*w + 35 = -5*o, -5*o - w - 19 = 0 for o.
-3
Let q be (-38)/(-6) - 2/6. Solve -2*t + 2*u = -4*t + 10, 0 = -t - 2*u + q for t.
4
Suppose 4*z = 3*z - 5. Let w = z - -15. Solve -2*r = -3*r + 5*d - w, -4*d = -4*r - 8 for r.
0
Let o(b) = -b**2 - b. Let k be o(-1). Let c be 0*((-10)/(-4) - 3). Solve c = -3*y + 4*l - 6, 7 = -y - k*y + 3*l for y.
2
Let j = -7 - -12. Solve 2*y = r - 3 + 8, -7 = -j*y - 3*r for y.
2
Let z(m) = -m**3 - 7*m**2 - 3*m. Let n = 9 - 15. Let l be z(n). Let w be (l*1)/((-4)/2). Solve -3*b - w = 2*t, 0*b - b - 1 = 0 for t.
-3
Suppose -5 = -4*h + 3. Let v = -1 + h. Solve -4 = -2*n - s, -v - 5 = -3*n + 5*s for n.
2
Suppose 24 = -3*k - k. Let v = k + 11. Solve -3*h - 4*n = -27, v*h + 7 = -2*n + 38 for h.
5
Suppose -2*q = q - 18. Let s(h) = h - 2. Let v be s(q). Solve -v*w = 4*d + 4, 3*d = -d for w.
-1
Suppose l - 1 = 1. Suppose 2*y = -l*y + 12. Suppose 3*d = y*s + 6, -5*d = 4*s - 8*s - 11. Solve d*w + 5 = -2*n - 2, -2*n + 3*w - 1 = 0 for n.
-2
Let p(k) = k. Let v(y) = -y**2 + y - 2. Let x(s) = 4*p(s) - v(s). Let z be x(-2). Solve z = 4*c - 2*h + 14, -3*c - 4*h + 5*h = 8 for c.
-1
Suppose -l = -5*k + 11, -k = 3*l - 1 + 2. Solve 2 = -3*v + k*v, 0 = 5*c + 4*v + 13 for c.
-1
Let f = 5 - 4. Suppose -2*w + 22 = -3*d - f, -4*w + 41 = -5*d. Suppose 0 = -0*g + w*g. Solve 0 = o + 2, -2*v = -g*v + 4*o + 4 for v.
2
Let u(x) = -x - 2. Let q be u(-6). Suppose 0 = l - 4*l + 5*m - 6, -4*m = -q*l. Solve -1 = 2*k - 3*i, l*i = -k + 5*i for k.
-2
Let i be (8/24)/(1/15). Solve 4*n - l = -11, i*n - 5 = -2*l - 3*l for n.
-2
Let p = -3 + 6. Let c be 1*(8 + -3 + 2). Suppose -19 = -p*w - c. Solve w*t + 12 = 4*o - 0*o, 0 = 4*t - 3*o + 11 for t.
-2
Suppose 5*i - 25 = 0, 3*a - 173 = -a - 5*i. Solve -4*d - 3*y = -27, 3*y = -4*d - 2*y + a for d.
3
Suppose 3*k = 3*g - 15, 5*g = -3*k - k + 7. Suppose g*v = 3, 0 = -4*u - 5*v - 2 + 15. Solve -r - f + u*f - 9 = 0, -2*f = 4*r + 12 for r.
-5
Let x be (-36)/(-27)*18/4. Suppose 4*r - 14 + x = 0. Solve 3*s = -15, r*s = -5*l - 0*l - 5 for l.
1
Let b(z) = z + 9. Let f be b(-7). Suppose -r + 7 = 3. Solve 0 = -h - 2 - f, 0 = -r*n - 5*h - 28 for n.
-2
Let c = -13 + 7. Let g = c + 11. Solve -4*j + y + 4*y = -6, -g*y - 14 = 4*j for j.
-1
Let t(n) = -n**3 - n**2 + 4*n - 1. Let l be t(-3). Let r = 3 + 0. Suppose r*b - 26 = -s, 2 + 8 = 5*s. Solve -3*j - l*f + b = 0, 3 - 5 = -j - f for j.
1
Let h(u) = 3*u + 8. Let v be h(-6). Let t be 10*(18/v - -1). Let c(r) = -2*r - 11. Let p be c(t). Solve -p*q - 24 = d, -4*q - q = -d + 16 for d.
-4
Let f(l) = -l**3 + 4*l**2 + 2*l - 6. Let m be f(4). Solve 0*k + k = -3*u - 4, 4*u + m = -3*k for u.
-2
Let r = -7 - -5. Let w = r + 3. Solve 0 = y - w, 0 = 3*t + 5*y - 0*y - 5 for t.
0
Let j be (1/4)/1*20. Solve -j*y + 4*t = -9, 0 = 4*y - 3*t - 5 - 2 for y.
1
Suppose 22 = 2*z - 5*g + 7, 0 = 3*z + g + 3. Suppose -2*x - 9 = -y, 0 = 2*y + 3*y + 2*x + 3. Solve -5 - 2 = 5*j - 3*c, z = -2*j + 5*c + y for j.
-2
Let r be (-4)/(-4 - (-9 - -4)). Let g = -4 - r. Solve g = -u + 1 - 0, 0 = 3*c - 2*u + 5 for c.
-1
Let a = 24 - 15. Solve -g = l - 3, -2*g - g - 4*l = -a for g.
3
Let g(s) be the third derivative of 1/60*s**5 + 0 - 3*s**2 + 0*s + 2/3*s**3 + 1/8*s**4. Let l be g(-3). Solve -2*d - 1 = -4*w + 9, -l*w + 13 = -d for d.
3
Let p = -19 - -23. Solve -4*r + 4*s = 12, -14 = p*r + 4*s + 6 for r.
-4
Let u(l) = -19*l**3 - l**2. Let t be u(-1). Let w(b) = 6 + 6*b**2 - 5*b**2 - 9 + 7*b - 2*b. Let q be w(-6). Solve -5*o - z = -t, 4*z - q - 9 = -5*o for o.
4
Suppose -3*a - 3*d = -27, 4*a = a - 2*d + 24. Solve -2*b + 2*r = 1 + 9, 0 = 3*b + 4*r - a for b.
-2
Let d be 2 - 0 - (-2 + 0). Solve 0 = -d*s + 3*t + 26, 0 = 5*s + 3*t - 0*t - 19 for s.
5
Let m = 8 - -1. Let i = m + -3. Let f be (4/i)/(2/6). Solve -u = -2*z + 3*z - 1, -f*u = -5*z + 19 for u.
-2
Let n(q) = -7 - 2 + 5*q**2 - 1 - 5*q - 4*q**2. Let m be n(7). Let w be 0 + 4 + 1 + 0. Solve w*h + 0*k - 16 = -2*k, -5*h + m = -2*k for h.
2
Suppose 4*r - 19 = -3*t, -3*r + 17 = 2*r - 3*t. Suppose 4*n + 24 = r*u, 2*u - 2*n + 4*n - 28 = 0. Solve -2*b + 17 = -5*j, -2*b - 3*b - u = 5*j for j.
-3
Let i(a) = -a**2 + 19*a + 23. Let j be i(20). Let q(g) = g**3 - 2*g**2 + 2*g - 1. Let y be q(1). Solve y*h + 4*h = -5*k - 22, 4*h + 6 = j*k for k.
-2
Let r = 4 + -4. Suppose r = c + 2*w - 27, 5*c - 124 = 3*w - 2*w. Solve -2*j + 5*i + 26 = -j, -5*i = c for j.
1
Suppose -2*b - 2*b = -h - 18, 5*h + 10 = 0. Suppose -b = -r, a = -4*a + 5*r + 15. Solve 2*k - g + a = 14, -20 = 5*k + 5*g for k.
1
Let p = -1 - -5. Let n be (4/(-6))/2 - 248/(-24). Solve n = -5*c + 3*q, -3*c = p*q + q + 40 for c.
-5
Let f(a) = 2*a**3 + a**2 + a - 1. Let c be f(1). Let z(b) = b**2 - 2*b. Let g be z(c). Solve 3*t = r + 2 - 0, 0 = 5*r + g*t - 8 for r.
1
Suppose 74*l = 71*l + 9. Solve -s = -3*i - 20, -l*s + 41 = -5*i + 1 for i.
-5
Let n(o) = -3*o**3 + 4*o**2 - 3*o. Let x be n(2). Let i be (-1)/2 + x/(-4). Suppose -r = -3*k - i*r, -3*r = 3*k. Solve k = -h + 3*b - 6, h = -2*h + 3*b for h.
3
Let n be (-2 - -5 - 2) + 2. Let i be 42/2 + (n - 4). Suppose 4*y - i + 4 = 0. Solve -y*g + 2*g + 31 = -5*c, -27 = -4*g + 3*c for g.
3
Let f be 6*2*5/15. Suppose 2*b - 3*b + 12 = -5*g, 0 = -f*b + 5*g + 18. Let v(d) = -d**2 + 6*d + 2. Let r be v(6). Solve -w + b*p - 15 = -r, w = 4*p - 23 for w.
-3
Let t(n) = -n**3 - 14*n**2 + 13*n + 5. Let i be t(-15). Solve -4*h + 3*p - i = 0, 9 + 6 = -h + 2*p for h.
-5
Suppose 6*t - 16 = 2*t. Suppose 2*z + 2*v - 8 = 3*v, -t*v = -3*z + 7. Solve 0 = 3*o + 3*c + 30, z*o - 2*o + 2*c + 25 = 0 for o.
-5
Let n(r) = 19*r + 1. Let u be n(1). Suppose 2*s = 2*f - 14, 0 = -9*f + 4*f + 2*s + u. Solve -5*z = -f*d + 23 - | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 91*m + 736*m + 1010*m + 1603*m to the form u + v*m and give v.
3440
Rearrange (-4*u + 5 - 5)*(8*u - 8*u + 16*u**3) - 73*u**4 - 14222*u**3 + 14222*u**3 to the form l*u**4 + i*u + j + z*u**2 + k*u**3 and give l.
-137
Express (-3*z - 2*z - 3*z)*(7*z - 3*z - 3*z) + (0*z - z + 0*z)*(5*z + 0*z + 2*z) + 7*z**2 - 4*z**2 + 9*z**2 in the form i*z**2 + w + r*z and give i.
-3
Rearrange (0*o + o + 0*o)*(9 + 9827*o**2 - 9827*o**2 - 2*o**3) to x*o**3 + t*o + c*o**2 + f*o**4 + b and give t.
9
Express 3282*u**2 + 3412*u**2 - 956*u**2 in the form t*u + s*u**2 + d and give s.
5738
Express -5*y**3 + 3*y**3 - 20*y**3 + 2 + 0*y**3 - 3*y - 13*y**3 as o*y + s*y**2 + g + p*y**3 and give g.
2
Rearrange 1235*t - 4*t**3 - 10 + 30*t**2 + 0 - 5 - 31*t**2 + 16 to the form z*t**3 + g + r*t + y*t**2 and give y.
-1
Express -6352*t + 2617*t + 2390*t - 2 as j + z*t and give j.
-2
Express ((-3*a - 4*a + 3*a)*(5 - 2 - 1) - 2*a + 4*a + a - 1 + 2*a + 1)*(9*a - 39*a - 1 + 2*a**2 - 55*a) as s + u*a + f*a**3 + r*a**2 and give f.
-6
Express -1235*c - 587*c + 7*c**2 - 5*c**2 + 758*c - 1182*c as j + b*c + i*c**2 and give i.
2
Express (11*b - 4*b + b)*(98*b + 55*b - 12*b + (3 - 4 + 0)*(-2*b - 3*b + b)) as f + g*b + m*b**2 and give m.
1160
Rearrange -1176449*o + 83 + 1176445*o + 1780 to h + j*o and give j.
-4
Rearrange 9*r + 41 + 618*r**2 + r**3 - 306*r**2 + r**3 - 311*r**2 to the form g*r + t + d*r**3 + p*r**2 and give t.
41
Rearrange -10*v**2 - 5048*v**3 + 4968*v**3 - 2 - 9*v**2 + 18*v**2 + 32*v**4 to h*v**4 + z*v**3 + m*v + r + a*v**2 and give h.
32
Rearrange -1 + 7635*v - 11391*v + 3 to the form y*v + m and give y.
-3756
Rearrange (-4 + 4 + 2*w)*(6971*w**2 - 3621*w**2 + 9 - 3534*w**2) to n*w**2 + h*w**3 + a + q*w and give a.
0
Express -22*k - 1259*k**2 + 643*k**2 + 706*k**2 in the form w*k + h + a*k**2 and give a.
90
Express 20*f**2 + 8*f**3 - 4*f**3 + f + 91 - 3*f**3 - 19*f**2 in the form q*f + g + s*f**3 + o*f**2 and give g.
91
Express 1 - 3*a**2 + 15*a**3 - 3*a + 2*a**2 + 17*a**3 + 3*a**4 - 9*a**3 in the form b*a**4 + d*a**3 + i*a**2 + x + m*a and give m.
-3
Rearrange 7727542*p**4 + 1 + 3*p**2 - 7727506*p**4 + 3*p - 2*p to the form i*p + n*p**3 + m*p**4 + a*p**2 + s and give s.
1
Rearrange (6 + 5 - 2)*(-3 - 2 - 9)*(47 - 24 - 19*h - 27) to q + d*h and give d.
2394
Express -268*a**2 - 101 - 5*a - 334 - a + 266*a**2 as l*a + p*a**2 + g and give p.
-2
Rearrange -11853 - 2395*y - 2496*y + 4892*y to the form f + p*y and give p.
1
Rearrange -9*q**2 + 0*q**2 - 484*q - 2*q**2 + 1 - 2*q**3 + 243*q + 240*q to the form c*q**2 + a*q**3 + r*q + i and give r.
-1
Rearrange (0 + 0 + k**2 + (-k - 2*k - k)*(k + 0*k + 0*k) - 10*k**2 + 3*k**2 + 2*k**2)*((-3 - 21 - 18)*(10 - 1 - 2) + 4 - 4 + 1) to o + t*k**2 + h*k and give t.
2344
Express (6 + 1 - 1 + (-1 + 6 - 3)*(-6 + 3 + 4) - 1 - 1 + 3 + 4 - 2 - 3)*(5 + j + 0*j - 9) + 2*j + 0 + 0 + 4*j + 3*j + 7*j in the form i + t*j and give t.
24
Rearrange (-8*t**2 - 12*t + 12*t)*(-27 - 66 + 23) to the form o*t**2 + b + r*t and give o.
560
Rearrange 2*t + 8 - 3*t**2 + 3*t**2 + 128*t**4 + 1722*t**3 - 1717*t**3 to the form z*t**3 + r*t**4 + u*t**2 + v + i*t and give z.
5
Rearrange 5*a**2 - 6*a**2 + 5*a**2 + (-9 + 35*a**2 + 9)*(-1 + 9 - 3) - 1 + 1 - 2*a**2 to the form x*a**2 + c*a + b and give b.
0
Express 5*k**2 - 7*k - 3*k**2 - 6*k**3 + 95*k**3 + 2 + 7*k in the form c*k**3 + s*k + g + y*k**2 and give g.
2
Rearrange 66*r**3 + 7*r + 0 - 14 + 8 - 8*r + 0 to the form m*r + v + x*r**3 + p*r**2 and give m.
-1
Express k + 3662*k**2 - 1595 + 779 + 3610*k**2 + 814 in the form c + q*k**2 + l*k and give l.
1
Express 67 + 129 - 279*f - 1478*f - 196 as x*f + i and give x.
-1757
Rearrange (-34 - 18*c + 34)*(2 - 3 + 2)*(33*c + 55 + 57 - 115) to q*c**2 + w*c + o and give w.
54
Rearrange 272*c**4 + 391 - 391 + 2 - 2*c**4 + c**4 - 21*c**3 + 19*c**3 + (1 - 1 + c)*(4*c - c**3 - 4*c) to k*c**4 + z*c**2 + o*c + g*c**3 + l and give o.
0
Rearrange 168*r**3 + 17*r**2 - 10*r**2 - 239*r**3 - r to o + j*r**2 + s*r**3 + d*r and give d.
-1
Rearrange 0*u + 2 - u**3 + 0*u - 158*u**2 + 101*u**2 - 3 to the form k*u**2 + t*u**3 + d*u + m and give t.
-1
Express (1696*g - 1499*g - 1 - 8757*g)*(2 + 2 - 3) as b*g + y and give b.
-8560
Express 35327*y - 13255*y**2 - 35327*y as d + j*y**2 + n*y and give j.
-13255
Rearrange (0 - 1 - 4)*(414*v + 1082*v + 4715*v - 1035*v) to y*v + j and give y.
-25880
Rearrange 6683*j**2 - 4011*j**2 - 8*j - 3437*j**2 + (-2*j + 5*j - 4*j)*(0*j - 3*j + 4*j) to s*j**2 + n*j + l and give n.
-8
Rearrange -4818*h**3 + 1081*h + 1613*h**3 + 1604*h**3 - h**2 + 1606*h**3 to q + s*h**2 + f*h + y*h**3 and give y.
5
Express -581*m + 920*m + 3*m**2 + 868*m + 877*m + 1006*m in the form x*m + r + d*m**2 and give x.
3090
Express 307*i - 303 - 1201*i + 303 - 833*i - 5*i + 2*i + 0*i + i - i + 2*i + (1 - 2 + 3)*(0*i - i + 3*i) - i + 0*i + 3*i as q + j*i and give q.
0
Express 2*c**3 - 141 + 26 - 9184*c**4 + 9183*c**4 - 3*c in the form a*c**2 + y + w*c + u*c**4 + f*c**3 and give y.
-115
Express 16*r + r**3 - 740 - 5*r - 10*r - 2*r in the form q + m*r + i*r**3 + g*r**2 and give q.
-740
Rearrange 1269*q - 3439*q + 1214*q + 1173*q to the form p + h*q and give h.
217
Rearrange 14 - 12*w - 87*w + 5 - 8 to x + v*w and give v.
-99
Express -51 - 6*k**3 + 53 - 3*k + 5*k - 634*k**4 + 6*k**3 in the form f*k**3 + z*k**4 + v + t*k + r*k**2 and give z.
-634
Express (-220*q + 375 - 375)*(-4 - 11 + 0)*(-2 + 1 + 3)*(3*q - q - 3 - q) as f + s*q**2 + w*q and give s.
6600
Rearrange 139*i + 96*i - 102*i + 157*i + 90*i to the form h*i + d and give h.
380
Express -6*f + 2669 - 5408 + 2373 as q*f + n and give q.
-6
Rearrange 6*c**3 + 12 + 4*c - 6*c + 0*c**3 - 78 - 35 to the form v*c + x + j*c**2 + o*c**3 and give x.
-101
Rearrange 0 - 2*v + 404702*v**2 - 6 + 2*v**3 - 404701*v**2 to the form t*v + h*v**3 + c*v**2 + w and give c.
1
Express (81 - 696*v + 76*v - 93)*(4 - 1 - 1) as c*v + s and give s.
-24
Rearrange -134112*u + 8*u**3 + 67054*u + 67058*u - 149*u**2 to w*u + l*u**2 + o*u**3 + a and give o.
8
Express -10 + 2*k**2 + 0*k**2 + 1872*k**3 - 1853*k**3 - 11 - 12 in the form h + v*k**2 + d*k**3 + o*k and give d.
19
Express -4*g**2 + 8*g**2 - 2 + 40*g + 6*g**2 - 22*g as v + m*g**2 + i*g and give i.
18
Express r**2 - 504 - 5*r**3 - 14*r + 8*r**4 - 748 + 1253 in the form k*r**2 + a*r**3 + i + t*r**4 + q*r and give t.
8
Rearrange 112*z**2 - 33*z**3 - 130*z**2 + 1 + 287*z**2 + 37*z**3 to the form v*z**2 + p*z**3 + m*z + h and give m.
0
Express (4*d - 4*d - 2*d**2)*(-88 + 88 - 13*d) + 16 - 62*d**2 + 4*d**3 - 5*d**3 + 63*d**2 + 15*d in the form h*d**3 + g + u*d + l*d**2 and give g.
16
Rearrange (-2*k + k - k)*(-418*k - 757*k + 3 - 159*k) to the form i*k + b*k**2 + d and give b.
2668
Rearrange -2*t**4 - 32 + 104117*t**3 - 52060*t**3 + t**2 - t - 52061*t**3 to i*t**4 + x*t**3 + u*t**2 + m + k*t and give u.
1
Express u**2 + 0*u**2 - 689*u - 865 + 687*u as y*u + l*u**2 + i and give y.
-2
Rearrange (-43 + 43 + 29*n)*(-1504*n - 199 + 757*n + 750*n) to the form d + t*n + s*n**2 and give s.
87
Express ((-6*d + 5*d + 54*d)*(-3*d - 2*d + 4*d) + d - d - 2*d**2)*(27 + 85 + 9 + 16) in the form f*d + r*d**2 + g and give g.
0
Rearrange (-3 + 5 - 3)*(13357*h**3 + 860149 - 860149) to c*h**2 + r + m*h**3 + x*h and give m.
-13357
Express 8*c**2 - 10*c**2 + 54*c - 101*c - 205*c - 92*c in the form x + g*c + f*c**2 and give f.
-2
Rearrange -2 - 2*n + 2 - 5*n - 12 + 12 + (n - 6*n + 4*n)*(9 + 11 - 10) + (-1 - 2 + 1)*(-2*n - n + n) - 2*n + 3*n + 0*n to m*n + p and give m.
-12
Express (3*a + 3*a - 4*a)*((-5*a + 4*a + 2*a)*(-12 + 41 - 3) - 38 + 38 - 19*a + 3*a + 3*a - 7*a) in the form t + q*a**2 + m*a and give q.
12
Express (1 - 1 + 3*i)*(-3 + 3 + 2) + (4 - i - 4)*(-3409 + 3061 + 5030) as j*i + l and give j.
-4676
Rearrange f**4 + 176*f**2 + 34*f**3 + 11 + 12 - 32*f**3 - 2*f**4 - 174*f**2 to the form r*f + s + q*f**4 + h*f**2 + t*f**3 and give q.
-1
Express 1211*b - 1 - 1017*b + 3 in the form m*b + n and give m.
194
Express -51*f + 104*f - 50*f - 907*f**2 - 366*f**2 as j + l*f + q*f**2 and give q.
-1273
Rearrange (1721*c**2 + 14170400*c - 14170400*c)*(1 - 1 + 5) to h*c + s + q*c**2 and give h.
0
Express 3390*f**2 + 170*f**4 - 112*f**4 - 3349*f**2 + (3 - 3 + 3*f)*(-1 + 1 - f**3) as a + t*f + y*f**4 + j*f**2 + u*f**3 and give j.
41
Express -2 | {
"pile_set_name": "DM Mathematics"
} |
*t - 886. What is the first derivative of r(y) wrt y?
8186*y
Suppose 2*c = 6*c - 180. Suppose -c = 16*p - 19*p. What is the second derivative of -5*g**5 + 64*g - 25*g + p*g**5 wrt g?
200*g**3
Let v(p) be the second derivative of 0 - 1/4*p**5 + 47*p + 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of v(j) wrt j?
-30*j
Suppose -14*l + 10*l + 288 = 0. What is the second derivative of 2*k**2 - l*k - 55*k**3 + 37*k**3 + 16*k**3 wrt k?
-12*k + 4
Differentiate -3*r**4 - 4*r**3 + 9711 - 2809 + 65*r**4 - 2*r + 1803 + 31*r**4 wrt r.
372*r**3 - 12*r**2 - 2
Let v(z) be the second derivative of -68*z**3/3 + 21*z**2 - 66*z. Let m(c) = -133*c + 41. Let l(j) = 2*m(j) - 3*v(j). What is the derivative of l(s) wrt s?
142
Let n(l) be the second derivative of -l**7/630 - l**6/240 + 73*l**5/120 - 4*l**4 - l + 2. Let g(d) be the third derivative of n(d). Differentiate g(f) wrt f.
-8*f - 3
Let n be 8/16 - (-13)/(-2). Let g(z) = z**3 + 8*z**2 + 13*z + 8. Let x be g(n). Differentiate -9*p**2 - 2*p**2 - 6 - 2*p**x - 11 with respect to p.
-26*p
Let q(d) = 8*d - 1. Let u be q(5). What is the second derivative of 170*b**5 + 3629*b**3 - 3629*b**3 - u*b wrt b?
3400*b**3
Let h(v) be the second derivative of 3*v**7/14 + 453*v**4/2 - 1082*v. What is the third derivative of h(p) wrt p?
540*p**2
Find the second derivative of 6207*u**5 + 1338*u**5 + 3014*u**5 + 55*u - 9254*u wrt u.
211180*u**3
Let s(g) be the third derivative of 0 - 39*g**2 + 0*g**6 - 3*g + 127/210*g**7 + 101/6*g**3 - 1/60*g**5 + 0*g**4. Find the third derivative of s(z) wrt z.
3048*z
What is the third derivative of -c**3 + c + 35*c**5 + c**3 + 2*c**6 - 177*c**2 - 87*c**2 + 31*c**5 wrt c?
240*c**3 + 3960*c**2
What is the third derivative of -252*i**3 - 3138*i**5 + 474*i**3 - 103*i - 222*i**3 - 2*i**2 + 1065*i wrt i?
-188280*i**2
Suppose 61*m - 69*m = -33*m. Let r(n) be the first derivative of -1/4*n**4 + m*n**2 + 0*n + 6*n**3 + 16. Find the third derivative of r(j) wrt j.
-6
Suppose 2*j + 2*j = 20. Let k(l) = 13*l**3 - 5*l**2 - 2*l + 23. Let g(o) = -14*o**3 + 6*o**2 + o - 22. Let s(m) = j*g(m) + 6*k(m). Differentiate s(v) wrt v.
24*v**2 - 7
Let u(i) = i**2 - 16*i + 65. Let r be u(13). Find the second derivative of 2*m**3 + r*m - 4*m + m**3 + 3*m**2 - 1 wrt m.
18*m + 6
Let g(z) = -926*z**3 + 7*z**2 - 91*z + 2. Let w(s) = s**3 + 2*s**2 + 2*s + 1. Let p(b) = -g(b) + 2*w(b). Find the third derivative of p(l) wrt l.
5568
Let v(u) be the second derivative of -193/2*u**2 - 52 + 0*u**5 - 1/6*u**3 + 0*u**4 - 49/30*u**6 - 2*u. Differentiate v(x) wrt x.
-196*x**3 - 1
Let l(n) be the third derivative of 97*n**5/30 + 5*n**4/24 - 638*n**3/3 - 878*n**2. Differentiate l(x) with respect to x.
388*x + 5
Suppose -4*j - 136 = 5*c - 4*c, -5*c - j - 699 = 0. Let r = -59 - c. Find the second derivative of -r - 8*u**2 + 81 - 9*u - u**2 wrt u.
-18
Let l(f) = 13701*f + 9837. Let t(m) = 54820*m + 39346. Let z(o) = -9*l(o) + 2*t(o). Find the first derivative of z(d) wrt d.
-13669
Suppose 8*n - 18*n + 20 = 0. What is the third derivative of 5*y**2 - 3*y**n - 13*y**2 - 12*y**2 + 61*y**3 - 17*y**3 wrt y?
264
Suppose -21*u + 48 = 3*u. Find the third derivative of -6*y + 107*y**5 - 22*y**2 + 9*y**2 + 10*y**u wrt y.
6420*y**2
Let i(y) be the third derivative of 85*y**6 + y**4/12 - 183*y**3 + y**2 - 391*y - 2. What is the second derivative of i(j) wrt j?
61200*j
Let i be (-3)/(-57) + -17 + 1610/95. Let p(x) be the first derivative of 1/4*x**4 + i*x + 0*x**2 - 1/3*x**3 + 12. Find the third derivative of p(n) wrt n.
6
Let b(u) = -2*u**2 + 15*u - 14. Let i be b(6). What is the second derivative of 123*t + 12*t**i - 3*t**4 + 75*t + 56*t - 6*t**2 + 2*t**4 wrt t?
132*t**2 - 12
Let w = -108 - -120. Suppose -19 = -z + j + w, 4*j = 0. Find the first derivative of -8*d**3 - 25 - z + 97 wrt d.
-24*d**2
Let c(l) = -l**2 - 5*l + 6. Let p be c(0). Differentiate 19 - 3*j**4 - 14*j**2 + 33 - p with respect to j.
-12*j**3 - 28*j
Find the first derivative of 527 - 3*h + 2*h**3 + 3*h - 655 - 1573*h**2 - 2072 wrt h.
6*h**2 - 3146*h
Let w(g) be the first derivative of 30*g**7/7 - g**4/2 + 1079*g**3/3 - 2550. Find the third derivative of w(u) wrt u.
3600*u**3 - 12
Let h(m) be the second derivative of -101*m**4/2 - 5*m**3 + 7*m**2/2 - 14*m - 36. Find the second derivative of h(k) wrt k.
-1212
What is the third derivative of -220*c**2 - 531*c**2 - 692*c**2 - 10*c**6 - 36*c**4 + 0*c**6 - 5*c**6 wrt c?
-1800*c**3 - 864*c
Let t(z) be the second derivative of -7*z**6/45 - 23*z**4/24 + 14*z**3/3 + z**2 - 27*z - 2. Let d(b) be the second derivative of t(b). Differentiate d(i) wrt i.
-112*i
Let y = 84 + -27. Let l(b) = 51*b - 863. Let i be l(17). What is the third derivative of -15*q**2 + 71*q**4 - 7*q**2 - y*q**i wrt q?
336*q
Find the third derivative of -1578*s**3 + 9*s**2 - 8*s**2 + 491*s - 15*s**2 + 12*s**2 - 312*s**3 wrt s.
-11340
What is the second derivative of 82526*x**4 - 72294*x**4 + 7810*x - 1236*x wrt x?
122784*x**2
Let l(k) = -52 - 6*k**2 + 12*k + k**2 + 3*k - 5*k. Let a(f) = 10*f**2 - 21*f + 105. Let u(i) = 6*a(i) + 13*l(i). Differentiate u(t) with respect to t.
-10*t + 4
Let h(k) = 4*k**2 - 13*k. Let z(g) = -14*g**2 + 143*g - 3514. Let c(a) = -4*h(a) - z(a). What is the first derivative of c(t) wrt t?
-4*t - 91
Suppose -z - 4*v - 9 = 0, -z - 4*z + v + 18 = 0. Find the second derivative of 10 - i**z - 4*i + 1113*i**2 - 544*i**2 - 555*i**2 wrt i.
-6*i + 28
Let t = 44 + -6. Let i = 47 - t. Differentiate 5*b**2 + i*b**2 + 32 + 11*b**2 - 6 with respect to b.
50*b
Let o(z) be the first derivative of -88/3*z**3 + 48 + 77/6*z**6 + 0*z**4 + 0*z**5 + 0*z**2 + 0*z. What is the third derivative of o(h) wrt h?
4620*h**2
Let n(w) be the second derivative of 0 + 0*w**5 - 30*w**2 + 13*w + 0*w**3 - 1/10*w**6 + 0*w**4. What is the first derivative of n(q) wrt q?
-12*q**3
Let q = -8 + 113. What is the first derivative of 147*y**2 + q + 35580*y - 35580*y wrt y?
294*y
Find the second derivative of -2*x**3 - 45816234*x**2 + 1 - 1 + 4791*x + 45814568*x**2 wrt x.
-12*x - 3332
Let y(n) = n**3 + 5*n**2 - 7*n + 51. Let k be y(-7). What is the second derivative of -k*g**2 - 70*g**3 + 17*g**3 - 2 + 28*g**3 + 125*g wrt g?
-150*g - 4
Let u(g) = 524*g**3 - 30*g**2 + 224*g - 3. Let a(q) = -1572*q**3 + 85*q**2 - 671*q + 9. Let k(f) = -6*a(f) - 17*u(f). Find the second derivative of k(z) wrt z.
3144*z
Let g(k) be the second derivative of 30*k + 0 - 35*k**2 + 0*k**3 - 97/12*k**4. Find the first derivative of g(q) wrt q.
-194*q
Differentiate 214 + 7*d + 41*d**3 + 288 + 33 - 27 with respect to d.
123*d**2 + 7
Let o = -96 + 104. What is the second derivative of -o*j + 10*j**2 + 11 - 11 - 6*j wrt j?
20
Let o(h) be the second derivative of 24*h - 1 - 107/2*h**2 - 65/3*h**3. What is the derivative of o(a) wrt a?
-130
What is the second derivative of 82*j**2 - 82*j**2 + 403*j**3 - 198*j + 79*j wrt j?
2418*j
Let y(h) be the third derivative of -h**8/168 + 7*h**6/15 + h**4/12 + h**3/3 + 321*h**2 + h. Find the second derivative of y(w) wrt w.
-40*w**3 + 336*w
Let r = -234 + 235. Find the second derivative of 3*b**2 - 1 + 65*b - 935*b**3 + r + 931*b**3 wrt b.
-24*b + 6
Find the second derivative of -8*k**4 + 240*k - 712*k - 571*k**2 + 505*k**2 wrt k.
-96*k**2 - 132
Suppose 0 = -a - 5*d + 4 + 6, 0 = d + 1. Find the third derivative of 761*f - a*f**2 + 24*f**5 + 764*f - 1525*f wrt f.
1440*f**2
Let c(p) be the third derivative of 0*p + 0 - 6*p**4 - 59/3*p**3 + 33*p**2. What is the derivative of c(v) wrt v?
-144
Let a(g) = -g**3 + 3447*g**2 - 13*g - 171. Let o(h) = 3*h**3 - 10343*h**2 + 42*h + 511. Let c(w) = 11*a(w) + 4*o(w). Find the second derivative of c(n) wrt n.
6*n - 6910
Find the second derivative of 103 + 192*j**2 - 10*j + 19*j**2 + 13778*j**3 + 6*j**5 - 13778*j**3 wrt j.
120*j**3 + 422
Let x(p) = -p**4 + p**2 + 1. Let g(s) = -6*s**4 - 263*s**2 - 5611. Let j(r) = -g(r) + 2*x(r). Find the first derivative of j(k) wrt k.
16*k**3 + 530*k
Let g = -144 - -146. What is the second derivative of -41*r + 56*r**g - 3 + 68*r + 6 - 1 wrt r?
112
Suppose -u = 4*b - 3*b + 3, -2*u = -5*b - 50. Let w be b/(-1) + -7 + 3. Find the second derivative of -5*q**5 - 8*q - 14*q**w + 14*q**4 wrt q.
-100*q**3
Find the second derivative of -44 + 150*y + 630*y**2 - 992*y**2 + 1516*y**2 + 1244*y**2 - 179*y wrt y.
4796
L | {
"pile_set_name": "DM Mathematics"
} |
?
6
Suppose 2*x = -5*i + 246, x = -3*i + 58 + 64. What is the tens digit of (-359)/(-8) - -1 - (-16)/x?
4
Suppose -2*x + 1186 = -1896. What is the tens digit of x?
4
Let w be 2*(-2)/(4/(-3)). Suppose 5*a - w*a = 174. What is the tens digit of a?
8
Suppose 2*c = -2*c - 3*b + 496, 472 = 4*c - 3*b. Let h = c - -7. What is the tens digit of h?
2
Let j(u) = 9*u**2 - 13*u - 8. What is the hundreds digit of j(-10)?
0
Let q = -72 + 39. Let n = q - -35. Suppose -3*z - 3*b + 56 = -n*z, -100 = -2*z - 3*b. What is the units digit of z?
4
Suppose -w = -m - 1311, -3*w - 5*m + 567 + 3398 = 0. What is the hundreds digit of w?
3
Suppose -4431 = -63*w + 1113. What is the units digit of w?
8
Suppose -2*h + 3*y = -697, -3*h + 2*y - 1354 = -7*h. What is the units digit of h?
1
Let y(r) = 7*r + 17. Let n = 75 + -41. Suppose -3*m = -5*u + 46, -4*m - n = -4*u - 3*m. What is the units digit of y(u)?
3
Let o(k) = 2*k**2 + 9*k - 5. What is the units digit of o(12)?
1
Suppose -938 = -9*g + 3778. What is the tens digit of g?
2
Suppose -7*a = -766 - 627. Suppose -d - a = 5*w - 7*w, 4*d = 2*w - 184. What is the units digit of w?
2
Let j = 48 - -311. What is the tens digit of j?
5
Let r = 398 + 220. What is the tens digit of r?
1
Let i(g) = 1570*g - 1. What is the units digit of i(1)?
9
Suppose 26*x - 20*x - 594 = 0. Suppose x = 2*n - 15. What is the tens digit of n?
5
Let o(a) = 5*a - 9. Let p be o(3). Suppose -347 + 1583 = p*i. What is the tens digit of i?
0
Let p(k) = -3*k**2 - 8*k + 8. Let m(n) = -n**2 + n + 1. Let i(u) = -4*m(u) + p(u). Let o be i(12). Suppose 0 = t - o - 22. What is the tens digit of t?
2
Suppose -44 = -s + c, -c + 47 = -5*s + 271. Suppose 0 = 4*h - 8*h + 20. Suppose 10*x = h*x + s. What is the units digit of x?
9
Suppose -4*t = -3*q - t - 6, -t = 3*q - 2. Suppose -a + w = 2*a - 11, q = -2*a + 3*w + 12. Let b(z) = 2*z**2 + z + 7. What is the units digit of b(a)?
8
Let u = 43 + -40. Suppose -132 = -u*n + 3*h, -n + 85 = n - 3*h. What is the units digit of n?
7
Suppose -8*s + 8240 = 2*a - 11*s, -3*a + 4*s + 12358 = 0. What is the thousands digit of a?
4
Let q = 23 + -26. What is the units digit of ((-84)/(-7))/(q/(-4))?
6
Suppose 6*d - 172 = -148. Let n = 294 - d. What is the units digit of n?
0
Suppose 0 = -x - 152 + 624. What is the units digit of x?
2
Suppose 2*n + 4*a - 2*a = -6, -5*a = -25. Let o(h) = 7*h**2 + 17*h + 9. Let b(x) = -x**2 - x + 1. Let w(z) = 5*b(z) + o(z). What is the tens digit of w(n)?
4
Suppose -d = 2*d + a - 14, 4*d - 5*a = -13. Suppose 5*j = d*j + 134. What is the tens digit of j?
6
Suppose 602*u = 587*u + 39975. What is the thousands digit of u?
2
Suppose 28*f - 86*f = -26274. What is the units digit of f?
3
Let j = -11 - -14. Let b be (-4)/(-3)*j - 2. Suppose b*n - 70 = -0*n. What is the units digit of n?
5
Suppose -3*q = -95 - 106. Let w = -333 + 395. Suppose -3*l + q + w = 0. What is the units digit of l?
3
Let b be (-2)/(-1) - 2/(-2). Let v be 1 + b/(9/6). Suppose 5*a = -v*s + 102, -s + 86 = 5*a - 2*s. What is the units digit of a?
8
Let k = -2267 - -5090. What is the units digit of k?
3
Let x be ((-4)/16)/(6/(-72)). Suppose -x*y + 466 = -161. What is the units digit of y?
9
Let p(x) = 4*x - 3. Let d be p(2). Suppose 90 = d*c - 280. What is the units digit of c?
4
Let n(w) = -3*w**2 - 5*w - 3. Let j be n(-2). What is the hundreds digit of (j + 3)*(-258)/4?
1
Let h(n) be the third derivative of -11*n**4/24 - 5*n**3 - 8*n**2. What is the tens digit of h(-9)?
6
Let z be ((-114)/(-5))/((-22)/(-55)). Let c = 15 + z. What is the units digit of c?
2
Let x(f) = 33*f**2 - 2*f - 10. Let k be x(-3). Suppose -149 = -2*z + k. What is the units digit of z?
1
Let j be (-2 - (-2 + 4)) + -7. Let u(i) = -i**2 - 14*i - 19. What is the units digit of u(j)?
4
Let c(w) = -w - 8. Let m be c(-10). Suppose 2*k + 2 = 2*g + 3*g, -16 = -m*k - 4*g. Suppose 118 = 4*d + 3*y, 3*d - d = -k*y + 64. What is the units digit of d?
8
Suppose 6*l + 47 = 173. What is the tens digit of l?
2
Suppose 32 = -5*g + 217. Suppose g = 2*i - 21. What is the units digit of i?
9
Let b(k) = 2*k + 2060*k**2 - 2059*k**2 + 11 + 84. What is the units digit of b(0)?
5
What is the tens digit of (30213/3)/9 - 6*1?
1
Suppose 216*h = 223*h - 9100. What is the tens digit of h?
0
What is the units digit of 24/(-14)*(718/(-4) + 1)?
6
What is the tens digit of (3/6 - 0)/(1/542)?
7
Suppose 23 = -2*z + 15. Let p be 9/(-24)*2*z. Suppose p*v = 2*h - 45, 23 = -5*h + 3*v + 131. What is the tens digit of h?
2
Let x(n) = 76*n**2 - 17*n - 6. What is the tens digit of x(2)?
6
Suppose 3*w = -3*p - 226 + 4903, 5*p - w = 7795. What is the hundreds digit of p?
5
Let o = 402 - 261. What is the hundreds digit of o?
1
Suppose 27*u = 266 + 733. What is the tens digit of u?
3
Let g = 0 + -3. Let d be ((-1)/g)/((-5)/30). What is the units digit of d/(-13) - 252/(-52)?
5
Let r = 174 - 118. Suppose 0*u + 3*u + r = w, -5*w = 3*u - 316. What is the tens digit of w?
6
Suppose -17*c + 7*c + 3350 = 0. What is the hundreds digit of c?
3
Suppose 7*l - 5*l = 3*i + 517, 3*l + 2*i - 782 = 0. What is the hundreds digit of l?
2
Let x(b) = -52*b + 47. What is the units digit of x(-7)?
1
Suppose -n = 4*n + 5. Let k be (1 - 2)*(n + -2). Suppose h + h = -k*z + 32, -2*h = 4. What is the units digit of z?
2
Let q(d) = d**3 + 16*d**2 - 11*d + 26. What is the hundreds digit of q(-8)?
6
Let v(u) = 11*u**3 + u**2 - u + 1. Let l = -8 + 13. Suppose 2*s - 9 = k, -l*k + 2*s - 15 = -2*s. What is the units digit of v(k)?
2
Let l = -917 + 1850. What is the tens digit of l?
3
Let j = 11 + -8. Suppose 2*v = 4*v - 8, -4*v + 70 = -j*s. Let b = -7 - s. What is the tens digit of b?
1
Let x(m) = -m**3 + 16*m**2 - 15*m + 15. Let b be x(15). Suppose -3*w + 116 = 4*o - 52, 0 = 5*o + b. What is the units digit of w?
0
Let p = 78 - 141. Let d = -19 - p. What is the units digit of d?
4
Let b(l) = -l + 2. Let i = 14 - 12. Let a be b(i). Suppose a = -5*z + 14 + 46. What is the units digit of z?
2
Suppose 13*f = -12*f + 11975. What is the hundreds digit of f?
4
What is the thousands digit of 2/(-6) - (0 - (-18906)/(-18))?
1
Let i be (-2 - -9) + 5 + -2. Let s(u) = -u**3 + 10*u**2. Let k be s(i). Suppose -4*h + 44 = -k*h. What is the tens digit of h?
1
Suppose -i + 5*i - 28 = 0. Suppose 2*v - i*v = 105. What is the units digit of (v/9)/(1/(-9))?
1
Let p = 198 - 240. Let o(c) = 3*c - 6. Let s be o(5). What is the units digit of (-2 - 1)/(s/p)?
4
Let m be (-15)/(-4) - 1/(-4). Suppose 44 = m*h - 144. Suppose -4*o + 29 + h = 0. What is the units digit of o?
9
Suppose 0 = -5*v - 5*d + 472 + 1373, 0 = -4*v + d + 1456. What is the units digit of v?
5
Let h(p) = -3*p - 3*p**3 + 3*p**3 + 0 + p**3 + 1. Let k be h(2). What is the units digit of k*(3 + (0 - 2))?
3
Suppose 0 = -10*l - 2265 + 5325. What is the tens digit of l?
0
Let x(i) be the third derivative of i**4/24 + 5*i**3/3 - 13*i**2. Let q be x(-5). Suppose g - 4*g + 58 = 4*d, 0 = -3*g + q*d + 76. What is the units digit of g?
2
Let u(f) = f**3 - 26*f**2 + 24*f + 23. What is the hundreds digit of u(26)?
6
Let k be ((-4)/(-5) + -2)/((-6)/20). Suppose 0 = 2*m + 3*m + k*h - 474, -m + 86 = 3*h. What is the tens digit of m?
9
Let b(a) = -3*a - 7. Let t be b(-4). Suppose 246 = 2*n - 2*u, 3*n - u - 355 = -t*u. What is the tens digit of n?
2
Suppose -4*y - 5*d + 1432 = -d, 3*d - 364 = -y. What is the tens digit of y?
5
Let h be -4 + -5*(-12)/10. Suppose h*v - 4*m = -26 + 76, -2*v + 71 = 3*m. What is the units digit of v?
1
Let o = -63 + 58. What is the tens digit of -1 - (-1044)/(-1 - o)?
6
Suppose 3*f - u + 249 = 0, -5*f - u - 181 - 242 = 0. Let q = 48 + f. What is the units digit of (-441)/q + 6/8?
3
Let o(n) = -n**3 - 10*n**2 - 4*n + 2. Let b be o(-9). Let c be 4/(-5)*(-135)/(-9). Let x = c - b. What is the tens digit of x?
3
Let w = -15 - 0. What is the units digit of 8/(-20) + (-1671)/w + -3?
8
Let v(d) = d - 7. Let x(r) = -r**2 + r + 1. Let m(k) = v(k) - x(k). What is the hundreds digit of m(14)?
1
Let k(v) = 2*v**2 + 3*v - 1. Suppose 162 = -6*m + 36. Let u = m - -17. What is the tens digit of k(u)?
1
Let v(x) = 3*x**2 - 6*x + 16. Let t be v(5). Suppose t = 3*j - 182. What is the tens digit of j?
8
Let u = 0 + 10. Suppose -9*r - 141 = -u*r. What is the tens digit of r?
4
Suppose 0 = 6*v - 2*v - 8. Suppose -6 | {
"pile_set_name": "DM Mathematics"
} |
-2099, -2388, -2429, -2222?
-1767
What is next in 43224, 43142, 43008, 42828, 42608?
42354
What comes next: 11, -30, -91, -172?
-273
What comes next: 3778, 30067, 101368, 240187, 469030, 810403?
1286812
What is the next term in 23899, 48048, 72361, 96838, 121479, 146284?
171253
What is next in 38653163, 77306327, 115959491, 154612655, 193265819?
231918983
What comes next: -508939, -1017933, -1526927, -2035921?
-2544915
What is the next term in -2800, 5809, 29176, 74681, 149704, 261625, 417824, 625681?
892576
What is next in 28127, 28448, 28767, 29084, 29399, 29712, 30023?
30332
What is next in 17272, 33349, 47016, 57067, 62296, 61497?
53464
What is next in -419576, -419594, -419602, -419600, -419588?
-419566
What comes next: -716233, -1432383, -2148447, -2864425?
-3580317
What is next in 2293, 3462, 4631, 5800, 6969?
8138
What is the next term in -221653, -221644, -221635, -221626, -221617?
-221608
What comes next: 483197, 3865685, 13046727, 30925601, 60401585, 104373957, 165741995?
247404977
What comes next: -8475723, -8475738, -8475755, -8475774, -8475795, -8475818?
-8475843
What is the next term in -127836, -511359, -1150568, -2045463?
-3196044
What comes next: -4464, -4374, -4328, -4332, -4392, -4514, -4704?
-4968
What comes next: -450, -1124, -2016, -3114, -4406, -5880?
-7524
What is next in -218517, -218509, -218499, -218487?
-218473
What is the next term in 58844, 58901, 58956, 59009?
59060
What is next in 21495, 43667, 65839, 88011, 110183?
132355
What comes next: -1390, -5505, -12328, -21829, -33978, -48745, -66100, -86013?
-108454
What comes next: -22477, -19614, -16751?
-13888
What is the next term in -73046, -73061, -73086, -73121?
-73166
What is next in -25847871, -51695742, -77543613?
-103391484
What comes next: 13399, 13922, 14465, 15034, 15635, 16274, 16957?
17690
What is the next term in 6362, 12428, 18506, 24596, 30698, 36812, 42938?
49076
What is the next term in -12992, -12837, -12600, -12281, -11880?
-11397
What is the next term in 1010, 1939, 2862, 3791, 4738, 5715?
6734
What comes next: -838238477, -1676476953, -2514715429, -3352953905, -4191192381, -5029430857?
-5867669333
What is next in -2937, -5439, -7623, -9489?
-11037
What is next in 4681533, 18726137, 42133807, 74904543, 117038345, 168535213, 229395147?
299618147
What is the next term in -94603967, -94603958, -94603945, -94603928, -94603907, -94603882, -94603853?
-94603820
What comes next: 74788, 146812, 218824, 290818, 362788, 434728, 506632?
578494
What is the next term in 17144, 17151, 17148, 17129, 17088?
17019
What is the next term in -740728524, -740728525, -740728526?
-740728527
What comes next: 2731, -2581, -11435, -23831, -39769, -59249?
-82271
What is next in 591, 1125, 2605, 5505, 10299, 17461, 27465?
40785
What comes next: 45378, 90852, 136314, 181758, 227178, 272568, 317922?
363234
What comes next: -2540, -22387, -76266, -181193, -354184, -612255?
-972422
What comes next: 1560420, 6241653, 14043690, 24966525, 39010152, 56174565?
76459758
What is next in 56113, 83930, 111747, 139564?
167381
What comes next: 8494, 16911, 25176, 33211, 40938, 48279?
55156
What is next in -2266888, -2266864, -2266832, -2266798, -2266768?
-2266748
What comes next: -8880, -17744, -26614, -35490, -44372, -53260, -62154?
-71054
What is next in 38496, 38002, 37178, 36024?
34540
What is the next term in 840901, 1681052, 2521201, 3361348, 4201493, 5041636?
5881777
What is the next term in 23409330, 93637327, 210683990, 374549319?
585233314
What is the next term in -4443124, -8886089, -13329054?
-17772019
What comes next: 842033, 841804, 841575, 841346, 841117?
840888
What comes next: -1802, -1792, -1748, -1682, -1606, -1532?
-1472
What comes next: -18099789, -36199578, -54299367, -72399156?
-90498945
What is next in 860, 2906, 6184, 10688, 16412?
23350
What is next in -184396, -184402, -184374, -184294, -184144, -183906, -183562?
-183094
What is next in 22484648, 44969295, 67453942, 89938589, 112423236, 134907883?
157392530
What is next in 45916, 44623, 42480, 39493, 35668, 31011?
25528
What is next in 9634158, 19268313, 28902468, 38536623, 48170778?
57804933
What is the next term in 333200, 333120, 333040, 332966, 332904, 332860?
332840
What is next in -278, -8149, -29510, -71105, -139678, -241973, -384734?
-574705
What is the next term in 30080, 58985, 87890?
116795
What comes next: 4194693, 4194692, 4194691, 4194690, 4194689?
4194688
What is the next term in 31058, 123107, 276144, 490169?
765182
What comes next: -1197, -2261, -3135, -3741, -4001, -3837, -3171, -1925?
-21
What is next in 29489, 29338, 29099, 28784, 28405, 27974, 27503, 27004?
26489
What comes next: -30521160, -30521159, -30521158, -30521157?
-30521156
What comes next: -1433, -5557, -12427, -22043, -34405?
-49513
What comes next: 344, 2327, 5636, 10283, 16280?
23639
What comes next: -2234, -4798, -7586, -10598, -13834?
-17294
What is the next term in -15830, -63136, -141960, -252284, -394090, -567360?
-772076
What is the next term in -94760, -95112, -95464?
-95816
What comes next: 54271, 54100, 53903, 53668, 53383, 53036?
52615
What comes next: -251119, -1004507, -2260153, -4018057, -6278219, -9040639, -12305317?
-16072253
What is next in 5787, 14868, 23949, 33030, 42111, 51192?
60273
What is next in -63306982, -126613962, -189920942?
-253227922
What comes next: -773, -852, 285, 3166, 8319, 16272, 27553?
42690
What is next in -75, -196, -297, -366, -391, -360, -261?
-82
What is next in 1374100, 2748054, 4122008, 5495962, 6869916, 8243870?
9617824
What is next in 200646, 401283, 601900, 802491, 1003050, 1203571, 1404048, 1604475?
1804846
What is the next term in -149556, -165729, -181904, -198081, -214260?
-230441
What is the next term in 344, 1747, 3808, 6527?
9904
What is next in 736742, 1473078, 2209416, 2945756, 3682098, 4418442, 5154788?
5891136
What comes next: -7139, -37918, -89217, -161036?
-253375
What is next in 15472, 15450, 15428, 15406?
15384
What comes next: -422962, -845921, -1268880, -1691839, -2114798, -2537757?
-2960716
What comes next: -3205, -6807, -11197, -16771, -23925?
-33055
What is the next term in 45776, 45676, 45578, 45482, 45388, 45296?
45206
What is the next term in 23296, 92967, 209036, 371503, 580368, 835631, 1137292?
1485351
What is next in 475436, 1901426, 4278082, 7605410, 11883416?
17112106
What is the next term in -25054534, -25054533, -25054532, -25054531, -25054530, -25054529?
-25054528
What comes next: 1300, 4938, 10922, 19246, 29904, 42890, 58198?
75822
What is the next term in 5826935, 5826940, 5826947, 5826956, 5826967, 5826980?
5826995
What is next in 5094, 8880, 12666, 16452?
20238
What is next in -69296, -69650, -70004, -70358, -70712, -71066?
-71420
What is next in 39746, 39592, 39436, 39278?
39118
What is next in 1123, 4125, 8977, 15679?
24231
What is the next term in -120, -332, -722, -1368, -2348, -3740?
-5622
What is the next term in 31, 124, 227, 298, 295, 176, -101, -578?
-1297
What is next in 56076224, 56076225, 56076226?
56076227
What comes next: 28486, 54712, 80938, 107164, 133390?
159616
What is next in 2581, 5246, 7987, 10798, 13673, 16606, 19591, 22622?
25693
What is the next term in 21069113, 42138233, 63207357, 84276485?
105345617
What comes next: -73437390, -146874779, -220312168?
-293749557
What comes next: 157574, 315010, 472444, 629876, 787306, 944734, 1102160?
1259584
What is the next term in 777, 3905, 11759, 26691, 51053, 87197, 137475?
204239
What is next in -950, -4555, -13518, -30521, -58246, -99375, -156590?
-232573
What is next in -6524736, -6524761, -6524834, -6524979, -6525220, -6525581, -6526086, -6526759?
-6527624
What comes next: 101293, 405153, 911585, 1620589, 2532165?
3646313
What comes next: -129781, -129694, -129607, -129520?
-129433
What comes next: 348628, 1397624, 3145956, 5593630, 8740652?
12587028
What is next in 481365, 481621, 481877?
482133
What comes next: -1213964, -9711761, -32777216, -77694161, -151746428, -262217849?
-416392256
What is next in 175066, 350328, 525590?
700852
What is the next term in -181982, -363866, -545750, -727634, -909518, -1091402?
-1273286
What is the next term in 2814, 12938, 29812, 53436, 83810, 120934, 164808?
215432
What is the next term in -4121398369, -4121398373, -4121398379, -41213983 | {
"pile_set_name": "DM Mathematics"
} |
z/(-12)). Let u be (1 - 2) + c/(-7). Put u, 0.1, 3 in increasing order.
u, 0.1, 3
Let h = -0.4 - -0.9. Let u = 233/5 + -47. Sort 2/19, h, u in descending order.
h, 2/19, u
Let j = -9 + 13. Put 0, j, 1 in ascending order.
0, 1, j
Let b = -11 + 13. Put -0.5, b, 0.4 in descending order.
b, 0.4, -0.5
Let d = 5 - 5.08. Let y = 1.92 - d. Let a = y - 2.4. Sort -5, 3, a.
-5, a, 3
Let d = -1.5 - -2.4. Let l = 0.7 - d. Put 3, -5, l in descending order.
3, l, -5
Suppose -18*z + 65 = -23*z. Sort 0.3, z, -4 in increasing order.
z, -4, 0.3
Let z = 13 - 15. Sort 1, 4, 5, z in descending order.
5, 4, 1, z
Let t be (-29)/14 - (5 + -3). Let w = 9/2 + t. Sort 5, 0.4, w in ascending order.
0.4, w, 5
Let c(g) = -g**3 + 3*g**2 + 2*g - 1. Let f = 4 + -1. Let h be c(f). Let r be (3/(-1))/(-3) + 2. Sort -5, r, h in ascending order.
-5, r, h
Let f = 187 + -192. Let q = 3 + -4. Sort f, -2, q in decreasing order.
q, -2, f
Suppose m - z + 8 = 2, -5*m = 5*z - 10. Let o(h) = 3*h - 40. Let q be o(16). Put m, q, 5 in descending order.
q, 5, m
Suppose 0*c = -4*c + 12. Suppose -16*v + 18*v + 10 = 0. Put -1, v, c in descending order.
c, -1, v
Let x = -23 + 18. Sort x, 0, -7, 4 in ascending order.
-7, x, 0, 4
Let h = -0.6 + 2.6. Put h, 3, -2/19, -4 in decreasing order.
3, h, -2/19, -4
Suppose 2*g - 13 = i, 0 = -2*i - g + 1 - 7. Sort 0.5, i, 5, 2.
i, 0.5, 2, 5
Let f be (87/(-58))/((-21)/(-8)). Put -2, f, 1/4 in decreasing order.
1/4, f, -2
Suppose -4*r + 7 = -3*u, -5*u - 3*r + 21 = -2*u. Sort 1, 11, u in ascending order.
1, u, 11
Let h be (-1)/(-4) - 145/20. Let o be (h/(-5))/(-1) + 1. Let n = -7 - -3. Put 1, o, n in increasing order.
n, o, 1
Let m be (3/(-54))/(534/(-1704)). Let n = m - -4/89. Sort -4, -2/9, n in increasing order.
-4, -2/9, n
Let r(j) = j**2 - j + 1. Let u be r(1). Suppose -4*z + 0*d = 4*d, -d + 16 = -3*z. Let q(l) = -5*l + 19. Let n be q(3). Sort u, n, z in descending order.
n, u, z
Let x be (-1)/21*-15 - 1. Let g(s) = -s + 1. Let v be g(1). Sort v, -1/6, x in decreasing order.
v, -1/6, x
Let s = 0 - 0.2. Let z = -8 + 9. Let w = -2.3 + 0.3. Sort s, z, w.
w, s, z
Let c be (-1 - 4/(-2))*0. Let o = -12 + 13. Let s be ((-1 - o) + 1)*5. Put c, 5, s in descending order.
5, c, s
Let v(j) = j + 1. Let g be v(3). Suppose 3*l + 4*d = -0*d + 19, 3*d - 28 = -5*l. Suppose 3*p = q + l, 0 = -4*q + 2*p - 36 + 16. Put -3, g, q in ascending order.
q, -3, g
Let n = -2 + -1. Let v = 7 - 12. Let a be 1 + (0 - 1) - 1/2. Sort a, v, n.
v, n, a
Let a = -4.9 - -5.2. Sort a, 5, -2/5, -2 in decreasing order.
5, a, -2/5, -2
Let r be 0 - (0 - 6) - 2. Suppose 0 = -0*q + 2*q + r. Suppose -2*j - 3*p + 5 = -4*j, -2*p + 2 = 0. Sort q, -3, j in ascending order.
-3, q, j
Let l = 9 - 3. Let z = 87 + -88. Let o be (l/z)/((-9)/(-2)). Sort -2, 0.2, o.
-2, o, 0.2
Let w be (-6)/(-8)*(-16)/(-18). Let u = -0.014 + 5.314. Let g = u - 5. Sort g, w, -5.
-5, g, w
Let c be 4 - (2 - (-1 + 2)). Let b be 4/2 - c/1. Let m(a) = 4*a. Let r be m(0). Sort r, b, 1 in decreasing order.
1, r, b
Let m = 16 + -15.1. Let i = m - 1.3. Let w = -236/5 - -47. Put w, 0.2, i in increasing order.
i, w, 0.2
Let z be -3 - -7 - (-2 + 5). Sort z, -5, -2 in decreasing order.
z, -2, -5
Suppose -8*p - 41 = -2*f - 3*p, -3*p - 48 = -3*f. Suppose 0 = 3*h - f + 4. Suppose i + 3*b - 8 = 0, -i - 3*b + b = -6. Put -2, i, h in decreasing order.
h, i, -2
Let c(y) = -y**2 - 4*y - 1. Let u be c(-4). Let x(z) = -z**2 - 8*z - 7. Let g be x(-7). Let m be g/((2*u)/2). Sort 0.2, -3/5, m.
-3/5, m, 0.2
Let m(c) = -2*c**3 + 5*c**2 + c + 5. Let v(d) = 5*d**3 - 10*d**2 - 2*d - 11. Let z(w) = -7*m(w) - 3*v(w). Let g be z(-5). Put 1, -4, g in decreasing order.
g, 1, -4
Suppose -5*h = 5*q - 35, -4*q = h - 4*h + 7. Let z(p) = -5*p**3 - 2*p**2 - 2*p - 1. Let u be z(-1). Suppose -u*i = -5 + 25. Sort h, i, 3 in decreasing order.
h, 3, i
Let r be 2/(-20)*(-30)/4. Put 0, r, 21, 3/2 in descending order.
21, 3/2, r, 0
Let m be 4/56 - 3/(-6). Sort 3, m, 12 in increasing order.
m, 3, 12
Let u(p) = 2*p - 1. Let x be u(0). Sort x, 4, -5 in increasing order.
-5, x, 4
Let z(w) = 2*w**2 - w - 1. Let s be z(-2). Suppose 0 = 5*f - 4 + s. Put 0, f, 5 in descending order.
5, 0, f
Suppose 46 = -3*q + 8*q + v, -3*q - v = -26. Suppose -l = l + q. Let b be (0 - -1) + 6/3. Sort l, b, -1 in descending order.
b, -1, l
Suppose -3*v - 4*w = 1 - 9, 2*w = -2. Let a be (v + 0 + 0)/(-7). Let t = -3 - -7. Sort 5, t, a in increasing order.
a, t, 5
Let o be (17/(-3))/(3/(-9)). Let b = 15 - o. Sort 1, -4, b in descending order.
1, b, -4
Let q = 0.5 - 0.1. Let y(w) be the third derivative of -w**4/24 + w**3/3 + 3*w**2. Let v be y(6). Sort q, v, 0 in decreasing order.
q, 0, v
Suppose 12 = 21*c - 17*c. Let w(h) = h**3 + 5*h**2 + 4*h. Let q be w(-3). Sort q, c, -1 in descending order.
q, c, -1
Let v be ((-2)/(-3))/((-4)/18). Put v, -1, -2 in descending order.
-1, -2, v
Let i(q) = 2*q - 9. Suppose -f - f + 12 = 0. Let u be i(f). Put -4, u, 4 in ascending order.
-4, u, 4
Let y = -3 - -2. Let d = -7 + 10. Put 2/7, y, d in ascending order.
y, 2/7, d
Let g(a) = -a**3 + 4*a**2 - 3*a + 1. Let q be g(2). Let z be 1*(3 + -4) - -7. Suppose 2*s + 0*s + z = 0. Put s, 0, q in descending order.
q, 0, s
Suppose 5*k - 2 = 8. Sort k, 4, 5 in increasing order.
k, 4, 5
Let k(f) = -f + 8. Let o be k(7). Let m be (1 - (-5 + o))/(-1). Put m, -0.1, 4 in increasing order.
m, -0.1, 4
Suppose -4 = 4*a + 8. Let o = 69 + -65. Put a, o, -1 in ascending order.
a, -1, o
Suppose 0 = 2*m - 4*m - 2*h + 6, 0 = 2*m - 2*h + 10. Let p = 19 - 18.6. Let n be (-6)/(-8)*(-2)/(-6). Sort p, m, n.
m, n, p
Let y(j) = -4*j + 1. Let b be y(1). Suppose -f - 32*f = -33. Sort 5, f, b.
b, f, 5
Let s be (-4)/(-8) + 3/(-2). Put 0, 3, s in decreasing order.
3, 0, s
Let u = -4 - -6. Let p(n) be the second derivative of -n**5/10 + n**4/3 - n**3/2 + n**2 + n. Let g be p(u). Sort -2, g, -5.
-5, g, -2
Let p be (-2)/39*(0 + -3). Let z be (-1679)/2398 - 4/(-22). Let v = -2/109 - z. Sort p, v, 3 in descending order.
3, v, p
Let o = -0.18 + -1.12. Let j = o + 0.8. Let l = -19 + 97/5. Put l, j, -0.1 in increasing order.
j, -0.1, l
Suppose -2*r = -4*p + 9 + 7, -19 = -3*p - 2*r. Sort -0.3, -4, p in ascending order.
-4, -0.3, p
Suppose 5*d - 80 = -3*o, d - o = 4*o - 12. Let q be (-2)/(-1)*1/d. Put q, 3, 1 in decreasing order.
3, 1, q
Let c = -95 + 95.06. Sort -1/5, c, -5, 4.
-5, -1/5, c, 4
Let z = -0.76 + 1.36. Sort -2/3, 0.1, z, -5 in descending order.
z, 0.1, -2/3, -5
Let b be (-4)/((-8)/(-10)) + 1. Sort 3, b, -2 in decreasing order.
3, -2, b
Let h = -0.05 - 9.95. Put 2/11, h, -0.5 in decreasing order.
2/11, -0.5, h
Let t = 17 - 22. Put t, 4, -2 in decreasing order.
4, -2, t
Let l(g) = -3*g + 13. Let p be l(5). Put -22, -5, -3, p in ascending order.
-22, -5, -3, p
Let k = -0.1 - 3.9. Suppose 12*h = -2*i + 11*h - 11, -5*h = -2*i - 5. Sort -2, k, i in ascending order.
i, k, -2
Suppose -2*p - 2 = -0*p - 2*h, -p = 3*h - 7. Sort 5, p, 3.
p, 3, 5
Let n = -31/42 - -1/14. Sort n, 1/2, 0.
n, 0, 1/2
Let t = -57/14 + 7/2. Put t, 1, -0.4 in decreasing order.
1, -0.4, t
Suppose 12 = 7*h - h. Let t = 2 - 5. Put 0, h, t in decreasing order.
h, 0, t
Let l be (8 + (-105)/10)*(-6)/(-5). Sort l, -2, 0, 7 in descending order.
7, 0, -2, l
Let g(m) = -m**3 - 6*m**2 - 7*m - 9. Let b be g(-5). Put -4, -3, 3, b in increasing order.
-4, -3, b, 3
Let c(d) = -3*d - 3. Let s be c(-3). Suppose u = s*u + 2*o - 7, -3*u = 4*o - 7. Sort u, 5, 0 in decreasing order.
5, u, 0
Suppose 0 = 5*c + 20, 3*c + 32 = m + 4*m. Sort -0.4, -1, m in ascending order.
-1, -0.4, m
Let c = -18 - -15. Let b = c - -7. Put b, -2, -6 in increasing order.
-6, -2, b
Suppose 0*b - 2*b + 24 = -4*v, 3*v + 19 = 2*b. Let a(x) = x**3 - 2*x**2 - x + 2. Let m be a(2). Sort v, -6, m in increasing order.
-6, v, m
Suppose 7*y - 15 = 2*y - 2*b, -3*y = -2*b - 25. Suppose 0 = -l + 2*w - 2 + 14, -4*l = -2*w - 18. Sort y, 3, l.
l, 3, y
Let g be -17*2/28 + 2/(-7). Sort 1/3, 3/7, -1, g in decreasing order.
3/7, 1/3, -1, g
Let r = -603/5 - -120. Let b = -11/35 - r. Put -3, 5, b in decreasing order.
5, b, -3
Let u = -9 - -7. Let w = 7 + u. Suppose 0 = 4*c - 5*l - 33 - 8, 2*c + 3*l + 7 = 0. Sort c, w, -2 in decreasing order.
w, c, -2
Let p = 32 + -23.3. Let m = 9 - p. Sort -1, -5/2, m in descending order.
m, -1, -5/2
Let b = -29 + 41.5. Let | {
"pile_set_name": "DM Mathematics"
} |
- (9 + 10 - 18).
-3
-9 + -22 + (-7 - -31)
-7
What is -30 - -3 - (1 + 2 + 13 - 11)?
-32
What is (-37 - -14 - -16) + -33 + 13?
-27
(-26 - (-4 + -14)) + 6
-2
Calculate (0 - (8 + -25) - 9) + (-1 - -4).
11
(2 - -1) + 112 + -106
9
28 + -54 - (-68 - -11)
31
What is 20 - (9 - 10 - -13)?
8
What is the value of -3 + (-3 - -2) + -63 + 49?
-18
Evaluate 0 - (-6 + -1) - ((10 - -24) + -27).
0
What is (2 + -25 - (-95 + 79)) + -3 + -2?
-12
What is 12 - (-27 - (-39 + 23))?
23
Evaluate (0 - -22) + 6 + (21 - 28).
21
What is the value of 4 - ((3 + -8 - 2) + (21 - 21))?
11
What is the value of (-15 - (0 + 3)) + 15 + (-16 - -11)?
-8
Calculate 47 + -88 - (-5 - (12 - -2)).
-22
Evaluate -1 + 6 - (8 + 3 + -3).
-3
-4 - ((11 - 23) + 11)
-3
Calculate 6 + -1 + (-30 + -3 + -14 - -19).
-23
What is the value of 10 - 22 - -8 - (-1 + 0 - -2)?
-5
Evaluate 11 - -6 - (-1 - -14).
4
What is the value of (4 - -2 - 3) + 13 + 2?
18
What is 11 - (15 + -27 + 16)?
7
What is the value of 35 + (33 - 2 - 35)?
31
Calculate 10 + -10 + -16 + 3.
-13
What is the value of -3 + -1 + 0 + -1 + -143 + 141?
-7
Evaluate (-6 + 8 - -13) + -9.
6
What is the value of (-58 - -71) + (2 - (8 + 0))?
7
20 - (-34 - (15 + -43))
26
6 + (15 - (-1 + 1) - (-7 - -11))
17
What is 3 + 12 - (18 + 4)?
-7
What is -161 - -173 - (1 - (3 - -11) - -4)?
21
What is the value of -10 - (24 - 22) - (9 + -1)?
-20
What is the value of -2 + 4 + (-1 - -6 - 6) + 2?
3
What is -7 - 0 - (30 + (-22 - -34) + -38)?
-11
What is 10 - 0 - ((-7 - -16) + -8 - 1)?
10
-14 + -1 + 2 + 1 + -3 + 4
-11
-49 + 50 - (25 - 8)
-16
5 - (3 + (11 - (1 + 9)))
1
-1 - -4 - (1 + (7 - 27) - -6)
16
Calculate -98 + 117 - (20 + 2).
-3
What is 1 - -43 - (62 - (65 - 19))?
28
22 + 1 - (-9 - (-1 + -16 + 14))
29
(-16 - (-25 + 4)) + -20
-15
Evaluate 54 + -49 + -28 + (2 - 1).
-22
Evaluate (5 - (2 - 4)) + (-7 - (4 + 5)).
-9
What is the value of 2 - -3 - (-7 - (-2 + -4 + 10))?
16
Calculate 15 + -6 + -1 + -1 + 11.
18
-17 + 39 + -39 + 3 + 0
-14
What is (27 - 3) + -13 + (-10 - -11)?
12
Evaluate 252 - 247 - (12 + 4 + 2).
-13
Evaluate 19 + 30 + -46 + -19.
-16
Calculate 0 + 19 + -9 + (17 - 5 - 8).
14
Evaluate (13 - -6 - 2) + (-11 - -1).
7
1 - 7 - (7 + -7 - -3) - -5
-4
Evaluate -23 + (-19 + 30 - -5).
-7
-7 + (16 + 10 - -3) - (7 + -1)
16
Calculate (-1 - (-3 + 11)) + -35 + 69.
25
Calculate -90 + 72 - (-22 + -4).
8
Calculate 0 + 21 - (125 - 91).
-13
Calculate -52 + -10 + -13 + 31 + 10.
-34
What is (-11 - -1) + (-16 - -12 - (8 - 5))?
-17
Calculate 0 + -8 - (-14 + 2 - (40 + -44)).
0
Evaluate 38 + -38 - (8 - -3).
-11
-9 - (-37 - (5 + -21))
12
Calculate -317 + 361 - (0 - -27).
17
What is the value of (5 - (21 + -17)) + -8?
-7
Calculate -25 + 10 + 4 - 38 - -12.
-37
Calculate 5 - (6 + -11 - (-2 + 2 + -5)).
5
Calculate (1 - -23) + -10 - 12.
2
-3 + 5 + -8 + -27 + 38
5
Calculate 2 - 22 - -15 - (1 + (-7 - -2)).
-1
Evaluate 8 - ((-51 - -53) + 1 + 3).
2
Evaluate 1 - (-8 + -2) - (-5 - -15).
1
What is -18 + -2 - (-323 - -305)?
-2
What is the value of (-4 - -36) + (0 - 7) + 0?
25
What is 0 + -2 + -5 - (-1 + 5)?
-11
(-27 - -18 - 8 - -4) + 48
35
-21 - (-46 + 21) - (-1 + 0 - -6)
-1
What is the value of -1 + -29 + (0 - -14)?
-16
Evaluate -5 - (-9 + (-10 - -8 - -7 - 2)).
1
Calculate (-25 - -4) + (73 - 61).
-9
(32 - 29 - (-1 - -2 - -8)) + 14
8
(111 - (50 + 52)) + (0 - -1) + 4
14
-20 + (27 - (-30 + 57))
-20
What is (3 - 1) + -5 - (8 + (-1 - 14))?
4
Calculate (25 - 18 - 24) + (1 - -8) + -6.
-14
Evaluate 3 + (0 - (1 + 9)).
-7
Calculate -3 + 42 - (27 + 16).
-4
-7 + -7 + 13 - 6
-7
Calculate 6 - (12 + -4 + 2 - 7).
3
Evaluate (-13 - (-4 - 0) - -5 - -2) + -4.
-6
What is -1 - (-6 - (-2 - -6 - (3 + 1)))?
5
What is the value of 2 + (5 - 10) + -7?
-10
Evaluate (-9 - (-12 - (-10 - 8))) + 4.
-11
What is -30 + 39 + -10 + 28 + -7?
20
Calculate (15 - 17 - -16) + -15.
-1
Evaluate -1 - (-15 - (-33 + 32 - (1 + 1))).
11
Calculate -16 + (40 - -6) + -8.
22
Calculate 0 + -15 - (0 + -6 + 7) - -3.
-13
What is (-3 - 2) + (23 - 27)?
-9
What is -4 + 10 + (-30 + -6 - -10)?
-20
Calculate 316 + -304 - (-13 + 3).
22
Evaluate -13 + -10 + (9 - (-1 - -3)).
-16
Calculate (-12 - -1) + ((11 - -2) + 1 - 12).
-9
Calculate (0 - -5) + 5 + -24 + (9 - 24).
-29
Evaluate 34 - -5 - 12 - 20.
7
Evaluate -9 - -36 - ((16 - 10) + 12).
9
Evaluate (-20 - (-9 + 0)) + (16 - 3).
2
-2 + (5 - -1) + (6 - 0) + 4
14
Evaluate 7 - (0 - (-4 + -9)).
-6
Calculate 4 + (-14 - -5 - 5).
-10
What is 13 + (-11 + 19 - 36)?
-15
207 + -195 - (4 + -30)
38
Evaluate -18 - (35 - (-5 + 52)).
-6
What is -4 + -2 + 1 + 23 + -15 + 5?
8
What is 7 + -7 - (37 - 38)?
1
What is 0 + (21 - 4) + -20?
-3
-1 + (7 - (28 - -1) - -2) + 5
-16
Calculate 6 - (0 - 16 - (13 + -17)).
18
What is the value of -3 + (-10 - -2 - (39 + -48))?
-2
What is -10 + (28 + -4 - 7) - 20?
-13
Evaluate 13 - (5 - 6) - (22 - 13).
5
Calculate 0 + (1 - 0) - (20 + -31 + 14).
-2
18 + (-18 - (-39 + 23))
16
What is 2 + -2 + 0 + 5 + 0 + -1?
4
-3 + 1 + 55 + -17 + -23
13
What is -5 - ((17 - 19) + (2 - -6) - -5)?
-16
What is the value of -37 + (84 - 40) + (1 - -16)?
24
Evaluate (-2 - 1 - (13 - 21)) + -3 + 8.
10
What is the value of 0 + 4 + (-5 + 5 - -1)?
5
Evaluate -1 + -30 + 2 - (-5 + 1 + -3).
-22
What is the value of 47 + -19 - 13 - (2 + 2)?
11
Calculate -9 + (-10 - (2 + -10)) + 4 + 22.
15
What is 14 - (-20 + 13 + 42)?
-21
Calculate 28 + -9 + -1 + (5 - 19).
4
-2 + 5 + (4 + 10 - 6 - 10)
1
Evaluate -2 - 35 - (-85 + 12).
36
What is -1 - (-17 - (3 + -7))?
12
What is the value of -1 + 1 + (53 - 67)?
-14
Evaluate (2 - 1) + 0 - (-23 - -31 - 3).
-4
What is the value of 2 - ((-4 - -9) + -3 + (-1 - 1))?
2
What is -30 - (31 + -26 + -56)?
21
Evaluate -9 + (8 - -3) + -7.
-5
Calculate 28 + -2 + 122 + -139.
9
What is the value of (9 - -1) + (31 - 13 - 15)?
13
What is 23 - (42 - (-26 - -44))?
-1
What is 1 - 9 - ((-59 - 3) + 62)?
-8
4 - (-6 - -6) - (17 - -4 - 1)
-16
What is the value of -8 + 2 - (23 + -29 + 11)?
-11
What is 0 + 36 - (2411 + -2381)?
6
Calculate -19 + 23 + (-11 - 0) + (-9 - 1).
-17
-13 + (34 - 17) + -17
-13
-42 + 45 - ((1 - 3) + 6)
-1
Calculate (291 - 291 - ((-3 - -2) + -5)) + -1.
5
What is -9 - 13 - (-67 - -35)?
10
What is the value of 0 - (-4 - -41 - 4) - (-4 - 2)?
-27
What is the value of 0 - (-14 + (-1 - -7) + -1 + 3)?
6
1 + -8 + -4 + 15
4
Evaluate 1 - (-18 - (-5 - 3 - -2)).
13
Evaluate -17 + 38 + -24 + 11.
8
What is the value of -17 + -2 - (-87 - -37)?
31
What is -11 + (-24 - -39) + 9?
13
What is 0 - (3 + -12 + -1)?
10
Calculate 1 - -24 - (-24 - -55).
-6
Evaluate 25 + 21 + -39 - (-1 - -1 - -7).
0
What is 58 + -40 + (5 - 13)?
10
Calculate -35 + (14 - -3) - -27.
9
24 + -14 + 16 - -12
38
What is (6 - 1 - 2 - 20) + -5 + 8?
-14
9 + -1 + -17 - (-26 - -39)
-22
What is (-10 - -15 - -19) + -43?
-19
Evaluate (-2 + -2 + 6 - 4) + -122 + 119.
-5
Evaluate -13 - (-44 + 24) - 17.
-10
(-1 - 2) + 1 + 5 - 1 - -6
8
Evaluate 5 + (4 - -5 - (7 + 3)).
4
What is the value of (14 + -30 - -12) + -2?
-6
What is (-232 - -240) + (3 + (-1 - 11) - 0)?
-1
Evaluate 7 + -18 + 11 + 1.
1
What is the value of (11 - 6) + 12 + -12?
5
Calculate -25 + 40 + 4 - 25.
-6
Evaluate 9 - 4 - -1 - (24 + -11).
-7
Evaluate 1 - (-48 + -17 + 45).
21
Calculate (8 - (-51 - -27)) + -6.
26
Evaluate -2 + 0 + 0 + -26 + -28 + 43.
-13
What is the value of (-4 - (-3 + 5)) + (5 - -1)?
0
What is the value of 17 + -4 - 34 - (0 + -1 + -3)?
-17
What is -2 - -1 - (-33 - (13 - (36 + -14)))?
23
Evaluate -18 - (-22 - (6 + 5)).
15
Calculate 5 + (2 - 4 - -1) + 3 - 12.
-5
(12 - (9 - (-7 - -11))) + -2 + -14
-9
What is -41 + 39 - (0 - -4)?
-6
What is -25 + 6 + 4 + 11 + 3 + 15?
14
1 + -14 + (2 - 15) + -93 + 105
-14
Calculate (10 - (-3 + 23)) + -5 + 17.
2
What is the value of -2 - -7 - (24 - 12) - -10?
3
-5 + 1 + -1 + 31 + -29
-3
What is the value of (14 - (2 + 12)) + -3?
-3
-6 - ((-7 - -10) + -1 + 10 - 6)
-12
What is (2 - (2 + 2)) + 85 + -81?
2
4 - ((-6 - (-13 + 2 - -1)) + -15)
15
5 + 5 + -5 + -5 - (-3 - 2)
5
Calculate 2 - (12 - 10) - -6.
6
(29 - 1) + -37 - (1 - 5) - 9
-14
What is the value of -7 + (-6 - (-26 - -4))?
9
(225 - 206) + (-4 - 1)
14
What is the value of -1 + 3 + (3 - 9) + -2 + 2?
-4
What is the value of 4 - 1 - (-19 + 30) - -11?
3
Evaluate 5 + -1 + (38 - -1) + -46.
-3
(44 - (-35 + 39)) + -17
23
What is the value of -5 + (8 - -19) - (11 - 2)?
13
What is 18 + -11 + (1 - -2) - -1?
11
Evaluate (5 - (0 | {
"pile_set_name": "DM Mathematics"
} |
se 4?
-11031
Convert -1100012 (base 3) to base 15.
-452
Convert 1044 (base 8) to base 12.
398
Convert -a764 (base 13) to base 11.
-16503
Convert 430 (base 11) to base 8.
1005
What is -31564 (base 7) in base 14?
-2bdb
-1111100001 (base 2) to base 5
-12433
Convert -c61 (base 16) to base 7.
-12145
What is -11929 (base 11) in base 7?
-100555
What is -21102322 (base 4) in base 6?
-452134
-10100001011 (base 2) to base 10
-1291
What is 13200 (base 5) in base 11?
875
Convert -111010112 (base 3) to base 5.
-301242
What is -156 (base 10) in base 8?
-234
124 (base 8) to base 14
60
294 (base 12) to base 16
190
225 (base 6) to base 7
155
2745 (base 8) to base 7
4254
Convert -1066 (base 12) to base 16.
-70e
What is a52c (base 16) in base 5?
2323114
-1204 (base 5) to base 16
-b3
1c0 (base 16) to base 5
3243
Convert -132314 (base 5) to base 3.
-21022120
What is -43454 (base 6) in base 13?
-2974
What is -287 (base 14) in base 9?
-627
1bc (base 15) to base 12
296
-19a51 (base 13) to base 14
-1437c
-100000001001 (base 2) to base 11
-1600
Convert 107 (base 12) to base 16.
97
Convert 3031 (base 5) to base 4.
12013
Convert -113010 (base 6) to base 3.
-111100020
-241415 (base 7) to base 4
-22223321
What is 3674 (base 11) in base 8?
11300
5585 (base 14) to base 11
10150
What is -320100 (base 4) in base 7?
-13332
What is 10a (base 14) in base 15?
db
303 (base 12) to base 7
1161
51727 (base 9) to base 3
1201210221
What is -120644 (base 8) in base 10?
-41380
45 (base 6) to base 14
21
Convert -130133 (base 6) to base 5.
-333341
1003102 (base 4) to base 14
17d8
Convert 1100011110 (base 2) to base 8.
1436
Convert -2593b (base 12) to base 2.
-1100100011111111
211231 (base 4) to base 5
34123
21655 (base 7) to base 2
1010101100111
-53450 (base 7) to base 10
-13265
What is 4372 (base 9) in base 5?
100344
6500 (base 7) to base 12
13bb
Convert 6485 (base 9) to base 15.
1635
What is -111010001 (base 2) in base 15?
-210
-153012 (base 7) to base 13
-10782
What is -40 (base 9) in base 8?
-44
-2510 (base 12) to base 8
-10134
What is 13605 (base 9) in base 7?
35636
Convert 1110011010000101 (base 2) to base 6.
1133113
Convert 15210 (base 6) to base 4.
212112
What is 18888 (base 13) in base 16?
b9f1
What is -33000 (base 4) in base 5?
-12320
Convert -326a (base 11) to base 3.
-12220200
Convert a81 (base 11) to base 9.
1703
4433 (base 8) to base 10
2331
Convert -222002100 (base 3) to base 4.
-10221021
94ac (base 14) to base 2
110010000100000
498 (base 14) to base 9
1230
161 (base 7) to base 11
84
Convert -3124 (base 5) to base 6.
-1530
What is 25661 (base 8) in base 13?
5125
Convert 933 (base 16) to base 4.
210303
What is 516 (base 7) in base 8?
402
Convert 143 (base 11) to base 5.
1133
-2437 (base 15) to base 8
-17026
10011010111101 (base 2) to base 7
40625
What is -90d1 (base 14) in base 15?
-7589
Convert 375e (base 16) to base 5.
423144
Convert 110001010000001 (base 2) to base 13.
b62a
64214 (base 7) to base 13
7301
260 (base 8) to base 2
10110000
What is 301 (base 7) in base 14?
a8
52d (base 15) to base 3
1121021
-1010101 (base 3) to base 12
-584
2365 (base 8) to base 11
a54
What is -4242 (base 6) in base 7?
-2543
1312 (base 8) to base 7
2040
426 (base 9) to base 16
15c
Convert 26a (base 11) to base 10.
318
Convert -594 (base 14) to base 12.
-786
31304 (base 5) to base 2
100000011111
Convert -188 (base 11) to base 10.
-217
61 (base 11) to base 6
151
What is 4022 (base 6) in base 2?
1101101110
What is -466 (base 7) in base 9?
-301
1001020002 (base 3) to base 10
20576
315420 (base 7) to base 3
2210002200
Convert -4015 (base 7) to base 6.
-10224
5c60 (base 16) to base 10
23648
What is -51e5 (base 15) in base 16?
-43a3
What is -36c (base 15) in base 2?
-1100001001
What is cb (base 16) in base 2?
11001011
Convert -4a3f (base 16) to base 7.
-106262
-10431410 (base 5) to base 14
-25b18
-9d1c (base 14) to base 3
-1101102000
Convert -5a1 (base 12) to base 8.
-1511
-5114 (base 6) to base 10
-1126
What is 25100 (base 8) in base 2?
10101001000000
What is 1182 (base 9) in base 3?
1012202
What is -512134 (base 6) in base 2?
-1001111011011010
Convert -11010131 (base 4) to base 14.
-77d3
What is -28832 (base 9) in base 12?
-b43b
Convert -1645 (base 8) to base 11.
-779
-1f71 (base 16) to base 7
-32316
Convert -101000100 (base 2) to base 12.
-230
-1521 (base 6) to base 8
-631
-441230 (base 5) to base 7
-62200
What is -a46 (base 13) in base 14?
-8cc
Convert -1843 (base 9) to base 10.
-1416
Convert 1102102 (base 3) to base 5.
13122
What is 10000 (base 4) in base 3?
100111
What is 1587 (base 9) in base 4?
102331
What is 118c3 (base 14) in base 4?
22132103
-128 (base 11) to base 2
-10010111
Convert 12032 (base 8) to base 14.
1c38
-36445 (base 10) to base 11
-25422
Convert 10f (base 16) to base 8.
417
What is 7a35 (base 12) in base 5?
413302
Convert -120101 (base 4) to base 3.
-2010112
-14437 (base 8) to base 15
-1d8b
10201 (base 3) to base 6
244
Convert -4da (base 14) to base 5.
-12401
24904 (base 12) to base 9
75134
487 (base 13) to base 14
403
a5 (base 11) to base 10
115
241 (base 10) to base 9
287
144b9 (base 12) to base 15
8610
What is 1161 (base 7) in base 11?
366
14364 (base 10) to base 4
3200130
Convert 22115 (base 6) to base 7.
