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*q**2 - 16*q + 17. Suppose -c = -4746 + 4731. Determine f(c).
2
Let q(h) = -h + h**2 - 7*h - 2 + 7. Let p = -627 - -634. Calculate q(p).
-2
Let g(q) be the second derivative of 0 - 9*q + 0*q**2 + 1/20*q**5 + q**3 - 7/12*q**4. Calculate g(6).
0
Let y(i) = -i + 0*i + 0*i. Let f(o) be the first derivative of o**4/4 + 2*o**3/3 - 3*o**2 + 2*o + 7. Let p(d) = f(d) - 5*y(d). Give p(-3).
-4
Let i be ((-234)/126)/((-4)/(-14)) - -7. Let l(j) be the third derivative of 5/24*j**4 - 3*j**2 + 0*j + 0 + i*j**3. What is l(-2)?
-7
Let l(n) be the third derivative of n**5/60 + n**4/6 - n**3/3 + 2*n**2 + 5*n. What is l(-6)?
10
Let w(v) = 2 - 104*v + 97*v - 7 + v**2 + 2. Determine w(5).
-13
Let u(o) = o - 11. Let l(f) = -7 + 0 + 2. Let m(g) = -7*l(g) + 3*u(g). Suppose 20*p + 37 = -4*s + 15*p, -5*p = 2*s + 31. Calculate m(s).
-7
Let l(a) = -a**3 + 3*a**2 + 4*a + 5. Suppose 40*h - 113 = 47. What is l(h)?
5
Let f(t) be the first derivative of -7*t**2/2 - t - 2. Let v = 7 - 2. Let g = v - 6. Calculate f(g).
6
Let p(u) = u**3 + 7*u**2 + 4*u - 8. Let m = -88 - -105. Suppose 4*l + 7 = -m. What is p(l)?
4
Let w be 5 + (-8)/((-40)/(-15)). Let v(l) = l**3 + 0*l + 3*l + 2*l**w + 4 - 6*l. What is v(-4)?
-16
Suppose 2*x + 15 = -q, -4*q + 12 = 6*x - 10*x. Let n(l) = -l**2 - 7*l - 6. Determine n(x).
0
Let d(z) = -z**2 - 2*z - 1. Let h(w) = w**3 + 3*w**2 - 2*w - 4. Let k be h(-3). Suppose 4*s + k*s + 18 = 0. Determine d(s).
-4
Let r(i) be the second derivative of -i**3/6 - i**2/2 - 2*i - 3. What is r(-7)?
6
Let i(w) be the first derivative of -1/3*w**3 + 2*w**2 - 8 + 4*w. What is i(5)?
-1
Let w(z) = -13*z**3 + 5*z**2 + 4*z + 1. Let j(g) = 14*g**3 - 6*g**2 - 5*g - 1. Let n(l) = -5*j(l) - 6*w(l). Determine n(1).
8
Suppose -4*r - 4*k + 0*k - 4 = 0, -r = -2*k - 14. Suppose -n + r = -3. Let b(m) = 3*m + 9. Determine b(n).
30
Let u(x) be the second derivative of x**4/6 - 11*x**3/6 + 7*x**2 - 365*x. Calculate u(6).
20
Let z(i) be the second derivative of -i**3/2 - 2*i**2 - 4*i. Let l be z(-2). Let q(b) = -4*b - 1 + b**2 - b - 2*b**l + 0*b**2. What is q(-4)?
3
Let r(s) = 4*s - 14. Let h be r(4). Let u(v) = -h - 2 - 7*v + v + 12*v. Calculate u(4).
20
Let w(u) = u - 6. Let k(d) = 2*d + 55. Let f(g) = k(g) + 2*w(g). Determine f(-13).
-9
Suppose -61*l = -72*l + 44. Let d(n) be the first derivative of 3*n - 2/3*n**3 + 4 + 1/4*n**l - 3/2*n**2. Determine d(2).
-3
Suppose -27*v - 90 = -9*v. Let c(q) = 2*q**2 + 5*q - 3. Calculate c(v).
22
Let y be (-8)/10*(-25)/10. Let g(k) = 0*k**2 + 7*k - 2*k**y - 10*k. Give g(-3).
-9
Let b(a) = -a**3 + a**2 - a - 7. Let z(p) = p**2 + 12*p + 11. Let f be z(-11). What is b(f)?
-7
Let p(a) = a + 1. Let w(x) be the second derivative of -x**2/2 - 2*x. Let m(b) = p(b) - 2*w(b). Let i be ((-4)/4)/((-1)/(-6)). Calculate m(i).
-3
Let z(q) = -2*q - 2. Suppose 2*l - 18 = 5*y, 2*y - 4*l = -2*y - 24. Let p = 0 - y. Let c be -7 + (1 - p)*-3. Give z(c).
6
Let l(x) be the first derivative of x**4/24 + 11*x**3/6 - 26*x**2 + 26. Let r(j) be the second derivative of l(j). What is r(-8)?
3
Let z(j) = j**3 - 4*j**2 + 3*j - 3. Let g(s) = s**2 - s + 1. Let l(y) = -4*g(y) - z(y). Let k = -2 + 3. What is l(k)?
-1
Let o be ((-9)/27)/((-30)/(-27) + -1). Let j(x) = -11*x - 23. Let w(r) = -4*r - 8. Let k(t) = 3*j(t) - 8*w(t). Determine k(o).
-2
Let y(d) be the third derivative of -d**4/24 - d**3/2 + d**2 + 54*d. Suppose 0 = -3*m + s + 6, -5*m - 5*s = -s - 27. Let n = -8 + m. Determine y(n).
2
Let j(c) = -16*c**3 - 42*c**2 - 11*c. Let t(w) = -3*w**3 - 8*w**2 - 2*w. Let g(d) = -2*j(d) + 11*t(d). Determine g(-4).
0
Let r(o) = -o**3 + 5*o**2 - 3*o - 2. Suppose -3*n + 12*n - 549 = 0. Let c = n + -57. Give r(c).
2
Let i(z) = -z**3 + z + 1. Let f be 2/(-2) + 4/(-8)*-2. Suppose -q - 3*r = 2*r + 11, f = -q + 5*r + 9. Determine i(q).
1
Suppose -3*o = -17 - 7. Let g be (-62)/(-8) - (-2)/o. Suppose -32 = -5*w + 2*q, -w = 3*q - g*q - 11. Let j(y) = y + 2. Give j(w).