11645
Convert -14011 (base 5) to base 16.
-46b
What is -4699 (base 10) in base 13?
-21a6
a9 (base 12) to base 8
201
a500 (base 14) to base 10
28420
What is a152 (base 11) in base 16?
34b0
What is -11321 (base 5) in base 11?
-6a0
69b (base 15) to base 14
78c
-55 (base 11) to base 8
-74
Convert -72aa (base 12) to base 4.
-3003202
What is -41323 (base 5) in base 12?
-16a1
-3144 (base 13) to base 3
-100100110
What is -23221 (base 4) in base 12?
-521
What is -10413 (base 5) in base 16?
-2dd
Convert -354e (base 15) to base 4.
-2300330
-42306 (base 10) to base 5
-2323211
171 (base 13) to base 7
522
Convert 158a (base 12) to base 13.
1216
What is 18 (base 10) in base 8?
22
123121 (base 5) to base 11
3661
What is 1015 (base 12) in base 4?
123101
2277 (base 8) to base 14
62b
What is 4d28 (base 15) in base 12?
963b
Convert -40195 (base 11) to base 14.
-175d3
32400 (base 5) to base 13
1022
What is 11624 (base 7) in base 8?
5760
83f (base 16) to base 15
95b
Convert 1350 (base 6) to base 7.
1014
Convert 8 (base 12) to base 15.
8
-23 (base 11) to base 9
-27
What is -2020112 (base 3) in base 14?
-84a
What is 615 (base 7) in base 14?
17c
What is 4b7 (base 13) in base 15?
3a1
Convert 3105 (base 7) to base 15.
4c3
-505244 (base 6) to base 15
-bd0a
Convert -1462 (base 8) to base 12.
-582
Convert 6913 (base 13) to base 4.
3211333
What is 35167 (base 9) in base 6?
300354
1322a (base 11) to base 10
18908
-1c56 (base 13) to base 14
-17cc
What is 6466 (base 8) in base 3?
11122021
What is -42a (base 14) in base 16?
-336
-2639 (base 10) to base 5
-41024
25109 (base 11) to base 9
54424
Convert -1071 (base 8) to base 6.
-2345
Convert 104725 (base 9) to base 5.
4000210
What is -31130 (base 4) in base 16?
-35c
207463 (base 8) to base 12
34217
134014 (base 6) to base 3
122012101
Convert -61c4 (base 13) to base 8.
-32307
What is 107471 (base 9) in base 11?
44543
Convert 524 (base 7) to base 6.
1115
Convert -20366 (base 7) to base 3.
-20212002
Convert 834 (base 9) to base 16.
2a7
-555 (base 8) to base 10
-365
Convert 223103 (base 6) to base 2.
100100110001111
What is 125 (base 10) in base 11?
104
What is 1302211 (base 4) in base 7?
30244
Convert -13d (base 16) to base 15.
-162
-2875a (base 11) to base 13
-15789
What is 13222 (base 5) in base 15?
4ac
What is 44617 (base 10) in base 6?
542321
4a3b (base 15) to base 4
3312332
-12687 (base 12) to base 13
-b5b4
Convert 101110000 (base 2) to base 3.
111122
What is 374 (base 15) in base 9?
1061
What is 3444 (base 9) in base 16?
9f7
What is 1a02 (base 12) in base 5?
100140
47873 (base 10) to base 13
18a37
What is -400044 (base 5) in base 16?
-30ec
What is 108b (base 13) in base 12?
1408
What is -50015 (base 6) in base 9?
-8812
67 (base 11) to base 5
243
Convert 4afc (base 16) to base 11.
13471
Convert 20520 (base 8) to base 2.
10000101010000
Convert -1b09 (base 14) to base 15.
-16c4
132 (base 8) to base 5
330
What is 1110111000 (base 2) in base 3?
1022021
Convert 340530 (base 6) to base 4.
13000212
Convert 9cb (base 16) to base 7.
10211
What is -1b91 (base 12) | {
"pile_set_name": "DM Mathematics"
} |
is the hundred millions digit of 261577227?
2
What is the tens digit of 358480008?
0
What is the hundred millions digit of 917762949?
9
What is the units digit of 2916971118?
8
What is the ten millions digit of 75815860?
7
What is the ten thousands digit of 19773331?
7
What is the hundred thousands digit of 264748577?
7
What is the thousands digit of 66218800?
8
What is the hundreds digit of 182626668?
6
What is the billions digit of 1012937749?
1
What is the hundred thousands digit of 1348115950?
1
What is the millions digit of 21813469?
1
What is the ten millions digit of 1362657514?
6
What is the ten millions digit of 98264825?
9
What is the ten thousands digit of 35655158?
5
What is the millions digit of 63100133?
3
What is the thousands digit of 880803209?
3
What is the tens digit of 144090075?
7
What is the thousands digit of 708288886?
8
What is the billions digit of 3986931830?
3
What is the hundreds digit of 203497518?
5
What is the tens digit of 2417043791?
9
What is the ten millions digit of 28221220?
2
What is the ten thousands digit of 31075510?
7
What is the millions digit of 71321464?
1
What is the billions digit of 4364577803?
4
What is the hundred thousands digit of 62551274?
5
What is the ten thousands digit of 983762958?
6
What is the units digit of 7349635860?
0
What is the hundred thousands digit of 324222618?
2
What is the ten millions digit of 1103067929?
0
What is the hundred millions digit of 260962787?
2
What is the millions digit of 54157208?
4
What is the hundred millions digit of 1800860126?
8
What is the thousands digit of 68670097?
0
What is the hundreds digit of 109784737?
7
What is the hundreds digit of 668069981?
9
What is the hundred millions digit of 2679149132?
6
What is the tens digit of 282124055?
5
What is the units digit of 2034218317?
7
What is the hundred thousands digit of 58116776?
1
What is the millions digit of 81499604?
1
What is the thousands digit of 187156504?
6
What is the tens digit of 640521012?
1
What is the units digit of 2311224?
4
What is the millions digit of 34297036?
4
What is the ten thousands digit of 632850240?
5
What is the units digit of 9506454?
4
What is the units digit of 819538481?
1
What is the hundred thousands digit of 683683449?
6
What is the thousands digit of 263285734?
5
What is the hundred millions digit of 3473291726?
4
What is the millions digit of 232774691?
2
What is the ten millions digit of 126066934?
2
What is the millions digit of 93273619?
3
What is the hundred millions digit of 286915303?
2
What is the thousands digit of 4232141?
2
What is the millions digit of 6193959532?
3
What is the thousands digit of 7109034203?
4
What is the thousands digit of 4183712?
3
What is the units digit of 25047501?
1
What is the hundreds digit of 168107479?
4
What is the units digit of 6639487262?
2
What is the ten thousands digit of 260990824?
9
What is the billions digit of 1976749784?
1
What is the thousands digit of 146424626?
4
What is the millions digit of 130710068?
0
What is the hundreds digit of 469160320?
3
What is the thousands digit of 154954398?
4
What is the thousands digit of 8110944?
0
What is the ten millions digit of 32599882?
3
What is the tens digit of 177381132?
3
What is the ten millions digit of 68756602?
6
What is the hundreds digit of 355150590?
5
What is the tens digit of 2050321?
2
What is the units digit of 27704345?
5
What is the hundred thousands digit of 14268715?
2
What is the hundred millions digit of 1136940785?
1
What is the units digit of 398665927?
7
What is the ten millions digit of 4911100587?
1
What is the units digit of 27597513?
3
What is the hundred millions digit of 263388480?
2
What is the hundreds digit of 1235724492?
4
What is the ten millions digit of 94948235?
9
What is the tens digit of 119676529?
2
What is the ten thousands digit of 32075804?
7
What is the hundreds digit of 956662889?
8
What is the hundred thousands digit of 107783677?
7
What is the tens digit of 3536277253?
5
What is the hundred thousands digit of 2040753665?
7
What is the units digit of 323473911?
1
What is the millions digit of 671456565?
1
What is the hundred thousands digit of 48400855?
4
What is the tens digit of 1199408516?
1
What is the millions digit of 458318319?
8
What is the thousands digit of 435469918?
9
What is the thousands digit of 663574710?
4
What is the millions digit of 4979433493?
9
What is the ten thousands digit of 730613837?
1
What is the thousands digit of 1009381439?
1
What is the millions digit of 3438814942?
8
What is the tens digit of 203346475?
7
What is the hundred thousands digit of 129081357?
0
What is the millions digit of 90565244?
0
What is the units digit of 53212560?
0
What is the billions digit of 3554171702?
3
What is the hundreds digit of 4083322879?
8
What is the units digit of 1782017600?
0
What is the thousands digit of 784639367?
9
What is the hundreds digit of 4379593797?
7
What is the tens digit of 1273725552?
5
What is the hundred thousands digit of 979304620?
3
What is the ten millions digit of 312601772?
1
What is the ten millions digit of 268976311?
6
What is the ten thousands digit of 611443893?
4
What is the hundreds digit of 111483237?
2
What is the tens digit of 1112434108?
0
What is the hundred thousands digit of 94113004?
1
What is the thousands digit of 31175678?
5
What is the millions digit of 2722645617?
2
What is the thousands digit of 2141371075?
1
What is the units digit of 161430010?
0
What is the hundred thousands digit of 61130715?
1
What is the ten millions digit of 42962428?
4
What is the hundred thousands digit of 73681432?
6
What is the billions digit of 4315225605?
4
What is the tens digit of 39709734?
3
What is the ten thousands digit of 500936296?
3
What is the thousands digit of 86983155?
3
What is the thousands digit of 6583992001?
2
What is the tens digit of 888779802?
0
What is the units digit of 48788329?
9
What is the tens digit of 134931081?
8
What is the tens digit of 94823317?
1
What is the millions digit of 4560988408?
0
What is the hundreds digit of 10800102?
1
What is the tens digit of 55637807?
0
What is the ten thousands digit of 308530585?
3
What is the tens digit of 2493885769?
6
What is the ten thousands digit of 402864316?
6
What is the millions digit of 146805104?
6
What is the millions digit of 197702497?
7
What is the ten millions digit of 32844022?
3
What is the units digit of 43717503?
3
What is the ten millions digit of 40163812?
4
What is the hundred millions digit of 1531279194?
5
What is the billions digit of 1988213835?
1
What is the billions digit of 2136114293?
2
What is the tens digit of 106257568?
6
What is the tens digit of 101406273?
7
What is the ten thousands digit of 436082047?
8
What is the hundred millions digit of 2478066463?
4
What is the ten millions digit of 3672214656?
7
What is the thousands digit of 209509433?
9
What is the thousands digit of 26806424?
6
What is the hundred thousands digit of 2589804573?
8
What is the tens digit of 1739783451?
5
What is the ten thousands digit of 668707200?
0
What is the tens digit of 48673444?
4
What is the tens digit of 381632936?
3
What is the ten millions digit of 6411900769?
1
What is the hundreds digit of 54627088?
0
What is the hundred millions digit of 1504930708?
5
What is the tens digit of 222204207?
0
What is the thousands digit of 253173615?
3
What is the thousands digit of 1076661794?
1
What is the hundred thousands digit of 30235206?
2
What is the tens digit of 26444158?
5
What is the units digit of 2220794912?
2
What is the hundreds digit of 10797138?
1
What is the hundred thousands digit of 237293857?
2
What is the ten millions digit of 556478194?
5
What is the tens digit of 1227297611?
1
What is the hundred thousands digit of 128937074?
9
What is the hundred millions digit of 723569397?
7
What is the millions digit of 102540340?
2
What is the tens digit of 1039809512?
1
What is the thousands digit of 623009123?
9
What is the ten millions digit of 70711583?
7
What is the tens digit of 56981582?
8
What is the thousands digit of 1578937112?
7
What is the hundreds digit of 62012086?
0
What is the millions digit of 1107603114?
7
What is the millions digit of 94430801?
4
What is the thousand | {
"pile_set_name": "DM Mathematics"
} |
t(108)/sqrt(4)).
78*sqrt(7) + 2804
Simplify ((sqrt(396)/(sqrt(324)*-4 - sqrt(324)))/(sqrt(44)/((sqrt(1100) - sqrt(11))*4)))**2*-5.
-396/5
Simplify (-5 + -1*(sqrt(704) + (2*sqrt(704) - sqrt(704)))**2 - (sqrt(77)/sqrt(28)*1 + -5)**2) + 5 + -5.
-11395/4 + 5*sqrt(11)
Simplify -5 + ((sqrt(1539) + sqrt(1539)*2 + sqrt(1539) + 1)**2 - sqrt(1539) - ((1*-3*sqrt(1539))**2 + sqrt(1539)) - (2*sqrt(1539)*3 + 4)**2).
-44651 - 378*sqrt(19)
Simplify (sqrt(912)*3 + sqrt(228)/sqrt(4)*-5)/(-5*-6*(sqrt(3) + ((sqrt(12)*2)/sqrt(4) - sqrt(3)) + sqrt(3))).
7*sqrt(19)/90
Simplify ((sqrt(68) + 1 + sqrt(68) + -5)**2 + sqrt(68))*-1 - ((3 + sqrt(17) - sqrt(17))*-2 - (sqrt(51)*2)/sqrt(3)).
-282 + 32*sqrt(17)
Simplify 2 + (-1*(sqrt(700) - 4*(-5 + sqrt(700) - sqrt(700)) - (-3*(sqrt(700) + 4*sqrt(700)) - sqrt(700))))**2.
6800*sqrt(7) + 202702
Simplify (-4 + 0 + (3*sqrt(18)*2 - (sqrt(882) + -2) - (sqrt(450) + (sqrt(450) - 2*sqrt(450)))*-3))**2.
12*sqrt(2) + 22
Simplify ((sqrt(190) + sqrt(190)*1)*5 + (sqrt(190) - -3*3*sqrt(190)))/(2*(sqrt(160)*2 - sqrt(160))*-5).
-sqrt(19)/2
Simplify (-3*(sqrt(1400) - sqrt(1400)*1))/(sqrt(7)*-1*3*1) + 1.
1
Simplify (-1*(sqrt(95) + (sqrt(95) - (sqrt(95) - -2*sqrt(95))) + sqrt(95) + sqrt(95))*-6*4)/(sqrt(1280)/sqrt(4) - 1*sqrt(80)).
6*sqrt(19)
Simplify (0 + sqrt(1377)*-2 - ((sqrt(1377)*-2 - sqrt(1377)) + -2) - (2 + sqrt(1377)*2 + sqrt(1377) + sqrt(1377) + -5 + sqrt(1377) + -1))**2.
-432*sqrt(17) + 22068
Simplify ((-2 + (-1*sqrt(1100) + sqrt(1100) - sqrt(1100) - sqrt(1100))/(1*sqrt(576))*3)**2 + -4)*-4.
-275 - 40*sqrt(11)
Simplify (sqrt(700)*-1*4*6*-5)**2 + ((sqrt(700) - (sqrt(700) + 3*(-2 + sqrt(700) + sqrt(700)) + sqrt(700))) + sqrt(700) + sqrt(700)*1*2)**2.
-480*sqrt(7) + 10091236
Simplify 5 + (-4*(sqrt(288)*-1 + -2 - (sqrt(288) + 1)*6 - (5 + -2*(-2*sqrt(288) - sqrt(288)))) + 4)**2.
69888*sqrt(2) + 781893
Simplify (2 + (sqrt(468) - (sqrt(468) + 0))**2 + 4 - (sqrt(52)/(-3*sqrt(4)) - (sqrt(637) + 1*sqrt(637)))**2)*6.
-47966/3
Simplify -6*(1 + sqrt(325)) + (0 + sqrt(325))**2*1 - 1*-6*(sqrt(325) + -2*(sqrt(325) + sqrt(325) + 4))**2.
1410*sqrt(13) + 18253
Simplify (sqrt(864) + -3*sqrt(864) + sqrt(288)/sqrt(432))/(sqrt(84)/(sqrt(35)/sqrt(5)) - sqrt(36)/sqrt(3)*2).
71*sqrt(2)/6
Simplify -5*((5*(sqrt(2299) + -3 + 5 - sqrt(2299))*1 + 5)*-2)**2.
-4500
Simplify -1 + sqrt(2448)*-1 + ((sqrt(2448) - sqrt(2448)*-1) + sqrt(2448))**2 + 0 + 1 - (sqrt(2448) + 1 + (sqrt(2448) + 0)**2)*-5*5.
288*sqrt(17) + 83257
Simplify (6*sqrt(189) + sqrt(21)*1*4)/(5*sqrt(7)*2 + sqrt(7) + (sqrt(7) - sqrt(1008)*2)).
-11*sqrt(3)/6
Simplify 4*(-2*sqrt(228)*1*-6)/(-2*sqrt(12)*1*-3) + -3.
-3 + 8*sqrt(19)
Simplify 6*sqrt(60)/sqrt(3) + (sqrt(270)/(sqrt(27)/sqrt(3)))/sqrt(6) + (1*(1 + sqrt(605))*-2*-5)**2.
2213*sqrt(5) + 60600
Simplify ((sqrt(48)/sqrt(2) - sqrt(24)) + (sqrt(72)/sqrt(4))/sqrt(3) + sqrt(6))/((2*sqrt(72)*3 - sqrt(72))*6).
sqrt(3)/90
Simplify 5 + 2 + (3*(-2 + -4 + (sqrt(272) - -2*-3*sqrt(272)) + 0))**2.
2160*sqrt(17) + 61531
Simplify 2 + (1 + -2*(sqrt(300) + -1))**2 + (6*(sqrt(432) + 2) - 3*sqrt(432)*-6).
168*sqrt(3) + 1223
Simplify (-1*sqrt(84)*3 - 2*sqrt(84)*1)/(4*(sqrt(588) - (sqrt(588) - sqrt(588)*-2)) + 4*(sqrt(588) - sqrt(588)*-2)).
-5*sqrt(7)/28
Simplify (-1 + -2*(5 + sqrt(567)*-3)*-5 + 3)**2 + 5.
-28080*sqrt(7) + 513009
Simplify (-4 + -3 + ((sqrt(450) - ((3*sqrt(450)*-1 - sqrt(450)) + sqrt(450)))*5)/((sqrt(729) + 2*sqrt(729) - sqrt(9))*-1))**2.
700*sqrt(2)/13 + 13281/169
Simplify (-4*sqrt(224)*-3*4)/((sqrt(14) + 6*sqrt(14)*-1)/(sqrt(77)/(-2*sqrt(11)) - sqrt(7))).
288*sqrt(7)/5
Simplify ((sqrt(72) - ((sqrt(72) + 3)**2 - sqrt(72)))*-6 + sqrt(72) + 4 - ((-1*(-2*sqrt(72) - sqrt(72)))**2 - ((2 + sqrt(72) + sqrt(72))*-2 + sqrt(72))))*3.
-486 + 396*sqrt(2)
Simplify (5 + -6*((sqrt(180)*1 - sqrt(180))*-1 + sqrt(180))/sqrt(10)*-4)*-5.
-360*sqrt(2) - 25
Simplify (-1*(-4*sqrt(98)*2 + 3))**2 + -2*(sqrt(98) + sqrt(98) + -2 + sqrt(98) + 3 + -4).
-378*sqrt(2) + 6287
Simplify (1*sqrt(84)*-2 - (sqrt(84) + 5*1*sqrt(84)))/(-2*-6*sqrt(108)).
-2*sqrt(7)/9
Simplify -4 + -2*(4*sqrt(275) + sqrt(275))**2 + ((-5*sqrt(176)*-2)**2 - sqrt(176) - (-2*sqrt(176))**2*4).
-4*sqrt(11) + 1030
Simplify 2 + (-3 + 2*(sqrt(325) - (sqrt(325) + 1))**2 + sqrt(325) - (-2*sqrt(325) + -4 - -1*((sqrt(325) - sqrt(325)*-1) + sqrt(325)))) + 0.
5
Simplify (-4*(-2 + sqrt(832)) - (1 + sqrt(832)*4 + sqrt(832)))**2 + (2 + sqrt(832) + 2 - (2 + sqrt(832) + -1)).
-1008*sqrt(13) + 67444
Simplify 6*(-5 + ((3*sqrt(85))/sqrt(5) - (sqrt(272)*-6 + sqrt(17)))**2*-2).
-137934
Simplify 6*((sqrt(4) + sqrt(4) + -1*sqrt(144))/sqrt(2) + -2 + (2*sqrt(44)/sqrt(2))/(sqrt(11) - (1*sqrt(176) + sqrt(176) - sqrt(176)))).
-28*sqrt(2) - 12
Simplify ((-2 + sqrt(968) + -1 + -4 - (4 + 1*(0 + sqrt(392)))) + -3)**2*-3.
-972 + 672*sqrt(2)
Simplify (-2*-2*sqrt(17) - (sqrt(34)/sqrt(2) + -3 - sqrt(17)))**2 + ((3*sqrt(102) - sqrt(102))*3)/sqrt(6) + 1.
30*sqrt(17) + 282
Simplify 0 + (sqrt(252)*3 - sqrt(84)/sqrt(108) - (sqrt(56)/(sqrt(8)*1*1) + 2)).
-2 + 50*sqrt(7)/3
Simplify (0 + (sqrt(704) + (sqrt(704) - (-1 + sqrt(704))) + 0 + (5*(sqrt(704) + 3) - sqrt(704)))*-1 + -5)**2 + 0.
1680*sqrt(11) + 18041
Simplify -3 + (3*(-2 + 2*sqrt(500) + 3*(sqrt(500)*-2 + sqrt(500)) + (5 + sqrt(500)*3 - sqrt(500)) + 5 + -3*sqrt(500)))**2.
-2880*sqrt(5) + 18573
Simplify (((0 + (-2 + sqrt(2299))*5)**2 - ((sqrt(2299) + 1 - sqrt(2299))*6 - (-2*sqrt(2299)*-6)**2)) + 0)*2.
-2200*sqrt(19) + 777250
Simplify 3*(((sqrt(108)*1*6 + sqrt(108) + sqrt(108)*-1*6 - -5*sqrt(108)*-1*3) + 3)**2 + -1).
-1512*sqrt(3) + 63528
Simplify 0 + (((sqrt(91) - (sqrt(91)*-1 - sqrt(91))*4) + 5*1*sqrt(91))/((sqrt(112)/sqrt(2))/sqrt(8) - 5*(sqrt(7) + -2*sqrt(7))))**2 + 1.
646/9
Simplify sqrt(21)/(sqrt(3) - sqrt(3)*-2) + 0 + sqrt(63) + 3*sqrt(7)*-1 + -2*(0 + sqrt(7))**2 - (sqrt(420)/(sqrt(60)/sqrt(5)))/(sqrt(15)/(sqrt(21)/sqrt(7))).
-14 - 2*sqrt(7)/3
Simplify ((sqrt(117)*-2*-5 + 5 + ((sqrt(13) - sqrt(208))*-4 - sqrt(13)) + -5)*4 + -4)**2.
-1312*sqrt(13) + 349664
Simplify ((sqrt(19) + 1*sqrt(1216) + sqrt(1216) - 2*sqrt(19)*3)*-2 + sqrt(114)/sqrt(6)*1 + sqrt(304)*-2)**2.
15979
Simplify ((sqrt(385)/(-2*sqrt(11) - sqrt(11)) - sqrt(140)*4)/((sqrt(60) - (sqrt(180)*2)/sqrt(3))/sqrt(12)))**2*-4.
-17500/9
Simplify 6*((-4 + sqrt(99)*-2)**2 - (sqrt(11)*-4*3*-5)**2)*-2 + 5.
-576*sqrt(11) + 470261
Simplify (((-4*-2*sqrt(98))/(sqrt(2)*1*1))/(sqrt(1008)*-3 + 5*sqrt(21)/sqrt(3)))**2.
448/961
Simplify (sqrt(104)*1*4)/(-1*sqrt(800)) + 5 - (-1 + sqrt(78)/(sqrt(18)/sqrt(3)) + sqrt(13) + sqrt(13)*1*-2 + (sqrt(13) - (sqrt(1300) + 1)))**2.
-1052 - 182*sqrt(13)/5
Simplify (-2*(sqrt(156) + sqrt(156)*1 + sqrt(156)))/(sqrt(12) - (-2*sqrt(72) + sqrt(72))/sqrt(6)) + -4 + (sqrt(325) - -2*sqrt(325)) + 2.
-2 + 12*sqrt(13)
Simplify ((-3 + sqrt(275) + 1 - (-3 + sqrt(275)*-1 + sqrt(275)) - (4 + -1 + sqrt(275) + 3)) + 1)**2.
16
Simplify 3 + ((1*sqrt(48) + 0 - (sqrt(48) + 3*sqrt(192))) + 5 + 5)**2*1.
-480*sqrt(3) + 1831
Simplify (0 + 5*((sqrt(117) + (sqrt(117)*-2 - sqrt(117)))*-5)/(sqrt(9) + (sqrt(9) - (sqrt(729)*-1 - sqrt(9))) + sqrt(9)))*-1 + -5.
-50*sqrt(13)/13 - 5
Simplify -1*1*2*(sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) - ((sqrt(180) - (sqrt(180)*-1 + sqrt(180))) + 4))) + -1)**2*-3*-3.
-29322 - 1944*sqrt(5)
Simplify (sqrt(165)/(-2*sqrt(5)*-5))/(sqrt(1100)*1*-4)*-5*-3.
-3*sqrt(3)/80
Simplify 6*((sqrt(165) - -1*sqrt(165)*-1)/(1*sqrt(1584)))/(((sqrt(385)*-1 - sqrt(385))/sqrt(11))/((sqrt(63) + sqrt(7) - sqrt(7) - sqrt(7))*-5)).
0
Simplify ((-3 + -5 + (sqrt(1008) - sqrt(1008)*2) + -3 + sqrt(1008)*-1 + 4)*5 + 2)**2.
7920*sqrt(7) + 101889
Simplify (-5 + -1 + 5*((sqrt(432) - (sqrt(432) + -2 + sqrt(432))) + sqrt(432) - sqrt(432))*5)**2*6*3.
-475200*sqrt(3) + 4894848
Simplify (-2*(2*(sqrt(108)/sqrt(3))/sqrt(6)*-6)/(2*(sqrt(6)/sqrt(2) - sqrt(3)) + (sqrt(135)/sqrt(5))/sqrt(9)))**2.
1152
Simplify (1*(sqrt(48) + sqrt(240)/sqrt(5)))/(sqrt(30)/(-5*sqrt(320) - sqrt(320))).
-192*sqrt(2)
Simplify (-1*sqrt(1375)*1*-3)/(((sqrt(20) - sqrt(80)/sqrt(4)*-2) + sqrt(20))/(-3*-1*sqrt(4))).
45*sqrt(11)/4
Simplify (sqrt(12)/sqrt(32))/(sqrt(75)*-2 + sqrt(3)) - -5*(((sqrt(2) - (3 + sqrt(2))) + -4)**2 + 2).
-sqrt(2)/36 + 255
Simplify ((6*(sqrt(77) + sqrt(77) + ((4*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))))/sqrt(7) + -2 + (sqrt(11) + (0 + sqrt(88)/sqr | {
"pile_set_name": "DM Mathematics"
} |
asing order.
76, -2, -11
Put -0.4, -2/3, -63, 1 in descending order.
1, -0.4, -2/3, -63
Put -4, 3, 56 in ascending order.
-4, 3, 56
Put -4/5, 0.1, 2, 6/5, -2 in increasing order.
-2, -4/5, 0.1, 6/5, 2
Put 1594, 3, 0.3 in descending order.
1594, 3, 0.3
Put 5, -285, -1 in ascending order.
-285, -1, 5
Put -1/4, 3/4, -37/7 in decreasing order.
3/4, -1/4, -37/7
Sort -4, 1, 16, -1 in descending order.
16, 1, -1, -4
Sort 3, 9, -3, -9 in descending order.
9, 3, -3, -9
Sort 1097, 2, -3 in increasing order.
-3, 2, 1097
Put -0.4, -5, 14/75, 0 in descending order.
14/75, 0, -0.4, -5
Put 6, 5, 1, -2 in ascending order.
-2, 1, 5, 6
Sort -2, 0.2, 38 in descending order.
38, 0.2, -2
Put 2/9, 4, 1, 5, 7/4 in increasing order.
2/9, 1, 7/4, 4, 5
Sort 10, -0.2, -2/3, 2/5, 2 in descending order.
10, 2, 2/5, -0.2, -2/3
Sort 0.5, 0.3, 0 in ascending order.
0, 0.3, 0.5
Sort -4, 5, -3, -104.
-104, -4, -3, 5
Sort -83, 7, -1/2 in decreasing order.
7, -1/2, -83
Sort -0.24, -5, 0.5, -0.3 in increasing order.
-5, -0.3, -0.24, 0.5
Sort 22, 5, -5.
-5, 5, 22
Put 1, 5, -54, -4, 4 in increasing order.
-54, -4, 1, 4, 5
Sort -278, 0, -6.
-278, -6, 0
Sort 21, -1, 4, -5.
-5, -1, 4, 21
Sort 5, 3, -12 in decreasing order.
5, 3, -12
Put -5, -0.5, -0.674 in ascending order.
-5, -0.674, -0.5
Sort -3, -30, -17, -0.3 in ascending order.
-30, -17, -3, -0.3
Put 1, -1, -2, -6 in decreasing order.
1, -1, -2, -6
Sort 4, 202, 1, 5 in descending order.
202, 5, 4, 1
Sort 1, 0, -113 in decreasing order.
1, 0, -113
Sort -4, -2, -12, 15, -3 in increasing order.
-12, -4, -3, -2, 15
Sort 0, -19, 27 in descending order.
27, 0, -19
Put 4, -4, 6, 11/3 in ascending order.
-4, 11/3, 4, 6
Sort -0.4, -0.2, -11, -5, 0.
-11, -5, -0.4, -0.2, 0
Sort 1, 2, -618 in decreasing order.
2, 1, -618
Put -28, 0.5, -5 in ascending order.
-28, -5, 0.5
Put -12, -1, 3, -2, 4 in decreasing order.
4, 3, -1, -2, -12
Sort 0.07, -5, -6 in ascending order.
-6, -5, 0.07
Sort 16, 11, -2.
-2, 11, 16
Sort 30, 7, -32 in increasing order.
-32, 7, 30
Put -2/5, 0.03, -14/5 in ascending order.
-14/5, -2/5, 0.03
Sort -0.5, 7, -1/7, -3, 5 in ascending order.
-3, -0.5, -1/7, 5, 7
Sort -2/11, -123/4, 3, -5 in ascending order.
-123/4, -5, -2/11, 3
Put 4, -170, -5 in descending order.
4, -5, -170
Sort 1/6, -9, -4, -17.
-17, -9, -4, 1/6
Put -0.1, 0.3, -2/7, 0.2, -4/3 in increasing order.
-4/3, -2/7, -0.1, 0.2, 0.3
Put 2/5, 18, -2/7, 4 in descending order.
18, 4, 2/5, -2/7
Put 2, -31, -3, 7, 13 in decreasing order.
13, 7, 2, -3, -31
Sort -1/10, 13, -11/5.
-11/5, -1/10, 13
Sort -156, -1, -1/7, -5 in decreasing order.
-1/7, -1, -5, -156
Sort 3/2, 0.2, -5/2, -0.2 in descending order.
3/2, 0.2, -0.2, -5/2
Sort 0.8, -457, -3/4 in increasing order.
-457, -3/4, 0.8
Sort -1/4, 2/5, -2/7 in ascending order.
-2/7, -1/4, 2/5
Sort -0.4, -0.2, 1/5 in decreasing order.
1/5, -0.2, -0.4
Sort -98, 2/9, -2/9 in increasing order.
-98, -2/9, 2/9
Sort 3, -3, -4, -52 in ascending order.
-52, -4, -3, 3
Sort 9, -0.02, -4, 5 in decreasing order.
9, 5, -0.02, -4
Put 4, -1918, -1/8 in increasing order.
-1918, -1/8, 4
Sort -9, 3, -1, -4 in descending order.
3, -1, -4, -9
Sort 465, 5, 1, -5, 2 in descending order.
465, 5, 2, 1, -5
Sort -36, -1, -4 in decreasing order.
-1, -4, -36
Sort -41, -3/5, 2/7 in descending order.
2/7, -3/5, -41
Sort -2/7, 26, -7 in descending order.
26, -2/7, -7
Sort 0, 4, 3, 410 in descending order.
410, 4, 3, 0
Sort -4, 11/65, -3/4, 3.
-4, -3/4, 11/65, 3
Put 443, -18, 4 in increasing order.
-18, 4, 443
Put -1/4, 3, -0.059, -2 in descending order.
3, -0.059, -1/4, -2
Put 14, 8, -4, -3, 5 in decreasing order.
14, 8, 5, -3, -4
Put -5, 4/7, -7 in descending order.
4/7, -5, -7
Sort -5, 5, -1/2, 2, 22 in descending order.
22, 5, 2, -1/2, -5
Put 3/5, 1/11, 1 in descending order.
1, 3/5, 1/11
Sort 0.5, 1, -241, 5/2.
-241, 0.5, 1, 5/2
Sort -1, 0.1, -4, -0.5, -0.2 in descending order.
0.1, -0.2, -0.5, -1, -4
Put -1, 3, 208, 5 in descending order.
208, 5, 3, -1
Sort 1/6, 10, -0.4.
-0.4, 1/6, 10
Put -5, 3, 21, 2/3 in decreasing order.
21, 3, 2/3, -5
Put 19, -2, 0, -1 in decreasing order.
19, 0, -1, -2
Put -1/5, -1/16, 0, -0.5 in descending order.
0, -1/16, -1/5, -0.5
Sort 2/5, 0.031, -4, 2/9.
-4, 0.031, 2/9, 2/5
Put -2, -184, 3 in ascending order.
-184, -2, 3
Sort 3, -4, 2, -3 in ascending order.
-4, -3, 2, 3
Put -3, -2, 1, -1 in increasing order.
-3, -2, -1, 1
Sort 8, 3, -1 in decreasing order.
8, 3, -1
Put -9, -6, -77 in decreasing order.
-6, -9, -77
Sort -1, 9, 144 in ascending order.
-1, 9, 144
Put -370, 0, 1 in increasing order.
-370, 0, 1
Put 24, 5, 3 in ascending order.
3, 5, 24
Sort -1, 5, 16, -5 in increasing order.
-5, -1, 5, 16
Sort 4, 2, 797.
2, 4, 797
Put 6, 3, 2, 8 in decreasing order.
8, 6, 3, 2
Put -4, 2/159, 5/13, 0.4 in decreasing order.
0.4, 5/13, 2/159, -4
Sort 0.1, 2/21, -8/9, 1, -0.5.
-8/9, -0.5, 2/21, 0.1, 1
Sort -4, -620, -2, -3 in increasing order.
-620, -4, -3, -2
Sort -28, 2, -3, 4 in descending order.
4, 2, -3, -28
Put 5, -5, 22 in decreasing order.
22, 5, -5
Sort 2, 16, -5, 66 in decreasing order.
66, 16, 2, -5
Put -4, 4, -3/4, 34 in descending order.
34, 4, -3/4, -4
Sort 96, 26, -5, 3.
-5, 3, 26, 96
Put 8, -29, -2 in increasing order.
-29, -2, 8
Sort 0, 3, 2/9, 7, -6 in increasing order.
-6, 0, 2/9, 3, 7
Sort 11, 5/7, 0.1, 2.
0.1, 5/7, 2, 11
Put 2/65, 3, -4/3 in decreasing order.
3, 2/65, -4/3
Sort -18, 13, -5, 0 in descending order.
13, 0, -5, -18
Put -4, 2/1361, 4 in ascending order.
-4, 2/1361, 4
Put 2, 3, -0.01, 0.3 in increasing order.
-0.01, 0.3, 2, 3
Sort -5, -4, -58, -1/7 in ascending order.
-58, -5, -4, -1/7
Sort 0.06, -5, 0.1, -7, 1.
-7, -5, 0.06, 0.1, 1
Sort 5, 4, 1, 13 in descending order.
13, 5, 4, 1
Put -45, -3/5, 0.2, 0.3, -0.1 in increasing order.
-45, -3/5, -0.1, 0.2, 0.3
Sort -4/5, 1, -0.4, -3/2 in increasing order.
-3/2, -4/5, -0.4, 1
Sort 3, -6, -2/9, -0.1.
-6, -2/9, -0.1, 3
Put 3/4, 5/2, 2, 4 in descending order.
4, 5/2, 2, 3/4
Sort 14, 1, 3, 4 in decreasing order.
14, 4, 3, 1
Put 3/4, -5, -1/3, 0.6, 4/3 in ascending order.
-5, -1/3, 0.6, 3/4, 4/3
Put -4, 3, -0.1, -1/26 in ascending order.
-4, -0.1, -1/26, 3
Sort -4, 4, -7, -2.
-7, -4, -2, 4
Sort -0.24, 4, -0.1, 2/11 in ascending order.
-0.24, -0.1, 2/11, 4
Sort -4, -25, 0, -7 in descending order.
0, -4, -7, -25
Sort 4, -1, -413 in decreasing order.
4, -1, -413
Sort -3, 3, -7, 5.
-7, -3, 3, 5
Sort 5, 2, -2, 11 in ascending order.
-2, 2, 5, 11
Put 0.7, -2, 48, 2/15 in decreasing order.
48, 0.7, 2/15, -2
Put 2, 3, -0.2, -5, 64 in ascending order.
-5, -0.2, 2, 3, 64
Sort -1/3, -2/11, -2551 in ascending order.
-2551, -1/3, -2/11
Sort 3, -4, -2.7, -19, -2 in ascending order.
-19, -4, -2.7, -2, 3
Put 0, -5, 1, -18 in increasing order.
-18, -5, 0, 1
Sort -8, -5/8, -2 in decreasing order.
-5/8, -2, -8
Sort -5, 0, -0.3, 12 in decreasing order.
12, 0, -0.3, -5
Sort -5, 12, 3, -2.
-5, -2, 3, 12
Put 18, -3, 4 in descending order.
18, 4, -3
Put 42, 6, 5 in ascending order.
5, 6, 42
Sort 44, -2/7, 0.5, -3/2 in ascending order.
-3/2, -2/7, 0.5, 44
Put 4, 307, 1 in increasing order.
1, 4, 307
Put 261, 0, -0.5 in decreasing order.
261, 0, -0.5
Put 0, 6, -4 in descending order.
6, 0, -4
Sort 1, -4, 0, 53.
-4, 0, 1, 53
Put -1.83, 4, -2/3, 35, -2/5 in increasing order.
-1.83, -2/3, -2/5, 4, 35
Sort 0.1, -1/3, 1.213.
-1/3, 0.1, 1.213
Sort -18, 4, 1/2 in ascending order.
-18, 1/2, 4
Sort 60, 0.5, 1 in decreasing order.
60, 1, 0.5
Sort -1/3, 1/5, 10, 0.06, 1/11 in increasing order.
-1/3, 0.06, 1/11, 1/5, 10
Put -51, 4, -6, 1, 3 in ascending order.
-51, -6, 1, 3, 4
Put -2, -570, -3 in ascending order.
-570, -3, -2
Sort 4.4, 0.2, 2, -4 in descending order.
4.4, 2, 0.2, -4
Sort 14, -7, -5 in ascending order.
-7, -5, 14
Put -7, -3/5, -0.3, 0.5, -1 in decreasing order.
0.5, -0.3, -3/5, -1, -7
Sort -4, 3, 2 in ascending order.
-4, 2, 3
Sort -1/47, -2/9, 0.1, -2/19 in ascending order.
-2/9, -2/19, -1/47, 0.1
Put 0.8, 1, 33 in increasing order.
0.8, 1, 33
Sort 3, -3, 5, 50.
-3, 3, 5, 50
Sort 0.2, -5/12, -4 in increasing order.
-4, -5/12, 0.2
Put 0, -50, -4, 2 in decreasing order.
2, 0, -4, -50
Sort 2, -6, -683 in descending order.
2, -6, -683
Put 4, -0.05, -5.5 in decreasing order.
4, -0.05, -5.5
Put -4/5, 0.4, -0.4, -11/147 in increasing order.
-4/5, -0.4, -11/147, 0.4
Put 5, -2, 11, 1, | {
"pile_set_name": "DM Mathematics"
} |
*6/24 - d**5/4 - 24*d**2. Factor j(i).
-5*i**2*(i + 3)
Let t(r) = 5*r**2 + 2*r + 7. Let u(f) = -3*f**2 - 6*f + 1. Let q(a) = a - 1. Let z(v) = 5*q(v) + u(v). Let x(n) = -4*t(n) - 7*z(n). Let x(h) = 0. Calculate h.
0, 1
Suppose 5*k = 25, 2*k + 9 - 7 = 2*f. Factor -f*x**3 - 3*x - 3/2 + 21/2*x**2.
-3*(x - 1)**2*(4*x + 1)/2
Let p(o) be the first derivative of 21/4*o**4 + 3/2*o**2 + 9/5*o**5 + 0*o + 5*o**3 + 4. Solve p(r) = 0 for r.
-1, -1/3, 0
Let i(b) be the second derivative of b**5/18 - 4*b**4/27 + b**3/27 + 2*b**2/9 + 3*b. Let i(v) = 0. Calculate v.
-2/5, 1
Suppose f - 6*f = -5. Let a be f + (1 - (-3 - -3)). Let -2/9*k + 0 - 2/9*k**a = 0. What is k?
-1, 0
Factor 0*v**3 - 2/7*v**4 + 2/7*v**2 + 0*v + 0.
-2*v**2*(v - 1)*(v + 1)/7
Factor 2*m**3 - 3*m - m + 4 - 6*m + 4*m.
2*(m - 1)**2*(m + 2)
Let h(l) = l**3 + 15*l**2 + 13*l - 4. Let v be h(-14). Suppose 2*j + 2*q = -0*j + 4, v = 5*j + 2*q. Determine t so that 1/3*t**3 + 2/3*t**j + 0*t + 0 = 0.
-2, 0
Let q be (-135)/756 - (-3)/4. Factor 0 + q*k - 2/7*k**2.
-2*k*(k - 2)/7
Factor 1/3*g**3 + 0*g**2 + 1/3*g**4 + 0 + 0*g.
g**3*(g + 1)/3
Let r(m) = -m**2 + 8*m - 2. Let g be r(6). Factor 9*u**3 + 11*u**3 + 10*u**4 + 3 + 7*u**2 - 1 + 13*u**2 + g*u + 2*u**5.
2*(u + 1)**5
Factor 3/2*l + 3/4*l**2 + 3/4.
3*(l + 1)**2/4
Let h(a) = -7*a**2 + 8*a. Let w(c) = 15*c**2 - 15*c. Let g(q) = -9*h(q) - 4*w(q). Suppose g(l) = 0. Calculate l.
0, 4
Let k(x) be the first derivative of -3 - 1/9*x**3 + 1/18*x**4 - 1/90*x**5 + 1/9*x**2 - 3*x. Let b(h) be the first derivative of k(h). Factor b(w).
-2*(w - 1)**3/9
Let v(h) = h**3 + 16*h**2 + h + 20. Let p be v(-16). Let r be ((-2)/p)/(15/(-10)). Let -1/3 - 1/3*s + 1/3*s**2 + r*s**3 = 0. Calculate s.
-1, 1
Suppose 0 = 4*w + l - 31, -2*l = 4*w - 7*l - 37. Suppose -3*g = -2*k - w, 0 = -2*g + 3*g - 4*k - 6. Factor -n**5 - n**4 + n**3 + n**g + 0*n**5 + 0*n**5.
-n**2*(n - 1)*(n + 1)**2
Suppose -q - 3*w = -5, -q + 3*q - 2 = 2*w. Let a = 25 - 74/3. Factor -n + 2/3 + a*n**q.
(n - 2)*(n - 1)/3
Suppose -10 = -5*o, -o + 2*o = n + 1. Factor n - 1/4*u**2 - u + 1/4*u**3.
(u - 2)*(u - 1)*(u + 2)/4
Let l = 1/820 - -1629/9020. Solve -l + 4/11*p - 2/11*p**2 = 0 for p.
1
Let b(y) = -3*y - 4. Let r = 5 - 8. Let f be b(r). Factor f*c**3 - 4*c**3 + 0*c**3.
c**3
Let f(l) be the third derivative of l**8/672 - l**7/420 - l**6/240 + l**5/120 + 2*l**2. Let f(s) = 0. Calculate s.
-1, 0, 1
Let y be 4 - 4*7/28. Factor -6/5*s - 3/5*s**2 + 0 + 3/5*s**y.
3*s*(s - 2)*(s + 1)/5
Let q = 16/19 + -13/38. Factor 1/4*u + 0 - q*u**2 + 1/4*u**3.
u*(u - 1)**2/4
Suppose 0*j + 1 = j - 2*m, 0 = 4*m - 8. Let q(v) = -4*v**2 + v - 5. Let a(o) = -6*o**2 + o - 7. Let h(u) = j*a(u) - 7*q(u). Determine b so that h(b) = 0.
-1, 0
Let n(h) = -8*h**3 + 20*h**2 - 52*h + 28. Let g(f) = 7*f**3 - 21*f**2 + 51*f - 29. Let i(l) = -4*g(l) - 3*n(l). Factor i(w).
-4*(w - 2)**3
Let f(z) be the third derivative of z**7/7560 - z**6/1080 + z**5/360 + z**4/8 - 2*z**2. Let h(i) be the second derivative of f(i). Let h(c) = 0. What is c?
1
Let s(d) be the first derivative of d**3 - 3*d**2/2 - 15. Determine m so that s(m) = 0.
0, 1
Let u(y) be the second derivative of 2/5*y**5 + 0*y**2 + 0*y**3 + 2*y - 1/6*y**4 + 0. Suppose u(a) = 0. What is a?
0, 1/4
Let i = -20 - -23. Solve -24/5 + 3/5*r**i - 18/5*r**2 + 36/5*r = 0 for r.
2
Let t(q) = -q**3 + 2*q**2 - 1. Let f be t(1). Suppose -j - 3*j + 12 = f. Let 2/5*b + 2/5 - 2/5*b**2 - 2/5*b**j = 0. Calculate b.
-1, 1
Suppose 5*n - j = -55, -6*j + 3*j - 51 = 3*n. Let k = n - -49/4. Factor -1/4*c**2 + 0 - k*c.
-c*(c + 1)/4
Let c = -32 + 67/2. What is r in -7/2*r + c*r**2 + 1 = 0?
1/3, 2
Let t = 4 + 1. Suppose -2*d = 3*w - 18, -t*d = -2*d - w - 5. Determine x, given that 2/5*x + 0 + 8/5*x**2 + 2*x**d + 4/5*x**4 = 0.
-1, -1/2, 0
Let o(n) = -9 + 4*n**4 + 4*n**3 - 3*n**2 + 2*n + 7*n - 6*n**2 + 0*n. Let l(d) = -2*d**4 - 2*d**3 + 4*d**2 - 4*d + 4. Let f(j) = -9*l(j) - 4*o(j). Factor f(a).
2*a**3*(a + 1)
Let r = 3671/3 + -1223. Let v be 3*(2 + 0 - 1). Determine a so that 4/3*a**v + 2/3*a**4 - 4/3*a - r*a**2 + 0 = 0.
-2, -1, 0, 1
Let c(w) = -23*w**2 + 17*w + 6. Let z(b) be the second derivative of -b**4 + 3*b**3/2 + 3*b**2/2 + 4*b. Let i(s) = -3*c(s) + 5*z(s). Factor i(t).
3*(t - 1)*(3*t + 1)
Let a(k) be the third derivative of k**6/480 + k**5/80 + k**4/48 + 6*k**2. Factor a(y).
y*(y + 1)*(y + 2)/4
Let z(l) be the first derivative of -64*l**4 + 64*l**3 - 24*l**2 + 4*l - 15. Factor z(u).
-4*(4*u - 1)**3
Let c be (-157)/(-3) - 1/(-1). Let u = 54 - c. Let 0 - 1/3*p**5 + 0*p**4 + 0*p**2 - 1/3*p + u*p**3 = 0. Calculate p.
-1, 0, 1
Let c = -12 - -16. Let n(z) = -5*z**2 + 6*z - 5. Let j(m) = -1 + 0 - 3 - 4*m**2 + 5*m. Let w(r) = c*j(r) - 3*n(r). Factor w(o).
-(o - 1)**2
Let 3 + 20*j - 121*j**5 - 10*j**4 + 116*j**5 + 40*j**2 + 15*j**3 - 3 = 0. Calculate j.
-2, -1, 0, 2
Let x be (-20 - -4)/4 - -5. Let h be x*(2 - 6/4). Factor 0 + 1/2*d - h*d**2.
-d*(d - 1)/2
Let h(l) = l - 1. Let r(p) = p**2 + 3. Let b = 4 - 1. Let w(k) = -k + 4. Let d be w(b). Let n(s) = d*r(s) + 2*h(s). Find g, given that n(g) = 0.
-1
Let x(g) be the second derivative of -g**4/3 + 4*g**3 - 18*g**2 - 7*g. Factor x(z).
-4*(z - 3)**2
Let g(z) be the first derivative of 0*z**2 + 1/6*z**3 + 3 - 1/2*z. Factor g(l).
(l - 1)*(l + 1)/2
Let v = 16/13 + -86/91. Factor -2/7*f**3 + 2/7*f + 2/7*f**2 - v.
-2*(f - 1)**2*(f + 1)/7
Let v(p) be the second derivative of -p**6/10 + 3*p**5/20 + p**4/4 - p**3/2 + 24*p. Factor v(u).
-3*u*(u - 1)**2*(u + 1)
Let a be (2/(-6))/((-168)/72). Let m(n) be the first derivative of 2/35*n**5 - 2/7*n + a*n**4 - 2 - 2/7*n**2 + 0*n**3. Factor m(b).
2*(b - 1)*(b + 1)**3/7
Let i = -23 + 70/3. Let u(n) be the third derivative of 0 - i*n**4 - 1/30*n**5 - 4/3*n**3 + 0*n - n**2. Suppose u(k) = 0. Calculate k.
-2
Let i be 2 - 24/81*6. Let m(b) be the first derivative of 0*b**3 - 4 + 2/45*b**5 - 1/9*b**4 + i*b**2 - 2/9*b. Determine r so that m(r) = 0.
-1, 1
Let f(g) be the second derivative of g**6/300 + 3*g**5/200 - 2*g - 28. Factor f(n).
n**3*(n + 3)/10
Let k(p) be the second derivative of p**7/42 - 7*p**6/30 + p**5/4 + 7*p**4/12 - p**3 + p - 3. Factor k(y).
y*(y - 6)*(y - 1)**2*(y + 1)
Let y(k) be the first derivative of k**3/21 + 2*k**2/7 - 5*k/7 + 15. Solve y(b) = 0.
-5, 1
Let p = -1/5 - -19/45. Let t(m) be the first derivative of p*m**3 + 0*m + 2 + 2/3*m**2. Determine j so that t(j) = 0.
-2, 0
Let z(s) be the first derivative of s**3/9 - s**2/3 + s/3 - 17. Factor z(a).
(a - 1)**2/3
Let r(p) = -6 - 1 + 7*p**2 + 1 - 5*p**2 - 4*p. Let o = 9 + -5. Let g(q) = -5*q**2 + 8*q + 13. Let t(a) = o*g(a) + 9*r(a). Factor t(m).
-2*(m + 1)**2
Let g(m) be the first derivative of -m**6/180 + m**5/30 + 4*m**3/3 + 9. Let d(v) be the third derivative of g(v). Determine r, given that d(r) = 0.
0, 2
Let v = -130 + -1. Let n = -1177/9 - v. What is k in n*k**2 - 2/9*k + 0 = 0?
0, 1
Let b = 9 + -7. Let a be (-6)/(-10) - (-1 + 0). Factor -6/5*x**b - 2/5 - a*x.
-2*(x + 1)*(3*x + 1)/5
Let m(n) be the third derivative of n**5/20 + 13*n**4/4 + 169*n**3/2 - 20*n**2. Let m(j) = 0. What is j?
-13
Let p(z) be the third derivative of z**8/112 - z**7/70 - z**6/40 + z**5/20 + 27*z**2. Find a such that p(a) = 0.
-1, 0, 1
Let g(j) = -j + 6. Let q be g(5). Let r(m) = m**3 - m**2 - m. Let f(t) = -18*t**3 + 6*t**2 + 6*t - 3. Let y(l) = q*f(l) + 15*r(l). Factor y(b).
-3*(b + 1)**3
Let x(y) be the first derivative of y**3/2 + 8. Factor x(k).
3*k**2/2
Let m(i) be the first derivative of -3*i**5/25 + 3*i**3/5 - 3*i**2/5 + 38. Determine c, given that m(c) = 0.
-2, 0, 1
Let g(j) be the second derivative of 7*j + 0 + 0*j**2 + 2/21*j**3 - 1/14*j**4 + 0*j**5 + 1/105*j**6. Factor g(y).
2*y*(y - 1)**2*(y + 2)/7
Let t(n) be the second derivative of 0 + 9*n - 2/3*n**3 - 1/42*n**7 - 13/20*n**5 - n**4 + 0*n**2 - 1/5*n**6. What is u in t(u) = 0?
-2, -1, 0
Let o(j) be the second derivative of -j**6/135 - j**5/30 - j**4/27 + 8*j. Suppose o(i) = 0. What is i?
-2, -1, 0
Let w(v) be the second derivative of v**6/150 + v**5/25 - 8*v**3/15 + 3*v**2/2 - 3*v. Let u(j) be the first derivative of w(j). Factor u(z).
4*(z - 1)*(z + 2)**2/5
Let x(t) = 9*t**3 - 17*t - 3. Let n(q) = -5*q**3 + 9*q + 1. Let w(g) = 10*n(g) + 6*x(g). Factor w(y).
4*(y - 2)*(y + 1)**2
Let n(z) be the third derivative of z**6/200 - z**4/40 - | {
"pile_set_name": "DM Mathematics"
} |
- r. Let n be (-1)/2 + (-6)/(-4). Let a be j(n). Suppose 0 = -3*p + 15, -a*i - p + 32 = 3*p. Is i composite?
True
Let u(w) = w**3 + 9*w**2 + 7*w - 5. Let x be u(-8). Suppose 0 = -x*a - 0*j + 5*j - 2, 0 = 4*a - j + 14. Is (a/12)/((-2)/222) a prime number?
True
Suppose -5*g + 25 = -2*k, 3*g - 3*k - 25 = -2*g. Suppose -g*t + 924 + 31 = 0. Is t a composite number?
False
Let h(w) = -4*w - 13. Let c(o) = -17*o - 53. Let r(s) = -2*c(s) + 9*h(s). Is r(-9) composite?
False
Let x(q) be the third derivative of q**5/20 + 3*q**4/8 + 5*q**3/6 - 2*q**2. Is x(-9) composite?
False
Let v = -8 + 3. Let f(m) = -7*m**2 - 6*m + 11. Let c(p) = -p**2 - p + 1. Let a(x) = 5*c(x) - f(x). Is a(v) a prime number?
False
Let o(k) = 2*k**3 + 5*k**2 - 4*k + 1. Let b be o(3). Suppose -b - 637 = -5*u. Is u composite?
True
Let h(u) = 15*u - 1. Is h(8) composite?
True
Let d(j) = -j**2 - 5*j - 3. Let m be d(-3). Let x(z) = z**3 - 3*z + 1. Is x(m) prime?
True
Let x(q) = 3*q - 6*q - 6*q + 2*q**2 + 2. Let n(f) = f + 7. Let h be n(0). Is x(h) composite?
False
Suppose -5*g + 4253 = h, 3*g = -4*h + 1736 + 809. Is g a prime number?
False
Let a = 4996 + -2537. Is a a prime number?
True
Let m be -1 + 1 + (-5)/(-1). Suppose -p + 85 = 5*c - 662, -5*c = m*p - 755. Is c composite?
False
Suppose 2*x - x = 0. Suppose -2*i + 44 = -x*i. Is i composite?
True
Let y = 16 - 11. Let r(x) = -x + 7. Let d be r(y). Suppose -19 = -d*b + 27. Is b prime?
True
Let h(x) = -6*x + 49. Is h(-7) composite?
True
Let o(k) = k**3 + 5*k**2 + 2*k - 2. Let n be o(-3). Suppose 4*b + 82 = -n. Let q = 37 + b. Is q a composite number?
True
Let y = 1776 + 3395. Is y a prime number?
True
Let g = 148 - -275. Suppose -2*q = q - 3*f - g, 2*f = 4. Is q prime?
False
Let b(l) = -9*l - 2. Let w(m) = -8*m - 1. Let c(x) = 2*b(x) - 3*w(x). Suppose 2*a = 4*a - 4. Is c(a) a prime number?
True
Suppose n = 2*n + 4. Is n/(-22) - (-5580)/44 a prime number?
True
Is 788*-2*15/(-24) prime?
False
Let p = 7 + -11. Let u(t) = 4*t**2 + 7*t + 6. Let f be u(p). Suppose -2*c + f + 284 = 0. Is c a composite number?
False
Let k = 15 - 11. Suppose 2*j + k*u = -j + 20, u - 5 = j. Suppose j = -s + 5*d - 3, -3*d + 0*d - 22 = -4*s. Is s a composite number?
False
Let c(l) = -l**3 - 2*l**2 + 10*l + 8. Is c(-5) a prime number?
False
Suppose 4*i = 20, i - 3*i = 5*c - 1500. Is c composite?
True
Let r(v) = 5*v**2 + v + 11. Is r(-8) composite?
True
Let x(o) = -130*o + 41. Is x(-9) a prime number?
False
Is 3/((4/(-8))/((-1174)/12)) prime?
True
Let v(d) = -d - 6. Let r be v(-4). Is (-3 - (r - 264)) + 2 composite?
True
Suppose 2*o = -o - 4*l + 11701, 2*l = -10. Is o composite?
False
Suppose 8 = 3*v - 121. Is v a prime number?
True
Let m = -7 - -1. Let f = 9 - -6. Is m/f + (-374)/(-10) composite?
False
Suppose 150 = -2*o - o. Let j(b) = b**3 - 8*b**2 + 10*b - 9. Let c be j(8). Let d = c + o. Is d composite?
True
Let i(c) = -41*c - 20. Let y be i(-14). Let n = y + -337. Is n composite?
True
Is 179*(3 + -1 + -1) a composite number?
False
Suppose 120 = -7*b + b. Let l be -1 - (-1 + -42) - 1. Let z = b + l. Is z a prime number?
False
Let d(t) = t**2 - 8*t - 6. Let l be d(9). Suppose -4*b + l*m - 5*m + 2302 = 0, 1 = -m. Suppose 5*a = -181 + b. Is a composite?
False
Let c(d) = -6 - 2*d**2 + 6 - d**3. Let p be c(-2). Suppose 0*b + 2*b - 66 = p. Is b a prime number?
False
Let v(u) be the first derivative of -23*u**2/2 + 4. Is v(-5) composite?
True
Let t(j) be the first derivative of j**4/4 + 3*j**3 - 9*j**2/2 + 5*j + 2. Is t(-7) a composite number?
True
Let z(t) = t**3 - 3*t**2 + 4*t - 2. Let a be z(2). Suppose -5*d - 3 = -0*d + f, a*f + 6 = d. Suppose 3*o - 2*r - 505 + 116 = 0, -r + 2 = d. Is o prime?
True
Let c(l) = l**3 - 3*l**2 - 9*l - 7. Let o(k) = -2*k**3 + 7*k**2 + 18*k + 15. Let s(g) = -13*c(g) - 6*o(g). Is s(-6) a composite number?
True
Let g(r) = 31*r - 6. Let c be 2/(-5) - (-4)/10. Let a be -1 + 8 + (0 - c). Is g(a) prime?
True
Suppose -2*p = x + x - 16, -x + 20 = 4*p. Suppose -p*k + 340 = -184. Is k a prime number?
True
Let j(h) = 4*h**2 - h. Let r be j(1). Suppose -d = -3, r*f + 15 = -0*f + 4*d. Is (4*12 - 0) + f prime?
True
Let b(d) = 2*d**2 - 2*d - 3. Is b(-4) composite?
False
Suppose -2*v = -3*s + 16, s - 3*v + 3 = 13. Suppose 7 - 163 = -s*d. Is d composite?
True
Suppose 21 = -3*m + 3. Let j = -4 - m. Suppose i + 252 = 5*i + j*q, 0 = 3*i + 5*q - 175. Is i a composite number?
True
Let k = -3 - -6. Suppose -k*g = -0*g. Suppose -b - b + 158 = g. Is b prime?
True
Suppose -2*v - 3*v = -25. Suppose 28*y - 29*y + 131 = 0. Suppose k - 4*k + 151 = v*w, -3*k + 5*w + y = 0. Is k a composite number?
False
Suppose l = 4*p - 320, -4*l = 5*p - 2*l - 387. Is p prime?
True
Let c(w) = -w**3 + 5*w**2 + 5*w - 4. Let k be 3/(-6)*-8 - -1. Is c(k) composite?
True
Let d be -70*(-3)/6*7. Suppose 2*h = 5*s + 215 + d, 5*s = -h + 200. Let q = h - 141. Is q a composite number?
False
Let y(q) = q + 3. Is y(6) a prime number?
False
Let m be (-33)/2*(-16)/(-24). Let g = 7 + m. Let s(y) = 3*y**2 - 6*y - 5. Is s(g) a composite number?
False
Let f(z) = -z**3 + 2*z**2 - 3*z + 2. Let q be f(-4). Suppose 9*p + 365 = 14*p. Let t = q - p. Is t prime?
True
Let a(l) = l - 3. Let k be a(3). Let p(i) = -3 + k*i**2 + 0 + 6*i**2. Is p(-3) composite?
True
Is (1 + -2)*2 - (-564 + -11) a prime number?
False
Let y(b) = -b + 210. Let t be y(0). Let x = t - 138. Let p = x + -51. Is p a composite number?
True
Suppose 0 = -0*p + 4*p + 3*d - 1436, 3*p + 4*d - 1077 = 0. Is p composite?
False
Let h = -23 - -16. Is (-359)/h + 4/(-14) composite?
True
Suppose -3*l - 2*a = -2*l - 4223, 5*l - 2*a - 21055 = 0. Is l a prime number?
False
Let c(s) = 38*s**2 - 6*s + 7. Is c(3) a prime number?
True
Let t = 7 - 4. Suppose -t*i = -2*i - 47. Is i a prime number?
True
Let w(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let q be w(1). Is (106/(-6))/(q/(-3)) a prime number?
True
Let y be (1 - 0)/((-2)/(-10)). Suppose -l = -0*l + 2*i - 191, y*i = 10. Is l composite?
True
Let x be (2*-3)/3 - -2. Suppose m = 3*g - 13, x = -4*g - m + 24 - 2. Suppose -18 = -g*o + 3*j + 104, -o = j - 18. Is o a composite number?
True
Let n be ((-2)/(-1))/2*46. Suppose -k - n = 126. Let b = -93 - k. Is b a prime number?
True
Suppose 2*l + l = 5*q + 1715, 5*q + 20 = 0. Is l composite?
True
Let j be (-2)/(-3) - 12/18. Suppose 3*l + 2*l - 10 = j. Suppose 2*x + 434 = l*q, 0 = -x + 6 - 2. Is q composite?
True
Suppose 3673 + 2962 = 5*o. Is o composite?
False
Let t(u) = u**3 + 6*u**2 + 4*u + 6. Suppose 2*k = -3*v + k + 32, 2*k + 68 = 5*v. Let w = 7 - v. Is t(w) composite?
False
Let q be (9/(-12))/(1/(-84)). Let p = q - -60. Let f = p - 4. Is f a composite number?
True
Suppose 0 = -5*x + p - 7, -8 = p - 5*p. Let w = 34 - x. Is w prime?
False
Let u(f) be the second derivative of 55/6*f**4 + 1/3*f**3 - 2*f + 1/2*f**2 + 0. Is u(-1) a composite number?
False
Suppose -3902 + 449 = -3*s. Is s a composite number?
False
Let s(p) = 14*p - 3. Suppose 4*c - 18 = 2. Is s(c) a composite number?
False
Let t = 308 - -213. Is t composite?
False
Let t(b) = -b**3 - 11*b**2 - 10*b + 4. Let s be t(-12). Suppose -4*d - 137 = -3*d. Let m = s + d. Is m prime?
True
Let m(b) = 4871*b**2 - 2*b + 2. Is m(1) composite?
False
Let w(i) = -105*i + 1. Let j(z) = -z. Let t(h) = -3*j(h) - w(h). Is t(4) composite?
False
Suppose 4*h - 8*o - 11235 = -5*o, -2814 = -h - o. Is h a prime number?
False
Let b(l) = -10*l**3 - 4*l**2 - 4*l - 2. Let c be b(-3). Let y = -41 + c. Is y a prime number?
False
Suppose -4*t = -33 - 15. Let a = -7 + t. Suppose -j - a = -42. Is j a composite number?
False
Let t = 2514 - 857. Is t composite?
False
Let b be 2 - 101/(-2)*4. Let l = b - -113. Is l prime?
True
Let r(c) = c**2 + 2*c - 3. Let w be r(2). Suppose -g - 2 + w = 0. Suppose 0 = -g*u + 23 + 88. Is u a composite number?
False
Suppose 202 = 3*o + o - 2*a, 5*a + 81 = 2*o. Is o composite?
False
Let i(c) be the first derivative of 4*c**3/3 - 2*c**2 - 5*c - 2. Is i(7) a prime number?
True
Let o(z) be the third derivative of 41*z**4/24 - 5*z**3/6 - 6*z**2. Is o(4) prime?
False
Let s(z) = -3*z + 6. Let h = 4 + 0. Suppose -h*k - 18 = -2*k. Is s(k) a composite number?
True
Suppose 5*f + 5*c = 1135, -2*f - 4*c = 155 - 619. Let v = f + -108. Let a = v - 37. Is a a prime number?
False
Let b be 4/6 + (-25)/(-3). Let n = b - -1. Is n + 2/ | {
"pile_set_name": "DM Mathematics"
} |
k**2).
-6414*k**3
Expand 3*d**3 - 2*d**3 - 4*d**3 + (0*d**3 - d**3 - 2*d**3)*(15 - 30 - 68).
246*d**3
Expand (14*j**2 - 24*j**2 + 110 + 6*j**3 - 112 + 4*j**5)*(5 + 1 - 4).
8*j**5 + 12*j**3 - 20*j**2 - 4
Expand (0 - 3 + 1)*(-4*l**3 + 4*l**3 - 2*l**3) + 3*l**3 + 4*l**3 - 5*l**3 + 0*l**3 + l**3 - 2*l**3 + l - 30*l**3 + l + 12*l**3.
-13*l**3 + 2*l
Expand (-270 + 270 - 3*y)*(-50*y + 1 - 3 + 26*y).
72*y**2 + 6*y
Expand (-3*t + 0 + 0 + 1)*(-6 + 5 - 3)*(-1701 - 579 - 1236 + 377).
-37668*t + 12556
Expand (-2 + j - 3*j**2 + 2 + (4 - 4 - j)*(-2*j + 3 - 3))*(605*j + 650*j - 253*j + 699*j).
-1701*j**3 + 1701*j**2
Expand -4*w - 2578 - 4*w**2 + 2578 + (w + w**2 - w)*(5 - 3 - 3) + w**2 + 2*w**2 - 5*w**2.
-7*w**2 - 4*w
Expand (-2*q**3 + 5*q**2 - 5*q**2)*((0 + 0 - q**2)*(-3 + 3 - 1) + 5*q**2 + 0*q + 0*q - 7*q**2 + 11*q**2 - 63*q**2).
106*q**5
Expand 54*g**5 - 99*g**5 - 653*g**5 + (-3*g**3 + 5*g**3 + 0*g**3)*(2*g**2 + 2*g - 2*g) + g**5 + g**5 - 4*g**5.
-696*g**5
Expand (-x - 2*x + x)*(4 - 2 + 0)*(-471 - 2*x + 471)*(8 - 4 + 6 + (0 + 4 - 3)*(-6 + 2 + 2))*(0*x**3 - 4*x**3 + 2*x**3).
-128*x**5
Expand 0*z**5 + 2*z**5 - z**5 + (-z + z + 2*z)*(-z**4 - z**4 - 2*z**4) + 5 - z**5 - 5 + 5*z**4 + z**5 - 5*z**4 + z**5 - z + z - 54*z**5 + 15*z**5 - 37*z**5.
-82*z**5
Expand (1 - 5 + 3)*(b**5 + 4*b**5 + b**5) - 13*b**5 - 55*b**2 + 55*b**2 + (-4*b**4 + b**4 + 2*b**4)*(-b - 5*b + 5*b) - b**5 + 5*b**5 - b**5.
-15*b**5
Expand -g + 2*g - 2*g + (5*g - 4*g + 0*g)*(4 - 2 - 3) - 687*g - 347*g + 2596*g + 4453*g.
6013*g
Expand (2 + 3 + 2*c - 3)*(-90 + 95 + 72)*(8*c + 3*c - 4*c).
1078*c**2 + 1078*c
Expand j**4 + 0*j**3 + 0*j**3 + (-3*j + 3*j - 2*j**3)*(-j - j + 4*j) + (12*j**3 + 4*j**3 + 0*j**3)*(12 - 12 + 311*j).
4973*j**4
Expand (-1641*b**4 - 1664*b**4 - 228 - 3*b + 3307*b**4)*(-3*b + 3*b - b).
-2*b**5 + 3*b**2 + 228*b
Expand -6*b + 4*b - b + (-3 - 4 + 6)*(b - 3*b + b) + 1648*b - 114861 + 114861.
1646*b
Expand (q**2 - 2 + 2)*(-2*q**2 + q**2 + 3*q**2)*(-2053 + 5824*q + 6046 - 5825*q).
-2*q**5 + 7986*q**4
Expand -410068 + 2137*n + 410068 + (-2*n + 0 + 0)*(2 + 0 + 0).
2133*n
Expand (-106*s**2 - 4*s + 10*s + 139*s**2)*(-21 - 6*s + 21)*(0 - 2 + 0 - s).
198*s**4 + 432*s**3 + 72*s**2
Expand (-2*s + 5*s - s)*(-s + s + s)*(s - 2*s + 2*s)*(93860 - 93860 - 8067*s).
-16134*s**4
Expand -494*s**3 - 1088*s**3 + 414*s**3 + s**3 + s - s + 2*s**3 + 5*s - 5*s - 4*s**3 - 3*s**3 + 5*s**3 + (-4*s - s + 3*s)*(2*s**2 - 3 + 3).
-1171*s**3
Expand 6*x**3 + 3*x**3 + 0*x**3 + (-3 - 2 + 6)*(-21*x**3 - 31*x**3 + 17*x**3).
-26*x**3
Expand (-342*y**3 - 143*y**3 - 7*y**3)*(-3*y**2 - 5*y**2 + 3*y**2) + y**2 + y**5 + y**5 + 0*y**2.
2462*y**5 + y**2
Expand (-g**4 + 5*g**4 - 5*g**4 + ((g + g + 0*g)*(-4*g + g + 2*g) + 4*g**2 - 4*g**2 - 2*g**2)*(0 - 5 + 3)*(-47*g + 85*g**2 + 47*g))*(2 - 2 + 8*g).
5432*g**5
Expand (2404 + 2*m - 1549 + 1476)*((0*m**2 + 3*m**2 - 5*m**2)*(2*m + 0*m + 0*m) + m**3 - 3 + 3 - 2*m**3 + 3*m**2 - 3*m**2).
-10*m**4 - 11655*m**3
Expand (5*s - 3*s + 2*s)*(3*s**2 - 5*s**2 + 3*s**2) + 0*s**3 + 5*s**3 - 4*s**3 + (-4110 + 4110 + 77*s)*(1 - 3*s**2 - 1 + (-3*s + 2*s + 4*s)*(1 - 1 - 3*s)).
-919*s**3
Expand 2*n**4 + 2*n**4 + 3*n**4 + (2*n**3 - 9*n**3 + 13*n**3)*(1 - 2*n - 1) - 3*n**4 - 4*n**4 + 6*n**2 - 7*n**2.
-12*n**4 - n**2
Expand 7779*s**2 + 55655*s - 55655*s + (-4*s - 4*s + 4*s)*(-s - 3*s + 2*s) + s - s**2 - s.
7786*s**2
Expand (-39 + 3*s + 39)*(5 - 1 - 3)*(2*s**4 - 35*s**4 + 295*s**4).
786*s**5
Expand 38*w**2 - 12*w + 13*w**3 - 36*w**2 + 14*w + (-9*w**2 + w**2 + w**2)*(-w - w + 4*w) - 4*w**3 + 2*w**2 - 2*w**2.
-5*w**3 + 2*w**2 + 2*w
Expand -v**2 - 1 + 1 + v**2 + 2*v**2 - v**2 - 2*v**2 + 2*v**2 - 2*v**2 + (v - v + v)*(-2*v + 2*v + v) + 0*v + 2*v**2 + 0*v + v**2 + 5*v**2 + 7*v**2 + v**2.
16*v**2
Expand (4*n - 4*n - n**2)*(1881*n + 1978*n - 3473*n).
-386*n**3
Expand (-2*a + 2*a + a)*(6 - 1 + 20)*(-14 + 56 + 32).
1850*a
Expand (115 + 112 - 230)*(7*q - 3*q + 0*q) + (3 + 3 - 3)*(2*q - q + 0*q - q + 3*q + 0*q + (-3 + 3 - 2*q)*(3 + 0 - 4) - q + 6*q - 3*q).
9*q
Expand (-241 - 217 + 481)*(-4 - s + 4)*(-25 + 29 + 19).
-529*s
Expand ((2 - 2 - 2*w)*(-5*w + w + 5*w) + w**2 - 5*w**2 + 3*w**2 - 13*w + 13*w - 18*w**2)*(3*w - 3*w + 2*w**2).
-42*w**4
Expand (67*m - 23*m - 34*m)*(-190 - 155 + 78).
-2670*m
Expand (-108*z**2 + 73*z**2 + 62*z**2)*(2 - 2 + 2*z)*(2 - 2 + 3*z**2).
162*z**5
Expand (-52*f + 36*f - 54*f)*(15*f**4 - 11*f**4 - 15*f**4 + (f + 0*f + 0*f)*(-f**3 + f**3 + 2*f**3) - 4*f**4 + f**4 + 2*f**4).
700*f**5
Expand (9 + 25 - 6)*(-j - 4*j + 2*j + (-2*j + 2*j - j)*(-2 - 2 + 2) - 7 + 7 - 5*j).
-168*j
Expand (3*f + 2*f - 7*f)*(-1 + 5 - 2)*(62 - 1612 + 455).
4380*f
Expand (5*f + 9*f + 6*f)*(-f**3 - 7 + 7)*(12 - 9 + 11).
-280*f**4
Expand (3*p - 5*p + 4*p)*(6 - 3 - 4) - 6*p + 5*p - 9*p + (-3*p + p + 4*p)*(-24 - 4 + 44).
20*p
Expand ((-108 + 130 - 105)*(1 - 1 + 2) + 3 - 1 - 4)*(4*g + g - 2*g).
-504*g
Expand (0 + 2 - 1)*(2*q - 3*q + 2*q) + (324 + 13*q - 324)*(-45 + 3 - 3 + 4 - 4 + 2 + (-1 + 2 + 1)*(1 + 3 - 3) + 0 + 5 - 3)*(-6 + 2 + 2).
1015*q
Expand ((1 + 1 + 1)*(5 - 1 - 3) + 0 + 6 + 0)*(-243*b**2 + 123*b**2 + 122*b**2 - 46 + 3*b)*(-2 + 3 - 2)*(3 + 1 - 3).
-18*b**2 - 27*b + 414
Expand (-5 - 2*o + 5)*(-2 + 0*o - 2 + 3*o)*(15*o**2 - 10*o + 15*o - 30*o**2).
90*o**4 - 150*o**3 + 40*o**2
Expand ((-5 + 2 + 4)*(13 - 3 + 11) + (-2 + 1 + 0)*(-1 + 4 - 2) - 1 + 1 + 2)*(-3*h + 3*h + h**2).
22*h**2
Expand (-3*m + 3*m - 2*m)*(-35020 + 35020 - 2131*m).
4262*m**2
Expand -n**3 - 3*n**3 + 5*n**3 + (2*n**3 - n**2 + n**2)*(2 - 3 + 0) + (2*n**2 - 4*n**2 + 4*n**2)*(0 - 2*n + 0) + (14 + 7 - 13)*(-20*n**3 + 379*n - 379*n).
-165*n**3
Expand 2*v - 2*v + 3*v**3 + (161 - 147 + 326)*(-3*v + 2*v - v)*(-v**2 - v**2 + 0*v**2).
1363*v**3
Expand (196186 - 590*t - 196186)*(0 + 0 + 1) - 5*t + 0*t + 10*t.
-585*t
Expand -9 - 8*s**3 + 9 + (s**2 + 5*s**2 - 4*s**2)*(5*s - 5*s + s) + 0 + 0 - s**3 + s**3 - 3*s**3 - s**3 + 5*s**3 + s - s.
-5*s**3
Expand -1696*j + 1689*j + 11*j**5 + 52*j**5 + (0*j**3 + 2*j**3 - 5*j**3)*(-2*j**2 - j**2 + 2*j**2).
66*j**5 - 7*j
Expand (0 + 6 - 2 + 9 - 7 + 8 + (1 - 3 + 1)*(-4 + 3 + 2))*(4 + 3 - 4)*((11 + 0 - 4)*(-4*u + 0*u + 3*u) + 3*u + 0*u + 0*u).
-156*u
Expand (17 - 11*b - 17)*(3*b**3 + 4*b**3 - b**3).
-66*b**4
Expand (4*a**2 - 5*a**2 - a**2)*(-346*a**3 - 264*a**3 - a**2 + 142*a**3).
936*a**5 + 2*a**4
Expand (7*o + 6*o - 11*o)*(3*o**4 - 4*o**4 - o**4) - 124*o**5 + 609*o**5 + 413*o**5.
894*o**5
Expand (4*k**2 + 2*k**3 - 4*k**2)*(-12436*k - 2838294 + 2838294).
-24872*k**4
Expand (29 + 500 + 5080 + 1337)*(0 + 2*p + 0).
13892*p
Expand ((0 + 6 - 2)*(-j + 0*j - 3*j) + 2 - 2 - 2*j)*(-246 + 246 + 164*j**2).
-2952*j**3
Expand (5 - 5 - 2)*(4 - 2 - 1)*(-10*j**2 - 13*j**2 + 2*j**2) + 130*j**2 - 94*j**2 + 37*j**2.
115*j**2
Expand -w**3 - w**3 + w**3 + (1 - 2 + 3)*(-w**3 + 3*w**3 - 4*w**3) - w + w - 3*w**3 + (-141*w**2 + 141*w**2 + 118*w**3)*(4 + 2 - 3).
346*w**3
Expand -3*l + 6*l - l + (-6 - 1 + 46)*(-46 + 46 - 10*l).
-388*l
Expand -70*t**3 - 53*t**3 + 2 + t**2 + 83*t**3 + (2*t + 2*t - t)*(-5*t**2 - 3*t**2 + t**2).
-61*t**3 + t**2 + 2
Expand (-9*o + 1403 - 1403)*(-2*o**2 + 2*o**2 - 3*o**4 - 6*o**4 - 2*o**2 + 2*o**2 + (-3*o**3 + 3*o**3 + o**3)*(o + 4*o - 3*o) + 5 + 3*o**4 - 5).
36*o**5
Expand (-4*o + 0*o + 0*o)*(1555 - 1555 + 15*o)*(2*o - 2*o**3 - 2*o).
120*o**5
Expand (0*p**2 + 2*p**2 - 3*p**2)*(10114 + 11496*p - 3372 - 3374 - 3368).
-11496*p**3
Expand (-188 + 92 + 60*s + 109)*(-1 + 1 + 2*s).
120*s**2 + 26*s
Expand (-3*t**2 + 6 - 6)*(18 + 21 + 3)*(2*t + 1 - 1) + 38 + 3*t**3 - 36 + 0*t**3.
-249*t**3 + 2
Expand (0*t**2 - 2*t**2 + 3*t**2)*(-10 + 83 + 300)*(-1 + 3 - 1)*(0*t - 3*t + t).
-746*t**3
Expand (-6*n**2 - 2*n**3 + 2*n**2 + 3*n**2)*(-91*n - 295833 + 295833).
182*n**4 + 91*n**3
Expand 1 - 315*h**2 + 315*h**2 + 257*h**3 + 3*h**3 + 18 - 14 - 5*h**3 + h**3 + h**3 + 0*h**3 + (2 + 1 - 4)*(-4*h**3 + 3*h**3 + 3*h**3) + h**3 - h**3 + h**3.
256*h**3 + 5
Expand -3*u**4 - 3*u**4 - 2*u**4 - 116*u**4 - 6*u + 4*u + 109*u**4 + (-2*u - 5*u + 3*u)*(-2*u**3 + 2 - 2).
-7*u**4 - 2*u
Expand (-2*c + 1 - 1)*(-2*c + 2 - 2) + 2*c - 2*c - c**2 - 239*c**2 + 237*c**2 + 378*c + 470*c.
c**2 + 848*c
Expand 87*x - 58*x - 55*x + 2*x**5 + (4*x**5 - x**5 - x**5)*(-5 + 4 + 0) + 5*x**4 - 3*x**5 - 5*x**4.
-3*x**5 - 26*x
Expand (24*v**3 + 31*v**3 - 12*v**3 + (-3*v + 3*v + v**2)*(v + | {
"pile_set_name": "DM Mathematics"
} |
94*u - 89585
What is the q'th term of -248319, -248328, -248341, -248358?
-2*q**2 - 3*q - 248314
What is the w'th term of -2819, -9427, -20431, -35831, -55627?
-2198*w**2 - 14*w - 607
What is the c'th term of -3413, -4716, -5985, -7220, -8421, -9588?
17*c**2 - 1354*c - 2076
What is the a'th term of 1847, 14561, 48987, 115973, 226367?
1808*a**3 + 8*a**2 + 34*a - 3
What is the j'th term of -1267457, -5069827, -11407111, -20279309, -31686421, -45628447?
-1267457*j**2 + j - 1
What is the b'th term of -1700610, -3401293, -5101976, -6802659?
-1700683*b + 73
What is the k'th term of 5541, 24347, 55673, 99513, 155861, 224711, 306057?
-k**3 + 6266*k**2 + 15*k - 739
What is the f'th term of 16, -25, -114, -251, -436, -669, -950?
-24*f**2 + 31*f + 9
What is the w'th term of 3869, 8109, 12337, 16553, 20757, 24949?
-6*w**2 + 4258*w - 383
What is the w'th term of -917, -1147, -1561, -2171, -2989, -4027, -5297, -6811?
-2*w**3 - 80*w**2 + 24*w - 859
What is the w'th term of 327905, 328057, 328473, 329285, 330625, 332625, 335417, 339133?
22*w**3 - 2*w + 327885
What is the m'th term of -112202, -145024, -177860, -210716, -243598, -276512, -309464, -342460?
-m**3 - m**2 - 32812*m - 79388
What is the o'th term of 419718, 838113, 1256508, 1674903, 2093298, 2511693?
418395*o + 1323
What is the j'th term of 704524836, 704524835, 704524834?
-j + 704524837
What is the i'th term of 3680, 5871, 8066, 10265?
2*i**2 + 2185*i + 1493
What is the i'th term of -1616, -3619, -5996, -8753, -11896, -15431?
-i**3 - 181*i**2 - 1453*i + 19
What is the s'th term of 1588, 8014, 19274, 35374, 56320?
s**3 + 2411*s**2 - 814*s - 10
What is the d'th term of 28831974, 28831972, 28831970?
-2*d + 28831976
What is the i'th term of 1422, 1775, 2364, 3183, 4226, 5487?
-i**3 + 124*i**2 - 12*i + 1311
What is the o'th term of -4666, -8832, -12998?
-4166*o - 500
What is the u'th term of -26672, -214784, -725720, -1720892, -3361712?
-26902*u**3 + 202*u + 28
What is the d'th term of 213187, 212827, 212467?
-360*d + 213547
What is the c'th term of 10651, 22900, 35137, 47356, 59551, 71716?
-c**3 + 12256*c - 1604
What is the m'th term of -4674, -5343, -6460, -8025, -10038, -12499?
-224*m**2 + 3*m - 4453
What is the f'th term of 3276, 6575, 9960, 13473, 17156, 21051?
7*f**3 + f**2 + 3247*f + 21
What is the b'th term of -11091, -10972, -10753, -10434?
50*b**2 - 31*b - 11110
What is the n'th term of -6487263, -6487262, -6487261, -6487260?
n - 6487264
What is the o'th term of 84154577, 84154575, 84154573, 84154571, 84154569, 84154567?
-2*o + 84154579
What is the u'th term of 22179, 44255, 66273, 88233?
-29*u**2 + 22163*u + 45
What is the y'th term of -67486, -269820, -607042, -1079152, -1686150, -2428036?
-67444*y**2 - 2*y - 40
What is the z'th term of -1353291, -2706580, -4059867, -5413152, -6766435?
z**2 - 1353292*z
What is the d'th term of 8857, 8780, 8773, 8842, 8993, 9232, 9565, 9998?
d**3 + 29*d**2 - 171*d + 8998
What is the o'th term of 644, 5615, 10586?
4971*o - 4327
What is the v'th term of -84903, -169951, -254997, -340041, -425083?
v**2 - 85051*v + 147
What is the j'th term of -512394386, -1024788772, -1537183158, -2049577544, -2561971930, -3074366316?
-512394386*j
What is the x'th term of -22589, -52693, -82797?
-30104*x + 7515
What is the b'th term of 274, 511, 846, 1273, 1786, 2379?
-b**3 + 55*b**2 + 79*b + 141
What is the p'th term of -1562458, -1562430, -1562392, -1562338, -1562262, -1562158, -1562020?
p**3 - p**2 + 24*p - 1562482
What is the d'th term of -3470, -3594, -3720, -3848?
-d**2 - 121*d - 3348
What is the l'th term of -760, -3330, -7774, -14092?
-937*l**2 + 241*l - 64
What is the d'th term of -24042, -94527, -211994, -376437, -587850, -846227?
d**3 - 23497*d**2 - d - 545
What is the p'th term of -1721, -6790, -15139, -26690, -41365, -59086, -79775?
13*p**3 - 1718*p**2 - 6*p - 10
What is the k'th term of 23611, 45159, 66707?
21548*k + 2063
What is the m'th term of -510, -1293, -2432, -3915, -5730?
2*m**3 - 190*m**2 - 227*m - 95
What is the p'th term of 1718007, 3435813, 5153619, 6871425, 8589231, 10307037?
1717806*p + 201
What is the x'th term of -12883940, -12883938, -12883936, -12883934, -12883932?
2*x - 12883942
What is the c'th term of 2086407, 2086393, 2086379, 2086365, 2086351?
-14*c + 2086421
What is the v'th term of -2309, -9222, -20747, -36884, -57633?
-2306*v**2 + 5*v - 8
What is the u'th term of -28428, -58659, -88890, -119121?
-30231*u + 1803
What is the j'th term of -1262990, -2525976, -3788960, -5051942, -6314922, -7577900?
j**2 - 1262989*j - 2
What is the j'th term of -230593, -230586, -230575, -230554, -230517, -230458?
j**3 - 4*j**2 + 12*j - 230602
What is the q'th term of -408430, -816914, -1225398?
-408484*q + 54
What is the s'th term of -239369, -239351, -239323, -239285, -239237?
5*s**2 + 3*s - 239377
What is the k'th term of 74731, 144575, 214419, 284263?
69844*k + 4887
What is the c'th term of -35145684, -35145682, -35145678, -35145672, -35145664, -35145654, -35145642?
c**2 - c - 35145684
What is the s'th term of -12257, -25304, -38351, -51398, -64445?
-13047*s + 790
What is the p'th term of 318, 450, 750, 1284, 2118, 3318?
11*p**3 + 18*p**2 + p + 288
What is the f'th term of -9586, -10837, -12088, -13339?
-1251*f - 8335
What is the b'th term of -1143353, -4573381, -10290087, -18293465, -28583509, -41160213, -56023571?
b**3 - 1143345*b**2 - 9
What is the q'th term of 234638500, 234638493, 234638480, 234638461?
-3*q**2 + 2*q + 234638501
What is the k'th term of 131186346, 131186345, 131186344, 131186343, 131186342?
-k + 131186347
What is the a'th term of 157, 2639, 9391, 22549, 44249, 76627, 121819, 181961?
356*a**3 - a**2 - 7*a - 191
What is the g'th term of 1542374, 3084751, 4627128?
1542377*g - 3
What is the h'th term of -18850, -19036, -19218, -19396, -19570, -19740?
2*h**2 - 192*h - 18660
What is the v'th term of 10461570, 20923134, 31384692, 41846244, 52307790, 62769330, 73230864?
-3*v**2 + 10461573*v
What is the u'th term of 8548, 8228, 7920, 7630, 7364, 7128, 6928?
u**3 - 327*u + 8874
What is the n'th term of 7683685, 7683737, 7683789?
52*n + 7683633
What is the z'th term of 12760, 51016, 114778, 204046, 318820, 459100?
12753*z**2 - 3*z + 10
What is the n'th term of -4382, -4303, -4236, -4181, -4138, -4107, -4088?
-6*n**2 + 97*n - 4473
What is the h'th term of -129963, -127411, -124859, -122307, -119755, -117203?
2552*h - 132515
What is the u'th term of -6181830, -12363598, -18545366, -24727134, -30908902?
-6181768*u - 62
What is the d'th term of 3319, 3490, 3967, 4906, 6463?
26*d**3 - 3*d**2 - 2*d + 3298
What is the m'th term of -2415, -2876, -4153, -6654, -10787, -16960?
-68*m**3 + 15*m - 2362
What is the p'th term of 51726156, 51726152, 51726148, 51726144?
-4*p + 51726160
What is the x'th term of 6249122, 6249124, 6249126, 6249128?
2*x + 6249120
What is the y'th term of -423652, -423807, -423962?
-155*y - 423497
What is the h'th term of -259708, -519413, -779120, -1038829, -1298540, -1558253, -1817968?
-h**2 - 259702*h - 5
What is the g'th term of -8987361, -8987365, -8987385, -8987427, -8987497, -8987601, -8987745, -8987935?
-g**3 - 2*g**2 + 9*g - 8987367
What is the u'th term of 234, 503, 680, 543, -130, -1561, -3972?
-37*u**3 + 176*u**2 + 95
What is the b'th term of -28018, -102672, -223962, -391888?
-23318*b**2 - 4700*b
What is the y'th term of -9884, -40466, -91436, -162794, -254540, -366674, -499196?
-10194*y**2 + 310
What is the b'th term of -4051922, -4051906, -4051880, -4051844, -4051798, -4051742?
5*b**2 + b - 4051928
What is the z'th term of -1609, -1409, -1057, -553, 103?
76*z**2 - 28*z - 1657
What is the u'th term of -54116, -216692, -487690, -867104, -1354928, -1951156, -2655782, -3468800?
u**3 - 54217*u**2 + 68*u + 32
What is the j'th term of 3132, 3071, 2914, 2613, 2120?
-8*j**3 - 5*j + 3145
What is the o'th term of -913, -6949, -23331, -55231, -107821, -186273?
-862*o**3 - o**2 + o - 51
What is the y'th term of 66589, 58020, 49449, 40876, 32301, 23724?
-y**2 - 8566*y + 75156
What is the q'th term of -1391, -23351, -59951, -111191, -177071?
-7320*q**2 + 5929
What is the y'th term of 166, -627, -1950, -3803, -6186?
-265*y**2 + 2*y + 429
What is the d'th term of -715, -7549, -26093, -62203, -121735, -210545, -334489?
-976*d**3 + d | {
"pile_set_name": "DM Mathematics"
} |
= 12*p + 32933*t, 5*t = 2*p for p.
10
Solve 2*z - 2*n - 40 = 0, 676*n - 1354*n = -z - 676*n + 18 for z.
22
Solve 39*c + 170 = -5*x, c + 1800*x = 1797*x + 10 for c.
-5
Solve -3*q = -2151269*p + 2151266*p - 9, 5*p + q + 7 + 14 = 0 for p.
-4
Solve 19*w - 10*j = -4*j - 20, -53*j + 50*j = w - 10 - 42 for w.
4
Solve -g - 45 = 3*v, -2*g + 3*v - 3508 + 6876 = -0*v + 3440 for g.
-39
Solve 0 = -n - 3*n - 2*n + 317*b - 316*b + 33, -30 = 2*b for n.
3
Solve -3*t + 25 = -10*m, -46*m - 44*m - 11 = 3*t + 43*m - 134*m for t.
-5
Solve 0 = -h + 2012 - 2010, -3*h + 12 = -2*w for w.
-3
Solve 15*t + 2*d - 10 = 4*t, 9*d + 34 = -t + 3*d for t.
2
Solve -327*a = -326*a + q + 41, 9*a = -q - 81 for a.
-5
Solve -4*n = -4*m + 108, 1362*m + 28 = -n + 1364*m for n.
-26
Solve 5*r - 747 + 1490 = -5*q + 758, 2*r = 3*q + 16 for r.
5
Solve 2*r - 4*o = o + 8, 0 = 2*r - 2*o - 2285 + 2271 for r.
9
Solve 37*i - 42*i + 141 = 8*q + 22, 20*i - 47 = q for q.
13
Solve -2*x - 386 = 2*x - 107*f, 2*x + 5*f = -292 + 216 for x.
-43
Solve 4*c - 10 = 7*l, 47*c + 7 = -3*l + 43*c - 3 for l.
-2
Solve 126 = -3*l - 3*u, 3*l - 1712 = -u - 1758 for l.
-2
Solve -4*d - 95 + 3 = -4*s - 4, 0 = 3*s - 5*d - 76 for s.
17
Solve -235 = 3*a + 243*l - 209*l, 2*a + 32 = 6*a - 4*l for a.
1
Solve -30*q + 280 = -5*g, 3*g = g + 3*q - 1159 + 1137 for g.
4
Solve 4*f - 46*t - 126 = -0*f, -3*f - 346 + 349 = -4*t for f.
-3
Solve -1 = 2*o - 3*k - 147 + 92, 3*o + 7*k = 104 for o.
30
Solve 414*s - 1272 = -3*h + s, 3*s + 207 - 172 = 4*h for h.
11
Solve m + 26 = 10*u, -m - 990*u + 985*u + 19 = 0 for m.
4
Solve -2*c - 4*s - 31 = 3, 5158 = 4*c - 4*s + 5190 for c.
-11
Solve 0 = -5*d + 20*k - 25*k - 65, 31 = d - 4*d + 5*k for d.
-12
Solve 11*w + 269 = 11*i + 8*w, 20*i - 16*i = 8*i - 3*w - 94 for i.
25
Solve 4*u + 76*a - 42*a + 23 = 31*a, 14*a + 39 = -5*u for u.
-5
Solve 3*y = -39*q + 201, 4*q - 8*q + 2*q + 4*y = 32 + 74 for q.
3
Solve -5*o + 10 = 4*g, 0 = o + 2*g + 48120 - 48128 for o.
-2
Solve -4 = 2*k, 8*k + 89 + 148 = -19*f - 0*f + 3*k + 37 for f.
-10
Solve -4954*i = -4951*i + c + 109, i + 2*c = -38 for i.
-36
Solve -3*h + g = -4, -9*h = -g - 1112 + 1132 for h.
-4
Solve -81*o + 77*o - 4*z = 40, -5 = -4*o - z for o.
5
Solve 1406*k = 2*n + 1428*k + 326, 2*n = 4*n + 2*k + 26 for n.
2
Solve z + 4*z - 132 = 6*j, -9*j + 2*j = -3*z + 16*j - 0*j + 118 for z.
24
Solve -4*d + 83 = -9*q - 3*d + 94, 2*q - d = 4 for q.
1
Solve 0 = u - 4*u - y + 15, -5*u + 23*y - 20 = -45 for u.
5
Solve -149 + 46 = 104*f - 5*u + 75, u - 2 = 4*f for f.
-2
Solve -8 = -5*m + 2*s, 7337*m + 3*s - 4*s = 7334*m + 5 for m.
2
Solve 127*m - 4 - 106 = 130*m + 5*c, 0 = m - 5*c + 70 for m.
-45
Solve 2*v + 2*v - 4*g = 2*v - 114, 9*g - 131 = -5*v + 3*g for v.
-5
Solve -17879 = c + y + 17888 - 35759, 2*y = y - 2*y for c.
-8
Solve 4*s = -8*o - 32, -223690 = 4*o + 5*s - 223668 for o.
-3
Solve 89*a + 0*q = 92*a + 9*q + 6, -8*a - 121 = 3*q for a.
-17
Solve 6*b + 5*b + 539 = 594, 0*c - 3*c = -5*b + 40 for c.
-5
Solve -5*n + 105 = -5*y, n + 5*n - 3*y - 68 = 52 for n.
19
Solve 4*x - 2*b - 2220 = -2346, b - 10 - 18 = -5*x for x.
-5
Solve 2304*m - 2303*m = 5*a - 24, -5*a = -20*m + 4*m - 159 for a.
3
Solve 2*i - 4*q = -50, 2*i = -9335*q + 9342*q - 95 for i.
5
Solve -22*p = 4*b - 7*b - 58, p - 2*b - 37 = -12 for p.
1
Solve 0 = 5*m - 4*u + 470, 0 = -5*m + 412*u - 428*u - 370 for m.
-90
Solve -7*m - 6*a + 27 = 8*m, m - 21*a + 170 + 192 = -0*m for m.
-5
Solve 9 = 3*j - q, -4*j - 2*q - 198 = -220 for j.
4
Solve -3568*n = -3566*n - 4*h + 22, 0 = -3*n + 2*h - 41 for n.
-15
Solve -36*b + 33*b - 43 = 5*o, 13*o = 101*o - 2*b + 428 for o.
-5
Solve -5*a - 7*a = f - 92, -107*f + 111*f + 56 = 5*a for f.
-4
Solve 4*i + 5*c - 3*c + 72 = 0, 0 = -4*i - 53*c - 1546 + 46 for i.
-4
Solve -3*t = 5*w + 13, -15 = 2*w + t - 10 for w.
-2
Solve -4*q + 2*q + 5*t + 49 = 0, -59*q - 5*t + 1199 = 43*q for q.
12
Solve -8032*z + 36 = 4*l - 8028*z, 0 = 4*l + 2*z - 38 for l.
10
Solve 2*x + 3*b - 2622 = -2645, 25 = 149*b - 154*b for x.
-4
Solve -59*k + 15 = 14*o - 62*k, 87*o - 227 = 3*k + 7 for o.
3
Solve 0*r + 5*r + 230 = 0, 4*m = -15*r - 16*r - 425 - 168 - 853 for m.
-5
Solve 4*o + 15 = 98*v - 99*v, 35*v - 165 = -2*o for o.
-5
Solve 0 = -5*f - 4*m + 115 - 17, -6*f - 393*m = -398*m + 98 for f.
2
Solve -6*z + 11*o - 346 + 326 = 0, 13*o = 2*z + 44 for z.
4
Solve 322*x + z - 37 = 326*x, 3*x + 7*z = -3*z + 327 for x.
-1
Solve -u - 6 = -5*k, 4*u + 11 - 3 = -2*k + 6 for u.
-1
Solve -8*v - 28 = -2*i - 176 + 92, 8 = 3*v - 4*i for v.
8
Solve -2*s - s = -s + 15*w - 4*w - 6*w - 18, 0 = -35*s - 3*w + 146 for s.
4
Solve -81*d + 80*d + 13 = -3*i - 13, 12*i - 13*i + 82 = 5*d for i.
-3
Solve 28*r - 10 = 36*r + 2*o, -68*o = -4*r - 70*o - 6 for r.
-1
Solve 2*t + 0*t - 79 = y + t, -282 = y - 5*t - 215 for y.
-82
Solve -z - c - 1735 = 9*c - 1780, -z - c + 9 = 0 for z.
5
Solve 22*f - 5*r + 20 = 0, -436052*r + 436039*r + 52 = 0 for f.
0
Solve 16 = -4*m, 2*q - 132 = 247*m - 217*m for q.
6
Solve -13*f + 4*w = 212, -2*w = -3*f - w - 0*w - 0*w - 52 for f.
-4
Solve 0 = 2*o + 4*h + 190, 19224*o + 11*h = 19226*o - 485 for o.
-5
Solve -31*m - h - 3*h + 0*h + 330 = 0, 5*m + 7*h - 85 = 0 for m.
10
Solve -5*b - 5*b - 948 - 3417 = 876*p - 5*b, -8*b = -p - 4*b - 17 for p.
-5
Solve -179*l + 2*f = -20*l - 493, 4*l - 8*f + 3*f = -0*l + 52 for l.
3
Solve 0 = -f + 2*i - i - 51, -12*f + 16 = -7*f + 266*i for f.
-50
Solve -264*z + 272*z - w + 10 = 0, 0 = -4*z - 8*w + 12 for z.
-1
Solve -l - 5*l = 4*c + 132, 32 = -2*l + 2577*c - 2578*c for l.
2
Solve 2*s + 3*o = 1196 - 1186, -4*s - 39*s - 35 = 2*o for s.
-1
Solve h = 8*f - 8, 3*f - 251*h - 3 = -255*h for f.
1
Solve 387114*r + 88 = 387117*r + q, 2*q = -18*r + 152 for r.
-2
Solve -61 + 35 + 37 = 3*o + 4*t, o - 9 = 4*t for o.
5
Solve 0 = 5*y - 2*f - 11, 10*f - 6866 = 3*y + y - 6858 for y.
3
Solve 1269*h - 123 = 1273*h + 7*m, -4*m = 7*h + 75 for h.
-1
Solve 16*z - 19*z = -c + 7, -2*c = 3*c + 40 for z.
-5
Solve 57*t - 49*t - 2*y - 116 = 0, -4*y + 36 - 88 = -4*t for t.
15
Solve -3*q + 0 + 1 = 4*q - 4*q + 4, 0 = -3*b + 32*q + 17 for b.
-5
Solve -b = 5*o + 2, 288776*o - 288787*o + 4 = 5*b for o.
-1
Solve 199*k + 44 = -3*o + 198*k, -3*k = -5*o + 160 for o.
2
Solve t + 2*g - 5*g = 6*t + 127 + 8, -82*t - 3*g = 2214 for t.
-27
Solve 0 = -144*m + 147*m - 37*f - 108, -3*m + 2*f + 3 = 0 for m.
-1
Solve 3*g + 2020204 = j + 2020216, 5*g + 3*j - 6 = 0 for g.
3
Solve -m - 2*v = 43, -3*m - 35*v - 110 = 64*v + 38*v - 132*v for m.
-5
Solve 3*h + 10*t = 4*t - 63, -5*t - 176 = 9*h for h.
-19
Solve i + 2*i - 2*g - 39 = 0, -3*i + g - 642788 = -642809 for i.
1
Solve 13*b = -w + 48, 4*b - 181 = -169 for w.
9
Solve -5*g - 422*z + 130 = -413*z, -g = 5*z - 26 for g.
26
Solve -45651*q + 45652*q - 32 = 5*l, 0 = q + 8*l + 33 for q.
7
Solve -387 = -28*r + 32*r - 30*g - 117, r + 36 = 4*g for r.
0
Solve -7*i + 2*i - 3*d = -2*i + 13 - 1, -2*d + 30 = -2*d - 6*d for i.
1
Solve 1757*u + 1533 = 2268*u, -2*i - 4*u - 16 = 0 for i.
-14
Solve a + 21164*k - 21160*k = 6, -3*a + 5*k = 16 for a.
-2
Solve 3*c + 13*h + 39 = 0, 2*c + 1115049 = 3*h + 1115058 for c.
0
Solve -4*h + 3*h - 25*q = -7*q + 176, 5*q - 257 = -103*h - 3*h + 117 for h.
4
Solve -13*o + 4*x + 445 = 0, -90*x - 60 = -163*x + 88*x for o.
33
Solve -67027*x + 67020*x = 6*w - 16, w - 6 = -2*x for w.
-2
Solve -2*j + 38 = 2*p, -4*p + 173980*j = 173975*j - 85 for p.
20
Solve 186*h = 181*h - 10, 0 = -2*n + 13*h - 12*h + 2 for n.
0
Solve -219 = -14*i + 4*i - m, -i + 5*m = -29 - 19 + 21 for i.
22
Solve 16*q = -4*n - 440, -3*n - 3*q - 114 = -0*n + q for n.
-2
Solve -4*r + 50 = -3*l, -l + l - 4*l - 195 = -5*r - 12*r for r.
11
Solve -t - 9 = -4*a, 4*t - t - 6*t = 3*a - 18 for t.
3
Solve 2*a + 362179*k = 362183*k - 18, 0 = a + k + 3 for a.
-5
Solve 0 = 2*o - 5*s + 86, 6*s = -17005 + 17029 for o.
-33
Solve 13 = -n - 5*z + 26, -3*n + 4*z + 20 = -0*n for n.
8
Solve -5*x + 25 = 2*h, -3*h - 2440*x = -2433*x - 35 for h.
0
Solve 0 = 3*b - 24, 24*s - b - 4 = 70*s - 12 for s.
0
Solve 24 = -5*b - 9*j - 93 + 104, -4*b - 6 = 5*j for b.
1
Solve 0 = -2*l - 6, -4*z - 6*l + 18 = -8*l for z.
3
Solve -31*j + 79 = -2*k, j + 11 = 283289*k - 283287*k for k.
7
Solve 120*x + 133*x - 248*x = -z + 3, -85 = 5*x + 5*z for x.
5
Solve 5*f + 14*q = -94 - 69, 450*q - 215 = f + 468*q for f.
1
Solve -8*w + 18*w - 5*w + 2*z = -11*w - 68, | {
"pile_set_name": "DM Mathematics"
} |
de 360 by -90.
-4
Calculate 1695 divided by -565.
-3
Divide -609 by -11.
609/11
-149 divided by 18
-149/18
Calculate -3 divided by -1891.
3/1891
What is -36 divided by -2?
18
-1780 divided by -356
5
-1488 divided by 6
-248
Divide -246 by 123.
-2
Divide 0 by -15.
0
-2575 divided by -8
2575/8
What is 2 divided by -2316?
-1/1158
Divide -4 by -2.
2
-17 divided by -4
17/4
What is 66 divided by -22?
-3
Calculate 6 divided by 5955.
2/1985
What is 0 divided by -2265?
0
Calculate -3405 divided by -1135.
3
What is -636 divided by 1?
-636
-405 divided by -135
3
What is 8456 divided by 28?
302
Divide 1200 by 5.
240
Calculate -5664 divided by 96.
-59
Divide 24 by 120.
1/5
865 divided by -5
-173
Divide 10 by 19.
10/19
Divide -4330 by 433.
-10
Divide -3 by -535.
3/535
Divide -2 by -40.
1/20
Divide 32 by -19.
-32/19
10 divided by 37
10/37
Calculate 0 divided by 218.
0
Divide -456 by 8.
-57
What is -11 divided by -174?
11/174
108 divided by -6
-18
Divide 2527 by 1.
2527
Divide -2 by -89.
2/89
Divide -33 by 8.
-33/8
What is 1 divided by -32?
-1/32
5509 divided by -7
-787
Calculate 34 divided by -98.
-17/49
34 divided by -9
-34/9
Calculate 114 divided by 19.
6
Divide -1209 by -2.
1209/2
Calculate 180 divided by 3.
60
Calculate 9108 divided by 253.
36
Divide -2 by -933.
2/933
Calculate -2 divided by -284.
1/142
Calculate 4 divided by 15.
4/15
Calculate -24 divided by -281.
24/281
Divide -2452 by 7.
-2452/7
Calculate -2567 divided by -2567.
1
-25089 divided by -3
8363
4093 divided by -4093
-1
126 divided by -21
-6
What is -1000 divided by -26?
500/13
What is 11 divided by 39?
11/39
Divide -67 by -67.
1
Calculate 25 divided by 101.
25/101
2 divided by -1170
-1/585
Divide -5 by -6.
5/6
Divide 2056 by 4.
514
What is 5 divided by -46?
-5/46
Calculate 13182 divided by -1014.
-13
Calculate 1524 divided by 508.
3
Divide -752 by 2.
-376
250 divided by 1
250
What is -2 divided by 20?
-1/10
Calculate 9 divided by -93.
-3/31
Calculate 1 divided by -3686.
-1/3686
-1365 divided by -1365
1
Divide 2304 by -9.
-256
-455 divided by -28
65/4
What is 12 divided by -13?
-12/13
Calculate -6389 divided by 2.
-6389/2
Calculate 0 divided by 47.
0
-108 divided by -6
18
What is -4794 divided by 5?
-4794/5
-247 divided by 1
-247
-261 divided by -29
9
What is 6 divided by -4?
-3/2
2139 divided by 31
69
Calculate -120 divided by 40.
-3
Calculate 112 divided by 6.
56/3
-159 divided by -10
159/10
What is -9 divided by -5?
9/5
Divide 210 by 210.
1
What is 96 divided by -16?
-6
Calculate -20 divided by -6.
10/3
Divide -420 by 3.
-140
-2054 divided by 79
-26
Calculate 6084 divided by -3.
-2028
Calculate 1287 divided by 9.
143
What is 9096 divided by 8?
1137
Calculate 61 divided by 2.
61/2
Calculate 1 divided by 343.
1/343
What is -6524 divided by -4?
1631
Calculate 28 divided by 28.
1
Divide -180 by 1.
-180
What is 7221 divided by 29?
249
2 divided by -15
-2/15
Calculate -54738 divided by 2.
-27369
Divide 150 by 51.
50/17
Divide 3 by -643.
-3/643
What is -366 divided by -183?
2
What is 950 divided by -5?
-190
Divide 3 by 89.
3/89
What is 2244 divided by -17?
-132
Divide -234 by 3.
-78
What is 24 divided by -6?
-4
What is 13785 divided by -3?
-4595
What is -569 divided by -2?
569/2
Calculate -2786 divided by -398.
7
Divide 4240 by -848.
-5
Calculate -1 divided by 2938.
-1/2938
Calculate 504 divided by -504.
-1
-3 divided by 127
-3/127
-968 divided by 242
-4
Divide 5 by -355.
-1/71
What is -931 divided by -19?
49
Divide 1 by -451.
-1/451
-39 divided by 8
-39/8
Calculate 11480 divided by 1435.
8
Calculate 7458 divided by -11.
-678
What is -6175 divided by -1235?
5
What is 1460 divided by -730?
-2
Calculate -220 divided by -4.
55
Divide -70 by 148.
-35/74
Divide -4 by -150.
2/75
What is -1650 divided by -6?
275
What is 387 divided by -13?
-387/13
Divide -51 by 12.
-17/4
What is 5 divided by 602?
5/602
What is 107 divided by 107?
1
Calculate -31 divided by -1.
31
Calculate -16 divided by 4.
-4
Divide 2716 by 2.
1358
17 divided by 1
17
What is -3308 divided by -2?
1654
0 divided by -149
0
What is -16134 divided by 2?
-8067
-587 divided by -1
587
Calculate -1470 divided by -10.
147
Divide 1302 by -434.
-3
-2742 divided by -1
2742
Divide -3 by -1644.
1/548
Divide -12 by 60.
-1/5
85 divided by 5
17
Divide -646 by 7.
-646/7
0 divided by 691
0
What is -51 divided by -24?
17/8
Calculate -12 divided by -1.
12
1 divided by -25
-1/25
What is -612 divided by -12?
51
Calculate -315 divided by -21.
15
Calculate -52 divided by -5.
52/5
Calculate -1 divided by 21.
-1/21
What is -616 divided by -5?
616/5
Calculate 435 divided by -3.
-145
-3004 divided by -1502
2
What is 2 divided by 1914?
1/957
What is 0 divided by 102?
0
Divide -1 by 21.
-1/21
-280 divided by 56
-5
Calculate -600 divided by -150.
4
Calculate -5 divided by 465.
-1/93
Divide 3420 by -5.
-684
Calculate -9647 divided by 11.
-877
34 divided by 195
34/195
What is 126 divided by 52?
63/26
Calculate 1224 divided by 6.
204
Calculate 0 divided by -14.
0
0 divided by -182
0
Divide -1900 by -2.
950
Divide 1914 by 6.
319
-14946 divided by -94
159
Calculate 116 divided by 1.
116
Divide -402 by -1.
402
Divide -10392 by -3464.
3
Calculate 4526 divided by 6.
2263/3
3 divided by -8
-3/8
-2 divided by -5
2/5
-34 divided by -1
34
-74 divided by -2
37
What is 14 divided by 413?
2/59
159 divided by 10
159/10
16 divided by -73
-16/73
Divide -4 by -131.
4/131
Calculate -31 divided by -1.
31
Divide -172 by -6.
86/3
0 divided by -28
0
What is -2822 divided by -5?
2822/5
140 divided by -14
-10
What is 1211 divided by 1?
1211
Calculate -1 divided by -132.
1/132
What is 32680 divided by -5?
-6536
10736 divided by 2
5368
Divide 132 by -21.
-44/7
Divide 0 by -2010.
0
Calculate 102 divided by -1.
-102
-1 divided by -703
1/703
Calculate -7 divided by -26.
7/26
-520 divided by -7
520/7
Divide -47 by 6.
-47/6
Divide 504 by -8.
-63
What is 4254 divided by 2127?
2
What is 438 divided by -6?
-73
Calculate 2 divided by 3.
2/3
Divide -1785 by -7.
255
What is -5890 divided by 5?
-1178
Calculate -1744 divided by -16.
109
Divide 1594 by -6.
-797/3
What is -124 divided by -31?
4
-3 divided by -2387
3/2387
What is 15 divided by 28?
15/28
Divide 1389 by 5.
1389/5
-41280 divided by -6
6880
-4 divided by 22
-2/11
What is 2 divided by 365?
2/365
What is -504 divided by 252?
-2
20 divided by 3
20/3
What is -22155 divided by -3?
7385
45 divided by -117
-5/13
Calculate -77 divided by -55.
7/5
-180 divided by -12
15
-280 divided by -4
70
What is -12880 divided by 35?
-368
Divide -4904 by 2452.
-2
-3966 divided by 2
-1983
-1 divided by 90
-1/90
Calculate -38 divided by -1.
38
Divide 3 by -42.
-1/14
Calculate 4 divided by -2795.
-4/2795
-35112 divided by 924
-38
Calculate 945 divided by -7.
-135
Divide 2 by 279.
2/279
110 divided by -8
-55/4
-197 divided by 3
-197/3
Divide -40920 by 1364.
-30
Calculate 11 divided by 21.
11/21
What is -1 divided by 456?
-1/456
430 divided by 86
5
What is 6 divided by -59?
-6/59
Calculate 1102 divided by -2.
-551
Calculate 3 divided by 199.
3/199
What is 8 divided by -15?
-8/15
What is -528 divided by 66?
-8
Divide -7 by -9.
7/9
What is -418 divided by -5?
418/5
Calculate -276 divided by 69.
-4
Divide 2921 by -127.
-23
-780 divided by -6
130
What is 1213 divided by -1213?
-1
365 divided by 5
73
Divide 3 by 106.
3/106
Calculate -1439 divided by -1.
1439
-4 divided by -388
1/97
What is -1343 divided by -1?
1343
What is -53 divided by -15?
53/15
Divide 24352 by 1.
24352
Divide 296 by 4.
74
-3 divided by 1477
-3/1477
Divide 25 by -67.
-25/67
Divide 2 by 3.
2/3
Calculate 68 divided by 275.
68/275
What is 712 divided by -356?
-2
Calculate 372 divided by 93.
4
What is -462 divided by -33?
14
Divide 17109 by 1901.
9
What is 12960 divided by -16?
-810
Calculate -1720 divided by -2.
860
Calculate -40 divided by 12.
-10/3
Calculate -13015 divided by 1.
-13015
Divide 1890 by 210.
9
What is 3029 divided by -6?
-3029/6
What is 78 divided by -8?
-39/4
Divide -32 by 11.
-32/11
Divide -113 by 3.
-113/3
Calculate -143 divided by -22.
13/2
What is -924 divided by -6?
154
What is 46 divided by -1?
-46
What is -3808 divided by 9?
-3808/9
Calculate -840 divided by -30.
28
What is -5448 divided by -1816?
3
8 divided by -61
-8/61
Calculate 667 divided by -1.
-667
Divide -259 by 4.
-259/4
Wha | {
"pile_set_name": "DM Mathematics"
} |
he closest to j? (a) g (b) -5/2 (c) 0.1 (d) 5
c
Suppose 0 = 2*f - 4*h - 36, -9*h + 4 = 3*f - 5*h. Which is the nearest to 0? (a) -2/7 (b) 5 (c) f (d) -1
a
Let f = -6662 - -6666. What is the closest to -11 in -24, -2/7, 1, f?
-2/7
Let h = 0.06 + -6.06. Let k = -5.9 - h. Let b = -0.0097 - -0.5097. What is the nearest to k in 3, -0.1, b?
-0.1
Let n = 8947 + -8946.9. Which is the nearest to -1? (a) n (b) -2 (c) 0.4 (d) -1/8
d
Let p = -17210 + 17241. What is the closest to 4 in p, 1, -0.02, -0.4?
1
Let y(g) = 7*g + 51. Let p(m) = 8*m + 51. Let q(f) = 6*p(f) - 5*y(f). Let u be q(-4). Which is the nearest to u? (a) 4.7 (b) -0.3 (c) 0.2
b
Suppose -2*i - 4*z = -4*i - 28, i = -z - 8. Let t be -1*3*2/i - 1. Suppose -4*n = -3*n. Which is the nearest to n? (a) t (b) 2/9 (c) 4
b
Let p = -5.072 + 5. Let j = 95.9 - 95.828. Let d = p + j. What is the nearest to -1/5 in d, -3, 2/5?
d
Let n = 36 - 35.59. Let v = -1.41 + n. What is the nearest to 0 in 0.3, 0.04, v?
0.04
Let m = -71617 + 71618. Let h = -0.08 - -0.03. Which is the nearest to m? (a) h (b) 1 (c) -5
b
Let m = 1302 - 1298. Which is the closest to 0.1? (a) 2 (b) -517 (c) m
a
Let d = -0.32 + 17.32. Let t = 16.5 - d. Let c = -833.94 - -834. What is the closest to c in 5, t, 0.5?
0.5
Let v(j) = -137*j + 13707. Let u be v(100). Let n = -4 - 1. Which is the closest to u? (a) -4 (b) n (c) 0.2
c
Suppose 3*a + 3*s + 213 = 0, 2*a - 6*a = 5*s + 282. Let n = -71 - a. Let j be (0 - 0)/(-4 + 2). What is the nearest to n in -0.4, -5, j?
j
Suppose 49*j - 51*j - 7 = 3*t, 0 = 2*j + 5*t + 9. Let c = -886 - -2636/3. Let u = c + 15/2. What is the nearest to -0.1 in j, -1/4, u?
-1/4
Suppose 227*z + 149*z + 384 = 1136. Let i = -0.4 + -1.6. Which is the nearest to 2/7? (a) 3/5 (b) z (c) i
a
Let s = 1381/33432 + 1/2786. What is the nearest to 0.1 in s, -0.1, 0.5, -0.17?
s
Let f be (-1)/((-5)/(-15)) - 22/(-8). Let j be (-92)/8*(-1 + 3 + 0). Which is the nearest to f? (a) 5 (b) -0.5 (c) j
b
Let x = 37 + -39. Let j = 1309 - 1305. Which is the nearest to -2/7? (a) x (b) j (c) 8
a
Suppose -581*g = 2*s - 582*g + 8, 4*s + 16 = -2*g. Which is the nearest to 34/9? (a) s (b) 2/13 (c) 2 (d) -1
c
Let f = -1.6 - -1.7. Let s = -2299/42 - -382/7. Let j be 1/(-4) - 1/(-4). Which is the closest to -1/5? (a) f (b) s (c) j
b
Let q = -6671 + 13347/2. Which is the nearest to -6? (a) 4/7 (b) -0.5 (c) q
b
Let s = 0.07 - -1.93. Let p = 4.346 - 4.846. What is the nearest to s in p, -0.4, 0.02?
0.02
Let i be (-3)/(((-57)/(-52))/19). What is the nearest to 0.1 in 6, i, 0, -1?
0
Suppose -518 + 2344 + 967 = 21*s. Which is the nearest to s? (a) -3 (b) -1/10 (c) -1
b
Let j = 272622/11 - 24784. Which is the nearest to -4? (a) -41 (b) 4 (c) -3 (d) j
c
Let r = -95 + 93. Let i = -254.1 + 219. Let p = 35 + i. Which is the closest to -12/13? (a) r (b) p (c) -1/4
c
Let f = 4347 - 4323. What is the closest to -1 in -4/7, 17, f, 4?
-4/7
Let m = 10 - 6. Let r be ((-40)/(-958) - 0)*3948/(-756). Let p = r - 2/479. What is the closest to p in m, 27, 0?
0
Let d = 19.954 - 21.954. Let n be (1/4)/(-1) + 0. Which is the nearest to d? (a) -0.5 (b) n (c) 0.18
a
Let h(o) = -39*o - 24. Let t be h(5). Let r = 220 + t. Which is the closest to r? (a) -0.4 (b) 0.2 (c) -3/20
b
Let r = -538.5 + 538. Let u(s) = -s**3 - 5*s**2 - 4*s - 1. Let q be u(-4). Which is the nearest to q? (a) r (b) -0.2 (c) -30
a
Let o = -21886/171 + 128. Let c = 151/1710 + o. Let u(y) = y**2 - 6*y + 2. Let n be u(6). What is the nearest to n in -3/4, c, 0.3?
0.3
Let i = -1879 + 1879. Let v = 2.45 - -4.55. Let g = 1.1 + -0.1. Which is the nearest to g? (a) v (b) 3/4 (c) i
b
Let z = -51 - -38.8. Let n = 12 + z. Let r = 0.09 - -0.01. Which is the nearest to -1/4? (a) n (b) r (c) -2/9
c
Let l be 10 + (-903)/12 + 12. What is the nearest to 0 in -5, 2/13, l?
2/13
Let z be (-8)/(-12) - (-34)/(-24). Let j = 136.604 - 136.604. What is the closest to j in z, 3, -3/5?
-3/5
Let n be (12/(-4767))/((-222)/(-42) - 5). What is the nearest to n in 1/2, -0.2, -1/2?
-0.2
Let c = -2939.1 + 2938.6. Suppose 3*i = -2*i - 2*v - 14, -4*i = 4*v + 16. Let n = 0 - -1. What is the nearest to n in -3, c, i?
c
Suppose 5*f + 2*s = -2*s - 35, -2*s - 25 = 5*f. Let q = -18 + 27. Let k be (-84)/98*3/q*-2. What is the nearest to -2/7 in -4/7, f, k?
-4/7
Let p be (3/6)/(2/20). Let l = 262990 - 262993. Which is the closest to p? (a) l (b) 2 (c) -4 (d) 0.4
b
Suppose -11*j + 32*j = -5*j + 104. Which is the closest to 0.15? (a) 0.4 (b) 2/11 (c) 0.06 (d) j
b
Let k = 376261/7 + -53941. Let y = k + 190. Let z = 0.24 - 0.74. Which is the closest to 0? (a) z (b) 0.4 (c) y
b
Let f = 2730 - 5461/2. What is the nearest to f in -2, -986, 2/11, -4/9?
-4/9
Let m = 2298 - 2303. Which is the nearest to 3? (a) 5 (b) 6/11 (c) m
a
Suppose 183*u = 137*u - 138. What is the nearest to -2/5 in -6, 2/3, -4/7, u?
-4/7
Let y be -3*(-6)/(-270)*(-3 + 12 + -3). Let s be 5/(-20) - 1/(-4). What is the nearest to s in y, -0.2, 5/11?
-0.2
Let d = 2929 + -2925. Which is the nearest to -2? (a) -1 (b) d (c) -1.5
c
Let z(c) = -1512*c + 22676. Let r be z(15). Let q = 10 + -6. What is the closest to 2/9 in r, 0.1, q?
0.1
Let h be (472/531)/((-14)/(-9)). Which is the nearest to 35? (a) 4 (b) h (c) 2/3
a
Let m = 113/77 - 9/7. Let v(c) = -c**2 + 12*c + 2. Suppose y + 3*s - 3 = 0, 2*y + 5*s + 63 = 6*y. Let f be v(y). What is the closest to 0.1 in 0.3, m, f?
m
Let m = 896 + -396. Let h = -499.9 + m. Which is the closest to h? (a) 6/7 (b) -1/30 (c) 0.4
b
Let u be (-51)/(-33) - ((-289)/17 + 18). Which is the nearest to 1/27? (a) -1 (b) u (c) -3 (d) 4/11
d
Suppose 2*o = 4*x - 82, 0 = -x - 5*o + 3 + 45. Let q = -16 + x. Let j = 1264/11033 + 2/649. What is the closest to -0.2 in j, 0.4, q?
j
Let y = 0.3 - 0.4. Let u = -1796.3 + 1798.3. Which is the closest to y? (a) u (b) 0.019 (c) 4/7
b
Let t = 4 - 31/8. Suppose -18*h + 179 = -37. Suppose 0 = h*m - 166 + 178. Which is the closest to m? (a) -6 (b) 2/5 (c) t
c
Let j = 288 - 317. Let k = -95 - -65. Let y = k - j. Which is the nearest to y? (a) -0.2 (b) 5 (c) -2/9
c
Let o = -8051 - -8051.2. Let f = 3 + -2.9. Which is the nearest to 3? (a) o (b) -3 (c) f
a
Let g be (-3)/(-24)*(1 + 1). Suppose 7*z - 17 - 4 = 0. Let h(q) = -q**2 - 65*q - 713. Let f be h(-51). Which is the nearest to f? (a) -3 (b) g (c) z
b
Let o = -1.67 + -131.33. Let h = o + 133. What is the nearest to -2/3 in -2, -0.5, h?
-0.5
Let q be ((-1)/(-3))/((-1)/3*-5). Let d = -49.016 - -0.016. Let b = d - -48. What is the nearest to -2/3 in 0.4, q, b?
b
Let z = -3 + 0. Let i = -1 - -1.4. Let n = 258244/3 + -86082. Which is the closest to n? (a) 4 (b) z (c) i
c
Let j = 14/995 + -3097/7960. Which is the closest to -44? (a) -2 (b) 0.3 (c) 0.1 (d) j
a
Let b = 1.8666 - 1.8666. What is the closest to b in -2/53, 3, -2/15, -9?
-2/53
Let r = -18165 - -18307. What is the closest to -1 in -3, 3/8, r, -12?
3/8
Suppose 3*q + 4*s - 17 - 18 = 0, -10 = -4*q + 2*s. Let g be (-10)/66*(-6)/q. Let l = 316 - 9798/31. Which is the closest to -1? (a) 2 (b) l (c) g
b
Let v be (-21)/(-23) + 3/(-3). Let r = 73/37 - 585/259. Which is the nearest to -3/38? (a) 1/10 (b) v (c) r
b
Suppose 19*l + 6944 + 2727 = 0. Let x = l + 476. What is the nearest to x in 0.3, -0.4, 0.2?
-0.4
Let f = -101.94 - -102.24. Let h be 2/7 + 0/1. Let x = 0.06 - 0.66. What is the closest to -0.1 in x, h, f?
h
Suppose -11 - 5 = 2*p. Let y be 4/(-11)*(-2)/p. Let d = -2/49 - 39/245. Which is the closest to 2/3? (a) y (b) d (c) 0.1
c
Let w = -1.12 - 52.38. Let p = -50 - w. Let q = p - 3.3. What is the nearest to q in -5, -1/3, -3?
-1/3
Let l = 593/5 + -118. Let f be (-17)/(153/18) - 2. Let j = -0.43 - -0.63. What is the closest to j in 2/7, f, l?
2/7
Let t(u) = 393*u - 5102. Let h be t(13). What is the closest to 1/24 in h, 1, -1?
1
Let o = -393.33 + 389. Let f = o + -0.67. What is the nearest to -5 in 0.4, 4, f?
f
Let m = -2601 - -2603. What is the nearest to 4 in 7/3, -2/5, m?
7/3
Let a = -1.3 - -1.3. Let y = 3.846 + -2.846. What is the nearest to a in y, -21, 3/4?
3/4
Let h = -387 - -729. Let m = h + -340. Which is the closest to -1/4? (a) 0 (b) 0.5 (c) m (d) -0.2
d
Let n = -562.4 - -112.4. Let b = n - -451. W | {
"pile_set_name": "DM Mathematics"
} |
3 (e) 0
c
Which is the nearest to 0? (a) 89 (b) -8895 (c) 3
c
What is the closest to 14.6 in 0, -42/341, 0.3, 4?
4
Which is the nearest to -5054? (a) -23 (b) 1/5 (c) -3
a
Which is the closest to 0? (a) 0 (b) -551409 (c) 0.2 (d) -0.73
a
Which is the nearest to -11? (a) 11 (b) -204 (c) 7 (d) -0.3
d
What is the closest to -1/3 in 106, -17.73, 1?
1
Which is the closest to 1/4? (a) 0.02846 (b) 2/11 (c) 0 (d) 0.0025
b
What is the closest to 1 in -15, 93/4, -107/2, 0.4, -5?
0.4
Which is the closest to -17? (a) 1/3 (b) 88424 (c) 3
a
What is the closest to -1 in -19, -1.9, 1/8, -373, -1/40?
-1.9
Which is the nearest to 0.2? (a) 0.053 (b) -5/11 (c) -5 (d) -3 (e) 1938
a
What is the closest to -4 in 21, -68, 1, 2/9, 0.166?
0.166
What is the nearest to -3/7 in 4, -1044, -0.162?
-0.162
What is the nearest to 2 in 537, -2/17, -368/3?
-2/17
Which is the closest to -5/4? (a) 2/9 (b) 4 (c) 2/83 (d) -3/7 (e) -66 (f) -11
d
Which is the nearest to 2? (a) -5/2 (b) -29 (c) -22.57
a
Which is the closest to -125? (a) 3/2 (b) 1/3 (c) -2 (d) 534 (e) 5
c
What is the nearest to -0.3 in 4, -37, -0.48, -0.2549, -1/5?
-0.2549
What is the closest to -2/7 in -6, -3, -6/23, 6256, 1/9?
-6/23
What is the nearest to 0.2 in 2/55, -20408, -1/5?
2/55
What is the nearest to 127/725 in -1/2, 3/4, 3, 2?
3/4
What is the closest to -2/7 in 1/4, -61, -33421?
1/4
What is the closest to -1 in 4, -2/7, 2/13, -2, -37.2?
-2/7
What is the nearest to -1/2 in -0.32, 3/10, -4, 5, 11/4?
-0.32
Which is the nearest to -10? (a) 0 (b) -0.03 (c) -0.064 (d) -8 (e) 0.01
d
Which is the nearest to -2? (a) 1.6 (b) -3/98 (c) -0.2
c
What is the nearest to -0.1 in -3/4, 11/6, 52.923?
-3/4
Which is the closest to -100? (a) 0 (b) 2 (c) -0.5 (d) 2/21 (e) 4362
c
Which is the nearest to -5? (a) 1/4 (b) -2 (c) 292/9 (d) -1/2 (e) 0
b
Which is the closest to -75/7? (a) 1/821 (b) -2 (c) -0.1
b
Which is the closest to -1? (a) 6/11 (b) -0.02 (c) 109066
b
Which is the closest to 61/4? (a) -5 (b) -0.87 (c) 0.2 (d) 0.3 (e) 0.4
e
What is the closest to -447 in -2, 3/19, 0.1, 0.3, 2/161, -3?
-3
What is the nearest to 5 in 3, 8208, -0.4, -6/7, 1/2?
3
Which is the nearest to 0.1? (a) -68/21 (b) -1 (c) -25503
b
What is the nearest to 2/7 in -0.8, -5398, 4, -0.03?
-0.03
Which is the nearest to -3.31? (a) -2 (b) 2 (c) 2/35 (d) -0.02 (e) 3
a
What is the nearest to 2 in 13, -260/21, 0.047?
0.047
What is the closest to 3/50 in 1/5, -1093, -1.2, -0.5, 0?
0
What is the closest to 0.044 in 17.7, -7, -0.03, 0.1?
0.1
Which is the nearest to -4? (a) -7 (b) 9.41 (c) 0.1
a
Which is the nearest to 1128? (a) -482 (b) 0.3 (c) -7
b
What is the closest to 0.03175 in 2/3, 252, 0.5?
0.5
Which is the nearest to 0.2? (a) 2 (b) 197 (c) -1 (d) 4.1
c
Which is the closest to 0? (a) -0.2 (b) 1881 (c) -0.046 (d) 0.021
d
What is the nearest to 5807 in 0.3, 2/23, -2/7, -2.6?
0.3
Which is the closest to 0.13? (a) 0.02 (b) -4 (c) 2/9 (d) 455 (e) 9
c
Which is the closest to 2/9? (a) -3 (b) 4 (c) 2/25 (d) 22025 (e) 1
c
What is the closest to 774 in 4, 3, -0.3, -2/3, 2349?
4
Which is the closest to 181103? (a) -0.3 (b) -5 (c) 1/4 (d) -0.2 (e) 0.2
c
What is the closest to -2/85 in -0.5, -14/15, 2/153463?
2/153463
What is the closest to 0.1 in 0.11, -0.012, 124?
0.11
What is the nearest to -138/13 in -32, 5, 2/9, 1, 0.3, 0.05?
0.05
What is the nearest to 0 in -0.5, -445165, 1/5, 0, -2, 0.4?
0
Which is the nearest to -38? (a) 1/11 (b) 0.526 (c) 3 (d) -52
d
What is the closest to -2/11 in -5, 2/7, -5.3138, 3/4, -4?
2/7
Which is the closest to -3/8? (a) -149 (b) -109 (c) 0.5 (d) -2 (e) 2
c
Which is the nearest to 327233? (a) 5 (b) 0.2 (c) 2/21 (d) -0.11
a
What is the closest to -24 in 512, 4, 2/139, -2?
-2
What is the nearest to -20/3 in 0.03, 0, -0.3, 2, -459/8?
-0.3
What is the closest to 0.2 in 55678, -0.3, 4, -1/4, -0.5?
-1/4
What is the nearest to -2/3 in -6/11, 3, -1/2, -18689?
-6/11
Which is the nearest to -18? (a) 1.2 (b) 7/3 (c) -9 (d) 0.03
c
Which is the nearest to 6? (a) 3 (b) 202 (c) 4 (d) 7 (e) 964
d
What is the closest to -28/107 in -1387, 1/7, -2/3?
1/7
Which is the nearest to 23484? (a) -2/5 (b) -6/19 (c) 0.5 (d) -2 (e) -6
c
What is the nearest to 1/3 in -4, 2, -9627.46, -2/9?
-2/9
Which is the closest to 1.02? (a) -1/5 (b) 0.5 (c) -1149/2 (d) 10
b
What is the closest to -94 in -119, 1, 3/4, -21, -5?
-119
What is the closest to -2/11 in 2270/9, -0.7, 2?
-0.7
What is the nearest to -0.2 in 1/30, 12.21, 7?
1/30
What is the closest to 0.1 in -3, -3/7, 0.063, 3, 96157?
0.063
Which is the nearest to 1.2? (a) 1286 (b) 0.4 (c) 4 (d) 90
b
What is the nearest to 1.2 in -2, -0.18, 0.1, -0.072, 1.7?
1.7
What is the nearest to 0.3 in -1, 8, -4, -5/11?
-5/11
What is the closest to 1/10 in 3, -198, -0.8, -610?
-0.8
Which is the closest to -494658? (a) 5 (b) -2/3 (c) -16 (d) 4
c
What is the closest to 135 in 3, 436, -2/9?
3
What is the closest to 1/16 in 90, -15, -1, 4?
-1
What is the closest to -17 in -1/7, -4/5, -8.9, -0.3, 0.756?
-8.9
Which is the closest to 1? (a) 3/2 (b) 0.66 (c) -4 (d) -4/27 (e) 68
b
Which is the closest to 0.0303? (a) 4 (b) -0.02 (c) -710
b
Which is the nearest to 1? (a) -3/7 (b) 2 (c) 2390/7 (d) -2/3 (e) 0.2
e
What is the closest to 6 in 2/3, -66680, 5?
5
What is the nearest to 0 in 169046, -0.1, -9/5, 4, -3?
-0.1
Which is the nearest to 0.9? (a) 4 (b) -3/2 (c) -15 (d) 2982 (e) 5
b
Which is the nearest to 2? (a) 0.6 (b) -3 (c) 87/4 (d) -5 (e) 11
a
Which is the closest to -4/5? (a) -124 (b) -1.5 (c) 0.3 (d) 52
b
Which is the closest to -8904? (a) 6 (b) 9 (c) -0.5 (d) 5
c
Which is the closest to -2? (a) -1/18 (b) 5 (c) 3 (d) 0.20117
a
Which is the nearest to 0? (a) -0.06 (b) -2 (c) -0.4 (d) 0.05 (e) -867/13
d
Which is the closest to 1247? (a) -3.4 (b) 20 (c) -4
b
Which is the closest to -0.1? (a) 8.6 (b) 0.49 (c) -0.31 (d) 0 (e) 0.6 (f) 1/5
d
Which is the closest to -1? (a) -23 (b) 3.25 (c) -0.26 (d) 7
c
What is the closest to 1 in -36, -19490, 3?
3
What is the closest to -2 in -0.085, -1/382, 2, 0, 5?
-0.085
What is the closest to -1/4 in -4166, -2/5, 13, -56?
-2/5
Which is the closest to -2? (a) -5/6 (b) -0.4 (c) -3672603
a
Which is the nearest to -0.1? (a) -35/246693 (b) 0.5 (c) -2/3
a
Which is the closest to -2? (a) 594 (b) -577 (c) -3/5
c
What is the closest to -33.2 in 0.4, 4.06, 1/2?
0.4
What is the nearest to 4/13 in -5, -322192, -4, 3, 7?
3
Which is the nearest to 0.4? (a) -0.1 (b) -4 (c) -3/7 (d) -2/5 (e) 20/129 (f) -2
e
What is the nearest to 0.4 in -2.582, -0.3, -1/7, 3, 2?
-1/7
What is the nearest to 117/7 in 2/93, -1/4, 1/4, -2?
1/4
Which is the nearest to 0.1? (a) -1 (b) -36876 (c) 1 (d) -2
c
What is the closest to 1 in 2/21, 1/2637, 0.2, 0.1, -0.3?
0.2
What is the closest to -12/5 in 0, -2, 679?
-2
Which is the nearest to -2/15? (a) -1.971 (b) -4 (c) -395 (d) 1/6 (e) -0.3
e
What is the closest to 0.6 in 24, 3, 184?
3
What is the closest to 1 in 0.278, 1/100, -0.2, 2, 0.1, -44?
0.278
What is the closest to 1213 in -2/9, 2/55, 1?
1
Which is the nearest to 1? (a) 265592 (b) -3/4 (c) -4/7
c
What is the closest to 5 in 14, 2/51, -28, 3, 6/5?
3
Which is the closest to -0.02? (a) 2/7 (b) -1 (c) 1/5 (d) -306.02
c
What is the nearest to -14/3 in -1/9, 2/5, -19, -2/33?
-1/9
What is the closest to -4/9 in 734/3, -1, -15, 0.2?
-1
What is the nearest to -2/11 in -15, 0.3, 1, -20, -4, -38?
0.3
Which is the closest to -1? (a) -9/2 (b) 30 (c) 6.8 (d) -3 (e) 1/2 (f) 2
e
Which is the closest to 8/11? (a) 54/19 (b) -0.3 (c) -119 (d) -2/11
d
Which is the nearest to -256? (a) 12 (b) 9 (c) -0.9 (d) -2/7
c
What is the closest to -0.4 in 1/2, 32, 0.28, 10.5?
0.28
Which is the nearest to -3? (a) -8/5 (b) 3 (c) -3/19 (d) 3.9 (e) -3/23
a
What is the closest to -82 in 11, -10, -4, 2/97?
-10
Which is the nearest to 3/2? (a) 11 (b) 6 (c) -0.04 (d) 0.4 (e) -1/6 (f) -72
d
Which is the nearest to -34? (a) 5 (b) 2 (c) -43 (d) -0.03
c
What is the nearest to -13 in 0.4, 0.27, 5, 20214, 2?
0.27
What is the nearest to -1.295 in -19/85, 3, -2/9?
-19/85
Which is the closest to 5/13? (a) 2 (b) 3 (c) -1498 (d | {
"pile_set_name": "DM Mathematics"
} |
86784589 prime?
True
Is 22169882479 a composite number?
True
Is 4107055045 a composite number?
True
Is 13122517327 prime?
True
Is 3268567957 a prime number?
True
Is 459698039 a prime number?
False
Is 3901975739 a prime number?
False
Is 12067871197 prime?
False
Is 20399297077 a prime number?
True
Is 199853813 a composite number?
False
Is 1561733021 a prime number?
True
Is 1013031623 prime?
True
Is 819357391 a composite number?
True
Is 17521763437 composite?
False
Is 52894607099 a composite number?
False
Is 61289038487 a prime number?
True
Is 205006631 a composite number?
False
Is 697734461 prime?
False
Is 9383999659 a prime number?
False
Is 46497833029 prime?
True
Is 64776508673 prime?
False
Is 1551492967 composite?
False
Is 136065657943 a composite number?
True
Is 2026901459 a prime number?
False
Is 55973726929 prime?
True
Is 442877068223 a composite number?
False
Is 26888832959 a composite number?
False
Is 1288229687 a composite number?
False
Is 56943134419 composite?
True
Is 12253208717 a composite number?
False
Is 64143510211 composite?
True
Is 369355949 a prime number?
False
Is 52291194689 a prime number?
True
Is 1282256557 prime?
False
Is 4534983177 composite?
True
Is 544695737 a prime number?
False
Is 2503366309 prime?
False
Is 994861949 a prime number?
False
Is 148059607 composite?
True
Is 3269693939 prime?
True
Is 4468156079 a prime number?
False
Is 442053149 a composite number?
True
Is 2230320511 a composite number?
True
Is 11544695203 a composite number?
True
Is 25394222081 composite?
False
Is 1580887391 a composite number?
False
Is 733411859 a prime number?
False
Is 3678438199 prime?
True
Is 2229223079 composite?
True
Is 2578566479 composite?
True
Is 461449439 a prime number?
False
Is 3195508865 a composite number?
True
Is 434387147 a prime number?
True
Is 30431891927 a prime number?
False
Is 3921097133 a composite number?
False
Is 15071418139 prime?
True
Is 8843461882 a composite number?
True
Is 1696712509 a composite number?
False
Is 184861885867 a prime number?
True
Is 678610337 prime?
True
Is 93282811007 a composite number?
False
Is 21699448311 composite?
True
Is 1118043877 composite?
False
Is 170881425851 prime?
True
Is 104015302613 a prime number?
True
Is 20780321767 a prime number?
False
Is 8204968969 a composite number?
True
Is 169619707813 a composite number?
True
Is 5093983579 a prime number?
False
Is 13701040339 composite?
True
Is 1298302039 composite?
False
Is 71481497411 a composite number?
False
Is 37237665841 a prime number?
True
Is 1618225391 prime?
False
Is 125804680091 a prime number?
False
Is 663969521 a prime number?
True
Is 309600505051 prime?
True
Is 7871137679 a prime number?
True
Is 20480981669 composite?
False
Is 2320467781 prime?
False
Is 750680741 composite?
False
Is 1088085329 composite?
False
Is 1405410073 prime?
True
Is 3130554269 a composite number?
False
Is 11026128559 composite?
False
Is 2456470421 a composite number?
True
Is 59235996577 a prime number?
True
Is 9841598867 a composite number?
True
Is 525845381 a composite number?
False
Is 828435379 prime?
True
Is 47575092319 a prime number?
True
Is 61300301 a prime number?
False
Is 33870450819 composite?
True
Is 151325677 a composite number?
False
Is 85041629599 prime?
False
Is 1199766734 prime?
False
Is 129203563283 composite?
False
Is 61063950593 composite?
False
Is 122084518 prime?
False
Is 275498338 prime?
False
Is 1275292913 a prime number?
False
Is 92356333931 composite?
False
Is 2795666563 prime?
True
Is 11937484033 a prime number?
True
Is 776614589 prime?
True
Is 7470533423 a composite number?
True
Is 1793021 a prime number?
False
Is 1549637059 a prime number?
True
Is 815051801 composite?
True
Is 144697305439 a prime number?
False
Is 2271752173 prime?
False
Is 20630204018 prime?
False
Is 115927987547 composite?
True
Is 3648502261 a composite number?
False
Is 44237671 prime?
False
Is 3867896531 a prime number?
False
Is 58261251005 a prime number?
False
Is 60539389111 a composite number?
False
Is 121350137 a composite number?
False
Is 122011480099 prime?
True
Is 2220432971 prime?
False
Is 102596520406 a composite number?
True
Is 1551857231 prime?
False
Is 460184639 a composite number?
False
Is 42398523119 composite?
True
Is 696093683 composite?
False
Is 34533383 a prime number?
False
Is 6311675677 a composite number?
False
Is 76219259269 a composite number?
True
Is 1121627123 composite?
False
Is 1432826819 composite?
True
Is 11346175669 composite?
True
Is 45831991 composite?
True
Is 18116349 composite?
True
Is 410076691 composite?
False
Is 16608916111 a prime number?
False
Is 4235381893 prime?
True
Is 29670328789 composite?
True
Is 1120508509 a composite number?
False
Is 22824452877 a composite number?
True
Is 24395263 a composite number?
False
Is 869835809 a composite number?
True
Is 2300088191 composite?
False
Is 3966456119 a composite number?
False
Is 774903029 a composite number?
True
Is 24422813837 composite?
True
Is 1739908721 a prime number?
True
Is 23469647681 a composite number?
False
Is 23966099657 a composite number?
False
Is 449420939 a prime number?
False
Is 1226367427 composite?
False
Is 3219047479 composite?
False
Is 1226060207 prime?
False
Is 5292181723 a composite number?
True
Is 1758904417 a prime number?
True
Is 35688875393 a prime number?
False
Is 672487657 a composite number?
False
Is 953243017 a composite number?
True
Is 269814761 a composite number?
False
Is 4542204571 a composite number?
False
Is 2064241693 composite?
False
Is 2785762087 a prime number?
False
Is 575960767 composite?
False
Is 1067664061 composite?
True
Is 16735450201 prime?
False
Is 8417885009 prime?
True
Is 1627347373 a prime number?
True
Is 138422549 prime?
False
Is 1935542051 prime?
True
Is 17514544057 a composite number?
True
Is 1296183607 a composite number?
True
Is 24008956313 prime?
False
Is 15564681239 a prime number?
False
Is 2144844971 a composite number?
True
Is 11045386841 composite?
False
Is 22524903637 prime?
True
Is 165393817 a composite number?
False
Is 10952065031 a prime number?
True
Is 3700515827 a prime number?
True
Is 1045695643 a prime number?
True
Is 8376693263 prime?
False
Is 288469975967 a composite number?
False
Is 14097913609 composite?
True
Is 85813037509 a prime number?
False
Is 125536601 a composite number?
True
Is 14828096753 composite?
True
Is 1368085483 a prime number?
False
Is 11904885886 prime?
False
Is 11873049427 prime?
False
Is 1980933421 a composite number?
True
Is 8223723787 a prime number?
True
Is 2022182791 prime?
True
Is 28762193531 a prime number?
True
Is 1356350942 prime?
False
Is 10802946333 prime?
False
Is 240804353 a prime number?
False
Is 1497892223 a prime number?
True
Is 114223732307 composite?
True
Is 422024372431 a prime number?
True
Is 3746240959 a prime number?
True
Is 4719170926 prime?
False
Is 349572617 prime?
True
Is 3630005539 a prime number?
True
Is 4045693909 a composite number?
False
Is 725753761 prime?
True
Is 80468194199 prime?
False
Is 3010517621 a prime number?
True
Is 1634876491 a composite number?
False
Is 4164247093 prime?
True
Is 7826886761 a composite number?
True
Is 7047105151 composite?
True
Is 193822973815 a prime number?
False
Is 468308263 a prime number?
True
Is 837111307 composite?
True
Is 9334244971 a prime number?
True
Is 5654813809 composite?
False
Is 668135807 composite?
True
Is 1789062653 prime?
False
Is 145211684599 composite?
True
Is 120815033 composite?
False
Is 32725698931 a prime number?
True
Is 93281647 prime?
False
Is 3511286741 composite?
False
Is 349680179 a composite number?
False
Is 2983987661 a prime number?
False
Is 2234797671 a prime number?
False
Is 532296277 prime?
True
Is 2788668263 composite?
True
Is 15783785819 prime?
False
Is 15298034723 a composite number?
True
Is 84178799 a composite number?
False
Is 17870755471 a prime number?
True
Is 11731451 a prime number?
True
Is 1004542603 a prime number?
True
Is 377511257 prime?
False
Is 6378877039 a prime number?
False
Is 7385208953 a composite number?
False
Is 12021809 a prime number?
True
Is 19151616773 a composite number?
False
Is 32069087 a prime number?
False
Is 26038530521 a composite number?
False
Is 102399403 a composite number?
True
Is 1333898069 composite?
True
Is 237371179 a prime number?
True
Is | {
"pile_set_name": "DM Mathematics"
} |
+ k. Suppose 6*x - 3*x - 24 = n. List the prime factors of x.
2
Let m(o) = o - 3. Let n be m(5). Suppose 2 = n*l - 2. Suppose 0 = l*u - 4*u + 36. List the prime factors of u.
2, 3
Let o = 50 + -33. Let s = 2 - 9. Let h = s + o. What are the prime factors of h?
2, 5
Let v(a) = 2*a - 22. Let z be v(9). Let o = 2 + -3. List the prime factors of 0 - (z + (o - 1)).
2, 3
Suppose 3*h - 68 = 37. Suppose 5*t = 25 + h. Let z = t - 4. List the prime factors of z.
2
Suppose 3*x - 8*x = -10. Suppose -g + 4*g + s + x = 0, -5*s - 20 = 5*g. List the prime factors of g/(-3) - (-98)/6.
2
Suppose 2*v = 5*d - 19, v + 5*d - 42 = -14. Let l be -19 - (0 - (-2 + v)). Let z = -9 - l. List the prime factors of z.
3
Let q = -3 + 5. Suppose 3*t - 18 = -5*w, w = 2*w - t - q. List the prime factors of w.
3
Let g(k) = -7*k**2 - 4*k + 2. Let d(z) = -6*z**2 - 5*z + 2. Let w(q) = 3*d(q) - 4*g(q). List the prime factors of w(1).
3
Let y = 5 - 4. Let z be ((-130)/y)/(-2) - 1. Suppose -6*k + 2*k = -z. What are the prime factors of k?
2
Let k be (-2)/5 + 57/5. Suppose -3*p = -37 - k. Suppose -p = -3*n + 2*n. What are the prime factors of n?
2
Let u = 81 - 43. List the prime factors of u.
2, 19
Let n = 11 - 7. Suppose -y - n*y + 165 = 0. What are the prime factors of y?
3, 11
Let o = -560 - -818. What are the prime factors of (-2)/(-4*3/o)?
43
Let y be (4 + -2)/(-2) + 10. Let t = 90 - 63. What are the prime factors of 114/t + (-2)/y?
2
What are the prime factors of 30/(-2 - 46/(-20))?
2, 5
What are the prime factors of (-237)/(-21) - (-4)/(-14)?
11
Let g(a) = -5*a**2 + 4*a + 13. Let r(y) = -9*y**2 + 9*y + 25. Let f = 6 - 12. Let d(k) = f*r(k) + 11*g(k). What are the prime factors of d(-8)?
3
Suppose -7*l - 120 = -10*l. What are the prime factors of l?
2, 5
Let h(d) = 3*d**3 - 11*d**2 + 6*d - 4. Let n(a) = 10*a**3 - 34*a**2 + 18*a - 12. Let j(q) = -7*h(q) + 2*n(q). What are the prime factors of j(8)?
2, 5
Let f = 104 - 35. List the prime factors of f.
3, 23
Let o(u) = u**2 - 3 + u**2 + 4*u + 6. Let x be 8/(-2) + (-7 - -9). List the prime factors of o(x).
3
What are the prime factors of ((-14)/8 + 1)/((-2)/272)?
2, 3, 17
Suppose -5*f + o = -0*o - 30, 4*o = 0. Let s = -12 + f. List the prime factors of ((-9)/s)/(2/12).
3
Let r = 6 + -2. Suppose 2 = -r*h + 10. Suppose -h*n + 1 + 7 = 0. What are the prime factors of n?
2
Let i(q) = -2*q**2 + q - 3. Let o be i(-5). Let z = o + 129. Suppose 5*d = 2*c + c - 53, 5*c - 4*d = z. List the prime factors of c.
11
Suppose -w - w = -5*v + 7, 2*v - 22 = -4*w. Suppose -w*y - y = -25. Suppose -19 = -y*l + 6. List the prime factors of l.
5
Let s = -9 - -16. List the prime factors of (19 - s) + -4 + 1.
3
Let w(k) = -39*k + 2. What are the prime factors of w(-3)?
7, 17
Let t(z) = z**3 + 4*z**2 + 4*z + 2. Let f be t(-2). Suppose -4*d = -f*d - 18. What are the prime factors of d?
3
Suppose 9*k - 12*k = -855. List the prime factors of k.
3, 5, 19
Let n = 98 - 96. What are the prime factors of n?
2
Let p(h) = 7*h**2 - 6*h**2 + 6*h**2 + h - 2*h. Suppose -2*w = -3*w + 1. What are the prime factors of p(w)?
2, 3
Suppose 2*o - 42 - 2 = 0. Let q = o - 12. List the prime factors of q.
2, 5
Let d(l) = 2*l**2 + 5*l - 1. Suppose 4*c + 4 = i + i, -3*c - 4*i = -8. Suppose 10 = -p - 3*s, 0 = -3*p + 4*s - c - 4. List the prime factors of d(p).
11
Suppose 0*m = -3*m. Suppose m = -5*b + 2*z - 348, -b + 5*b = 5*z - 292. What are the prime factors of (-2)/(-4) - b/8?
3
Suppose 64*k + 267 = 65*k. List the prime factors of k.
3, 89
Let s(v) be the first derivative of v**2/2 + 5*v - 4. Let n be s(5). Suppose -n = -0*m - m. List the prime factors of m.
2, 5
Suppose 12 = 5*l - 2*l. Suppose l*h = 4*j + 20, -28 + 3 = 5*j. List the prime factors of 11 - (h - 2*-1).
3
Suppose 0 = 7*t + 23 - 1808. What are the prime factors of t?
3, 5, 17
Let u be (13 + 1)/2 - 1. Let l(a) = -a**3 + 6*a**2 + 2*a - 6. What are the prime factors of l(u)?
2, 3
Let a(g) = g**2 + 11*g - 5. Let m be a(-11). Let y = 8 + m. List the prime factors of y.
3
Suppose 0 = -2*o + 5*c + 7, -2*o + 16 + 1 = 5*c. Suppose 4 = -o*y + 2*y. List the prime factors of 4/(2 + y - 0).
2
Suppose 4*c + 4*m - 20 = 0, c + 5*m = 6*c - 55. Let j(v) be the first derivative of -v**4/4 + 8*v**3/3 + v**2/2 - v + 3. What are the prime factors of j(c)?
7
Let y be (-10)/(-3) - (-2)/3. Suppose r = 2*r - 5*b + 23, y*r = -4*b - 140. Let z = -18 - r. What are the prime factors of z?
3, 5
Suppose 15 = 2*o + z, 4*o - z - 9 = 4*z. What are the prime factors of o?
2, 3
Let r be -15*((-12)/(-9))/(-2). Let f = r - 6. What are the prime factors of f?
2
Let s be -1*(-26 - -3) - -1. Suppose -5*v + s + 46 = 0. What are the prime factors of v?
2, 7
Suppose 13*t - 10*t = -54. Let h = 54 + t. What are the prime factors of h?
2, 3
Let a be (3/(-1))/(3/2). Let s(q) = -q**3 + 2*q + 1. Let g be s(-2). Let w = a + g. List the prime factors of w.
3
Let d(w) = w**2 + 3*w + 4. Let m be d(-3). Suppose 0 = u - 2*u - m. List the prime factors of u + 5 + (-1 - -2).
2
Let h = 110 - -85. List the prime factors of h.
3, 5, 13
Let l be 8/(-12) - 104/(-3). Suppose -k = k - l. What are the prime factors of k?
17
Let r be (3/4)/((-3)/(-12)). Suppose 0 = -r*j + 77 + 13. What are the prime factors of j?
2, 3, 5
Suppose -3*q - 26 = -5*n - q, -5*q - 27 = -3*n. Suppose -3*x + 7 = -5. Suppose -3*u + 3 = 0, -u - 11 = -n*s + x*u. List the prime factors of s.
2
Suppose -5*u - 6 = 4*c - 85, 3*u - 4*c = 41. List the prime factors of u.
3, 5
List the prime factors of (-2675)/(-50) - 1/2.
53
Let r(k) = -k**2 + k + 4. Let v(g) = -2*g**2 + 4*g + 12. Let n(y) = -11*r(y) + 4*v(y). List the prime factors of n(-3).
2
Suppose 3*c + 5*v - 65 = 48, 127 = 3*c - 2*v. What are the prime factors of c?
41
Let c(h) = -h**2 + 9*h - 10. Let a be c(7). Suppose 0 = -a*n + 2*n + 34. List the prime factors of n.
17
Let r(o) = 2*o**2 + 5*o + 2. Let i = -2 + -2. What are the prime factors of r(i)?
2, 7
Suppose -5*t = -5*o - 40, -6*o + 20 = -2*o. Suppose -3*d + 15 = 4*b, -4*b + 11 = -4*d + b. Let y = t - d. What are the prime factors of y?
2, 3
Let n be (-3)/(-4) - (-414)/24. Let l be (1 + -2)*0/1. Suppose l = -s + n - 1. List the prime factors of s.
17
Let h = 492 + -342. What are the prime factors of h?
2, 3, 5
Let u = -8 + 7. Let h(b) = -6*b + 1. What are the prime factors of h(u)?
7
Let x be 31 + (-1 - (2 + -2)). Let w = x - -10. Suppose 0*m - 4*m + w = -3*a, -4*m + 4*a + 44 = 0. What are the prime factors of m?
7
Let v(t) = -t**2 - 11*t + 8. List the prime factors of v(-10).
2, 3
Let u be (-450)/(-12) + 1/(-2). Let p = u + -13. Suppose 0*y = 4*y - p. What are the prime factors of y?
2, 3
Let q(g) = 2*g**2 + 15*g + 20. What are the prime factors of q(-10)?
2, 5, 7
Suppose 0 = -r - b + 93 + 42, -135 = -r - 5*b. What are the prime factors of r?
3, 5
Suppose m = -0*m + 64. Suppose -5*v + v = -4*c + m, -4*v - 4 = c. List the prime factors of c.
2, 3
Let v = 0 - -4. Let l be (15/2)/(2/v). What are the prime factors of (0 - -1)*(-3 + l)?
2, 3
Let n(h) = -h**2 + 18*h - 15. What are the prime factors of n(16)?
17
Let l(g) = -g**2 - g + 1. Let k be l(2). Let v(c) = -c**2 - 6*c - 1. Let z be v(k). Suppose z*f = 5 + 3. List the prime factors of f.
2
Let s(i) = -i + 7*i - 6*i**2 + 7 - 3 - 2*i**3. Let z(t) = t**3 + 7*t**2 - 6*t - 4. Let k(j) = 2*s(j) + 3*z(j). What are the prime factors of k(8)?
2, 3
Let f(y) be the third derivative of -y**5/60 - y**4/24 + 29*y**3/6 + 2*y**2. Let z be f(0). Suppose -4*u + z + 11 = 0. List the prime factors of u.
2, 5
Let i = -12 + 17. Suppose -5*k + 135 = i*j, k = 5*j - 124 + 19. List the prime factors of j.
2, 11
Suppose 0 = 4*q - 2*x - 214 - 38, -4*q - 3*x = -262. List the prime factors of q.
2
Let c be 5*(2 - 1) - 3. Suppose -c*b - 3*b = -300. Suppose 2*p + 15 = 3*p - 2*r, 4*p - b = 3*r. List the prime factors of p.
3, 5
Suppose 0*m = -4*m + 4. Let d(b) = -2*b + b + m + 1 + 2*b. What are the prime factors of d(6)?
2
Let g = 6 - 3. Let h be (-46)/(-3) + g/(-9). Suppose -h = -3*d - 2*d. What are the prime factors of d?
3
Let c be (-2)/((-6)/(-9)) - -3. Suppose -5*j - a + 22 = -23, c = -3*j - 4*a + 27. List the prime factors of j.
3
Let g(o) = o**3 - 6*o**2. Let z be g(6). Suppose z = 2*m + m. Suppose m = -4*d - d + 15. List the prime factors of d.
3
Suppose 6 - 1 = -5*x. List the | {
"pile_set_name": "DM Mathematics"
} |
*i**3 + 11*i - 3*i + 0*i. Calculate 2*l(o) - 133*z(o).
-38*o**3
Let g(f) = 9*f**2. Let z(u) = 17*u**2 - u. Suppose 6600*a - 6595*a + 35 = 0. Determine a*g(v) + 4*z(v).
5*v**2 - 4*v
Let p(j) = 7*j + 4. Let y(u) = u**2 - 13*u + 20. Let f be y(13). Suppose -28 = 4*k - 4*x, 0 = 4*x - f + 16. Let i(z) = -8*z - 5. Determine k*p(q) - 5*i(q).
-2*q + 1
Let d(o) = -8 - 3*o + o**3 - 3*o**3 + 4*o**3 + o**2. Let s(g) = -3*g**3 - 2*g**2 + 4*g + 9. Suppose -23*t - 265 = -460 + 264. Determine t*s(w) - 4*d(w).
w**3 + 2*w**2 + 5
Let j(b) = b**2 + b - 1. Let h(v) = -4*v**2 - 5*v + 11. Let s be (8/6)/(46/207). Let c be (-1 + 1 + 1)/(s/36). Calculate c*j(d) + h(d).
2*d**2 + d + 5
Let q(h) = -7*h**2 - h. Let k(m) = 15*m**2 + 3*m. Let x(j) = 4*k(j) + 9*q(j). Let i(s) = -16*s**2 + 14*s. Suppose -70 = -39*z + 4*z. Determine z*i(n) - 11*x(n).
n**2 - 5*n
Let a(s) = 35*s + 41*s + 43*s - 2 - 123*s. Let m(x) = -8 + 31 - 22. Give -2*a(i) - 4*m(i).
8*i
Let z(v) = -15*v + 10. Let u(q) = -9*q + 2. Let l(b) = 4*u(b) - z(b). Let y(a) = a. Give l(f) + 6*y(f).
-15*f - 2
Let n(o) = -6*o**2 + 2*o + 5. Let u(a) be the second derivative of 17/12*a**4 - 7*a**2 + 0 - 44*a - a**3. Give -8*n(d) - 3*u(d).
-3*d**2 + 2*d + 2
Let f(b) = 4*b**2 + 149*b + 33. Let r(q) = -q**2 - 37*q - 9. Determine -6*f(u) - 22*r(u).
-2*u**2 - 80*u
Let x(d) = -d**2 + 13*d + 5. Let s(h) be the second derivative of h**4/12 - h**3 - 3*h**2/2 - 7856*h. Determine 5*s(r) + 3*x(r).
2*r**2 + 9*r
Let b(v) be the first derivative of 9*v**2/2 - 6*v + 7. Let k(o) = 5*o - 3. Suppose 0 = -8*z + 9*z - 3. Let f = 6 - z. Give f*b(l) - 5*k(l).
2*l - 3
Let v = -91 + 73. Let p be (-4)/v - 130/18. Let t(y) = y - 5. Let x(u) = -3*u + 11. Let l be 1/(-2)*12/2. Determine l*x(f) + p*t(f).
2*f + 2
Let y(m) = -633*m**2 - 5*m + 633*m**2 - 4*m**3 + 2 + 6*m. Let u be 1*(-3 + 0 - -3). Let l(d) = -16 + u*d**2 + 17 + d**2 - d**3 + d. Calculate l(v) - y(v).
3*v**3 + v**2 - 1
Let i(f) = -741*f - 89. Let q(o) = 81*o + 10. Determine -2*i(w) - 19*q(w).
-57*w - 12
Let k(j) = 5*j + 4. Let x = 1002 - 798. Let c be 792/x + (-2)/(-17). Let d(p) = 6*p + 3. Determine c*d(q) - 3*k(q).
9*q
Let i(c) = 6*c**3 + 4*c**2 - 5*c. Let d = 355319 + -355323. Let j(r) = 4*r - 3*r**2 - 3*r**3 - 3*r**3 + r**3. Give d*j(u) - 3*i(u).
2*u**3 - u
Let s(x) = 4*x + 4. Let t(q) = 4*q + 3. Suppose -686 = -193*u - 65*u - 1976. Determine u*s(p) + 4*t(p).
-4*p - 8
Let l(u) be the third derivative of -19*u**4/24 - 17*u**3/6 + 688*u**2. Let r(s) = 10*s + 9. Give 6*l(o) + 11*r(o).
-4*o - 3
Let u(n) = 13*n - 8. Let z(a) = -23*a + 19. What is 10*u(g) + 6*z(g)?
-8*g + 34
Let d(g) = -14*g**3 - 179*g**2 - 6*g + 29. Let w(o) = -40*o**3 - 537*o**2 - 17*o + 85. What is 17*d(z) - 6*w(z)?
2*z**3 + 179*z**2 - 17
Let v(c) = -4*c**2. Let m(a) = 37*a**2 + 5 - 21*a**2 - 15*a**2 - 5. What is -5*m(i) + v(i)?
-9*i**2
Let j(n) be the second derivative of -n**3/6 + 2*n**2 + n. Let s(x) = -4. Let i = 67 + -82. Let q be (i + 18)*(-1 + -1 + 1). Calculate q*s(y) - 2*j(y).
2*y + 4
Let k(l) = l**3 + l**2 - l - 6. Let r(w) = 29*w**3 + 9*w**2 - 11*w - 73. Give 11*k(i) - r(i).
-18*i**3 + 2*i**2 + 7
Let w(p) = 8 - 6 + 2*p + 7 - 6. Let i(s) = -5*s - 8. Determine 4*i(l) + 11*w(l).
2*l + 1
Let j(f) = 5*f + 2. Suppose 0*z - 4*p = 4*z + 4, -4*z + 5*p = 22. Let o(q) = 10*q + 40 + 11 - 79 + 32. Determine z*o(m) + 7*j(m).
5*m + 2
Let g(z) = 7*z**3 + 9*z**2 + 66*z + 19. Let u(x) = -x**3 - x**2 - 7*x - 2. Let c(r) = g(r) + 9*u(r). Let h(a) = -3*a**3 + 4*a + 1. Determine -5*c(j) + 4*h(j).
-2*j**3 + j - 1
Let n(w) = -7*w + 6. Let h(c) = -97 + 56*c - 125 + 173. Let k(a) = 2*a - 2. Let z be k(-2). What is z*h(y) - 49*n(y)?
7*y
Let s(f) = 11*f**2 + 7*f - 14. Let k(w) = -3*w**2 - 2*w + 4. Let p(g) = -7*k(g) - 2*s(g). Let r(n) = -5*n**2 + 9*n + 2. Determine 4*p(o) - r(o).
o**2 - 9*o - 2
Let n(q) = -21*q - 5. Let k(i) = 3*i. Determine 6*k(o) - 2*n(o).
60*o + 10
Let o(p) = -13*p. Let y(r) = 144*r. Let v = -15166 - -15211. Give v*o(g) + 4*y(g).
-9*g
Let v(k) = -61*k**2 - 6*k - 6. Let s(b) = -11591*b**2 - 1139*b - 1139. Suppose -6262*w + 5*m = -6263*w - 41, 4*w + m = -31. Calculate w*s(h) + 1139*v(h).
67*h**2
Let a(f) = f**3 + 1. Let b(m) = -19*m**3 - m**2 + 4. What is 8*a(v) - b(v)?
27*v**3 + v**2 + 4
Let k(m) = m**2 - 7*m. Let j(i) = -2*i**2 + 14*i. Suppose 107*y + 100 = -221. Give y*j(f) - 5*k(f).
f**2 - 7*f
Let o(z) = z**3 + 5*z**2 + 5*z - 10. Let w be -3*2 + 2/2. Let m(h) be the second derivative of h**4/12 + h**3/6 - h**2/2 - 18684*h. Determine w*m(g) + o(g).
g**3 - 5
Let a(s) = -40*s**3 + 2*s**2 - 51*s + 4. Let l(p) = -p**2 + 11*p - 1. Calculate -a(w) - 2*l(w).
40*w**3 + 29*w - 2
Let i(n) = -68*n**3 - 17*n + 17. Suppose 2*s = 4*g + 274 - 288, 4*s = g - 63. Let h(x) = 17*x**3 + 4*x - 4. What is s*h(y) - 4*i(y)?
-17*y**3
Let k be 2 + 3/(-1) + -4. Let c(b) = b**3 - 5*b**2 + 7. Let x(u) be the second derivative of -u**5/10 + 7*u**4/12 - 5*u**2 - 143*u. Determine k*x(g) - 7*c(g).
3*g**3 + 1
Let u(j) be the first derivative of -j**3 - j**2 - 4. Let l(p) = -7*p**2 - 5*p. Let v = 21 + -24. Let h be (v + (-36)/(-8))*90/(-27). Calculate h*u(a) + 2*l(a).
a**2
Let i(a) = -148*a**3 + 9. Let f(t) = 37*t**3 - 2. Determine 26*f(c) + 6*i(c).
74*c**3 + 2
Let g(b) = -4*b**2 - b - 2. Let o(f) = f**3 + 5*f**2 + f + 2. Suppose 346*y + 1454 + 143 = 213. Determine y*o(m) - 5*g(m).
-4*m**3 + m + 2
Let w(p) = 30*p + 89. Let v(y) = -8*y - 27. Let o(h) = 7*v(h) + 2*w(h). Let u(m) = -m. What is o(t) + 2*u(t)?
2*t - 11
Let h(g) = 1086*g**3 + 4706. Let x(k) = k**3 + 2. Give -2*h(f) + 4706*x(f).
2534*f**3
Let v(f) = 26*f**3 + 4*f. Let q(j) = 254*j**3 + 6*j**2 + 41*j. Let a(i) = -3*i**3 + 3*i**2 + i. Let n(z) = 2*a(z) - q(z). What is -4*n(p) - 39*v(p)?
26*p**3
Let v(i) = 4*i**2 - 18*i + 1. Let n(k) = 414*k + 413. Let t be n(-1). Let b(q) = q**2. Calculate t*v(u) + 3*b(u).
-u**2 + 18*u - 1
Let g(c) = 27*c**2 + 4*c + 1. Let i(x) = -55*x**2 - 11*x - 4. Calculate -5*g(t) - 2*i(t).
-25*t**2 + 2*t + 3
Let t(s) = -10*s + 2. Let c(f) be the first derivative of f**2/2 - f + 2. Let y(b) = 3*c(b) + t(b). Let z(h) = 4 + 0 + h + 1 - 5. What is y(x) + 5*z(x)?
-2*x - 1
Let t(x) = 4*x**3 + 4*x**2 - 6*x - 6584. Let d(u) = -25*u**3 - 26*u**2 + 39*u + 39505. Give 2*d(g) + 13*t(g).
2*g**3 - 6582
Let r(d) be the second derivative of -d**4/12 + 5*d**3/6 + 2*d - 73. Let z(s) = s. Determine 2*r(o) - 10*z(o).
-2*o**2
Suppose -3*u = 3*r - 24, 15 = -7*u + 4*u. Let w(b) = -8 + 40 - 18 - r. Let h = 4 - -6. Let v(t) = t - 5. What is h*w(x) + 2*v(x)?
2*x
Let k(n) = 16*n**2 + 276*n + 3. Let s(q) = -13*q**2 - 278*q - 2. Determine 5*k(o) + 6*s(o).
2*o**2 - 288*o + 3
Let z(u) = -3*u**2 + 12*u - 4. Let n(d) = -d**3 - 2*d**2 + 14*d - 7. Give 2*n(r) - 3*z(r).
-2*r**3 + 5*r**2 - 8*r - 2
Let v(o) be the second derivative of 3*o**3/2 + o**2 + 9*o. Let s(i) be the first derivative of 23*i**2 + 10*i + 7090. What is 2*s(l) - 11*v(l)?
-7*l - 2
Let j(s) = 9*s**3 - 5*s + 68. Let y(p) = -5*p**3 + 2*p - 29. Calculate 3*j(m) + 5*y(m).
2*m**3 - 5*m + 59
Let s(z) = 8*z**3 + 2*z**2 - 4*z + 1. Let u(n) be the third derivative of -n**6/15 - n**5/30 + n**4/8 - 2552*n**2. Give -3*s(h) - 4*u(h).
8*h**3 + 2*h**2 - 3
Let x(c) = -c**3 - c**2 + 5*c. Let f(q) = -q**2 - q - 1. Suppose 5*z + 3 = -3*s, -83 = 4*s - 2*z - 79. Give s*x(g) - 2*f(g).
g**3 + 3*g**2 - 3*g + 2
Let w(g) = -9*g**3 + 5*g**2 + 28*g + 7. Let r(o) = -8*o**3 + 3*o**2 + 22*o + 6. Determine 7*r(y) - 6*w(y).
-2*y**3 - 9*y**2 - 14*y
Let q(v) = -10*v**3 + 3*v**2 - 3*v - 3. Let a(w) = w**3 - w**2 + w + 1. Suppose 0 = -3*z + 12. Let c be (-8)/60 - (z - (-77)/(-15)). Calculate c*q(n) + 3*a(n).
-7*n**3
Let s(m) = 2*m**3 - 4*m**2 + m + 4. Let k(j) = 1. Let h be -8 + (8/(-16))/(12/(-168)). Give h*s(b) + 4*k(b).
-2*b**3 + 4*b**2 - b
Let b(c) = -25*c**2 - 16*c + 189. Let d(q) = -16*q**2 - 11*q + 126. What is 14*b(r) - 22*d(r)?
2*r**2 + 18*r - 126
Let o(l) = -35*l**2 - 20*l + 410. Let d(g) = 48*g**2 + 26*g - 547. Calculate 7*d(i) + 9*o(i).
21*i**2 + 2*i - 139
Let v = 35758 + -25369. Let r(n) = -10417 - 11*n + v + 3*n. Let h(l) = -l - 3. Give 56*h(d) - 6*r(d).
-8*d
Let d be (-540)/120 + 1/(-2). Let f(b) = -17*b**3 - 5. Let i(z) = 77*z**3 + 22. What is d*i(t) - 22*f(t)?
-11*t**3
Let s(j) = -151*j + 843. Let g(q) = -121*q + 842. Give 5*g(v) - 4*s(v).
-v + 838
Let t(x) | {
"pile_set_name": "DM Mathematics"
} |
. Let b(l) = l**3 + 3*l**2 - 12*l - 4. Let y be b(-5). Calculate a(y).
-11
Suppose -3*x + 2*h - 6 = 8, 28 = -5*x + h. Let o(n) be the third derivative of n**4/24 + 5*n**3/6 + 15*n**2 - 2. Determine o(x).
-1
Suppose 3*d - d = -3*k - 4, -5*k - 28 = -2*d. Let w(y) = -y**3 + 2*y**3 - 10*y**2 + 14*y**2 + 4. Give w(k).
4
Let h(v) = 3*v**2 + 7*v + 6. Let s be h(-1). Let c(g) be the first derivative of -1/2*g**s + 0*g + 2 + 4/3*g**3. Calculate c(1).
3
Suppose -5*c + 233 = 213. Let j(i) be the first derivative of 0*i**2 + 1/4*i**c + 2*i + 4/3*i**3 + 6. Give j(-3).
11
Let g be 11 + ((-8)/12)/((-2)/(-6)). Suppose 0 = 5*o - 16 - g, -2*x - 2*o + 2 = 0. Let z(w) = 2*w + 4. Determine z(x).
-4
Let i(b) be the third derivative of 2*b**5/15 + 31*b**2. Let u = 6 + -3. Suppose 3*c + u*r + 3 = 0, 4*c + 3 = c + 3*r. Determine i(c).
8
Let r(w) be the first derivative of -1/3*w**3 - 3/2*w**2 + 7*w + 16. Determine r(-6).
-11
Let g = 28 + -24. Let v = g + -3. Let l(t) = v + 0 + 15*t + 4*t. Give l(-1).