8
Suppose 3*a + 178 - 177 = -2*z, -z = 3*a - 4. Let y(s) = -s**3 +
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{
"pile_set_name": "DM Mathematics"
}
|
- 2*j. Let c be u(-2). Let f be (1 - (-8)/(-9)) + (-21)/(-189)*-1. Calculate the remainder when 239 is divided by -18*c/36*(f - 3).
23
Let n(m) = -67*m - 170. Calculate the remainder when n(-8) is divided by 2.
0
Let v = -2045 + 2138. What is the remainder when v is divided by 76?
17
Suppose -36*c + 32*c = -2*d + 46, -60 = -5*d - c. Let t be 12/2 + 2/2. Let b(g) = -g**2 + 7*g + 5. Calculate the remainder when d is divided by b(t).
3
Suppose -99*h + 102*h = -2*v + 122, 5*v = -h + 71. What is the remainder when 168 is divided by h?
24
Suppose 0 = 548*b - 539*b - 2997. What is the remainder when b is divided by 329?
4
Let d(g) = -21*g**2 + 1524*g - 124. What is the remainder when d(72) is divided by 351?
38
Let g(b) = 4*b**3 + b**2 + b - 2. Let f be g(1). Suppose 442 = -f*v + 2562. What is the remainder when 172 is divided by (2/6)/(-1 + v/525)?
32
Let w(h) = -h**3 - 3*h**2 + 12*h + 33. Let s be w(-4). Suppose -2*x + 1 = -2*l - s, 3*l + 3*x = 21. Calculate the remainder when 9 is divided by l.
0
Suppose x - 44 = -3*d + 18, 5*d + 230 = 5*x. Suppose -5*a - 425 = 2*k, -2*k = -2*a - 52 - 104. Let t = a - -109. Calculate the remainder when x is divided by t.
24
Suppose 45*b - 292 = -67. Suppose -d + 18 = b*d. Suppose 14 = 4*r - 3*r + 2*l, -5*l + 15 = 0. Calculate the remainder when r is divided by d.
2
Suppose 2*r + 2*s - 418 = 0, 1051 = 5*r - 8*s + 10*s. What is the remainder when r is divided by 71?
69
Let z = -346 - -352. Suppose -z*g + 1395 = 9*g. Calculate the remainder when g is divided by 32.
29
Let x(z) = 2*z**2 - 4*z - 1. Suppose g + f - 352 = 0, 3*g = g - f + 708. Let l = 441 - g. What is the remainder when l is divided by x(5)?
27
Let v(t) = -120*t + 1731. What is the remainder when v(13) is divided by 159?
12
Suppose 5*z + 1020 = 7*z - 2*v, -v - 1022 = -2*z. What is the remainder when z is divided by 171?
170
Suppose -45*f = -51*f + 6630. Calculate the remainder when f is divided by 14.
13
Suppose -o = -4*c - 164, 5*c - 327 - 343 = -5*o. Calculate the remainder when 276 is divided by o.
136
Suppose -9*b + 273402 = 157*b. What is the remainder when b is divided by 19?
13
Let w = 56 - 32. What is the remainder when ((-16146)/(-345))/((-4)/(-10)) is divided by w?
21
Let q = 3501 - 3006. What is the remainder when q is divided by 127?
114
Let r(o) = -o**3 + 28*o**2 + 19*o - 12. Let p be r(27). Suppose 13*x = -17*x + p. Calculate the remainder when x is divided by 21.
20
Suppose 12*j - 579 = 9*j. Suppose -222 = -5*x + j. Let o = 9 + 3. Calculate the remainder when x is divided by o.
11
Calculate the remainder when 301653/4719 + 12/(-13) is divided by 63.
0
Suppose 0 = 5*z - 5*x + x - 19, -x = 4*z - 11. Suppose -5*y + 10 = z*n - y, 4 = y. What is the remainder when 21 is divided by (n + 5)*24/9?
5
Let q be 3 - (3 - 5 - -88). What is the remainder when 306 is divided by q/(-1) - (-13)/((-78)/36)?
75
Suppose -j + 351 = 4*f - 4*j, 5*f = -3*j + 405. Let d(a) = a**3 + 9*a**2 - 198*a - 123. Calculate the remainder when f is divided by d(-19).
26
Let r(z) = -2*z**2 - z - 3. Let t(c) = -9*c**2 + 13*c - 54. Let m(k) = -r(k) - t(k). What is the remainder when m(5) is divided by 87?
11
Suppose -6*r + 92 = 50. Suppose 2*h - 46 = 5*k - 3, -3*h - 4*k = -r. Suppose 53 - h = z. What is the remainder when z is divided by 15?
14
Suppose 4*v + 856 - 1785 = 1163. What is the remainder when v is divided by (1/2)/((-4)/(-704))?
83
Let h = -17 - -181. Suppose -2*q + n + 1179 = 0, 3*n - 443 = -q + h. Calculate the remainder when q is divided by 22.
20
Suppose 4*s - 7 - 21 = 0. Suppose -524 = -66*c + 70*c. Let j = -120 - c. What is the remainder when j is divided by s?
4
Suppose 5*p - 78 - 72 = -4*x, 3*p = 5*x + 53. Calculate the remainder when (-13 + 715/p)*(2 - 0) is divided by ((-16)/3)/(2/(-6)).
13
Suppose 33*j - 4*j = -32*j + 1891. What is the remainder when 154 is divided by j?
30
Let u = 18 + 9. Suppose -68*m - 644 = -61*m. Let d = 154 + m. What is the remainder when d is divided by u?
8
Calculate the remainder when 3384 is divided by (14 - (-297)/(-22))/((-3)/(-30)).
4
Suppose 10*d = 954 + 36. Calculate the remainder when d is divided by 2*(3 - 14/4*-3).
18
Let n(s) = 4*s**2 - 316*s + 247. Calculate the remainder when n(79) is divided by 65.
52
Suppose -x + 2*q + 5 - 3 = 0, 3*q - 41 = -4*x. Suppose 0 = -4*f + 30 + 22. What is the remainder when f is divided by x?
5
Calculate the remainder when (-10)/4 + 11221/14 + (-5 - -2) is divided by 134.
126
What is the remainder when 275 is divided by (-39)/(-143) + 28*(-114)/(-33)?
81
Calculate the remainder when 573 is divided by (85/10 + -8)*(5 + 565).
3
Calculate the remainder when 3/(-2)*(-7 - 4199/39) is divided by 27.
10
Let t(g) = -56*g + 146. Let v be t(6). Let m = v + 270. Suppose -19 = -q + 8. Calculate the remainder when m is divided by q.
26
Let h(p) = 0 + 7*p - 2*p + 8 - 17. Let s be h(2). What is the remainder when 121 is divided by (-7)/(-21)*93*s?
28
Let b = 257 + -40. Let a = -543 + 566. Let t = 21 + a. What is the remainder when b is divided by t?
41
Let w = -27 + 616. What is the remainder when w is divided by 85?
79
Suppose 0 = -2245*h + 2241*h + 168. What is the remainder when h is divided by 16?
10
Suppose -3*y - 10 = -43. Suppose 1459 = 69*r - 5803 - 3226. What is the remainder when r is divided by y?
9
Let t = -1225 + 1273. Calculate the remainder when 1052 is divided by t.
44
Let t(c) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
496858?
6998
What is the highest common divisor of 164048489 and 92?
23
What is the greatest common divisor of 5664618 and 8090?
1618
What is the greatest common factor of 911995 and 588945?
2485
What is the highest common divisor of 39 and 3216343?
13
What is the highest common divisor of 530775 and 21846025?
8425
What is the greatest common factor of 7343679 and 1071?
21
What is the greatest common factor of 1335960 and 169560?
1080
Calculate the highest common divisor of 22 and 332768.
2
What is the greatest common factor of 377569020 and 480?
60
Calculate the highest common factor of 233729 and 69859703.
6317
What is the highest common divisor of 1566826 and 14?
2
Calculate the highest common divisor of 48932 and 1404.
52
What is the greatest common divisor of 151 and 206634440?
151
What is the greatest common divisor of 50 and 127044440?
10
Calculate the highest common divisor of 3100 and 16336300.
100
Calculate the greatest common factor of 575190 and 1958418.
1386
What is the highest common divisor of 21931793 and 65?
13
What is the highest common divisor of 181096242 and 174?
174
Calculate the greatest common factor of 971673 and 28731.
471
Calculate the highest common factor of 70061661 and 217143.
9441
Calculate the highest common divisor of 86317652 and 7364.
1052
Calculate the greatest common divisor of 1611 and 19090171.
179
Calculate the highest common factor of 86636564 and 42.
14
Calculate the highest common factor of 5149646 and 11020.
1102
Calculate the greatest common factor of 174432892 and 268.
268
Calculate the greatest common divisor of 100 and 24591100.
100
What is the greatest common divisor of 61200 and 10950?
150
Calculate the greatest common divisor of 129444815 and 2491.
2491
What is the greatest common factor of 1932 and 358113?
21
What is the greatest common factor of 642000 and 126960?
240
Calculate the greatest common factor of 7130 and 228974959.
713
What is the highest common factor of 8376 and 2482248?
24
What is the highest common factor of 54292 and 3776064?
1108
What is the highest common divisor of 937011 and 381999?
1713
What is the greatest common factor of 25 and 10985675?
25
Calculate the greatest common divisor of 87472504 and 55286.
5026
What is the greatest common divisor of 476 and 10389244?
68
Calculate the greatest common divisor of 8383208 and 1216.
8
What is the highest common factor of 9005090 and 700?
10
What is the highest common factor of 22880 and 23518?
22
Calculate the greatest common factor of 1843199 and 94.
47
What is the highest common factor of 16040808 and 8064?
504
What is the greatest common divisor of 222795 and 315?
45
Calculate the highest common divisor of 320 and 14732864.
64
What is the highest common divisor of 171 and 3082428?
9
What is the highest common divisor of 295539 and 10209189?
3741
What is the greatest common factor of 92 and 16494404?
92
What is the highest common factor of 188 and 95415875?
47
Calculate the highest common divisor of 30 and 131830575.
15
What is the highest common divisor of 100288 and 60780796?
6268
What is the greatest common divisor of 1440 and 4315230?
90
Calculate the greatest common divisor of 3366 and 2625642.
18
Calculate the highest common factor of 1856797 and 3817.
347
Calculate the greatest common divisor of 2524615 and 98113.
2393
Calculate the highest common divisor of 108 and 19989284.
4
Calculate the greatest common divisor of 5132270925 and 555.
555
What is the highest common factor of 149784 and 6577224?
1896
What is the greatest common factor of 1751471 and 195839?
277
Calculate the highest common divisor of 55599 and 5418.
129
Calculate the highest common factor of 6349 and 198633.
907
Calculate the highest common divisor of 228480 and 2084096.
896
What is the highest common factor of 1599295 and 172155?
2495
What is the highest common factor of 139653792 and 783?
261
What is the highest common divisor of 248 and 8983180?
124
What is the greatest common factor of 46188 and 86688?
36
Calculate the greatest common divisor of 62976 and 141824.
512
Calculate the greatest common factor of 985948 and 836.
76
Calculate the highest common divisor of 5957 and 883967.
259
Calculate the highest common factor of 13573958 and 412.
206
What is the greatest common divisor of 7620 and 20366160?
60
Calculate the highest common divisor of 180730 and 38610.
110
What is the highest common factor of 79709979 and 987?
141
Calculate the greatest common factor of 678128 and 16544.
176
Calculate the greatest common divisor of 286656 and 1200.
48
Calculate the greatest common divisor of 2062 and 34511694.
2062
Calculate the greatest common divisor of 727738165 and 31780.
7945
What is the greatest common divisor of 200732715 and 135?
135
Calculate the highest common factor of 71095 and 1440.
5
What is the highest common divisor of 216 and 122310960?
24
Calculate the highest common divisor of 18512 and 23645520.
1424
Calculate the highest common divisor of 9177 and 3665487.
483
Calculate the highest common factor of 5430935 and 97605.
1205
Calculate the highest common divisor of 238514685 and 15.
15
Calculate the greatest common factor of 85749812 and 304.
76
Calculate the highest common factor of 2621 and 33682471.
2621
Calculate the highest common divisor of 135568 and 38554.
74
What is the greatest common divisor of 66176 and 62612?
44
What is the highest common divisor of 2638268 and 2214?
82
Calculate the highest common factor of 18 and 49593798.
18
What is the greatest common factor of 1033018 and 112?
14
Calculate the highest common factor of 88340784 and 168.
168
What is the greatest common factor of 21 and 6790917735?
21
Calculate the greatest common divisor of 140314506 and 570.
114
Calculate the highest common factor of 20926307 and 122432.
1913
Calculate the greatest common factor of 3040 and 3504360.