-18
Suppose 0*c - 22 = 2*c. Let t = c - -16. Let f(x) = -3 - 3*x**3 - 7*x**2 - t*x + 1 + 2*x**3. What is f(-6)?
-8
Suppose 0 = -3*l + l. Suppose 0*n - n + 6 = l. Let u(f) be the second derivative of f**3/3 - 3*f**2 - 3*f. What is u(n)?
6
Let a(f) = -4*f**3 + f**2 + f - 1. Let o = 254 + -252. Calculate a(o).
-27
Let u(q) = q**3 - 3*q**2 + 4*q - 2. Let d = 78 + -51. Let l be d/12 + 4/(-16). Determine u(l).
2
Let v(n) = 2*n - 12. Let u(b) be the second derivative of 0 + 5/3*b**4 + 0*b**3 - 1/20*b**5 + 4*b**2 + 7*b. Let l be u(20). Calculate v(l).
4
Let y(k) = -k**2 + 6*k - 7. Let m = 1013 - 1007. What is y(m)?
-7
Let p be 2/(-7) + (-240)/(-105). Let y(f) = 6*f - 4*f**2 + f**2 + p*f**2. Give y(5).
5
Let d(k) be the first derivative of -2*k**2 + 3*k**2 - 2 + k**2 - 3*k. Let g = 16 + -13. Calculate d(g).
9
Let i(b) be the second derivative of 3/2*b**3 + 12*b - 1/12*b**4 + 0 - 5/2*b**2. What is i(6)?
13
Let j = 13 + -11. Suppose j = -4*g + 6. Let f(a) = -3*a - 1. Determine f(g).
-4
Let k(i) = i**3 - 6*i**2 + 2*i - 8. Let a = 168 - 112. Suppose 5*p - a = -2*p. Let t = -2 + p. Calculate k(t).
4
Let l(r) = -9*r**2 + r + 1. Let c(z) = -22*z**2 + 2*z + 2. Suppose 5*x + 16 + 9 = 0. Let n(b) = x*c(b) + 12*l(b). Calculate n(-2).
6
Let i(m) = 4*m + 2. Let v be 122/12 - (-18)/(-108). Let x be (-4)/v*-5 - 4. What is i(x)?
-6
Let p = -23 + 34. Let o(m) = m**2 + 3*m + 2. Let n be o(-3). Let s(x) = -p + n*x - x + 10. What is s(5)?
4
Let d(l) be the first derivative of 1/3*l**3 - 1/4*l**4 - 12 + 0*l**2 - 14*l. Give d(0).
-14
Let b(c) = -c**3 + c**2 + 3. Let z be b(0). Suppose 0*x + 2*x = 5*x. Let t(s) = 0 - 4 + 0 + s + x. What is t(z)?
-1
Let u(z) = 5*z**3 - 20*z**2 + 10*z + 9. Let x(n) = -9*n**3 + 38*n**2 - 20*n - 17. Let m(g) = -7*u(g) - 4*x(g). Determine m(11).
-6
Suppose 9*f = 17*f - 48. Let y(x) = -x**3 + 6*x**2 + 2*x - 10. Calculate y(f).
2
Let r(w) = w**2 - 16*w + 14. Let j(b) = b**2 - 17*b + 17. Let y(d) = -6*j(d) + 7*r(d). Suppose 3*z - 32 = -2. What is y(z)?
-4
Let t(p) = -p**3 + 2 - 541*p + 543*p - 7*p**2 - 10. What is t(-8)?
40
Let i(a) be the first derivative of a**4/4 + a**3/3 + 3*a**2/2 + 5*a + 646. Determine i(-2).
-5
Suppose -40*t = -36*t - 12. Let j(k) = -k + 5. Determine j(t).
2
Let a(y) = 9*y**3 - 32*y**2 + 7*y + 19. Let l(r) = 20*r**3 - 66*r**2 + 14*r + 40. Let v(i) = 13*a(i) - 6*l(i). Calculate v(-7).
7
Let g(m) = m**2 + 6*m - 10. Let u be g(-7). Let j(r) = -r**2 + 13*r + 2. Let b be j(13). Let y(w) = w**2 + 20*w - 12*w + b - 4*w. What is y(u)?
-1
Let o(g) = g**2 + 8*g + 16. Let j(r) = -3*r - 81. Let k be j(-26). Let m be o(k). Let v(c) be the second derivative of 7*c**3/3 - c. Give v(m).
14
Let a(v) = -v**2 - v + 2. Suppose 25 = -5*g, 7*g - 6*g = 5*z - 20. Calculate a(z).
-10
Let s(w) = w + 0*w + 114114 - 114116. What is s(14)?
12
Let x(d) = 40*d - 10 + 5*d - 44*d. Give x(4).
-6
Let u(m) = 3*m. Let r(s) = 3*s + 9. Let d be r(-4). Let w(j) = 2*j. Let l(p) = d*u(p) + 5*w(p). Determine l(4).
4
Suppose 0 = -2*s + 6, 2*s = -3*i + 8*i - 9. Let f(z) = -1 - 9 + z - 1 + 5. What is f(i)?
-3
Suppose -6*g = -1 - 17. Suppose w + 2*n = -g + 5, -4*n = -w + 2. Suppose w*a - 7*a + 20 = 0. Let h(j) = -j - 2. Determine h(a).
-6
Let m(s) = -s**2 - 4*s**2 - s**2 + 7*s**2 + 2*s. Determine m(-2).
0
Let l(f) be the third derivative of 0 + 1/30*f**5 - 1/2*f**3 + 1/12*f**4 - 1/120*f**6 - 14*f**2 + 0*f. What is l(2)?
1
Suppose 46 - 1 = 5*h. Suppose -23 = h*t + 22. Let a(f) = -f**3 - 5*f**2 + f - 1. Determine a(t).
-6
Let w = -14 + 17. Suppose -2*q + 7 - w = 0. Let t(y) = 0 + 0 - 5 + 4 + 2*y - y**q + y**3. Calculate t(1).
1
Suppose 7*w - v = 4*w + 12, 0 = -5*w + 4*v + 13. Let b(d) = d**3 - 3*d**2 - 13*d + 19. Calculate b(w).
4
Let z = 7 - 5. Let o(n) = 0*n + n + 3 - z - n**2 - 2. Suppose 2*s - 8 = 0, -k + 2*s - 8 = 4*k. Determine o(k).
-1
Let i(f) = 6*f + 12. Let s(v) = -5*v - 12. Let d(x) = 6*i(x) + 7*s(x). What is d(6)?
-6
Let h(g) be the second derivative of -g**5/20 + g**2 + 5*g. Let c be h(0). Let k(j) = -c*j - 14*j**2 - 34 + 3*j + 34. Determine k(1).
-13
Let i(r) = -5*r + 7. Suppose -15 + 10 = a. Determine i(a).
32
Let m(o) = o**3 + 8*o**2 + 5*o - 7. Suppose 0 = -12*f - 0*f - 84. What is m(f)?
7
Suppose 139 = -3*x + 169. Let q(k) = k**2 - 11*k - 7. What is q(x)?
-17
Let y = 13 + -5. Suppose 2*x + 1 = 7. Let i(t) = -t + y + t**2 + 4*t - x. What is i(-4)?
9
Let f(q) = -144*q**2 - 2 + 38*q**2 - q + 107*q**2 + 2*q**3. Let z be -1*(0 - -2)*1. What is f(z)?
-12
Let h(o) = 5*o**3 + 9*o**2 - 3*o + 7. Let j(x) = -x**3 - x**2 + x - 1. Let g(a) = -h(a) - 4*j(a). Suppose -78 = -9*z - 123. What is g(z)?
2
Let t(x) = 7*x**2 - 7*x + 3. Let c(h) = 4*h**2 - 4*h + 2. Let a(z) = 5*c(z) - 3*t(z). Let w(y) = -2*y**2 + 2*y + 3. Let n(f) = 3*a(f) - w(f). Determine n(-1).
-2
Let p(r) = -2*r**2 - 3*r + 2. Let k be 174/10 + 12/20. Suppose -8 = h - 3*b, k = 3*h - 4*b + 47. Let v = 13 + h. Determine p(v).
-12
Let q(o) = -6*o + 2*o + 2*o + 2*o**2 + 4*o. Let r(m) = m**2 - m + 1. Let u(k) = -q(k) + 3*r(k). Determine u(2).
-3
Let h = -1 - -5. Let m(l) be the third derivative of -l**5/30 + 5*l**4/24 + l**3/3 + 3*l**2 - 8*l. Give m(h).
-10
Let r(q) = -9*q + 11. Let b(h) = -16*h + 20. Let n(w) = 6*b(w) - 11*r(w). Determine n(-8).
-25
Let j(i) = -i**2 + 4*i + 2. Let m(q) = 3 + 50*q**3 + 14*q + 1 - 49*q**3 - 9*q**2. Let h be m(7). Determine j(h).
2
Let n(q) = -5*q - 1 - 10*q + 0. Let m be n(-1). Let p(v) = v - 2*v - m + 19. What is p(7)?
-2
Let u(f) = -f**3 + 7*f - 2*f - 2*f + 2*f**2. Give u(3).
0
Suppose y + 36 = -79. Let q = 103 + y. Let h(b) = b + 19. Calculate h(q).
7
Let s = 30 - 30. Let u = -1 + s. Let v(g) = -10*g. Give v(u).
10
Suppose -103 = -4*d - 5*k, -k + 17 = d - 8. Let l(t) = -131 + d*t**2 + 64 + 66. Calculate l(-1).
21
Suppose -5 + 0 = 5*u. Let x be 12/(-30) - ((-24)/(-5))/(-2). Let y(t) = x - 2*t**3 - 3 + 4 - 4 + t**2. Determine y(u).
2
Suppose 5*q + 10 = -0*r - 2*r, -r = -2*q - 4. Suppose -2*t - 6 = 2*c, c = -r*c - 4*t + 3. Let w(p) = -p**2 - 3*p + 3. Calculate w(c).
-7
Let m(l) = l + 4. Let z = -166 - -177. Suppose 5*s + 61 = -3*i, -4*s - 4*i - 50 = -i. Let d = z + s. Determine m(d).
4
Let j = 4 - 8. Let r(f) be the second derivative of -f**5/20 - f**4/4 + 2*f**3/3 - f**2 - 154*f - 2. What is r(j)?
-2
Let i(a) = 2*a - 6. Let o(r) = 6*r - 18. Let h(n) = -8*i(n) + 3*o(n). Let s(j) = 3*j - 6. Suppose 5*c = 5 + 15. Let k(d) = c*h(d) - 3*s(d). Give k(-6).
0
Let n(p) = -11*p - 8. Let j(l) = 29*l + 24. Let t(s) = 3*j(s) + 8*n(s). Determine t(0).
8
Let b(u) = 4*u**3 - 6*u**2 + 4*u - 2. Let m(k) = 5*k**3 - 6*k**2 + 3*k - 2. Let z(c) = -4*b(c) + 3*m(c). Let j = 8 - 3. Give z(j).
-8
Let b(l) be the third derivative of -l**6/60 - l**5/30 - 2*l**3/3 + 146*l**2. Determine b(-2).
4
Let n(f) = -f**3 + 5*f**2 - 4*f + 3. Let b(l) = l + 3. Let m(v) = 3. Let w(r) = 3*b(r) - 2*m(r). Let t be w(0). Determine n(t).
9
Suppose -4*r + 5*f = -14 - 36, 3*r = 2*f + 34. Let m(d) = -d**2 + 12*d - 15. What is m(r)?
5
Let w(h) = 14*h + 16. Let z(v) = 21*v + 23. Let a(t) = 7*w(t) - 5*z(t). Give a(-3).
18
Let d(n) = n**3 + 7*n**2 - 10*n - 9. Let q be d(-8). Let k(u) = 2*u**3 + 9 + 8*u**2 + u**3 - 9*u + 3*u**3 - q*u**3. Calculate k(7).
-5
Let z = 41 - 39. Let p(s) = -z*s**3 - 113 + 3*s**2 + 107 + 3*s**3 - 6*s. Determine p(-4).
2
Let b(v) = - | {
"pile_set_name": "DM Mathematics"
} |
7?
17
Which is greater: 2148 or 2062?
2148
Is -139 less than -9852/71?
True
Is 1 less than 2/385381?
False
Is -507 at most as big as -10163/20?
False
Which is smaller: -4126/1775 or -3?
-3
Is -1102 at least 980?
False
Is -250/43 not equal to -12?
True
Is 22 > 1524/65?
False
Which is bigger: -580 or -1009?
-580
Is -2.28607 greater than or equal to 0.1?
False
Which is smaller: -1 or 1/130624?
-1
Is -1.3697 > -1/6?
False
Is -817203 at most -817203?
True
Is 866949 at least as big as -2?
True
Which is smaller: -946264 or -946265?
-946265
Is -80127 smaller than -80198?
False
Is -37538 at least -37537?
False
Are 1/4 and -0.5614782 non-equal?
True
Which is smaller: -9/5 or -27/265?
-9/5
Which is smaller: 22368 or 22369?
22368
Which is smaller: 2889 or 2900?
2889
Is 1 greater than or equal to -1/2144?
True
Which is bigger: -42305 or -42285?
-42285
Which is smaller: -144 or -6834/47?
-6834/47
Is -3684 at most -3690?
False
Which is smaller: 1057298 or -1?
-1
Is 40862 > 40852?
True
Which is greater: -60076 or -60077?
-60076
Which is bigger: 22/12275 or 1?
1
Is 0 less than -12/4865?
False
Is -142/8061 equal to 0?
False
Which is greater: 694590 or 694592?
694592
Which is smaller: -639/100 or -5?
-639/100
Which is bigger: -0.2689524 or -1?
-0.2689524
Is 119 <= 6.82?
False
Is -38/21 greater than -3?
True
Which is bigger: -2149 or 369?
369
Which is bigger: 799 or 760?
799
Is -132145 equal to -132144?
False
Which is bigger: 24 or 209/9?
24
Which is bigger: -2798 or 2?
2
Is -2/259 equal to 263?
False
Are 1032721 and 4 non-equal?
True
Which is bigger: 18591 or -0.02?
18591
Which is smaller: 2755 or 19293/7?
2755
Is -1/967 less than or equal to 0.4?
True
Is -30 < -121?
False
Which is greater: 2673 or -1?
2673
Is 0.3 less than or equal to 0.014033?
False
Is -2397 at least 215?
False
Is -10525 less than -10428?
True
Which is smaller: -440 or -32655/74?
-32655/74
Which is smaller: 7691 or -1.2?
-1.2
Is 20/7 at most 2?
False
Is -562369 equal to -562371?
False
Is 20 greater than 339/16?
False
Which is bigger: 1176457 or 1176458?
1176458
Which is smaller: -1954 or -2096?
-2096
Is 13688 < 13681?
False
Which is smaller: 65843 or 65842?
65842
Is -1 at least as big as 7/35422?
False
Is 10612 at most as big as 10614?
True
Is -1806 greater than or equal to -1809?
True
Which is greater: -5692 or -5691?
-5691
Does 820905 = 820906?
False
Which is smaller: -17 or -5.101?
-17
Does 25290 = 25279?
False
Is -1 smaller than -343/4008?
True
Which is smaller: -5724/313 or -19?
-19
Which is smaller: -12187 or 2/131?
-12187
Which is smaller: 196 or -172?
-172
Is -62/1449 equal to -1?
False
Is 16/11 less than or equal to 25734?
True
Is -6344 smaller than -6338?
True
Which is smaller: 15907 or 15908?
15907
Which is greater: 35700 or 35707?
35707
Which is bigger: 59509 or 238031/4?
59509
Which is greater: 1 or -41/10092?
1
Which is greater: -7 or -650/103?
-650/103
Which is smaller: -0.1 or 3741712?
-0.1
Which is greater: 0.2 or 0.029188?
0.2
Which is smaller: -111 or 34?
-111
Which is smaller: 1/732625 or -1?
-1
Which is smaller: -1 or 38143?
-1
Is 4206983 < 4206984?
True
Do 76/9049 and 1 have the same value?
False
Does -2326 = -2336?
False
Which is bigger: -284597/7 or -40658?
-284597/7
Which is smaller: -107/9033 or 1?
-107/9033
Which is bigger: -2/35004017 or -1?
-2/35004017
Which is smaller: -0.2 or 5/217451?
-0.2
Which is smaller: -146690 or -146679?
-146690
Which is smaller: 11610 or 522472/45?
11610
Which is smaller: 213169/4 or 53291?
53291
Which is greater: 3129 or 2928?
3129
Which is smaller: 0.082 or -930?
-930
Is -6322 equal to -50587/8?
False
Is 21622 greater than or equal to 21609?
True
Which is greater: 16/8869 or -32?
16/8869
Which is smaller: 1576/3313 or -1?
-1
Which is smaller: -19790 or -19823?
-19823
Which is smaller: 5990 or 5992?
5990
Which is smaller: -111951/47 or -2383?
-2383
Is 2 greater than or equal to 2139/694?
False
Is 1003 >= 293?
True
Which is bigger: -20794 or -163?
-163
Is -6600 greater than -46206/7?
True
Is 1/814 greater than -4430?
True
Do 1 and 2/39810335 have different values?
True
Which is smaller: 12 or -21600?
-21600
Does -10833 = -10872?
False
Which is smaller: 43/648 or 1/2?
43/648
Are -0.1 and 3234993 unequal?
True
Are -392 and -287 equal?
False
Which is greater: -1365 or -1363?
-1363
Which is bigger: 0 or 80/65799?
80/65799
Is 39/7907 less than 0?
False
Which is smaller: -37.521 or 0.1?
-37.521
Which is greater: 2/3 or -1164/71?
2/3
Which is bigger: -661 or -667?
-661
Which is greater: 376 or 457?
457
Is 2/24357 at least as big as 1?
False
Is 0.02 less than or equal to -12255?
False
Is 22590 smaller than 22596?
True
Are 91 and 272 non-equal?
True
Are 1182/11 and -5 unequal?
True
Is -0.06 greater than 2639?
False
Is -6/615299 > 0?
False
Which is bigger: 199/1094 or 0?
199/1094
Is -8/67953 greater than 0?
False
Is -1/3 not equal to -10/2657?
True
Is 2879 equal to 2895?
False
Which is smaller: -22120 or -9/19?
-22120
Is 382992 < 382991?
False
Which is bigger: 0 or 14889?
14889
Is 21113 at most as big as 21003?
False
Which is smaller: 15788 or 15717?
15717
Do 0 and 1130/4397 have the same value?
False
Is -29290/197 less than or equal to -149?
False
Which is greater: 1 or 7/15833?
1
Which is bigger: 53/6 or 33685?
33685
Which is smaller: 3/154463 or -1?
-1
Which is smaller: 150435 or 150426?
150426
Which is smaller: 1571 or -117?
-117
Are 1/8 and -363630 nonequal?
True
Is 348353 smaller than 348355?
True
Is -555 less than -60462/109?
True
Which is bigger: 8063 or 24191/3?
24191/3
Is 162127 less than or equal to 162127?
True
Which is smaller: -15288 or -15289?
-15289
Is -125981/18 <= -6998?
True
Is -2167 at least as big as 113?
False
Is -2090 at most as big as -39694/19?
True
Is 484767 >= 484766?
True
Which is bigger: 1 or 4/118647?
1
Is 6852045 > 6852045?
False
Which is smaller: -5/417866 or 1?
-5/417866
Which is greater: -617225 or -1851676/3?
-617225
Which is smaller: 5 or 413/67?
5
Is 544 greater than or equal to 7076/13?
False
Is -2/21 at most 3.6478?
True
Is -42 equal to -3376?
False
Do 688501 and 688499 have the same value?
False
Are 9/1097 and -7 nonequal?
True
Which is smaller: 2/3 or 48633?
2/3
Which is bigger: -1 or 317/1156?
317/1156
Is 246/529 greater than or equal to -1?
True
Do 2850911 and 2850913 have different values?
True
Which is bigger: -1/3 or -579/67?
-1/3
Which is bigger: 1 or 306/6083?
1
Is 1549 less than or equal to -0.1?
False
Which is greater: 82/2223 or -1?
82/2223
Which is smaller: -16 or -541/31?
-541/31
Is -42 at most -4863/112?
False
Is -17498 at least -17498?
True
Do 1/1359 and 0 have different values?
True
Which is bigger: 7085795 or 7085796?
7085796
Is -1064 <= -1179?
False
Does 8077 = 8072?
False
Which is smaller: 17550 or 157957/9?
17550
Which is greater: 3386624 or 3386623?
3386624
Is -4930/7 smaller than -704?
True
Is 606/109 < 5?
False
Do 7280 and 7279 have different values?
True
Which is greater: -8/13 or -267/10?
-8/13
Is -20622 >= -144357/7?
True
Is -1732 bigger than -28?
False
Which is smaller: 472 or 518?
472
Is -15901 less than -206694/13?
True
Is -1969.8 > -3/16?
False
Which is smaller: -121 or 146?
-121
Is -967 less than or equal to -975?
False
Does -88117 = -616810/7?
False
Is -1 at least as big as 2/232127?
False
Which is smaller: 27845 or 27873?
27845
Which is smaller: -13423/4 or -3357?
-3357
Is -40.5 less than or equal to -25/133?
True
Is -1/160 < 17?
True
Which is greater: -2024 or 3/37?
3/37
Which is smaller: 53801 or 53788?
53788
Which is smaller: 2/5 or 13662?
2/5
Which is smaller: -65/86 or 0?
-65/86
Which is smaller: -1/3 or 31.9239?
-1/3
Which is smaller: -22948 or -344242/15?
-344242/15
Is -290 at most 40?
True
Which is greater: 81/13978 or 1?
1
Is -1 less than 119/1608?
True
Is 51598 at least as big as -1?
True
Are -3435 and -3432 equal?
False
Is -38715 < -38720?
False
Which is greater: 0.1 or 616014?
616014
Which is smaller: 130088 or 130063?
130063
Is -9 equal to -3?
False
Which is greater: 1170238 or 1170243?
1170243
Is -28502 not equal to -28505?
True
Is -1 less than or equal to -3/192635?
True
Do 3/308 and -79.2 have the same value?
False
Which is smaller: 238 or 288?
238
Which is greater: 37.6 or 78?
78
Which is smaller: -17851 or 2/23?
-17851
Do 0 and 21/797 have the same value | {
"pile_set_name": "DM Mathematics"
} |
M?
1:05 AM
How many minutes are there between 7:00 PM and 4:30 AM?
570
How many minutes are there between 2:07 PM and 6:41 PM?
274
How many minutes are there between 7:43 PM and 11:43 PM?
240
What is 595 minutes after 11:24 AM?
9:19 PM
How many minutes are there between 6:52 AM and 2:29 PM?
457
How many minutes are there between 12:18 PM and 10:48 PM?
630
What is 300 minutes after 8:47 PM?
1:47 AM
What is 457 minutes before 1:31 AM?
5:54 PM
How many minutes are there between 5:39 AM and 2:52 PM?
553
How many minutes are there between 11:57 PM and 4:50 AM?
293
What is 149 minutes after 8:36 AM?
11:05 AM
What is 398 minutes before 6:20 AM?
11:42 PM
What is 507 minutes before 10:40 AM?
2:13 AM
What is 289 minutes before 7:23 AM?
2:34 AM
How many minutes are there between 11:46 AM and 1:27 PM?
101
How many minutes are there between 9:09 AM and 3:53 PM?
404
How many minutes are there between 1:58 PM and 9:08 PM?
430
What is 520 minutes after 8:44 PM?
5:24 AM
What is 250 minutes after 1:32 PM?
5:42 PM
How many minutes are there between 10:51 AM and 9:32 PM?
641
How many minutes are there between 5:11 AM and 1:57 PM?
526
How many minutes are there between 8:42 PM and 10:48 PM?
126
How many minutes are there between 11:38 AM and 6:42 PM?
424
How many minutes are there between 1:17 PM and 3:20 PM?
123
How many minutes are there between 2:11 PM and 9:01 PM?
410
What is 153 minutes after 12:56 AM?
3:29 AM
What is 661 minutes after 12:23 PM?
11:24 PM
What is 152 minutes before 4:46 AM?
2:14 AM
What is 543 minutes after 12:10 AM?
9:13 AM
What is 589 minutes after 1:12 AM?
11:01 AM
How many minutes are there between 1:30 AM and 2:33 AM?
63
What is 67 minutes after 12:14 AM?
1:21 AM
What is 680 minutes after 9:01 AM?
8:21 PM
What is 310 minutes before 6:58 PM?
1:48 PM
How many minutes are there between 7:44 AM and 3:30 PM?
466
How many minutes are there between 7:19 AM and 10:10 AM?
171
How many minutes are there between 1:01 AM and 8:43 AM?
462
What is 607 minutes before 6:21 AM?
8:14 PM
What is 302 minutes before 3:21 PM?
10:19 AM
What is 429 minutes after 4:09 PM?
11:18 PM
What is 414 minutes after 7:00 PM?
1:54 AM
How many minutes are there between 11:01 PM and 10:41 AM?
700
What is 591 minutes before 11:22 AM?
1:31 AM
What is 62 minutes after 3:03 PM?
4:05 PM
What is 254 minutes before 10:01 AM?
5:47 AM
What is 33 minutes after 3:19 PM?
3:52 PM
How many minutes are there between 9:36 PM and 9:42 PM?
6
What is 599 minutes after 5:36 AM?
3:35 PM
How many minutes are there between 9:33 PM and 1:36 AM?
243
How many minutes are there between 10:41 AM and 3:54 PM?
313
How many minutes are there between 10:25 PM and 12:41 AM?
136
How many minutes are there between 2:43 PM and 3:42 PM?
59
What is 714 minutes after 8:19 AM?
8:13 PM
What is 496 minutes before 6:38 PM?
10:22 AM
How many minutes are there between 3:58 PM and 2:58 AM?
660
What is 27 minutes before 9:13 AM?
8:46 AM
How many minutes are there between 1:20 PM and 9:14 PM?
474
What is 303 minutes before 9:23 PM?
4:20 PM
What is 97 minutes after 2:32 AM?
4:09 AM
What is 173 minutes before 7:00 AM?
4:07 AM
How many minutes are there between 8:00 AM and 9:03 AM?
63
What is 700 minutes after 10:43 PM?
10:23 AM
What is 142 minutes after 11:08 AM?
1:30 PM
What is 135 minutes after 2:27 AM?
4:42 AM
What is 42 minutes after 6:49 PM?
7:31 PM
How many minutes are there between 6:29 AM and 2:21 PM?
472
How many minutes are there between 9:35 PM and 1:39 AM?
244
What is 371 minutes before 1:46 AM?
7:35 PM
What is 148 minutes after 11:00 AM?
1:28 PM
What is 25 minutes before 6:16 PM?
5:51 PM
What is 374 minutes after 6:49 PM?
1:03 AM
What is 217 minutes after 4:20 PM?
7:57 PM
What is 145 minutes after 5:30 AM?
7:55 AM
How many minutes are there between 7:19 AM and 6:11 PM?
652
What is 59 minutes after 6:35 PM?
7:34 PM
What is 4 minutes after 6:21 AM?
6:25 AM
How many minutes are there between 8:01 PM and 9:39 PM?
98
What is 700 minutes after 5:27 PM?
5:07 AM
How many minutes are there between 2:51 PM and 6:02 PM?
191
How many minutes are there between 11:44 PM and 5:50 AM?
366
How many minutes are there between 2:38 PM and 11:47 PM?
549
How many minutes are there between 2:11 AM and 4:35 AM?
144
How many minutes are there between 6:40 PM and 12:39 AM?
359
What is 235 minutes before 11:33 AM?
7:38 AM
What is 445 minutes before 6:59 AM?
11:34 PM
What is 576 minutes after 11:05 PM?
8:41 AM
How many minutes are there between 9:02 AM and 10:39 AM?
97
How many minutes are there between 5:01 PM and 11:46 PM?
405
What is 304 minutes after 11:12 AM?
4:16 PM
What is 599 minutes after 9:07 PM?
7:06 AM
How many minutes are there between 8:05 AM and 12:17 PM?
252
What is 573 minutes after 12:03 AM?
9:36 AM
How many minutes are there between 1:03 PM and 10:01 PM?
538
How many minutes are there between 1:39 PM and 12:55 AM?
676
What is 672 minutes before 10:11 AM?
10:59 PM
How many minutes are there between 6:54 AM and 6:43 PM?
709
What is 251 minutes before 7:59 AM?
3:48 AM
What is 414 minutes after 2:14 AM?
9:08 AM
What is 211 minutes before 2:14 PM?
10:43 AM
What is 149 minutes after 6:26 AM?
8:55 AM
How many minutes are there between 4:26 AM and 10:11 AM?
345
What is 556 minutes before 7:11 PM?
9:55 AM
What is 661 minutes after 8:47 PM?
7:48 AM
How many minutes are there between 9:59 PM and 10:18 PM?
19
How many minutes are there between 1:49 PM and 10:11 PM?
502
What is 552 minutes after 8:01 AM?
5:13 PM
What is 572 minutes before 1:16 AM?
3:44 PM
What is 584 minutes before 8:45 PM?
11:01 AM
What is 631 minutes after 10:38 AM?
9:09 PM
What is 115 minutes after 10:52 AM?
12:47 PM
What is 126 minutes after 1:09 AM?
3:15 AM
How many minutes are there between 2:11 PM and 10:36 PM?
505
How many minutes are there between 7:11 PM and 8:13 PM?
62
What is 399 minutes before 2:57 AM?
8:18 PM
How many minutes are there between 8:05 AM and 4:55 PM?
530
How many minutes are there between 8:21 AM and 11:12 AM?
171
How many minutes are there between 5:13 AM and 6:45 AM?
92
What is 331 minutes after 9:07 PM?
2:38 AM
What is 82 minutes before 3:07 AM?
1:45 AM
What is 2 minutes after 12:53 PM?
12:55 PM
How many minutes are there between 12:25 AM and 12:29 AM?
4
How many minutes are there between 1:46 PM and 12:43 AM?
657
What is 12 minutes before 12:20 PM?
12:08 PM
What is 184 minutes before 5:12 AM?
2:08 AM
How many minutes are there between 8:20 AM and 2:14 PM?
354
What is 419 minutes after 2:03 PM?
9:02 PM
How many minutes are there between 2:52 AM and 4:23 AM?
91
How many minutes are there between 12:27 AM and 2:11 AM?
104
What is 155 minutes before 9:11 PM?
6:36 PM
What is 371 minutes before 2:27 AM?
8:16 PM
How many minutes are there between 12:24 AM and 9:41 AM?
557
What is 707 minutes before 12:52 AM?
1:05 PM
How many minutes are there between 11:34 PM and 10:50 AM?
676
How many minutes are there between 4:27 AM and 2:13 PM?
586
What is 688 minutes after 3:00 AM?
2:28 PM
How many minutes are there between 3:22 PM and 8:31 PM?
309
How many minutes are there between 7:54 AM and 6:21 PM?
627
How many minutes are there between 1:59 AM and 8:30 AM?
391
How many minutes are there between 6:02 PM and 5:41 AM?
699
What is 631 minutes before 8:31 PM?
10:00 AM
How many minutes are there between 5:28 AM and 10:53 AM?
325
What is 149 minutes after 8:37 AM?
11:06 AM
How many minutes are there between 7:54 PM and 9:44 PM?
110
What is 345 minutes after 3:54 PM?
9:39 PM
How many minutes are there between 11:17 AM and 9:05 PM?
588
How many minutes are there between 10:14 AM and 3:18 PM?
304
How many minutes are there between 5:56 PM and 7:07 PM?
71
How many minutes are there between 5:10 PM and 12:57 AM?
467
How many minutes are there between 3:36 AM and 6:10 AM?
154
What is 552 minutes after 5:21 PM?
2:33 AM
How many minutes are there between 11:20 AM and 4:37 PM?
317
How many minutes are there between 3:10 AM and 10:04 AM?
414
What is 573 minutes after 9:41 PM?
7:14 AM
What is 503 minutes after 9:32 AM?
5:55 PM
What is 110 minutes after 1:02 PM?
2:52 PM
What is 266 minutes before 6:31 PM?
2:05 PM
How many minutes are there between 3:09 PM and 10:05 PM?
416
What is 60 minutes after 2:25 AM?
3:25 AM
What is 480 minutes after 6:20 PM?
2:20 AM
What | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {u: 3, s: 2, n: 5, m: 2, i: 2, t: 2}. Give prob of picking 1 n and 1 s.
1/12
What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 4, f: 1, d: 5}?
4/9
Calculate prob of picking 1 y, 2 h, and 1 l when four letters picked without replacement from hhgyhlghcjjl.
4/165
Two letters picked without replacement from ttvfttffttftftfftftf. Give prob of picking 2 f.
18/95
What is prob of picking 1 k and 1 o when two letters picked without replacement from akzio?
1/10
Two letters picked without replacement from zwjwwgzwxgwgwwzwwz. Give prob of picking 1 x and 1 z.
4/153
Calculate prob of picking 1 f, 1 u, and 1 c when three letters picked without replacement from kumzmcf.
1/35
Four letters picked without replacement from {o: 5, i: 4, n: 7, p: 3}. What is prob of picking 2 n and 2 o?
35/646
Two letters picked without replacement from {r: 2, x: 4, o: 1, z: 2, u: 10}. What is prob of picking 2 x?
2/57
What is prob of picking 2 j and 1 v when three letters picked without replacement from {v: 4, j: 4, p: 1, z: 6}?
24/455
Four letters picked without replacement from wwmvvwmvwwvwwmmww. Give prob of picking 3 w and 1 m.
12/85
What is prob of picking 2 r and 2 o when four letters picked without replacement from {r: 5, o: 9}?
360/1001
Four letters picked without replacement from yndysynyyyzzlsnyys. Give prob of picking 3 n and 1 s.
1/1020
Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {o: 3, w: 2, x: 3}.
3/56
Two letters picked without replacement from {b: 1, f: 4, c: 8, z: 2, r: 4}. Give prob of picking 1 c and 1 r.
32/171
Two letters picked without replacement from zzmz. What is prob of picking 1 z and 1 m?
1/2
Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {l: 5, o: 15}.
35/76
What is prob of picking 1 q and 2 i when three letters picked without replacement from inhiipqpwiiiwiiiwiww?
3/76
What is prob of picking 2 y and 2 t when four letters picked without replacement from {t: 4, y: 3}?
18/35
Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 7, g: 12}.
28/57
Two letters picked without replacement from {l: 4, k: 3, i: 6}. What is prob of picking 2 k?
1/26
Two letters picked without replacement from hhwhrrrhhwrwrprwrr. What is prob of picking 1 w and 1 r?
32/153
Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, b: 1, a: 2, g: 2}.
1/15
What is prob of picking 2 g and 1 w when three letters picked without replacement from {t: 1, o: 1, g: 5, w: 1, r: 2}?
1/12
What is prob of picking 1 n and 1 o when two letters picked without replacement from {p: 1, n: 1, o: 17}?
17/171
Three letters picked without replacement from {z: 2, n: 3, v: 4, f: 2}. Give prob of picking 2 n and 1 f.
2/55
Calculate prob of picking 1 y, 2 i, and 1 o when four letters picked without replacement from aafffyaoaii.
1/330
What is prob of picking 1 w and 1 o when two letters picked without replacement from ofjjjjowjfj?
2/55
Two letters picked without replacement from cdcddddcdd. Give prob of picking 2 d.
7/15
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from twttw.
3/5
Four letters picked without replacement from pplppppppppppppplp. Give prob of picking 3 p and 1 l.
56/153
Two letters picked without replacement from {d: 4, e: 1, r: 2, y: 1, z: 3}. Give prob of picking 1 d and 1 r.
8/55
Two letters picked without replacement from yiyic. Give prob of picking 2 i.
1/10
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {q: 1, g: 1, u: 1, d: 1, n: 1, y: 2}.
2/21
Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, j: 2, y: 2}.
5/18
Four letters picked without replacement from ajrarravrvaraaarr. What is prob of picking 3 a and 1 v?
1/34
Four letters picked without replacement from wwgwgwgwggwg. Give prob of picking 4 w.
1/33
Two letters picked without replacement from {p: 4, j: 1, y: 2, i: 4, r: 3}. Give prob of picking 1 y and 1 i.
8/91
Calculate prob of picking 1 x, 1 r, and 1 f when three letters picked without replacement from qqqwqqhxqfqrqqxwrxw.
2/323
What is prob of picking 4 l when four letters picked without replacement from {l: 3, z: 4}?
0
Three letters picked without replacement from {y: 4, q: 4, w: 1, o: 1}. Give prob of picking 1 q, 1 w, and 1 y.
2/15
What is prob of picking 2 h and 2 a when four letters picked without replacement from afahfffffwwfar?
0
Two letters picked without replacement from {c: 1, s: 1, y: 9}. What is prob of picking 1 c and 1 y?
9/55
Two letters picked without replacement from {w: 3, u: 1, d: 1, z: 4, q: 2}. Give prob of picking 1 w and 1 u.
3/55
Two letters picked without replacement from aaaaagigiiiag. Give prob of picking 1 g and 1 a.
3/13
Four letters picked without replacement from mmmsf. Give prob of picking 2 s and 2 f.
0
Two letters picked without replacement from rrr. What is prob of picking 2 r?
1
Four letters picked without replacement from {l: 2, i: 2, w: 3, p: 2}. What is prob of picking 2 w and 2 l?
1/42
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from sspp.
2/3
Four letters picked without replacement from ccooccccoooccccococ. Give prob of picking 1 c and 3 o.
35/323
Two letters picked without replacement from jjjjfjjjjjjj. What is prob of picking 2 j?
5/6
Two letters picked without replacement from {w: 4, k: 1, g: 2, n: 1}. What is prob of picking 1 n and 1 g?
1/14
Four letters picked without replacement from hphdhthhd. What is prob of picking 2 d, 1 h, and 1 t?
5/126
Two letters picked without replacement from {r: 3, p: 2}. Give prob of picking 1 r and 1 p.
3/5
Two letters picked without replacement from ohudouowwudho. Give prob of picking 1 w and 1 o.
4/39
Calculate prob of picking 1 e, 1 v, and 1 g when three letters picked without replacement from geabaagva.
1/42
Two letters picked without replacement from {p: 11, o: 2, r: 2, w: 1}. What is prob of picking 2 r?
1/120
Two letters picked without replacement from yyykky. Give prob of picking 2 k.
1/15
Two letters picked without replacement from wwwwkwwkkwkkww. What is prob of picking 2 w?
36/91
Two letters picked without replacement from {h: 1, r: 1, a: 1, e: 3, m: 4, q: 2}. What is prob of picking 1 h and 1 m?
2/33
What is prob of picking 1 e and 2 o when three letters picked without replacement from {y: 3, f: 4, o: 4, e: 1, a: 4}?
3/280
Three letters picked without replacement from vvbbkbbkvvvvvvbbvvv. Give prob of picking 2 k and 1 v.
11/969
Two letters picked without replacement from {a: 2, h: 3, e: 6, i: 2, b: 5}. What is prob of picking 1 b and 1 a?
10/153
Calculate prob of picking 1 b, 2 g, and 1 y when four letters picked without replacement from bqgbbgby.
2/35
Two letters picked without replacement from lkrkrohlkkrrolkk. What is prob of picking 1 o and 1 h?
1/60
Two letters picked without replacement from bfiipfux. What is prob of picking 1 p and 1 f?
1/14
Two letters picked without replacement from yaofpoopoaoopoapoyo. What is prob of picking 1 o and 1 f?
1/19
Two letters picked without replacement from {v: 4, n: 6}. What is prob of picking 2 v?
2/15
What is prob of picking 1 t, 1 d, and 1 o when three letters picked without replacement from tooodtoodtotdooooo?
11/68
What is prob of picking 2 o and 2 u when four letters picked without replacement from uoooououuuouuouu?
27/65
What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 3, k: 2, p: 5, i: 7}?
21/136
Calculate prob of picking 2 g and 2 q when four letters picked without replacement from qgqqgogq.
9/35
What is prob of picking 1 w and 1 u when two letters picked without replacement from uluuuuuluww?
14/55
Three letters picked without replacement from dtfymyu. Give prob of picking 1 d, 1 u, and 1 f.
1/35
What is prob of picking 2 v when two letters picked without replacement from vzv?
1/3
What is prob of picking 2 i, 1 d, and 1 y when four letters picked without replacement from idydyyssiiidyiiiiiy?
45/323
Two letters picked without replacement from zzzzaazaqa. What is prob of picking 2 a?
2/15
What is prob of picking 1 j and 1 n | {
"pile_set_name": "DM Mathematics"
} |
utes before 11:59 PM?
9:13 PM
How many minutes are there between 10:33 AM and 10:16 PM?
703
How many minutes are there between 12:27 AM and 1:17 AM?
50
How many minutes are there between 10:58 PM and 9:41 AM?
643
What is 444 minutes before 1:52 AM?
6:28 PM
How many minutes are there between 4:15 AM and 8:26 AM?
251
How many minutes are there between 2:44 PM and 3:36 PM?
52
How many minutes are there between 9:48 PM and 1:02 AM?
194
How many minutes are there between 5:28 AM and 1:20 PM?
472
What is 644 minutes before 10:24 PM?
11:40 AM
What is 50 minutes before 8:34 AM?
7:44 AM
How many minutes are there between 1:06 PM and 11:33 PM?
627
How many minutes are there between 8:52 AM and 9:30 AM?
38
What is 98 minutes after 10:21 AM?
11:59 AM
How many minutes are there between 10:02 AM and 6:26 PM?
504
What is 582 minutes after 3:06 AM?
12:48 PM
How many minutes are there between 11:13 AM and 6:46 PM?
453
What is 305 minutes after 10:01 AM?
3:06 PM
How many minutes are there between 7:11 PM and 6:42 AM?
691
How many minutes are there between 11:58 PM and 1:39 AM?
101
What is 53 minutes before 11:55 PM?
11:02 PM
How many minutes are there between 4:42 PM and 7:46 PM?
184
What is 36 minutes before 4:58 AM?
4:22 AM
How many minutes are there between 12:03 PM and 4:13 PM?
250
How many minutes are there between 4:43 AM and 10:49 AM?
366
What is 420 minutes before 10:57 PM?
3:57 PM
How many minutes are there between 5:59 AM and 7:30 AM?
91
What is 707 minutes after 7:40 AM?
7:27 PM
What is 249 minutes before 10:29 PM?
6:20 PM
How many minutes are there between 12:39 PM and 12:34 AM?
715
What is 582 minutes after 4:15 PM?
1:57 AM
What is 107 minutes before 1:57 AM?
12:10 AM
What is 159 minutes before 9:30 AM?
6:51 AM
What is 296 minutes after 9:31 AM?
2:27 PM
How many minutes are there between 1:01 AM and 3:56 AM?
175
What is 490 minutes after 3:17 AM?
11:27 AM
How many minutes are there between 5:24 AM and 2:52 PM?
568
What is 414 minutes before 3:46 AM?
8:52 PM
What is 238 minutes after 9:42 AM?
1:40 PM
How many minutes are there between 8:57 PM and 11:14 PM?
137
What is 313 minutes after 1:28 PM?
6:41 PM
What is 504 minutes before 2:24 AM?
6:00 PM
What is 652 minutes after 8:10 AM?
7:02 PM
How many minutes are there between 1:05 PM and 10:18 PM?
553
What is 490 minutes before 7:32 AM?
11:22 PM
How many minutes are there between 8:23 PM and 12:19 AM?
236
What is 689 minutes before 4:50 PM?
5:21 AM
What is 702 minutes after 2:59 PM?
2:41 AM
How many minutes are there between 1:15 AM and 1:29 AM?
14
How many minutes are there between 8:24 AM and 6:20 PM?
596
How many minutes are there between 2:21 PM and 2:41 PM?
20
How many minutes are there between 5:57 PM and 9:52 PM?
235
How many minutes are there between 2:11 AM and 7:42 AM?
331
How many minutes are there between 7:40 AM and 6:23 PM?
643
What is 240 minutes after 5:58 AM?
9:58 AM
How many minutes are there between 11:13 AM and 7:14 PM?
481
What is 207 minutes after 11:14 PM?
2:41 AM
What is 175 minutes before 6:54 PM?
3:59 PM
How many minutes are there between 3:38 PM and 12:22 AM?
524
What is 165 minutes after 9:47 AM?
12:32 PM
What is 27 minutes before 11:47 AM?
11:20 AM
How many minutes are there between 5:00 AM and 7:07 AM?
127
What is 556 minutes after 3:33 AM?
12:49 PM
How many minutes are there between 10:07 PM and 4:41 AM?
394
How many minutes are there between 3:38 AM and 8:03 AM?
265
What is 170 minutes after 10:42 AM?
1:32 PM
What is 145 minutes after 8:13 AM?
10:38 AM
What is 295 minutes before 12:44 PM?
7:49 AM
What is 337 minutes before 4:22 AM?
10:45 PM
What is 211 minutes before 7:50 PM?
4:19 PM
How many minutes are there between 1:13 AM and 9:25 AM?
492
What is 289 minutes before 12:26 AM?
7:37 PM
What is 286 minutes before 1:39 AM?
8:53 PM
How many minutes are there between 10:11 AM and 12:28 PM?
137
What is 429 minutes after 8:12 PM?
3:21 AM
What is 101 minutes after 5:47 PM?
7:28 PM
How many minutes are there between 3:21 PM and 1:44 AM?
623
What is 53 minutes after 9:59 PM?
10:52 PM
How many minutes are there between 6:32 AM and 12:14 PM?
342
What is 644 minutes after 10:33 PM?
9:17 AM
How many minutes are there between 4:34 AM and 3:17 PM?
643
What is 328 minutes before 9:51 PM?
4:23 PM
How many minutes are there between 10:03 AM and 7:06 PM?
543
How many minutes are there between 11:41 AM and 3:05 PM?
204
How many minutes are there between 3:00 AM and 12:12 PM?
552
How many minutes are there between 8:42 AM and 7:10 PM?
628
What is 592 minutes after 4:23 AM?
2:15 PM
How many minutes are there between 7:56 PM and 9:39 PM?
103
How many minutes are there between 6:22 PM and 2:01 AM?
459
How many minutes are there between 11:01 AM and 12:17 PM?
76
What is 669 minutes before 2:25 PM?
3:16 AM
What is 488 minutes before 6:41 PM?
10:33 AM
How many minutes are there between 5:09 AM and 6:46 AM?
97
What is 636 minutes before 3:44 AM?
5:08 PM
How many minutes are there between 10:47 PM and 11:50 PM?
63
How many minutes are there between 6:25 AM and 11:21 AM?
296
What is 286 minutes after 4:17 PM?
9:03 PM
How many minutes are there between 7:22 PM and 12:22 AM?
300
How many minutes are there between 11:57 AM and 7:58 PM?
481
How many minutes are there between 9:55 AM and 12:23 PM?
148
What is 634 minutes after 12:22 PM?
10:56 PM
What is 665 minutes before 1:07 AM?
2:02 PM
What is 35 minutes after 12:01 PM?
12:36 PM
How many minutes are there between 4:16 AM and 2:52 PM?
636
What is 204 minutes before 12:24 PM?
9:00 AM
What is 117 minutes after 2:12 AM?
4:09 AM
What is 538 minutes before 8:25 PM?
11:27 AM
How many minutes are there between 11:22 AM and 9:14 PM?
592
What is 231 minutes after 5:11 PM?
9:02 PM
How many minutes are there between 6:06 PM and 10:21 PM?
255
How many minutes are there between 7:47 PM and 6:18 AM?
631
What is 670 minutes before 12:58 PM?
1:48 AM
How many minutes are there between 11:50 PM and 5:05 AM?
315
How many minutes are there between 10:18 AM and 6:46 PM?
508
How many minutes are there between 4:01 AM and 10:55 AM?
414
How many minutes are there between 11:58 AM and 6:54 PM?
416
How many minutes are there between 11:15 AM and 9:51 PM?
636
How many minutes are there between 8:02 AM and 11:16 AM?
194
How many minutes are there between 5:50 PM and 8:05 PM?
135
What is 111 minutes before 2:30 AM?
12:39 AM
What is 123 minutes after 12:26 PM?
2:29 PM
What is 25 minutes after 8:54 PM?
9:19 PM
What is 286 minutes before 3:39 PM?
10:53 AM
What is 492 minutes after 5:46 AM?
1:58 PM
What is 429 minutes before 12:38 PM?
5:29 AM
What is 414 minutes after 7:27 AM?
2:21 PM
What is 155 minutes after 4:51 PM?
7:26 PM
What is 331 minutes before 11:50 AM?
6:19 AM
How many minutes are there between 2:13 PM and 1:31 AM?
678
What is 627 minutes before 10:14 AM?
11:47 PM
What is 211 minutes before 10:20 PM?
6:49 PM
How many minutes are there between 3:20 AM and 8:44 AM?
324
How many minutes are there between 9:38 AM and 11:45 AM?
127
What is 709 minutes after 9:34 PM?
9:23 AM
What is 56 minutes before 7:15 AM?
6:19 AM
How many minutes are there between 11:52 PM and 10:52 AM?
660
How many minutes are there between 9:41 AM and 6:21 PM?
520
What is 692 minutes after 11:56 PM?
11:28 AM
How many minutes are there between 4:06 PM and 1:48 AM?
582
What is 321 minutes after 11:12 AM?
4:33 PM
What is 535 minutes after 4:57 PM?
1:52 AM
How many minutes are there between 8:00 AM and 1:05 PM?
305
What is 609 minutes after 3:05 PM?
1:14 AM
What is 253 minutes before 4:30 AM?
12:17 AM
How many minutes are there between 5:11 PM and 12:05 AM?
414
How many minutes are there between 6:22 AM and 6:06 PM?
704
What is 154 minutes before 12:06 AM?
9:32 PM
How many minutes are there between 2:42 PM and 11:55 PM?
553
What is 530 minutes before 12:52 AM?
4:02 PM
How many minutes are there between 3:59 AM and 4:58 AM?
59
How many minutes are there between 4:37 AM and 5:37 AM?
60
How many minutes are there between 4:22 AM and 6:00 AM?
98
How many minutes are there between 5:18 PM and 5:05 AM?
707
What is 416 minutes before 7:27 PM?
12:31 PM
What is 432 minutes after 6:48 AM?
2:00 PM
What is 291 minutes after 3:58 AM?
8:49 AM
What is 166 minutes before 4:23 PM?
1:37 PM
What is 630 minutes after 5:38 AM?
| {
"pile_set_name": "DM Mathematics"
} |
igger than 86214?
False
Are 862 and 1588 non-equal?
True
Is 41.95 not equal to -403?
True
Is -1796 at least -1973?
True
Which is greater: 507 or 82.94?
507
Are -11 and -0.12564 equal?
False
Which is smaller: -73410 or -73412?
-73412
Which is smaller: 1030 or 2?
2
Which is smaller: -0.77 or 16/15?
-0.77
Is -4287 equal to -4284?
False
Is -11381 at most -147968/13?
False
Which is bigger: -2.581 or 1?
1
Is 469 smaller than 562?
True
Which is greater: -3677 or -7.2?
-7.2
Is 75820 not equal to 1?
True
Is -32180 <= -32180?
True
Which is smaller: -1071/25 or 0.2?
-1071/25
Are 6413 and 70546/11 unequal?
True
Which is smaller: -897 or 17.72?
-897
Is 73906 != 73899?
True
Which is greater: 592901/4 or 148225?
592901/4
Is 0.23 <= -2413/14?
False
Which is greater: 1/2527915 or 0?
1/2527915
Are 5/7 and -0.47 non-equal?
True
Is 0.8 at most -40/149?
False
Which is greater: 197754 or 2175290/11?
197754
Are 189/362 and -2 nonequal?
True
Is -258/223 < 6?
True
Is 2.63 > 36?
False
Is -1 at least as big as 80?
False
Is 3003 at least 21019/7?
True
Is 38981 at least 61?
True
Do -30452/27 and -1129 have the same value?
False
Which is smaller: 10/69 or 95?
10/69
Is -1 at least 13/75926?
False
Are -9147584 and -9147584 equal?
True
Which is greater: -84546/79 or -1069?
-1069
Which is bigger: 2/35 or -6788?
2/35
Is 31564/87 != 362?
True
Is 2609186 bigger than 2609188?
False
Are 1614 and 1466 nonequal?
True
Which is smaller: 2/871081 or -1?
-1
Is 0.7 less than -9.1415?
False
Is -21 > -21657?
True
Is -332187/52 != -6389?
True
Is -9 at most as big as -11074.6?
False
Is -393 less than or equal to -372?
True
Which is smaller: -249 or -497/2?
-249
Is 0 <= 147/9991?
True
Which is smaller: 1 or 8/57739?
8/57739
Do 60223 and 60215 have the same value?
False
Which is smaller: 2 or 1872/1481?
1872/1481
Is -0.6 greater than 118122?
False
Which is smaller: -1 or 1/28772?
-1
Is 1/88766 at least as big as -1?
True
Which is smaller: 1/3 or 47918?
1/3
Does -1200/61 = -21?
False
Is -92 < 4/153?
True
Are -56865 and -56865 equal?
True
Which is smaller: 0 or -3/322055?
-3/322055
Is -1162565/13 >= -89428?
False
Is -2566084 less than or equal to -2566084?
True
Is 240/1127 greater than 1?
False
Which is bigger: 0 or -63/7090?
0
Which is greater: -1184/7 or 0.2655?
0.2655
Is 38 greater than -29/18?
True
Which is greater: -446793 or -893585/2?
-893585/2
Are -2/656151 and -1 equal?
False
Is -563240/7 bigger than -80463?
True
Are 1338 and 2008 equal?
False
Are -12/7147 and 1 equal?
False
Which is greater: 46/29 or 33?
33
Is -40594 < -40593?
True
Is 5 at most -27.357?
False
Is 2/425183 greater than 0?
True
Which is smaller: 21234 or 148635/7?
148635/7
Is -2/1314913 less than -1?
False
Which is smaller: 215 or 250?
215
Does 2/9 = 32828?
False
Does 142303 = 142303?
True
Which is smaller: 7313 or 7315?
7313
Which is bigger: -1168541 or -1168540?
-1168540
Which is greater: 116 or 16511/142?
16511/142
Which is greater: 2/194271 or -1?
2/194271
Which is greater: 1 or -1242/6055?
1
Is 4803 at most as big as 6/11?
False
Which is smaller: -39792/11 or -3616?
-39792/11
Is -357 > 12697?
False
Which is smaller: -2/7 or 57308?
-2/7
Which is smaller: 1 or 14/10035?
14/10035
Which is smaller: -3 or -40757?
-40757
Is 2228 at least as big as 1945?
True
Which is smaller: 8 or 0.0759?
0.0759
Is 1.1326 at least as big as -2?
True
Does 21872 = 21872?
True
Is 1 bigger than 522679?
False
Is -24260 less than -24253?
True
Which is smaller: -1 or 42/4769?
-1
Which is smaller: 0 or -1/5442068?
-1/5442068
Which is greater: 387 or -8/201?
387
Is -3188 < 8?
True
Are -565 and -60602/107 nonequal?
True
Which is greater: 1 or -1/24564574?
1
Which is smaller: -17061 or -17019?
-17061
Is 63889 bigger than 447219/7?
True
Which is bigger: 0 or 4/158289?
4/158289
Which is greater: 5476088 or 5476087?
5476088
Is -99153 at most as big as -297457/3?
True
Which is smaller: -821 or -54205/66?
-54205/66
Which is bigger: -1/3 or -139201?
-1/3
Which is bigger: -904561 or -904560?
-904560
Is -6838509 less than -6838510?
False
Which is smaller: 0.2 or 111670/7?
0.2
Is -5331/14 > -381?
True
Which is smaller: -1 or 535.606?
-1
Is -280879 greater than or equal to -280879?
True
Which is bigger: -25630 or -25633?
-25630
Is 63825 less than or equal to 63804?
False
Is 4476 not equal to 1.95?
True
Is 14 greater than 66756?
False
Which is smaller: -1575 or -36244/23?
-36244/23
Is 4630 smaller than -84?
False
Do 157.043 and -10/13 have different values?
True
Is -1235 at least as big as -1273?
True
Are 16822/17 and -3 unequal?
True
Is -19.4941 at least -6?
False
Which is smaller: -71407 or -1213926/17?
-1213926/17
Which is bigger: 0.15252 or -16?
0.15252
Does 6053 = 6?
False
Is 127368 less than or equal to 127368?
True
Which is smaller: -1 or -1224/7865?
-1
Does -0.1 = 2/30125?
False
Is 1143 less than -72/17?
False
Is -2/157199 > -1?
True
Which is smaller: 1017494 or 1017495?
1017494
Do -3 and 17.044 have different values?
True
Do 16/443 and 1 have the same value?
False
Which is bigger: -14169/47 or -302?
-14169/47
Are 60/2813 and 0 equal?
False
Which is bigger: 19 or 829/42?
829/42
Does -3169 = -2622?
False
Is 50054 not equal to 450473/9?
True
Does 19222 = 19223?
False
Is -274554 greater than or equal to -1921882/7?
True
Which is smaller: -29992 or -0.4?
-29992
Which is greater: 220/351 or 1?
1
Which is bigger: -14/120151 or 1?
1
Is 1 > 2/279451?
True
Which is smaller: -11063 or -11065?
-11065
Which is bigger: 136/1755 or 1?
1
Which is smaller: 69383 or 17?
17
Which is bigger: 612 or 757?
757
Is 1.9 at most 2986/5?
True
Is 477018/11 bigger than 43365?
True
Is 137 != 3863/28?
True
Which is bigger: -59 or 12127?
12127
Is 331 at least -15389?
True
Is 2/7 greater than 14305?
False
Is -19/9352 at most as big as 1?
True
Does -6219 = -6079?
False
Is -53000 equal to -53008?
False
Is 30 less than -1196/5?
False
Which is smaller: -1 or -41/10641?
-1
Which is bigger: -310368 or -310366?
-310366
Which is greater: 52358 or 628279/12?
52358
Which is smaller: -147776/29 or -5095?
-147776/29
Is 0 greater than or equal to -35/20649?
True
Which is greater: -52559/9 or -5841?
-52559/9
Is -40.6388 >= 2/7?
False
Which is greater: -0.2 or 69270?
69270
Which is greater: 0.1 or -836476?
0.1
Is -4279 equal to -4278?
False
Which is smaller: 1748/2471 or 1?
1748/2471
Is 31189 != 62375/2?
True
Which is smaller: 1 or -49/2162?
-49/2162
Which is smaller: -2/3 or -71548?
-71548
Which is greater: 126219 or -1.4?
126219
Which is smaller: 0 or -14/3253?
-14/3253
Is 30285 at most as big as 30283?
False
Is -2/3 <= 4482/35?
True
Is -257 at least as big as 31?
False
Which is bigger: 56087 or 56084?
56087
Are 92 and 17 equal?
False
Which is smaller: -534524 or -534525?
-534525
Is -418800 smaller than -418800?
False
Is -16717 equal to -16711?
False
Is 1 at least 4/8405?
True
Which is bigger: 673/2394 or 1?
1
Is 3369 greater than 3368?
True
Is -44 smaller than -1824/41?
False
Which is bigger: 85/1369 or 0?
85/1369
Is 2181 smaller than 2.3?
False
Is -479592 less than or equal to -479593?
False
Which is smaller: 3886 or 3894?
3886
Is 56/3 at least as big as -110?
True
Is 54 >= 23823/448?
True
Which is greater: 311/725 or 0?
311/725
Which is bigger: 3868 or 3852?
3868
Is 10/179 greater than or equal to 1?
False
Is 0 less than 24/10405?
True
Which is bigger: 6014/25 or 240?
6014/25
Is -2/5 > 48.072?
False
Which is greater: 12662 or 519081/41?
12662
Is 204767 >= 204765?
True
Which is bigger: -62427 or -88?
-88
Is 0.3 bigger than 14.113?
False
Which is smaller: 0 or 14/1113279?
0
Is -30932/197 <= -156?
True
Is 38069 not equal to 38069?
False
Are -31/138365 and 1 unequal?
True
Which is greater: -3960/49 or -81?
-3960/49
Which is bigger: 817384 or 817382?
817384
Which is greater: 59774/31 or 1928?
59774/31
Is 5 at least as big as -0.017?
True
Which is greater: -1/3 or 289038?
289038
Which is smaller: -600 or -160?
-600
Which is greater: -3669 or -3683?
-3669
Are -9 and -246/25 equal?
False
Does -41926 = -125776/3?
False
Which is greater: 933 or 3419?
3419
Which is greater: 43172 or 43321?
43321
Is 6378 not equal to 6456?
True
Is -2 < -739?
False
Which is smaller: 27870 or 27821?
27821
Which is smaller: 4769 or 4768?
4768
Is 2639/1016 greater than 2?
True
Is -2/2001 smaller than -44?
False
Is -687882 g | {
"pile_set_name": "DM Mathematics"
} |
the biggest value? (a) -150/7 (b) -5 (c) 3
c
What is the third smallest value in -17, 4, 3, -7, 1?
1
What is the fifth smallest value in -4, -0.02, 2/9, -0.2, -84?
2/9
Which is the biggest value? (a) 5 (b) 3/5 (c) 384/5
c
Which is the fourth biggest value? (a) 3/4 (b) -5 (c) 0.11 (d) 0.5 (e) 0
e
What is the third smallest value in 0, -0.3, -2/11, -0.2, -29?
-0.2
What is the smallest value in -3, -0.03, -4, -0.3?
-4
What is the fifth biggest value in 1, -3, 275, 7, -0.5?
-3
Which is the smallest value? (a) -15 (b) 3 (c) -2/9 (d) -5/6
a
What is the biggest value in 1, -0.2, -5, -0.5, 378?
378
What is the second biggest value in -2/19, -0.1, 2, 3/4?
3/4
What is the biggest value in 1/3, -0.4, -0.23?
1/3
What is the fifth biggest value in 0.14, 2, 1, -1/4, -0.1?
-1/4
What is the biggest value in 1, 206, -0.05?
206
Which is the second biggest value? (a) 2/11 (b) -0.775 (c) -1/3
c
What is the fourth smallest value in 1, 5, -480, 3?
5
Which is the fourth biggest value? (a) -0.3 (b) -3/7 (c) 7 (d) 1/3 (e) 3/14
a
Which is the biggest value? (a) -4 (b) 0.04 (c) -1/4 (d) 0 (e) -8
b
Which is the second smallest value? (a) 2/7 (b) -2/15 (c) 2 (d) -2/7
b
What is the third biggest value in 3/5, 0, 2/2291?
0
Which is the third smallest value? (a) 2/13 (b) 1/5 (c) 5 (d) -3
b
What is the third biggest value in -0.5, 2/77, -36?
-36
Which is the fifth biggest value? (a) -1 (b) 0.3 (c) -3/5 (d) -2 (e) -3/2
d
Which is the second smallest value? (a) 1 (b) -1 (c) 0 (d) -79/7 (e) -4
e
Which is the second biggest value? (a) 5/2 (b) 153.6 (c) -1/2 (d) 4/7
a
What is the second biggest value in -2/7, -2/9, -2?
-2/7
What is the biggest value in 0.0242, -4, -0.02, 3?
3
What is the second biggest value in -10/11, 7/3, -0.02?
-0.02
Which is the fifth biggest value? (a) 0.2 (b) -2/25 (c) -1/10 (d) -4 (e) 0.4
d
What is the second biggest value in -0.5, -1.01, -2, -0.4?
-0.5
What is the fourth biggest value in -29, -2.8, 1, -0.1?
-29
What is the fourth biggest value in 2/15, -0.5, 11, 5?
-0.5
What is the smallest value in -4, 2/5, 0, -195?
-195
Which is the third smallest value? (a) -2 (b) -5 (c) 12
c
What is the third smallest value in 2/5, 0.09, 0.3, -2/13?
0.3
What is the second smallest value in 2/73, 4, 17, -0.05?
2/73
What is the second smallest value in -1/2, -7, -3/4?
-3/4
What is the second biggest value in 1, -0.04, 0, 35, 5?
5
What is the third smallest value in -0.05, 2/11, -22?
2/11
What is the third biggest value in -31, -1/3, 3/5, 4?
-1/3
What is the biggest value in -1.06, -5/3, 3?
3
What is the fourth smallest value in 2/11, 3, -5, -0.6?
3
Which is the third biggest value? (a) 2/3 (b) -2/1611 (c) 0.1 (d) -1
b
What is the second smallest value in -1, 0.5, 2/5, -0.4?
-0.4
Which is the smallest value? (a) -2 (b) -29 (c) 12
b
What is the fourth biggest value in 3, -0.15, -0.2, -5?
-5
What is the fourth biggest value in -2, 3, 11, -0.3?
-2
What is the third smallest value in 1, -5, 1/9, 0.2?
0.2
What is the biggest value in -0.3, -11, -14/5?
-0.3
What is the third smallest value in 0.5, 6, 1135?
1135
Which is the biggest value? (a) 0 (b) 5 (c) 1/10 (d) -6
b
Which is the fourth biggest value? (a) 2/5 (b) -1/4 (c) -0.04 (d) -3 (e) 10
b
Which is the second biggest value? (a) -5 (b) -1 (c) 0 (d) 1
c
What is the second biggest value in 0, -185, 0.14, 2?
0.14
What is the smallest value in 1.3, 2, 171?
1.3
What is the third smallest value in -0.2, 1, 2/27, -21?
2/27
What is the biggest value in -3.3, -0.02, -2/7, -0.4?
-0.02
What is the fourth biggest value in 1/3, 2, 4/7, -4?
-4
Which is the second smallest value? (a) 6 (b) -2/5 (c) 6/11 (d) -2/9
d
What is the fourth biggest value in 5, -2, -5, 2/5?
-5
What is the third biggest value in 26, 0.031, -1/6, -0.2?
-1/6
Which is the third smallest value? (a) 8 (b) -0.3 (c) 0.5
a
What is the smallest value in 0.03, 1/12, -2079?
-2079
Which is the biggest value? (a) -5 (b) -3 (c) 0.0902 (d) -2
c
Which is the biggest value? (a) -0.3 (b) -1/5 (c) -41 (d) 0
d
What is the third biggest value in -2, 34, 2, 1?
1
What is the third smallest value in -6, 146, 3, -1/2, -0.3?
-0.3
What is the fourth biggest value in 59, -5, 1/4, 0.5?
-5
What is the smallest value in 11, 72, 1/4?
1/4
What is the biggest value in 0.4, -36, 5?
5
Which is the fourth smallest value? (a) -2 (b) -2/19 (c) -2/15 (d) 176
d
Which is the third smallest value? (a) -0.1 (b) -3/7 (c) -5 (d) 15
a
What is the second smallest value in 0, -9/2, 6, 4, -5?
-9/2
Which is the second biggest value? (a) -2 (b) 0.155 (c) 0.02
c
What is the third smallest value in 34, -0.3, -3?
34
What is the third smallest value in 0.06, 118, -2/19?
118
Which is the third biggest value? (a) -701 (b) 0.2 (c) -2/13 (d) 3/2
c
Which is the third smallest value? (a) 4 (b) 0.16 (c) 0.1
a
What is the third smallest value in 4/7, -5, -2/23, 38?
4/7
Which is the third smallest value? (a) -7/6 (b) 0.2 (c) -0.3 (d) -8 (e) -3/4
e
Which is the smallest value? (a) 0.4 (b) 0.2 (c) 0.05
c
What is the smallest value in 2/7, -0.3, -1/8, 1, -22?
-22
Which is the fourth smallest value? (a) -122 (b) 3/4 (c) -0.4 (d) -1/4
b
Which is the second biggest value? (a) 2 (b) -4 (c) 3/5 (d) 64
a
Which is the second smallest value? (a) -13/3 (b) -1/11 (c) 6
b
What is the third smallest value in -3, 0.3, -1/6, 2.9, -1?
-1/6
What is the fourth biggest value in -0.3, -3, 0.51, 2/3?
-3
What is the second biggest value in -4, -3, -5/17, 1/2?
-5/17
What is the biggest value in -3, -9, -17?
-3
What is the second biggest value in -0.6, 1/2, 12?
1/2
What is the third biggest value in 3/4, 0.5, 0.04, -0.02?
0.04
What is the fourth biggest value in 1, -75/2, -3, 0.3?
-75/2
Which is the biggest value? (a) -0.049 (b) -70/9 (c) 1
c
Which is the second biggest value? (a) -0.4 (b) -47 (c) 6
a
Which is the third smallest value? (a) 2/11 (b) 7/6 (c) -88
b
Which is the third smallest value? (a) 1 (b) -18 (c) -0.1 (d) -5
c
What is the biggest value in -0.2, -0.7, 3, -5?
3
Which is the second smallest value? (a) 1/3 (b) 1/5 (c) -1/4 (d) -3
c
What is the second biggest value in -3, 274, 4?
4
Which is the second smallest value? (a) 106 (b) 5 (c) 0.1 (d) 5/4
d
What is the third smallest value in -5/2, -30, 0.4?
0.4
Which is the second smallest value? (a) -8 (b) 1/12 (c) -0.01
c
Which is the third smallest value? (a) -1 (b) 0.3 (c) -5 (d) -0.7 (e) 1
d
What is the biggest value in 0.2, -3, -2013?
0.2
Which is the second smallest value? (a) -3 (b) -7 (c) 5 (d) -0.5 (e) 4
a
Which is the third biggest value? (a) -11 (b) -701 (c) 5
b
What is the smallest value in 0, -0.4, 5, -5/6?
-5/6
What is the third biggest value in -5, 1.4, -2, 1?
-2
Which is the fourth smallest value? (a) 6 (b) -1 (c) -0.3 (d) -4/13 (e) 4
e
What is the biggest value in 1, -4/17, 0.1, -4?
1
What is the biggest value in -1/6, 0, -3, 41, -5?
41
What is the third biggest value in 1/5, 0.02, -1/7, 4?
0.02
Which is the second smallest value? (a) 96 (b) 0 (c) 2/13
c
What is the fourth smallest value in -3/4, -1, 2, 9?
9
What is the second biggest value in -2/11, 0.1, 3, 28, -4?
3
What is the biggest value in 121, -0.3, 0.6?
121
What is the fourth biggest value in 5301, 4/7, -2, -3?
-3
Which is the fourth biggest value? (a) -1/9 (b) -3 (c) -5 (d) -0.5
c
What is the third smallest value in 0.3, -29, -1/5, -3/8, -1/7?
-1/5
What is the third smallest value in -2, 5, -0.1, 1, -26?
-0.1
Which is the second biggest value? (a) 5 (b) 4 (c) -0.2 (d) -117 (e) 0.1
b
What is the third smallest value in 0.16, 3/11, -0.5?
3/11
What is the third biggest value in 3/5, 0.1, -0.7, 0.2, -1?
0.1
What is the biggest value in 14, 5, 4?
14
What is the third smallest value in 4, 0, 1, 19?
4
What is the smallest value in -4, 12/13, -0.2, 1?
-4
What is the smallest value in -1/4, -0.5, -3/7?
-0.5
Which is the second biggest value? (a) -31/2 (b) -12 (c) 8
b
What is the smallest value in 9, 17, -1/15, 3?
-1/15
What is the third smallest value in 5, 2/9, 5.03, 1?
5
Which is the smallest value? (a) 0.05 (b) -0.4 (c) 0.01 (d) -1
d
Which is the second smallest value? (a) 0.5 (b) 2 (c) 2.8 (d) -6 (e) -2
e
Which is the second big | {
"pile_set_name": "DM Mathematics"
} |
2
Collect the terms in -12*w**3 - 2*w**2 + w**2 + 20*w**2 + 3*w**3 + 20*w**2 + 22*w**2.
-9*w**3 + 61*w**2
Collect the terms in 56*t**3 - 86*t - 1 - 61*t**3 + 8*t**3.
3*t**3 - 86*t - 1
Collect the terms in -59856*k - 131168*k - 323772*k.
-514796*k
Collect the terms in t**2 - 1 - 154 + 52 - 546*t - 89.
t**2 - 546*t - 192
Collect the terms in -1465*o**2 - 1235*o**2 - 4*o + 2708*o**2 + 19*o.
8*o**2 + 15*o
Collect the terms in 132737537*b - 1 + 1.
132737537*b
Collect the terms in -14109*d + 95*d**2 + 4685*d + 4719*d + 4705*d.
95*d**2
Collect the terms in -4772 + 4772 + 1014698*n.
1014698*n
Collect the terms in 9*v - 8035 - 54*v - 8033 + 32135 - 8038 - 8030.
-45*v - 1
Collect the terms in -711*n**2 + 2355*n**2 - 358691 - 2*n + 358691.
1644*n**2 - 2*n
Collect the terms in 242*b**3 - 125*b**3 + 265 - 113*b**3.
4*b**3 + 265
Collect the terms in 225*n**2 - 24730586 - n**3 + 24730586.
-n**3 + 225*n**2
Collect the terms in 81*p**3 + 76*p**3 - 16*p**3 + 99*p**3 - 23*p**3.
217*p**3
Collect the terms in 42*d - 494639 + 164883 + 164875 + 164881.
42*d
Collect the terms in -33*d**2 + 15*d**2 + 15*d**2 - 8*d**2 + 0*d**2.
-11*d**2
Collect the terms in -359305*j**2 + 44 - 359296*j**2 + 718599*j**2.
-2*j**2 + 44
Collect the terms in -59*d**3 + 778*d + 772*d + 1119*d - 3439*d - 2 + 770*d.
-59*d**3 - 2
Collect the terms in -167*b**2 - 5*b**2 + 9 + 1 - 23 - 20*b**2.
-192*b**2 - 13
Collect the terms in -11*f + 45*f - 20*f - 182900 + 182903.
14*f + 3
Collect the terms in 157825*t**2 - 405102*t + 405102*t.
157825*t**2
Collect the terms in -1148*v**3 - 3687*v**3 - 758*v**3 - 3101*v**3 + 2408*v**3.
-6286*v**3
Collect the terms in 3*n**2 + 23 - 130 - 5*n**2 + n**2 - 116 - n.
-n**2 - n - 223
Collect the terms in -21354 - 6421 - 2511 + 3376 - 3*w.
-3*w - 26910
Collect the terms in 80387356*r**2 - 46 + 46 - 80387346*r**2.
10*r**2
Collect the terms in 48 + 39 + 5*l**3 - 16*l**2 + 42 - 129.
5*l**3 - 16*l**2
Collect the terms in 1023*m - 1023*m - 5624*m**2 - 3373*m**2 - 1241*m**2.
-10238*m**2
Collect the terms in 107529*k - 208018*k + 108567*k.
8078*k
Collect the terms in -198997*v**2 + 198997*v**2 + 6 - 447*v**3 - 3.
-447*v**3 + 3
Collect the terms in -153 + 18049*v + 34 + 33 + 42 + 44.
18049*v
Collect the terms in -2899 - 147*g**3 + 398*g**3 - 717.
251*g**3 - 3616
Collect the terms in 299*k**3 + 265 + 273 - 103*k**3 - 538 + 277*k**3.
473*k**3
Collect the terms in 12 + 45*c**3 + 38*c**3 + 10 - 22 - 190*c**3.
-107*c**3
Collect the terms in -2*c**2 - 33424*c**3 - 12*c**2 + 17*c**2.
-33424*c**3 + 3*c**2
Collect the terms in 8 - 3*l**2 + 7376*l - 2*l**3 + 0 - 6.
-2*l**3 - 3*l**2 + 7376*l + 2
Collect the terms in -87 - 531*i + 64 + 217*i - 1460*i + 21.
-1774*i - 2
Collect the terms in 1251 - 1251 + 156327*i**2.
156327*i**2
Collect the terms in 79*w**3 + 42*w + 55*w + 31*w + 125*w**3 - 128*w.
204*w**3
Collect the terms in 11276*z**2 - 22584*z**2 + 11329*z**2.
21*z**2
Collect the terms in -14784 + 582*f + 7464 + 7320.
582*f
Collect the terms in -699*f**3 - 762*f**3 + 1341*f**3.
-120*f**3
Collect the terms in 39*q**2 - 11*q + 7*q**2 + 2*q**2 + 3*q + 8*q**2.
56*q**2 - 8*q
Collect the terms in -18 - 802*p**2 - 9 - 4 + 31.
-802*p**2
Collect the terms in -673 - 605442*n**3 - 214454*n**3 + 673.
-819896*n**3
Collect the terms in 0*k**2 + 3*k**2 - 310*k**3 + 145*k**3.
-165*k**3 + 3*k**2
Collect the terms in 7369*n**2 - 2454*n**2 - 2411*n**2 - 2493*n**2.
11*n**2
Collect the terms in -74 - 5*m**3 + 26132*m - 25803*m + 2*m**3 + 74.
-3*m**3 + 329*m
Collect the terms in -25319*y**2 + 25319*y**2 - 1050*y**3.
-1050*y**3
Collect the terms in -31*k**3 - 17*k**3 - 93580*k - 3*k**3 + 46836*k + 46743*k.
-51*k**3 - k
Collect the terms in -44985707*u - 44985701*u + 89971391*u.
-17*u
Collect the terms in 7516*a - 48 - 133 + 181.
7516*a
Collect the terms in -34 + 4 + 2*a**3 - 19*a + 9*a + 39*a.
2*a**3 + 29*a - 30
Collect the terms in 103 - 75 + 2*u**3 + 63*u + 17 - 45 - 63*u.
2*u**3
Collect the terms in 37487203 - 9*l**2 - 74974403 + 37487199.
-9*l**2 - 1
Collect the terms in 834*l - 5039*l + 838*l + 831*l + 831*l + 871*l + 830*l.
-4*l
Collect the terms in 127*k**2 - 10601*k**3 - 140*k**3 - 254*k**2 + 127*k**2.
-10741*k**3
Collect the terms in 2365*p**3 - 654773*p + 654773*p.
2365*p**3
Collect the terms in 7637*i - 650*i - 2290*i.
4697*i
Collect the terms in 2*r - 4*r - 8*r - 10*r - 24*r - 5*r + 51*r.
2*r
Collect the terms in -521*j + 449*j + 72*j + 15 - 15 + 5*j**2.
5*j**2
Collect the terms in 36*t**2 + 11*t**3 - 276*t - 6*t**3 + 284*t - 8*t**3 + 42*t**2 + t**3.
-2*t**3 + 78*t**2 + 8*t
Collect the terms in -112 - 30355890*k + 22*k**2 + 30355890*k.
22*k**2 - 112
Collect the terms in 4 + 28*j**2 + 21*j + 18*j**2 - 46*j**2 - 10 + 50*j - j**3.
-j**3 + 71*j - 6
Collect the terms in 1098997 - 549400 - 549488 - 2*h.
-2*h + 109
Collect the terms in 2339*c + 6*c**2 + 10*c**2 + 2 + 20*c**3 + 1875*c.
20*c**3 + 16*c**2 + 4214*c + 2
Collect the terms in 18*p**3 - 13 - 75*p**3 + 1468521*p - 4 - 1468520*p - 17.
-57*p**3 + p - 34
Collect the terms in 397*r - 74*r - 72*r - 71*r - 76*r - 68*r - 27*r.
9*r
Collect the terms in 907930403 + 12*w - 907930403.
12*w
Collect the terms in 138*y + 382*y - 279*y**2 - 520*y.
-279*y**2
Collect the terms in -280*k**2 + 19 - 281*k**2 - 273*k**2 + 835*k**2 - 19.
k**2
Collect the terms in 39*m + 34*m - 73*m - 242334*m**2 + 242353*m**2.
19*m**2
Collect the terms in 119 + 27986*j + 6354*j + 16.
34340*j + 135
Collect the terms in -326 - 228622*r + 326.
-228622*r
Collect the terms in 115 - 84 - 581 - 37*f + 38*f.
f - 550
Collect the terms in -693*d + 10*d**2 + 207*d + 239*d + 247*d.
10*d**2
Collect the terms in 141*v**2 + 58*v**3 + 8 - 5 - 141*v**2 + 20*v**3.
78*v**3 + 3
Collect the terms in -1501608*r**2 + 1501608*r**2 - 447*r**3 - 669*r**3.
-1116*r**3
Collect the terms in 400 + 352 + 4*i + 420 - 1042.
4*i + 130
Collect the terms in 46*o**3 + 482*o - 2*o**2 - 437*o + 2*o**2 - 2*o**2 + 0*o**2.
46*o**3 - 2*o**2 + 45*o
Collect the terms in -371597*u**3 + 79927*u**3 - 55213*u**3.
-346883*u**3
Collect the terms in 29395*u**2 + 104*u + 112*u - 216*u.
29395*u**2
Collect the terms in -559*x - 621*x - 541*x - 523*x + 2336*x.
92*x
Collect the terms in -13*l**3 - 4*l**3 + 71 - 30*l**3 - 162 + 91.
-47*l**3
Collect the terms in 32 - 31 + 3 - 35*w + 101*w - 34*w - 33*w - 1.
-w + 3
Collect the terms in 150*f**2 + 436*f**2 + 729 + 722 - 1451.
586*f**2
Collect the terms in -8648638 + 4324317 + 4324321 - 5*l**2.
-5*l**2
Collect the terms in -3 - 67101*t + 71369*t + 3 - 2136*t - 2131*t.
t
Collect the terms in -150*s**2 + 1 + 342*s**2 - 157*s**2 - 1.
35*s**2
Collect the terms in 25457526*y - 1 - 25457518*y + 1.
8*y
Collect the terms in 176*a**2 + 1481*a - 2955*a - 210*a**2 + 1474*a.
-34*a**2
Collect the terms in -649 - 135*c**3 - 25*c**3 - 1177 - 113*c**3.
-273*c**3 - 1826
Collect the terms in 13*f**2 - 1041*f**3 + 460*f**3 - 1373*f**3 - 13*f**2.
-1954*f**3
Collect the terms in -19 + 351 + 8*p**3 + 3*p - 332 + 3*p.
8*p**3 + 6*p
Collect the terms in -5*k + 18*k**2 - 63*k**2 - 10 + 47*k**2 + 5*k.
2*k**2 - 10
Collect the terms in 7273779*s**2 + 7*s**3 + 7274038*s**2 - 14547817*s**2.
7*s**3
Collect the terms in 3990*u**3 + 728 - 650 - 3988*u**3.
2*u**3 + 78
Collect the terms in 223030*i**3 - 9*i**2 + 9*i**2 - 707401*i**3.
-484371*i**3
Collect the terms in -316 + 1495 - 307 - 9*k**2 - 251 - 308 - 313.
-9*k**2
Collect the terms in 28*r**3 - 26*r**3 + 19*r**3 + 6*r**3 + 72*r**3.
99*r**3
Collect the terms in 12*k**2 - 37*k**2 + 14*k**2 + 1018*k**3 + 11*k**2 + 601*k**3 - 1611*k**3.
8*k**3
Collect the terms in -2*c + 10417 - 10417 + 5*c**3 - 5*c + 2*c.
5*c**3 - 5*c
Collect the terms in 1 + 37*t**2 - 21*t**2 - 3 - 7*t**2.
9*t**2 - 2
Collect the terms in 100666*i**2 - 50319*i**2 - 50344*i**2 + 224102*i - 224102*i.
3*i**2
Collect the terms in 230*r**3 - 444*r**3 - 741*r**3 + 100*r - 100*r.
-955*r**3
Collect the terms in 30*y**3 + 67*y**3 - 297*y**3 - 1 - 2 + 81*y**3 + 75*y**3.
-44*y**3 - 3
Collect the terms in 20 + 25 - 71 + 26 - 22838*c**2 + 45669*c**2 - 22829*c**2.
2*c**2
Collect the terms in -457620*w**2 + 227848*w**2 + 228952*w**2.
-820*w**2
Collect the terms in -144*u + 111 + 109 - 326 + 50*u + 106.
-94*u
Collect the terms in 8*k - 15*k - 27162*k**3 + 12*k - 13210*k**3.
-40372*k**3 + 5*k
Collect the terms in 2327*u - | {
"pile_set_name": "DM Mathematics"
} |
+ n**2 - 1. Let g(i) = 9*i**3 - 4*i**2 + 2. Let d be (-2)/((-8)/(-4))*1. What is d*g(j) - 2*w(j)?
-11*j**3 + 2*j**2
Let n = -39 + 54. Suppose -n*d = -17*d - 8. Let v(i) = 2*i**3 + 4*i**2 - 3. Let g(u) = 2*u**3 + 4*u**2 - 4. What is d*v(o) + 3*g(o)?
-2*o**3 - 4*o**2
Let s(m) = -4*m + 147. Let r(h) = -25. What is -30*r(l) - 5*s(l)?
20*l + 15
Let z(k) = 15*k**2 + 5*k + 5. Let n(a) = -3*a + 7. Let d(q) = -7*q**2 - 14*q + 26. Let u(i) = d(i) - 4*n(i). What is 5*u(h) + 2*z(h)?
-5*h**2
Let j(g) = -8*g**2 + 9*g - 9. Let v(l) = -l**3 + 23*l**2 - 25*l + 26. Let c(y) = 11*j(y) + 4*v(y). Let i(o) = -4*o**3 + 3*o**2 + 4. Determine -3*c(q) + 4*i(q).
-4*q**3 + 3*q + 1
Let z(b) = -25*b**2 - 30. Let m(p) = -p**2 - 1. Suppose -4*f - h - 25 = 0, 90*f + 3*h = 95*f + 10. Determine f*z(k) + 150*m(k).
-25*k**2
Let q(a) = -a + 5. Let g be 1/(1/(-8)) + 15. Let t(f) = g + 1 - 2. Calculate 4*q(c) - 3*t(c).
-4*c + 2
Let c(m) be the third derivative of -3*m**4/8 + m**3/6 + 110*m**2. Let a(o) = o + 1. What is 2*a(w) - 2*c(w)?
20*w
Let s(y) = -y**2 + y. Let q(o) = 31 - 149 - 4*o**2 + 35 + 40 + 39 + 3*o. Suppose 13*i - 6 = 15*i. What is i*s(f) + q(f)?
-f**2 - 4
Let i(w) = w. Let p(y) be the first derivative of -5*y**2 - 5089. Calculate 5*i(t) + p(t).
-5*t
Let u(m) = -m**2 + 4*m + 2. Let b(c) = 8*c + 95. Let i be b(-9). Suppose 8*d = -17 - i. Let z(f) = f**2 - 4*f - 2. Calculate d*z(a) - 6*u(a).
a**2 - 4*a - 2
Let b(w) = -73*w**3 + 38*w**2 - 779*w + 1. Let v(t) = -19*t**3 + 10*t**2 - 195*t. Determine 5*b(u) - 19*v(u).
-4*u**3 - 190*u + 5
Let b(t) be the third derivative of -3*t**4/8 + 5*t**3/6 + 1737*t**2. Let z(p) = -2*p + 1. What is 6*b(r) - 26*z(r)?
-2*r + 4
Let c = -7 - -18. Let x(s) = 9 - 3 - 7 - 3. Let a(i) be the third derivative of -i**4/24 + 7*i**3/2 - 15*i**2. What is c*x(y) + 2*a(y)?
-2*y - 2
Let u(l) = 2*l**3 - 2*l - 1. Let w(y) = y**3 - y - 1. Let i = -9 + 198. Let c be i/63 + (6 - 0) + 0. Suppose c*g = 8*g - 2. Give g*w(x) + 2*u(x).
2*x**3 - 2*x
Let z = 3 - 2. Let u(i) = -i**2. Let o(h) = 4*h**2 + 359645 + 0*h - 179823 - 179820 + 0*h. What is z*o(m) + 2*u(m)?
2*m**2 + 2
Let d(x) = -292*x - 1. Let h(v) = -291*v + 1. Determine 3*d(u) - 2*h(u).
-294*u - 5
Let t(d) = 15188*d - 15197*d - 466*d**2 + 2 + 462*d**2. Let p(m) be the second derivative of -m**4/2 - 13*m**3/6 + 3*m**2/2 + m. What is -5*p(c) + 7*t(c)?
2*c**2 + 2*c - 1
Let v(c) = c**2 - 26*c - 5. Let b(h) be the third derivative of h**4/24 + h**3/6 - 687*h**2 + 10. What is -3*b(r) - v(r)?
-r**2 + 23*r + 2
Let f(b) = 8535*b**2 - 44*b + 5. Let a(v) = 1708*v**2 - 9*v + 1. What is -29*a(q) + 6*f(q)?