760
What is the greatest common divisor of 194810 and 1316?
14
What is the greatest common factor of 1996064 and 285?
19
What is the greatest common factor of 187 and 6573696?
17
What is the highest common factor of 824222 and 2263842?
1582
Calculate the highest common divisor of 78240331 and 13.
13
Calculate the greatest common divisor of 4032 and 483896.
56
What is the greatest common divisor of 6 and 2236238?
2
Calculate the highest common factor of 1 and 7987271.
1
Calculate the highest common factor of 432150335 and 575.
115
What is the greatest common divisor of 15943 and 29853?
107
What is the highest common divisor of 333425149 and 1903?
173
Calculate the highest common factor of 108662554 and 572.
286
Calculate the highest common divisor of 212750 and 97175.
575
What is the highest common divisor of 1898 and 386191?
13
What is the highest common factor of 68789 and 23591?
31
Calculate the greatest common factor of 515780 and 24395.
3485
Calculate the greatest common divisor of 27246 and 1487058.
1434
What is the highest common factor of 2081791 and 1076?
269
What is the greatest common factor of 229100 and 3700?
100
What is the greatest common factor of 576938 and 2074?
122
What is the highest common factor of 10752 and 758028?
12
What is the greatest common divisor of 51720 and 125128?
8
What is the highest common divisor of 333702 and 22104?
18
What is the greatest common factor of 8930 and 555521012?
1786
What is the greatest common divisor of 102 and 972978?
102
Calculate the greatest common factor of 1328277 and 3198.
123
Calculate the greatest common factor of 23353572 and 88.
44
Calculate the greatest common divisor of 136929898 and 47866.
3682
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
4*k**3/3 - 25*k**2. Let l(v) = v - 1. Give -10*l(r) - t(r).
-2*r + 2
Let u(j) = -2*j**3 - 6*j**2 - 4*j - 2. Let x(p) = -5 + p**3 + 3*p**3 - 13*p**2 - 9*p - 9*p**3. Give 9*u(y) - 4*x(y).
2*y**3 - 2*y**2 + 2
Let a(z) = -10*z + 20. Let p(u) = 3*u - 7. Calculate -5*a(q) - 14*p(q).
8*q - 2
Let r(l) = 2. Let v(f) be the first derivative of f**2/2 - 7*f - 2. Let u(c) = -c**2 - 13*c - 32. Let m be u(-10). What is m*v(i) - 7*r(i)?
-2*i
Let t(d) = -6*d**3 - 5*d + 3. Let r(c) = 3*c**3 + 3*c - 2. Let x be (-12)/(-16)*(-11 - -3). Let q be ((-10)/(-6))/(x/18). Give q*r(s) - 3*t(s).
3*s**3 + 1
Let a(k) be the first derivative of k**3 + k**2/2 - 2*k + 24. Let i(x) = 1. What is -a(n) - 4*i(n)?
-3*n**2 - n - 2
Let x(r) = -15*r**3 + 13*r**2 + 11. Let u(f) = -8*f**3 + 7*f**2 + 6. Let g be 1 + (40/(-6))/(24/(-36)). Give g*u(y) - 6*x(y).
2*y**3 - y**2
Let w(i) = 15*i**2 - 13*i + 29. Let x(u) = -7*u**2 + 6*u - 15. Determine -6*w(c) - 13*x(c).
c**2 + 21
Let l(r) = 0 - 3 + 3 + r - 1. Let v(m) = -m - 7. Let j be v(-5). Let w be -2*(-4 - -1 - j). Let y(k) = -12*k + 10. What is w*y(s) + 22*l(s)?
-2*s - 2
Let w = 3 - 3. Suppose w = 4*m + 4. Let o(a) = 1 + a**2 + a**2 + 0*a - 3*a**2 + a. Let j(v) = -10*v**2 + 8*v + 8. What is m*j(p) + 8*o(p)?
2*p**2
Let v(d) = -22*d - 14. Let b(s) = -15*s - 9. Determine -8*b(n) + 5*v(n).
10*n + 2
Let d(c) = -15*c**2 - 3 + 2*c - 11*c**2 + 21*c**2. Let u(y) be the third derivative of 7*y**5/30 - 5*y**4/24 + 4*y**3/3 + y**2. Determine 8*d(f) + 3*u(f).
2*f**2 + f
Let n(z) = -1. Let t be ((-9)/18)/(2/(-4)). Let j(o) = -o - 2. What is t*j(a) - 3*n(a)?
-a + 1
Let u(s) = -3*s**2 - 2*s. Let q(k) = 4*k**2 + 2*k + 1. What is -4*q(z) - 5*u(z)?
-z**2 + 2*z - 4
Suppose -3*k + 27 = -6*k. Let z be k/2 - 2/4. Let b(p) = -5*p + 18. Let s(t) = -t + 3. Let a(c) = b(c) - 6*s(c). Let v(g) = 3*g. Calculate z*a(h) + 2*v(h).
h
Suppose 2*w = -q + 3, 3*q + 1 = -q + 5*w. Let s(x) = 1. Let a(h) = -h - 2. What is q*a(z) + 2*s(z)?
-z
Let p = 3 - -8. Let l(a) = -p + 6*a + 2*a + a. Let r(i) = -5*i + 6. Determine -4*l(s) - 7*r(s).
-s + 2
Let p(f) = -3*f**3 + 5*f**2 + 2*f - 7. Let z = -15 - -1. Let n(j) = -8*j**3 + 14*j**2 + 6*j - 20. Let o(r) = -r - 3. Let i be o(-8). Give i*n(b) + z*p(b).
2*b**3 + 2*b - 2
Let p(b) = b**2 - 1. Let n(r) = -23*r**2 + 6. What is -n(y) - 6*p(y)?
17*y**2
Let z(m) = 7*m - 1. Let b(i) = 8*i - 1. Let v(n) = 3*b(n) - 4*z(n). Suppose f = -f - 3*u - 19, u - 3 = 4*f. Let l(s) = -9*s + 2. What is f*l(a) + 5*v(a)?
-2*a + 1
Let n(l) = -5*l**3 + 6*l + 6. Let p(x) be the second derivative of x**5/20 - x**3/6 - x**2/2 - 13*x. Determine n(f) + 6*p(f).
f**3
Let b(d) = -2*d**2 - 4*d - 2. Let p(k) be the third derivative of -k**4/24 + 15*k**2. Let v(m) = m**2 + 3*m + 3. Let l be v(-2). Give l*b(a) - 6*p(a).
-2*a**2 + 2*a - 2
Let j(z) = -4*z**2 - 5. Let r(g) = -2*g**2 - 3. Let m(n) = -n**2 + 5*n**2 - 5 + 8*n + 0 - 5*n**2. Let y be m(8). Give y*r(l) + 3*j(l).
-2*l**2
Let t(h) = 148*h - 17. Let l(a) = 49*a - 6. Determine -17*l(s) + 6*t(s).
55*s
Let t(l) = 3*l - 5. Let p(u) = 15*u - 26. Calculate 2*p(w) - 11*t(w).
-3*w + 3
Let p(r) = -r**2 - 3*r - 3. Let g(j) = -165 + 167 + j + 2*j**2 + j - j**2. Determine -5*g(v) - 3*p(v).
-2*v**2 - v - 1
Let t(l) = 14*l - 22. Let g(s) = -2*s + 3. Suppose 11*r + 54 = 2*r. What is r*t(v) - 44*g(v)?
4*v
Let b be (-9 - (0 + -1)) + 3. Let c(f) = -f**3 - 2*f**2 - 3*f - 3. Suppose -3 = d - 8. Let t(v) = 3*v + 0*v + 3*v**2 + v**3 + 2*v + d. What is b*c(k) - 3*t(k)?
2*k**3 + k**2
Let n(p) = 4*p**3 - 9*p**2 + 9*p. Let s(m) = -3*m**3 - 4*m. Let w(t) = -13*t**
|
{
"pile_set_name": "DM Mathematics"
}
|
d**5 = 0. What is d?
1, 2
Let s(w) = -2*w**2 - 8*w + 2. Let t(j) = -j**2 - 3*j + 1. Let f(v) = -3*s(v) + 8*t(v). Find x, given that f(x) = 0.
-1, 1
Let o(b) be the second derivative of -b**7/1680 - b**6/720 + b**5/240 + b**4/48 - b**3/2 - 3*b. Let r(u) be the second derivative of o(u). Solve r(f) = 0.
-1, 1
Let v(x) be the third derivative of 0 + 9*x**2 + 0*x**6 + 0*x**3 + 0*x**5 - 1/280*x**7 + 0*x + 0*x**4. Factor v(c).
-3*c**4/4
Let b(l) = -l**5 - l**4 + l**3 + l. Let g(s) = 4*s**5 + 16*s**4 - 8*s**3 - 8*s**2 - 4*s. Let x(m) = -8*b(m) - g(m). Let x(n) = 0. What is n?
-1, 0, 1
Let -3*c**2 - 4*c**4 + 6*c**3 + 0*c**2 - c**2 + 2*c**4 = 0. Calculate c.
0, 1, 2
Find a, given that -6/13*a**2 - 4/13*a + 0 + 14/13*a**4 + 6/13*a**3 + 6/13*a**5 = 0.
-1, 0, 2/3
Let d(p) = -4*p - 2 - 8 + 2*p. Let x be d(-6). Factor 0 + 0*a + 4/3*a**x - 16/3*a**3 + 7/3*a**4.
a**2*(a - 2)*(7*a - 2)/3
Let f(w) be the second derivative of 25*w**7/168 + 7*w**6/12 + 69*w**5/80 + 7*w**4/12 + w**3/6 + 9*w. Factor f(b).
b*(b + 1)**2*(5*b + 2)**2/4
Solve 1/5*q**3 - 1/5 + 1/5*q**2 - 1/5*q = 0.
-1, 1
Let p(r) be the second derivative of -r**7/42 + r**6/10 - r**5/10 - r**4/6 + r**3/2 - r**2/2 - 12*r. Factor p(g).
-(g - 1)**4*(g + 1)
Let i be (10 - 1) + (-1 - 1). Factor 1 + 0*f + 0*f + 15*f**2 - 3*f - i - 6*f**3.
-3*(f - 2)*(f - 1)*(2*f + 1)
Let f(u) = 3*u**2 - 17*u + 14. Let a(c) = 2*c**2 - 11*c + 9. Let z(i) = -7*a(i) + 5*f(i). Let s be z(7). Suppose 0*t**2 + s - 2/7*t**3 + 2/7*t = 0. What is t?
-1, 0, 1
Let b = 35 + -20. Suppose y = -4*y + b. Suppose -t**y - 1/4*t**4 - 3/2*t**2 - t - 1/4 = 0. Calculate t.
-1
Let u(s) be the first derivative of 4/9*s + 8 + 2/27*s**3 - 1/3*s**2. Let u(k) = 0. Calculate k.
1, 2
Let h(k) be the second derivative of 2*k - 1/6*k**2 + 0*k**4 + 1/9*k**3 + 0 + 1/90*k**6 - 1/30*k**5. Factor h(j).
(j - 1)**3*(j + 1)/3
Let o(a) = -a**5 - 4*a**4 + 7*a**3 - 7*a**2 + 4*a + 1. Let m(v) = -v**4 + v**3 - v**2 + v. Let d(u) = -5*m(u) + o(u). Determine n so that d(n) = 0.
-1, 1
Let z = 1078 - 1076. Factor -312/5*v + 16/5 - 4394/5*v**3 + 2028/5*v**z.
-2*(13*v - 2)**3/5
Let z = 9 - 14. Let r = 8 + z. Factor 4 - r*y**2 - 4 + 3*y.
-3*y*(y - 1)
Let i(h) be the first derivative of 2*h**3/51 + 5*h**2/17 - 12*h/17 - 8. Factor i(f).
2*(f - 1)*(f + 6)/17
Let y be (3 + -3)*1/2. Solve 0*d**2 + y - 2/5*d**3 + 2/5*d = 0 for d.
-1, 0, 1
What is b in -1/4*b + 0 + 1/4*b**2 = 0?
0, 1
Factor 22*o**2 + 3 - 34*o**2 + 13*o**2 + 4*o.
(o + 1)*(o + 3)
Let v(c) be the second derivative of 0 - 2/33*c**3 + 3*c + 0*c**2 + 1/66*c**4. Find n such that v(n) = 0.
0, 2
Let h(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**3 + 1/72*o**4 - 1/180*o**5 + 3. Let a(g) be the second derivative of h(g). Solve a(p) = 0 for p.
0, 1
Factor -6*i**2 - 36*i - 72 - 1/3*i**3.
-(i + 6)**3/3
Let t = 205 + -203. Let p(h) be the first derivative of 0*h - 2*h**t - 4 + 2/3*h**3. Solve p(j) = 0 for j.