1678*q**2 - 3*q + 1
Let w(x) = -4*x**2 + 6*x**2 - 160 + 159. Let k(v) be the third derivative of v**4/24 + 71*v**2. Suppose 1 = 4*a + 5. What is a*w(b) - 2*k(b)?
-2*b**2 - 2*b + 1
Let y(r) = -2*r**2 + r - 1. Let l(g) = -49*g**2 - 7*g - 3. Give l(f) + 5*y(f).
-59*f**2 - 2*f - 8
Let j(g) = -3*g**3 - g + 11. Let k(w) = -54*w**3 + 24*w**2 - 20. What is 2*j(b) + k(b)?
-60*b**3 + 24*b**2 - 2*b + 2
Let i(z) = -35*z - 1. Let d(r) = -182*r + 1083. What is -d(g) + 5*i(g)?
7*g - 1088
Let g(i) = -i + 7. Suppose 0 = -29*r - 27*r - 56. Let u(n) = n + 1. Calculate r*g(w) + 4*u(w).
5*w - 3
Let d = 15 + -18. Let c(u) = u - 2. Let k(z) = -6 + z - 16 + 2*z - 10 + 26. What is d*k(q) + 8*c(q)?
-q + 2
Let c(i) = -9*i - 8. Let w(j) = 9*j + 9. Let z be (-60)/6*((-21)/6)/7. Calculate z*w(m) + 6*c(m).
-9*m - 3
Let w(t) = 3*t + 468. Let j(b) = 4*b + 466. What is 2*j(v) - 3*w(v)?
-v - 472
Let k(h) = 3*h**3 - 2*h - 1. Let o(j) = 36*j**3 - 298*j - 10. Give 10*k(v) - o(v).
-6*v**3 + 278*v
Let l(g) = -3*g - 2*g**2 + 4 - 3*g + 1 - 2. Let f(r) be the second derivative of r**4/12 + r**3/3 - r**2/2 + 756*r. Determine -8*f(o) - 3*l(o).
-2*o**2 + 2*o - 1
Let l(f) = -1943*f**3 + 5*f**2 + 10*f - 5. Let i(b) = 7770*b**3 - 21*b**2 - 42*b + 21. Determine -5*i(k) - 21*l(k).
1953*k**3
Let j(k) = 26*k - 236. Let l(m) = -6*m + 56. What is -2*j(a) - 9*l(a)?
2*a - 32
Let i(m) = -6*m**2 + 3*m + 1. Let c(n) be the first derivative of 11*n**3/3 - 7*n**2/2 - 3*n - 9166. Calculate 3*c(w) + 7*i(w).
-9*w**2 - 2
Let z(x) = 1. Suppose 12*u - 57 = -0*u + 3. Let v(m) = 5*m**3 + 5. Give u*z(h) - v(h).
-5*h**3
Let i be (32/24)/((4/(-42))/(17/(-34))). Let u(n) = -6*n**2 + 7*n - 5. Let o(k) = -5*k - k**2 + k**2 + 4*k**2 + 3. Calculate i*o(h) + 5*u(h).
-2*h**2 - 4
Let g(y) = 5*y**3 + 8*y**2 - 10*y - 1012. Let z(w) = -8*w**3 - 14*w**2 + 18*w + 2023. Determine 9*g(o) + 5*z(o).
5*o**3 + 2*o**2 + 1007
Let x be 0*2/(-6) - -12. Suppose x*k = -2*k + 14. Let c(w) be the second derivative of -w**3/6 + w**2/2 - 3*w. Let t(p) = -7*p + 4. What is k*t(m) - 2*c(m)?
-5*m + 2
Let t(z) = 2*z + 1. Let n(p) = 1. Let v = 507 + -506. What is v*t(j) - 2*n(j)?
2*j - 1
Let w(g) be the second derivative of g**3/6 - g**2/2 - 3166*g. Let f(m) = 14*m - 6. What is -5*f(h) + 30*w(h)?
-40*h
Let f(t) = -3*t**2 + t - 3. Let k(a) = 7*a**2 - 2*a + 7. Let w be (-4)/12 + 7/3 - -3. Suppose -w*z + 21 = -h, 0 = -0*z + z - h - 5. What is z*k(y) + 9*f(y)?
y**2 + y + 1
Let n be 6/(-24)*(9 + -21). Let z(o) = 7*o**3 - 4. Let t(b) = 7*b**3 - 3. Calculate n*z(y) - 4*t(y).
-7*y**3
Let k(w) = 28*w**3 - 23*w**2 - 212. Let q(o) = -37*o**3 + 30*o**2 + 285. Calculate 13*k(b) + 10*q(b).
-6*b**3 + b**2 + 94
Let g(x) = 4*x - 4. Let w = 74 + -63. Let m(z) = z**3 - 11*z**2 - z + 2. Let v be m(w). Let u be v/6*30/(-9)*-1. Let j(p) = 7*p - 7. Calculate u*g(h) + 3*j(h).
h - 1
Let d(s) be the third derivative of s**5/60 - 95*s**2 + 5*s. Let z(k) be the first derivative of 4*k**3/3 + 4*k + 62. What is 3*d(m) - z(m)?
-m**2 - 4
Let b(j) = 9*j**2 + 7*j - 136. Let a(s) = 11*s**2 + 9*s - 137. What is 4*a(l) - 5*b(l)?
-l**2 + l + 132
Let r(b) = 131*b**3 + 11*b + 2. Let d(a) = 132*a**3 + 12*a + 3. Give 4*d(c) - 5*r(c).
-127*c**3 - 7*c + 2
Let s(v) be the first derivative of -v**2/2 + v + 1067. Let l(x) = -x + 4. Calculate -l(y) + 4*s(y).
-3*y
Let x(d) = 6773*d - 1042. Let s(g) = 5*g - 1. What is 1042*s(a) - x(a)?
-1563*a
Let z(j) = -j - 1 + j + 5*j - 6*j. Let w(b) = -1. Let d(q) = -w(q) + z(q). Suppose 0 = -14*f - 13*f + 135. Let u(n) = 3*n. What is f*u(a) + 18*d(a)?
-3*a
Let r(j) be the third derivative of j**6/40 - j**5/12 - j**3/6 - 13*j**2 - 30. Let v(x) = -7*x**3 + 9*x**2 + 1. Give -5*r(m) - 3*v(m).
6*m**3 - 2*m**2 + 2
Suppose 0 = 3*l - 3*y - 6, -10 = l - 6*l - 3*y. Let v(p) = p - 1. Let b(t) = 12869*t - 25729*t + 0 + 12872*t - 14. Determine l*b(j) - 22*v(j).
2*j - 6
Let o(v) = -2*v**3 - 4*v**2 - v - 1. Let d(x) = -3*x**3 + 12*x**2 - x + 2. Let t(g) = d(g) + 2*o(g). Let q(r) = 6*r**3 - 3*r**2 + 4*r. What is 4*q(k) + 3*t(k)?
3*k**3 + 7*k
Let m(f) = 28*f**3 - 1217*f**2 + 44. Let x(o) = -21*o**3 + 912*o**2 - 32. Give -8*m(i) - 11*x(i).
7*i**3 - 296*i**2
Let y(v) = 2*v**3 - 3*v**3 - 3 + v - 4*v. Let p be 15/(675/60 - 12). Let w(t) = 8*t**3 + 20*t + 20. Calculate p*y(a) - 3*w(a).
-4*a**3
Let g(t) = -29*t**2 + 10*t - 70. Let l(r) = -33*r**2 + 12*r - 71. What is 6*g(f) - 5*l(f)?
-9*f**2 - 65
Let q(w) = -w + 3. Let r be q(1). Let f(t) be the first derivative of -t**2/2 + t + 527. Let p(o) = o - 1. Give r*p(x) + f(x).
x - 1
Let d(l) = -l**3 + 49*l**2 - 10*l + 484. Let q be d(49). Let v(o) = -26*o + 5. Let t(f) = 25*f - 4. Give q*t(j) - 5*v(j).
-20*j - 1
Let g(u) = 35*u**2 - 423*u + 4. Let r(l) = -123*l**2 + 1268*l - 11. Determine -7*g(b) - 2*r(b).
b**2 + 425*b - 6
Let o(a) = 27*a - 28. Let z(y) = 40*y - 29. Calculate -3*o(h) + 2*z(h).
-h + 26
Let o(k) = 1140 + 3*k - 5057*k**2 + 5051*k**2 - 1145. Let q be 1/1 + (0 - 0). Let t(x) = -x**2 + x - 1. Give q*o(y) - 3*t(y).
-3*y**2 - 2
Let v(p) = p**2 - 1. Let f(s) = -1 + 20*s + 3*s**2 - 3 + 0 + 4*s + 2*s**3 - 20*s. Calculate -f(r) + 3*v(r).
-2*r**3 - 4*r + 1
Let x(o) = 155*o + 169. Let g(z) = 724*z + 844. Give -6*g(j) + 28*x(j).
-4*j - 332
Let j = -86 - -91. Let g(u) = -2*u - 8. Let h(c) = c + 3. Let o(i) = g(i) + 3*h(i). Let k(f) = -4*f - 4. What is j*o(v) + k(v)?
v + 1
Let n(d) = 268*d**2 + 292*d**2 + 51*d**3 - 6*d**3 - 520*d**2. Let m(f) = -f**3 - f**2. What is -120*m(r) - 3*n(r)?
-15*r**3
Let s(d) = 46*d**2 - 32*d - 40. Let c(v) = -19*v**2 + 17*v + 20. Calculate -7*c(k) - 3*s(k).
-5*k**2 - 23*k - 20
Let o(k) = 1000*k - 33. Let c(a) = -501*a + 20. Calculate 10*c(h) + 6*o(h).
990*h + 2
Let n(z) = z**2 + 2 | {
"pile_set_name": "DM Mathematics"
} |
**3. What is the derivative of q(l) wrt l?
95
Let l be (((-2)/4)/(-1))/((-12)/(-1056)). Suppose -6*m + 110 = l. What is the second derivative of 449 - z**3 - m*z - 449 wrt z?
-6*z
What is the third derivative of -143*g**4 + 77*g**2 + 19*g**2 + 147*g**4 + 119*g**6 wrt g?
14280*g**3 + 96*g
Let q(m) be the second derivative of 2177*m**5/10 - 139*m**3/6 + 2*m**2 - 4792*m. Find the second derivative of q(t) wrt t.
26124*t
Let i = 452 + -268. What is the third derivative of -3*k**3 - 49 - 104*k**3 + 30*k**2 - i*k**2 + 49 wrt k?
-642
Let h(n) = -n**3 + 16*n**2 + 16*n + 20. Let w be h(17). Suppose i = -w*y - 0*i + 12, 19 = 5*y + 2*i. Find the second derivative of 8*b**y + b - 5*b - 3*b wrt b.
160*b**3
Let v(t) = -515*t**3 - 28*t**2 - 2311*t + 7. Let z(j) = 514*j**3 + 24*j**2 + 2311*j - 6. Let o(n) = -6*v(n) - 7*z(n). Find the second derivative of o(u) wrt u.
-3048*u
Let u(o) be the second derivative of -7*o**5/10 - 245*o**4/12 - o + 107. What is the third derivative of u(v) wrt v?
-84
Differentiate -1168 - 438*q**4 - 198*q**4 - 529 with respect to q.
-2544*q**3
What is the first derivative of 6000*q - 205 - 6000*q - 173*q**3 - 299 - 306 wrt q?
-519*q**2
Find the third derivative of -26*v**4 + 2*v - 99*v**4 + 2 - 97*v**2 + 157*v**3 + 122*v**4 wrt v.
-72*v + 942
Let o = -392 + 396. What is the second derivative of -41*c**o - 23*c + 62*c + 68*c wrt c?
-492*c**2
Find the first derivative of 873*t - 496*t**2 - 873*t - 1130 - 473*t**2 wrt t.
-1938*t
Suppose 4*n + 2 = -3*z, 2*n + 6 = -n. Suppose z*h = 44 - 40. Find the third derivative of 4*q**3 - 3*q**h - 46*q + 46*q wrt q.
24
Let a be 0/(5 - 4) - -28. Suppose -29*y + a*y + 48 = 0. What is the second derivative of -9*n + 2*n - 21*n**5 - 48*n**5 + y*n**5 wrt n?
-420*n**3
Let n(s) = -s + 17. Let z(y) = 3*y + 27. Let c be z(-15). Let u be n(c). Find the first derivative of -u*q**2 + 14*q**3 + 35*q**2 + 7 wrt q.
42*q**2
Suppose -2*b + 4*f + 91 = b, 0 = 3*b - 3*f - 93. Suppose -10*k + 13*k = b. Find the third derivative of 3*q**3 + 20*q**3 - k*q**3 - 5*q**2 wrt q.
72
Let s(c) = -c**2 + 145*c - 161*c + 4*c**2 - 2*c**2 + 2. Let l be s(16). What is the third derivative of -16*m**4 - 9*m**l + 20*m**4 - 14*m**2 wrt m?
96*m
Suppose -484*f - 252 = -472*f. Let z(h) = -123*h**3 + 17*h. Let d(o) = -41*o**3 + 6*o. Let s(a) = f*d(a) + 6*z(a). What is the second derivative of s(b) wrt b?
738*b
Suppose -x + 40 = -5*x. Let d be -2 + ((-9)/6 - 65/x). What is the third derivative of 5*k**d - 9*k**3 + 14*k**2 + 2*k**3 wrt k?
-12
Let u(j) = -j**3 - j**2. Let h = 87 - 84. Let w(t) = 44*t**2 - 74*t**3 - 13*t**2 + 47*t**h. Let c(d) = u(d) - w(d). What is the third derivative of c(q) wrt q?
156
Suppose -5*q + 6*q - 4 = 0, 4*q - 19 = o. Let n be (o/1)/(6*(-3)/24). What is the third derivative of 2*i**2 + n*i**2 - 3*i**2 + 18*i**4 wrt i?
432*i
Let o = -30 - -34. Suppose 0*a = i - o*a, 3*a = 5*i - 51. Differentiate -33 - i*b**4 + 23*b**4 + 17*b**4 + 8*b**4 wrt b.
144*b**3
Let i be (-27)/(-3) - ((-4)/(-1) + 1). Find the first derivative of -c**4 + 81 - 22*c**2 + 15*c**2 + 7*c**2 + 2*c**i wrt c.
4*c**3
Let n(c) be the third derivative of 16/105*c**7 + 0*c + 5/6*c**3 - 51*c**2 + 1/30*c**5 + 0*c**4 + 0*c**6 + 0. What is the third derivative of n(o) wrt o?
768*o
Let b(w) be the first derivative of -20*w**3 + 6/5*w**5 + 81 + 0*w + 0*w**2 - 3/4*w**4. Find the third derivative of b(m) wrt m.
144*m - 18
Find the third derivative of 17 + 5892*o**3 + 360*o**4 - 5892*o**3 + 6*o**2 wrt o.
8640*o
Let y(x) be the first derivative of 7*x**6/30 - x**3/3 + 34*x**2 - 31*x + 39. Let v(p) be the first derivative of y(p). What is the derivative of v(j) wrt j?
28*j**3 - 2
Let o(u) = 1151*u**2 - 66. Let l(f) = 1151*f**2 + f - 50. Let z(s) = -5*l(s) + 4*o(s). Find the second derivative of z(c) wrt c.
-2302
Let o = -14 + 13. Let m(r) = -9*r - 7. Let j be m(o). Find the first derivative of 13*v**3 - j*v**4 + 6 + 9 - 13*v**3 wrt v.
-8*v**3
Let h(c) be the second derivative of c**7/840 - 5*c**5/12 + 13*c**4/8 + 71*c**3/6 - 90*c. Let y(f) be the second derivative of h(f). Differentiate y(o) wrt o.
3*o**2 - 50
Let d = -151 - -153. What is the first derivative of 10*w**d + w**3 - 9*w**2 - 53 + 19*w**2 wrt w?
3*w**2 + 40*w
What is the first derivative of -189*x**2 - 18206*x**3 + 9*x**2 - 935 + 18208*x**3 wrt x?
6*x**2 - 360*x
Let w = 278 + -276. Let g(u) = -171*u**2 - 2*u + 181. Let a(h) = 169*h**2 + 3*h - 179. Let z(s) = w*a(s) + 3*g(s). What is the derivative of z(j) wrt j?
-350*j
Suppose -2*g + s = -117 - 203, 5*s = -2*g + 320. What is the second derivative of 56*x**2 + 14145 - 14145 - g*x wrt x?
112
Let z(d) = 21*d - 162. Let n be z(8). Let f = 109 - -145. Find the third derivative of 26*l**n + f*l**2 - 260*l**2 + 4*l**6 wrt l.
3600*l**3
Let q(b) = -b**2 + 17*b - 30. Let y be q(15). Suppose -2*h + 6 = -y*h. Find the third derivative of -156*t**h + 156*t**3 + 14*t**2 - 8*t**5 wrt t.
-480*t**2
Let s(g) be the second derivative of -937*g**3 + 909*g**2/2 - 5763*g. Find the first derivative of s(v) wrt v.
-5622
Suppose -3*w + 324 - 315 = 0. Let v(b) = -b. Let y(p) = 3*p - 1 + p - 6. Let l(h) = w*v(h) - y(h). Differentiate l(o) wrt o.
-7
Suppose 30*d - 63*d + 3135 = 0. Find the first derivative of 95*p**2 + 4*p**3 + 74 + 0*p - d*p**2 - 20*p**4 + 0*p wrt p.
-80*p**3 + 12*p**2
Find the third derivative of 381*r**4 - 1 + 109*r**4 + 509*r**4 + 48*r + 0 - 531*r**6 + 528*r**6 + 12*r**2 wrt r.
-360*r**3 + 23976*r
Let f(k) be the third derivative of -215*k**8/48 + 1481*k**5/60 - 1760*k**2. What is the third derivative of f(p) wrt p?
-90300*p**2
Let f(g) = g**2 + 30*g + 193. Let b be f(-9). What is the derivative of z**2 + 27*z**4 - 83 + 41*z**b + 190 wrt z?
272*z**3 + 2*z
Let r = -28 - -31. Let q be 11/(4/(r - -1)). Find the third derivative of 46*l**4 - 28*l**2 - q*l**4 - l**4 wrt l.
816*l
Let r(z) be the third derivative of -187*z**6/24 + 51*z**5/20 - z**3/3 - 7*z**2 + 127*z. What is the third derivative of r(f) wrt f?
-5610
Let z(t) = t**2 - t. Let d(j) = 80*j**2 + 29*j. Let r = 233 + -232. Let p(q) = r*d(q) + z(q). What is the second derivative of p(y) wrt y?
162
Let x(c) = -9*c**3 - 1511*c**2 + 3585*c + 8. Let n(g) = 7*g**3 + 1478*g**2 - 3585*g - 7. Let h(m) = -6*n(m) - 5*x(m). Find the second derivative of h(r) wrt r.
18*r - 2626
Let y(h) = 161*h**4 - h**3 - 370*h**2 + h - 1. Let s(v) = -v**4 - 2*v**2 - 1. Let i(g) = s(g) - y(g). What is the third derivative of i(r) wrt r?
-3888*r + 6
Let g(m) = -8*m - 14. Let c be g(-4). Let x be c/9 - 2*1. What is the second derivative of 15*p**5 + 2*p - p + x*p**5 - 4*p wrt p?
300*p**3
Let w(z) be the third derivative of -43/120*z**6 + 0*z + 0*z**3 + 0 - 1/60*z**5 + 107/24*z**4 + 21*z**2. What is the second derivative of w(s) wrt s?
-258*s - 2
Let r = 44 - 37. Let w be (3 - (-2 - r/(-2)))*2. What is the second derivative of 0*x + 4*x - 9*x - 14*x - 15*x**w wrt x?
-90*x
Let k = -6 + 10. Suppose 4*n + k*m + 4 = 0, 3*m = 3*n - 0*m - 15. What is the third derivative of -45 + n*y**4 + 19 + 26 - 17*y**2 wrt y?
48*y
Let u(n) be the third derivative of 729*n**6/40 - 2447*n**5/60 + 2*n**2 - 2037. Find the third derivative of u(s) wrt s.
13122
Let d(m) = 8*m + 297. Let z be d(-36). Differentiate z*k - 1886*k**3 - 9*k + 117 + 2*k**2 + 1892*k**3 wrt k.
18*k**2 + 4*k
Let k be (-1)/(-2) - 3/(-18)*-3. Suppose 4*p - l = -k*l + 3579, 4471 = 5*p - 4*l. What is the derivative of p*m + 12*m**2 + 13 - 895*m wrt m?
24*m
Let z(c) = -c**2 + 37*c + 159. Let l be z(39). What is the third derivative of -7*d**4 - 2*d + l*d**4 - d - 4*d**2 - 3*d**2 + 25*d**4 wrt d?
2376*d
Let t be 1 - (4/(-30) - 96/30). Let d(z) be the first derivative of -z + 35/2*z**2 + 48 + t*z**3. What is the second derivative of d(a) wrt a?
26
Differentiate -283*a**4 - 3*a**3 + a**2 - 1084 + 9*a**3 - 6*a**3 - 320*a**4 wrt a.
-2412*a**3 + 2*a
Let w = 283 - 183. Suppose 54*t = 50*t + w. Find the second derivative of 561*z - 271*z - t*z**2 - 279*z wrt z.
-50
Let y(m) = 508*m**3 + 21*m**2 - 7*m + 451. Let a(b) = b**3 - 3*b**2 + b - 10. Let g(u) = -7*a(u) - y(u). Find the first derivative of g(c) wrt c.
-1545*c**2
Let o(y) be the second derivative of 0*y**4 + 13*y + 0*y**2 - 1/2*y**5 + 1/42*y**7 + 4 + 26*y**3 + 0*y**6. Find the second derivative of o(g) wrt g.
20*g**3 - 60*g
Let o(t) be the fir | {
"pile_set_name": "DM Mathematics"
} |
.8 - 9. Suppose 0 = -t - 3*r - 14, -499*t + 27 = -492*t - 4*r. Let d = -0.2 - -0.1. Which is the nearest to t? (a) d (b) x (c) 5
a
Let n = 362 + -362.1. What is the closest to n in -38, -4, -3, 3?
-3
Let p = 80 + -80.3. Let d(x) = -x**3 + 13*x**2 - 39*x + 35. Let c be d(9). What is the closest to 2/7 in c, 2, p?
p
Let l be (-2244)/2448 - 1/(-1). Which is the closest to -2.2? (a) 9 (b) 1/4 (c) l
c
Let o = 22/469 - -828/2345. Which is the closest to -176? (a) 0.3 (b) o (c) -1.7
c
Let d = -166272/65 + 2558. What is the closest to d in 1/3, 9/4, -0.5?
1/3
Let g = -0.1 - 0. Let n be (-216)/408 - (0 - 1). Let s = n + -38/153. Which is the closest to g? (a) -0.08 (b) s (c) 0
a
Let h = -7959/20 - -385. Let i = -66/5 - h. Which is the nearest to -1/4? (a) 2/5 (b) i (c) 1
b
Suppose -4*l + 4*k + 52 = 0, 0 = 2*l - 0*l - 4*k - 26. Let z = -1334 - -1334. Let o = 170 + -1868/11. What is the nearest to o in l, 0.2, z?
0.2
Let y = 36116/1869 + 6/623. Let m = -6543 + 58715/9. Let q = y + m. Which is the closest to -1? (a) q (b) 1/3 (c) -3
a
Let m be 3 + (-10)/(-4)*-2. Suppose -5*p - 14 = -2*s - 63, 0 = 4*s - 4*p + 80. Let d = 154/9 + s. What is the nearest to m in d, 0.1, 0.4?
0.1
Let p = -94 - -133. Let r be (-23)/65 + ((-6)/p)/(-1). Which is the nearest to r? (a) 2 (b) 1/8 (c) 1/2
b
Let q = 22 - 15. Let r = -0.08 + -0.02. Let y = 28350 + -28350. What is the nearest to q in r, -1, y?
y
Let g = 93.62 + -93.62. What is the closest to g in 0.4, -2/7, 13, 1/3?
-2/7
Suppose -11*f + 7*f = 4*n - 48, 5*f - 4*n + 3 = 0. Let h be 0 - (2/(-4))/1. Let r = -11.69 - 0.31. Which is the nearest to -1? (a) r (b) f (c) h
c
Let q = 155.67 + -1.97. Let l = -154 + q. Which is the nearest to 0.1? (a) 1 (b) l (c) -0.2
c
Let l be 8 - ((-12)/(-14))/((-381)/(-3556)). What is the closest to -0.3 in 3/5, 3, l, -2?
l
Let m be 34/(-280) + (-4)/40. Let s = -7/20 + m. Which is the closest to 1/4? (a) 2 (b) s (c) -3
b
Suppose 5*f + 2*m - 26 = -90, 3*f + 3*m = -51. Let z = -189/11 - -17. Which is the nearest to f? (a) z (b) 2/11 (c) -5
c
Let s be -1*(20 - (-663)/(-34)). Which is the closest to s? (a) 3 (b) -1/4 (c) -2/3 (d) 3/2
c
Let a = -53.0143 - -0.1143. Let r = 410 - 463. Let b = a - r. What is the closest to 0 in 0, b, 3/2?
0
Let l = 657 - 717.4. Let o = 60 + l. Let c = 1010/9 + -112. What is the nearest to -0.05 in c, 1/5, o?
1/5
Let g = -0.03281 - 1.96719. Which is the closest to g? (a) -0.05 (b) -10 (c) 0.3
a
Let p = -3018 - -3017. Which is the nearest to 9? (a) p (b) -4 (c) 4 (d) 0.2
c
Suppose -j - 2*j = -0*j. Suppose j = 2*o - 34*m + 39*m - 8, 2*m = o - 4. What is the closest to -1 in 0.4, o, -3?
0.4
Let t be (2/168*14)/1. Let i be (-2)/(-5) - 9/10. What is the closest to -1 in -2/5, t, i?
i
Let j = 4739/27336 - -5/1608. Which is the nearest to j? (a) 42 (b) -2 (c) 3
b
Suppose 0 = -36*z + 33*z + 48. Suppose 4*v + z - 8 = 0. Let n be (-2)/(-14) + (-195)/728. What is the closest to v in n, 0.4, 2?
n
Suppose 40 = -22*r + 3 + 103. Which is the closest to -7? (a) r (b) 0.05 (c) -3/5 (d) -2
d
Let c = -31.13 + 35.13. Let k be (-14)/(-77) + (-30)/44. What is the closest to k in 2, -32, c?
2
Let m = -23 + 33. Let w = -15 + m. Let n(p) = 2*p**2 + 10*p - 13. Let i be n(-6). Which is the nearest to i? (a) 0.5 (b) 0.3 (c) w
b
Let h = 0.8 + 0.2. Let o = 4983 - 4982.8. Which is the nearest to 0.1? (a) -2/15 (b) h (c) o (d) -4
c
Let k = 464.098 + -464. Let u = 1.902 + k. Which is the nearest to u? (a) 4 (b) 2/23 (c) -1 (d) 6
b
Let s = 7 - 4. Let y be ((-27)/(-72))/((-9)/6). What is the closest to y in -0.06, 0.5, s, 4?
-0.06
Let g(q) = -3*q + 2. Suppose 8 = -16*w + 24*w. Let d be g(w). Which is the closest to -0.1? (a) d (b) -5 (c) 2/35
c
Suppose 0 = -3*s + 2*x - 11, -8*x + 10*x - 13 = s. Let f be 4/6*-1 + 1. Let m = 14.9 + -15. What is the closest to f in -0.4, s, m?
m
Let a = -1250 - -11248/9. Let k = -8 + 17. Let z = k - 9.1. What is the closest to z in a, -2/11, -5?
-2/11
Let j = -673/924 + 19/308. Let g = -0.01 + 0.11. Which is the nearest to 0? (a) -4 (b) j (c) g
c
Let h = -20 - -19.7. Let n be (-4)/(-4 + 8) + -1. Let m be (n/12)/((-1 - 4)/(-10)). Which is the nearest to m? (a) 0.3 (b) h (c) 7
b
Let u be (6/4)/((-3)/(-8)). Suppose u = -a - a. Let x = 878961/2 + -439482. What is the closest to a in x, 2, 4?
x
Let o = -115.52 - -115.302. Which is the closest to -1? (a) 0.2 (b) 13 (c) o
c
Suppose 3*y + 3*j - 63 = 0, -8*y + 3*y - 4*j + 102 = 0. Which is the closest to -1? (a) y (b) -1/8 (c) -3 (d) -1
d
Let q(t) = -7*t - 2. Let y be q(-1). Let k = 2307 + -2307.4. Let f = 0.4 - 0.9. Which is the nearest to 1/6? (a) f (b) y (c) k
c
Let h = -1 - -2. Let f = 978/7 - 2927/21. Let r = 2.75 + 0.25. What is the closest to 0.1 in h, r, f?
f
Let z = 2 - 2.1. Let x = 4.046 - 0.046. Let i = 1.3831 + 0.8169. Which is the nearest to z? (a) x (b) 2 (c) i
b
Suppose 3*p = 2*n + 47, -7 = 78*p - 79*p + 5*n. Which is the closest to -2? (a) 0.2 (b) 2 (c) p (d) 0.4
a
Let w be 57/63 + ((-11184)/252)/(-4) + -11. Let v(q) = q**2 + 3*q + 2. Let m be v(-2). Which is the closest to -11? (a) m (b) 0.1 (c) w
a
Suppose -5*i + 30 + 47 = -3*f, 5*i - 79 = f. Suppose 28 = -11*m - i. Which is the closest to 1? (a) m (b) 10 (c) 0
c
Let i = -6 - -4. Let u = 2.27 + -1.87. Let y be 1/(363/22 + -10). Which is the closest to i? (a) y (b) -4 (c) u
b
Let s = 1.95 + -181.95. Let g = s + 182. Let x = -0.64 + -0.16. Which is the closest to 2/3? (a) g (b) -3 (c) x
a
Let c = 722 + -721.5. What is the closest to -4 in 2, 0.3, -0.05, c?
-0.05
Let q = 14 - 10. Let z be (-3)/130*(-2112)/(-4752). What is the nearest to 2/3 in z, 0.4, q?
0.4
Let g = -2491 + 2493. What is the closest to g in -0.1, -3.2, -5/3?
-0.1
Let v be ((-1)/(-2) - (-28)/42)*6. Let l = 0.1 + 0. What is the closest to -0.09 in 1/5, v, l?
l
Let p be ((-1)/2)/((-7)/(-4)). Let b = 663.67 + -664.07. Let f be (-9)/5 + (2 - 3). What is the nearest to p in b, -0.2, f?
-0.2
Let k = 22119 + -44239/2. Let h = 0.8 - 0.7. What is the nearest to -3 in k, h, 2/13, 2?
k
Suppose -2254 = 7*o - 2107. Which is the closest to 6? (a) -3 (b) 2 (c) o (d) -5
b
Suppose -v - 8*v = -783. Let t = v + -71. Suppose -15*g = -11*g + t. Which is the closest to 1? (a) g (b) -0.5 (c) 4
b
Let h(r) = 25*r - 98. Let d be h(21). Let s = -4699/11 + d. Which is the closest to 2? (a) -1 (b) 1 (c) s
b
Let i(n) = n + 384. Let y be i(0). Let q = -8830/23 + y. Let w = 0.91 - 0.71. Which is the nearest to 2/3? (a) w (b) 0.5 (c) q
b
Let b be (-2)/10 - (-42)/(-240) - 490/(-240). What is the closest to 0.4 in b, 4, -3, 0.23?
0.23
Suppose 2*y + 98 = 2*r, 2*y = -y + 4*r - 149. Let d be (-23312)/(-1116) + (0 - 21). Which is the closest to 0.1? (a) y (b) -2/11 (c) d
c
Let m = -414 - -410. Let p = 2.059 + -0.059. Which is the nearest to -1/3? (a) m (b) p (c) -4/7
c
Let r = -1.162 + 1.462. What is the closest to r in 2/11, -102, -2?
2/11
Let j be (24/36)/(4/6). Let z be (-26)/(-12) + j - 27/(-81). Which is the closest to -0.1? (a) z (b) 10 (c) -5
a
Let c = -1237/156 - -280/39. What is the nearest to 6/35 in -23, 0.1, c?
0.1
Suppose -122*a = -120*a - 10. Let s be (3/(-9))/((-1)/(a - 7)). What is the closest to -0.2 in s, 7, 0.3?
s
Let j = -0.1 + -0.1. Let i be (-2)/(1/((-45)/(-30))). Which is the closest to 1? (a) j (b) 1/4 (c) -0.074 (d) i
b
Let j = -481 + 480. Suppose 0 = 4*i + 3*r + 20, 3*i + 5*r + 22 = r. Which is the nearest to -1/5? (a) j (b) i (c) -24
a
Let k = 6030 - 6030.4. Let i = -2.3 + 1.3. Which is the nearest to -0.47? (a) 2 (b) i (c) k
c
Let n = -13824 + 13824.5. What is the nearest to 41/4 in -0.2, 0.4, n?
n
Let v = 5.1 + -5. Let j = 28600.95 + -28601. Which is the closest to 1/3? (a) v (b) j (c) -0.3
a
Let k = -620 + 421. Let v = 209 + k. Which is the nearest to 0.2? (a) -1/2 (b) v (c) -0.2
c
Let n = -0.5 - -0.57. Suppose 1728*q - 588*q = -1031*q + 10855. Which is the closest to n? (a) 1/2 (b) q (c) 4 (d) 0
d
Let s(z) = -7*z**2 - 78*z - 175. Let m be s(-9). What is the nearest to -1 in -3, -2/3, -0.1, m?
-2/3
Let h = 5949 + -5952. Which is the nearest to h? (a) 2 (b) -1 (c) 6
b
Let t be (-1115)/(-1784) - (-2 + (-19)/(-8)). Which is the nearest to 18? (a) -0.5 (b) -5 (c) t | {
"pile_set_name": "DM Mathematics"
} |
b**2 - 3*b**j - b**2 + 3*b**2. Let s(c) be the third derivative of -c**4/3 + c**2. Calculate s(i(w)).
16*w**2
Let n(q) = 2*q**3 + q**2 - q. Let u be n(2). Let g(y) = 298 + u*y**2 + y**2 - 296. Let a(v) = v. Calculate g(a(m)).
19*m**2 + 2
Let f(v) = -2*v. Let q(o) = 8230*o**2 + 6*o. Give q(f(r)).
32920*r**2 - 12*r
Let x(j) = -2*j + 291. Let c(l) = 5*l**2 - 8*l. Give c(x(d)).
20*d**2 - 5804*d + 421077
Let i(z) = -2*z. Let x(u) be the first derivative of u**2/2 - 73*u - 183. Calculate i(x(k)).
-2*k + 146
Let z(l) be the third derivative of -l**4/8 + 29*l**2. Let j(b) = 16*b - 3. What is z(j(o))?
-48*o + 9
Let d(q) = -6*q. Let x(v) be the second derivative of -5*v**3/3 + 17*v - 16. What is x(d(p))?
60*p
Let m(g) be the first derivative of 5*g**2/2 - 1. Let y(j) = -14*j. Calculate m(y(n)).
-70*n
Let x(j) be the first derivative of -13*j**2 - 3*j + 5. Let u(r) = 3*r - 2. Let p(c) = -17*c + 11. Let v(y) = -4*p(y) - 22*u(y). Calculate x(v(m)).
-52*m - 3
Let t(x) = -18*x**2 - 3*x. Let m(s) be the first derivative of 2*s**3/3 - 569. Determine m(t(q)).
648*q**4 + 216*q**3 + 18*q**2
Let d(t) = -4*t + 3. Let b(f) = -2*f. Let h(n) = -2*n. Let g(w) = 3*b(w) - 2*h(w). Determine d(g(k)).
8*k + 3
Let r(b) be the third derivative of -b**5/30 + 243*b**2. Let p(x) = -24*x. Calculate p(r(i)).
48*i**2
Let p(b) = 3*b**2 + 6*b**2 + 3*b**2 - b**2 - 6*b**2. Let h(d) = -27*d. Calculate p(h(x)).
3645*x**2
Let a(f) = 9*f**2. Let v(w) = -29*w + 22. Give v(a(x)).
-261*x**2 + 22
Let f(y) = 12569*y. Let h(v) = 7*v**2. Calculate h(f(j)).
1105858327*j**2
Let a(m) = 31*m**2. Let y(j) = j**2 + 686. Give y(a(i)).
961*i**4 + 686
Let w(y) = -13*y**2. Let x(i) = -6*i**2 - 1. Let l(z) = -5*z**2 + 2. Let g(f) = l(f) + 2*x(f). What is g(w(j))?
-2873*j**4
Let r(m) = 11*m**2. Let t(g) be the second derivative of g**5/60 + g**3/3 + 12*g. Let x(w) be the second derivative of t(w). Give r(x(l)).
44*l**2
Let n(u) = 10*u**2. Let y(f) be the first derivative of -1/3*f**3 + 0*f + 0*f**2 - 13. What is y(n(s))?
-100*s**4
Let c(v) be the first derivative of -4*v**3/3 - 5. Let p(f) be the third derivative of 0*f - 1/15*f**5 + 0*f**4 + 0*f**3 + 3*f**2 + 0. Determine c(p(d)).
-64*d**4
Let m(y) be the first derivative of 129*y**2 - 127*y**2 + 3 + 7. Let p(z) = 2*z + 3 - 3. Determine m(p(i)).
8*i
Let m(p) = 119 + 66 - 5*p - 187. Let g(f) = -3*f. Let x(c) = -c**2 - c. Let k(y) = -g(y) + 3*x(y). Calculate m(k(u)).
15*u**2 - 2
Let d(x) be the third derivative of -x**4/8 + x**2. Let p(j) = 3*j**2 - 6*j + 12. Let n(y) = y - 2. Let u(l) = -6*n(l) - p(l). Calculate u(d(s)).
-27*s**2
Suppose -2*h = -5*i + 32 - 11, -5*i + 4*h + 27 = 0. Let l(c) = 1 - 3*c - 4 + i. Let g(o) = o**2 - o**2 + 2*o**2 - 3*o**2. What is g(l(q))?
-9*q**2
Let x(b) = -11*b**2. Let f(p) = 32*p - 3*p - 17*p - 4*p. Determine x(f(k)).
-704*k**2
Let q(p) be the third derivative of -p**7/630 - p**4/6 - 14*p**2. Let a(y) be the second derivative of q(y). Let m(b) = -b**2 + 0*b + 0*b. Give a(m(k)).
-4*k**4
Let j(q) be the second derivative of q**4/6 + 23*q + 5. Let r(g) = -2*g. Let p(x) = -x**2 - 3*x. Let v(s) = -2*p(s) + 3*r(s). Give j(v(u)).
8*u**4
Let p(d) = -2*d + 3*d - 3*d. Let c(z) be the third derivative of 0*z**3 + 0*z - 6*z**2 + 0*z**4 + 0 - 2/15*z**5. Calculate p(c(j)).
16*j**2
Let w(f) = 11411*f**2 - 11418*f**2 + 0 + 0. Let h(s) = -2*s. Calculate w(h(y)).
-28*y**2
Let b(g) = 15*g. Let n(c) = 4*c + 33*c - 12*c + 8*c. Determine n(b(l)).
495*l
Let o(r) = -2*r - 27. Let p(w) = 3*w - 1. Determine o(p(n)).
-6*n - 25
Let y(m) = 34*m**2. Let f(r) be the second derivative of -r**3/2 - r + 10. Calculate y(f(n)).
306*n**2
Let s(j) = -3*j + 9. Let i(d) be the third derivative of -d**4/6 - 3*d**3/2 - 4*d**2. Let r(f) = f + 2. Let v(h) = -2*i(h) - 9*r(h). Calculate s(v(o)).
3*o + 9
Let i(g) = -8*g**2 - 18. Let u(d) = 7*d**2 + 15. Let n(w) = -5*i(w) - 6*u(w). Let s(c) be the second derivative of 8*c**3/3 + c. What is s(n(k))?
-32*k**2
Let i(v) = -5*v. Let f(b) = -4680 - 9*b + 4680. Determine f(i(d)).
45*d
Let t(c) = -63*c**2 + 1. Let j(q) = 0*q - 11*q + 8*q + 4*q + 15*q. What is t(j(g))?
-16128*g**2 + 1
Let n(s) = 10 + 2*s + 10 - 20. Let i(k) = -18*k**2. Determine n(i(o)).
-36*o**2
Let j(c) = c. Let d(s) = 406*s**2 - 11*s + 22. Let o(q) = 135*q**2 - 4*q + 8. Let x(l) = 4*d(l) - 11*o(l). Determine x(j(u)).
139*u**2
Let o(w) = 5*w. Let z(l) be the second derivative of l**4/3 - l - 12. Determine o(z(q)).
20*q**2
Let t(f) = 0*f**2 + 3*f**2 + 2*f**2. Let l(z) = -3*z**2 + 6*z**2 - 2*z**2. Calculate l(t(h)).
25*h**4
Let v(k) be the first derivative of -k**2/2 + 63. Let m(r) = 812*r. What is v(m(z))?
-812*z
Let k(q) = 12*q**2 + 29*q**2 - 2*q + 2*q - 56*q**2. Let z(u) = -39*u + 2. Determine k(z(c)).
-22815*c**2 + 2340*c - 60
Let t(v) = -4*v. Let c(l) = 29*l + 3. Let k(i) = 3. Let g(x) = -c(x) + k(x). Determine g(t(r)).
116*r
Let b(t) be the second derivative of -5*t**4/4 + 8*t - 6. Let u(d) = -12*d. What is u(b(x))?
180*x**2
Let d(h) = 40 + 48 + 9*h - 88. Let a(q) = q. What is a(d(w))?
9*w
Let r(i) = 4*i**2. Let a(u) be the first derivative of -52*u**3/3 - 29. Give r(a(w)).
10816*w**4
Let s(z) = -4*z**2. Let w(r) = r + 2. Suppose g + 2*b = -1 - 1, -5*b = 20. Let y(d) = -d - 1. Let o(m) = g*y(m) + 3*w(m). What is o(s(n))?
12*n**2
Let r(b) be the third derivative of b**7/2520 - 4*b**4/3 - 17*b**2. Let p(t) be the second derivative of r(t). Let o(j) = j - 8. Give o(p(v)).
v**2 - 8
Let s(p) = -15*p**2 - 11522. Let j(b) = 4*b**2. What is s(j(w))?
-240*w**4 - 11522
Let b(r) = -25*r - 14 + 2*r + 5 + 9. Let h(w) = -6*w**2. Calculate h(b(x)).
-3174*x**2
Let q(b) = 2*b**2. Let a(v) = 11*v**2 + 6*v + 12. Let l(s) = 2*s**2 + s + 2. Let j(u) = -a(u) + 6*l(u). What is j(q(t))?
4*t**4
Let c(b) = 3*b - 20*b + 58 - 109 + 53. Let u(r) = 8*r. Calculate u(c(v)).
-136*v + 16
Let o(n) = n**2. Let i = 1 + 14. Let f(c) = -5*c - 8*c - 7*c + i*c. Determine f(o(q)).
-5*q**2
Let s(w) = 5*w - 5*w - 2*w. Let v(u) be the first derivative of u**3/6 - 5*u - 6. Let y(o) be the first derivative of v(o). Determine y(s(x)).
-2*x
Let i(v) = -v. Let o(w) be the second derivative of w**4/3 - w**3/3 - 2*w - 54. Give o(i(j)).
4*j**2 + 2*j
Let k(s) = 127*s + 2. Let u(i) = 145*i. Calculate k(u(l)).
18415*l + 2
Let r = -20 - -7. Let o = r - -15. Let x(n) = n**o - 6*n**2 + 10*n**2. Let u(q) = 2*q. Give x(u(g)).
20*g**2
Suppose 4*m = z + 53, -2*m + 43 + 1 = -4*z. Let o be (-2)/(m/(-9) - -1). Let y(u) = 5*u - o*u - 2*u. Let a(i) = -2*i**2. Give a(y(g)).
-18*g**2
Let a(w) = -3*w. Let q(s) = s + 15. Let y(o) = -o**3 + 6*o**2 - 2*o + 1. Let t be y(6). Let d be q(t). Let f(g) = 2*g + 4*g - d*g + 0*g. Determine f(a(m)).
-6*m
Let j(g) = -18*g + 5. Let x(f) = -4. Let d(m) = 11. Let r(q) = 3*d(q) + 8*x(q). Let t(u) = -j(u) + 6*r(u). Let b(v) = 2*v**2. Calculate t(b(s)).
36*s**2 + 1
Suppose 3*g - 57 = 3*m, -4*g - 4*m + 21 = -79. Let p(x) = 15*x + 8*x - 5 - 1 - g*x. Let v(d) = d. Give p(v(t)).
t - 6
Let l(z) = -2*z**2 + 5*z**2 - 2*z**2. Let v(o) be the second derivative of o**5/30 - 9*o**2 + o - 26. Let t(c) be the first derivative of v(c). Give l(t(y)).
4*y**4
Let t(b) = 21*b**2 + 2. Let n(u) be the first derivative of 5*u**3/3 - 76. What is n(t(o))?
2205*o**4 + 420*o**2 + 20
Let l be 228/15 + 1/(-5). Let s(d) = -9*d**2 - 7*d**2 + l*d**2. Let z(h) = -5*h**2. What is z(s(r))?
-5*r**4
Let l(j) = 16*j**2. Let t(c) = -9*c**2 + 2*c**2 + 4*c**2. Give t(l(i)).
-768*i**4
Let y(c) = -9*c. Let b(t) = t**3 - t. Let p be b(-1). Suppose p = v - 23 + 21. Let s(h) = h**2 + 0*h**v - h**2 + h**2. Give y(s(k)).
-9*k**2
Let p(t) = -186*t - 1. Let i(m) = 6*m - 14. Give p(i(f)).
-1116*f + 2603
Let c(f) = -13 + 13 - 4*f**2 + 0. Let v(h) = -46*h**2 - h. What is v(c(z))?
-736*z**4 + 4*z**2
Let n(z) be the second derivative of 48*z + 0*z**2 + 0 + 4/3*z**3. Let v(p) be the third derivative of -p**4/24 + p**2. Give v(n(k)).
-8*k
Let r(m) = 101*m. Let a(x) be the first derivative of x**3/3 - 514. Determine r(a(y)).
101*y**2
Let y(f) = -5*f. Suppose 0 = 4*d + c - 21, -5*c = -d - 0*c + 21. Let l(o) = d*o - 14*o + 3*o + 7*o. Calculate l(y(i)).
-10*i
Let l(z) = -19*z**2 - 9. Let c(n) = -9*n**2 - 4. Let m(k) = 9*c(k) - 4*l(k). Let u(g) = -30*g**2. Calculate u(m(q)).
-750*q**4
Let m(p) be the third derivative of p**4/12 - 224*p**2. Let b(h) = 49 | {
"pile_set_name": "DM Mathematics"
} |
a
Which is the closest to 0? (a) -417 (b) -111 (c) -7/12
c
Which is the nearest to 1? (a) 2.95 (b) 4/19 (c) 6 (d) 13 (e) 2/13
b
What is the nearest to 2/3 in -1/9, 3388, 0.1, -3/4, 1.3?
0.1
What is the closest to 0 in -163, -2229, -2/15?
-2/15
Which is the closest to -1/18? (a) 1/13 (b) 0.5 (c) 1/6 (d) -10/31 (e) -0.5 (f) -3
a
Which is the nearest to 23? (a) -2/17 (b) 1/4 (c) -1 (d) 16 (e) -35
d
What is the nearest to -3 in 0, -2, 1/26, -0.2?
-2
What is the closest to -91 in 3, 1.82, 2/205?
2/205
Which is the nearest to -3/2? (a) 1/3 (b) 18 (c) 3 (d) 3670
a
What is the closest to 1 in 4/5, -23/3, 0.049, 1, -5?
1
What is the nearest to -603 in -1.3, -2, -0.4?
-2
What is the nearest to 59 in 0.5, -5/3, 7/16, -2/7, -0.5?
0.5
What is the closest to 1/4 in -2, 2, 111915, -0.5?
-0.5
Which is the closest to 2/3? (a) -0.3 (b) -0.2 (c) -3.0366 (d) -3.3
b
What is the nearest to 80.6 in -3, -2/7, -336, -0.1, 0.3?
0.3
What is the closest to -3 in -0.5, -22198, -19?
-0.5
What is the nearest to 0 in -3/2, 0.06, 0.1, 0.4, -5/3252, -1?
-5/3252
Which is the closest to -85? (a) -4 (b) -3/5 (c) -0.0036 (d) 0.1 (e) -2
a
Which is the closest to -5? (a) -14598 (b) -4 (c) 11
b
What is the nearest to 3/4 in 187403, -6/35, 4?
-6/35
Which is the closest to 21? (a) 109/25 (b) -0.5 (c) 1/8 (d) 0.3
a
What is the closest to 2.5 in 1/5, 31.5, -140, 4/7?
4/7
What is the nearest to 0 in 3, 4/3, 24, 227/43?
4/3
Which is the nearest to 1/3? (a) 1 (b) -2/169 (c) 34 (d) -0.04
b
What is the nearest to -151 in 4, 0.3, 0.6, -6, 7?
-6
Which is the nearest to -0.1? (a) -11 (b) 0.6 (c) -94.76
b
Which is the closest to -826? (a) -2/33 (b) 0.56 (c) -5 (d) 0.1 (e) 0.03
c
Which is the nearest to 20.6? (a) 4 (b) -1946 (c) 55 (d) 2
a
What is the closest to 1/35 in 0.2, -5, 1131168?
0.2
Which is the closest to 0.1? (a) 35 (b) 1 (c) -800
b
What is the closest to 1 in -3/5, -1/10, 5/121, -3.89, 0.06?
0.06
Which is the nearest to -2/3? (a) 19 (b) 1 (c) 1/6 (d) -0.01 (e) -3 (f) 743
d
What is the closest to -1 in -2, 13/17, 5, -102.2, -2/3?
-2/3
Which is the nearest to 0.2? (a) 4/6715 (b) -412 (c) -2
a
Which is the nearest to 7.8? (a) 3 (b) -15 (c) 0.3 (d) -1 (e) -352
a
What is the nearest to -0.06 in 3, -0.5, 142143?
-0.5
Which is the closest to 2.96? (a) 9 (b) -3 (c) -2/9 (d) 1 (e) 2
e
Which is the closest to 1/2? (a) -2 (b) 25 (c) -2/17 (d) -5 (e) 0.01 (f) -591
e
Which is the closest to 79? (a) 0.4 (b) -37 (c) -7 (d) -3/4
a
What is the closest to -1 in -2/7, 5, 1.859, 3/10, -2/11?
-2/7
What is the nearest to 5 in 5, -143, 40, -8?
5
What is the nearest to 0 in 3, 4, -6/229, 25/3?
-6/229
What is the nearest to 12/5 in 2, 69.92, 29, 2/11?
2
Which is the closest to -58? (a) 49/5 (b) 108 (c) 22 (d) 2
d
What is the closest to -1/14 in 129, 3, -1771/2, 0, 2?
0
What is the nearest to 16 in 3/4, 0.4, -206, 1/3, 30?
30
What is the nearest to -4 in -9911/2, -1/2, -0.2, 2/3?
-1/2
Which is the nearest to 1/3? (a) -5/4 (b) -5 (c) -7/58 (d) 1 (e) 5 (f) 1.2
c
Which is the closest to -8989? (a) -2/7 (b) -5 (c) 3
b
What is the closest to 20 in 6.4, -3/4, -8, 3?
6.4
Which is the nearest to 5/19? (a) -4 (b) 93 (c) 1/15
c
What is the closest to 2/5 in -3/2, 133, 2/37, -14?
2/37
Which is the closest to -29.366? (a) -2/11 (b) 0.18 (c) -23 (d) 5
c
What is the nearest to -20/61 in -528, 0, 1/8, -5, 10?
0
Which is the nearest to -34062/11? (a) -0.3 (b) 2 (c) -0.17
a
Which is the nearest to -0.2? (a) 1902 (b) 1 (c) -19
b
Which is the nearest to 15? (a) 9 (b) 2 (c) 6 (d) 1/2 (e) 0.23 (f) 0.1
a
What is the nearest to 2/55 in 511, 0.07, -0.89?
0.07
What is the closest to 0 in -0.2, -1, -306/11, -1/101, 5, 1/9?
-1/101
Which is the closest to 4.3? (a) 8/19 (b) 2/7 (c) -2/5 (d) -7
a
Which is the closest to 2? (a) 2/9 (b) -1/45 (c) 1418.26
a
Which is the nearest to 417087? (a) 3 (b) 2 (c) -2/43 (d) 3/2
a
Which is the nearest to 1? (a) -4 (b) -1.5 (c) 1445 (d) 9/8 (e) -14
d
Which is the nearest to 1? (a) -10/9 (b) -571 (c) 0.2 (d) 0.9
d
What is the nearest to -1/10 in 4, -1/48, -0.04, 75, 6?
-0.04
What is the closest to -1/3 in -0.6, -2943/2, -4, -392/3?
-0.6
What is the nearest to -0.01191 in -0.6, -5/3, 1/3, -1/379?
-1/379
What is the nearest to 2/5 in -2/3613, 3, 0.06, -67, -1, 2/7?
2/7
What is the closest to -3/2 in -7, 18519, 0.4?
0.4
Which is the nearest to 4/9? (a) 2/13 (b) -29/5 (c) 0.1 (d) -2/403
a
Which is the nearest to -11? (a) -5 (b) 25 (c) -0.1 (d) 4/55 (e) -0.16
a
Which is the closest to -5? (a) 1/351 (b) -218 (c) -0.02
c
What is the closest to 13635 in -1, 13, 0.74?
13
Which is the nearest to -2? (a) -4/157 (b) 134357 (c) 1/2 (d) 5 (e) -2 (f) 2
e
Which is the closest to 0.2? (a) 38/417 (b) 4 (c) -6
a
What is the closest to 0.2 in 2, 588, -20, -3, 1?
1
What is the closest to -1 in 1/2, 0, -140, -35.6?
0
What is the closest to -1568 in -2, 0, -79.7?
-79.7
What is the nearest to 2/47 in 199, 5/7, 3/7?
3/7
What is the closest to 4359 in -0.588, 4, -1/7, 0, -0.5?
4
Which is the nearest to 1/7? (a) 0 (b) -118/9 (c) 3 (d) -2/7 (e) -0.4
a
Which is the nearest to 1/244? (a) -2/5 (b) -2/11 (c) 12.2 (d) -1 (e) 8
b
Which is the nearest to 1/208? (a) -0.3 (b) -4 (c) 3/4 (d) -2/619
d
Which is the closest to 0.08? (a) -0.196 (b) -30 (c) -4 (d) 0.3 (e) -3/2 (f) -7
d
Which is the closest to -3/8? (a) 1154 (b) -495 (c) 3 (d) -5
c
Which is the nearest to -0.05? (a) 3 (b) 2/77 (c) -0.0794 (d) 3/4
c
Which is the closest to 1? (a) 2.196 (b) -0.9 (c) -167 (d) 0.2 (e) 0 (f) -4
d
What is the nearest to 2/5 in -112, 5, 1, -2/23, 0.02467?
0.02467
Which is the closest to 8? (a) 0 (b) -5 (c) -2/5 (d) -172.73 (e) -2/3
a
What is the nearest to 7 in -65, 13, 2/7, 12?
12
What is the nearest to -0.5 in -2/19, -184, 0.004, 0?
-2/19
Which is the closest to -2/34443? (a) -3/11 (b) -0.2 (c) -2/3
b
Which is the closest to 0.04? (a) 1 (b) -243 (c) -4 (d) -0.0347 (e) 1/10
e
Which is the nearest to -0.2? (a) -0.21 (b) 1/2 (c) -12 (d) 20 (e) 4/3
a
Which is the nearest to 1.7614? (a) 3/2 (b) -0.5 (c) 1 (d) -1/3 (e) 3/8
a
What is the closest to -1 in -691644, 2/3, -0.1?
-0.1
What is the closest to 3247 in 0.5, -3, 331/6?
331/6
Which is the nearest to -2462? (a) 4 (b) -11 (c) 0.026 (d) -15/2
b
Which is the closest to -95373? (a) 1/22 (b) 0.4 (c) 0.1
a
What is the nearest to -2.4 in 4/503, 4, -2, 13, -0.5, -2/15?
-2
Which is the closest to -2/11? (a) 7.6162 (b) -0.03 (c) -4
b
Which is the nearest to 1/3? (a) -8 (b) 2207/4 (c) -1/2 (d) -4 (e) 0.4
e
Which is the nearest to -92? (a) 6 (b) 70 (c) 5 (d) -0.1 (e) -17
e
Which is the closest to 9/4? (a) -127/57 (b) -2/17 (c) 0.5
c
What is the nearest to 13009 in -0.5, 0, 4/13?
4/13
Which is the nearest to -8? (a) -1/4 (b) 1.89 (c) -0.5 (d) 1.5
c
What is the closest to -0.1 in 2, -2/11, -1, -21840, 11?
-2/11
What is the closest to -2/31 in -2/3, -6, -1131, -19?
-2/3
What is the closest to 1 in -157/16, 2, 6643?
2
What is the nearest to -1/2 in -0.21, 4/3, 5, 27, 0.688?
-0.21
Which is the closest to 1/18? (a) 12 (b) 0.4 (c) -37684
b
Which is the nearest to 58/3? (a) -3 (b) 0.4 (c) -71 (d) 0.09
b
What is the nearest to 2/5 in 0.2, -0.78, 6/187, 4?
0.2
Which is the nearest to 35438? (a) 1 (b) -3 (c) -60
a
What is the nearest to -41 in -4, -2, -0.3, 19, 3/7?
-4
What is the nearest to 2/3 in 2/27, -181850, 5/4?
5/4
What is the nearest to 6 in -214, 304, 0.5?
0.5
What is the nearest to -1 in 7, -39, 58314?
7
What is the closest to 0.1 in -51612, -4, 1, -2/9?
-2/9
Which is the nearest to 33? (a) 97 (b) -0.5 (c) 0.19 (d) -1
c
Which is the nearest to -1? (a) -83 (b) 2/29 (c) -2 (d) 2/61 (e) 0.5
c
What is the nearest to 918 in -3/577, -4, 4, 5?
5
Which is the closest to -1? (a) 1/7 (b) 3 (c) -1 (d) -14 (e) 3/20 (f) 2/39
c
What is the nearest to 10 in -9, 21, 3/10, 2/7, 2/9?
3/10
Which is the closest to 1/4? (a) -373140.17 (b) -3/5 (c) 0.5
c
What is the closest to -3/10 in 0, -7, 3/5, -3, 204?
0
What is the closest to -0.2 in 0.4, -2/5, -2541, -2, 2/13?
-2/5
What is the closest to -0.7 in 7045, 1/4, 13/3?
1/4
Which is the closest to 0.1212? (a) -2 (b) 1. | {
"pile_set_name": "DM Mathematics"
} |
d**2 - 251685*d = 0.
0, 3, 5593
Factor 3*d**3 + 252*d**2 + 5103*d + 9222.
3*(d + 2)*(d + 29)*(d + 53)
Solve 10*k**3 + 26666*k**2 + 42632*k - 21320 = 0.
-2665, -2, 2/5
What is c in 51*c**2 + 13667*c - 268 = 0?
-268, 1/51
Factor 2*q**4 + 220*q**3 + 2248*q**2 + 6980*q + 4950.
2*(q + 1)*(q + 5)**2*(q + 99)
Find a, given that -2*a**5 + 206*a**4 + 169826*a**3 - 170030*a**2 = 0.
-245, 0, 1, 347
Let -2*p**4/9 + 122*p**3/9 + 1904*p**2/3 - 488*p/9 - 22816/9 = 0. Calculate p.
-31, -2, 2, 92
Factor -2*x**5 + 15058*x**4 + 211106*x**3 + 739214*x**2.
-2*x**2*(x - 7543)*(x + 7)**2
Find l such that l**5/2 - 2501*l**4/2 - 2503*l**3 = 0.
-2, 0, 2503
Solve -m**3 + 723*m**2 - 91676*m = 0 for m.
0, 164, 559
Find b, given that 3*b**4/8 - 1141*b**3/8 + 42839*b**2/8 + 29449*b/8 - 7267/4 = 0.
-1, 1/3, 43, 338
What is a in a**4 + 9*a**3 - 1000*a**2 - 1008*a = 0?
-36, -1, 0, 28
Solve 3*y**5/5 - 558*y**4/5 + 2676*y**3/5 + 7038*y**2/5 + 3801*y/5 = 0.
-1, 0, 7, 181
Determine v, given that -v**5/4 + 11*v**4/2 + 181*v**3/4 - 161*v**2/2 - 294*v = 0.
-7, -2, 0, 3, 28
Suppose 3*y**2 - 183750*y + 183747 = 0. Calculate y.
1, 61249
Find w, given that -w**2/4 - 33*w/2 + 1027/4 = 0.
-79, 13
Suppose s**5 - 23*s**4 - 917*s**3 - 6153*s**2 - 15048*s - 12420 = 0. Calculate s.
-15, -3, -2, 46
Determine i, given that 2*i**4/3 - 1156*i**3/3 - 32226*i**2 - 597168*i + 1326312 = 0.
-39, 2, 654
Determine w so that 2*w**5/9 + 304*w**4/3 - 7388*w**3/9 + 1856*w**2 - 6*w - 2784 = 0.
-464, -1, 3
Find v such that -14*v**4 - 192*v**3 - 490*v**2 + 912*v - 216 = 0.
-9, -6, 2/7, 1
Find v, given that 2*v**2 - 52142*v + 52140 = 0.
1, 26070
Find k such that 3*k**5/5 - 354*k**4/5 + 2043*k**3 + 840*k**2 - 117348*k/5 - 164016/5 = 0.
-2, 4, 51, 67
Factor -a**3/3 + 50029*a**2/3 - 208583408*a + 208566732.
-(a - 25014)**2*(a - 1)/3
Determine z, given that 2*z**4 - 23882*z**3/7 - 75190*z**2/7 - 10254*z/7 = 0.
-3, -1/7, 0, 1709
Find i, given that -2*i**3/5 - 646*i**2/5 - 9902*i/5 - 23946/5 = 0.
-307, -13, -3
Determine u so that -3*u**3 - 2040*u**2 - 316476*u + 10526544 = 0.
-354, 28
Let i**4 - 424*i**3 + 2508*i**2 = 0. Calculate i.
0, 6, 418
Determine d, given that -2*d**2/5 + 1175508*d/5 - 172727382258/5 = 0.
293877
Let 2*h**2 - 3414*h - 212040 = 0. Calculate h.
-60, 1767
Factor -z**3/8 - 3*z**2/8 + 17*z/4 - 6.
-(z - 3)*(z - 2)*(z + 8)/8
Factor 2*s**2/5 + 164*s/5 + 666.
2*(s + 37)*(s + 45)/5
Solve -2*g**2 + 15476*g - 15474 = 0 for g.
1, 7737
What is v in 2*v**5/3 - 46*v**4/3 - 1142*v**3/3 + 46*v**2/3 + 380*v = 0?
-15, -1, 0, 1, 38
Factor -2*q**3/5 - 1408*q**2/5 - 2786*q - 6940.
-2*(q + 5)**2*(q + 694)/5
Factor 724*v**3 - 7972*v**2 + 21808*v - 240.
4*(v - 6)*(v - 5)*(181*v - 2)
Factor -2*o**2/13 + 2148*o/13 - 1312.
-2*(o - 1066)*(o - 8)/13
Factor b**5/7 + b**4/7 - 45*b**3/7 - 25*b**2/7 + 500*b/7.
b*(b - 5)*(b - 4)*(b + 5)**2/7
Determine y so that -4*y**3 - 30368*y**2 + 243136*y - 486400 = 0.
-7600, 4
Factor 40106*j**2/3 + 80308*j/3 + 64.
2*(j + 2)*(20053*j + 48)/3
Factor -2*b**3 - 372*b**2 - 3472*b + 8448.
-2*(b - 2)*(b + 12)*(b + 176)
Factor a**3/3 + 328*a**2/3 + 4445*a/3 + 15386/3.
(a + 7)**2*(a + 314)/3
Determine w, given that -5*w**2 - 113590*w - 645134405 = 0.
-11359
Suppose -2*r**3/7 + 638548*r**2/7 + 2*r/7 - 638548/7 = 0. What is r?
-1, 1, 319274
Determine m so that -m**3 - 4864*m**2 - 5919485*m - 11819522 = 0.
-2431, -2
Find x such that -44*x**4 + 1028*x**3 - 324*x**2 - 1028*x + 368 = 0.
-1, 4/11, 1, 23
Factor 2*k**4 - 2078*k**3 + 276654*k**2 - 13085450*k + 209885816.
2*(k - 892)*(k - 49)**3
Find s, given that -2*s**4/7 + 162*s**3/7 + 96*s**2 + 680*s/7 = 0.
-2, 0, 85
Determine b, given that -2*b**3 + 2476*b**2 + 745160*b + 50632400 = 0.
-130, 1498
Find i, given that -2*i**3 + 389774*i**2 + 389776*i = 0.
-1, 0, 194888
Let -3*g**5 + 501*g**4 - 5265*g**3 + 18387*g**2 - 21060*g = 0. Calculate g.
0, 3, 5, 156
Factor 3*w**3 - 8463*w**2 - 118923*w - 416745.
3*(w - 2835)*(w + 7)**2
Determine x so that x**5/11 + 29*x**4/11 + 112*x**3/11 - 1324*x**2/11 + 832*x/11 + 2240/11 = 0.
-20, -14, -1, 2, 4
Suppose -2*y**3 + 354*y**2 = 0. Calculate y.
0, 177
Factor -5*c**3 + 3340*c**2 - 157585*c + 154250.
-5*(c - 617)*(c - 50)*(c - 1)
Factor -2*p**3/5 + 25394*p**2/5 - 30462*p + 228438/5.
-2*(p - 12691)*(p - 3)**2/5
Solve v**3/3 + 3089*v**2 + 7142520*v - 64533132 = 0.
-4638, 9
Factor -y**3/5 + 10088*y**2/5 - 2017*y - 20174/5.
-(y - 10087)*(y - 2)*(y + 1)/5
Let 2*d**2/9 - 57898*d/9 = 0. Calculate d.
0, 28949
Suppose 3*t**4 + 795*t**3 + 2358*t**2 - 12*t - 3144 = 0. Calculate t.
-262, -2, 1
Solve -q**2 - 13*q - 36 = 0.
-9, -4
Let -5409828*b**2 - 3606558*b - 4 = 0. Calculate b.
-2/3, -1/901638
Suppose 72*g**5 - 115796*g**4 - 315572*g**3 - 296356*g**2 - 109540*g - 12888 = 0. Calculate g.
-1, -1/2, -2/9, 1611
Solve 5*t**5 - 8690*t**4 + 34680*t**3 = 0 for t.
0, 4, 1734
Factor -2*u**4 + 126*u**3 - 2352*u**2 + 13720*u.
-2*u*(u - 35)*(u - 14)**2
Factor s**4/5 - 417*s**3/5 - 418*s**2/5.
s**2*(s - 418)*(s + 1)/5
Factor z**2/4 - 26885*z/4.
z*(z - 26885)/4
Factor b**3/5 + 441*b**2/5 - 2682*b/5.
b*(b - 6)*(b + 447)/5
Suppose 3*t**4 + 606*t**3 - 21765*t**2 - 22368*t = 0. What is t?
-233, -1, 0, 32
Factor -4*j**3 + 804*j**2 - 34520*j - 35328.
-4*(j - 138)*(j - 64)*(j + 1)
Suppose 2*g**2/11 + 3434*g/11 + 17120/11 = 0. What is g?
-1712, -5
What is o in o**2 + 4378*o - 17528 = 0?
-4382, 4
Factor 2*o**2/5 + 2548*o/5 + 5088/5.
2*(o + 2)*(o + 1272)/5
Factor u**4/3 + 5908*u**3 - 11817*u**2 + 17726*u/3.
u*(u - 1)**2*(u + 17726)/3
Determine o, given that -4*o**3 + 3988*o**2 + 72756*o + 328860 = 0.
-9, 1015
Factor p**3 + 324*p**2 + 13595*p - 149328.
(p - 9)*(p + 61)*(p + 272)
Determine l, given that 2*l**3 + 19180*l**2 - 19186*l - 38364 = 0.
-9591, -1, 2
Suppose -3*a**5/4 - 207*a**4/4 + 1221*a**3/4 + 22707*a**2/4 - 88683*a/2 + 64386 = 0. Calculate a.
-73, -12, 2, 7
Let -2*x**3 + 86196*x**2 - 928718802*x = 0. What is x?
0, 21549
Factor 2*z**2 - 3630*z + 3628.
2*(z - 1814)*(z - 1)
Suppose -q**2 - 525*q - 1566 = 0. Calculate q.
-522, -3
Solve -z**2/3 + 31*z - 440/3 = 0.
5, 88
Suppose -3*r**4 + 798*r**3 + 77460*r**2 + 1500354*r - 5219505 = 0. Calculate r.
-41, 3, 345
Factor 2*f**2/7 - 5844*f/7 + 4269042/7.
2*(f - 1461)**2/7
Let -l**3 - 9077*l**2 - 18150*l = 0. Calculate l.
-9075, -2, 0
Determine a so that 12*a**3 + 51909*a**2 + 90798*a - 25944 = 0.
-4324, -2, 1/4
Suppose -5*m**3/4 + 4741*m**2/4 - 237*m = 0. Calculate m.
0, 1/5, 948
Suppose 89860418*y**4 - 269527630*y**3 + 179559972*y**2 + 107224*y + 16 = 0. What is y?
-2/6703, 1, 2
Suppose n**5 + 68*n**4 + 1384*n**3 + 6290*n**2 - 29609*n + 21866 = 0. Calculate n.
-29, -13, 1, 2
Factor 2*k**2/13 - 483380*k/13 + 483378/13.
2*(k - 241689)*(k - 1)/13
Solve 3*x**3/5 + 5697*x**2/5 - 184608*x/5 + 1483008/5 = 0.
-1931, 16
Determine k, given that 20*k**3 - 612108*k**2 + 244840*k = 0.
0, 2/5, 30605
Suppose -y**2/2 - 909*y = 0. Calculate y.
-1818, 0
Suppose -r**5/5 + 104*r**4/5 + 2683*r**3/5 + 11326*r**2/5 - 14112*r/5 = 0. Calculate r.
-16, -7, 0, 1, 126
What is g in 3*g**5 - 711*g**4 + 40803*g**3 + 127431*g**2 + 85914*g = 0?
-2, -1, 0, 111, 129
Find y such that -3*y**4/8 - 285*y**3/8 - 2481*y**2/8 + 5829*y/8 - 765/2 = 0.
-85, -12, 1
Factor -4*m**4/7 - 944*m**3/7 + 31020*m**2/7 - 34200*m.
-4*m*(m - 15)**2*(m + 266)/7
Factor 5*o**2 - 298010*o + 4440498005.
5*(o - 29801)**2
Factor 4*d**2/5 + 8428*d/5 - 33776/5.
4*(d - 4)*(d + 2111)/5
Factor o**4/3 + 175*o**3 + 11856*o**2 - 3212352*o.
o*(o - 99)*(o + 312)**2/3
Determine q, given that -q**3 - 3867*q**2 + 23229*q - 34857 = 0.
-3873, 3
Let -1610*u**5 - 5346*u**4 + 12926*u**3 - 3454*u**2 - 2436*u - 80 = 0. Calculate u.
-5, -2/7, -4/115, 1
Let 5*a**4/3 + 3746*a**3/3 + 23084*a**2/3 + 12634*a + 2229 = 0. Calculate a.
-743, -3, -1/5
Factor 98*r**3 + 53004*r**2 + 3699000*r - 1032750000.
2*(r - 102)*(7*r + 2250)**2
Factor 4*x**5 - 64*x**4 - 44*x**3 + 2904*x**2.
4*x**2*(x - 11)**2*(x + 6)
Find m, given that m**3/2 + 69*m**2 + 4451*m/2 - 2295 = 0.
-85, -54, 1
Factor 2*f**2/11 - 380*f/11 + 12432/11.
2*(f - 148)*(f - 42)/11
Find c such that -2*c**5/3 - 144244*c**4/3 + 2*c**3 + 432728*c**2/3 - 288488*c/3 = 0.
-72122, -2, 0, 1
Solve -3*d**2/5 - 222276*d/5 - 4117218348/5 = 0.
-37046
Suppose u**5/2 - 47*u**4/2 + 383*u**3/2 + 479*u**2/2 - 192*u - 216 = 0. Calculate u.
-1, 1, 12, 36
Factor | {
"pile_set_name": "DM Mathematics"
} |
(s) = s**2 - 6*s + 1. Suppose -4*q + 2*c + 32 = -0*c, -3*c = 2*q - 8. Determine y(q).
8
Suppose -2*c + 6*c + 4 = 0, 5*j - c = 16. Let z(r) = -4*r**2 + 5*r**2 + 3 + 3*r**2 - 8 + r**j. Let g(i) = -i**3 + 5*i**2 - 4. Let n be g(5). Give z(n).
-5
Let u(j) = -j**2 - 6*j - 1. Let r(q) = -q**2 + 3*q + 3. Let w be r(-2). Suppose a - 5*d + 6 = 15, 0 = 3*a - 4*d + 17. Let p = a - w. Give u(p).
7
Let l(y) = 20 + 91*y - 83*y + 12*y**2 - 13*y**2. Give l(9).
11
Let k(q) be the third derivative of q**6/120 + q**5/5 - q**4/12 - 7*q**3/3 - 7*q**2 + 4*q. Determine k(-12).
10
Let a(t) = -t**3 + 3. Let n be a(0). Let k(s) be the second derivative of -s**4/24 - 4*s**2 + 12*s. Let p(g) be the first derivative of k(g). Determine p(n).
-3
Let x(r) = r + 16. Suppose -w + 8*i = 9*i + 5, -4*i + 34 = -2*w. Determine x(w).
7
Let v = 6 + -21. Let l = v - -10. Let x(s) be the second derivative of s**4/12 + s**3 + 2*s. What is x(l)?
-5
Let x(v) = v**2 + 3*v - 6. Let n be x(-5). Let b = -3 + n. Suppose 0 = 4*f - 3*f + b. Let k(p) = 10*p**3 + p. Calculate k(f).
-11
Let n(r) = 8*r**2 + 3 - 4*r**2 + r**2 + 6*r - 4*r**2. Suppose 12*u + 2*u = -56. Determine n(u).
-5
Let y(t) be the first derivative of t**5/20 + t**4/8 + 11*t**2/2 + 3. Let n(j) be the second derivative of y(j). Determine n(-2).
6
Let y be 8/(-6)*(-15)/5 + 5. Let m(b) = -4*b + 8. Give m(y).
-28
Suppose 2*p + 4*g = -g + 26, -p - 3*g = -14. Let v(c) = 2*c + 3*c - 11 + p. Determine v(-3).
-18
Suppose -2*o + 276 = 4*x + 282, 0 = 2*o + 2*x + 8. Let h(a) = -4*a**2 - 6*a + 2 + 3 + 3*a**2. What is h(o)?
10
Let r = 184 - 187. Let n(q) be the third derivative of q**6/120 + q**5/20 + q**4/24 + 8*q**2. What is n(r)?
-3
Let m(w) = -w + 3. Let z(h) = h**3 - 16*h**2 - 2*h - 4. Let l be z(16). Let s be (-420)/(-54) + (-8)/l. Suppose 4*j - p + s = 23, 12 = -j - 5*p. What is m(j)?
0
Let b = 954 + -952. Let x(v) = -9*v**3 + 11*v**2 - 6*v - 3. Let r(d) = 5*d**3 - 6*d**2 + 3*d + 2. Let q(f) = -7*r(f) - 4*x(f). Give q(b).
4
Let b = -2 - 5. Let o(r) = -1 - 3 + 4 - 7 + 2 + r. Give o(b).
-12
Let d(w) be the first derivative of -10*w**3/3 - w**2 + 2*w + 628. Give d(-2).
-34
Let h(b) be the first derivative of 5*b**3/3 + 3*b**2/2 - 3*b + 6. Let s be h(1). Let q(d) = d**3 - 5*d**2 + d. Calculate q(s).
5
Let s(a) be the third derivative of 1/6*a**3 - 7/24*a**4 + 36*a**2 + 0*a + 0 + 1/60*a**5. Determine s(6).
-5
Let m(p) = -p**2 + 8*p - 11. Let z be m(4). Let v(b) = 4 - 1 + z*b + 0 - b. Calculate v(-3).
-9
Let i(u) = 32*u - 4. Let w(v) = 7*v - 1. Let d(x) = 2*i(x) - 9*w(x). Suppose -j = 3*j - 8. What is d(j)?
3
Let s(a) = a**3 - 8*a**2 - 7*a + 19. Let o be s(9). Let l(i) = -6 + 16*i - o*i + 20*i. Give l(-7).
1
Let k(p) = -4*p - 29. Let t be k(-10). Let v(m) = 3*m**3 - 2*m - 3. Let q(l) = 16*l**3 - 9*l - 16. Let h(f) = t*v(f) - 2*q(f). What is h(3)?
14
Let m(c) = -1 + 51*c - 23*c - 27*c. Let i(g) = -10*g + 10. Let k(j) = -2*i(j) - 22*m(j). What is k(-4)?
10
Suppose 2*l = 5*v - 248, -7*v = -3*l - 3*v - 358. Let p = l - -118. Let k(c) = -c**3 + 5*c**2 - 5*c + 2. Calculate k(p).
-2
Let a(b) = b**2 - 10*b - 20. Suppose -4*x - 3*z + 7 + 29 = 0, 4*z = 5*x - 76. What is a(x)?
4
Let w(d) = 3*d**2 + 1 + 0*d**2 + d + 15*d**2 - 3*d**2. Determine w(-1).
15
Let d(a) = -a + 3*a + 46 - 46. Calculate d(-5).
-10
Let q = 13 + -7. Let n(s) = -20*s + 51. Let r(z) = -7*z + 17. Let o(p) = q*n(p) - 17*r(p). Let i be o(15). Let c(y) = 2*y + 2. Calculate c(i).
6
Suppose 0*m + m - 14 = -5*n, -2*n - 21 = -m. Let k = -12 + m. Suppose -5 = -2*z + k*z. Let r(y) = 4*y**3 - 2*y**2 - y. Calculate r(z).
-5
Let t(q) be the first derivative of -q**2/2 - 16*q + 221. Give t(-7).
-9
Let j be (-1 + -1)*39/6. Let m(t) = -t**2 - 14*t - 9. Let i be m(j). Suppose 6 = -a + i*a. Let l(z) = z**3 - 3*z**2 + 4*z - 3. Give l(a).
1
Let k(t) = 4*t + 3. Let u(j) = 5*j + 3. Let m(h) = -4*k(h) + 3*u(h). Determine m(-6).
3
Let z(n) be the third derivative of -n**4/24 - n**3/3 - 17*n**2. Give z(10).
-12
Let t(v) = v**2 - v - 7. Suppose 2*b = -4*g + 28, 4*g - 4*b - 10 - 6 = 0. Give t(g).
23
Let x(u) = 37*u - 1 - 16*u - 20*u - 1. Let k(m) = -m**2 - 4*m + 3. Let f be k(-4). Give x(f).
1
Let i(g) be the third derivative of 2*g**5/15 - g**4/24 + g**3/6 - 292*g**2 - 2. Give i(2).
31
Let b be 5 + (-2)/(-4)*-2. Suppose -2*h = -4*r - 14, 3*h + h + 4*r - b = 0. Let x(a) = 0*a + a**3 + 4 + 4*a**2 - 2*a + a**h - 3*a**3. Calculate x(4).
-4
Let z(m) = -m**2 - 4*m + 136. Let l be z(-14). Let x(o) be the third derivative of -o**5/60 - o**4/24 + 2*o**3/3 - o**2. Give x(l).
-8
Suppose 8 = -d + 10. Let x(s) = 9*s - 27*s**d + 26*s**2 - 8*s. Give x(4).
-12
Let s(m) = -m + 8. Let h be s(6). Suppose h*v - 5*v = -45. Suppose 10 = 2*t + 3*x, -3*t - x + v = x. Let p(g) = -g**3 + 6*g**2 - 6*g + 6. What is p(t)?
1
Let x(c) be the first derivative of -c**4/4 + 3*c**3 + 4*c**2 + 5*c - 475. What is x(10)?
-15
Let p(x) = 3*x. Suppose o = 4*s + 9, -26*s = -2*o - 24*s. Determine p(o).
-9
Suppose 0 = 3*m - 5*m + 3*s - 29, -5*m - 4*s - 84 = 0. Let n = 13 + m. Let l(u) = u - 1. Calculate l(n).
-4
Let r(d) = -d**3 - d - 7. Suppose -3 = -5*a - 2*c + 17, -4*a = -2*c - 16. Let g(z) = z - 7. Let i be g(a). Let x be 0/((6 + i)/3). Give r(x).
-7
Let o be (5 - 2) + (3 - 3) + -3. Let w(d) be the second derivative of d**5/20 - d**2 - d. Determine w(o).
-2
Let x(v) = -8215*v + 2 - 8216*v + 16432*v - 1. Let j(c) = -5*c + 1. Let q be j(-1). What is x(q)?
7
Let p(g) = -g**3 + 3*g**2 + 10*g - 6. Let l be p(4). Let f(c) = -c - l*c - 1 - 5*c + 5*c. Determine f(1).
-20
Let h(j) = j**2 - 13*j + 21. Let s be h(2). Let l(u) = 54*u**3 - u**2 - u - 1. Calculate l(s).
-55
Let l(m) = 2 + 8 - 3*m + 8*m - 2*m - 2*m. Calculate l(-7).
3
Let l(w) be the third derivative of 0 - 1/60*w**5 + 0*w - 4/3*w**3 - 1/3*w**4 - 12*w**2. Suppose -3*f = -0*f + 21. What is l(f)?
-1
Let o(s) = 5 + s**2 - 165*s + 169*s - 7 + 2*s**2 - 2*s**2. Give o(-4).
-2
Let s(v) = v**3 - 7*v**2 + v**2 + 12 - 6*v**2 - 13. Give s(12).
-1
Let g be 7/(-21) + (-4)/(-12) + 6. Suppose -w + 20 = 3*s, 2*w = -3*s + 9 + 10. Let k(u) = -s*u + 3*u**2 - 2*u**2 - 5 + 2*u. Calculate k(g).
1
Let o(m) = m**2 + 14*m - 7. Let f = 107 + -122. Let k be o(f). Let b(p) = -p**2 + 8*p - 4. What is b(k)?
-4
Suppose 13*s - 59 = -20. Let n(z) = z - 3. Calculate n(s).
0
Let o(c) be the first derivative of c**3/3 - 5*c**2 + 11*c + 1. Calculate o(10).
11
Let b(r) = r**2 + r - 2. Let n be ((-15)/6)/(-5)*30. Let q be (6/(-7))/(3/(-42)). Let i = n - q. Determine b(i).
10
Let i(g) = g - 2. Let v = -44 - -49. Suppose 5*w - 56 = v*z - 11, -33 = -5*w + z. Calculate i(w).
4
Let p(n) = -2*n**2 - 2*n + 1. Let h be p(1). Let y be (-15)/6*(-16)/20. Let o(q) = 27*q - 16*q + q**y - 12*q. Calculate o(h).
12
Suppose 0 = -28*p - 40 + 180. Let c(b) = b**3 - 5*b**2 - 9. Let s(f) = 3*f**3 - 15*f**2 - 28. Let t(m) = -7*c(m) + 2*s(m). What is t(p)?
7
Let v(k) = -5*k**3 - k. Let p be (2 - 96/(-45)) + 2/(-15). Suppose -3*n - p*i = 15, -n + 0*i - 16 = 5*i. Give v(n).
6
Let j(z) = -4*z**2 - z**2 - 25*z + 7*z**2 + 29*z. Give j(-2).
0
Let d be -4 + (-5)/((-5)/9). Let j(p) = -6*p**3 + 5*p**2 + 3*p. Let i(x) = -7*x**3 + 5*x**2 + 4*x + 1. Let h(g) = -5*i(g) + 6*j(g). What is h(d)?
-15
Let b(k) = k + 1. Let w(o) = -2*o - 1. Let i(s) = 5*b(s) + 6*w(s). Let c(n) = 3*n. Let a(q) = 15*c(q) + 6*i(q). Let m be (-30)/(-5) - (5 - 3). Give a(m).
6
Let r(w) = 3*w**2 - 2*w. Let z(y) be the second derivative of -5*y**4/12 - y**3/3 + y**2/2 + 5*y. Let p be z(1). Let m be 5 - (-5)/(10/p). Determine r(m).
8
Let j(f) = 4*f - 3*f + 2*f - 3 + 6. Let o(c) = -c - 1. Let n(t) = -j(t) - 6*o(t). Let r = 0 - 2. Give n(r).
-3
Let l(t) = 0 + 9 - 2*t - 4*t**2 + t**2 + 0 + t**3. Determine l(4).
17
Let p(y) = -y**3 - 4*y**2 - 77*y - 308. Let q be p(-4). Let m(j) = 5*j**2 + 7*j - 5. Let u(a) = 6*a**2 + 8*a - 4. Let c(t) = 7*m(t) - 6*u(t). Calculate c(q).
-11
Let w = -10 + 9. Let z be (4 - (2 + w))/((-24)/16). Let o(t) = t**3 + t**2 + 2*t + 2. Determine o(z).
-6
Let t(n) = n + 2*n + 14 + 44. Let v be t(-18). Let y(s) be the first derivative of -s**4/4 + 5*s**3/3 - 3*s**2/2 + s - 1. Calculate y(v).
5
Let o(r) = -42*r - 9. Let b(l) = -79*l - 17. Let a(h) = 6*b(h) - 11*o(h). Calculate a(-2).
21
Let z(p) be the third derivative of -p**6/120 + p**5/12 - p**4/8 + 2*p**3/3 + 8*p**2 - 2. Let s( | {
"pile_set_name": "DM Mathematics"
} |
.
383*d**4
Expand (r**2 + 0*r**2 + 2*r**2)*(-r**2 + r**2 - 2*r**3) + (r**4 - 2*r**4 + 2*r**4)*(-2*r + 0 + 0) - 11*r**4 + 11*r**4 + 5*r**5.
-3*r**5
Expand (x**3 - x**3 + x**4)*(-2*x - 3*x - 7*x) + 10*x**5 + x**2 - 9*x**5 + 2*x - 2*x**2.
-11*x**5 - x**2 + 2*x
Expand (2 + 1 - 1)*(-7 - 1 - 32)*(-5*i + 3*i + 3*i).
-80*i
Expand 4*v**4 + v**4 + 0*v**4 + (0*v + 2*v**3 + 0*v)*(-1 + 1 - 3*v) + (-v + 2*v**3 + v)*(9*v - 2*v + 2*v).
17*v**4
Expand y**2 - y**2 + 12*y**3 + y**3 + 0*y**3 + y**3 + (-3*y + 1 - 1)*(-2*y**2 - y**2 + 2*y**2) + (3*y**2 + 6 - 6)*(-2 + 2 - 2*y) + 3 - 3 - 2*y**3.
9*y**3
Expand (-9*a**4 + 22*a**2 - 22*a**2)*(a + 0*a - 2*a).
9*a**5
Expand (2*q**3 + 74*q - 27*q + 221*q)*(0 - 1 - 1)*(2 + 1 - 2).
-4*q**3 - 536*q
Expand (6*u - 6*u + 4*u)*(-3*u - 4*u + 2*u) + 4*u**2 - 5*u**2 - u**2.
-22*u**2
Expand (-2 - 627*w + 5 + 280*w)*(-2*w**2 + 0*w**2 - w**2).
1041*w**3 - 9*w**2
Expand (0 - 2*k - 4 - 3)*(-7 + 15 - 2).
-12*k - 42
Expand (7 + 1 - 1)*(-c**5 - 9*c**5 - c**5).
-77*c**5
Expand (-f - 2 + 2)*(0*f**2 - 5*f**2 - f**2)*(2 + 2 + 1).
30*f**3
Expand (2*d**2 + d**2 - 2*d**2)*(-2552 + 1273 + 105*d**2 + 1278).
105*d**4 - d**2
Expand (-19*x - 46*x + 7*x)*((2 - 4 - 1)*(1 - 1 - 2) + 0 + 4 - 5)*(0*x + 0*x + x).
-290*x**2
Expand (-s + s + 2*s**2)*(s**3 + s**3 + 0*s**3) + 47*s**5 - 16*s**5 + 11*s**5.
46*s**5
Expand (-1 + 4 - 2 - 3 + 3 - 2 + (3 - 2 - 2)*(3 + 1 - 2))*(-2666*d**2 - 2688*d**2 + 2 + 5399*d**2 + d).
-135*d**2 - 3*d - 6
Expand (1 + 1 - 1)*(0 + 3 - 1)*(-12*x + 16*x + 5*x)*(1 - 2 - 1).
-36*x
Expand (2 - 1 + 0)*(-k - 1002 + 1002)*(3*k**2 + 0*k**2 - 2*k**2).
-k**3
Expand (-r + r + r)*(-9*r**2 - 18*r**2 + r**2) - 4*r + 4*r - 3*r**3 + r - r - 2*r**3.
-31*r**3
Expand -3*m + 3*m + m**2 + (2*m + 3 - 3)*(-7276 + 7276 - 200*m).
-399*m**2
Expand 3*u**4 - 8*u**4 - 9*u**4 + (-2*u - 2*u**2 + 2*u)*(-u**2 + 4*u**2 - u**2) - 3*u**4 + 5*u**4 - 3*u**4 - u**4 + 7*u**4 + u**4.
-12*u**4
Expand -116*g**4 + 3571*g - 3571*g + (0*g**2 + g**3 + 0*g**2)*(3*g - 7*g + 3*g) + 3*g**3 - 6*g**4 - 3*g**3.
-123*g**4
Expand p**5 + 4*p - 4*p + (-3 + 3 + p**2)*(14*p**3 - 52*p**3 - 8*p**3).
-45*p**5
Expand (3 + 3 - 5)*(47 - 29 + 13)*(0*r + 4*r - 3*r) + (-3 + 0 - 3)*(-3 + 3 - r) - 2 - r + 2.
36*r
Expand (-2*n**3 + n**4 + 2*n**3)*(-3*n + 4*n - 3*n) + 70*n**5 + 363*n**5 - 125*n**5.
306*n**5
Expand (o**3 + 3*o**3 - 2*o**3)*(-2*o**2 + 3*o**2 + o**2)*((2 + 1 - 2)*(-1 - 3 + 2) - 2 + 4 + 1 + 2 + 17 - 6).
56*o**5
Expand (0 - l + 0)*(3*l + 2*l - 3*l)*(-4 + 2 - 1) - 4 - 11*l**2 + 4.
-5*l**2
Expand 8 - 20 + 10 + s**2 + (1 + 4 - 2)*(1 - s**2 - 1) + s**2 - 5*s**2 + 2*s**2.
-4*s**2 - 2
Expand (18365 - 62*v - 18365)*(8*v**2 - 15*v**2 + 13*v**2 - 2*v + 1).
-372*v**3 + 124*v**2 - 62*v
Expand (-2*u - 2*u + 0*u)*(-3*u**2 + 3*u**2 - 3*u**2) + (-4 + 2 - 4)*(2*u**2 + 2*u**2 - 3*u**2)*(0*u + 3*u - 4*u) - 2*u**3 + 2*u**3 - 2*u**3.
16*u**3
Expand (0*h**2 + 0*h**2 + 2*h**4)*(-109 - 54 + 5).
-316*h**4
Expand 0*y - 2*y + 3*y - 4*y - 4*y + 2*y + 0*y + 2*y - 3*y + (-3*y - y + 2*y)*(-1 + 3 + 0) + 4*y - 3*y + y + 3 - y - 3.
-9*y
Expand (4*f**3 + 2*f**5 - 4*f**3)*(-2 + 0 + 1) + 5 + 3*f**5 - 5 + (-3 + 5 - 5)*(2*f**5 - 4*f**5 + f**5).
4*f**5
Expand (-2*v + 0*v + 4*v + (-2 - 6 + 5)*(3 - 3 - v) + 3*v - 2*v + 2*v)*(-3 + 1 - 2).
-32*v
Expand (-152 - 378 + 248)*(-3*w - 2*w + 0*w)*(2*w**2 - 5*w**2 + 2*w**2).
-1410*w**3
Expand -10*x**3 + 15*x**3 + 6*x**3 + (-x**2 - x**2 - 3*x**2)*(1 + 1 - 2*x - 5).
21*x**3 + 15*x**2
Expand (3*d - 3*d + d)*(0*d**2 - d**2 + 3*d**2) + (351 - 351 + 27*d)*(-2*d + 2*d - d**2).
-25*d**3
Expand (13333*h - 8*h**2 - 13333*h - 26)*(-2*h - 2*h + 6*h)*((4 - 1 - 4)*(0 + 2 + 0) + 2 - 4 + 0).
64*h**3 + 208*h
Expand (-9*c**2 + 2*c**2 - 2*c**2)*(0*c**2 - c - 16*c**2 + 2*c**2).
126*c**4 + 9*c**3
Expand 2*w**4 - w**4 + w**4 + (-2 + 2 - 2*w)*(4*w**3 - 3*w**3 - 3*w**3) + 4*w**4 - 6*w**4 + 4*w**4 + w**4 + 2*w**4 - 2*w**4 - 2614*w**3 + 2614*w**3 - w**4.
8*w**4
Expand (-j**2 + 0 + 0)*(-2*j + 2*j - 2*j) + (-j**2 + j**2 + 5*j**2)*(14265 + 125*j - 14265).
627*j**3
Expand (5 - 4 - 2)*(2*b - 2*b + 2*b) - 2*b + b + 0*b + b + 0*b - 2*b + (0 - 2 + 1)*(5 - 5 + b) + 48*b - 7 + 7.
43*b
Expand (2*d - 3*d - d)*(-4*d + 2*d + d) - 2*d - 179*d**2 + 96*d**2 + 6 + 96*d**2.
15*d**2 - 2*d + 6
Expand (-166 + 38 + 71)*(0*a + 3*a - a) - a + a - 2*a + 1.
-116*a + 1
Expand (2*b**2 - 3*b**2 + 3*b**2)*(-20*b**2 + 9*b**2 - 11*b**2)*(-2*b + 2*b - b).
44*b**5
Expand (m + 0 - 2 - 4)*(-2*m**3 - m**3 + m**3).
-2*m**4 + 12*m**3
Expand 123*j - 9 - 250*j + 125*j - 6*j + 4*j + 0*j + 4*j - 4*j + 2*j + (-5*j + 3*j + 0*j)*(2 + 0 - 3) + 4*j - j - j + (-2*j + 8*j - 2*j)*(-1 - 4 + 3).
-6*j - 9
Expand (-5*n + 686 - 686)*(3*n**2 + 0*n**2 + 9*n**2).
-60*n**3
Expand 2*i**2 + 0*i**2 - 3*i**2 + (2*i - 2*i - i)*(2*i - 3*i + 0*i) - 3*i + 3*i + 3*i**2 - i**2 + 3*i + 41 - 22 + 0*i.
2*i**2 + 3*i + 19
Expand (158*x + 164*x - 316*x - 5)*(-2*x**3 + 0*x + 0*x).
-12*x**4 + 10*x**3
Expand (7*j + 4*j - 15 - 9*j)*(0 + 0 - 1).
-2*j + 15
Expand (5*b + 0*b - 6*b + (2*b + 2*b - 2*b)*(-5 + 0 + 3) + 4*b - 3*b - 4*b)*(2*b - 1 + 1)*(-4 + 15 + 6).
-272*b**2
Expand (-u + 0 + 0)*(-4*u**2 - 6 + 6) + (3*u - 4 + 4)*(3 - 4 + 0)*(3*u**2 + 3*u**2 - 10*u**2).
16*u**3
Expand (6 + 2*h + 6 - 9)*(4*h**2 - 12*h**2 - 2*h**2).
-20*h**3 - 30*h**2
Expand -2*h**3 + 2*h**3 + 2*h**3 + (-42 + 42 + 13*h)*((2 - h - 2)*(-5*h - h + 4*h) + 0*h**2 - h**2 + 2*h**2).
41*h**3
Expand (-c**3 + c + 0*c - 2*c**3)*(-c + 2*c + c + (-48 + 7*c + 48)*(2 + 2 - 3))*(0*c + c + 0*c).
-27*c**5 + 9*c**3
Expand (r**4 - r**2 + r**2)*(-6 - 3 - 9)*(-5 - 1 + 4).
36*r**4
Expand (48*t - 27*t - 24*t + (-5*t + 5*t - 2*t)*(5 + 1 - 2))*(-3 - 1 + 6).
-22*t
Expand (-2 + 112*w**3 - 149*w**3 + 112*w**3)*(-w**2 + 2*w**2 + 2*w**2)*(-4 + 0 + 2)*(0 + 3 - 5).
900*w**5 - 24*w**2
Expand (0 + 0 - f + (-4*f - f + 3*f)*(-1 + 2 - 3))*(5 + 1 - 3)*(-76*f**2 + 76*f**2 - 13*f**3).
-117*f**4
Expand -4*q**4 - 2*q**2 + 2*q**2 + q**4 - q**4 - 4*q**4 + (-2 + 1 - 1)*(q**4 - 3*q**4 + 4*q**4) + 0*q**4 - q**4 + 4*q**4.
-9*q**4
Expand (-r + r + r)*(2*r**3 + 2 - 2 + (r**2 - r**2 - r**2)*(0 - r + 0) + 74*r**3 - 89*r**3 + 92*r**3).
80*r**4
Expand (33*g - g**2 + 0*g**2 + 15*g)*(-71*g + 112*g - 79*g).
38*g**3 - 1824*g**2
Expand -28*y + 11*y - 11*y - y + y + 2*y + (2 - 1 - 4)*(-3*y - 2*y + 3*y).
-20*y
Expand (-4*w**2 + 4*w**2 - 4*w**2)*(13*w - 26*w - 20*w).
132*w**3
Expand (-10 - 1 + 0)*(3*p**2 - 3*p**2 + 2*p**4 + (-1 - p + 1)*(-p**3 - 9*p**3 + 2*p**3) + (-p + 0*p + 3*p)*(-p**3 - 3*p + 3*p)).
-88*p**4
Expand 56 - 56 - 73*s + 0*s - 3*s + 5*s - 2*s - 2*s + 3*s + 4*s - s - s + (2 - 2 - s)*(-3 + 2 + 0).
-69*s
Expand v**3 - 2*v**4 - v**3 + (-2*v - 9 - v**2 + 9)*(-10*v**2 + 3*v**2 + v**2) - v**4 - 2*v**4 + 5*v**4.
6*v**4 + 12*v**3
Expand 0*l**2 + 4*l**2 - 2*l**2 + (-l + l - 2*l)*(-104*l - 41*l + 43*l).
206*l**2
Expand (15670*h - h**2 - 2 - 15670*h + 10*h**3)*(3*h - 3*h + h).
10*h**4 - h**3 - 2*h
Expand -34 + 10*f**4 - 12*f**4 + 2 + (-2*f**2 - 2*f**2 + 3*f**2)*(f**2 + f**2 - f**2).
-3*f**4 - 32
Expand 0*b**4 + b**4 - 5*b**4 + (2*b + 3*b - 4*b)*(-b**2 + b**3 + b**2) + 1101*b + 85 + 2*b**4 - 1101*b - 4*b**4.
-5*b**4 + 85
Expand (4*u**3 - 4*u**3 + 3*u**3)*(-3*u + 2*u**2 + 3*u) + 3*u**5 - u**5 - 9*u**5.
-u**5
Expand (-12*q + 25*q - 11*q - 8)*(-4 - 1 + 8).
6*q - 24
Expand (26*u - 22*u - 11 - 173*u + 28)*(-u + 4 - 4).
169*u**2 - 17*u
Expand (3 - 12 - 8)*(0*s - 2*s - 8*s).
170*s
Expand (-2*h**2 + 3*h**2 - 4*h**2)*(h**2 - 6*h**2 - 2*h**2 + (-h + 0*h + 2*h)*(2*h - 7*h + 3*h)).
27*h**4
Expand (6 - 6 + 3*b)*(-4 + 0 + 6)*(-6 - 2 + 1)*(0 - 2 - 2).
168*b
Expand (-2*t**5 + t**5 + 3*t**5)*(-1 - 2 + 4) + 10*t**5 - 3*t**5 + 12*t**5 + t**5 + 0 + 0 + (5*t - 4*t - 2*t)*(3 - t**4 - 3).
23*t**5
Expand -2*l - l + 4*l + (1 + 5 - l - 8)*(15 - 5 + 5).
-14*l - 30
Expand (-2*a - 3*a + 2*a)*(9*a**2 + 3*a - 6*a**2 - 5*a**2) + (1 - 1 + 2*a)*(7*a**2 - a**2 - 8*a**2).
2*a**3 - 9*a**2
Expand 17647 - 17647 - 1213*v**3 - 2*v**3 - 4*v**3 + 5*v**3 + (-v + v + 2*v**3)*(-7 + 3 + 3).
-1216*v**3
Expand (0*j - 3*j + 2*j)*(2*j**3 - 5*j**3 + 2*j**3)*(-31*j + 7 - 2 + 22*j).
-9*j**5 + 5*j**4
Expand (24*p - 2*p + 10*p)*(5*p - 3*p - p)*(-6*p**3 + 2*p**3 - p**3).
-160*p**5
Expand (-4*l**3 + 0*l**3 + 0*l**3)*(-1 + 0 + 0) + (5*l - 2*l - 2*l)*(86 - 86 + 12*l**2)*(-2 - 1 + 4).
16*l**3
Expand (6*f + 5*f - 3*f)*(-f - 5*f + 3*f) + f**2 + 0* | {
"pile_set_name": "DM Mathematics"
} |
1. Let v = h - -5. Let z = v + -0.1. What is the closest to -1/3 in 1/4, z, 2/13?
z
Let l = 19 + -18.74. Let a = l - -0.04. Suppose 0*k = -k - 5*y, 0 = -5*k - 2*y. What is the nearest to -0.1 in k, a, 3?
k
Let p(r) = 3*r + 5. Let b be p(-2). Let i = -12 + 3. Let c = 6 + i. What is the nearest to 0.1 in c, 0.5, b?
0.5
Let l = 0.7 - -0.3. Let k = -1 + l. Let h be 8/(-12)*2/6. Which is the nearest to k? (a) 0.4 (b) h (c) -5
b
Let u = -4 + 2. What is the closest to -0.1 in u, 0, -1?
0
Let h be -1 - (0 - (-7)/(-6)). Let k = 11.3 - 7.3. What is the closest to 1/4 in h, k, -2/5?
h
Let r = 26 - 30. Which is the nearest to 1? (a) r (b) -2/3 (c) -5
b
Let h = 1.5 - -1.5. Which is the nearest to -1? (a) h (b) 9/7 (c) 4
b
Let r = -54 + 376/7. Suppose -22 = -3*k + 29. Suppose -3*p - g - 4*g - k = 0, 0 = 4*p + 3*g + 19. What is the closest to 1 in -1, p, r?
r
Let t = -3 - -5. Which is the nearest to t? (a) -1 (b) 4 (c) 1
c
Let j = -2.7 - -2.9. Let o = -0.3 + j. What is the closest to o in 1, -4/3, 2/7?
2/7
Let r = 1 + -0.5. Let w = 0.1 - -0.2. Let y be 0/1 - 4/10. What is the nearest to y in w, r, 0?
0
Let z = -118 - -233/2. Which is the closest to -1? (a) -0.1 (b) 3 (c) z
c
Let a = -179 + 183. What is the nearest to -2 in a, -5, 0.11?
0.11
Let y(b) = -b**2 - 4*b + 5. Let j be y(-4). Let f be (-5)/(j/2) + -4. Let u be f + (0/(-1) - -2). What is the closest to -1 in u, -2, -3/2?
-3/2
Let l = -12.3 - -12.44. What is the closest to 0 in 0, l, 1/6?
0
Suppose 4 = 3*r - r. Let i = -3.7 + -0.3. Let z = i - -3. Which is the closest to 0.2? (a) z (b) r (c) 2/11
c
Let d = 34 - 33. What is the closest to d in 4, 2, -0.5?
2
Let k be ((-3 - -6) + -2)*16/(-2). Which is the closest to -1/3? (a) -2 (b) k (c) 6
a
Let i = -14 + 8. Let s(l) = l**2 + 6*l - 5. Let r be s(i). Which is the closest to -1? (a) r (b) -0.3 (c) -1/5
b
Let y = 28.95 - 28. Let v = 0.05 + y. Which is the nearest to v? (a) -1/5 (b) -0.3 (c) 0.4
c
Let h be -1 + 4 + -5 + 6. Suppose h*y + 1 = -3. Let t = 178/77 + -20/7. Which is the nearest to y? (a) t (b) 5 (c) -1/2
a
Let b = -21 - -17. What is the closest to 2 in -1, -1/2, b?
-1/2
Let a(h) = -h**2 + 5*h - 4. Let r be a(3). Let l = -1.1 - -0.1. Suppose -n - 4 = 3*n + 4*z, 37 = 3*n - 5*z. What is the nearest to l in n, -5, r?
r
Let r = -0.6 + 4.6. Let l = 3.5 - r. Which is the nearest to -1? (a) 0.1 (b) -2/7 (c) l
c
Let j = -1 + 1.7. Let u = j - 0.5. Which is the closest to u? (a) 2 (b) 1/2 (c) -2
b
Let z = -23 + 153/7. Let w = z + 31/21. Let t = 4 + -3. What is the closest to w in 0, t, -1?
0
Let i = -9 - -14. Let c = 3 + -7. Let m = c - -3. What is the closest to -1/2 in 0.1, i, m?
m
Let w = 1 + -1.5. Let r = 4 - 4. Which is the nearest to r? (a) w (b) -0.3 (c) 1/3
b
Let o = -113 - -112.5. Let u = 17 + -35/2. What is the closest to u in 1, o, 2/5?
o
Let t be (-6)/3 - (41/13 - 5). Which is the closest to 0? (a) 0 (b) -4 (c) t
a
Let s = 4 + -2. Suppose s*m + 2 = -4. What is the closest to -1 in m, -5, 2/9?
2/9
Let v = -0.114 + 1.114. What is the closest to v in -4, -0.1, 2/3?
2/3
Let p = -0.003 - -0.303. Which is the closest to p? (a) 0.2 (b) 2 (c) -0.1
a
Let p = 1.4 - 0.4. Let b = 3 - 3.1. What is the nearest to b in -5, 0.3, p?
0.3
Let z = 11 + -11. Which is the nearest to z? (a) -2/3 (b) 5 (c) -0.3
c
Let o = -0.108 - 4.892. Let t = -2.1 - -2. Suppose 3 = -x - 0*x - 5*d, 0 = 5*d. Which is the closest to t? (a) x (b) -4 (c) o
a
Let q = 50.2 + -53.2. Let r = -40 + 159/4. Which is the closest to r? (a) 5 (b) -1 (c) q
b
Let n = -479 - -483.02. Let t = -0.02 + n. Let v = -5.4 + 5. What is the nearest to -1 in v, t, 0.4?
v
Let q = 9 + -6. Let z be (30/(-49))/((-4)/7). Let j = z + -4/7. What is the nearest to 1/4 in q, j, -5?
j
Let u be -3 - (2 - (-86)/(-18)). What is the nearest to u in -1, 4/3, -4?
-1
Let f = -0.01 + -4.29. Let o = -4 - f. Suppose 0 + 2 = 2*r. Which is the nearest to r? (a) o (b) 2 (c) -2/7
a
Let h = -56 - -166/3. Let p(s) = -s - 5. Let q be p(-3). Which is the closest to h? (a) q (b) -1/8 (c) 0.5
b
Suppose -53*n + 40 = -48*n. Let o be ((-1)/1)/(n - 12). Let j = 0.41 + -0.01. Which is the nearest to 0.1? (a) 4/5 (b) o (c) j
b
Let x = -25 - -24. What is the closest to x in -0.25, -5, -1/5?
-0.25
Suppose -4*g - 15 = -g, -2*w - 7 = 3*g. Let s(f) = 5*f**3 + f**2 + f. Let i be s(-1). Which is the nearest to -2/3? (a) -4 (b) i (c) w
a
Suppose -7*y = -10*y + 15. Which is the closest to 0? (a) 3 (b) y (c) -2
c
Let d = -3 + 1. Which is the nearest to -0.1? (a) 0.4 (b) -1/3 (c) d
b
Let i = -1.2 + 0.2. Suppose 3*r - 2*v - 7 = 0, -4*r + 2 = -4*v + 5*v. Let y = -0.6 + 0.2. Which is the closest to r? (a) y (b) i (c) -4
a
Let y be -1*40/12 - -4. What is the closest to y in -0.5, 3, -1.1?
-0.5
Let o = 0.5 - 0.3. Let g be (-20)/(-25) + 116/(-170). What is the closest to o in -1/4, -0.4, g?
g
Let z be (-214)/(-9) + 8/36. Suppose 4*k = k + z. Let r = k + -10. Which is the nearest to r? (a) 4 (b) -1/3 (c) 3
b
Let w = 80 + -79.9. What is the nearest to w in 6, 5, 2/3?
2/3
Let z = 181.08 - 185. Let r = z - 0.08. Let k be 10/24 + (-2)/(-6). What is the closest to -0.2 in -3/5, r, k?
-3/5
Let z = -141 + 144. What is the closest to -2 in 1/5, z, 4?
1/5
Let d(r) = r**2 + 4*r - 5. Let s(n) = n**3 - 6*n**2 - 8*n + 2. Let f be s(7). Let q be d(f). Which is the closest to -1? (a) -3 (b) q (c) -2/9
c
Let j be (2/8 - 1)*104/273. Let g = -4.9 - -5. What is the nearest to g in j, 4, 2?
j
Let s = 4 - 6. Let j be ((-2)/12)/(8/(-36)). Which is the nearest to 0.1? (a) s (b) j (c) 0.4
c
Let d be (63/48)/(-7)*-4. Which is the closest to 0? (a) -5 (b) d (c) -2/7
c
Let w = 17.6 + 1.4. Let j = -19.2 + w. Which is the nearest to 1/4? (a) j (b) 3 (c) -1/3
a
Let a = -0.26 - -0.16. Let z = -58/3 + 281/15. Let t = -1.9 - -2. What is the closest to a in t, z, 0.5?
t
Let u = 64 - 322/5. Let i = -23 + 28. Which is the closest to 0? (a) i (b) u (c) 0.5
b
Let w = 22 + -26. Which is the closest to -3? (a) w (b) 3/7 (c) 1/3
a
Let w be 12/(-7) + (-2)/7. Let k be (3/(-6))/(2 + 0). Let j = 0.7 + -0.2. Which is the nearest to -1/2? (a) w (b) k (c) j
b
Let d(m) = m + 2. Let n be d(-6). Let j = -11 - -7. Let z = n - j. Which is the closest to z? (a) 0.1 (b) -0.4 (c) 4
a
Let a = -142 + 138. Let f = 0 - -1. What is the nearest to f in -3/2, a, -2?
-3/2
Let h = -4633/15 + 309. Which is the nearest to 2/19? (a) 2/3 (b) -2 (c) h
c
Let w = -6.6 - -8.6. Which is the nearest to 0.1? (a) w (b) 0.2 (c) -2
b
Suppose 3*h = 4*h - 4. Which is the nearest to 0.1? (a) h (b) -3/2 (c) -1/6
c
Let i(d) = d - 2. Let b be i(4). Let w = 0.14 - 1.14. Let m = 1.2 - 6.2. What is the nearest to -1/4 in w, m, b?
w
Let k = -0.04 - 0.76. Let g = k - -0.3. Let t be ((-4)/32)/(1/(-2)). Which is the nearest to t? (a) 0.3 (b) -0.2 (c) g
a
Let z(i) = 4*i**3 - i. Let m be z(1). Let q = 1 + -0.9. What is the closest to m in q, 2, 0.2?
2
Let w be 4/(-18) + 153/81. Let h = 0.2 + -0.22. Let r = 5.02 + h. Which is the closest to 0.1? (a) r (b) 1 (c) w
b
Let d = -49.2495 - -0.0495. Let q = d - -41. Let r = 8 + q. Which is the nearest to r? (a) 0.1 (b) -4 (c) 4
a
Let t = -21 + 20.9. Let w be 1/(-3) + 2/24. Which is the nearest to w? (a) t (b) -2/9 (c) 0.4
b
Let y = 11 - 6. What is the closest to -0.1 in 3/5, y, -2/13?
-2/13
Let y = -0.2 + 0. Let o = -1/21 + -2/7. Which is the nearest to o? (a) y (b) 1/4 (c) -0.3
c
Suppose 0 = -5*o + 64 + 41. Suppose -3*g - f = -4*f + 15, -4*f = -5*g - o. Which is the closest to g? (a) 0 (b) 4 (c) -0.2
c
Let n = -0.6 - -0.5. Let q = n - 0.1. Let x = -0.07 - 0.03. What is the nearest to x in q, 5, 4?
q
Suppose 3*t - 2 = m - 0, 5*m - 3 = 2*t. What is the nearest to m in 2/9, -3, 4/7?
4/7
Let t = 1 - 0. Let v(p) = p. Suppose 0 = -4*o + 15 + 5. Let k be v(o). Which is the nearest to -2/5? (a) k (b) t (c) 0.3
c
Let f = -3 + 0. Which is the nearest to -0.1? (a) -3/2 (b) f (c) 3
a
Let l be (-96)/(-52) + -1 - (-8)/52. Which is the closest to 0.1? (a) l (b) -1 (c) -2/3
c
Let v = 3.2 - -0.8. Suppose 3*f = -f + 4. Let o be 2 + f/(12/(-27)). Which is the nearest to o? (a) 3/8 (b) 0.1 (c) v
b
Let q = 2 - -3. Let n be 2 + -1*(-10)/(-7). Let j = -0.02 - 0.98. Which is the closest to j? | {
"pile_set_name": "DM Mathematics"
} |
*4/4 - 1332*u**3 + 15782315*u**2/4 + 7899147*u/2 - 7893820 = 0. What is u?
-7447, -2, 1, 2120
Factor k**3/4 - 149*k**2 + 58891*k/4 - 42834.
(k - 472)*(k - 121)*(k - 3)/4
Factor -l**3 - 218575*l**2 - 11933149712*l + 1159573006912.
-(l - 97)*(l + 109336)**2
Find f such that -f**4 - 23*f**3 + 4599*f**2 + 145775*f - 840350 = 0.
-49, 5, 70
Find q such that q**3/2 + 61*q**2 - 284581*q/2 + 4337489 = 0.
-611, 31, 458
Factor c**2 - 52498*c.
c*(c - 52498)
Solve -8*v**5 - 380*v**4 - 3880*v**3 + 9860*v**2 + 147288*v - 393120 = 0.
-63/2, -13, -10, 3, 4
Find v such that -3*v**3/5 - 1173378*v**2/5 - 15253407*v/5 = 0.
-391113, -13, 0
Find n such that -494*n**5/11 + 19046*n**4/11 + 39574*n**3/11 + 20034*n**2/11 = 0.
-1, 0, 10017/247
Suppose -2*f**4/3 - 128*f**3 - 2342*f**2/3 + 15080*f - 118400/3 = 0. What is f?
-185, -16, 4, 5
Factor g**2 + 2068*g - 8288.
(g - 4)*(g + 2072)
Determine d so that -5*d**5 - 159525060*d**4 - 1272412238400180*d**3 = 0.
-15952506, 0
What is i in 2*i**5/3 + 316*i**4/3 - 7214*i**3 - 67724*i**2/3 - 1240*i/3 + 30096 = 0?
-209, -2, 1, 54
Let -2883*f**5 + 527217*f**4 - 16122864*f**3 - 2086956*f**2 - 67392*f = 0. Calculate f.
-2/31, 0, 39, 144
What is v in 2*v**2/3 - 124686796*v/3 + 1943349637093202/3 = 0?
31171699
Suppose y**3/3 - 7147*y**2/3 + 1029290*y/3 - 2030000/3 = 0. What is y?
2, 145, 7000
Determine v so that -4*v**2 + 5061244*v + 40490208 = 0.
-8, 1265319
Factor -c**2/5 + 156763018*c/5 - 6143660953117081/5.
-(c - 78381509)**2/5
Solve -2*b**3/9 - 287230*b**2/9 + 574474*b/9 + 287234/3 = 0.
-143617, -1, 3
What is a in -2*a**5/9 - 956*a**4/9 - 41354*a**3/3 - 4813444*a**2/9 + 4938464*a/9 = 0?
-296, -97, -86, 0, 1
Factor -8*k**3 + 265144*k**2/3 + 1856302*k/9 + 1082900/9.
-2*(k - 11050)*(6*k + 7)**2/9
Factor 4*s**2 + 1404072*s + 210520800.
4*(s + 150)*(s + 350868)
Suppose 39*q**2/2 - 8553*q + 875196 = 0. Calculate q.
2114/13, 276
Suppose -2*i**2 - 13396*i - 5120874 = 0. Calculate i.
-6291, -407
Solve 5*t**5/2 + 6915*t**4/2 + 552865*t**3/2 - 29463155*t**2/2 + 163934565*t - 149482880 = 0.
-1294, -128, 1, 19
Determine i so that -i**5/3 + 2276*i**4/3 + 60653*i**3 + 3885454*i**2/3 + 13431220*i/3 + 4246616 = 0.
-41, -33, -2, 2354
Let -2*q**5/15 + 4921528*q**4/15 - 3027719103856*q**3/15 + 48442659161984*q**2/15 - 84774166304864*q/5 + 145326737268096/5 = 0. Calculate q.
4, 6, 1230374
Factor a**3 + 12069*a**2 - 290104*a + 1547904.
(a - 16)*(a - 8)*(a + 12093)
Factor 5*d**2 - 98585*d.
5*d*(d - 19717)
Find k such that k**4 - 138374*k**3 + 18668340*k**2 - 839893050*k + 12597028875 = 0.
45, 138239
Find b, given that 3*b**2/2 + 158561454*b + 4190289115765686 = 0.
-52853818
Factor 8325*m**3/2 - 37463*m**2 + 116559*m/2 - 7.
(m - 7)*(m - 2)*(8325*m - 1)/2
Solve 2*l**3/5 + 69988*l**2/5 + 588466624*l/5 - 420816961216/5 = 0 for l.
-17828, 662
Factor -2*c**2/5 + 87968*c/15 + 176008/5.
-2*(c + 6)*(3*c - 44002)/15
Determine x so that -2*x**2/13 - 65967042*x/13 - 131934076/13 = 0.
-32983519, -2
Let 2*y**3 - 16*y**2 - 17650*y - 285600 = 0. What is y?
-80, -17, 105
Let -168*s**3/13 + 996070*s**2/13 - 18852862*s/13 - 224580/13 = 0. Calculate s.
-1/84, 19, 5910
Let -k**5/4 + 279*k**4/4 - 13669*k**3/4 + 117321*k**2/4 - 161465*k/2 + 54750 = 0. Calculate k.
1, 4, 5, 50, 219
Let -4*q**4/9 + 1060*q**3/9 - 63992*q**2/9 + 426224*q/9 + 372320/3 = 0. Calculate q.
-2, 10, 78, 179
Factor 3*i**2 - 60084*i - 601140.
3*(i - 20038)*(i + 10)
Factor g**3 + 14330708*g**2 + 51342211960960*g - 616108607155200.
(g - 12)*(g + 7165360)**2
Factor -5*k**3 + 249435*k**2 - 3065124375*k - 1145747109375.
-5*(k - 25125)**2*(k + 363)
What is z in 2*z**3/5 - 8014*z**2/5 + 5771766*z/5 - 1159090218/5 = 0?
429, 3149
Factor 3*h**2 + 14379576*h.
3*h*(h + 4793192)
Determine g, given that 35641*g**3/6 + 70024*g**2/3 - 5030*g/3 + 8/3 = 0.
-4, 2/1229, 2/29
Determine j so that -4*j**2 + 20304*j - 23307152 = 0.
1754, 3322
Find n, given that 51*n**4/4 + 3051*n**3/2 - 36240*n**2 + 12600*n = 0.
-140, 0, 6/17, 20
Find f such that -2*f**5/11 + 25514*f**4/11 + 255346*f**3/11 - 76322*f**2/11 - 3575152*f/11 + 5004664/11 = 0.
-7, 2, 12767
What is a in -3*a**2/4 - 146019*a/4 = 0?
-48673, 0
Find n, given that n**3 + 25944*n**2 + 9159429*n - 9185374 = 0.
-25586, -359, 1
Factor -6*s**2/7 + 454704*s/7 - 129912.
-6*(s - 75782)*(s - 2)/7
Find r such that 30*r**5/7 + 9342*r**4/7 + 239700*r**3/7 + 1774008*r**2/7 - 561840*r/7 - 33739200/7 = 0.
-284, -11, -10, 18/5
Suppose 4*m**3/3 + 578344*m**2 + 62714755840*m - 376295475200/3 = 0. Calculate m.
-216880, 2
Find q such that 22275*q**4 - 2454120*q**3 + 425919*q**2 - 24094*q + 440 = 0.
4/99, 1/15, 110
Suppose 3*d**5 - 456*d**4 - 8995065*d**3 - 5567491182*d**2 - 5540508300*d + 11116995000 = 0. Calculate d.
-950, -2, 1, 2053
Factor -v**2/3 - 28763*v + 18251500/3.
-(v - 211)*(v + 86500)/3
Let r**2/7 + 18084281*r/7 + 108505650/7 = 0. What is r?
-18084275, -6
Let -4*o**4 - 7836*o**3 + 1973760*o**2 - 24325808*o = 0. What is o?
-2186, 0, 13, 214
Let 4*c**5 - 3490508*c**4 + 761444720616*c**3 + 14468364217512*c**2 + 75389310352980*c + 61682394346596 = 0. What is c?
-9, -1, 436323
Find t, given that -2*t**4 + 24238*t**3 + 291126*t**2 + 218402*t - 533764 = 0.
-11, -2, 1, 12131
Determine l so that -l**3 + 222631*l**2 + 445269*l - 667899 = 0.
-3, 1, 222633
Factor -r**2 + 485267394*r - 58871110919887809.
-(r - 242633697)**2
Find o such that -2*o**4 + 19164*o**3 - 4744656*o**2 + 396180288*o - 11059856640 = 0.
84, 9330
Factor 2*s**2/5 + 442218*s/5 - 88444.
2*(s - 1)*(s + 221110)/5
Solve 2*m**3 - 424866*m**2 - 5098658*m - 4673790 = 0.
-11, -1, 212445
Find a such that -3*a**5 - 2007*a**4 + 12129*a**3 - 14193*a**2 - 12126*a + 16200 = 0.
-675, -1, 1, 2, 4
Determine z so that 2*z**4/5 + 2188*z**3/5 + 637746*z**2/5 + 21105216*z/5 - 21745152/5 = 0.
-528, -39, 1
Suppose -2*i**4/7 - 488*i**3/7 + 27262*i**2/7 - 26772*i/7 = 0. Calculate i.
-291, 0, 1, 46
Suppose -d**5 - 152607*d**4 - 5821842583*d**3 + 29111959899*d**2 - 40757781616*d + 17467816908 = 0. Calculate d.
-76306, 1, 3
Solve 3*c**4 - 144*c**3 - 29385*c**2 + 1422474*c + 25163712 = 0.
-96, -14, 79
Find r, given that 2*r**3/7 + 1605500*r**2/7 + 322211808600*r/7 + 3221957538000/7 = 0.
-401370, -10
What is l in -3*l**2/7 + 311076*l/7 - 4043481/7 = 0?
13, 103679
Let 4*b**5 - 104906908*b**4/5 + 29373928*b**3 - 41962752*b**2/5 = 0. What is b?
0, 2/5, 1, 5245344
Find o such that -395641*o**3/3 + 25978958*o**2/3 - 30392832*o + 27426816 = 0.
1152/629, 62
Determine a, given that -4*a**3/3 + 108612*a**2 - 2207124036*a - 192842753364 = 0.
-87, 40773
What is t in -2*t**3/9 - 97738*t**2/9 - 1196188174*t/9 - 51255532934/9 = 0?
-24413, -43
Let -600*o**5 - 95950934*o**4 + 74523592*o**3 + 213971886*o**2 + 42218608*o - 1279352 = 0. Calculate o.
-159919, -1, -1/4, 2/75, 2
Factor -5*c**3 + 9910*c**2 - 98480*c - 236640.
-5*(c - 1972)*(c - 12)*(c + 2)
Find i, given that i**5 - 5363*i**4 - 253607*i**3 - 3585385*i**2 - 7837102*i + 106317320 = 0.
-17, 4, 5410
What is p in -2*p**5/21 - 11428*p**4/21 + 206392*p**3/21 + 229244*p**2/21 - 206390*p/21 - 217816/21 = 0?
-5732, -1, 1, 19
Factor 3*l**3/7 - 165897135*l**2/7 + 327641195197512*l - 2293488200485452/7.
3*(l - 27649522)**2*(l - 1)/7
Determine m so that 3*m**2 - 510720*m - 4085952 = 0.
-8, 170248
Suppose h**2/4 - 4124319*h/2 + 17010007213761/4 = 0. What is h?
4124319
Solve 2*r**3/13 + 396480*r**2/13 + 19700594874*r/13 + 5056396529796/13 = 0 for r.
-98991, -258
What is t in t**5/2 - 9995*t**4/2 + 27256977*t**3/2 - 11132651489*t**2/2 + 5525465261*t + 11105424492 = 0?
-1, 2, 492, 4751
What is y in y**2/6 + 72561*y/2 - 108842/3 = 0?
-217684, 1
Determine d, given that -185*d**3/3 - 140662*d**2/3 - 187535*d/3 - 15686 = 0.
-759, -1, -62/185
Suppose -1242150*m**5 - 5101460*m**4 - 3803106*m**3 + 1544460*m**2 + 1859968*m + 371712 = 0. Calculate m.
-3, -1, -176/455, 2/3
Factor 3*l**2 + 2509497*l - 2509500.
3*(l - 1)*(l + 836500)
Factor 2*d**2/7 + 1779418*d/7 - 1779420/7.
2*(d - 1)*(d + 889710)/7
Factor -w**3/2 + 2944603*w**2/2.
-w**2*(w - 2944603)/2
Determine s so that -5*s**5/2 + 585*s**4/2 - 11240*s**3 + 162450*s**2 - 630000*s = 0.
0, 6, 25, 30, 56
Let -5*m**3 - 165505*m**2 - 1328578195*m + 683861758825 = 0. What is m?
-16793, 485
Let -5*k**4 + 1190*k**3 - 46625*k**2 - 16320*k + 14515200 = 0. What is k?
-15, 32, 189
Factor -2*l** | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of n*a**2 + 14 + o*a + 14 - 28 wrt a?
8
Let o(x) = x**2 - 5*x + 4. Let q be o(5). Find the first derivative of 7*t**q + 8 + t**4 + 20 + 2*t**4 wrt t.
40*t**3
Let b(y) be the first derivative of 13*y + 39 + 3*y - 29 + y**4 - 3*y. Differentiate b(s) with respect to s.
12*s**2
Suppose 2*p = -o + 5, 8*o + 25 = 4*p + 5*o. Differentiate -50 + 3*r + 98 + 11*r**p - 5*r + r with respect to r.
44*r**3 - 1
Let q = -99 + 101. Find the third derivative of 12*j**2 + 22*j**q + 14*j**3 + 13*j**3 - 4*j**3 wrt j.
138
Let n = 34 - 27. What is the third derivative of -10*l**2 - 16*l**2 - n*l**4 + 2*l**4 - 5*l**4 wrt l?
-240*l
Let f be (-2513)/(-133) - 2/(-19). What is the first derivative of -4*c + 17*c**2 + 4*c + 3 - f wrt c?
34*c
Differentiate -423 + 564 - 130*c - 56*c + 5*c wrt c.
-181
Let o(k) = 1. Let d(s) = -9*s**3 - 9*s**2 - 9. Let h = -7 - -6. Let c(b) = h*d(b) - 9*o(b). What is the third derivative of c(i) wrt i?
54
Let i(t) be the third derivative of -10*t**2 - 1/168*t**8 + 0*t**7 + 0*t + 0*t**6 + 1/5*t**5 + 0 + 0*t**4 + 0*t**3. What is the third derivative of i(z) wrt z?
-120*z**2
Let p = -23 + 80. Suppose 0 = 2*o + 3*h - 87, -3*o = 3*h - 66 - p. What is the second derivative of 35*j**3 - 3 - o*j**3 + 7*j + 3 wrt j?
-6*j
Let x(f) be the first derivative of -2*f**6/15 - f**5/3 + 5*f**2/2 + 16. Let o(z) be the second derivative of x(z). Find the third derivative of o(n) wrt n.
-96
Let l(h) be the first derivative of -13 + 0*h**2 - 11*h + 12/5*h**5 + 0*h**4 + 0*h**3. Differentiate l(t) with respect to t.
48*t**3
Suppose -3*g - 40 = -5*c, c + 1 = -2*g - 4. Let m = g + 13. Differentiate 4*w**2 + 4 - 5 + m wrt w.
8*w
Let v = -36 - -41. What is the second derivative of -15*d + 13*d**5 + 9*d - 16*d**v - 20*d wrt d?
-60*d**3
Let k(m) = 0*m + m - 1 - 2*m. Let y = 52 - 53. Let h(v) = 2*v**2 - v - 2. Let g(o) = y*k(o) + h(o). Differentiate g(p) with respect to p.
4*p
Suppose -7 - 37 = -22*v. What is the second derivative of 3*x**v + 41*x - 45*x - x**3 - 7 - 4*x**2 wrt x?
-6*x - 2
Let w(s) = -1. Let g(y) = -23*y + 7. Let l(q) = 2*g(q) - 6*w(q). What is the first derivative of l(p) wrt p?
-46
Let u(g) = 2*g**2 + 4*g - 18. Let s be u(14). Find the third derivative of 16*l**2 - 430 + s - 5*l**5 wrt l.
-300*l**2
Let r(h) = 14*h**6 - 2*h**3 + 38*h**2 + 2*h. Let b(q) = 43*q**6 - 7*q**3 + 113*q**2 + 7*q. Let m(g) = 4*b(g) - 14*r(g). Find the third derivative of m(y) wrt y.
-2880*y**3
What is the first derivative of -35*a - 93 + 391*a - 91 - 2 - 59*a wrt a?
297
Differentiate 1376 - 2784 + 1301 - 437*z with respect to z.
-437
Let a(m) be the second derivative of -52*m**6/15 - 61*m**2 + 321*m. What is the derivative of a(o) wrt o?
-416*o**3
What is the third derivative of -26*b - 3*b**4 + 7*b**6 - 36*b + 14*b**6 + 24*b**6 + 30*b**2 + 60*b wrt b?
5400*b**3 - 72*b
Suppose 26 = 2*b + 5*n, 0*b + 4*b - 28 = -4*n. Suppose 5*v - v = 8. What is the second derivative of a**3 - 7*a + a**3 - v*a**3 - 6*a**b wrt a?
-36*a
Suppose 0 = -3*f - 4*w + 5, -4*w + 2*w = -3*f + 11. Let x(o) be the second derivative of -4*o**2 + 0 + 4*o - 5/6*o**f. What is the derivative of x(q) wrt q?
-5
Let y(j) be the first derivative of 22 - 4*j**2 - 6*j**4 + 48*j - 48*j - j**2. What is the second derivative of y(t) wrt t?
-144*t
Suppose 11 - 17 = -3*f. Let t = f - -3. Differentiate m**2 + t + m**2 - 2 + 4*m**2 with respect to m.
12*m
Let o(w) be the first derivative of 0*w + 0*w**3 - 6*w**2 + 3 + 0*w**4 + 1/5*w**5. Find the second derivative of o(v) wrt v.
12*v**2
Let o(w) = -40*w**4 + 2*w**3 - 2*w**2 - 2*w - 40. Let y(k) = k**4 - k**3 + k**2 + k - 1. Let r(i) = -o(i) - 2*y(i). Find the first derivative of r(p) wrt p.
152*p**3
Let l(p) be the third derivative of -37*p**7/70 - 73*p**3/2 + 114*p**2 + 1. Differentiate l(d) with respect to d.
-444*d**3
Let b(i) = -147*i + 104. Let q(k) = -588*k + 417. Let y(r) = 21*b(r) - 5*q(r). What is the first derivative of y(j) wrt j?
-147
Suppose -3*w - 25 = -5*u, 0 = -3*w + w - 10. Suppose q = -a - 3*a, -5*q - 5*a = -45. Find the third derivative of u*s**3 - 5*s**3 - 3*s**2 + q - 12 wrt s.
-18
Suppose 8*n + 20 = 13*n. Suppose 0 = 6*m - 3*m - 21. Find the third derivative of -2*h**6 - 26*h**4 + 26*h**n - 10*h**6 - m*h**2 wrt h.
-1440*h**3
Differentiate -20 + 4*p - 3*p**2 + 15*p - 43 wrt p.
-6*p + 19
Suppose 5 = 3*x - 4*x. Let m(j) = -2*j - 4. Let a be m(x). What is the third derivative of w**6 - w**2 + 4*w**a - 10*w**2 wrt w?
600*w**3
What is the third derivative of 22*g**3 - 25*g**2 + 1589*g**4 + 31*g**2 + 127*g**2 - 1591*g**4 wrt g?
-48*g + 132
Suppose -264 = -19*m - 93. Let j(a) be the first derivative of 0*a - m + 9/2*a**2 + 0*a**5 + a**6 + 0*a**4 + 0*a**3. Find the second derivative of j(s) wrt s.
120*s**3
Let q(r) be the first derivative of r**6/3 + 17*r**5/5 + 15*r**3 - 47. Find the third derivative of q(x) wrt x.
120*x**2 + 408*x
What is the third derivative of -123617*i - 2*i**2 + 18 + 104*i**3 + 123617*i wrt i?
624
Let p(d) be the second derivative of -3*d**5/20 + 31*d**4/4 - 257*d**2/2 - 57*d. Find the first derivative of p(f) wrt f.
-9*f**2 + 186*f
Let k(v) = -v**3 + v**2 + 2*v - 1. Let y(t) = -161*t**3 + 32*t**2 - 1. Let j(u) = -k(u) + y(u). Find the third derivative of j(a) wrt a.
-960
Let h(b) be the third derivative of -211*b**6/120 + 85*b**4/24 + 165*b**2. Find the second derivative of h(w) wrt w.
-1266*w
Suppose 5*b - 10 = 5*m, 5*b + 3*m + 2 + 4 = 0. Suppose n - 2*d = 0, 5*n - 2*d - 3*d = b. Differentiate -4 + 2 + 5 + n*y + y with respect to y.
1
Let c(t) = -2*t + 17. Let f be c(5). Find the second derivative of -19 - 10 + 8*s + f*s**3 + 29 wrt s.
42*s
Suppose 7*o = 2*o + 10. Let x = 3 - 0. Find the second derivative of -o*c + 40*c**3 - 3*c - 45*c**x wrt c.
-30*c
What is the second derivative of 16*w + 5*w - 28*w**5 - 143*w + 102*w**5 wrt w?
1480*w**3
Let o be ((-3)/27)/((-37)/555). Let z(u) be the first derivative of -o*u**3 + 7 + 0*u + 7/2*u**2. Find the second derivative of z(m) wrt m.
-10
Let l(f) be the third derivative of f**5/6 - 100*f**3/3 + 255*f**2. What is the first derivative of l(c) wrt c?
20*c
What is the third derivative of 21*p**5 + 27*p**2 + 21*p**5 - 18*p**5 + 8*p**5 wrt p?
1920*p**2
Suppose -4*n - 9 = -7*n. What is the first derivative of 2*w**2 + 3 - 8 - n wrt w?
4*w
Let q(g) = -23*g**2 + 5 - 14*g**6 + 0 + 0*g**2. Let c(y) = 15*y**6 + 23*y**2 - 4. Let a(f) = -5*c(f) - 4*q(f). Find the third derivative of a(z) wrt z.
-2280*z**3
Let t(f) be the first derivative of -7*f**5/60 + 11*f**4/24 - f**3/3 + 11. Let w(j) be the third derivative of t(j). Find the first derivative of w(l) wrt l.
-14
Suppose -2*a = -a - 2*f - 1, 17 = -3*a - 4*f. Let g be 14/a*306/(-119). Find the second derivative of -11*x**4 + 0*x + g*x + 16*x**4 wrt x.
60*x**2
Let o(t) = -3*t + 20. Let n be o(6). What is the second derivative of -14*b + 18*b**2 + b - 5*b**n wrt b?
26
Let x(z) = 1. Let c(o) = -3*o**2 - 9*o + 9. Let l = -21 + 20. Let d(t) = l*c(t) + 9*x(t). Find the second derivative of d(b) wrt b.
6
Let m(q) = 72*q - 454. Let x(j) = 76*j - 454. Let z(t) = 2*m(t) - 3*x(t). Differentiate z(p) with respect to p.
-84
Let d(b) = 14*b**4 - 10*b**2 - 6*b - 30. Let h(p) = 14*p**4 - 8*p**2 - 5*p - 29. Let r(c) = 4*d(c) - 5*h(c). Find the second derivative of r(t) wrt t.
-168*t**2
Let d(v) = -110*v**2 - 4*v + 1. Let b(n) = 110*n**2 + 4*n + 1. Let a(u) = -4*b(u) - 5*d(u). Find the second derivative of a(l) wrt l.
220
Let v(k) = k**2 - 14*k - 9. Let a be v(15). What is the second derivative of a*x + 60*x**3 + 13*x - 32*x**3 + 8*x wrt x?
168*x
Let o(p) = 4*p - 3*p - p + 2*p - 13. Let w be o(9). Find the third derivative of -j**2 - 3*j**6 - w*j**6 + 5*j**6 wrt j.
-360*j**3
Let m(g) = -59*g**4 + 2*g**3 + 2*g + 117. Let w(n) = 119*n**4 - 5*n**3 - 5*n - 233. Let f(i) = 5*m(i) + 2*w(i). Differentiate f(h) with respect to h.
-228*h**3
Let v(c) = 108*c**5 - 2*c**3 + 2*c**2 + 10*c - 5. Let f(z) = z**3 - z**2 - 2*z. Let k(s) = 2*f(s) + v(s). What is the second derivative of k(i) wrt i?
2160*i**3
Let k(o) be the third derivative of 3*o**5/20 - 7*o**4/12 - 6*o**3 + 141*o**2. Differentiate k(t) wrt t.
18*t - 14
Let j(k) be the third derivative of -25*k**7/42 + 79*k**4/24 + k**3/6 - 80*k**2. What is the second derivative of j(a) wrt a?
-1500*a**2
Let g(d) = -5*d + 2. Let | {
"pile_set_name": "DM Mathematics"
} |
4). Let h(j) be the third derivative of 1/660*j**6 + 0*j + 0*j**4 + 0*j**3 + 0 - u*j**2 + 1/165*j**5. Factor h(t).
2*t**2*(t + 2)/11
Suppose 512/3*w**3 + 46/3*w + 4/3 - 88*w**4 - 298/3*w**2 = 0. What is w?
-2/33, 1/2, 1
Let r(w) = -9*w**3 - 7*w**2 - 7*w - 7. Let x(q) = 4*q**3 + 3*q**2 + 3*q + 3. Let g(z) = 3*r(z) + 7*x(z). Find y such that g(y) = 0.
0
Suppose 6*y - y + 10 = 0. Let g be (1 - 6)*y/5. Find o, given that -8/5*o + 8/5 + 2/5*o**g = 0.
2
Let g be (-4)/4*(-5)/1. Suppose -g*d = -4*d. Find o, given that d - 4/9*o**3 + 0*o + 2/9*o**2 = 0.
0, 1/2
Let v(y) be the second derivative of y**8/1848 - y**7/1155 + y**2 - y. Let t(o) be the first derivative of v(o). What is l in t(l) = 0?
0, 1
What is g in 3/2 + 15/8*g**2 - 3*g - 3/8*g**3 = 0?
1, 2
Let s(z) be the third derivative of z**7/525 - z**6/75 + z**5/25 - z**4/15 + z**3/15 - z**2. Suppose s(i) = 0. What is i?
1
Let c(b) be the third derivative of -1/60*b**6 + 0*b - 1/105*b**7 + 1/336*b**8 + 1/24*b**4 - 7*b**2 + 1/15*b**5 + 0 - 1/3*b**3. Factor c(k).
(k - 2)*(k - 1)**2*(k + 1)**2
Let x(h) be the second derivative of 4/3*h**2 - h + 0 + 49/18*h**4 - 28/9*h**3. Factor x(u).
2*(7*u - 2)**2/3
Let d(w) be the second derivative of -2/7*w**2 + 0 + 1/7*w**3 + 5*w - 1/42*w**4. Let d(i) = 0. Calculate i.
1, 2
Let b(w) be the second derivative of w**9/7560 + w**8/2100 - w**6/450 - w**5/300 - w**3/2 - 2*w. Let u(v) be the second derivative of b(v). Factor u(a).
2*a*(a - 1)*(a + 1)**3/5
Let o = 84 - 84. Let r(c) be the second derivative of -c + 1/35*c**5 + 0 + 0*c**2 + 1/105*c**6 + o*c**3 + 1/42*c**4. Factor r(z).
2*z**2*(z + 1)**2/7
Let o(v) be the first derivative of v**5/15 - v**4/2 + 13*v**3/9 - 2*v**2 + 4*v/3 + 33. Factor o(z).
(z - 2)**2*(z - 1)**2/3
Let x(b) be the second derivative of 2*b**6/3 + 5*b**5/4 + 5*b**4/12 + 12*b. Factor x(u).
5*u**2*(u + 1)*(4*u + 1)
Let h(c) = -c**2 - c. Let q(y) = -2*y**2 + 13*y. Let b(z) = 3*h(z) + q(z). Factor b(m).
-5*m*(m - 2)
Let t(n) = n**2 - 2*n + 1. Let v be t(1). Let c = -131 - -131. Let 0*h + 0*h**3 + 2/7*h**5 + v*h**2 + 0*h**4 + c = 0. What is h?
0
Let s(q) = -q**3 + 8*q**2 + 8*q + 6. Let i be s(9). Let u be 4/(-6)*(0 + i). Suppose -1/3 - 1/3*j**u + 2/3*j = 0. What is j?
1
Let o(f) = f**3 + 14. Let k be o(0). Find t, given that 18*t - 8*t**4 - t**4 - 36*t**2 - 3 + k*t**3 + 16*t**3 = 0.
1/3, 1
Let l(b) = b**2 + 1. Let p(m) = 7*m**2 + m + 8. Let n(g) = 24*l(g) - 3*p(g). Factor n(d).
3*d*(d - 1)
Determine h, given that -2*h - 16*h**5 + 14*h**3 + 22*h**2 + 4*h + 61 - 63 - 20*h**4 = 0.
-1, -1/2, 1/4, 1
Let k(b) be the first derivative of -1/5*b**2 + 2/3*b**3 + 14/25*b**5 - 2/15*b**6 + 0*b + 2 - 9/10*b**4. Solve k(q) = 0.
0, 1/2, 1
Suppose 2*w = 5*s - 4, 0*w + 2*w + s = 8. Let n(b) be the second derivative of 1/3*b**w + b - 1/12*b**4 - 1/2*b**2 + 0. Suppose n(m) = 0. What is m?
1
Let v(z) = -z**2 + 1. Let u(n) = -9*n**2 - 18*n - 9. Let l(c) = -c + 1. Let b be l(-5). Let h(t) = b*v(t) + u(t). Solve h(w) = 0 for w.
-1, -1/5
Let w(j) = -2*j - 5. Let v be w(-4). Solve 0*t**2 + 2*t**2 + 5*t**5 - v*t**5 - 2*t**4 + 0*t**2 - 2*t**3 = 0 for t.
-1, 0, 1
Suppose 0 = -j - 10*j + 33. Find u, given that -12/7*u**2 + 8/7*u**j + 8/7*u - 2/7 - 2/7*u**4 = 0.
1
Factor c - 2*c**3 - 9*c**4 + 50*c**2 - 10*c - 17*c**2 - 13*c**3.
-3*c*(c - 1)*(c + 3)*(3*c - 1)
Let w(p) be the third derivative of p**5/60 - 17*p**4/56 + p**3/3 - 18*p**2. Determine m, given that w(m) = 0.
2/7, 7
Let d(v) be the third derivative of 0 + 0*v - 1/36*v**4 + 0*v**3 + 1/180*v**5 - 3*v**2. Determine c so that d(c) = 0.
0, 2
Let y be 3 + ((-448)/12)/14. Suppose -y*m + 0 + 1/3*m**2 = 0. Calculate m.
0, 1
Let z = -8 + 8. Let d(t) be the second derivative of 1/30*t**4 + 0*t**2 + z + t - 1/15*t**3. Solve d(g) = 0 for g.
0, 1
Let p(t) be the first derivative of 0*t - 3/16*t**4 - 9/20*t**5 + 1/2*t**6 + 2 + 0*t**2 + 0*t**3. Solve p(n) = 0 for n.
-1/4, 0, 1
Let j(m) be the first derivative of -m**7/420 + m**6/60 - m**5/20 + m**4/12 + m**3 + 3. Let i(d) be the third derivative of j(d). Factor i(a).
-2*(a - 1)**3
Let d(h) = 15*h**3 + h**2 + 2*h - 3. Let u be d(2). Factor -u*b**2 + 3*b**3 + 125*b**2 - 3*b**5.
-3*b**3*(b - 1)*(b + 1)
Suppose 2*c = 5*n - 14, 5*n = -c + 9 + 14. Let b(m) = -m**3 - 4*m**2 - 3*m + 2. Let i be b(-3). What is h in c*h**2 + h**3 + 0*h**i - 5*h**2 + 3*h**2 = 0?
-1, 0
Suppose 2*b = -b + 4*p - 20, -2*b = 4*p - 20. Let z be (2/12)/((-2)/(-8)). Factor 4/3*c**2 + b + z*c + 2/3*c**3.
2*c*(c + 1)**2/3
Let s be 2 - (3 - 3/2). Suppose 0 + 2*v**3 - 5/2*v**2 + s*v = 0. Calculate v.
0, 1/4, 1
Let h = -1/397 + 400/1191. Factor 0 - h*c**2 - 4/3*c**3 + c**4 + 2/3*c.
c*(c - 1)**2*(3*c + 2)/3
Let s(o) be the second derivative of o**4/3 + 4*o**3/3 + 2*o**2 + 6*o. Solve s(k) = 0.
-1
Let t(f) = -f**2 + f - 4. Let z(b) = -4. Suppose 4*j - 8 = -2*v + 6, 2*j + 4*v = -8. Let i = j - 8. Let u(l) = i*t(l) + 3*z(l). Factor u(g).
2*(g - 2)*(g + 1)
Let t = 2/529 + 523/1587. Let m(f) be the first derivative of -2/15*f**5 + 1 + 0*f + 2/9*f**3 - 2/3*f**2 + t*f**4. Factor m(v).
-2*v*(v - 2)*(v - 1)*(v + 1)/3
Suppose 5*b = -3*x - 2*x + 30, -8 = -4*x. Let -n + n + 6*n**2 + b*n = 0. What is n?
-2/3, 0
Let f(j) be the second derivative of -j**6/60 + j**5/20 - j**3/6 + j**2/4 - 13*j. Suppose f(a) = 0. What is a?
-1, 1
Let v(k) be the first derivative of -3*k**4/7 + 32*k**3/21 - 8*k**2/7 - 15. Factor v(w).
-4*w*(w - 2)*(3*w - 2)/7
Let a(k) = 2*k**2 - 9*k + 7. Let j(q) = 6*q**2 - 26*q + 20. Let v(d) = 14*a(d) - 5*j(d). Let v(o) = 0. Calculate o.
1
Factor -9*p - 21/2 + 3/2*p**2.
3*(p - 7)*(p + 1)/2
Suppose s + 38 = 20*s. Determine m so that 3/4 - 1/4*m**s + 1/2*m = 0.
-1, 3
Let n(l) be the second derivative of 1/180*l**5 + 2*l + 0*l**4 + 0*l**3 + 0 + 1/2*l**2. Let d(j) be the first derivative of n(j). Factor d(k).
k**2/3
What is d in -11*d - 5*d**3 - 3*d - 12*d**2 + d**3 - 4 + 2*d = 0?
-1
Let y be (-48)/(-9)*15/110. Find t, given that 8/11*t**3 + 2/11 - 2/11*t**2 - y*t = 0.
-1, 1/4, 1
Suppose 2*m = 3*m - 2. Let y(a) be the third derivative of 0 - 1/210*a**5 + 0*a**3 + 1/42*a**4 - 1/105*a**6 + 0*a + 1/245*a**7 + 4*a**m. Factor y(f).
2*f*(f - 1)**2*(3*f + 2)/7
Let r(i) be the second derivative of -4/45*i**5 + 1/36*i**6 - 2*i - 1/9*i**4 + 0 + 0*i**3 - 1/2*i**2. Let l(u) be the first derivative of r(u). Factor l(s).
2*s*(s - 2)*(5*s + 2)/3
Suppose -j - 7 = -10. Let v(z) be the third derivative of 1/6*z**j - 1/210*z**7 + 1/60*z**6 + 0*z + 0 + 0*z**5 + z**2 - 1/12*z**4. Factor v(h).
-(h - 1)**3*(h + 1)
Let y(t) be the first derivative of t**4/20 + t**3/5 + 3*t**2/10 + 4*t + 1. Let b(z) be the first derivative of y(z). Factor b(o).
3*(o + 1)**2/5
Determine s so that -94*s**2 - 361*s + 18*s**2 + 16*s**3 + 473*s - 48 = 0.
3/4, 2
Let l(d) = -d**3 + 4*d**2 + 4*d + 7. Let r be l(5). Suppose -6 + 0 = -r*u. Suppose -6*n**5 + 0*n**5 - 2*n + 4*n**5 + 4*n**u = 0. Calculate n.
-1, 0, 1
Let d(z) be the second derivative of -z**6/10 + 3*z**5/5 - 5*z**4/4 + z**3 + 2*z. Solve d(n) = 0 for n.
0, 1, 2
Let u(x) = 20*x**4 - 2*x**3 - 18*x**2 - 18*x. Let z(a) = a**4 - a**2 - a. Let f(k) = -2*u(k) + 36*z(k). Let f(q) = 0. Calculate q.
0, 1
Let p(f) = -f**3 - 43*f**2 + 85*f - 225. Let x be p(-45). Determine z, given that -14/5*z**5 - 38/5*z**4 + x - 6*z**3 + 4/5*z - 2/5*z**2 = 0.
-1, 0, 2/7
Let y(g) be the second derivative of -3*g + 0 + 0*g**4 + 1/21*g**7 - 2/15*g**6 + 0*g**3 + 0*g**2 + 1/10*g**5. Determine q so that y(q) = 0.
0, 1
Factor -3/4*t**3 + 3/4*t - 3/4*t**2 + 3/4.
-3*(t - 1)*(t + 1)**2/4
Let r(m) = 9*m**3 - 9*m**2 - 6*m + 6. Let y(p) = p**3 - p**2 - p + 1. Let t(u) = -r(u) + 6*y(u). Factor t(a).
-3*a**2*(a - 1)
Suppose 3*c = -2*c - 3*o + 12, -5*o = -c - 20. Factor -1/2*h**2 + 0*h + c.
-h**2/2
Let u(n) = 5*n**3 + 23*n**2 - 13*n + 9. Let w(l) = 2*l**3 + 8*l**2 - 4*l + 3. Let p(s) = -3*u(s) + 8*w(s). Factor p(r).
(r - 3)*(r - 1)**2
Factor q**3 + 4*q**4 + 2*q**3 - 4*q**2 - 3*q**3.
4*q**2*(q - 1)*(q + 1)
Let o(c) be the second derivative of c**5/140 - c**3/42 + 13*c. Determine n so that o(n) = 0.
-1, 0, 1
Find n such that 2/3*n + 0 - 4/9*n**2 - 2/9*n**3 = 0.
-3, 0, 1
Let g(f) be the third derivative of f**6/40 + 9*f**5/20 + 3*f**4 + 8*f**3 + 19*f**2. Find v, given that g(v) = 0.
-4, -1
Let t(h) be the second derivative of -2*h**7/21 - 2*h**6/15 + 2*h**5/5 + 2 | {
"pile_set_name": "DM Mathematics"
} |
t x = o - 7/2139. What is the common denominator of 48/13 and x?
130
Let f = -2678 - -37469/14. What is the common denominator of f and (275/77)/(4/(-7)*3)?
84
Let b = -142637 + 1074769793/7535. Let j = 670679/241120 + b. Find the common denominator of j and 162/16*(-20)/(-105).
224
Suppose 4*w - 2*w - 82 = 0. Let p = w + -29. Suppose -5*b + 2*b + 11 = 4*y, -5*y + p = 2*b. What is the lowest common multiple of y and 18?
18
Let t = 129622589/759061308 + -2/1036969. Find the common denominator of t and 95/16.
2928
Let h be (-9)/(9/(-3)) - -15. Let v be (-9)/h*-6*8. Calculate the common denominator of 425/v - 6/(-48) and 1/9.
18
Let o(u) = -u**2 - 6*u + 1. Let d be -1*(2 - 2 - 1)*1. What is the least common multiple of o(-5) and (d - (-10)/(-15))*(8 + 1)?
6
Suppose -2*i = 2*n - 2, -2*n + n = -4*i - 1. What is the least common multiple of 258 and n?
258
Let y = -8625 + 103435/12. Let c = 6861/20 + -344. What is the common denominator of y and c?
60
Let l(y) be the first derivative of y**2/2 + 27*y - 20. What is the smallest common multiple of 18 and l(-3)?
72
What is the common denominator of -5/68 and -4 - (35/10*9 - -1)?
68
Suppose -3*h - 49 = -2*s, -2*s - 2*h + 27 = -7. What is the least common multiple of s and 20?
20
Let o be (-15)/(-25)*45*1. Suppose -3*y = 3 - o. What is the common denominator of 85/6 and 150/y*1 - -4?
12
Suppose 5*r - 12 = -0*k - 2*k, -12 = 3*k. Let g(s) = -61*s**2 + 5*s + 2. Let d be g(r). Let c = 9523/10 + d. What is the common denominator of 19/11 and c?
110
Let n = -29 - -123. Let r = -83 + n. Calculate the least common multiple of r and (-1)/3 - (-28)/3.
99
Find the common denominator of 5/66 and -9*(-6)/(-36)*31/(-132).
264
Let t(d) = -41*d**2 - d - 8. Let j be t(-4). Calculate the common denominator of (9/24)/((-63)/j) and -1/20.
140
Calculate the smallest common multiple of 749 and (-1*(-1)/(-2))/(15/(-330)).
8239
Let h = 8 - -12. Let k(v) = -v**3 - v**2 + v - 1. Let p be k(0). Calculate the least common multiple of h and ((-4)/8)/((-4)/(-112))*p.
140
Suppose -5*d + 2*u = 3*u - 3, -3*u = 2*d + 4. Calculate the common denominator of -75/14 and d - 5 - -7 - (-747)/(-282).
658
Let z(m) = 2*m**3 + 28*m**2 - 25*m + 22. What is the lowest common multiple of z(-14) and 8?
744
Let s(m) = -m**3 + 5*m**2 + 1. Let r be -3 + (-2)/(-2) - -7. Suppose 3*p + 2*b - 37 = 0, 0*b = -3*b + 15. What is the least common multiple of s(r) and p?
9
Let z(r) = -r + 10. Let q(m) = m**2 - 3*m - 12. Calculate the least common multiple of q(-4) and z(8).
16
Let a(u) = -23*u**2 + 5. Let v be a(2). Let h = v + 109. What is the lowest common multiple of h and 12?
132
Suppose -4 = 2*h - 12. Suppose 15 = h*o - 17. Suppose -3*a + 63 = 45. Calculate the smallest common multiple of a and o.
24
Let y(v) be the third derivative of v**5/20 + v**4/12 - 2*v**3/3 + 12*v**2. What is the least common multiple of y(-4) and 4?
36
Suppose -6*p - 7 = -25. Suppose -15*t = -p*t - 24. What is the least common multiple of 4 and t?
4
Let t be ((-17)/2)/((-4)/(-8)). Suppose 4*m + 2 + 22 = 0. Let j = m + t. Calculate the common denominator of -37/9 and j.
9
Calculate the common denominator of (-6)/((-6336)/(-4866)) - -5 and 5/6.
528
Let c(p) = p**3 + 7*p**2 + 7*p - 3. What is the lowest common multiple of 18 and c(-5)?
36
Suppose 7*t - t = 144. What is the smallest common multiple of t and 8/20 - ((-153)/5 - 2)?
264
Suppose -2*k + 24 = 2*i, 4*i - 4*k = -0*k + 48. Let n = i - 12. What is the least common multiple of (-1 + n)/(1/(-5)) and 10?
10
Let k be (63/(-12))/(12/(-32)). Let f be k/6 + 4/(-12). Suppose -3*l + 62 = -f*q, -l = -3*l - 2*q + 48. Calculate the smallest common multiple of l and 14.
154
Let u = 14221/6 + -2350. Find the common denominator of 37/192 and u.
192
Calculate the common denominator of -1*2/7 + 866/(-56) and (8925/(-972))/17 + 2/(-8).
324
Suppose -3*w + 9 = 0, -2*w = 3*l - 6*w + 234. What is the common denominator of (2/((-4)/l))/(-11) and 3/(-6) - (-3)/10?
55
Suppose -102 = -4*m + 3*n, -n - 3*n = -m + 19. Let u = -11 + m. What is the lowest common multiple of 4 and (-2)/4 - (-72)/u?
4
Let z(h) = -12*h - 1. Let s(n) = 23*n + 1. Let i(o) = 3*s(o) + 5*z(o). Calculate the least common multiple of i(1) and 7.
7
Let r = 1338 + -947. Let l = 1112/3 - r. Let y = -11751/238 + -15/119. Find the common denominator of y and l.
6
Suppose 0 = 4*h + h + 20. Let f be 182/10 - h/5. What is the least common multiple of 9 and (-4)/(-6) - f/(-3)?
63
Let h(b) = -b + 20. Let f be h(14). Suppose -f*l + 2*l = -48. Calculate the smallest common multiple of l and 60.
60
Let l(a) = -a + 21. Let p be l(13). Find the common denominator of -95*((-4)/p)/(-1) and -105/22.
22
Let l = -3483 - -27795/8. Calculate the common denominator of l and ((-46)/8)/((-5)/(-4)).
40
Let g = 86 - 56. Suppose 3*o - g = 2*i, -3*o - i = i - 18. Suppose 84 = 12*n - 180. What is the smallest common multiple of n and o?
88
Let h be (-66554)/(-2 + 126/15). Let d = h + 10405. Find the common denominator of d and -87/2.
16
Let h(d) = -46*d - 279. What is the least common multiple of 21 and h(-9)?
945
Let n be (26/8)/(3*(-12)/38176). Let b = n + 3443. Find the common denominator of b and -173/30.
90
Let q = 15/271 - -11217/2981. Suppose 4*c - 3 = 3*p + 4, 5*p = 15. Calculate the common denominator of q and ((-444)/45)/c*-1.
165
Suppose -12*c = -40 - 200. Calculate the smallest common multiple of 62 and c.
620
Let o = 27343/1768 - 20/221. Let y be (-2)/(-7) - 405472/19712. Let c = o + y. Find the common denominator of c and 13/11.
11
Let f = -3/608 + 43577/21280. Calculate the common denominator of f and 43/14.
70
Let z be (-111)/12*(-41)/14. Let a = z + -215/7. Let m = -18929/9 + 2106. Find the common denominator of a and m.
72
Let b(a) = -a**2 + 7*a + 19. Let f be b(-7). Let g = f - -83. Suppose -2*s = -3*c + 27, -3*c + 36 = -s + 2*s. What is the smallest common multiple of c and g?
44
Let d = -189928315 - -1838506086207/9680. Let x be 8/92 + 30144/(-333960). Let u = x + d. What is the common denominator of u and -79/18?
144
Let k(y) = -3*y + 62. Suppose -5*v + 0 = -5*q - 10, -2*q + v - 1 = 0. Calculate the smallest common multiple of q and k(18).
8
Let l = 2/20889 + 109069/188001. Find the common denominator of 71/72 and l.
648
Calculate the common denominator of -109/40 and (-1 - (-23888)/24320)*(-4)/(-6).
760
Let b(n) = n**2 + 19*n + 23. Let c be b(-18). Suppose 2009 + 2776 = -c*l. Let x = 1975/2 + l. What is the common denominator of x and 27/2?
2
Let g = 20 + -24. Let t = -471/130 - -3/130. What is the common denominator of 3 + (-144)/(-20) + g and t?
5
Calculate the common denominator of 7/4 and 24/(-15)*10/44.
44
Suppose -6 = 2*k - 3*k. What is the lowest common multiple of 111/15 + -7 - (-176)/10 and k?
18
What is the common denominator of (-14)/6 - (-131750)/57300 and -97/8?
1528
Let a = 14 + -13. Let l = -49 + 53. What is the smallest common multiple of l and a?
4
Let r = -1427/2 - -697. Calculate the common denominator of r and -11/78.
78
Let p be ((-1)/2)/(1/(-6)). Suppose -c - 8 = -p*c. Suppose -3 - 2 = -2*y + g, 4*y + c*g - 40 = 0. Calculate the lowest common multiple of 2 and y.
10
Suppose 0 = -2*t - 53 - 13. Let b be (2 - -9)*(644/316 + -2). Let c = -4687/316 - b. Find the common denominator of t and c.
4
Calculate the common denominator of -11 - -5 - 984/(-147) and 163/126.
882
Let h = 693 - 535. What is the smallest common multiple of h and 20?
1580
Let w = -510791/42 - -12163. What is the common denominator of w and -131/126?
126
Suppose 2*b + 2*b - 40 = 0. Find the common denominator of (5/(-7))/(14/21) and ((-133)/(-27))/(b/15).
126
Let i = 7288/4081 + 12/371. Calculate the common denominator of -31/37 and i.
407
Let m = -98888/75 - -1318. What is the common denominator of m and 109/60?
300
Let g be 5/(-10) - (-25)/(-2). Let b = 49 + g. What is the lowest common multiple of b and -3 + 0 - (95 + -102)?
36
Let i = 9067/576 - -5/576. Let w be 3/9 - (-2 - (-849)/(-180)). Let v = w + -39/4. Find the common denominator of i and v.
20
Let a(u) = -u**3 + 14*u**2 - 15*u + 18. What is the least common multiple of 54 and a(12)?
378
Let h = 71 + -41. What is the smallest common multiple of (3 - 0)/(9/18) and h?
30
Let j(r) = -r**3 - 9*r**2 - 30*r + 28. What is the least common multiple of 19 | {
"pile_set_name": "DM Mathematics"
} |
t r = 3.02 + 0.38. Let f = -0.6 - r. What is the nearest to -0.4 in -0.4, f, m?
-0.4
Let r = -8 + 6. Let o = 49/5 + -10. What is the nearest to r in 5, o, -5?
o
Let m = 6.11 + -0.11. Let g = 5 - m. Which is the nearest to 0? (a) 4/9 (b) 0.3 (c) g
b
Suppose -d = -6*d. Which is the closest to d? (a) 3 (b) 0.1 (c) -1/2
b
Let z(q) = 6*q + 66. Let l be z(-11). Let h(m) = -m + 3. Let i be h(4). Which is the nearest to -5? (a) i (b) 5 (c) l
a
Let l = 101 - 304/3. Let s = -1.6 + -0.4. Which is the nearest to s? (a) -2/5 (b) l (c) -2
c
Let s = -9.1 - -9. Which is the closest to s? (a) -0.1 (b) 5 (c) 2/7
a
Let n = -11 - -12.8. Let t = n + -2. Let x(y) = y**2 - 5*y + 2. Let z be x(5). Which is the closest to -1/4? (a) z (b) t (c) 1/9
b
Suppose 0 = -5*n + 2*f + 19, -25 = -2*n - 3*n + 5*f. What is the closest to -1 in 0.5, n, -1?
-1
Let o = -8.4 - -8. Let c be -2 - 3*(-2)/(-6). What is the nearest to 0.1 in 1/11, o, c?
1/11
Suppose -3*i - 2*i = -270. Let s be i/42 - (2 + -1). What is the nearest to s in 5, 2/15, 0?
2/15
Let l = -1.12 - -0.12. What is the closest to 0.1 in -0.1, l, -3/7?
-0.1
Let k be (1/(-1))/((-6)/(-18)). Which is the nearest to 2? (a) k (b) 4 (c) -1/6
b
Let o = 3.12 + -3.4. Let p = 2.72 - o. Let y be (0 + -1)/((-4)/6). What is the nearest to p in y, -0.2, -4?
y
Let u = -0.15 + -0.75. Let j = 1 + u. Which is the closest to j? (a) -2 (b) 0.2 (c) -3
b
Let y = 117 + -117. Which is the nearest to 3? (a) y (b) -1 (c) 5
c
Suppose -5*q = -0*q - 40. Suppose 3 = -q*u + 7*u. Let t = -0.3 + 0.4. Which is the closest to t? (a) u (b) -4 (c) -0.3
c
Let j = -62 - -62.1. Which is the nearest to j? (a) 0.2 (b) 0.4 (c) 5
a
Let p be -4 + 9/6*(-8)/12. Which is the nearest to -0.5? (a) 0.1 (b) -4 (c) p
a
Suppose -4 = 4*i - 2*i. Let q = i + 7/2. What is the closest to 1/2 in 1, 4, q?
1
Let r = -226 - -909/4. Let u = -5 - -3. Which is the closest to -0.1? (a) 2/15 (b) u (c) r
a
Let l(o) = -2*o**3 + 9*o**2 - 6*o + 3. Let i be l(4). Which is the closest to -0.3? (a) 2/13 (b) i (c) -0.3
c
Suppose -4*l = -2*l - 6. Let f be 9/(-6)*(-4)/3. Let h = l - f. Which is the closest to h? (a) 1 (b) -1 (c) 5
a
Let m = 0.3 + 0.2. What is the nearest to 2/13 in m, -3, -2?
m
Let w(i) = -5*i**2 + 1. Let g be w(1). Let y = -11 + 11.2. Which is the closest to -3? (a) g (b) 4 (c) y
a
Let r = -0.0416 - 1.9684. Let q = r - -0.01. What is the closest to q in -2, -0.3, -3?
-2
Suppose 2*z + 4 = -2. Let o = -0.03 - -0.1. Let k = -0.07 + o. What is the nearest to k in z, -0.4, 2?
-0.4
Let s = -12.4 - -12.3. Which is the nearest to -1? (a) s (b) -1/4 (c) 39
b
Let f = -0.09 + 2.09. What is the closest to -0.1 in 0, f, 0.3?
0
Let m be ((-3)/9 - -1)*9/3. Which is the nearest to m? (a) 0.06 (b) 2 (c) -3
b
Let m be -12*(-3)/297*7. Let g = -2/11 + m. Which is the closest to g? (a) -0.1 (b) -2 (c) 3/7
c
Let u = 107/165 - -1/55. Let o(z) = -2*z + 7. Let y be o(5). Which is the nearest to 2? (a) y (b) 4 (c) u
c
Let q = -1.06 - -1. Let i = 0.16 + q. Which is the nearest to i? (a) 1/8 (b) 0 (c) -4
a
Let m be 2/15 + (-54)/180. Which is the closest to -2? (a) -3 (b) 1/3 (c) m
a
Let d = 0.1 + -5.1. Let n = 0.4 + -0.4. Let s = n - -1. Which is the nearest to s? (a) -4 (b) 3 (c) d
b
Let f = -0.2 - -0.2. Let z = -32 + 27. What is the nearest to f in 0, -1/7, z?
0
Let t = 5 - 7/2. Which is the nearest to -0.2? (a) -5 (b) 4 (c) t
c
Suppose 5 - 14 = 4*g + 3*w, 2*g + 2*w = -6. Which is the closest to 1/2? (a) g (b) 2/15 (c) 2/11
c
Let q = -0.333 - -0.033. What is the closest to q in 0, -0.1, -1/3?
-1/3
Let p = -0.6 + 1.01. Let s = -0.11 + p. What is the nearest to -0.3 in s, -1, 0?
0
Let x = 939/5 + -186. Let f = -17/15 + x. Which is the closest to 2? (a) 0.4 (b) f (c) -0.4
b
Let y be (-3)/15 - (27/(-10) - -2). What is the closest to y in 1/4, -3, 0.2?
1/4
Let j be (2*(-3)/(-6))/1. What is the nearest to j in -2/17, 0, 1?
1
Let f = 1157/7 - 165. Which is the closest to f? (a) 0.1 (b) 2 (c) 0.3
c
Suppose t = 5*t - 4. Let r = -2 + 3. Which is the nearest to r? (a) 0.2 (b) 1/4 (c) t
c
Let c = -1.3 - 4.7. Let y = c - -5.9. What is the nearest to y in 2/5, -4/3, -4?
2/5
Let v = 4785/16 + -299. Let b(q) = q**2 - 5*q + 2. Let t be b(5). What is the closest to v in 2/9, t, 1?
2/9
Let r = -34 - -32. Let y = -0.1 + 0.1. Let t = y + 0.3. Which is the closest to r? (a) t (b) 0.1 (c) 4
b
Let y be 25/10*(-1 + 3). What is the closest to 0.1 in 1/4, y, 1?
1/4
Suppose 5*r + 2*n - 6*n - 19 = 0, 0 = 4*r + 4*n - 8. Let w = 6.1 + -6. Which is the closest to -2/5? (a) r (b) w (c) 0
c
Let u = -0.52 + 0.52. Which is the closest to -0.1? (a) -2 (b) 2 (c) u
c
Let k = 15.8 + -11.8. Which is the nearest to 0? (a) k (b) -5 (c) -2
c
Let h = 16/21 + -2/21. Let s be (96/35)/((-2)/40). Let i = 55 + s. What is the closest to 1 in h, 5, i?
h
Let l be (3/(-2))/((-48)/160). Which is the nearest to 0.2? (a) l (b) -1 (c) 1/4
c
Let j be (2 - 32/6) + (-24)/36. What is the nearest to 1 in -4/5, j, -3?
-4/5
Let w(g) = -g + 11. Let x be w(12). Let m = 4 + -6. Which is the nearest to x? (a) 1/8 (b) -0.2 (c) m
b
Let q(p) = p**2 - 6*p - 6. Let k be q(6). Let j(v) = v**2 + 8*v + 6. Let d be j(k). Which is the closest to -0.1? (a) d (b) -1/4 (c) -5
b
Let g = -1/126 + -121/630. Let x = -0.8 + 1.02. Let y = x - -4.78. What is the nearest to 1 in g, -0.4, y?
g
Let j(y) = 2*y**2 - y - 1. Let v be j(-1). Let o = 0.06 + 0.44. Which is the closest to -1/4? (a) v (b) 1 (c) o
c
Let p = -126 + 130. What is the nearest to 1 in -12, p, -1?
-1
Let k be (-2)/(-10) + 63/(-165). Let v = -57/7 - -8. Let g = 88/3 + -29. What is the closest to g in v, k, 2/3?
2/3
Let g = -5 - -2. Which is the nearest to 3? (a) g (b) -0.5 (c) 1/6
c
Let j = 0.34 + -0.74. Which is the closest to 2? (a) 1 (b) -1/2 (c) j
a
Let h = -0.041 - 0.459. What is the nearest to -0.1 in -1, -2/5, h?
-2/5
Let f = 1.11 - 1.51. Suppose 0 = 5*m + 4*u - 22, 2*m - 7*m + 5*u = 5. Which is the nearest to m? (a) 5 (b) -4 (c) f
c
Let w = 199/4 - 50. Let x = -1 - 2. Let o = x - -2. Which is the nearest to o? (a) 0 (b) 0.2 (c) w
c
Let o be (-4 + -1)*16/20. Which is the nearest to 6/11? (a) -2/5 (b) o (c) 3
a
Let o be ((-8)/(-6))/(-4)*-2. Let x = 5.106 + -0.006. Let k = 5 - x. What is the closest to k in -1/5, 2, o?
-1/5
Let t = 6.649 - -0.051. Let q = t + -7. Which is the closest to 1? (a) q (b) 1 (c) 5
b
Let j = -0.3 - 1.7. Let s = 0.01 + -0.51. Let m = -0.04 - -0.44. Which is the nearest to -1/4? (a) m (b) j (c) s
c
Let q(w) = w**2 - 7*w - 10. Let r be q(7). Let s be ((-2)/r)/((-4)/(-30)). Let h = 1/59 - -51/472. What is the nearest to -2 in h, s, 0.5?
h
Let h(u) = 2*u - 30. Let l be h(13). Which is the nearest to 1? (a) l (b) 3 (c) 0.2
c
Let k be 20/35 - 2/7. Suppose -o + 4*q = -3*o + 16, 9 = -3*o + 5*q. Let j be (0 - 1)*(-5)/(-20). Which is the closest to k? (a) 0 (b) j (c) o
a
Suppose -3*v + 0*v + f - 16 = 0, 3*v + 5*f + 10 = 0. Let q = 9 + -5. What is the nearest to -1 in -1, q, v?
-1
Let x = 0.7 - 2.9. Let f = -2 - x. Let g = -0.1 - 0. Which is the nearest to f? (a) 3/5 (b) 2 (c) g
c
Suppose -i = -2 + 11. Let b be ((-6)/i)/(3/(-9)). Let h be (-2 - (1 - 4))*1. What is the closest to h in 2/5, 2, b?
2/5
Let s = -153 + 156.02. Let a = s + -0.02. Let o(b) = 3*b**2 - 5*b + 3. Let c be o(2). What is the nearest to -2 in 2, c, a?
2
Let o = -11 - -11.1. Let h = 2.9 + -3. What is the closest to h in 0, -0.5, o?
0
Let q = 20 - 20. What is the closest to 0.2 in 1/3, -4/3, q?
1/3
Let z = 1733885/78 - 22229. Let p = 1/26 + z. Let f = -0.17 - -0.47. Which is the nearest to p? (a) f (b) -4 (c) -2
a
Let g = 4 - 3.9. Let a = 2.4 + -12.8. Let d = 10 + a. What is the nearest to g in d, -1/7, -2/19?
-2/19
Let x = -819/10 - -82. Let g = 14 + -9. Let o be 1/3*4/(-6). What is the nearest to o in g, x, 2/11?
x
Suppose 0 = -0*n + n + 2. Let k be n + 0/1 + 3. Suppose -3*r + 27 = -4*v, -3*v + r - 10 = 4. Which is the nearest to k? (a) 4/9 (b) 1 (c) v
b
Let q = 4.7 - -0.3. Let m = -4.8 + q. Which is the nearest to -2/3? (a) 0.1 (b) m (c) 1
a
Suppose 3*j - 21 = -9. Suppose -3 = 2*m - 3*o, 3*o = -m + j*o. Let p be m - (45/4)/3. Which is the nearest to 1? (a) -2 (b) -3 (c) p
c
Let n(k) = k + | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 31 a factor of 2483162?
True
Does 25 divide 222596?
False
Is 86 a factor of 1351521?
False
Is 80 a factor of 162495?
False
Does 2 divide 56587?
False
Is 366 a factor of 644799?
False
Does 3 divide 38397?
True
Is 155 a factor of 218861?
False
Does 17 divide 1962760?
False
Is 95 a factor of 273290?
False
Does 255 divide 310443?
False
Is 1131450 a multiple of 57?
True
Does 204 divide 1573452?
True
Is 429715 a multiple of 11?
True
Does 279 divide 275439?
False
Is 30683 a multiple of 115?
False
Is 92064 a multiple of 48?
True
Does 745 divide 9822759?
False
Is 625 a factor of 145000?
True
Is 138339 a multiple of 20?
False
Does 34 divide 9634886?
True
Is 7 a factor of 1628455?
False
Does 403 divide 699166?
False
Is 10 a factor of 1347744?
False
Is 392273 a multiple of 20?
False
Is 176984 a multiple of 18?
False
Is 75020 a multiple of 44?
True
Is 125983 a multiple of 13?
True
Is 20 a factor of 2900960?
True
Is 677731 a multiple of 30?
False
Is 228 a factor of 4476636?
False
Is 46 a factor of 217241?
False
Does 225 divide 109575?
True
Is 55770 a multiple of 143?
True
Is 225262 a multiple of 59?
True
Is 4905568 a multiple of 37?