0, 2
Let p(h) be the first derivative of -h**6/39 - 2*h**5/65 + h**4/26 + 2*h**3/39 + 21. Suppose p(b) = 0. What is b?
-1, 0, 1
Suppose 51 = 30*r - 13*r. Solve -2*y**4 + 0 + 0*y + 10/3*y**5 - 4/3*y**r + 0*y**2 = 0.
-2/5, 0, 1
Let p(q) = 6 - 9 + 12*q - 6 - q**2. Let x be p(11). Factor 0*n - 18*n + n**x + 0 + 2*n**2 + 27.
3*(n - 3)**2
Solve -6*s**2 - 32*s - 2*s**3 + 4*s**3 + 14*s**2 + 2*s**3 = 0.
-4, 0, 2
Let u(h) be the third derivative of 2/45*h**5 + 0 - 1/18*h**4 + 1/90*h**6 + 5*h**2 + 0*h - 4/9*h**3. Factor u(y).
4*(y - 1)*(y + 1)*(y + 2)/3
Let x(k) = k**2 - 1. Let y(w) = -99*w**2 - 108*w + 80. Let a(c) = 66*c**2 + 72*c - 53. Let r(g) = -8*a(g) - 5*y(g). Let h(p) = -r(p) - 12*x(p). Factor h(z).
3*(z + 2)*(7*z - 2)
Let g = -37 - -40. Let -8/3*d**g - 2/3 + 2/3*d**2 + 8/3*d = 0. What is d?
-1, 1/4, 1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Is 2 greater than or equal to 5079/2023?
False
Which is greater: -646 or -35.838?
-35.838
Which is smaller: 1584991 or 1584982?
1584982
Is -436/626103 smaller than 1?
True
Is 9.32778 less than -1/81?
False
Which is bigger: -1 or -1352/540041?
-1352/540041
Do -0.1 and -584/17621 have the same value?
False
Which is greater: -5460 or -1774254/325?
-1774254/325
Is -45/521582 equal to -1?
False
Is -105 less than 1028933?
True
Which is smaller: 1 or -485/48222?
-485/48222
Are -105396/3905 and -26 equal?
False
Are 145674912 and 145674912 equal?
True
Which is bigger: -4/8564337 or -1?
-4/8564337
Which is smaller: -1286370 or -1286368?
-1286370
Is 1256904 smaller than 1256808?
False
Which is smaller: -38/7218779 or -1?
-1
Which is smaller: -67 or -809703?
-809703
Which is smaller: 1 or -4/1184917019?
-4/1184917019
Which is smaller: -235/8 or 229075?
-235/8
Is -0.02523 != -3/91?
True
Is -3757374 greater than or equal to -3757363?
False
Is -324653502 >= -324653503?
True
Is -1/4 equal to -142668.971?
False
Is -3876 < -3075?
True
Is -2004379 at most as big as -35?
True
Which is bigger: 1 or 3/10854742?
1
Which is greater: 60124 or -11?
60124
Which is smaller: -270 or -1112?
-1112
Which is bigger: -751091 or -751199?
-751091
Which is greater: 16/47987199 or 0?
16/47987199
Which is smaller: 779312 or 779324?
779312
Which is smaller: -165482 or -167124?
-167124
Is 57283699 at least 286418502/5?
False
Which is smaller: 9.46039 or -3?
-3
Which is smaller: -22564210/69 or -327019?
-327019
Are -34/5 and -14485.7 equal?
False
Which is smaller: 186 or -1916299?
-1916299
Are -13991229 and -13991231 non-equal?
True
Is 2/83595337 at least 0?
True
Which is smaller: 1/22040854 or 0?
0
Are 144040 and 144036 non-equal?
True
Are 53831680 and -4 unequal?
True
Which is smaller: -12632 or -442142/35?
-442142/35
Which is smaller: 16711715/7 or 2387387?
2387387
Which is smaller: 77966 or 77988?
77966
Are 13542 and 812573/60 unequal?
True
Which is smaller: -276452 or -9675786/35?
-276452
Is -32744431 >= -32744425?
False
Which is bigger: -1 or 2/628083309?
2/628083309
Is 1 less than or equal to -10/46890151?
False
Is 4494765 greater than or equal to 4494762?
True
Which is greater: 58393 or 58391?
58393
Is -411754607 bigger than -411754606?
False
Which is bigger: 17716465 or -0.1?
17716465
Is -7 greater than or equal to -4936/655?
True
Does 168484091 = 168484091?
True
Which is greater: -999830 or -999835?
-999830
Is 1 bigger than 210/1741169?
True
Is 229002 > 229557?
False
Is -16955174 > -16955184?
True
Which is bigger: 25/8 or 353/814?
25/8
Which is greater: 389157 or -17/6?
389157
Which is greater: 32815 or 3815?
32815
Which is smaller: 1 or -1/2389339?
-1/2389339
Which is bigger: -8 or 4631289?
4631289
Which is bigger: 0.4 or 134385.8?
134385.8
Which is smaller: 4867941/46 or 105826?
4867941/46
Which is smaller: 257 or 0.1445718?
0.1445718
Which is smaller: 1127206 or 1127282?
1127206
Which is smaller: 2/5 or 492/7289?
492/7289
Which is smaller: 56 or -2/257129?
-2/257129
Which is smaller: -1/2 or 63.959652?
-1/2
Which is smaller: -7/778048 or 0?
-7/778048
Which is smaller: 1724139 or 1724141?
1724139
Which is smaller: -1 or 2/38217019?
-1
Is -21870 smaller than -23390?
False
Is -23343482 at least -23343483?
True
Which is smaller: 117/14 or -3858?
-3858
Which is smaller: -173821286 or -173821287?
-173821287
Which is greater: -11771.023 or 8?
8
Is 22012348 > 3?
True
Which is smaller: -11524 or -11366?
-11524
Does 519/121813 = 1?
False
Which is greater: 65005872 or 65005876?
65005876
Which is smaller: 26960 or 33?
33
Which is greater: 0 or 24/10012543?
24/10012543
Which is greater: -575068 or -575052?
-575052
Do 191889577 and -6/5 have different values?
True
Which is smaller: -2/3147553303 or -1?
-1
Is -8 not equal to -0.021377?
True
Is -24 at least -18201/772?
False
Which is smaller: 67/755341 or -1?
-1
Which is smaller: 1457 or 449019/308?
1457
Is 2/5 at least as big as -103640529?
True
Which is bigger: -1822407 or -1822405?
-1822405
Is -1457432 less than -22?
True
Which is greater: 4372733 or 4372748?
4372748
Which is smaller: 536733/76 or 7061?
7061
Are 498807 and -12 equal?
False
Is 12290328 >= 12290327?
True
Is 1 equal to -1430/3811?
False
Does 140902 = 321?
False
Which is bigger: -6/1787635 or -1?
-6/1787635
Which is smaller: 1 or 8312/1229?
1
Which is bigger: 12636545 or 37909639/3?
37909639/3
Is 51912/3917 <= 14?
True
Are -0.105859581 and 3 unequal?
True
Is -16680 < -1810.3?
True
Is 142.94 smaller than 786?
True
Which is smaller: 5213102/5 or 1042620?
1042620
Are -133 and 93707 unequal?
True
Is 1/24787890 smaller than -1?
False
Is -67392 equal to -68373?
False
Which is greater: 40208 or 39281?
40208
Is -84608 < -83222?
True
Which is bigger: -2809949 or -1/14?
-1/14
Is 0.202 > -89758?
True
Is 2/5 bigger than 554467.552?
False
Is 0 at most 3398/100415?
True
Which is bigger: -45938 or -45160?
-45160
Is -42887663 >= -42887658?
False
Which is bigger: -227 or -113137/497?
-227
Which is greater: -1/835419771 or -1?
-1/
|
{
"pile_set_name": "DM Mathematics"
}
|
uct of 5 and -81.6.
-408
What is the product of 0 and -10.8?
0
-4292 * -0.3
1287.6
What is the product of 1.05 and 1?
1.05
Multiply -671 and -0.07.
46.97
0.3*-1.24
-0.372
Product of -92 and -5.
460
Calculate 0.2*857.
171.4
What is the product of 0.4 and 0.6?
0.24
-5 * -124
620
What is -1 times 21?
-21
What is the product of 3 and -79?
-237
11.99*3
35.97
Product of 486 and -0.09.
-43.74
Product of 3 and 26.
78
50.8*-0.38
-19.304
-4 * -42
168
Product of 0.0648 and 0.2.
0.01296
Multiply 75 and -0.57.
-42.75
0.04*-0.18
-0.0072
Multiply -0.04 and 25.
-1
-0.2 times 3115
-623
What is 0.5 times -669?
-334.5
Product of 4 and 8.
32
9.416*-0.4
-3.7664
Product of 418 and -0.3.
-125.4
Product of -0.11 and -9.1.
1.001
Work out -127 * -3.
381
Calculate 16*-5.2.
-83.2
What is the product of 0 and 679?
0
What is the product of -3203 and 0.1?
-320.3
-179.4 times -0.8
143.52
What is -8.47 times 5?
-42.35
What is the product of -4 and -0.1067?
0.4268
31 times 0
0
Work out -67.9 * 0.02.
-1.358
Calculate 0.33*-0.19.
-0.0627
Product of -0.273 and -35.
9.555
What is the product of 11 and -1.3?
-14.3
Work out -0.24 * 5.
-1.2
What is the product of -0.3 and -18?
5.4
Calculate 1*0.33.
0.33
Work out -32 * 5.
-160
Product of -0.6 and -63.
37.8
Product of -269 and 0.1.
-26.9
0.8 * -119
-95.2
0.2 * -83
-16.6
Work out -16 * 2.
-32
Work out 0.3 * -12.
-3.6
Work out -0.4 * -431.
172.4
Work out -25.413 * -5.
127.065
Calculate -2*-24.
48
Calculate 517*0.05.
25.85
What is the product of -645 and 0?
0
Work out 0.063 * -0.4.
-0.0252
1439 * -1
-1439
Multiply 2.94 and -0.1.
-0.294
What is the product of -0.3 and -0.067?
0.0201
-0.0875 * -0.06
0.00525
0.116 * 5
0.58
152 times 2
304
4 times 5117
20468
-1283*0.1
-128.3
What is the product of 1.5 and 0.0189?
0.02835
Multiply 0.43 and -0.06.
-0.0258
Product of -5.038 and 0.3.
-1.5114
Product of 0.0836 and -4.
-0.3344
Product of -13 and 0.054.
-0.702
Product of 0.066 and 29.
1.914
Multiply -648 and -0.01.
6.48
Work out -0.029 * 7.
-0.203
Product of 0.05 and -0.3.
-0.015
5 * -888
-4440
0.1*374
37.4
0.044 * 6
0.264
319*-0.03
-9.57
What is the product of 0.00398 and 0.5?
0.00199
Product of 3 and 1.79.
5.37
Multiply -2 and 2.
-4
What is the product of -3 and -206?
618
Product of -0.4 and 0.122.
-0.0488
Product of 2 and 4.5.
9
Multiply 1171 and 1.
1171
-1320*-5
6600
Multiply -1 and -3207.
3207
What is 63 times -0.5?
-31.5
What is 2779 times -0.3?
-833.7
5 * -0.03183
-0.15915
Multiply -36 and 0.3.
-10.8
Product of 0.041499 and -5.
-0.207495
Product of 15 and 81.
1215
Multiply -0.5 and -0.0462.
0.0231
0.03 * 1050
31.5
Calculate -11*-173.
1903
What is -0.04 times -0.367?
0.01468
What is the product of 288 and 0.1?
28.8
-0.3*-0.39
0.117
Work out -1 * -141.
141
What is 0.9 times -2.9?
-2.61
Calculate 182*1.9.
345.8
3*2771
8313
4 times -0.077
-0.308
What is the product of -5845 and -0.2?
1169
What is 3 times -20?
-60
What is the product of -0.011 and 0.8?
-0.0088
What is -1.7 times 2?
-3.4
-23226*-1
23226
What is 0 times -278?
0
Work out 371 * -4.
-1484
What is the product of -72 and 10.5?
-756
579 times -4
-2316
Work out 0.1223 * 5.
0.6115
What is 172 times -0.07?
-12.04
Product of -0.29 and 0.5.
-0.145
-0.058 * 0.1
-0.0058
What is -0.178 times 0.9?
-0.1602
0.4 * 0.74
0.296
-4.45 * 0.05
-0.2225
Calculate -0.06*0.4.
-0.024
Multiply -17 and -135.
2295
Work out 9.8 * 7.9.
77.42
Calculate -0.3*917.
-275.1
Calculate 0.08*-0.016.
-0.00128
1.41 times 0.5
0.705
0.2*-17
-3.4
Multiply -0.2 and -2.357.