False
Is 4265070 a multiple of 15?
True
Does 8 divide 22768?
True
Is 1298 a factor of 1242186?
True
Is 231030 a multiple of 151?
True
Is 3050416 a multiple of 166?
True
Is 411 a factor of 516216?
True
Is 105 a factor of 1110264?
False
Is 10710 a multiple of 3?
True
Is 395 a factor of 200382?
False
Is 284739 a multiple of 91?
True
Is 1849940 a multiple of 12?
False
Is 6208646 a multiple of 1245?
False
Is 68030 a multiple of 7?
False
Does 84 divide 141133?
False
Is 174 a factor of 9344?
False
Does 7 divide 2298786?
True
Is 22 a factor of 40043?
False
Is 123 a factor of 85239?
True
Does 292 divide 6492851?
False
Is 172 a factor of 638016?
False
Does 121 divide 202528?
False
Does 397 divide 1016320?
True
Does 274 divide 1749094?
False
Is 218448 a multiple of 9?
True
Is 110 a factor of 323091?
False
Is 631968 a multiple of 348?
True
Is 566989 a multiple of 21?
False
Is 14 a factor of 101556?
True
Does 18 divide 680311?
False
Does 562 divide 4377466?
False
Is 1824 a multiple of 38?
True
Is 1098 a factor of 5399964?
True
Is 16 a factor of 71805?
False
Does 33 divide 4811037?
True
Is 176891 a multiple of 17?
False
Is 2 a factor of 551389?
False
Is 448 a factor of 117824?
True
Is 538 a factor of 3548847?
False
Is 56 a factor of 498053?
False
Does 54 divide 7317702?
True
Does 5 divide 155867?
False
Is 2400378 a multiple of 1747?
True
Is 11746 a multiple of 14?
True
Does 7 divide 13091?
False
Is 4 a factor of 7205?
False
Does 36 divide 609696?
True
Is 11 a factor of 79345?
False
Is 1116483 a multiple of 54?
False
Is 8 a factor of 22878?
False
Is 608220 a multiple of 436?
True
Is 40 a factor of 270740?
False
Is 5789628 a multiple of 417?
True
Is 5603033 a multiple of 61?
True
Is 418324 a multiple of 4?
True
Is 359 a factor of 184885?
True
Is 1668333 a multiple of 9?
False
Is 6188968 a multiple of 9?
False
Does 38 divide 204887?
False
Is 27 a factor of 29866?
False
Does 18 divide 2193804?
True
Is 69 a factor of 902727?
True
Does 905 divide 1087810?
True
Is 239505 a multiple of 105?
True
Is 1446 a factor of 4982916?
True
Does 843 divide 3886252?
False
Is 1829088 a multiple of 348?
True
Is 1674963 a multiple of 11?
False
Does 10 divide 10076?
False
Is 550487 a multiple of 17?
False
Is 78 a factor of 476658?
True
Is 30940 a multiple of 52?
True
Is 80 a factor of 1313600?
True
Is 2 a factor of 566730?
True
Does 61 divide 215696?
True
Does 56 divide 1087800?
True
Is 2006940 a multiple of 498?
True
Is 271 a factor of 61246?
True
Does 104 divide 3329768?
True
Does 56 divide 345016?
True
Is 23470 a multiple of 3?
False
Does 310 divide 10458470?
True
Is 1848631 a multiple of 26?
False
Does 14 divide 249201?
False
Is 2270884 a multiple of 166?
False
Does 121 divide 11315355?
False
Is 61 a factor of 874618?
True
Is 9 a factor of 220788?
True
Is 64 a factor of 345511?
False
Does 77 divide 160776?
True
Is 13 a factor of 248421?
False
Is 411860 a multiple of 4?
True
Is 18522000 a multiple of 630?
True
Does 9 divide 45180?
True
Is 30251 a multiple of 13?
True
Is 10977005 a multiple of 156?
False
Does 66 divide 203412?
True
Is 27 a factor of 381891?
False
Does 52 divide 3370224?
True
Is 5 a factor of 9720?
True
Is 2 a factor of 308737?
False
Is 8262 a multiple of 61?
False
Does 416 divide 7737306?
False
Is 913115 a multiple of 931?
False
Is 297560 a multiple of 173?
True
Is 165642 a multiple of 181?
False
Is 973350 a multiple of 150?
True
Does 272 divide 322048?
True
Is 127004 a multiple of 9?
False
Is 213 a factor of 264482?
False
Does 213 divide 25635828?
True
Is 32530 a multiple of 10?
True
Is 21 a factor of 3401133?
False
Is 118663 a multiple of 7?
False
Does 5 divide 2113578?
False
Is 157 a factor of 489997?
True
Does 21 divide 242718?
True
Does 136 divide 116662?
False
Is 87 a factor of 50547?
True
Is 182 a factor of 3173288?
False
Is 152 a factor of 97550?
False
Is 30 a factor of 188670?
True
Is 1680 a multiple of 12?
True
Is 44 a factor of 983073?
False
Is 424925 a multiple of 23?
True
Does 61 divide 66405?
False
Is 437813 a multiple of 29?
True
Is 223400 a multiple of 40?
True
Does 98 divide 92352?
False
Does 385 divide 49968?
False
Is 83258 a multiple of 203?
False
Is 13 a factor of 374645?
False
Is 108283 a multiple of 388?
False
Is 383360 a multiple of 8?
True
Does 14 divide 8461544?
True
Is 9 a factor of 466200?
True
Is 547310 a multiple of 239?
True
Is 405 a factor of 164593?
False
Does 413 divide 15034439?
True
Does 400 divide 4297200?
True
Is 128 a factor of 307070?
False
Is 122 a factor of 92331?
False
Is 399087 a multiple of 192?
False
Is 200 a factor of 162600?
True
Is 840 a factor of 3507878?
False
Is 541 a factor of 2142901?
True
Is 987624 a multiple of 172?
True
Is 1280 a factor of 18551040?
True
Is 177 a factor of 8142?
True
Does 7 divide 364120?
False
Does 1154 divide 5326864?
True
Is 210056 a multiple of 28?
True
Is 45 a factor of 251420?
False
Is 5279700 a multiple of 310?
False
Is 146 a factor of 3645907?
False
Is 334 a factor of 19488?
False
Does 10 divide 345530?
True
Is 2576629 a multiple of 103?
False
Does 29 divide 1635359?
False
Is 90182 a multiple of 121?
False
Is 5614500 a multiple of 25?
True
Is 5659853 a multiple of 1271?
False
Is 50 a factor of 1254317?
False
Is 47 a factor of 4363339?
True
Does 28 divide 6440?
True
Does 22 divide 300344?
True
Is 18 a factor of 58093?
False
Does 481 divide 122655?
True
Is 368212 a multiple of 22?
False
Is 2805443 a multiple of 93?
False
Does 271 divide 447421?
True
Does 10 divide 260590?
True
Is 376090 a multiple of 55?
True
Is 692788 a multiple of 386?
False
Is 395640 a multiple of 60?
True
Is 184084 a multiple of 8?
False
Is 667102 a multiple of 43?
True
Is 50 a factor of 85626?
False
Does 231 divide 140569?
False
Does 11 divide 84304?
True
Does 147 divide 886236?
False
Is 80117 a multiple of 113?
True
Is 189 a factor of 2281797?
True
Is 101 a factor of 10722014?
False
Does 149 divide 128596?
False
Is 22 a factor of 355938?
True
Is 20 a factor of 128680?
True
Is 1449375 a multiple of 25?
True
Does 70 divide 1715700?
True
Is 539941 a multiple of 37?
True
Is 2749911 a multiple of 123?
True
Is 955620 a multiple of 4?
True
Is 95 a factor of 6285712?
False
Is 681208 a multiple of 17?
False
Does 292 divide 725036?
True
Is 11874 even?
True
Is 120 a factor of 1223150?
False
Is 16 a factor of 256?
True
Does 66 divide 109981?
False
Does 120 divide 21960?
True
Is 170496 a multiple of 96?
True
Is 3630 a multiple of 30?
True
Does 130 divide 175240?
True
Is 2684416 a multiple of 8?
True
Does 37 divide 9731?
True
Does 21 divide 2966223?
False
Does 377 divide 680461?
False
Is 18 a factor of 12485228?
False
Is 15 a factor of 52422?
False
Does 1423 divide 21200443?
False
Is 12 a factor of 1248?
True
Is 453781 a multiple of 95?
False
Is 627837 a multiple of 91?
False
Is 280126 a multiple of 22?
True
Does 45 divide 114120?
True
Is 42 a factor of 75096?
True
Is 6 a factor of 40830?
True
Does 255 divide 555390?
True
Does 542 divide 237384?
False
Does 948 divide 8406864?
True
Does 34 divide 63546?
True
Is 3 a factor of 24861?
True
Is 462 a factor of 320913?
False
Does 144 divide 2432700?
False
I | {
"pile_set_name": "DM Mathematics"
} |
1)*f)*f))/(f*f*f*f*f/(f/((f/(f*(f*(f/(f**12/f))/f)/f*f))/f)))*f**2*f**4/f*f*f*f assuming f is positive.
1/f
Simplify ((m**(-4)/m)/m)**31/(m**7/m*m*(m/(m/(m**11*m)))/m) assuming m is positive.
m**(-204)
Simplify (d/(d*d*d/(d*d**(-2))))**(-1/18)/((d/((((d**15*d)/d*d)/d)/d))/(d*d**(6/11))) assuming d is positive.
d**(971/66)
Simplify (m**(2/7)/m*m)**(4/15)/(m**(-1))**(1/23) assuming m is positive.
m**(289/2415)
Simplify f**(2/3)*f**(-6/5)*f*(f**(-1/4)*f)**(2/115) assuming f is positive.
f**(331/690)
Simplify v**(-16)*v**14/v*(v**(2/11))**(-3/35) assuming v is positive.
v**(-1161/385)
Simplify ((q/(q/(((q*q**(-1/2)/q)/q)/q))*q/(q*q/q**(5/7)))**47)**(-9/7) assuming q is positive.
q**(16497/98)
Simplify (u/u**(-2/37))/(u*u/(u**6*u)*u)*(u/u**0)/(u**(-2/15)/u) assuming u is positive.
u**(3989/555)
Simplify (b**(-2/17))**(-34)*b*(b**3/b)/b*b*b**(3/11)/b assuming b is positive.
b**(69/11)
Simplify (i/(((i/((i/(i/(i*i**(-9))))/i*i))/i)/i)*i**(3/10))/(i/i**(-1)*i**(-2)) assuming i is positive.
i**(-57/10)
Simplify (a/(a/(a**(-1/18)*a*a)))/(a**(-16)*a)*(a**(-7/6)*a)**33 assuming a is positive.
a**(103/9)
Simplify ((i*i**(1/4))/i**(-2/19))/(i**(-15/4)/(i/(i/i**(-2/53)))) assuming i is positive.
i**(5103/1007)
Simplify ((b*b/(b**(1/13)/b)*b)/(b/((b*b*b*b**(-18)*b*b*b*b)/b)))/(b*b*(b**(-5/6)*b)/b*b*b/(((b/(b/b**(-3/20))*b)/b*b)/b)) assuming b is positive.
b**(-9667/780)
Simplify (((c*c/c**(-1/2))/c)/c)/(c/c**(-1))*(c**1)**35 assuming c is positive.
c**(67/2)
Simplify ((v/v**20)/v)/v**(3/14)*v**4/((v/v**11)/v) assuming v is positive.
v**(-73/14)
Simplify (p**(-6/11)/p)**(-4/13)/(p**(3/4)*p**17*p) assuming p is positive.
p**(-10453/572)
Simplify ((o*o**(2/3)*o)/o*o**7*(o/(o/(o/(o*o**(2/35)))))/(o/o**(-8)))**(4/9) assuming o is positive.
o**(-164/945)
Simplify (f**1)**(17/4)*((f*f/(f**(1/5)*f))/f)**(-27) assuming f is positive.
f**(193/20)
Simplify (g**(1/2))**(4/5)*g**(-1/3)*g/(g/g**(-1/5))*g assuming g is positive.
g**(13/15)
Simplify (h*(h*(h/(h/(h/h**(-3/2))*h))/h*h)/h)**(3/11)/(h**4)**3 assuming h is positive.
h**(-249/22)
Simplify (((b/b**1)/b)/b)**12*(b**(-7)/b)/b**(-4) assuming b is positive.
b**(-28)
Simplify (h*h/(h*h*(h/h**29)/h)*(h*h*h**(-23))/h)/(h**12/(h/(h/h**(-8)))) assuming h is positive.
h**(-13)
Simplify ((f/(f*f/f**(-2/23)))/f)/f**(1/2)*(f**(-2))**41 assuming f is positive.
f**(-3891/46)
Simplify (c**(-5))**(-5/11)*c**(-1/6)/(c*c**(-2)*c) assuming c is positive.
c**(139/66)
Simplify ((j**5/j*j**(-2/39))**(-3/13))**33 assuming j is positive.
j**(-5082/169)
Simplify ((((m**1/m)/m)/(m/m**5*m))/(m**(-2))**12)**(16/9) assuming m is positive.
m**(416/9)
Simplify ((b/(b*b*b**13))/b**(10/9))/(b**3/b*b**8) assuming b is positive.
b**(-226/9)
Simplify (a**(-5)*a)**(1/82)/(a**29*a/a**(-1/5)) assuming a is positive.
a**(-6201/205)
Simplify ((o**3*o*o**(-1/3)*o)/(o*(o/(o**(-1/3)/o))/o)**(1/10))**(2/145) assuming o is positive.
o**(133/2175)
Simplify ((k**8*k*k/(k*(k/(k/(k/k**(-1/12))))/k)*k)**(-2/43))**(-2/39) assuming k is positive.
k**(119/5031)
Simplify ((v*v**(-2)/v)**41/((v**(-10/3)/v)/v**(-5)))**(5/8) assuming v is positive.
v**(-155/3)
Simplify ((u*u/(u/(u/((u**(-1/2)/u)/u))))**(-45)/(u*u**(3/5)*u*u/(u/u**(-7)*u*u)))**0 assuming u is positive.
1
Simplify (z**(2/5))**12/((z/z**3)/((z/(z/z**(-3/4)))/z*z*z)) assuming z is positive.
z**(141/20)
Simplify (((u**(-13)/u)/u)**39)**(3/19) assuming u is positive.
u**(-1755/19)
Simplify (((w/(w*w*w*w/(w*w*(w**(-1)/w*w)/w)))/w)/w*w/((w**(-1/7)*w)/w)*(w*w**(-1/5))**(2/23))**(-2/27) assuming w is positive.
w**(6098/21735)
Simplify (i/(i/i**(-23))*(i**4*i)/i)/(i**(-4)/i*i*i/(i/((i**(-1/9)*i)/i)*i*i)) assuming i is positive.
i**(-116/9)
Simplify (y**1)**(3/5)/(y/(y/y**(4/3)))**(-1/6) assuming y is positive.
y**(37/45)
Simplify ((c**(4/5)*c)**(-1/37))**(2/23) assuming c is positive.
c**(-18/4255)
Simplify a**11/(a/a**(-4))*(a/a**11)/(a*a**10) assuming a is positive.
a**(-15)
Simplify ((s/(s**26/s)*s)/s*s)/s**39*s**12*s**(-41)/s assuming s is positive.
s**(-92)
Simplify m**(-6/5)/(m**(3/4)*m)*m**(-1/17)/(((m*m/m**(-10)*m)/m*m)/m) assuming m is positive.
m**(-5103/340)
Simplify (a*a*a**18)/a**(-8)*a**(-2/43)/a**11 assuming a is positive.
a**(729/43)
Simplify (k*k**(-2/11)*k)**(2/61)/((k*(k**(-7)*k)/k)/k**(-2/11)) assuming k is positive.
k**(3944/671)
Simplify (d**8*d)**39*d**(1/31)/d**(-2) assuming d is positive.
d**(10944/31)
Simplify (k/((k**12*k)/k*k)*k/k**(2/27))/(k*k/(k/(k**(1/5)/k))*(k/k**(2/35))/k) assuming k is positive.
k**(-2120/189)
Simplify t**(-11)/(t*t/((t*t**(5/8)*t)/t))*t*t/t**(-3/16)*t*t*t**24 assuming t is positive.
t**(269/16)
Simplify (v/(v/((v*(v/(v*v*v/v**(2/11))*v)/v)/v)))**(-3/25)/(v**0)**(-1/55) assuming v is positive.
v**(12/55)
Simplify (x**(3/20)*x**11)/(x**(-3/10)*x**0/x*x*x) assuming x is positive.
x**(209/20)
Simplify (s**(-3))**(-12/11)*(s/((s*s*s**(-3/2)*s)/s))**41 assuming s is positive.
s**(523/22)
Simplify (((i/((i**(-1/4)*i)/i))/i)**(-1/13)*i**2/((i/(i/i**(1/13)*i*i))/i))**50 assuming i is positive.
i**(6375/26)
Simplify (t*t/t**(-14))**(-3/23)/(t/(t/t**(4/25))*t**5) assuming t is positive.
t**(-4167/575)
Simplify (x/(x/(x*x*x/x**22)))**(3/7)*(x**(-2/9))**(-2/11) assuming x is positive.
x**(-5615/693)
Simplify (((h*h**(-10)*h)**(2/3))**(-34))**20 assuming h is positive.
h**(10880/3)
Simplify (b*b*b**(2/43)*b)/b*b/(b**(2/29)/b)*b/(b/b**(-7/5)*b)*b*b*b**9*b assuming b is positive.
b**(84656/6235)
Simplify (b/(b**(-11)*b)*b**(-1/4))/((b**(-14)/b)/b**6) assuming b is positive.
b**(127/4)
Simplify ((w/((w*w**(-4)*w)/w*w))/w)**(-45)*w/(w*w**(-4/13)*w*w)*(w**13/w)/w assuming w is positive.
w**(-1049/13)
Simplify ((f/((f*f**(4/3)*f)/f)*f/(f*(f*f/(f*f**(-4)))/f))/(f/(f*f/(f*f**(-1)*f)*f)*f)**(-3))**(-1/44) assuming f is positive.
f**(4/33)
Simplify (o/(((o/o**(18/5))/o*o)/o))/(o*o*o*o**(-18)/o*o*o*o)*o*o*o**29/o*o**(3/16) assuming o is positive.
o**(3823/80)
Simplify ((r*r**(-2/11))/r**(-4/7))/((r**(-6/11)/r)/(r/(r*r*(r/r**(-2/9))/r))) assuming r is positive.
r**(1187/693)
Simplify (r**12/(r/r**(1/14)))**(10/3) assuming r is positive.
r**(775/21)
Simplify (((z*z/(z*z/z**(1/3)))**(5/3))**32)**(3/4) assuming z is positive.
z**(40/3)
Simplify (n*n/n**(2/13)*n*n*n)**10/(n*n**(-1/25)*n**(-2/37)) assuming n is positive.
n**(571856/12025)
Simplify ((a*a*a*a*a**(-35)*a*a)/a**5)/(a**(-1)*a*a**(-4/9)) assuming a is positive.
a**(-302/9)
Simplify ((m**(-1/9)/m**(6/5))/((m**(-1/3)/m)/m)**42)**(-34) assuming m is positive.
m**(-147934/45)
Simplify (o**10)**(-1/5)*(o/(o/(o*o/(o**(-1/9)/o)))*o)**(6/17) assuming o is positive.
o**(-28/51)
Simplify (m*m**23*m/m**28)/(m/m**(-24))**(8/17) assuming m is positive.
m**(-251/17)
Simplify (i*(i**(-2/37)/i)/i)/i*i**(-11)*(i**(-1))**(-49) assuming i is positive.
i**(1330/37)
Simplify (l**13*l)**35*l**0*l/((l*l**(-2/9))/l)*l assuming l is positive.
l**(4430/9)
Simplify ((s**(2/5)*s*s)**(-11)*(s**(-2))**(5/8))**(2/7) assuming s is positive.
s**(-79/10)
Simplify ((u/u**(1/3))**18*(u/(u*u**(-1)))**0)**19 assuming u is positive.
u**228
Simplify ((s*(s/(s/(s*s**(-7)*s))*s*s)/s*s)/(s*((s/(s**(1/6)*s))/s)/s))/(s**(-7))**43 assuming s is positive.
s**(1801/6)
Simplify (s**10)**45/(s**1/((s*s*(s*s*(s**(-6/5)*s)/s*s)/s*s)/s)) assuming s is positive.
s**(2259/5)
Simplify (x/x**(-1/8)*x*x**(-4))/(x*((((x*x**(-12)*x)/x)/x)/x*x)/x*x**(1/6)) assuming x is positive.
x**(239/24)
Simplify ((n*n**(-2/3)*n*n)**15/(n/(n*n/n**(2/7)))**(-28))**41 assuming n is positive.
n**615
Simplify w**(-2/9)*(w/((w**6*w)/w))/w*w/w**(-8/3)*w**(8/7) assuming w is positive.
w**(-89/63)
Simplify (((v*v/(v/(v*v**(1/11)/v)*v)*v)/v)/v)**(2/3)*(v/(v*v**(-9/7)*v*v)*v)**21 assuming v is positive.
v**(178/33)
Simplify ((h/h**0)**(-4/5)*((((h*h*h**(9/2)*h*h)/h)/h)/h)/(h/(h/(h/(h/(h**(-8)*h*h)))*h)*h*h))**(2/85) assuming h is positive.
h**(97/425)
Simplify (c**(1/32)*c*c/c**(-27))**(-8) assuming c is positive.
c**(-929/4)
Simplify h*(h/(h/h**(1/5))*h)/h*h/h**(1/5)*h**(2/31)/(h*(h/(h/(h*h**5/h)*h))/h) assuming h is positive.
h**(-60/31)
Simplify (d/d**(-5))**41*(d**3*d)**(-2/13) assuming d is positive.
d**(3190/13)
Simplify (((j**6*j)/(j*j*j*j*j*j**(-6)*j))**(1/12))**(-36) assuming j is positive.
j**(-21)
Simplify (((n**(2/49)/n)/n)/n**(-3))**13 assuming n is positive.
n**(663/49)
Simplify j**(1/37)*j*j*j**(-1 | {
"pile_set_name": "DM Mathematics"
} |
788*m + 785*m, 21 = -5*p - m for p.
-4
Solve -32 = 2*q - 1028*z + 1032*z, -3*q - 16 = -2*q - 4*z for q.
-16
Solve -3*o + v + 183 = 149, -2*o = o - 4*v - 22 - 15 for o.
11
Solve 6*f = -5*k - 19 - 232, 0 = -3*f + 8*k + 79 - 194 for f.
-41
Solve 0 = 4*k - 5*f + 35, 0*k - 5*f + 710 = 5*k + 720 for k.
-5
Solve -4*l + 6 = 5*k - 38, 5*k + 5*l - 11611 = -11551 for k.
-4
Solve u - 3*u = 54*z + 62*z - 106*z + 18, -5*z = -3*u - 47 for u.
-14
Solve 24*h - 2*d = -18*h + 52*h + 458, 0*h + 2*d + 188 = -4*h for h.
-45
Solve -3*g - 6787 = -r - 6742, 2*r + 140 = -109*g for g.
-2
Solve -2491*f + 2479*f = 4*b + 24, -4*b = -2*f - 18 for b.
3
Solve -g = 0, -23*y - 10*g = -12*y - 341 for y.
31
Solve -t + 18 = 4*v, -518*v + 523*v = 15*t - 10*t - 40 for t.
10
Solve -140 = -2*t + 4*t - 19*o, 12*o + 9*o - 138 = -12*t + 17*t for t.
6
Solve -g + 380 - 392 = 4*h, -5*h = 15*g - 11*g + 48 for g.
-12
Solve 195*w + 84 = 2*c + 199*w, -157*c - w = 2*c + 613 for c.
-4
Solve 6 = 4*z + 18, -2*z + 3*z = -0*j - 11*j - 5*j + 77 for j.
5
Solve -16 = g + i, 0 = 5*i - 306255 + 306320 for g.
-3
Solve 18*k + 40 = -2*z - 177 - 25, 103*z - 99*z - 34 = k for k.
-14
Solve 37*l + z = -19*l + 59*l + 37, 2*z + 21 = -13*l for l.
-5
Solve 2*c = 3*n - 79, 155*c - 150*c + 145 = -3*n for c.
-32
Solve 53*v - 58*v - 5*g + 405 = 0, -2*v + 0*v - 3*g + 161 = 0 for v.
82
Solve h = -2*c - 80, 9*h - 4*c - 48 = 90 for h.
-2
Solve 41 = -3*i + 4*f + 4*f, -228*i = -225*i - 5*f + 20 for i.
5
Solve -211*v - 17 = -209*v + 3*o - 7*o + 5, 22*v - 5*o = -47 for v.
-1
Solve -4221995*o + 36 = 3*z - 4221996*o, -5*z + 2*o = -67 for z.
5
Solve 1985*x - 79 = 5*s + 1987*x, 3*s = -3*x - 105 for s.
-3
Solve -228*g - 2*p = -232*g - 2, 17*g + 168*p - 1528 = 36*g - 23*g for g.
4
Solve j + 25 = 3*o, 36*o - j = 17*o + 21*o - 25 for o.
10
Solve 12*a + 3*a + 69 = 10*a + 2*o, 0 = 3*a + o - 51 for a.
3
Solve 107 = -2*l + j, -1915*l - 4*j - 58 = -1914*l for l.
-54
Solve -4*a = -60, 0 = -m + 2*m - 15*a - 4*a + 411 - 122 for m.
-4
Solve 2*i + i - 473*q - 474*q + 951*q = 22, -8*i + 4*q = 44 for i.
-2
Solve 3*j - 2949189*z - 16 = -2949193*z, -2*z = 4*j - 8 for j.
0
Solve -g + r + 14 = -g, 116*g + 114*g = 229*g + 4*r + 60 for g.
4
Solve 21*x = 3*f + 6, 0 = 8*x - 9*f + 5*f - 8 for x.
0
Solve -3*r + 43 = 4*x, r - 13*x = 9609131 - 9609217 for r.
5
Solve 5*w + c + 0*c - 3 = 4*c, 2*w = 58*c + 342 for w.
-3
Solve -153*x - 18 = -155*x - 2*a, 2*x + 51*a - 243 = 5*x for x.
4
Solve 11*u + 189 = 6*u - 16*a + 20, -4*u = 2*a + 146 for u.
-37
Solve 176980 = 2*r - 40*f + 176832, 0 = 5*r + 5*f + 50 for r.
-6
Solve -6*g - 60 = i - 105, 4*i - 164 = -3*g + 62 - 67 for g.
1
Solve k + 4*w = 38, -k - 74*w - 78*w - 52 = -157*w for k.
-2
Solve 10*c + 4*r - 3*r - 170 = 0, -c = 9*r + 45 - 62 for c.
17
Solve 0 = 2*m - j + 15, 5*m + 76*j - 69*j - 4*j = -32 for m.
-7
Solve -19*c + 18*c + 91*y + 1547 = 0, 27 - 4 = 4*c - 2*y - 11 for c.
0
Solve 5*f + 59*k - 541 = 0, -5517*k + 2 + 14 = -f - 5515*k for f.
2
Solve -165*s - 4 = 2*r - 169*s, -7*s = -4*r - 6 for r.
2
Solve -8715 - 8736 = u + 3*k - 17477, -3*k + 3 + 3 = 6*u for u.
-4
Solve 4*k - 4*q - 256 = 0, 5*k - 1647*q - 324 = -1644*q for k.
66
Solve 0 = 2*c - 4*h - 30, -c + 13*h + 2*h + 23 = 12*h for c.
-1
Solve -4*p + 25 = x, -776*x + 780*x - 2*p = -26 for x.
-3
Solve -a - 541*w + 536*w + 11 = 0, 5*a - 5 = 20*w + 5 for a.
6
Solve 4*l + 3*q = -0*l - 4, -11 + 15 = -4*l + 4*q for l.
-1
Solve -48 = -0*r - 4*r - 2*p, 167*r - 165*r - 68 = -3*p for r.
1
Solve 3*v - 5*w = 12 - 31, -2*w + 7 = -4*v + w for v.
2
Solve 0 = 13*m - 4*z + 8*z + 215414 - 215395, -m + 3 + 6 = -z for m.
1
Solve 262457*z - 34 = 262462*z + 3*b, -5*b - 67 = -2*z for z.
1
Solve 0 = -33*v + 92 + 7, -2*v = h - 4*v + 3 for h.
3
Solve 27*i - 23*i = -2*l + l + 84, -292 = -4*i - 53*l for i.
20
Solve 0 = -29*g - 3*p - 81, 2*p - 10 = -64*g + 66*g for g.
-3
Solve 8*q + 2*q = -6*c - q + 161, -96 = -4*c + 4*q for c.
25
Solve -26*i - y + 50935 = 50392, 0 = -4*i + 2*y + 90 for i.
21
Solve 0 = -4*q - 4, 6*z - 26*z + 279 = 7*q - 3*q - 97 for z.
19
Solve 93*q = -142 - 230, -4*h + 4*q - 2 + 1 = 3 + 4 for h.
-6
Solve -48 = 4*p - 12*s, 10086*p = 10089*p + 12*s + 99 for p.
-21
Solve -j + 4*q + 3678 = 3606, 3*j + 5*q = -90 for j.
0
Solve -3*f + 0*f + 3*f - 115 = 24*c - 19, -5*f + 5*c = -11 + 31 for f.
-8
Solve 13*m + 8*m + 2 - 14 = -4*y + 25*m, -42*y - 2*m + 38 = 0 for y.
1
Solve 3*c + 61 = -2*k, -37545*c - 231 = -37534*c for k.
1
Solve -1509495 + 1509266 = 4*f + 5*x, -6*f - 271 = -7*x for f.
-51
Solve -1377*o + 1373*o = 3*z + 74, -32*z - 714 = 5*o for z.
-22
Solve 4*u + 1 - 132 = -3*i, -56 - 76 = -3*u - 3*i for u.
-1
Solve -2*q = -3*q + 2*z + 22, 0 = q - 1731*z + 1733*z - 10 for q.
16
Solve -12*w - 22 - 129 = -67*f + 5, -3*f - 3*w - 52 = w for f.
0
Solve 2*c = 3*q + 4, -2*q - 26 = 2*q + q - 6 for c.
-4
Solve 3*j + 2*j = -2*k - 7, -3*k + 41664*j = 41663*j - 15 for k.
4
Solve 6*h - h = -38*n + 35*n - 114 + 155, 6*n = 4*h + 110 for n.
17
Solve -9*n + 2*f = -13*n + 14, 0 = -15*n + 4*f + 4*f - 87 for n.
-1
Solve 4*u - k = -2*k - 17 + 13, 3*k - 27 = u for u.
-3
Solve -2*i = -5*h + 21, 3120 = -73*i - 3*h + 2910 for i.
-3
Solve -x + 8 = 2*p + 2, 54 - 29 = -26*p + 91 + 64 for x.
-4
Solve -7255*r - 16 = -7249*r - 2*f, -7*r + 3*f = 18 for r.
-3
Solve 2*k + s = -16, -21 = 5*k + 38147*s - 38154*s for k.
-7
Solve b = -7*k - 31, k = -5*b + 217 - 202 for k.
-5
Solve -130*j - 19 = -132*j - 5*q, 19*j + 11*q = -2 for j.
-3
Solve -r + 38 = 17*g, 313*r - 2*g - 4*g = 313*r - 44 + 32 for r.
4
Solve 5*f - 25 = -2*w, -33*f + 64*f + 2*w - 15 = 28*f for f.
5
Solve 0 = 22*w - 309 + 111, -2*w + 78 = -30*m for m.
-2
Solve -6900 = 300*r, 3*s + 1103*r = 6*s + 1107*r + 107 for s.
-5
Solve -i + 6*i + 7*z = 7, 76*i - 4 = 81*i - 4*z for i.
0
Solve 2*p + 39*m + 226 = 0, -4*p + 7*p + 12 - 2 = -4*m - 2 for p.
4
Solve 3*k + 16*u + 144 = 11*u, -15*k + 192 = -19*k - 3*u for k.
-48
Solve -28*c + 24*c + 4*y = 273 - 465, 26*c + 342 = -4*y for c.
-5
Solve n = 13*n - 27 - 21, -i = -4*n + 20 for i.
-4
Solve y - 22*v = 4*y + 41 + 12 + 50, -24 = 4*y + v for y.
-5
Solve 115 = -25*a - 3*w, -9*a + w - 10 + 27 = -12*a for a.
-4
Solve 32 = k - 2*o, -2*k + 3*k = -672*o + 678*o + 96 for k.
0
Solve 503*c = 499*c - 9*r + 30, -5*c = 3*r - 6*r - 66 for c.
12
Solve -25*u - 2*o - 78 = o, -644094*u + 644090*u - 3*o = 15 for u.
-3
Solve 16483*b + s - 100 = 16486*b, 0 = 2*b + 2*s + 72 for b.
-34
Solve 8*c = 58*h - 55*h + 24*c - 58, 4*c - 18 = -2 for h.
-2
Solve -12533*x + 12529*x - 2*z - 38 = 0, -4*x = -z + 11 for x.
-5
Solve 26*j = 2*h - 132, 4*j + 12821*h + 21 = 12822*h for j.
-5
Solve 20 = -4*x + 3*c, -63054*x + 63056*x = 3*c - 28 for x.
4
Solve -22*y - 18*q + 5*q + 5*q = -3*q + 171, 4*q + 78 = 2*y for y.
-3
Solve -35*p + 3*s - 268 = 0, -3*p + 206*s - 40 = p + 208*s for p.
-8
Solve m = 4*p + 37, -83 = 64*p - 50*p + 2*m + 63 for p.
-10
Solve -299*v - 3*a - 25 = -300*v, 0 = -v + 2*a + 22 for v.
16
Solve -4*c = 2*q + 94, c = 25765*q - 25752*q - 91 for q.
5
Solve 22*g - 251*g = 5*f + 1623, -f - f - 14 - 4 = g - 3 for g.
-7
Solve 2*i = h + 67, 81118*i - 201 = 3*h + 81122*i for h.
-67
Solve 28*o - 5*p - 132 = 0, 0 = -0*o - 2*o + 4*p + 310 - 286 for o.
4
Solve -8 = -2*q + 3*a, 218*q + 288 = 192*q - 5*a + 40 for q.
-8
Solve 0 = n - 12*u - 145 + 99, -14*u = -2*n + 72 for n.
22
Solve 10*i - 12 = 13*i + 15*h - 18*h, -59*h = -151*i + 149*i + 106 for i.
-6
Solve 220 = -25*r - 6*x, -4*r = 3*r - 4*r - x - 7*x + 70 for r.
-10
Solve 5*m = 9*s - 402, -3*m - s + 139 = -2*s + 415 - 48 for m.
-75
Solve 4*c + 3776 = 2*g + 3714, 60 = -4*c + 4*g for c.
-16
Solve 10 - 32 = -5*y - 11*s + 2, -3*y - 2*s + 19 = 0 for y.
7
Solve 5*d + 7*v = 37, -8*d - 327927*v = -5*d - 327925*v - 9 for d.
-1
Solve -12*m - 5*o + 16 = -28, -5*m - 4*o + 19255 = 19229 for m.
2
Solve -181964*v - s = -181960*v + 19, -3*s = -6*v - 33 for v.
-5
Solve -38 = o - 531728*t + 531724*t, 3*o - t = -169 for o.
-58
Solve -4*l - 23*a + 19*a + 244 = 0, 3*a - 26 = -2*l + 98 for l.
59
Solve -124*v = -2*z + 1368, 4*v - 14 = -5*z - 0 - 48 for z.
2
Solve 13*j = 6*w - 72, -45*j + 46*j + 8 = -2*w for j.
-6
Solve 16871 - 17190 = -3*t + 11*v, 3*t - 696 = 24*v for t.
0
Solve 4*u - 37 = 647*k - 652*k, 918 = 102*k for u.
-2
Solve -18*v + 4*g + 6*g - 124 = 6*g, 7*v = 2*g - 46 for v.
-8
Solve 0 = -4*o - l - 4, -4745*o | {
"pile_set_name": "DM Mathematics"
} |
se
Is 303115537 a composite number?
False
Is 82685474167 prime?
True
Is 132213797 composite?
False
Is 50345320301 a composite number?
False
Is 1283414761 a prime number?
True
Is 68536399553 a prime number?
False
Is 210154979 composite?
True
Is 152280057 a prime number?
False
Is 1534506287 a composite number?
True
Is 92007028733 composite?
False
Is 31848204669 prime?
False
Is 361890653 prime?
False
Is 25214866979 a composite number?
True
Is 10575085337 composite?
True
Is 1937162111 a composite number?
False
Is 118823419537 prime?
True
Is 71906076107 prime?
True
Is 120063733711 composite?
True
Is 22395107551 prime?
True
Is 698615747 composite?
False
Is 51806674043 a prime number?
True
Is 13179045889 prime?
False
Is 370695113 a composite number?
False
Is 61748902783 a composite number?
True
Is 2634171283 prime?
True
Is 248996503753 a composite number?
True
Is 2127025883 prime?
True
Is 243053599 prime?
True
Is 271747087 composite?
False
Is 4794233659 a composite number?
True
Is 112071121703 a prime number?
False
Is 62679979 a prime number?
False
Is 13896752801 composite?
False
Is 23587042957 a prime number?
True
Is 442244609 a composite number?
True
Is 1296618878 a composite number?
True
Is 98971945841 a composite number?
False
Is 30585750629 composite?
True
Is 9883693447 composite?
False
Is 1262346487 prime?
False
Is 1138768133 a prime number?
True
Is 1437697879 a prime number?
False
Is 122054081033 a composite number?
False
Is 40515808477 a prime number?
True
Is 21483467779 prime?
False
Is 30073643059 prime?
False
Is 27062189281 composite?
False
Is 2883232621 prime?
False
Is 71186429 prime?
False
Is 6063597867 a prime number?
False
Is 87440862517 a composite number?
False
Is 829073101 a prime number?
False
Is 343919165 composite?
True
Is 11472797627 composite?
False
Is 5676816677 a prime number?
False
Is 3888095597 composite?
True
Is 11124618733 a composite number?
True
Is 4210798597 composite?
True
Is 3509221 a prime number?
True
Is 18071036411 prime?
False
Is 938322493 a composite number?
False
Is 21588090977 a prime number?
True
Is 12522426233 composite?
True
Is 76695937 composite?
False
Is 64895603 a composite number?
True
Is 874029193 a composite number?
True
Is 492704161 a prime number?
True
Is 91482329819 a composite number?
True
Is 5244672071 prime?
False
Is 272801741 a prime number?
False
Is 48994963 composite?
False
Is 1053537421 prime?
True
Is 141821159 prime?
False
Is 216326093 a composite number?
False
Is 15767727149 a composite number?
False
Is 493355281 composite?
False
Is 2179235999 composite?
False
Is 8295174689 prime?
True
Is 37527055537 composite?
False
Is 403331501 composite?
True
Is 2767200866 a prime number?
False
Is 264831271 composite?
False
Is 20569368931 a composite number?
True
Is 61499909749 a prime number?
True
Is 15629111354 prime?
False
Is 6649037939 prime?
True
Is 12508284673 a prime number?
True
Is 14128847021 prime?
False
Is 77418836899 a composite number?
True
Is 2055558467 prime?
False
Is 1613491703 a composite number?
True
Is 1068193099 a prime number?
False
Is 4170473249 a composite number?
False
Is 22863082469 a composite number?
False
Is 10566758189 composite?
True
Is 6624089203 a prime number?
True
Is 907528397 composite?
False
Is 29322966671 a prime number?
True
Is 2405568301 a prime number?
True
Is 13642610915 prime?
False
Is 1282705451 a prime number?
False
Is 45737825113 a composite number?
False
Is 2418786169 a prime number?
True
Is 26720516861 composite?
True
Is 6882495301 a composite number?
True
Is 130434946199 composite?
True
Is 1499811035 a composite number?
True
Is 1171842509 composite?
False
Is 1331370059 a prime number?
False
Is 2353636203 a composite number?
True
Is 1842602587 prime?
False
Is 774583891 prime?
True
Is 608771417 a prime number?
False
Is 46834745299 a prime number?
False
Is 62133031 a composite number?
True
Is 49036054603 a composite number?
True
Is 1043770857 a composite number?
True
Is 15276146 composite?
True
Is 2071926967 prime?
False
Is 9708232961 a composite number?
True
Is 15480144553 a prime number?
False
Is 1894120207 a composite number?
True
Is 132972637607 prime?
True
Is 41005054843 prime?
False
Is 751973281 composite?
True
Is 446771627 prime?
False
Is 15011138123 a prime number?
True
Is 6031796709 a prime number?
False
Is 36523872449 a prime number?
True
Is 19959018109 composite?
True
Is 531651781 a composite number?
False
Is 94473383 prime?
True
Is 50284435301 prime?
False
Is 1364269723 a composite number?
True
Is 297658415 a composite number?
True
Is 2051185559 a composite number?
False
Is 13034478409 a prime number?
True
Is 1590860857 a prime number?
False
Is 333902039 a prime number?
True
Is 88629262819 a composite number?
False
Is 68533623841 a prime number?
False
Is 5233476257 composite?
False
Is 4615333 a composite number?
False
Is 107535089 prime?
True
Is 1140495137 composite?
True
Is 11522595647 a composite number?
False
Is 10621161251 prime?
True
Is 6548537029 prime?
False
Is 70618774621 prime?
False
Is 225519769 a prime number?
False
Is 42314226863 a prime number?
True
Is 822848177 prime?
True
Is 18992842763 composite?
False
Is 9927472603 a prime number?
False
Is 37025208257 a composite number?
False
Is 16013068189 a prime number?
True
Is 20901914233 prime?
True
Is 1548062641 prime?
False
Is 1128639613 a composite number?
False
Is 26475241433 a prime number?
True
Is 15907372799 a prime number?
False
Is 239439209 composite?
True
Is 3364653137 prime?
False
Is 20570964901 prime?
False
Is 120198899 prime?
True
Is 1599651979 composite?
True
Is 18644838941 a composite number?
False
Is 1193740381 composite?
False
Is 692608942 a composite number?
True
Is 246783781 prime?
False
Is 454466443 composite?
False
Is 10860309545 a prime number?
False
Is 38628495907 a prime number?
True
Is 39299169187 composite?
False
Is 10161060997 a composite number?
False
Is 3406033061 prime?
True
Is 2750017709 a composite number?
False
Is 29270606231 a composite number?
False
Is 31792974149 prime?
True
Is 55657037 prime?
True
Is 191005567 prime?
True
Is 33303335203 prime?
False
Is 4155469627 composite?
False
Is 2425948699 prime?
True
Is 1460514457 a prime number?
True
Is 124958671 a prime number?
True
Is 974746853 composite?
True
Is 93514500349 composite?
False
Is 14092682819 a prime number?
True
Is 2158999421 composite?
True
Is 2650411633 a prime number?
True
Is 155736344553 a composite number?
True
Is 11558253167 a prime number?
True
Is 1497190213 a prime number?
False
Is 18963148349 a composite number?
False
Is 1218728593 a composite number?
True
Is 587722931 a prime number?
True
Is 26082099047 composite?
False
Is 4281119399 prime?
False
Is 5251065559 composite?
False
Is 102722122681 a prime number?
False
Is 1213657301 a composite number?
True
Is 13871582609 a composite number?
True
Is 13063620151 composite?
True
Is 47310313553 a prime number?
False
Is 3898304981 a prime number?
True
Is 24546256733 a composite number?
True
Is 11518318921 a composite number?
True
Is 110685478223 prime?
True
Is 128975999 composite?
False
Is 7963690121 composite?
False
Is 1173920749 a composite number?
False
Is 40488846817 a prime number?
False
Is 8745754709 a prime number?
True
Is 174742747 composite?
False
Is 1648108297 a prime number?
False
Is 891050033 a prime number?
True
Is 567052293 a composite number?
True
Is 840352571 composite?
False
Is 2534929777 a composite number?
False
Is 6241023373 a prime number?
False
Is 323088937 prime?
False
Is 104315040191 composite?
False
Is 1037905117 prime?
False
Is 15239301073 prime?
True
Is 100710593 composite?
True
Is 2293169447 a composite number?
False
Is 1495484867 composite?
False
Is 4196454109 a prime number?
True
Is 61997579399 composite?
True
Is 42262880479 composite?
False
Is 1283149753 composite?
True
Is 128009423 prime?
False
Is 1672412719 prime?
True
Is 24773933039 composite?
False
Is 2416879921 composite?
False
Is 626950783 a composite number?
True
Is 42645589337 prime?
False
Is 4998746747 a composite number?
False
Is 56532263527 prime?
False
Is 1814226511 prime?
True
Is 16833004253 prime?
False
Is 15282560119 a composite number?
False
Is 59019069 prime?
False
Is 1334291383 composite?
True
Is 96010439299 composite?
False
Is 266078663 prime?
F | {
"pile_set_name": "DM Mathematics"
} |
63468.
(r - 123)*(127*r - 2580)/5
Let 2*p**2 - 2963712*p + 1097948602368 = 0. Calculate p.
740928
Determine y, given that -2*y**3/3 - 186898*y**2/3 - 20504330*y - 1690109850 = 0.
-93119, -165
Suppose 2*q**2/3 - 206264*q + 3093910/3 = 0. Calculate q.
5, 309391
Factor 5*n**3 + 12826340*n**2 + 8226019236305*n + 345470182631490.
5*(n + 42)*(n + 1282613)**2
Factor -37*i**2 - 30833468*i/3 + 92593.
-(i + 277779)*(111*i - 1)/3
Determine v, given that 4*v**3 + 20152*v**2 - 1384208*v + 23610144 = 0.
-5106, 34
Factor -d**3 + 5492*d**2 - 7702576*d + 442599360.
-(d - 2716)**2*(d - 60)
Factor 2*k**5/13 + 50144*k**4/13 + 50142*k**3/13.
2*k**3*(k + 1)*(k + 25071)/13
Determine x, given that -2*x**2/11 + 178256*x/11 + 13023346/11 = 0.
-73, 89201
Factor -w**4 - 1482*w**3 - 351945*w**2.
-w**2*(w + 297)*(w + 1185)
Factor 2*c**2/7 - 142500*c/7 - 5560542/7.
2*(c - 71289)*(c + 39)/7
Find a, given that 5*a**4 + 54890*a**3 - 1375375*a**2 = 0.
-11003, 0, 25
Factor -2*h**3/9 + 909490*h**2/9 - 103391505136*h/9 - 1137416607448/9.
-2*(h - 227378)**2*(h + 11)/9
Factor 2*k**2 - 263452*k - 8959680.
2*(k - 131760)*(k + 34)
Determine j so that -j**3 + 38042*j**2 + 21849824*j + 3114128160 = 0.
-284, 38610
Determine g so that g**4/6 + 962*g**3/3 + 88481*g**2/6 + 245527*g/3 - 225240 = 0.
-1877, -40, -9, 2
Factor -4*k**2 + 195796*k - 4501192.
-4*(k - 48926)*(k - 23)
What is x in -5*x**2 - 3572287760*x - 638061992012290880 = 0?
-357228776
Suppose 2*c**3/5 + 12228*c**2/5 + 2075498*c + 10365264/5 = 0. What is c?
-5096, -1017, -1
Factor -q**2 - 20669300*q + 41338604.
-(q - 2)*(q + 20669302)
Find f, given that 5*f**3 - 797490*f**2 - 7975355*f - 7177860 = 0.
-9, -1, 159508
Factor -3*m**3 - 245406*m**2 + 1227213*m + 8835156.
-3*(m - 9)*(m + 4)*(m + 81807)
Factor c**2 + 19912*c + 139335.
(c + 7)*(c + 19905)
Factor -m**2/3 + 73344*m - 220031/3.
-(m - 220031)*(m - 1)/3
Determine r so that 2*r**2 + 10576404*r + 13982540196402 = 0.
-2644101
Find w, given that 3*w**3 + 49875*w**2 - 1198296*w + 7192368 = 0.
-16649, 12
Let -190*x**2 - 17935*x + 1469265 = 0. Calculate x.
-147, 1999/38
Factor 42*i**2/5 + 13474*i - 2128832/5.
2*(i - 31)*(21*i + 34336)/5
Find j, given that 2*j**5/7 + 93140*j**4/7 + 1084848064*j**3/7 + 1548878272*j**2 + 4955473920*j + 34685337600/7 = 0.
-23280, -4, -2
Let 16*n**3/15 - 15382*n**2/15 - 189502*n/5 + 71784/5 = 0. What is n?
-36, 3/8, 997
Solve 2*q**5/23 - 1074*q**4/23 + 178606*q**3/23 - 10744758*q**2/23 + 162066960*q/23 - 563376600/23 = 0 for q.
5, 15, 114, 289
Suppose -2*k**5/9 - 3744*k**4 - 141589358*k**3/9 + 951996680*k**2/3 + 45123013288*k/9 + 35281648576/3 = 0. What is k?
-8434, -8, -3, 31
Let a**3/2 - 66299*a**2/6 + 183142700*a/3 + 61051250/3 = 0. Calculate a.
-1/3, 11050
Factor 80008391125538*z**2 + 50599096*z + 8.
2*(6324887*z + 2)**2
Factor x**2/7 - 5088*x/7 - 635620/7.
(x - 5210)*(x + 122)/7
Solve -4*v**5 - 2112*v**4/5 - 81232*v**3/5 - 1365736*v**2/5 - 1843884*v - 2718520 = 0 for v.
-35, -19, -73/5, -2
Let -3*a**3 - 2685900*a**2 - 29544501*a + 32230404 = 0. What is a?
-895289, -12, 1
Solve 2*o**5 + 18024*o**4 + 40535874*o**3 - 325495540*o**2 - 120417000*o + 3661218000 = 0 for o.
-4510, -3, 5, 6
Factor -44*g**3/3 + 13028*g**2 - 695072*g + 28710080/3.
-4*(g - 28)**2*(11*g - 9155)/3
Find x such that 2*x**5/3 - 2877220*x**4 - 60421700*x**3/3 - 25895040*x**2 + 77685030*x + 155370132 = 0.
-3, 2, 4315837
Determine w, given that -2*w**4/13 + 298*w**3/13 + 73122*w**2/13 - 1064770*w/13 + 3773000/13 = 0.
-140, 7, 275
Factor -2*r**2/19 - 91294*r/19 - 4468604/19.
-2*(r + 49)*(r + 45598)/19
Determine b, given that 8*b**5/13 - 12006*b**4/13 - 896136*b**3/13 - 15384526*b**2/13 + 34449516*b/13 = 0.
-37, 0, 2, 6291/4
Factor -2*x**2 + 9738*x - 77776.
-2*(x - 4861)*(x - 8)
Suppose 4*h**5 - 28732*h**4 + 49633820*h**3 + 7103486380*h**2 + 27767556096*h + 20713732272 = 0. What is h?
-129, -3, -1, 3658
Find f such that -3*f**2 - 273486*f + 3008709 = 0.
-91173, 11
Find p, given that -2*p**3 + 28176*p**2 - 96680682*p + 97672970340 = 0.
2259, 9570
Solve 4*o**2 + 434596*o + 3476512 = 0.
-108641, -8
Determine s so that 2*s**4/3 - 15878*s**3/3 + 19422392*s**2/3 + 6479424*s = 0.
-1, 0, 1512, 6428
Factor -4*v**3 + 9233444*v**2 - 18466876*v + 9233436.
-4*(v - 2308359)*(v - 1)**2
Let -4*b**3/5 + 56027*b**2/5 + 4181983*b/5 + 1041994/5 = 0. Calculate b.
-74, -1/4, 14081
Determine k, given that 5*k**4/3 + 9793*k**3/3 + 25432*k**2/3 + 7820*k/3 - 2608 = 0.
-1956, -2, -1, 2/5
Solve -k**5/5 + 173*k**4/5 - 7391*k**3/5 - 173*k**2/5 + 7392*k/5 = 0 for k.
-1, 0, 1, 77, 96
Determine m, given that -65*m**3 + 394470*m**2 - 601780620*m + 9980776840 = 0.
218/13, 3026
Solve 5*p**3 + 1696905*p**2 + 143970086595*p - 719892856225 = 0.
-169693, 5
Let -15*u**5 - 136536*u**4 - 308391891*u**3 + 10543347546*u**2 + 59630215200*u - 3208243440000 = 0. What is u?
-4568, -82/5, 25
What is q in -3*q**3/5 + 2538399*q**2/5 - 2538396*q/5 = 0?
0, 1, 846132
Factor -18*j**2 - 25195215*j/7 - 85698.
-3*(j + 199962)*(42*j + 1)/7
Factor -2*c**3 - 125228*c**2 - 1957498578*c + 86372549208.
-2*(c - 44)*(c + 31329)**2
Factor -w**2 - 77926106*w - 1518119499080809.
-(w + 38963053)**2
Let u**3/4 - 422989*u**2/4 + 845966*u - 1691924 = 0. Calculate u.
4, 422981
Factor 28*i**3 - 8580*i**2 - 237312*i - 132800.
4*(i - 332)*(i + 25)*(7*i + 4)
Determine t so that -14*t**2/5 + 11311574*t/5 + 969564 = 0.
-3/7, 807970
Determine b so that -4*b**3 - 2686340*b**2 - 75215168*b - 526500688 = 0.
-671557, -14
Find a, given that 5*a**5 + 2600*a**4 + 93185*a**3 + 769810*a**2 - 1829600*a + 964000 = 0.
-482, -20, 1
Let -k**2 + 10984*k + 1489812 = 0. What is k?
-134, 11118
Solve 3*i**2 - 205164738*i + 3507714143217387 = 0 for i.
34194123
Suppose -4*b**4 - 3792*b**3 - 192192*b**2 + 814400*b - 829632 = 0. What is b?
-894, -58, 2
Find u such that -u**3 - 49234*u**2 - 732374304*u - 2925936074880 = 0.
-21432, -6370
Determine f, given that 2*f**5/5 - 456352*f**4/5 + 26033968832*f**3/5 - 208249846272*f**2/5 + 416485089792*f/5 = 0.
0, 4, 114084
Determine z, given that 2*z**2/15 - 691894*z/15 - 15226508/3 = 0.
-110, 346057
Factor -t**2/4 + 60401*t/2 + 120803/4.
-(t - 120803)*(t + 1)/4
Determine z, given that -3*z**5/5 - 2553*z**4/5 + 49899*z**3/5 + 268053*z**2/5 - 675576*z/5 + 72036 = 0.
-870, -6, 1, 23
Solve 4*s**5/3 - 23672*s**4 - 2377336*s**3 - 171275968*s**2/3 + 121410668*s - 61917672 = 0 for s.
-51, 1, 17854
Let -k**5/3 + 3184*k**4 - 665357*k**3/3 + 15346114*k**2/3 - 43377152*k + 364260512/3 = 0. Calculate k.
7, 28, 9482
Suppose -3*o**2/2 - 669543*o - 1339083/2 = 0. What is o?
-446361, -1
Determine j so that 2*j**5/3 + 262*j**4 - 480514*j**3/3 - 805278*j**2 - 3872176*j/3 - 645880 = 0.
-723, -2, -1, 335
Find p such that -p**5/10 - 943*p**4/10 + 10483*p**3/10 - 10553*p**2/10 - 28161*p/5 - 17172/5 = 0.
-954, -1, 4, 9
Find s such that -64*s**4 - 1200*s**3 + 38511*s**2 + 943029*s + 4095522 = 0.
-159/8, -6, 27
Factor -5633*g**2 - 298588*g - 2067.
-(g + 53)*(5633*g + 39)
Factor 35*q**2/3 + 513425*q/2 - 55010/3.
5*(q + 22004)*(14*q - 1)/6
Factor -30429480*r**2 - 91288436*r + 12.
-4*(r + 3)*(7607370*r - 1)
Factor -15*g**2 + 66907625*g - 22302540.
-5*(g - 4460508)*(3*g - 1)
Find w such that 2*w**4/5 - 21944*w**3/5 + 17550*w**2 - 65808*w/5 = 0.
0, 1, 3, 10968
Factor -p**3/7 + 16466399*p**2/7 - 67785532840784*p/7 - 338928075864020/7.
-(p - 8233202)**2*(p + 5)/7
Find a, given that 145*a**5 - 498350*a**4 - 52570*a**3 + 3487580*a**2 + 3350985*a + 309330 = 0.
-2, -1, -3/29, 3, 3437
Solve 26*p**4/7 + 10902*p**3 + 2656356*p**2/7 + 2384752*p + 2505600/7 = 0 for p.
-2900, -27, -8, -2/13
Find g, given that 5*g**5 - 50512*g**4 + 222161*g**3 - 50478*g**2 - 121176*g = 0.
-3/5, 0, 1, 4, 10098
Solve -2*s**3/9 + 374602*s**2/9 + 41624*s - 249736 = 0 for s.
-3, 2, 187302
Determine y, given that -y**5 + 5531*y**4 + 60964*y**3 - 10928*y**2 - 864768*y + 1197072 = 0.
-9, -6, 2, 5542
Factor -5*l**2 - 42233735*l - 42233730.
-5*(l + 1)*(l + 8446746)
Let -u**4 - 14991*u**3 + 14992*u**2 = 0. Calculate u.
-14992, 0, 1
Factor -r**2/7 - 5832926*r/7 + 11665856/7.
-(r - 2)*(r + 5832928)/7
Solve 5*o**3 - 235345*o**2 + 2769716435*o - 8307031335 = 0.
3, 23533
Let -15*f**5 - 383210*f**4 - 2446603975*f**3 + 11426471120*f**2 + 4080654400*f = 0. Calculate f.
-12776, -1/3, 0, 5
Suppose -15*f**5/7 - 846*f**4/7 + 227 | {
"pile_set_name": "DM Mathematics"
} |
0277*d**2 + 937402?
14320554*d
Find the second derivative of -n**3 + 36945*n**2 - 1516*n - 6.
-6*n + 73890
What is the third derivative of 34464*t**4 - t**3 + 20*t**2 + 625*t - 3 wrt t?
827136*t - 6
What is the derivative of 18*t**3 - 31*t**2 + 5*t + 643266?
54*t**2 - 62*t + 5
Find the second derivative of 9924*u**4 + 5009*u.
119088*u**2
What is the third derivative of 291*k**5 + 204*k**3 - 17152*k**2 - 38?
17460*k**2 + 1224
What is the second derivative of d**2*g**2*n + 177*d**2*g**2 + 24*d**2*g*n**2 + 3*d**2*g*n - 2*d**2 - 3*d*n**2 - 44*g**2*n**2 - 2*g**2*n - 2*g*n - n**2 wrt n?
48*d**2*g - 6*d - 88*g**2 - 2
Find the third derivative of -1406470*m**4 + m**2 - m + 23797.
-33755280*m
Find the second derivative of -29*k**2*m**2*s - 2*k**2 + 12*k*m**2*s - 6*k*m**2 + 3775*m*s - s wrt m.
-58*k**2*s + 24*k*s - 12*k
Find the third derivative of -81*u**3*w**3 + 6*u**3*w**2 + 10*u**3 + 29*u**2*w**6 - 11*u**2*w**2 + 2*u**2*w wrt w.
-486*u**3 + 3480*u**2*w**3
Find the third derivative of 125734*m**5 - 884*m**2 wrt m.
7544040*m**2
What is the third derivative of -71*w**4 - 384*w**3 - 271330*w**2?
-1704*w - 2304
Find the second derivative of 22*q**4 + 573*q**3 + 2*q**2 - 6*q - 698.
264*q**2 + 3438*q + 4
What is the third derivative of 28604*j**3 - 3*j**2 - 2640*j - 3 wrt j?
171624
What is the third derivative of 5*a**3*k + 84*a**3*p**3 - 146*a**2*k**3*p**3 + 15430*a**2*k**3*p**2 - 5*a wrt p?
504*a**3 - 876*a**2*k**3
What is the third derivative of -111283*c**3 - 3*c**2 + 175*c + 6?
-667698
Find the third derivative of 264926*i*r**3 - i*r**2 + 197*i*r + 18*r**2 + 2*r wrt r.
1589556*i
What is the first derivative of -3538633*c - 1726320 wrt c?
-3538633
Find the third derivative of 27*u**5 + 4*u**4 - 44*u**3 - 2*u**2 - 348132*u - 1.
1620*u**2 + 96*u - 264
What is the second derivative of -2550*m**4 - 2*m**3 + 81*m**2 + 758205*m?
-30600*m**2 - 12*m + 162
What is the derivative of 131*c**4*j + 96*c**3*j + 2*c - 39592*j - 1 wrt c?
524*c**3*j + 288*c**2*j + 2
Find the third derivative of -29*l**5 - l**4 + 275*l**3 - 49970*l**2 wrt l.
-1740*l**2 - 24*l + 1650
What is the third derivative of 36*h*n**6 - h*n**3 - 2551*h*n**2 + 205*n**6 + 14 wrt n?
4320*h*n**3 - 6*h + 24600*n**3
Find the third derivative of 3906*m**6 + 5*m**5 + m**2 - 28710*m.
468720*m**3 + 300*m**2
Find the second derivative of 2*t**4 - 5647*t**3 - 11*t**2 + 1940989*t - 2 wrt t.
24*t**2 - 33882*t - 22
Find the third derivative of -1318612*b**2*k**3 - 8*b**2*k + 1497*k**2 wrt k.
-7911672*b**2
Find the third derivative of -1529*f**4 + 6*f**3 + f**2 + 40490*f - 1.
-36696*f + 36
Find the first derivative of -23560*f - 9761 wrt f.
-23560
What is the derivative of -930376*m + 973487?
-930376
Differentiate -3956*k**2 + 28*k - 24032 with respect to k.
-7912*k + 28
What is the third derivative of 2*m**4*s**2 + 244945*m**3*s**2 - 2*m**2*s**2 - 42208*m*s**2 wrt m?
48*m*s**2 + 1469670*s**2
What is the third derivative of 1294485*w**3 - 354*w**2 - 6*w - 86?
7766910
Find the third derivative of -521*i**6 - i**4 + 35*i**3 - 65803*i**2 - 8.
-62520*i**3 - 24*i + 210
Find the second derivative of 1922441*c**2*p**3 + c*p**2 - 22*p**3 - 2036*p**2 wrt c.
3844882*p**3
What is the third derivative of 8941*z**4 - 115*z**3 + z**2 - 125*z - 3874?
214584*z - 690
What is the derivative of -833908*m**2 - 1423239 wrt m?
-1667816*m
Find the first derivative of -393216*d**2 + 3954874.
-786432*d
What is the first derivative of -44474*x - 24591 wrt x?
-44474
Find the third derivative of 101172*c*p**3*v**3 - 7*c*p**3*v + 2*c*p**2*v**4 + 11*p**3*v**2 + 99*p**2*v**2 wrt v.
607032*c*p**3 + 48*c*p**2*v
What is the second derivative of 66706*x**2 - 315080*x wrt x?
133412
What is the third derivative of 28*q**3*r + 2013*q**3 + 42*q**2 + 5*q + 7*r + 2 wrt q?
168*r + 12078
Find the second derivative of -59565*m**2*x**2 - m**2*x + 5271*m*x + x**4 wrt x.
-119130*m**2 + 12*x**2
Find the third derivative of -w**5 + 11236*w**3*x**3 + 69444*w**2*x**3 wrt w.
-60*w**2 + 67416*x**3
What is the derivative of -j**2*x + 139*j**2 + 8*j*x + 2*x + 2174 wrt j?
-2*j*x + 278*j + 8*x
Differentiate -76*d*h**2*q**2 - 1090*d*q**3 - 5*h**2*q**2 + 508*h**2*q + 4*h*q**3 + h*q + q with respect to d.
-76*h**2*q**2 - 1090*q**3
What is the second derivative of -137199*v**2 + 8*v + 217?
-274398
What is the second derivative of -103*j**3*o**2 + j**3 + 247*j**2 - 28843*j*o + 2*o**2 + 2 wrt j?
-618*j*o**2 + 6*j + 494
What is the second derivative of 30857*j**2*o**3 + 9*j*o + o**3 - 2544*o wrt j?
61714*o**3
Differentiate n*u**2 - 2*n*u + 1076752*n - 875*u**2 + 47*u wrt u.
2*n*u - 2*n - 1750*u + 47
What is the third derivative of 42883*n**5 - 2*n**2 + 43*n + 117 wrt n?
2572980*n**2
What is the third derivative of -2*f*h**4 - 73*f*h**3 + 46*f*h**2 - 90*f*h + 9*h**4 wrt h?
-48*f*h - 438*f + 216*h
Find the second derivative of 21*i**2*z - 10711*i**2 - 160208*i*z - 13*z wrt i.
42*z - 21422
What is the first derivative of -j**4 - 7557*j**3 + 893408?
-4*j**3 - 22671*j**2
Differentiate 16692*b**3 - 4255993 with respect to b.
50076*b**2
What is the second derivative of -64*g**2*h**2*p + 2*g**2*h*p - 31*g*h**2*p**2 - 2*g*h*p**2 - 6*h**2 + h + 318*p + 1 wrt h?
-128*g**2*p - 62*g*p**2 - 12
Find the second derivative of b*y**5 - 1570459*b*y + 1766561*y**3 wrt y.
20*b*y**3 + 10599366*y
What is the first derivative of 351*y**3 + y**2 + 6*y + 76007 wrt y?
1053*y**2 + 2*y + 6
Find the second derivative of 73*i**3*j**2 + i**2*j - 111*i**2 + i*j - 904*j**2 - 1 wrt i.
438*i*j**2 + 2*j - 222
Find the second derivative of -8*p**2*r**2 + p**2*r + 689*p**2 + 12967*p*r**2 - r**2 - 3*r - 2 wrt r.
-16*p**2 + 25934*p - 2
Find the third derivative of 43571*i**6 - 2*i**5 + 3758*i**2 wrt i.
5228520*i**3 - 120*i**2
What is the second derivative of -302*m**3*w**3 + 109*m**3*w - m**2 - m*u*w + 32*m*w + u*w**2 + 2*w**3 - 46*w**2 wrt w?
-1812*m**3*w + 2*u + 12*w - 92
What is the derivative of 289192*i**3 + 884917 wrt i?
867576*i**2
What is the second derivative of 15*s**5 - 1483*s**2 + 126824*s?
300*s**3 - 2966
Find the third derivative of -3*n**2*z**6 + 587*n**2*z + 3*n*z**2 + 6897*z**6 + z**2 wrt z.
-360*n**2*z**3 + 827640*z**3
Differentiate -r*s*x**2 - 78*r*s*x + 83*r*s + 2*r + 3945*s*x**2 - 111*s with respect to r.
-s*x**2 - 78*s*x + 83*s + 2
Differentiate -1144*j**2 - 934*j + 139823 wrt j.
-2288*j - 934
What is the derivative of -3*h**3 - h**2*x - 4078*h*x**2 + 2*x**2 + 2*x + 1041 wrt h?
-9*h**2 - 2*h*x - 4078*x**2
What is the second derivative of -1099373*p**3 + 540308*p?
-6596238*p
Differentiate 2*h**3*o*u + 25*h**3 - 13*h**2*u + 2*h*o*u - h - 190101*o*u + 103 wrt o.
2*h**3*u + 2*h*u - 190101*u
Find the first derivative of 5076*j**3 - 17*j**2 - 3*j - 442675 wrt j.
15228*j**2 - 34*j - 3
Find the third derivative of -1933082*c**6 + 240504*c**2 + 3 wrt c.
-231969840*c**3
What is the second derivative of 33769*i**4 - 2280*i - 3 wrt i?
405228*i**2
Find the third derivative of -821514*j**3 - 426923*j**2 + 1 wrt j.
-4929084
What is the second derivative of 2*q*y**3 + 23*q*y**2 - 2*q*y - 36034*q + 800*y**3 - y wrt y?
12*q*y + 46*q + 4800*y
What is the second derivative of 13796*k**4 - k**2 - 341*k + 30 wrt k?
165552*k**2 - 2
What is the second derivative of 26*n**5 - 7*n**3 - 7*n**2 + 54748*n wrt n?
520*n**3 - 42*n - 14
What is the second derivative of -767646*c**3 - 113606*c - 3?
-4605876*c
What is the third derivative of 2*t*x**4 - t*x**2 - 105*t*x - 19*t - 5115*x**3 + 2 wrt x?
48*t*x - 30690
What is the first derivative of 108*l**3 + 805*l**2 + 2*l - 147846 wrt l?
324*l**2 + 1610*l + 2
Find the second derivative of -3*f**4 + 11611*f**2 - 5*f + 495 wrt f.
-36*f**2 + 23222
What is the second derivative of -67*s**3 - 316*s**2 - 30863*s?
-402*s - 632
Find the third derivative of 7*g**3*k**3 - 3*g**3*k*l - 38*g**2*l**2*x - 4*g*k**2*l*x + 12*g*l**3 - 11*k**3*l**3 + 54*k**3*l**2*x wrt k.
42*g**3 - 66*l**3 + 324*l**2*x
Find the first derivative of 2*c**2*h + 4493*c*h**3 + c*h - 19290*h**3 wrt c.
4*c*h + 4493*h**3 + h
What is the third derivative of -12517*c**2*k**3*v**2 + 6*c**2*k*v + c*k**3*v**2 - 4*c*k**2*v - 17*k*v**2 wrt k?
-75102*c**2*v**2 + 6*c*v**2
Find the first derivative of 11*g**2 - 28091*g + 392773.
22*g - 28091
Find the second derivative of -2*f**4 - 56*f**3 - 84*f**2 + 898523*f wrt f.
-24*f**2 - | {
"pile_set_name": "DM Mathematics"
} |
(f**(-2/31)/f)/(f*f*f**(-13)/f*f))**(5/4))**(-1/15) assuming f is positive.
f**(-77/93)
Simplify (((d/(d/d**(1/6))*d)/d)/(d*d*d**5*d*d*d))**14/(((d*d*d/(d**(-2/9)/d)*d)/d)**(-23)/(((d/(d**(-2/5)/d))/d*d)/d)**(-10)) assuming d is positive.
d**(-491/9)
Simplify ((w*w**(-2)*w)**29)**(-9)*(w*w*w**(1/5)*w**6)/(w*w**0)**43 assuming w is positive.
w**(-174/5)
Simplify ((y/(y**(-5)/y))**(-22)/(y**(2/15)/y)**(-1/10))**(1/35) assuming y is positive.
y**(-23113/5250)
Simplify ((r*r/(((r*r**(-12)/r)/r)/r)*r**(-9)*(r**(-1/3))**(-6/25))**(-2/11))**(8/17) assuming r is positive.
r**(-2832/4675)
Simplify ((n*n*n**1)**28)**(-2/107)/((n**(-1/4))**(-3/17)/((n*(n**(-2/13)/n)/n)/n**(2/5))) assuming n is positive.
n**(-1498301/472940)
Simplify ((c**(1/2)/c**(13/5))/(c/(c/c**24))**(-35))**(-7/2) assuming c is positive.
c**(-58653/20)
Simplify ((((d**(-1/5)/d)/d)/(d/d**(-4)))/((d/(d*d**(-1/8)))/d*d/d**(-3/2)))/(((d*d**(-1/5)/d*d)/d)**(5/4))**15 assuming d is positive.
d**(-203/40)
Simplify ((s**1*s)**(-2/23)/(s/(s**(-7)*s)*s*s*s**(-5/6)))/(((s*s**(1/4))/s)/(s*s*s**(-3/2))*(s**0)**(-25)) assuming s is positive.
s**(-2233/276)
Simplify (((q*q*q*q**(-1/10)/q)/(q*(q*q**(-4/9))/q))/(q**(-3/10)/(q*q**8/q)))**42 assuming q is positive.
q**(6076/15)
Simplify ((p/(p**1/p*p))**27/((p*p**(-2)/p)/(p*(p/p**(-1/2))/p)))/(p**6/(((p*p**(-1/4)/p)/p)/p)*p**2/(p**0/p)) assuming p is positive.
p**(-31/4)
Simplify (((m*m**17/m)/m**6)/(m**(-6)*(m*m**(-14)*m*m)/m))**(-35) assuming m is positive.
m**(-1015)
Simplify (g**(1/5)*g/(g/g**(-6)))**(-3/7)*(g**1*g/g**0)/(g/(g/(g/(g/g**1*g)))*g)**(2/7) assuming g is positive.
g**(21/5)
Simplify (((x**(2/53)*x/(x/x**(-5)))**7)**43)**(21/2) assuming x is positive.
x**(-1662423/106)
Simplify (((s/(s/s**(1/18)))/(s/(((s*s/((s**12/s)/s*s))/s)/s)*s))/(((s/s**(-6)*s)/s)/(s*s/(s/(s/(s*s*s/s**24))))))**(-10/11) assuming s is positive.
s**(-25/9)
Simplify (((t*t*t**(-1/11)*t*t)/(t**45*t))/(t**(-2/59))**9)**(1/4) assuming t is positive.
t**(-27119/2596)
Simplify (((f/f**(1/5))/f)/((f/(f**(-6)*f*f))/f))/(f**6*f*f**(-2/3))*((f*f/f**(-1))**(4/3))**(8/15) assuming f is positive.
f**(-42/5)
Simplify ((g**(-5)*g)/(g**0*g))**47/((g*g**(-8)*g*g/((g/((g*g**7*g*g)/g)*g*g)/g))/((g**0/g*g*g)/g)**(-2/67)) assuming g is positive.
g**(-237)
Simplify ((c/(c/c**0))**48)**(-5/13)*c**(-1)/c**(2/3)*c**4*c/(c**(-1/4)/c) assuming c is positive.
c**(55/12)
Simplify (c**(2/5))**50/((((c/(c*c**(-2/3)))/c)/c)/(c/(c/(c/c**(-2/7)))))*c**(-5/6)*c**(-6)*(c*c/((c**(2/5)/c)/c))**(-2/61) assuming c is positive.
c**(66901/4270)
Simplify ((a**0/(a/(a/((a*a**1)/a))))/(a**(2/11)/a**(-2/9)))/((a*a/(a/(a/a**2)))**(1/5))**(2/79) assuming a is positive.
a**(-139/99)
Simplify ((y*y/(y*y**8*y))**(-1)*(y/y**(11/4))/y*y/((y**(-1/10)*y*y)/y*y))**(6/31) assuming y is positive.
y**(261/310)
Simplify ((((m*m**(4/21))/m)/m**(-2/29))/(m**(-2/55)*(m**(-2/17)*m)/m))**(19/4) assuming m is positive.
m**(2236547/1138830)
Simplify (m**(-2/5))**(-26)/((m/m**6)/(m**5*m*m*m))*m**2*m**(-2)*(m**(-2)*m)**(-4/17) assuming m is positive.
m**(2009/85)
Simplify ((s**(-9/4)*(s**(-7/2)/s*s)/s)/((s**(-2/19)/s)/s**(1/4)))**(-1/33) assuming s is positive.
s**(205/1254)
Simplify ((v/(v/v**(-11)))/v*v*v/(v/(v*v**(-10)))*(v**(-12)/v)/v*v**(-2/3))**(-4/7) assuming v is positive.
v**(416/21)
Simplify ((((h**(-4/13)*h)/h)/(h*h**(-18/7)))/((h*h*h**(-1/14)*h)/h*h)**(-1/7))**(-7) assuming h is positive.
h**(-2143/182)
Simplify ((d**(-1/8)/d**(3/10))/(d*d**(1/14)/d*d/d**7))**(-32) assuming d is positive.
d**(-6164/35)
Simplify ((w**(-2/21))**41)**(26/5)/(w**2/((w*w/(w*w**(-2/5)))/w))**(-34) assuming w is positive.
w**(716/21)
Simplify ((d**(1/6)*d)/((d*d**(-3/7)*d*d)/d))**(2/53)/(((d*d*d/((((d**(-3)*d)/d)/d)/d)*d)/(d**6/d))/(d**1)**(6/19)) assuming d is positive.
d**(-78233/21147)
Simplify ((r/r**(-2/7))/(r/(r*r/(r**(-2/7)*r)))*(r/(r*r*r**(-7)))/(r**(-8)*r))/(((r*r**2)/r)/((r*r**6)/r))**(-11) assuming r is positive.
r**(-206/7)
Simplify (z/(z**(-6)/z*z)*z**(-3/5))/(z**(-7)*z*z/(((z*z*z**(-7))/z)/z))*((z**5*z)/(z*z*z**(5/4)))**(9/2) assuming z is positive.
z**(671/40)
Simplify ((m**(4/3))**(21/5)/(m**(2/11)/(m*m/(m/(((m*m/(m*m/(m**(9/5)*m)*m))/m)/m)))))**(-45) assuming m is positive.
m**(-3078/11)
Simplify ((d**4/d*d)/d*d*d)/(d**3*d)*d/((d**4/d)/d)*(d**(3/5)/d)/d*d*(d**6/d**(2/9))/((d/(d*d**1))/d)**(-42) assuming d is positive.
d**(-3538/45)
Simplify (((k*(k*k**(-16)/k)/k*k**7)**(27/2))**(-50))**(-5/2) assuming k is positive.
k**(-30375/2)
Simplify ((t**(1/34)*t*t*t**(-16))/(t/t**(-21)*t/(t/(t*t*t**(-1/24)))))**43 assuming t is positive.
t**(-665425/408)
Simplify (j*(j**(2/53)*j*j)/j*j)**(-22/5)*(j*j**17)/j*j*j**(-3/32) assuming j is positive.
j**(38501/8480)
Simplify (a*a**(-2)*a*(a**(1/4)/a)/a*a)**(-48)*(a**(-6)/(a/a**(-3/4)*a*a))**(30/13) assuming a is positive.
a**(27/2)
Simplify ((w/(w*w**0))/((w**(-1/3)*w)/w)*(w**(1/14)*w)/w**1)**16 assuming w is positive.
w**(136/21)
Simplify (r**(1/3)/r*r*r**(-1/4)*r**(-12)/((r**(-6)*r)/r*r))**(1/13) assuming r is positive.
r**(-83/156)
Simplify (g*g/g**34)/(g**(3/28)*g)*g**(-2/133)*g/g**45*g assuming g is positive.
g**(-40497/532)
Simplify (((w/w**(4/3))/(w/(((w*w*w/(w*w**5)*w*w)/w)/w)))/(w**(-1/6)/(w/w**(2/7))))/((w/w**0)**(-10)/(w**(-7)/(w**0/w))) assuming w is positive.
w**(23/42)
Simplify ((o/((o*o**(-2/11))/o))**(-4/11)/(((o/o**(-6))/o)/o)**12)**(-15/7) assuming o is positive.
o**(109680/847)
Simplify ((((d**(-24)*d)/d)/(d**(-2/3)*d))/(d**(-1/17)/d)**(-1/15))**30 assuming d is positive.
d**(-12446/17)
Simplify v*v**7*v**(-7)*((v*v/(v**(2/27)*v))/v)/(v*v**(-2)*v)*(v**(-1/4)/(v/((v**(-7)/v)/v)))/(v**2)**(-21/4) assuming v is positive.
v**(127/108)
Simplify ((v**(-5/3)*v)/(v*v*v/(v*v*v**6)))**(-28)/((v/(v**1/v))**(-8/9)/(v**(-2)/v**0)) assuming v is positive.
v**(-1102/9)
Simplify (c*c/c**30*c*(c/(c**(-2/51)/c))/c*(c**13)**0)**(-28) assuming c is positive.
c**(37072/51)
Simplify ((x*x/(x**(-2)*x))**(-3)/(x/x**0)**(-25))/((x*x**(-1)*x)**(1/10)/(x*x**(-5)*x*x/(x**6/x)*x)) assuming x is positive.
x**(99/10)
Simplify (w*w**(22/3)*w)/(w/(w/((w**5*w)/w)))*w**21*w**(2/33) assuming w is positive.
w**(838/33)
Simplify a/(a/a**(1/3))*a**3*(a*(a/(a**1*a))/a)**4*((a**(-3/7)*a)/((a*a**(3/7))/a))/(a**(-6/5)/(a**(-2/11)/a)) assuming a is positive.
a**(-584/1155)
Simplify (((s**(-28))**(-1/4))**(-3/2))**42 assuming s is positive.
s**(-441)
Simplify ((u**(-4)*u)/u**(-2/5))**(-1/27)/((u**0)**(-28))**(17/6) assuming u is positive.
u**(13/135)
Simplify (t*t**(-2/19)*t*t**(3/2))**(-29)/(((t**(-1/8)/t)/(t/(t**(-3/5)*t*t*t)))/((t*t**(1/4))/t)**25) assuming t is positive.
t**(-70279/760)
Simplify ((k/k**4)/k**(3/2))/(k*k**(-1)*k*k*k**5)*(((k/((k**(-4)*k)/k*k))/k)/k**4)**(-30) assuming k is positive.
k**(37/2)
Simplify ((s**3/s)**(1/5)/((s/((s**11/s)/s)*s)/(s/(s*s**(5/4)))))**13 assuming s is positive.
s**(1599/20)
Simplify ((q*q**33)**40*q**(-2/13)*q/(q/q**(16/3)*q))**(2/15) assuming q is positive.
q**(106406/585)
Simplify (z**(-2/3)/z)**(-20)/((z**(-2/11)*z)/z**(-2))*(z**(4/3)/(z*z*z**0))**(-2/119) assuming z is positive.
z**(39959/1309)
Simplify ((l*l*l/(((l/l**(-16/5))/l*l)/l)*l*l/(l/(l*l**(-2/3))*l*l*l))/(l**(12/17)/(l/(l*l**(-4/3)))))**40 assuming l is positive.
l**(-2528/51)
Simplify (((((u**20/u)/u)/u)/(u**(-4/23)*u))/((u/u**(-19))/u**(2/35)))**(-2/103) assuming u is positive.
u**(6068/82915)
Simplify ((m*m/(m/(m*m**2)))**36)**3/(m**(-6)/m**(-7)*(m*m**(-1/5))/(m*m*m/(m*m/m**(5/4))*m)) assuming m is positive.
m**(8669/20)
Simplify q*((q**(-2/5)/q)/q)/q*q*q**(-2/15)*q**(-1/2)/q**4*(q*q**1)**(30/7)*(q**5*q)/(q*(q/q**(2/5))/q) assuming q is positive.
q**(1667/210)
Simplify ((o/(o/o**(-1/7)))**9/(o/o**(-7))**(-22))**(-2/105) assuming o is positive.
o**(-2446/735)
Simplify ((((s/(s/((s/s**(-4/7))/s)))/s)/(s**5*s))/((s/(s*s**(-1/5)*s))/s**(-2/3)))/(((s**(-1/6)*s)/s**(-1/2))/(s/(s*s**(-1/3)))**(-50)) assuming s is positive.
s**(-2551/105)
Simplify ((p**(-2))**(-40))**47/(p**7*p/p**(-2)*(p**(1/3))**(-1/29)) assuming p is positive.
p**(326251/87)
Simplify ((l*l**(-2/7))**(-21)/(l*l*l/((l*l**(-6))/l)*l*l**1))/((l**(1/3)*l*l)**14*l**1*l**5) assuming l is positive.
l**(-194/3)
Simplify (b**(-11))**(-4/3)*((b*b**(-14)/b*b)/b)/b**20 assuming b is positive.
b**(-58/3)
Simplify (((p*p*p*p**1/p*p*p)**(-6)/(p/(p**1/p))**(-1/4)) | {
"pile_set_name": "DM Mathematics"
} |
5*h**4 + 38*h**2)*(-4*h + 6*h - 3*h).
-15*h**5
Expand (-1 + 1 - 2)*(3*p**2 - 2*p**2 - 2*p**2) + 2*p**2 - 3*p + 3*p + p**2 + 0*p**2 - 3*p**2 + 2*p**2 - p**2 + 0*p**2 - 4*p**2 + 4*p**2 + 4*p**2.
7*p**2
Expand (0 + 0 - 2*i**2)*(-4 + 3 - 1)*(-7 + 5 - 11).
-52*i**2
Expand (0*o**4 + o**4 - 2*o**4)*(1 + 1 + 0) - 3*o**2 + 3*o**2 - 2*o**4 - o + o - o**4 - 10*o + 10*o - 3*o**4 + 13*o**3 + 26*o**4 + 7*o**3 - 20*o**3.
18*o**4
Expand (2 - 3 - 1)*(-6*b + 26*b + 2 - 9*b) + 2*b + b - 2*b.
-21*b - 4
Expand 2*z**5 - 5*z**5 + 2*z**5 + (-2*z**5 - 5*z**4 + 5*z**4)*(2 - 7 + 1) - 3*z**5 + 3*z**5 + z**5.
8*z**5
Expand (2*b**3 + 6*b**3 + 11*b**3)*(5 - 5 + 2*b**2) + (-1 + 0 + 2)*(0*b + 0*b - b**5).
37*b**5
Expand (3*u - u**2 - 3*u)*(2 - 5 + 5) - 3*u**2 - u**2 + 0*u**2 - 2*u**2 + u**2 + 2*u**2 + u.
-5*u**2 + u
Expand (s + 0*s - 3*s)*(-2 + 2 + 2 + s)*(-3*s - 5*s + s)*(-2 + 2 + 2*s**2).
28*s**5 + 56*s**4
Expand ((-5*f + 3*f + 0*f)*(0*f + 4*f - 5*f) + 0*f**2 + 2*f**2 + 0*f**2 - f**2 - 2*f + 2*f)*(6 - 8 + 11).
27*f**2
Expand (c + c**2 - c)*(-4*c**3 + 5*c**3 + 6*c + 26*c).
c**5 + 32*c**3
Expand (-2 - 3 + 3)*(-5*m - 2*m + 6*m) - m - m + 16*m + (-m + 3*m + 0*m)*(-4 + 5 - 3).
12*m
Expand (3 - 2 - 2)*(25*i**3 + 22*i**3 - 19*i**3).
-28*i**3
Expand (0 - 1 + 0)*(-2*s**2 + 4*s**2 - s**2)*(5*s**3 + 3 - 3).
-5*s**5
Expand -3*i**4 - 3*i**3 + 7*i**4 - 3*i**4 + (-3*i - i**4 + 3*i)*(-4 + 0 + 3).
2*i**4 - 3*i**3
Expand (3 - 2 + 0)*(4*i - i - i)*(-3*i - 2*i + i).
-8*i**2
Expand (-3*a**3 + 0*a**3 + a**3)*(-2 - 1 + 5)*(30 - 30 - 2*a).
8*a**4
Expand (-5*g**3 + g**3 + 2*g**3)*(0 - 3 + 2 - 17*g).
34*g**4 + 2*g**3
Expand (-9*s**2 + 0*s**2 - 2*s**2)*(-s**2 + 2*s**2 - 2*s**2).
11*s**4
Expand (-3 - 4 + 1)*(-2 + m - 3*m + 4).
12*m - 12
Expand (2 + 0 + 12)*(-3*x**4 - 5*x**4 + 5*x**4).
-42*x**4
Expand (5*p + 4*p - 2*p)*(-4*p + p + 4*p).
7*p**2
Expand (40 + 2 - 10)*(3*d**5 - 2*d**5 + d**5).
64*d**5
Expand 2*n + 4*n**4 - 2*n + (4*n**2 - 2*n**2 + 0*n**2)*(4*n**2 - 3*n**2 + n**2) - 4*n**4 - 2*n**4 + 5*n**4 + n**4 + 3*n - 3*n.
8*n**4
Expand -3*m**2 + 3*m**2 + 2*m**2 - 2*m**2 + m - m + (-2*m**2 - m**2 + 4*m**2)*(1 - 2 - 1) + 0 + 0 - m**2 - m - 2*m - 2*m**2 + m**2.
-4*m**2 - 3*m
Expand (-3 - 1 + 3)*(2*s + 8*s - 5*s) + 5*s + 0*s + s.
s
Expand (8 - 5 + 2)*(-3 - 2 + 4)*(1 - 5 + 0)*(-w**3 + 3 - 3).
-20*w**3
Expand (-x + 6*x - 3*x)*(-6 + 5 + 0) + 0*x + 59*x + 14*x.
71*x
Expand (-2*m - m**4 + 2*m)*(2 + 3 - 3)*(2*m - 2*m + 3*m).
-6*m**5
Expand (-62*q**4 + 32*q**4 + 33*q**4)*(-2*q + 2*q - 3*q).
-9*q**5
Expand 0*z**4 - 2*z**4 + 0*z**4 + (-4*z**2 + 3*z**2 - z**2)*(-3 + 3*z**2 + 3).
-8*z**4
Expand ((1 - 1 - 1)*(2 - 2 + 1) - 3 + 12 - 7)*(1 - 2*t - 1).
-2*t
Expand -i - i + 0*i + 0*i - 3*i + 2*i + 1 + i - 1 + (-3 + 1 + 0)*(5*i - i - 5*i) - i + 3*i + 0*i + 1 - i - 1 - i + 2 - 6*i - 1.
-6*i + 1
Expand (-n + 6*n + 3 - 6*n)*(-1 - 3*n**4 + 1).
3*n**5 - 9*n**4
Expand (-o - 2 + 2)*(2 - 5 - 3)*(-o**2 - 1 + 1).
-6*o**3
Expand (3 - 5 + 0)*(-s - 5*s + 4*s)*(-6*s + 0*s + 0*s).
-24*s**2
Expand (-k**3 + k**3 + k**3)*(k + k - k) + 2*k**4 + 2*k**4 - k**4 - 4 + 2*k**4 + 14*k**3 - 14*k**3 + (-3*k + 3*k - k**4)*(-4 + 6 - 1).
5*k**4 - 4
Expand (3 - 4 + 2)*(0*y**2 - 6*y**2 + 0*y**2).
-6*y**2
Expand (-4*z + 0 - 1 - 1)*(-1 - 3 + 0).
16*z + 8
Expand (-2*t**3 + 0*t**3 + 2*t - 4*t)*(-4*t - t + 3*t).
4*t**4 + 4*t**2
Expand (4 + 4 + 2)*(-2*q + 4*q - 4*q) + (-4*q - 3*q + 5*q)*(2 + 1 - 4) + 4*q + 0*q - 2*q.
-16*q
Expand 2*z + 0*z - z + (-4 - 3 - 1)*(5*z - z - 3*z).
-7*z
Expand (2*a - 2*a - 2*a + 0*a + a - 2*a - a + a - 2*a + (-a + 3*a - 3*a)*(4 + 1 - 4) - 3*a + 5*a - a)*(1 - 1 + 2*a).
-10*a**2
Expand (-n + n**2 + n)*(0 + 2 - 4) - 15*n + 17*n - 2*n**2 + 0*n**2.
-4*n**2 + 2*n
Expand (-3 + 2*f**2 + 3)*(0 + 0 - 3*f).
-6*f**3
Expand 3*h**2 - 3*h**2 - h**3 + 2 + 4*h - 2*h**3 - 4*h + (-4*h + 4*h + 2*h**2)*(2 + 2*h - 2).
h**3 + 2
Expand (2*w**3 - w + 3*w - w**3)*(-2*w - 1 + 1).
-2*w**4 - 4*w**2
Expand (12 - 10 - 11)*(3*a - 5*a - a).
27*a
Expand (-2*a - a**2 + 2*a)*(-1 - 1 + 0) + (4*a**2 - 3*a**2 + 0*a**2)*(1 - 3 + 3).
3*a**2
Expand 6*o**5 - 2 + 2 + (2*o**4 + 3*o**2 - 3*o**2)*(-2*o + 2*o + 2*o).
10*o**5
Expand 4*l + 0*l - 3*l + (-3 + 3 - 2*l)*(7 - 3 - 3) - 5 + l + 5 + (2 - 3 + 2)*(-2*l - 2*l + 2*l) + 3*l + l - 6*l + l + 0*l - 2*l - 5*l + 2*l - 10*l.
-18*l
Expand (-5*o + o + 2*o + o - 2 + 2 + 2*o - 6*o + 2*o + (0 + 2*o + 0)*(-1 - 4 + 3) + 3 + 2*o - 3 - 1 + 1 - 2*o + o - 1 + 2*o - 2*o)*(3 - 1 + 4).
-36*o - 6
Expand (8*h**2 - 12*h**2 + 5*h**2)*(-2*h**3 + h**3 + 6*h**3).
5*h**5
Expand -t**2 - t**2 + 4*t**2 - t**2 - t**2 + t**2 + (-1 + 3 + 0)*(-4*t**2 + 2*t**2 + 0*t**2) + 0 + 0 + t**2 + 0 - t**2 + 4*t**2 + 1.
t**2 + 1
Expand (-5*u + 5*u + 15*u)*(-1 + 4 - 1).
30*u
Expand (-n - n + 0*n)*(-n**2 - n**2 - n**2) + 2*n**2 + 38*n**3 - 9*n**2 - 40*n**3.
4*n**3 - 7*n**2
Expand (5 - 1 - 3)*(2 - 2 - 2*j)*(-11*j**4 + 47*j**2 - 47*j**2).
22*j**5
Expand (-2 + 2*b + 2)*(1 - 1 + 2*b**2) + (-1 + 3 - 4)*(-4*b - 2*b**3 + 4*b).
8*b**3
Expand (-3 - 3 + 4)*(13 + 18 - 25)*(3*p + 0*p - 5*p).
24*p
Expand (3*j - 10 + 10)*(j - j - 3 + j**2).
3*j**3 - 9*j
Expand (-2*b**2 + b**2 + 0*b**2)*(3 + 1 + 10).
-14*b**2
Expand (-1 + 1 - r**2)*(-67*r**2 + 36*r - 36*r).
67*r**4
Expand (-4 + 4 + l)*(3*l**2 - 4*l - l**2 + 0*l**2).
2*l**3 - 4*l**2
Expand 10*k + 2*k**3 - 10*k + 2 + k**3 - 2 + (1 - k - 1)*(-2*k**2 - 4*k**2 + 5*k**2).
4*k**3
Expand -4*y**2 + 4*y**2 + 2*y**5 - 4*y**2 - 5*y**5 + 4*y**2 + (-1 + 1 + 2*y)*(-3*y**4 + 2*y**4 + 3*y**4) - 5*y**5 - 80*y**2 + 80*y**2.
-4*y**5
Expand (-2*i**2 + 0 + 0)*(i**3 - 2*i**3 + 0*i**3) - 3*i**5 - 7*i**5 + 3*i**5 + (i - 2*i**4 - i)*(2 - i - 2).
-3*i**5
Expand (0*l - 4*l + 2*l)*(-2 - 4*l + 2) + 2*l**2 + l**2 - 5*l**2 + (-2*l - 3*l + 3*l)*(-l + 0*l + 0*l) + l**2 - 1 + 1.
9*l**2
Expand (-4 - 8 + 4)*(w - 3*w + 4*w).
-16*w
Expand (220*v**4 + 149*v**4 - 68*v**4 - 54*v**4)*(v - 3*v + 0*v).
-494*v**5
Expand (-t + 5*t - t)*(4 - 1 - 2)*((-3 + 1 + 1)*(2 - 4 + 1) - 3 + 1 + 5).
12*t
Expand (7*z - 3*z + 0*z)*(-3*z**3 + 5*z**3 - 4*z**3 - 2*z).
-8*z**4 - 8*z**2
Expand (5*z - 3*z + 2*z)*(4*z**4 + 4*z**4 - 5*z**4) + (2*z**3 + 0*z**3 + 0*z**3)*(-3*z**2 + 0*z**2 + z**2) + 0*z**5 + 3*z**5 - 2*z**5.
9*z**5
Expand (4*r**4 + 4*r**2 + r**4 - r**2)*(-2*r - r + 2*r).
-5*r**5 - 3*r**3
Expand (-2 + 2 - 3*r)*(-8 + 19 + 8).
-57*r
Expand 97*g**4 - 6*g**2 - 98*g**4 - 2*g**2 + (2*g + 0*g - 3*g)*(3 - 3 + g**3).
-2*g**4 - 8*g**2
Expand (-2*p**2 - 11*p + 11*p)*(0 + 0 - 3) + 3*p**2 + p**2 - 5*p**2 + (1 + 1 - 1)*(-p**2 - p**2 + p**2).
4*p**2
Expand (d**4 - 8*d**4 - d**4)*((4 + 3 - 5)*(1 - 4 + 1) + 1 + 0 - 2 + 1 + 5 - 4)*(0 - 2 + 0).
-48*d**4
Expand (-380*o + 380*o + 2*o**2)*(-2*o**3 + 0*o**3 + 0*o**3).
-4*o**5
Expand (-10 + 10*r + 10)*(2*r + 3*r - 9*r + (5 + 0 - 4)*(-2*r + 3*r + 0*r)).
-30*r**2
Expand (d + 3*d + 0*d)*(4*d**2 - d**2 + 7*d**2).
40*d**3
Expand (3*i + 0*i - 4*i)*(-1 + 1 + 2*i**3) + (0 + 0 - 5*i**2)*(2*i**2 + 2 - 2).
-12*i**4
Expand (0*p**2 + 2*p**2 - 4*p**2)*(-4*p**3 + p**3 + p**3) + 12*p**5 - p**5 + 14*p**5.
29*p**5
Expand (2*j - 4 + 4)*(2*j**2 - 3*j**2 + 4*j**2)*(42*j - 11*j - 20*j).
66*j**4
Expand (-3 - f**5 + 3)*((-1 + 2 - 3)*(3 - 2 + 1) + 3 - 6 + 1 - 4 + 1 + 2 + (-1 + 0 + 0)*(-2 + 6 - 3)).
8*f**5
Expand (a**3 + 2*a**3 - 5*a**3)*(-1 + 8*a - 11*a + 2)*(2 + 6 - 2).
36*a**4 - 12*a**3
Expand (-8 + 8 + 2*a**2)*(3 - 3 + 1 - 2 + 4 + 0 + 1 - 2 - 1 + (0 - 2 + 0)*(6 - 1 - 3)).
-6*a**2
Expand (1 - 1 + s)*(-3*s**4 - 4 + 4) + 0*s**5 + 3*s**5 - 15*s**5.
-15*s**5
Expand (s**4 + 2 - 2)*(2*s - 3*s + 3*s) + (2*s**4 + 3*s**3 - 3*s**3)*(-4*s - 7*s + 0*s).
-20*s**5
Expand (-x**2 + 2*x**2 - 2*x**2)*(x**2 + 0*x**2 + 0*x**2) - x + 5*x - x**4 - 7*x.
-2*x**4 - 3*x
Expand 3*x**2 - 4*x**2 + 0*x**2 + (1 - 2 + 0)*(-2*x**2 - 5*x**2 + 5*x**2).
x**2
Expand (0*m - 4*m + 5*m + m - m - m + (-m + 1 - 1)*(-2 + 3 + 1))*(0 - 1 + 5).
-8*m
Expand 3 - g**2 - 3 + (-4 - 1 + 3)*(-11*g**2 + 103 - 103).
21*g**2
Expand -7*u + 6*u - 13*u + (-2*u - 5*u + 5*u)*(1 + 0 + 1) - u - u + 0*u - u - 1 + 1 + (5 - 2 - 2)*(0*u + 4*u - 2*u).
-19*u
Expand (2 + 3 - 2)*(1 + j**4 - 1).
3*j**4
Expand -2*p**2 - p**2 - 3*p**2 + (2 + 0 - 4)*(5*p**2 + 0*p**2 - 3*p**2) + (4 + 0 - 3)*(-3*p**2 + 0*p**2 + 2*p**2).
-11*p**2
Expand (4*h**2 - 3*h**2 + h**2)*(4 + 2 - 2)*(3*h + 0*h - h).
16*h**3
Expand (0 - 2*v + 0)*(-1 - 3 + 3) + (-6 - 4 + 4)*(-4*v - v + 3*v).
14* | {
"pile_set_name": "DM Mathematics"
} |
79 = 4*m. What is the ten thousands digit of h?
4
Let z be (0/(5/1))/1. What is the tens digit of z + 747 - (-2 - -5)?
4
What is the hundreds digit of 4*(-2)/(-1) + 406011/57?
1
Suppose -1543*g = -1570*g + 396684. What is the tens digit of g?
9
Let n be -6*(-3 - 224/6). Let x = n - 167. What is the tens digit of x?
7
Let j = 40491 - 23803. What is the thousands digit of j?
6
Suppose 5*l - 2*i = 23, -5 = 2*i - 7. Suppose -5 + 1 = -2*q - 4*j, 2*q = -l*j + 4. Suppose q*f - 5*k = 6*f - 216, 3*k = -4*f + 208. What is the tens digit of f?
4
Let l be (-11 + 12)*(1 - (-8 + 0)). Suppose -3*w = l, 0 = k - 0*k - w - 51. What is the tens digit of 2288/k + 4/3?
4
Let c(p) = 25*p**2 - 380*p + 117. What is the units digit of c(36)?
7
Suppose -1333*b = -1338*b + 5*i + 48465, 0 = 3*b + 2*i - 29104. What is the thousands digit of b?
9
Let i(s) = 5735*s**3 + 6*s**2 + 7*s - 9. What is the units digit of i(1)?
9
Suppose -590 = -a - v, -2*a - 10*v + 6*v = -1184. Suppose k + 2*j + 291 = 2*k, 2*k - a = -2*j. Let h = -184 + k. What is the units digit of h?
9
Let a(r) = r**3 + 6*r**2 + 2*r + 13. Let o be a(-6). Let z be (-72)/6 + o*2/1. What is the units digit of (-55*z/25)/(2/13)?
3
Let z = -7 + -18. Let w = -20 - z. Suppose 45 - 20 = w*y. What is the units digit of y?
5
Suppose 87*w - 8180 = 83*w. Suppose -14*h + 19*h = w. What is the hundreds digit of h?
4
Let n = -12346 + 23849. What is the ten thousands digit of n?
1
Let q(k) = -k + 19. Let t be q(17). Suppose -49 = i - t*i. Let d = 128 - i. What is the tens digit of d?
7
Suppose -22*f + 177656 + 20256 = 0. What is the units digit of f?
6
Let z(x) = -70*x - 131. Let m be z(-2). What is the thousands digit of m/(-36)*1546*-4?
1
Suppose -4*u = -23 - 61. Suppose 3*i + 3*l - u = 6*i, -3*i - 3*l = 9. Let w(m) = 4*m**2 + 4*m - 6. What is the units digit of w(i)?
4
Suppose 95 + 187 = -6*l. Let v = l - -90. Suppose 13*f + v = 14*f. What is the units digit of f?
3
Let z(a) = a**3 - 5*a**2 - 57*a + 67723. What is the hundreds digit of z(0)?
7
Suppose -63118 - 28338 = -53*q + 244935. What is the thousands digit of q?
6
Let h = 83114 + -38924. What is the hundreds digit of h?
1
Suppose -3*w + 18 - 138 = 0. Let k = 48 + w. What is the tens digit of (12/k)/((-15)/(-340))?
3
Let h(p) = -28*p - 96. Let j be h(-4). Suppose -4*n = j*n - 18060. What is the units digit of n?
3
Suppose -4*b - 6 + 14 = 0. Let d(g) = -b + 0 - 12 - 6 + 13*g. What is the units digit of d(8)?
4
Let l(z) = -54 - 125*z + 106*z + 12 + 72*z. What is the tens digit of l(6)?
7
Let y be (2 + -6)*(-3)/6. Suppose r + 3*h - 214 = 0, -3*h = -5*r + y*h + 1070. Let c = r - 133. What is the units digit of c?
1
Let u(i) = -i**2 + 3*i + 10. Let a be (0/3)/(5 - 3). Let v be u(a). Suppose -89 - 11 = -v*j. What is the tens digit of j?
1
Suppose 5*w + 3*y - 5094 = y, 5*w - 5085 = -5*y. Suppose -4*c + 2*p = -w, 0 = 3*c + 3*p + 138 - 912. What is the hundreds digit of c?
2
Suppose 0 = 9*b - 12*b + 9. Suppose -2*o = -b*u - 0*u, -4*o + 2*u = -8. Suppose -2*t + 3*m + 43 = -225, -o*m = -3*t + 396. What is the units digit of t?
8
Suppose -5*u - 177549 = -2*z, 314*u = 2*z + 310*u - 177542. What is the tens digit of z?
5
Let a be ((-4)/10)/(4/(-10)) - 5. What is the units digit of 1635519/1071 + a/42?
7
Let p(i) be the second derivative of -i**5/20 + i**4/4 + i**3/3 + 155*i**2 + 61*i. What is the tens digit of p(0)?
1
What is the tens digit of (-24 + 26)*((-30)/(-16))/((-9)/(-9948))?
4
Let m(h) = -4667*h + 2678. What is the hundreds digit of m(-3)?
6
Suppose 11*h - 14*h + 366 = 0. Suppose h = i + 27. Suppose -5*z - i = -6*z. What is the units digit of z?
5
What is the units digit of (-71)/(-142) - (-64757)/2?
9
Suppose -2*a - 5 = -y, 0*a + 3 = y - a. What is the tens digit of y/(3 + (1017/(-114))/3)?
3
Let u = 7729 - 3738. What is the hundreds digit of u?
9
Let w be (-3 - -6)/(2/2). Suppose -3*g = -5*t + 5, 4 = -w*t + 7. Suppose g = 3*y + 46 - 301. What is the tens digit of y?
8
Suppose -f + 10 = 4*f, 5*q - f - 3438 = 0. Suppose -3*o + 898 = 3*c + 208, -2*o + q = 3*c. What is the units digit of c?
8
Let x(z) = -15*z**3 + 2*z**2 - 2*z. Let q be x(1). Let t be ((140/q)/(-7))/((-4)/(-6)). Suppose -t*f = -f - 116. What is the units digit of f?
6
Let f(b) = b**3 - 11*b**2 - 7*b - 49. Let j be f(14). Suppose -j = -5*y - 4*m + 1171, -5*m + 1286 = 4*y. What is the hundreds digit of y?
3
Let o(t) = 3*t - 2. Let q be o(2). Let y = 252 + -256. What is the tens digit of (-92)/(q + 24/y)?
4
Suppose -12 = -4*d, -83 - 221 = -n - 3*d. Let l = n - 39. What is the tens digit of l?
5
Suppose 3*y - 2*y - 6 = 0. Let o = 1967 + -1956. Suppose y*b + 675 = o*b. What is the hundreds digit of b?
1
Suppose -5*a = -z + 27, 3*a - 34*z + 21 = -35*z. Let v(l) = -4 + 5*l**2 - 10*l - 4*l**2 - 12. What is the units digit of v(a)?
0
Suppose -2 = r - 4*v, 0 = 2*r - 0*r - 5*v + 16. What is the tens digit of ((-1043)/21)/(3/r)?
9
What is the tens digit of (-583008)/(-63) + (832/336)/(-26)?
5
Let r(w) = -17*w**3 - 19*w**2 - 49*w + 13. What is the ten thousands digit of r(-14)?
4
Let h(y) = -y**3 + 5*y**2 - 3*y + 19. Let l be h(4). Suppose -l = -r - 19. Let m = r + 104. What is the units digit of m?
8
Let z(o) = -379*o + 4. Let f(h) = 187*h - 2. Let r(a) = 7*f(a) + 3*z(a). What is the units digit of r(6)?
0
Let f(o) = o**2 - 32*o - 84. Let p be f(35). Suppose 5*r = 2*d + 86, 3*r = 5*d + 23 + p. What is the tens digit of r?
1
Suppose 14141 = 2*n + p, -5*p = 2*n - p - 14138. What is the thousands digit of n?
7
Suppose 670*x - 691*x = -99918. What is the units digit of x?
8
Let a(z) = -z**3 - z**2 + 11*z + 6. Let q be a(-4). Suppose 8*n = -2 + q. What is the tens digit of ((-1032)/6)/(-1 - n)?
8
Suppose -32*b + 29*b + 3*m = -8121, 2*b + 2*m - 5394 = 0. Suppose b = 2*p + 330. What is the thousands digit of p?
1
Let p(m) = m + 8. Let y be p(-5). Suppose y*z + 5*c = -2*z - 15, 5*z - c - 15 = 0. What is the units digit of (z + 17/(-4))/(3/(-96))?
2
Let d = 135 + -136. Let k(r) = -647*r - 3. What is the tens digit of k(d)?
4
Let o = 50888 + -28110. What is the hundreds digit of o?
7
Let n = 54 + -499. What is the units digit of (0 - 10/2) + (-59 - n)?
1
Let f(g) = -g**3 + 23*g**2 + 6*g - 136. Let r be f(23). Suppose 0 = 5*n - 3*l + 755 - 4101, 2*n - 1332 = -r*l. What is the hundreds digit of n?
6
Suppose 0 = -5*o - 10, -4*v + 64013 = 5*o - 30069. What is the thousands digit of v?
3
Let j(q) = -784*q + 19461. What is the ten thousands digit of j(12)?
1
What is the units digit of ((-618267)/(-13))/((-7)/(56/(-6)))?
2
Suppose -3*z + 86190 = 4*y, 5*y - 8*y = -2*z + 57477. What is the units digit of z?
4
Suppose 3*n = -4*d + 11683 + 9542, n + 1 = 0. What is the thousands digit of d?
5
Let s be (2/(-4))/(-2 - 63/(-30)). Let i(j) = 18*j**2 - 9*j - 23. Let f be i(s). Suppose 5*d = d + f. What is the units digit of d?
8
Let m = -2840 + 9032. What is the units digit of m?
2
Let q(d) be the third derivative of 5*d**4/24 + 2*d**3/3 + d**2. Let b = -34 - -42. What is the units digit of q(b)?
4
Let s(t) = -4*t - 3. Let y be s(-2). Suppose w - 53 = p, w + 0*p = y*p + 45. Suppose 0 = -4*i - 4*x + 228, 2*i - i - w = -2*x. What is the tens digit of i?
5
Let v(a) = -a**3 + 5*a + 5. Suppose -2*i - 2*i = -12. Let g be (-4)/i*((-6)/(-1))/2. What is the tens digit of v(g)?
4
Let d be (3 - (-3 - (-10 + 4))) + 5. Suppose d*b = 4*k - 2242, -b + 935 = 3*k - 756. What is the hundreds digit of k?
5
Let n(s) = -2*s**3 - 4*s**2 - 7*s + 4. Let i = -25 - -17. What is the hundreds digit of n(i)?
8
Let f(j) = -7*j + 4*j**2 + 0*j - 1 + 185*j**3 - 184*j**3. Let h be f(-6). What is the tens digit of (-6)/(h/132 + (-12)/(-72))?
8
Let h(z) = -24*z**2 + 55*z**2 + 10*z - 14*z**2 - 14 - 18*z**2. Let t be h(9). Let a(k) = k**3 + 9*k**2 - 3*k + 3. What is the tens digit of a(t)?
1
Let t(m) = -11*m + 25. Let j(p) = -p + 2. Let v(s) = -6*j(s) - t(s). Let l be v(6). Let y = l + -59. What is the units digit of y?
6
Suppose -801509 = -47*i + 931710. What is the thousands digit of i?
6
Let h = -10543 - -44969. What is the units digit of h?
6
Let g be -3 + 1/2*(26 - 6). Let h be -70 + (3 - g - -6). Let r = h + 108. What is the units digit of r?
0
Suppose 4*a + 2*x - 36974 = -x, 3*x + 37010 = 4*a. What is the units digit of a?
8
Let d(s) be the third derivative of s**5/30 + 17*s | {
"pile_set_name": "DM Mathematics"
} |
rime factors of d.
3, 7, 29
Let n = -1165 + 1991. List the prime factors of n.
2, 7, 59
Let v be 60/(-40)*(-4)/(-3). Let x(p) = p**3 + 5*p**2 + 5*p + 5. Let c be x(v). Suppose -c*z + 255 + 88 = 0. What are the prime factors of z?
7
Let m(o) = -o**3 - o**2 - 15*o - 39. List the prime factors of m(-5).
2, 17
Suppose 0 = -5*u - 2*g + 9, 2*u - 21 = 12*g - 7*g. Suppose -u*t = 15*t - 1926. What are the prime factors of t?
107
Let c = 80 - 80. Suppose 3*s = 2*t - 396, -4*t + 4*s = -c*s - 788. What are the prime factors of t?
3, 5, 13
Let c(p) = -p**3 - 5*p**2 - 1. Let h be c(-2). Let w(k) = -11*k + 16. What are the prime factors of w(h)?
3, 53
Suppose 0*s = s. Suppose 7*c - 2*c - 10 = s. List the prime factors of (c/(-6))/(3/(-522)).
2, 29
Suppose 112*q = 104*q + 18368. What are the prime factors of q?
2, 7, 41
Let q(k) = -20 + 28 + 2*k + 28. List the prime factors of q(0).
2, 3
Suppose 8*c - 7007 = 7273. What are the prime factors of c?
3, 5, 7, 17
Let d(p) = -p**3 + 3*p**2 + 2*p + 8. Let z be d(4). Let s be (5 - -105)*(1 - z). Suppose 0 = -v - 0*y - 4*y + 41, 3*v - y - s = 0. List the prime factors of v.
37
Suppose -15*u - 135 = -2205. List the prime factors of u.
2, 3, 23
Suppose 3*a = 61 + 14. Suppose -20*p - 55 = -a*p. List the prime factors of p.
11
Let m = 11 - 9. Suppose m - 6 = -j. Suppose -5*v + v + 83 = 5*a, v - j*a - 47 = 0. List the prime factors of v.
3
Let v(x) = -x**3 - 11*x**2 - 10*x. Let l be v(-10). Suppose -5*m + 31 = -3*p, -2*m - 3 = p - l*m. List the prime factors of 2*2*p/(-7).
2
Let w(v) = -41*v + 2. Let b(h) = -h**3 + 4*h**2 + 4*h + 3. Let d be b(5). Let a be w(d). What are the prime factors of a/20*5/1?
3, 7
Let j(v) = v**3 - 7*v**2 + 2*v. Let h be j(8). Let f = h + -46. Suppose -2*x + 4*y - f = -158, 4*x + 2*y - 198 = 0. What are the prime factors of x?
2, 13
Suppose 5*b = -4*w + 6317, 6*w + 3*b = 10*w - 6341. List the prime factors of w.
1583
Let c(a) = 12*a**2 + 13*a - 15. List the prime factors of c(-9).
2, 3, 5, 7
Let x = -7 - -7. Suppose g - 4*g + 24 = x. Suppose -s + 49 + g = 3*p, -4*p - 5*s = -87. What are the prime factors of p?
2, 3
Let n(h) = -1769*h + 147. What are the prime factors of n(-1)?
2, 479
Let t be (-6)/(-6) + 6/1. Let i be (-10)/35 - (-23)/t. List the prime factors of i/4*4 - -28.
31
Let m(s) = 114*s**3 - s**2 + 2*s - 1. Let o be m(1). Let a = o - 52. What are the prime factors of a?
2, 31
Let m = 461 + -323. Let h be ((-1)/(-2))/((-11)/(-10) + -1). Suppose h*x - m = -28. What are the prime factors of x?
2, 11
Suppose 3*u - 138 = -3*u. Let s = u - -34. List the prime factors of s.
3, 19
Let r(h) be the third derivative of -5*h**4/12 - h**3/6 + h**2. Let l be r(-7). Let y = -40 + l. What are the prime factors of y?
29
Let k = -39 - -48. What are the prime factors of ((12/k)/(4/90))/1?
2, 3, 5
Let l be 66 + (2 - -1) + -1. Let h = 129 - l. List the prime factors of h.
61
Suppose 0 = 2*a - 6*a + 5*s - 10, 2*a + 6 = 3*s. Suppose -2*z + 40 + 156 = a. List the prime factors of z.
2, 7
Suppose 0 = q - 4*w - 438, -4*q + 8*w - 13*w = -1794. List the prime factors of q.
2, 223
Suppose -x - 24 = -o, 4*o - 12 - 8 = 0. Let r = 108 + x. List the prime factors of r.
89
What are the prime factors of ((-53)/4)/(5*(-7)/980)?
7, 53
Suppose -9*d - 117 = -12*d. Suppose z = -3 + d. What are the prime factors of z?
2, 3
Let h = 980 + -625. List the prime factors of h.
5, 71
Suppose -10*t + t + 27 = 0. List the prime factors of 381/2 - t*1/6.
2, 5, 19
Let u = 311 + -217. Suppose 184 = 5*v + 4*i, 3*v + 5*i - 6 - u = 0. What are the prime factors of v?
2, 5
Let u(o) = 2*o - 12. Let d be u(8). Let h(x) = 2*x + d*x - 5*x + 4. List the prime factors of h(2).
2, 3
Let i be ((-6)/2)/((-2)/4). Suppose i*z + 16 = 2*z. Let u(g) = -g**3 - 4*g**2 - 2*g + 1. List the prime factors of u(z).
3
Suppose -2*h = 3*h - 25. Suppose -4*c + 6 = 5*d, h*c - 5*d - 26 = c. Suppose 21 = r + 4*k, 8*k = c*k + 12. What are the prime factors of r?
3
Let k = 583 - 50. List the prime factors of k.
13, 41
List the prime factors of 4/(-12)*-24 - -779.
787
Let p(t) = 2*t**2 - 6*t + 2740. What are the prime factors of p(0)?
2, 5, 137
Let l be 0 + (-4)/(-10) - (-1914)/15. Suppose -l = -6*n + 52. What are the prime factors of n?
2, 3, 5
Let c = 359 + 28. List the prime factors of c.
3, 43
Let b(h) = h**2 + 8*h + 27. Let l be b(8). Suppose -5*v - l = -3*k, 3*v + 204 = 4*k - v. What are the prime factors of k?
2, 5
Let s be ((-11)/1)/(-3 + 2). Let j = s + -6. Let c = j - -5. List the prime factors of c.
2, 5
Let v = 674 - 36. What are the prime factors of v?
2, 11, 29
Let k(t) = -2*t**2 - 2*t + 2. Let z be k(-3). Let a = z - -10. Suppose 2*b + 3*b - 135 = a. What are the prime factors of b?
3
Suppose 0 = 7*z + 28, 2*n = 4*z - 7*z + 4220. List the prime factors of n.
2, 23
Let f be (-21)/(-2) - 2*(-6)/(-8). Suppose -f*b + 397 = 73. List the prime factors of b.
2, 3
Suppose f + f - 2870 = 0. What are the prime factors of f?
5, 7, 41
Suppose -s = -4*w + 6, -9 = -s - 2*w + w. Suppose 258 + 162 = s*t. List the prime factors of t.
2, 5, 7
Let z = 1267 + -480. List the prime factors of z.
787
Let y = -18 + 20. Let s be -17 + (-2 - -4) + y. Let w = s + 49. List the prime factors of w.
2, 3
Suppose -32 = u - 5*c, 0 = -u + 4*u + 2*c + 28. Let s be 130/u + 4/(-24). Let p(t) = -t**2 - 15*t - 13. List the prime factors of p(s).
31
Let j(y) = -26*y**2 + 105*y - 2. Let s be j(4). Suppose -2*q - 5 + 13 = 0. What are the prime factors of 246/q + s/4?
2, 31
Suppose 0 = 6*l - 9*l + 1431. What are the prime factors of l?
3, 53
Let k be (-6)/9 + (-12)/9. Let g be (-314)/k - (-6)/(-2). Let j = -91 + g. What are the prime factors of j?
3, 7
Let f(p) = -42*p - 104. List the prime factors of f(-20).
2, 23
Suppose j + j = 1582. List the prime factors of j.
7, 113
Let h(b) = -b**3 + b**2 - 2. Let s(x) = -x**2 + 5*x. Let u be s(6). List the prime factors of h(u).
2, 5
Suppose -7490 = 61*x - 75*x. List the prime factors of x.
5, 107
Suppose -12*v - 63 = -5*v. Suppose -2*d + 5*u = 29, 12 + 5 = -d + 5*u. List the prime factors of (v - d)*34/6.
17
Let f = -42 - -74. Let d = -16 + f. Suppose d = t + 3*t. List the prime factors of t.
2
Let f(h) = 29*h**3 + 2*h**2 - 2*h. Let g(y) = y**2 + 4*y + 4. Let k be g(-3). List the prime factors of f(k).
29
List the prime factors of 1 + 5697/(-18)*-20.
13, 487
List the prime factors of (-6 + (-275)/(-44))/(1/164).
41
Suppose 3*s + 3*s = 18. Let w be -4 + 2 + 0 + s. List the prime factors of (66/2)/1 + w.
2, 17
Let v = -3 + 3. Suppose -5*c + 8*c = v. Suppose -45 = -3*t - c*t. List the prime factors of t.
3, 5
Let y(t) = -t**2 + t + 8. Let n be y(7). Let r = n - -56. What are the prime factors of r?
2, 11
Let u = 17 + -12. Suppose 27 = 3*h + 4*s - 5, 5*s = -h + 29. Suppose -h - 6 = -u*z. What are the prime factors of z?
2
Suppose 9*o = 4*o + 20. Suppose -o*m - 2*i + 121 = m, -5*i + 61 = 2*m. Let u = m - 2. List the prime factors of u.
3, 7
Suppose -2*g = -3*b + 45, -g + 74 = -4*g - 2*b. Let v be (g/(-10))/(4/10). Let m(f) = 8*f - 5. List the prime factors of m(v).
43
What are the prime factors of ((-4)/6)/((-12)/1170)?
5, 13
Let o = 55 - 15. Let h be o/14 - 1/(-7). Suppose -3*b = -2*n + h, 0 = -4*n + 4*b - 5*b + 13. List the prime factors of n.
3
Suppose 0 = -4*i + 5 + 91. Suppose 2*k + i - 72 = 0. Suppose d - k = -d. What are the prime factors of d?
2, 3
Let m(u) = 1 - u + 3*u - 3*u + u**3. Suppose -5*c = 4*a - 23, 5*a - 22 = -4*c - 0. What are the prime factors of m(c)?
5
Let x(i) be the first derivative of i**2 - 11*i + 5. Let q be x(8). Suppose -4*d = -q*w - 53, -d - 5*w = -0*w - 32. What are the prime factors of d?
17
Suppose 0 = -2*x - 41 + 109. Suppose 0 = 2*p + x - 84. Suppose -3*q = 2*z + 3 + 1, 0 = -5*q + 3*z + p. List the prime factors of q.
2
Let n(l) = l**2 - 3*l + 2. Let s be n(2). Suppose -j + 4*j - 12 = s. Suppose 2*b = 5*z - 155, 3*b + 89 = 3*z - j. List the prime factors of z.
31
Suppose -b - 16419 = -8*b + o, -7047 = -3*b + 3*o. What are the prime factors of b?
5, 7, 67
What are the prime factors of (1749/(-15) - 4)/((-30)/100)?
2, 3, 67
Let g be 6/(-4)*(-70)/21. Suppose 0 = -g*q + 2*q + 15. Suppose -95 = -q*v - f, -2*v + 19 = 4*f - 19. List the prime factors of v.
19
Suppose 12*r - 9*r = -405. List the prime factors of (-4)/(-18) + (-2535) | {
"pile_set_name": "DM Mathematics"
} |
6
Let y(a) = 17*a - 4. Let g be y(1). Suppose 3*c - g = 5*z, -2*c - z - 6 = -6*c. Let x(r) = -9*r**2 - 2*r + 1. Calculate x(c).
-10
Let f(q) = -9*q + 12810*q**3 - 5*q**2 - 6403*q**3 + 8 - 6406*q**3. Calculate f(6).
-10
Let o = -2 + 2. Let z(t) be the second derivative of t**4/12 + t**3/6 + 3*t**2 + 13*t. Let j be z(o). Let v(m) = m - 3. Give v(j).
3
Let q(b) = -25 + b**2 - 3*b + 8*b + 5*b. Let o be q(-12). Let h(u) = 1 - u**2 - u**2 - u**3 + 0*u**3. What is h(o)?
0
Let w(q) = q**2 + 5*q - 1. Let m be w(-4). Let o = 4 - 2. Let x(k) = 6 + k**o + k + k**3 + 6*k + 5*k**2 - 1. What is x(m)?
-5
Suppose 76 - 28 = 4*o. Let g be -14 + 0 + (-2 - -4). Let a = g + o. Let w(k) = -k**2 + k - 1. What is w(a)?
-1
Let f(v) = -3*v - 8. Let t be f(-7). Let w be 2/t - 44/(-52). Let p(l) = -3*l + 5. Let u(b) = -b. Let g(s) = w*p(s) - 4*u(s). Give g(-6).
-1
Let h(v) = 4*v**3 - 6*v**2 - 2*v + 2. Let p be h(1). Let o(l) = l**3 + 2*l**2. Calculate o(p).
0
Let m = -3 - -6. Let b(y) = -2*y**2 + y**3 - m*y**2 + 2*y - 6 + 5 - 7*y. Let v be 12/(-2*(-2)/(4 - 2)). What is b(v)?
5
Suppose 8*o - 45*o = 259. Let w(v) = -5*v + 4*v + 2*v. What is w(o)?
-7
Let r(s) = -s**2 - s - s**2 - 150 + s**2 + 148. Suppose -5*j + 0 = 10. Determine r(j).
-4
Let i(z) = -z + 4. Suppose 4*c = -2*a + 46, 4*a - 12 = -0. Give i(c).
-6
Let m be (10/4)/((-151)/(-302)). Let y(f) be the first derivative of -f**3/3 + 2*f**2 - 4*f - 1. Determine y(m).
-9
Let q = -35 - -30. Let x(f) = f**3 - 6*f**2 + 7*f + 6. Let j(h) = 2*h**3 - 7*h**2 + 8*h + 6. Let s(d) = -2*j(d) + 3*x(d). Calculate s(q).
6
Let p(o) = -o**2 + 4*o - 1. Let w(u) = 2*u**2 - 5*u - 3*u**2 + 1 - 4 + 7. Let z be w(-5). What is p(z)?
-1
Let x(n) = -3*n - 4. Let u be (-3 - (-2)/(-2))/((-1)/(-6)). Let h = u - -27. Give x(h).
-13
Let b(v) = 14*v. Let k(q) = -q**3 - 15*q**2 - 3*q - 18. Let s(c) = 3*c**3 + 45*c**2 + 10*c + 55. Let u(f) = -7*k(f) - 2*s(f). Let o be u(-15). Calculate b(o).
14
Let n = 25 + -14. Let f(s) = -1 + n*s**2 + s - 11*s**2 - s**3. Let t(x) = x**2 - 10*x - 22. Let j be t(12). What is f(j)?
-7
Let a(n) = -2*n - 2*n**2 - 4*n**3 - 2 + 6*n**2 + 3*n**3 + 4*n. Let r = 8 - 4. Calculate a(r).
6
Let m(u) be the first derivative of u**3/3 - 7*u**2/2 - 10*u + 69. What is m(7)?
-10
Let o(q) = q**2 + 2*q. Let j(x) = 2*x**3 - 4*x**2 + x - 3. Suppose 3 = 2*a + 3*y + 7, 3*a = 3*y + 9. Let s(g) = a*o(g) + j(g). Determine s(2).
7
Let a(g) = 1 + 21*g + 15*g + 14*g - 2 - 48*g. What is a(-4)?
-9
Let a(d) = 2*d - 41. Let y(k) = 4*k + 10. Let g be y(3). Let l be a(g). Let c(x) = x**3 - 4*x**2 + 4*x. What is c(l)?
3
Let x = 5 - 2. Suppose 0 = -3*l + 3 + x. Let p(b) = -b**2 + 7*b**2 + 7*b - 3*b**2 + 1 - l*b**2. What is p(-5)?
-9
Let k(d) = -9*d**3 - d**2 + d. Suppose -5*g - 2*u = -7*u - 95, 0 = -4*u. Let l = g - 16. Let z = l - 2. Give k(z).
-9
Let a(n) be the third derivative of -n**8/20160 - n**6/720 + n**5/3 + 3*n**2. Let f(u) be the third derivative of a(u). Give f(2).
-5
Let t(y) be the second derivative of -5/2*y**2 - 12*y - 5/3*y**3 + 0 - 1/12*y**4. What is t(-9)?
4
Let o be -23 - -13 - -10*1/2. Let l(j) = -j**3 - 3*j**2 + 4*j. Give l(o).
30
Let n(u) = 0 + u - 1 + 12*u - 6*u - 1. Give n(5).
33
Let g be 2*(-4 + 1 + 4). Let m(h) = 2*h**2 - 8*h**2 - 5*h**g + 8*h**2. Calculate m(2).
-12
Let r(s) = -7 + 10*s**2 - 1908*s + s**3 + 16 + 1898*s. What is r(-11)?
-2
Let x(y) be the first derivative of -y**4 - y**3/3 + 3*y**2/2 + 3*y - 63. Calculate x(-2).
25
Let g(p) = 44*p**3 + 8*p + 44*p**3 + 35*p**3 + 7*p**2 - 12 - 124*p**3. What is g(8)?
-12
Suppose 4*w = 2*w + 4. Let t(i) = -i**2 - 3*i**2 + 6*i - i**w - i**3 - 3. Let y be (2/4)/((-11)/132). Determine t(y).
-3
Let p = -37 - -42. Let k(j) = 0*j**3 + 4 + 34*j + j**3 - 40*j - 5*j**2 + 2*j**2. What is k(p)?
24
Let r(x) = 2*x + 1. Let l(g) = g. Let j(c) = -5*l(c) + 2*r(c). Let q = 95 + -97. Determine j(q).
4
Let a(d) = d + 2. Let y(g) = 3 - 4 + 2. Suppose -2*h - 9 = -j, 5 = -11*j + 12*j. Let p(s) = h*y(s) + 2*a(s). Give p(7).
16
Suppose 28*z + 70 = -42. Let v(x) = -x**3 - 3*x**2 + 3*x + 7. Determine v(z).
11
Suppose -m = -2*n + 7, 2*n + n = -2*m. Let l(a) = -64 - 2*a - a**3 - 17*a**2 + 14*a**n + 63. What is l(-1)?
-1
Let y = 1169 - 1176. Let o(a) = 3*a**2 + 13*a + 8. Let q(c) = -7*c**2 - 27*c - 17. Let l(i) = 5*o(i) + 2*q(i). Calculate l(y).
-22
Suppose -2*h + h = 6. Let p(y) = 73 - 143 - 5*y - y**2 + 66. What is p(h)?
-10
Let w(f) = f**3 + 4*f**2 - 13*f - 3. Let q be 3 + ((-6)/(-12) + 1)*-6. Calculate w(q).
3
Suppose 0*m + 3*m + 105 = 0. Let z = -30 - m. Suppose z*t + 10 = 35. Let w(r) = -r**2 + 4*r + 7. Determine w(t).
2
Let k(x) = -x**3 - 3*x**2 + 4. Suppose -2*f = 34 + 36. Let v be (-4)/(-10) - 546/f. Suppose 0 = -5*j + 1 - v. Determine k(j).
4
Let d(f) be the third derivative of 0 - 6*f**2 - 5/24*f**4 - 1/20*f**5 + 0*f + 0*f**3. Let j(w) = 4*w**2 + 5*w + 1. Let i(h) = 5*d(h) + 4*j(h). What is i(6)?
10
Let y(w) be the first derivative of w**4/2 + 7*w**3 + 4*w**2 - 10*w - 294. Give y(-10).
10
Let p(l) be the first derivative of l**3/3 - 2*l**2 - 7*l + 44. Let q = -7 + 12. Determine p(q).
-2
Let t(a) be the first derivative of a**3/3 - 11*a - 8. Let s(q) = 3*q**2 - 33. Let n(z) = -6*s(z) + 17*t(z). What is n(0)?
11
Let j(r) = 5*r + 2. Let a(z) = -z**3 + 10*z**2 + 10*z + 9. Suppose 0 = -4*o + 5*k + 49, 2*o - 4*k - 5 = 21. Let c be a(o). Determine j(c).
-8
Let y = 237 - 232. Let h(g) = 20*g**2 + 8*g - 1. Let n(u) = 7*u**2 + 3*u. Let s(j) = 6*h(j) - 17*n(j). Determine s(y).
4
Let a(i) be the second derivative of -i**4/8 + 7*i**2/2 + 5*i. Let f(u) be the first derivative of a(u). Determine f(-1).
3
Let z(d) = -d**3 + 7*d**2 + 8*d + 6. Let f be z(8). Let p(o) = -o**3 + 7*o**2 - o - 5. Calculate p(f).
25
Let b(z) be the second derivative of 5/6*z**3 + 1/2*z**2 + 17*z + 0 - 1/12*z**4. Determine b(6).
-5
Suppose 4*r + 6 = 14. Let u(p) = 8*p - 1 - p - 22*p + 5*p. Give u(r).
-21
Let u(i) = 13*i + 1 - 5*i**2 - 2*i**3 - 9*i + 3*i**3. Calculate u(4).
1
Let g(m) = -m**2 - 4*m. Let y be (-3)/((-6)/(-4)) - (-2 + 0). Let r be (y - 8/2)/((-42)/(-21)). Calculate g(r).
4
Let m(u) = u**3 + 2*u**2 + 5*u + 7. Let p be m(-3). Let r = 18 + p. Let v(z) = -2*z + 5*z**2 - r - 5*z**2 + 3*z**3. Give v(-1).
-2
Let f(m) = 2 - 3361*m**2 - 6 - m + 0 - m**3 + 3355*m**2. Calculate f(-6).
2
Let i(k) be the third derivative of 7*k**4/12 - k**3/3 - 2*k**2 - 3. Determine i(3).
40
Let t = -224 - -221. Let s(x) = 4*x + 3. Calculate s(t).
-9
Suppose -2*b + 12 = 2*q, 3*q - 2*q - b - 2 = 0. Suppose -3*x + q*d + 25 = 2*d, 2*x - 22 = -4*d. Let w(k) = -k - 12. Determine w(x).
-21
Let s(c) = 6*c + 6*c**2 - 6*c**2 + 2*c**2. Let d be (-54)/12 + (-4)/(-8). Determine s(d).
8
Let n(v) = -3*v**2 - 3*v + 8. Let c(k) = -4*k**2 - 4*k + 10. Let y(u) = -2*c(u) + 3*n(u). Give y(0).
4
Let k(j) be the second derivative of 0 - 4*j - 5/6*j**3 - 1/12*j**4 + 0*j**2. Let d(i) = i - 3. Let b be d(-3). Calculate k(b).
-6
Let i(w) = -36 + 6 + 5 + 4 + 5 - w. Calculate i(-12).
-4
Let k(t) be the second derivative of -t**8/6720 - t**7/420 + 7*t**6/720 - 3*t**5/40 + t**4/2 - t. Let a(p) be the third derivative of k(p). Give a(-7).
-9
Let y be (-6)/(-4)*4/3 + -38. Let o be 0*-3*3/y. Let r(p) = -2 - 2*p + 3*p + 4. What is r(o)?
2
Let j(s) = s**3 - 3*s**2 - 4*s + 2. Let w = -103 + 107. Calculate j(w).
2
Let h(b) = 15*b + 2. Let j(d) = 8*d + 1. Let t(w) = 3*h(w) - 5*j(w). Let n be (-1 - 1)/((-2)/4). Suppose -5*u + n + 1 = 0. Determine t(u).
6
Let i(l) = 8*l + 25. Let o(c) = -3*c + 1. Let f(w) = -i(w) - 2*o(w). What is f(-11)?
-5
Suppose 2*x - 5*j = 21, -2*x = j - 6 + 3. Let b(v) be the second derivative of 0 + 5*v - 1/6*v**3 + 5/2*v**2. What is b(x)?
2
Let o(w) = -5*w - 11. Let g(z) = -3*z - 5. Let k(p) = 9*g(p) - 4*o(p). Suppose 0 = -3*n + 9 - 6. Give k(n).
-8
Let r be 22/7 + -3 + 60/21. Let l(i) = 72*i**2 + 3 + i - 4*i**3 - 79*i**2 + 5*i**r. Determine l(7).
10
Suppose -11*d + 4*d = 0. Let n(w) = w**2 + 2*w + 5. Let h be n(d). Let v(t) = -t**2 + 3*t - t**3 + 5*t**2 + 2 + 2*t. Determine v(h).
2
Let w(n) = 42*n + 30. Let j(p) = -10*p - 1. Let h(i) = 4*j(i) + w(i). Calculate h(-13).
0
Let p(q) be the third derivative of 7*q**4/12 + q**3/3 + 12*q**2. Let c(a) = -27*a - 4. Let v(l) = 6*c(l) + 11*p(l). Determine v(-2).
14
Let f(c) = -c**3 - 2*c**2 - 2*c + 1. Let r be -4*(33/(-12) - - | {
"pile_set_name": "DM Mathematics"
} |
Let l = -15 - -9. Let k = 15 + l. Suppose 0*t = -3*x - 4*t + 47, -3*x + 2 = -5*t. What is the least common multiple of k and x?
9
Let s(z) = -z - 2. Let g(y) = 2*y + 4. Let b be g(-6). Let u = 9 + -5. Calculate the smallest common multiple of u and s(b).
12
Suppose 0 = -5*q + 4*g + 6804, q - g = -q + 2724. Calculate the smallest common multiple of q/77 - (-4)/14 and 20.
180
Suppose 46 = 3*h + 16. What is the smallest common multiple of 12*(15/12 - (-2)/(-8)) and h?
60
Suppose 7*j - 16 - 61 = 0. Calculate the lowest common multiple of j and 44.
44
Let a = 5 + 18. What is the common denominator of a and 125/6?
6
Suppose b - 3*h = 2*h - 20, 3*b + 10 = 5*h. Suppose b*n - 3*n - 18 = 0. What is the lowest common multiple of 8 and n?
72
Let s = 52/3 + -971/42. Find the common denominator of s and (-1)/2 + 4/(-10).
70
Let g = 17263/6 + -2896. Find the common denominator of -1 + 2/((-84)/(-171)) and g.
42
Let i be (-1)/(-1) - 0 - -2. Suppose 0 = i*k + 14 - 50. What is the lowest common multiple of k and 14?
84
Suppose -6 = -v + 16. Suppose 72 = 5*h + n, 4*n + 46 = 4*h - n. What is the smallest common multiple of h and v?
154
Let c(g) = g**3 + 10*g**2 - 11*g + 4. Calculate the lowest common multiple of 28 and c(-11).
28
Calculate the common denominator of ((-9)/8)/((-40)/(-32)) and -37.
10
Let z = 40 + -18. Let y = 4 - 0. Suppose y*m - 27 = 5. What is the least common multiple of z and m?
88
What is the common denominator of 57/8 - (-6 + 5) and 97/2?
8
Let y(d) = -5*d - 4. Suppose -9 = -7*t + 10*t. Calculate the lowest common multiple of y(t) and 11.
11
Let z = -15029173/7010152 + 427/5881. Let i = 34/13 + -5170/1937. Let l = i + z. Find the common denominator of l and 85/2.
8
Let v(q) = -q**2 - 5*q + 7. Let o be 1/2*36/(-3). What is the least common multiple of v(o) and 3?
3
Suppose -60 = -5*z - h, 3*z - 5*h + 36 = 4*z. Calculate the least common multiple of (6/(-5))/(2/(-5)) and z.
33
Let a(g) = -g**2 - 3*g + 2. Suppose -42 + 12 = 5*y + 3*m, -5*y + 5*m = -10. Calculate the lowest common multiple of a(y) and 2.
2
Suppose -f + 40 = 3*f. Let w(p) = -p**2 + 5*p - 1. Suppose 0*o = 2*o - 8. Calculate the smallest common multiple of f and w(o).
30
Let q = 103061/18 - 5732. Calculate the common denominator of -38 and q.
18
Suppose -7*i - 56 = -3*i. Let u = i + 22. Calculate the smallest common multiple of u and 6.
24
Let h = -44 + 69. Let x = h - 11. Calculate the smallest common multiple of 22 and x.
154
What is the common denominator of ((-89)/3)/((-24)/9) and (-10)/(-44)*(-23)/5?
88
Let g = 6/17 + -64/85. What is the common denominator of -87/4 and g?
20
Suppose -8 - 14 = 2*f. Calculate the common denominator of (-114)/(-15)*5/f and 51/11.
11
Let f(x) = x**3 - 11*x**2 - x + 10. Let v be f(11). Let s(l) = l**2 - l - 1. Calculate the least common multiple of s(v) and (-3)/(8/(-6) + 1).
9
Suppose 0 = t + 1 - 7. Suppose i = 4 + 2. Calculate the least common multiple of i and (-112)/(-6) - t/9.
18
Let u(o) = -8*o - o**2 - o**2 - 8 + o**2. Let x be u(-6). Suppose -19 = -x*r + 17. Calculate the smallest common multiple of 3 and r.
9
Let w = 676 + -2074/3. What is the common denominator of 77/8 and w?
24
What is the common denominator of (-3 + -70)/(-15*(3 + -2)) and 13/48?
240
Let a(s) = -s**2 - 7*s + 1. Suppose w - 17 = 2*q, 4*q + 44 = 3*w + w. What is the lowest common multiple of a(q) and 3?
21
Let v = -83/63 + -46/7. What is the common denominator of v and (1925/(-30))/(-5) - 3?
18
Suppose -y - 30 = -5*h, -3*y + 10 = 3*h - 2*y. Calculate the least common multiple of h and 10.
10
Suppose 4 = 4*k, -255 = 5*v + k - 36. Calculate the common denominator of -27/22 and v/(-10)*200/(-224).
154
What is the common denominator of (-74)/(-24) + (-3)/12 and 101/4?
12
Suppose 0 = -4*j - 2*y + 557 + 195, 4*y = 5*j - 940. Calculate the smallest common multiple of j and 14.
1316
Let y be (1/(-2))/((-1)/2). What is the lowest common multiple of (1 + 1)*4 - y and 1?
7
Let f be 3/(-4) + (-42)/8. Let a be (2/f)/((-3)/18). Suppose 0 = -4*m + a*m + 20. Calculate the least common multiple of m and 2.
10
Calculate the common denominator of (25/(-2))/5 + 1/4 and -83/16.
16
Let q(w) = -w**2 + 4*w - 3. Let c be q(4). Let m = c + 0. What is the lowest common multiple of 4 and ((-14)/(-3))/(m/(-9))?
28
Let f(p) = -p + 5. What is the least common multiple of 8 and f(-2)?
56
Let h = -6 - -7. Let u = -3 + h. Calculate the common denominator of (-19)/(-14)*(u - -1) and -67/10.
70
Find the common denominator of 368/(-12)*(-5)/16 and -31/18.
36
Let j = 5709/4 + -1438. What is the common denominator of j and (-70)/(-18)*20/14?
36
Let z be 1 + -2*(-2)/4. Suppose -4*o + 40 - 2 = s, -z*o + 26 = -3*s. What is the lowest common multiple of o and 4?
20
Find the common denominator of -25/4 and (-130)/16 - 0/(-2).
8
What is the common denominator of 14/56 - (-83)/(-36) and -53/10?
90
Suppose -2*z + 28 = 2*z. Suppose -29 = 5*c + 1. Calculate the lowest common multiple of z and ((-84)/c)/(4/2).
7
Let m = 9910 - 559. Let p = -93429/10 + m. What is the common denominator of p and 53/6?
30
Suppose -2*j = 2*j. Suppose -4*u + 16 + 8 = j. What is the lowest common multiple of u and 10?
30
Let v = 1 - -1. Calculate the smallest common multiple of v and 3 - 24/(4/(-1)).
18
Let m(z) = -z**3 + 6*z**2 + 7*z + 6. Suppose -p + 14 = p. Let j(y) = y**2 - 2*y. What is the lowest common multiple of m(p) and j(-2)?
24
Let v(j) = j**3 - 21*j**2 + 23*j + 22. Let t be v(19). Let q be 5266/20 - 0/(-1). Let h = t + q. Calculate the common denominator of h and -55/9.
90
Let b = -30 + 32. Suppose -q - 103 = -4*k, -k - 3*q + 28 = -q. Calculate the least common multiple of b and k.
26
Let o = 3651 - 182663/50. What is the common denominator of o and -47/18?
450
Let o(l) = 2*l**2 + 4*l - 6. Let j be o(4). Suppose -4*a = 3*x - j, -3*a = -2*x - x + 63. What is the lowest common multiple of x and 18?
18
Let u = 697/28 - 177/14. Find the common denominator of 71/16 and u.
16
Let t(h) = 8*h**2 - h - 6. Let k(l) = 15*l**2 - 2*l - 11. Let d(v) = 6*k(v) - 11*t(v). Calculate the lowest common multiple of d(-1) and 7.
21
Suppose -4*a + 7 = -9. Suppose -152 + 42 = -5*p + 3*m, 0 = 5*p - 4*m - 110. Calculate the lowest common multiple of p and a.
44
Let w(o) = -13*o - 1. Let y be w(-2). Suppose -10 = -5*s + y. What is the least common multiple of s and 1?
7
What is the least common multiple of ((-24)/14)/(26/(-455)) and 6?
30
Calculate the smallest common multiple of 10 and (-20)/10*(-5)/2.
10
Let y = 5 + -2. Suppose 21 = -y*v + 6*v. Suppose 3*g - v - 2 = 0. Calculate the lowest common multiple of 11 and g.
33
Suppose 0 = -2*y + 3*y - 5*n, -9 = 3*n. Let l be (475 - 1)*y/10. Let j = l + 2761/4. Find the common denominator of j and -57/10.
20
Find the common denominator of -25/2 and 727/(-30) + (-4)/(-10).
6
Let y = -46 - -81. Let m = y + -17. Calculate the smallest common multiple of m and 4.
36
What is the common denominator of 37/4 and 516/270*15/12?
36
Suppose 2*v - 4*n + 17 = -v, -5 = -v - 4*n. Let j(p) = p**3 + 3*p**2 - 4*p - 3. Suppose -30 = -0*g - 5*g. What is the least common multiple of g and j(v)?
18
Let a = 4659/460 + 14/115. Let j = -30819/6290 - 1/3145. Calculate the common denominator of a and j.
20
Let r = -2259 - -7101. Let p = r + -106493/22. Find the common denominator of 0 - (39/(-36) + 4) and p.
132
Let x(v) = -10*v**3 + v**2 + 2*v + 1. Calculate the least common multiple of 4 and x(-1).
20
Suppose -3*c - 3*k + 21 = -24, k - 63 = -5*c. What is the least common multiple of c and 8?
24
Find the common denominator of ((-31)/93)/(1/28) and 52/15.
15
Suppose -3 = 4*b - 2*v - 5, -2*b = 4*v + 14. What is the smallest common multiple of (-40)/5*b/1 and (-40)/(-4) + -1 + -1?
8
Suppose -z - 8*z = -18. What is the least common multiple of 2 and z?
2
Let m(h) = 2*h**2 + 2*h - 4. Calculate the lowest common multiple of 1 and m(2).
8
Let a be 5*(-2 + 72/20). Let n(o) = 9*o**2 + o - 1. What is the common denominator of (-2)/a*2222/(-33) and n(2)?
6
Suppose -3*y + 4*y + 5 = 0. Let k = 2 - 1. Let r = k - y. Calculate the least common multiple of 11 and r.
66
Let l = -13489 + 364144/27. What is the common denominator of 64/15 and l?
135
Find the common denominator of 11/98 and (-606)/(-28)*(-35)/(-30).
196
Suppose 3*l + 13 = -14. What is | {
"pile_set_name": "DM Mathematics"
} |
and 16304?
2038
What is the highest common factor of 77420 and 9559?
79
What is the greatest common factor of 23513 and 224?
7
What is the greatest common factor of 5598 and 36076?
622
Calculate the highest common factor of 15023 and 1577.
83
Calculate the greatest common factor of 103 and 641484.
103
What is the highest common divisor of 7670478 and 318?
318
What is the highest common factor of 8352 and 30160?
464
Calculate the highest common divisor of 115797 and 174.
87
Calculate the greatest common divisor of 1952 and 1296.
16
Calculate the greatest common factor of 2063578 and 2134.
2134
What is the highest common factor of 1445485 and 235?
235
What is the highest common divisor of 426 and 3102771?
213
What is the greatest common divisor of 20995 and 133?
19
What is the highest common factor of 1025 and 5150?
25
Calculate the greatest common divisor of 107270 and 340.
170
Calculate the highest common divisor of 186075 and 225.
225
What is the highest common divisor of 578650 and 20?
10
What is the greatest common divisor of 36158 and 28282?
358
Calculate the highest common factor of 3064 and 2200.
8
What is the greatest common divisor of 7383 and 144450?
321
Calculate the highest common divisor of 738 and 19524.
6
What is the highest common factor of 441471 and 18941?
1457
Calculate the highest common divisor of 15 and 12391305.
15
Calculate the greatest common factor of 250 and 22130.
10
What is the greatest common divisor of 5676228 and 348?
348
Calculate the highest common divisor of 7467 and 9563.
131
Calculate the greatest common factor of 695620 and 190.
10
What is the greatest common divisor of 147118 and 34?
34
Calculate the highest common divisor of 236 and 620.
4
Calculate the highest common factor of 345 and 1171551.
69
Calculate the greatest common factor of 2494 and 2552.
58
Calculate the highest common factor of 108756 and 2703.
159
What is the highest common factor of 21609 and 84?
21
What is the highest common factor of 4548 and 1829433?
1137
Calculate the greatest common divisor of 57 and 15370620.
57
What is the greatest common factor of 46 and 135263?
23
Calculate the highest common divisor of 103507 and 6408.
89
Calculate the greatest common divisor of 13051 and 155.
31
Calculate the greatest common factor of 730 and 11190.
10
What is the greatest common divisor of 226 and 328?
2
What is the greatest common divisor of 1812 and 87429?
453
What is the greatest common divisor of 3857539 and 511?
511
What is the greatest common factor of 16252 and 148658?
478
What is the greatest common divisor of 1763442 and 313?
313
Calculate the greatest common divisor of 21945000 and 24.
24
Calculate the highest common factor of 853175 and 25.
25
Calculate the highest common factor of 11 and 38179.
1
What is the greatest common divisor of 1094835 and 21?
21
What is the greatest common factor of 46436 and 17766?
94
What is the highest common divisor of 45149 and 897?
299
What is the highest common divisor of 99 and 4728603?
33
What is the greatest common divisor of 28 and 41692?
28
Calculate the greatest common divisor of 146 and 23.
1
Calculate the greatest common divisor of 36 and 13316.
4
What is the highest common divisor of 1090 and 291030?
1090
Calculate the greatest common divisor of 9515 and 121.
11
Calculate the greatest common divisor of 33957 and 1727.
11
What is the highest common factor of 436 and 1096?
4
What is the highest common divisor of 245560 and 1960?
280
What is the greatest common factor of 11319 and 32879?
539
Calculate the highest common factor of 926109 and 51.
51
Calculate the greatest common factor of 50485 and 92.
23
Calculate the greatest common divisor of 99091 and 503.
503
Calculate the greatest common factor of 31610 and 110.
10
What is the greatest common factor of 43687 and 119?
7
What is the greatest common factor of 5306 and 294104?
758
Calculate the greatest common factor of 82985 and 2170.
35
Calculate the greatest common factor of 150331 and 2516.
629
What is the highest common factor of 159300 and 2478?
354
Calculate the highest common factor of 38 and 129694.
38
Calculate the greatest common divisor of 3850 and 1404550.
350
Calculate the highest common divisor of 338492 and 88.
44
What is the greatest common factor of 8477 and 2653?
7
Calculate the highest common factor of 51939 and 6567.
597
Calculate the greatest common divisor of 4508 and 28.
28
What is the greatest common divisor of 10783 and 5781?
41
What is the greatest common factor of 169626 and 306?
102
What is the highest common factor of 801654 and 42?
42
Calculate the greatest common divisor of 2835 and 1855.
35
What is the greatest common factor of 580 and 52345?
145
Calculate the highest common factor of 240 and 6294000.
240
Calculate the highest common factor of 1192 and 2831.
149
Calculate the greatest common factor of 64 and 631520.
32
What is the highest common divisor of 4 and 6124?
4
Calculate the greatest common factor of 410 and 3250.
10
What is the highest common divisor of 46637 and 939?
313
Calculate the highest common factor of 14496528 and 24.
24
Calculate the highest common divisor of 70 and 12470.
10
Calculate the greatest common divisor of 5804 and 12.
4
What is the highest common divisor of 1096 and 138644?
548
What is the highest common divisor of 300 and 23364?
12
What is the highest common divisor of 5842440 and 72?
72
What is the highest common factor of 13867 and 98?
49
Calculate the greatest common divisor of 3 and 321.
3
Calculate the highest common factor of 7 and 1012144.
7
Calculate the highest common divisor of 776065 and 4035.
1345
What is the greatest common divisor of 696 and 64264?
232
What is the greatest common divisor of 248 and 6758?
62
What is the highest common factor of 580993 and 1336?
167
What is the greatest common factor of 11999 and 663637?
923
Calculate the greatest common factor of 183742 and 3367.
481
Calculate the highest common factor of 1015 and 1435.
35
What is the greatest common factor of 369803 and 98?
49
What is the highest common divisor of 1281 and 64904?
427
Calculate the highest common divisor of 5957 and 75509.
161
Calculate the greatest common factor of 261 and 42949.
29
Calculate the highest common factor of 140 and 1473808.
28
Calculate the highest common divisor of 105595 and 270.
5
Calculate the greatest common factor of 26195 and 2635.
155
What is the greatest common divisor of 171 and 63726?
57
What is the highest common factor of 17680 and 3952?
208
What is the highest common factor of 28888 and 368?
184
What is the greatest common factor of 40 and 36848?
8
Calculate the greatest common divisor of 4730332 and 1306.
1306
Calculate the highest common factor of 48915 and 180.
45
What is the greatest common divisor of 97869 and 31008?
969
Calculate the highest common divisor of 56770 and 70.
70
What is the greatest common divisor of 1045433 and 292?
73
What is the highest common factor of 14 and 22228?
2
What is the greatest common factor of 73182 and 18?
6
What is the highest common factor of 181304 and 786?
262
Calculate the highest common factor of 58125 and 1395.
465
Calculate the greatest common factor of 421214 and 94.
94
What is the highest common divisor of 5428 and 1652?
236
What is the greatest common divisor of 192 and 92256?
96
Calculate the highest common divisor of 2548 and 30919.
49
What is the highest common divisor of 7092 and 56?
4
What is the highest common divisor of 920 and 115690?
230
What is the highest common divisor of 3555 and 2528?
79
Calculate the greatest common factor of 328 and 9225.
41
Calculate the greatest common factor of 384 and 823872.
192
What is the greatest common factor of 2183 and 333592?
37
What is the highest common divisor of 141 and 9071?
47
What is the highest common divisor of 126 and 162540?
126
What is the highest common divisor of 10338 and 432?
6
Calculate the highest common divisor of 5076342 and 9.
9
Calculate the greatest common factor of 546 and 7133.
7
What is the highest common factor of 3828852 and 24?
12
What is the greatest common factor of 16 and 236636?
4
What is the greatest common factor of 44 and 101440?
4
Calculate the greatest common factor of 3948 and 24017.
329
What is the greatest common divis | {
"pile_set_name": "DM Mathematics"
} |
alse
Is 1120907009 a composite number?
True
Is 10103021587 prime?
True
Is 14137414517 composite?
False
Is 23835755923 prime?
False
Is 2043159379 prime?
False
Is 57307086269 prime?
False
Is 714792300065 a prime number?
False
Is 9799059526 prime?
False
Is 1536589597 composite?
True
Is 4890742267 composite?
False
Is 1349382217 a composite number?
True
Is 35340640187 a composite number?
False
Is 4383193229 prime?
True
Is 1251142943 a prime number?
True
Is 107834556163 a prime number?
False
Is 162079 composite?
False
Is 21145479041 a composite number?
True
Is 36173774411 composite?
True
Is 970605961 prime?
False
Is 12267653231 prime?
True
Is 159815729 composite?
True
Is 14345783297 a prime number?
False
Is 118253279 composite?
True
Is 18431210279 a prime number?
True
Is 15853827239 prime?
False
Is 2261471831 a prime number?
True
Is 15503768053 prime?
True
Is 1451039963 a composite number?
False
Is 1225486177 a prime number?
False
Is 32156169547 a composite number?
True
Is 849325943 prime?
True
Is 31779071 a composite number?
False
Is 69429161 a composite number?
True
Is 12995447359 composite?
True
Is 6562426889 prime?
True
Is 2286824537 prime?
True
Is 106406659 a composite number?
False
Is 184329721 a prime number?
True
Is 17874443 prime?
False
Is 28669587637 composite?
False
Is 50071082003 composite?
True
Is 11177360211 a prime number?
False
Is 148193872513 a prime number?
True
Is 17985727846 prime?
False
Is 331391614 a composite number?
True
Is 12869708899 prime?
False
Is 144322313 prime?
True
Is 18443269883 composite?
False
Is 31062006649 prime?
True
Is 3760447129 a composite number?
True
Is 2024922619 prime?
False
Is 464470531787 prime?
True
Is 15752730531 a prime number?
False
Is 28677307121 a composite number?
False
Is 10989477971 a prime number?
True
Is 224393177 a prime number?
False
Is 373477103 a composite number?
False
Is 665174831 a prime number?
True
Is 8653156843 a composite number?
True
Is 10647993151 a composite number?
False
Is 574197971 a composite number?
True
Is 31710807593 prime?
True
Is 86601582823 a prime number?
False
Is 1239572471 a composite number?
False
Is 116350763 a prime number?
True
Is 19629791 a composite number?
True
Is 899759431 composite?
True
Is 599575511 composite?
True
Is 4172566519 composite?
True
Is 12463208071 a prime number?
False
Is 2656322789 composite?
False
Is 691968967 a prime number?
True
Is 1368314491 prime?
True
Is 3475373827 a prime number?
True
Is 5166420863 prime?
True
Is 5895016459 a prime number?
True
Is 6368413999 a prime number?
True
Is 973239539 composite?
True
Is 88910290439 a prime number?
False
Is 9013913 a composite number?
True
Is 488200831 composite?
False
Is 1892153787 a composite number?
True
Is 606217697 a prime number?
True
Is 1245323749 a prime number?
False
Is 1894029701 composite?
True
Is 5598537919 a prime number?
False
Is 15624487 a prime number?
True
Is 31608010419 a composite number?
True
Is 7530340249 a prime number?
True
Is 37436541601 a composite number?
True
Is 977238413 prime?
False
Is 28155035417 a prime number?
False
Is 922016317 a composite number?
True
Is 8778102493 composite?
True
Is 338598497 prime?
False
Is 413649283 composite?
True
Is 75132476027 a prime number?
False
Is 49951117829 a composite number?
True
Is 25259119 a composite number?
False
Is 3970394567 a composite number?
True
Is 19025705735 composite?
True
Is 275857481881 prime?
True
Is 9357648221 composite?
False
Is 17404437397 prime?
True
Is 858999533 prime?
False
Is 196529189977 composite?
False
Is 6397242961 a prime number?
False
Is 197534111 a prime number?
True
Is 27440256071 prime?
False
Is 826212419 composite?
False
Is 569799145 composite?
True
Is 16815666293 prime?
False
Is 6110081347 prime?
True
Is 168036687095 a prime number?
False
Is 21930929453 prime?
False
Is 762216373 a prime number?
False
Is 42000329519 a prime number?
True
Is 140048151703 a prime number?
False
Is 314486083 composite?
False
Is 76372391219 a prime number?
False
Is 664455713 prime?
False
Is 68124004541 a prime number?
True
Is 178639831 prime?
True
Is 522362207 a prime number?
True
Is 4042659667 composite?
True
Is 75361937 composite?
True
Is 12977119 a prime number?
True
Is 226525129 prime?
True
Is 883203001 prime?
True
Is 3006736685 a prime number?
False
Is 2658926923 a composite number?
False
Is 269222869 composite?
False
Is 205704937 prime?
True
Is 23042090777 a composite number?
False
Is 695050607 a composite number?
False
Is 51689637785 composite?
True
Is 14186809639 a prime number?
False
Is 102240679 composite?
True
Is 188642373 composite?
True
Is 856164449 composite?
True
Is 39865489327 a composite number?
True
Is 1146594487 a prime number?
True
Is 1423581661 a composite number?
False
Is 19529319049 composite?
False
Is 14280813641 composite?
False
Is 25548591479 composite?
False
Is 709165619 a composite number?
True
Is 197045809 a prime number?
True
Is 9025043767 prime?
True
Is 142678061 composite?
True
Is 6769093553 a prime number?
True
Is 2000619139 composite?
False
Is 14451892981 composite?
True
Is 7602438373 composite?
False
Is 3742132279 prime?
False
Is 41684286299 composite?
True
Is 8975118433 a prime number?
True
Is 144086531 a prime number?
True
Is 33857638123 composite?
False
Is 6884938883 composite?
False
Is 20950235897 a composite number?
True
Is 1086569626 a composite number?
True
Is 6491740613 a composite number?
True
Is 14141795461 prime?
False
Is 6024568409 a prime number?
False
Is 144782503 a prime number?
False
Is 11858709727 a prime number?
True
Is 3710306881 a composite number?
True
Is 61172235321 a prime number?
False
Is 122034611 a prime number?
False
Is 192967919 a composite number?
True
Is 48370450547 a composite number?
True
Is 5879911649 a prime number?
True
Is 11165918839 composite?
False
Is 469084771 a prime number?
True
Is 1540156231 prime?
False
Is 7590169109 prime?
False
Is 531222257 prime?
True
Is 222911187 a composite number?
True
Is 260671920823 a composite number?
False
Is 169095937 composite?
False
Is 7507049735 composite?
True
Is 3192964651 composite?
True
Is 119190311437 prime?
False
Is 78449035151 a prime number?
False
Is 12095942219 composite?
False
Is 1392489361 a prime number?
False
Is 27808196447 prime?
True
Is 5158141727 composite?
True
Is 36679403 composite?
True
Is 24752009 a prime number?
True
Is 68994396017 a composite number?
False
Is 270201949 a prime number?
False
Is 1881151859 prime?
True
Is 2118361949 prime?
False
Is 29350663 a composite number?
False
Is 1300656849 a composite number?
True
Is 139650038519 a composite number?
False
Is 95690023163 prime?
False
Is 1177371583 composite?
False
Is 998738369 a prime number?
True
Is 30011932807 composite?
False
Is 126451771 composite?
True
Is 130132669 prime?
True
Is 384887215 a composite number?
True
Is 89485440787 prime?
True
Is 25248393607 prime?
True
Is 960954857 a prime number?
False
Is 12511147427 composite?
False
Is 13410999929 a composite number?
True
Is 111400171 a prime number?
True
Is 122047511 a prime number?
False
Is 276082379 composite?
True
Is 57983537 a composite number?
True
Is 302965048317 composite?
True
Is 1321825699 a prime number?
True
Is 26593349987 composite?
False
Is 22076982071 prime?
True
Is 1423886489 a prime number?
True
Is 3387905669 prime?
False
Is 53340584579 composite?
True
Is 87665665237 a prime number?
False
Is 1392243 a prime number?
False
Is 824393837 a prime number?
True
Is 27536741159 a composite number?
False
Is 129371653 a composite number?
True
Is 1663921731 prime?
False
Is 3137560667 a composite number?
False
Is 4196155571 a prime number?
True
Is 1660212353 a composite number?
True
Is 96663851 a prime number?
False
Is 876363269 a prime number?
False
Is 10438019927 composite?
True
Is 13264939157 a prime number?
False
Is 13074360773 prime?
True
Is 18107481233 a prime number?
True
Is 3567013031 composite?
True
Is 2469566861 a composite number?
False
Is 175180253 a composite number?
False
Is 971611567 a prime number?
False
Is 2258832523 composite?
True
Is 26311401547 a composite number?
False
Is 28184054369 composite?
True
Is 5416172123 composite?
False
Is 49799369 a composite number?
False
Is 40188595147 a composite number?
False
Is 13650639979 prime?
False
Is 743174723 a composit | {
"pile_set_name": "DM Mathematics"
} |
)*v)*v*v/(v**(1/2)/v) assuming v is positive.
v**(449/182)
Simplify i**(-20)/(i/(i**(-15)/i))*i**5*i*i/(i/i**(2/51))*i assuming i is positive.
i**(-1528/51)
Simplify ((b/(b/b**(-1/3)))/b*(b*b**(2/7))/b)/(b**(1/2)/b)**(-7) assuming b is positive.
b**(-191/42)
Simplify (a*a**(2/15)*a*((a**11/a)/a)/a)/((a/(a**(-12)*a))/(a/((a/((a/(a*a**(-3)*a*a))/a))/a))) assuming a is positive.
a**(-13/15)
Simplify (r**(-27)/r**(7/2))**(-2/35) assuming r is positive.
r**(61/35)
Simplify ((g/(g/(g*g*(g*g**6*g)/g)*g))/g**(1/25))/((g*g**(1/16))/g*g/(g*g**(-10/9))*g) assuming g is positive.
g**(20831/3600)
Simplify (z/(z/((z**1/z)/z)))/z*z**(-7/4)*z**(-1/6)/(z/(z**(-5/4)*z)) assuming z is positive.
z**(-31/6)
Simplify (f**(-1/3))**(1/4)*f**11/(f/(f/(f/(f/(f*f**13))*f))) assuming f is positive.
f**(-49/12)
Simplify (f**8)**(-21)*f/(f/((f*f*f**(-1)*f)/f))*f*f/((f/f**(8/5))/f) assuming f is positive.
f**(-817/5)
Simplify ((z*z/z**(2/27))/(z**(-2/33)/z))**(1/7) assuming z is positive.
z**(887/2079)
Simplify ((r**(2/9))**(-2/5)/(r**(-4)/(r*(r/(r*r**(-2/9))*r)/r)))**(-28) assuming r is positive.
r**(-2156/15)
Simplify b*b**(15/2)*b/((b/b**9)/b)*(b*b**4*b)**(-13) assuming b is positive.
b**(-119/2)
Simplify n*(n**0*n)/n*n**(5/4)*((n**(-1)*n)/n)**(-10) assuming n is positive.
n**(49/4)
Simplify (d*d/d**(-2))**(-18/5)*(d*d**(-2/33)*d)/(d*d/d**5) assuming d is positive.
d**(-1561/165)
Simplify ((y/(y/y**(10/11))*y*y)/y**(2/61))**(2/101) assuming y is positive.
y**(3860/67771)
Simplify k**(4/7)/k*k*k/(k**(1/33)*k)*(k**(-14))**30 assuming k is positive.
k**(-96895/231)
Simplify ((h**(-1))**(3/11)/(h**9*h/h**(1/4)))**6 assuming h is positive.
h**(-1323/22)
Simplify (k/((k**19*k)/k)*(k**(2/23)*k)/k)**(-6) assuming k is positive.
k**(2472/23)
Simplify (o/(o**(7/4)/o))**18*(o/o**23)/((o/o**(-6/11))/o) assuming o is positive.
o**(-397/22)
Simplify ((x/x**2)**33/((x*x*x/(x/(x/(x**9/x))))/x**1))**(-43) assuming x is positive.
x**1161
Simplify (g**0/g*g**(1/2)*g**(-1/11)*g/g**(-9)*g)**(13/4) assuming g is positive.
g**(2977/88)
Simplify (k*(k*k/(k**7/k*k)*k)/k)**(2/5)/(k**(7/3)/(k/(k/(k*k**(-18)*k)))) assuming k is positive.
k**(-299/15)
Simplify ((t*t**(-6)*t*t*t)**(-1/17))**(10/9) assuming t is positive.
t**(20/153)
Simplify ((n*n**(2/25))**(-25))**(-18) assuming n is positive.
n**486
Simplify (x**(-2/17)/x)**(-7/4)*(x/(x/x**(-2/19)*x)*x)**(2/21) assuming x is positive.
x**(52795/27132)
Simplify (p**(-7)*p**(-2)*p*(p**(-1))**(4/7))**(-34) assuming p is positive.
p**(2040/7)
Simplify (l**(2/13)*l)/(l/l**(12/11))*l**(-11)*l**(-10) assuming l is positive.
l**(-2825/143)
Simplify (g**(-3/2))**(-4/15)*(g**(-10)/g*g)/(g/((g/(g/g**(-7)))/g)) assuming g is positive.
g**(-93/5)
Simplify ((q/q**(-14))/q*q*q)**21/((q**8*q)/q**18) assuming q is positive.
q**345
Simplify (w**5)**(-1/3)*(w**(-2/5))**25 assuming w is positive.
w**(-35/3)
Simplify (n**8/n*n**(-10/3)/n)/((n/(n**(-1)/n))/n)**(-7/11) assuming n is positive.
n**(130/33)
Simplify (a**0)**(-19)*((a*a**(-3))/a*a)/(a*a*a**(-15)/a) assuming a is positive.
a**12
Simplify (k**(1/2)*k)**(-6/19)*k**(1/4)*k**(7/5) assuming k is positive.
k**(447/380)
Simplify (((c*c**(-2)*c*c)/(c/(c**(5/2)*c)))/(c*c**(1/3)*c)**(-4/7))**39 assuming c is positive.
c**(377/2)
Simplify (q**(-8)/q**(4/7)*q**(-1/13)/q*q**10)**(2/3) assuming q is positive.
q**(64/273)
Simplify (x**(-3/7)/((x**(1/3)*x)/x))/(x**(2/7))**20 assuming x is positive.
x**(-136/21)
Simplify ((d**(-2)/d**(-3/10))**(9/2))**(-5/16) assuming d is positive.
d**(153/64)
Simplify (t**(-2))**(-2/55)/(t/t**(-1/15)*t**(-5/6)) assuming t is positive.
t**(-53/330)
Simplify (u*u*u**15)/(u*u**(-4/21))*(u/((u/(u*u**(-17)))/u))/u**(-19) assuming u is positive.
u**(424/21)
Simplify a**(-1/20)/a**37*a*a**(-34)*a**(-19)/a*a assuming a is positive.
a**(-1781/20)
Simplify (m**25*m*m**(5/3))**19 assuming m is positive.
m**(1577/3)
Simplify (((x/(x/x**(-22))*x*x)/x)/(x*x*x**(-30)))/((x/(x**(-4/13)/x))/(x/((x**10*x)/x)*x)) assuming x is positive.
x**(-43/13)
Simplify ((o/(o**(5/6)*o*o))/o**(10/13))/((o/(o/o**1))/o*o**(-10/9)) assuming o is positive.
o**(-349/234)
Simplify (g**(-2))**45*g**(-6/5)/(g*g*g**2) assuming g is positive.
g**(-476/5)
Simplify (g**(-4/9)*g*g*g/(g**31/g))**(-43) assuming g is positive.
g**(10621/9)
Simplify ((l*(l/l**(1/19))/l*l)/(l*l**25*l*l*l))/(l**(2/9)/(l/(l*((l*l**12)/l)/l))) assuming l is positive.
l**(-6545/171)
Simplify (k**(-24)*k*(k**25*k*k)/k)**(7/4) assuming k is positive.
k**(21/4)
Simplify (r*r**(-4/9))/r*(r/(r*r**(1/5)))/r*r*r/(r**(-4)/r)*r*r**(2/11)*r*r assuming r is positive.
r**(4226/495)
Simplify (u/(u/(u*u*u*u/(((u*u**4)/u)/u)))*u/u**(-32))**(1/41) assuming u is positive.
u**(34/41)
Simplify (((h*h/h**(-1/8))/(h/((h/(h*h**(-3/5)))/h)))**(-22))**(-30) assuming h is positive.
h**(957/2)
Simplify (((g*g*(g*(g*g**3/g)/g)/g*g)**(-6/11))**33)**(1/63) assuming g is positive.
g**(-10/7)
Simplify (b**(6/11)/b)**(-2/19)*b**(-12)/(b/(b**2*b)) assuming b is positive.
b**(-2080/209)
Simplify ((n**15*n**15)**(1/44))**16 assuming n is positive.
n**(120/11)
Simplify (w**(-3/8)/(w**(-9)*w)*w**(1/8)*w**(-2/9))**(3/2) assuming w is positive.
w**(271/24)
Simplify w**(3/4)/(w*w*w**(-11))*(w/(((w*((w*w**(-10))/w)/w*w)/w*w)/w))/w**16 assuming w is positive.
w**(19/4)
Simplify j**9*j*j/(j*j*j/j**(-5)*j)*j*j**(6/7)*j/(j/(j*j**(-11/2))) assuming j is positive.
j**(-9/14)
Simplify (a/((a*a*(a/(a*a/(a*a**3/a))*a)/a*a)/a))**(38/3)/(a**1)**37 assuming a is positive.
a**(-75)
Simplify (q**(-18)/q*q**(-19))/((q/q**(-1/11))/q**(-2/5)) assuming q is positive.
q**(-2172/55)
Simplify ((a**(-2)*a*a**(-3/7))**(-16))**(-43) assuming a is positive.
a**(-6880/7)
Simplify (n/((n**(-25)*n*n)/n))/n*n*n*n**(16/3)*n/n**(2/7)*n*n**30 assuming n is positive.
n**(1324/21)
Simplify ((((n*n*n/n**1*n)/n)/n*n)/n)/n**16*n**(-11/4)/((n**23/n)/n*n) assuming n is positive.
n**(-159/4)
Simplify (q**(5/6))**(-6/23)/((q*q**19*q)/(q/q**(-1/9))) assuming q is positive.
q**(-4162/207)
Simplify (w/w**7*w*w)/w**(1/5)*(w*w**3)**(-1/55) assuming w is positive.
w**(-47/11)
Simplify ((q**(-1/3)*q)/q*q)**1/(q*q**(1/5))**(5/6) assuming q is positive.
q**(-1/3)
Simplify (t*(t**(-5)/t)/t*t)/(t*t**(2/7))*(t/t**(11/4))/(t*t**(1/8)) assuming t is positive.
t**(-513/56)
Simplify (((((t**22*t)/t)/t)/t)**(-34))**(-3/14) assuming t is positive.
t**(1020/7)
Simplify (o/o**(3/7))**(-2/47)*o**(-10)*o*(o**(-10/7)/o)/o*o assuming o is positive.
o**(-3768/329)
Simplify (((y*y**(-2/29))/y**(-2/3))/(y/((y*y/((y/y**(-2))/y*y))/y)*y)**0)**(2/75) assuming y is positive.
y**(278/6525)
Simplify ((y**(-13)*y)/y*y/y**0)/((y/((y**(-8)*y)/y))/(y/((y**2*y)/y))) assuming y is positive.
y**(-22)
Simplify ((l**(1/55))**6)**(-8/17) assuming l is positive.
l**(-48/935)
Simplify (t**(-23)/t**(-1/9))/((t*t/t**18)/(t*t*t/t**6*t*t*t*t)) assuming t is positive.
t**(-53/9)
Simplify g/(g*g*g*g**17)*g*g/(g/g**16*g)*g/g**25*g*g**(5/2) assuming g is positive.
g**(-47/2)
Simplify (k/(k/((k/(k**17*k))/k)))/k**(-1/3)*k**(-19)/k**16 assuming k is positive.
k**(-158/3)
Simplify q**15*q**(2/27)*(q**(-2/5))**(-12/11) assuming q is positive.
q**(23033/1485)
Simplify ((g**(-4))**16)**(-13) assuming g is positive.
g**832
Simplify ((h/((((h*h*h*h**22)/h)/h)/h)*h*h*h)/(h*h/h**(-2/7)))/(h**(1/6))**(-2/85) assuming h is positive.
h**(-36203/1785)
Simplify (c**(-1/17)/c**(-1/10))/(c*c**(-7))**(-2/5) assuming c is positive.
c**(-401/170)
Simplify p**8*p**(8/7)*p/p**(-7)*p**11 assuming p is positive.
p**(197/7)
Simplify (l**(-2/3)/((l/l**(-2/17))/l)*l**6*l*l**6)**(-1/4) assuming l is positive.
l**(-623/204)
Simplify t**(-33)/(((t**(-21/2)/t)/t)/t)*(t**(1/4)*t)/(t/t**(4/5)) assuming t is positive.
t**(-369/20)
Simplify (r**(3/2)/(r*r*r/(r**(5/6)/r)*r*r)*(r/(r*r**12))/r**(1/8))**(-3/11) assuming r is positive.
r**(379/88)
Simplify (o**(-11)/o**(-4/13)*o**(-2/9)/o**3)**(-1/22) assuming o is positive.
o**(74/117)
Simplify ((m**(-2/87)/m)/m*m**(-2/45))/((((m*m/((m*m**(-2)/m)/m))/m)/m)/m*m)**(-15/7) assuming m is positive.
m**(39839/9135)
Simplify (j**(-23)/j)/j*j**(-3/7)/j*j**24/(j/(j*(j/(j*j/j**9)*j)/j*j)) assuming j is positive.
j**(46/7)
Simplify (((s**0/s)**8)**(-45))**(-31) assuming s is positive.
s**(-11160)
Simplify (((f*f**(1/5))/f)/f)**(-10/9)/(f**(-2/39)*f*f/(f/(f/((f/(f*f/((f**(-1/6)/f)/f)))/f | {
"pile_set_name": "DM Mathematics"
} |
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