0.4714
144 times 2
288
What is 263 times 3?
789
Product of 0.13 and 213.
27.69
Product of 2.4 and -0.06.
-0.144
7.19 times -5
-35.95
Product of 328 and -5.
-1640
What is -3.016 times 5?
-15.08
-14.13 times -13
183.69
What is -0.71 times 2?
-1.42
What is 2.5 times 0.5?
1.25
What is -34 times 6?
-204
3 * 0.037
0.111
Calculate 549*-4.
-2196
Calculate -0.0361*3.3.
-0.11913
-0.61*-1.52
0.9272
0.8 times -0.001
-0.0008
0.2*179
35.8
Work out 0.0591 * -0.5.
-0.02955
What is 327 times 0.021?
6.867
What is the product of -0.8 and 27?
-21.6
Calculate 0.446*-0.4.
-0.1784
What is -112 times -4?
448
Work out -1.82 * -7.
12.74
What is the product of -51082 and 0?
|
{
"pile_set_name": "DM Mathematics"
}
|
2532. Find the common denominator of -13/12 and k.
12
Let z be (-455)/15 + (-2)/(-6). Let s be (-4)/10 - 1782/z. Suppose s + 31 = 5*i. What is the least common multiple of 4 and i?
36
Suppose -28 = -2*a + 4*q, 3*q = -5*a - q + 126. Calculate the least common multiple of 8 and a.
88
Let m = 12708 - 457625/36. Calculate the common denominator of -95/12 and m.
36
Let m = 1 - -2. Let i = -63 + 45. Calculate the least common multiple of m/(-12) - i/8 and 2.
2
Let u(b) = b**3 - 3*b**2 + 8. What is the smallest common multiple of u(3) and 48?
48
Let c(v) = v**2 - 9*v + 1. Let g be c(10). Suppose 0 = 3*q - 4*i, 3*q + g = 5*q + i. What is the least common multiple of 3 and q?
12
Let q = -11 + 47. Calculate the least common multiple of q and 14.
252
Let w = -2/6669 + 4012/28203201. Let f = 469439/126870 + w. Calculate the common denominator of (-1)/2 + (-882)/54 and f.
30
Calculate the common denominator of -83/10 and (-586)/(-180) + 0 + 0 + -2.
90
Let h be -5 - (-9)/(9/2). Find the common denominator of 6/7 and 51/27 + h + 5.
63
What is the lowest common multiple of 13 - (-1 + 1 + 1)*3 and 12?
60
Suppose 11 = 3*b - 7. Suppose -v + 40 = 4*v. What is the smallest common multiple of b and v?
24
Let i be -2 - -4 - (-1 + 0). Suppose 2*q = -i*q + 50. Calculate the smallest common multiple of 10 and q.
10
Suppose f + 3*p = 9, 7*p = 5*f + 2*p - 65. Calculate the least common multiple of 16 and ((-9)/f)/((-6)/16).
16
Let w = -57/52 - -1871/260. Let h = 3867/4 - 973. Find the common denominator of h and w.
20
Let b = -5659/7 + 807. Calculate the common denominator of -17/2 and b.
14
Suppose 0*a = 3*a + 9. Let q = 15 - a. Suppose j = -w + 23, 34*w + 26 = 35*w + 4*j. What is the least common multiple of w and q?
198
Let v be 8/3*6/(-4). Calculate the lowest common multiple of 16 and 2 + -2 + v - -16.
48
Suppose -8*w = -6*w - 40. What is the least common multiple of w and 4?
20
Suppose 0 = -4*j - 3*u + 163, 3*u - 8 = -2*j + 75. Suppose s = -4*s + 10. Calculate the smallest common multiple of ((-2)/5)/((-8)/j) and s.
2
Let c = 1714 + -11962/7. Let o be 1 - (1 - (-82)/45). Let f = 2/495 + o. Find the common denominator of f and c.
77
Let j(p) = -p**2 - 10*p - 14. What is the smallest common multiple of 12 and j(-6)?
60
Find the common denominator of (-10)/28*(-1 - -2) and -8/5.
70
Suppose -5*j - 4*o - 1254 = 0, j + 251 = -0*j - o. Calculate the least common multiple of 8 and j/(-15) - (-6)/(-9).
16
Let z(n) = -n**2 + 9*n - 9. Let a be z(7). Let d be 2/(-2)*(a - 3). What is the common denominator of (-3 - d)*(-19)/(-3) and -43/3?
3
Find the common denominator of -31/8 and 1/(285/93 + -3).
8
Let s = -4632824/10655 - -6/2131. Let w = -433 - s. Let g = 2297 - 13855/6. Calculate the common denominator of g and w.
30
Let x = -3 + 5. Suppose 0 = -0*r - 3*r + 27. Calculate the least common multiple of r and (-1 + x + 0)*1.
9
Find the common denominator of (-2)/4 - 46*(-8)/(-64) and 31/7.
28
What is the lowest common multiple of (6 + (3 - 29))*(-4)/8 and (-12)/10*(-80)/6?
80
Let y = 18 - 143/5. What is the common denominator of 73/4 and y?
20
Calculate the lowest common multiple of 6 + -2 + (-8)/(-2) and 12.
24
Let g(r) = -2*r - 1. Let c be g(8). Let y = c - -28. Calculate the least common multiple of y and 10.
110
Suppose 28 = -3*y + 55. Calculate the lowest common multiple of y and 29.
261
Let o be (2 + -2)/((-2)/(-1)). Suppose 0 = -o*m - 3*m + 24. What is the smallest common multiple of m and 8?
8
Calculate the least common multiple of 12/21*(-3 - (-2 - 8)) and 2/4 - 6/(-4).
4
Let j = 6341/8 + -795. Let u = -100/27 - 1727/270. What is the common denominator of u and j?
40
Let b be 4/6 + (-506192)/(-24). Let d = b - 464103/22. Let x = 8/499 - -12411/3992. Find the common denominator of x and d.
88
Suppose 73 = b + 5*p - 55, 0 = -3*b - 5*p + 364. Suppose n = 5*n + 8. Find the common denominator of 55/4 and b/(-28) + n/1.
28
Let f(r) = -r + 10*r**2 - 3*r + 6*r - 4*r**2. Calculate the lowest common multiple of f(-2) and 20.
20
Suppose -5*u = -4*y - 62, -3*u + 18 = -3*y - 21. What is the least common multiple of u and 56?
280
Let p(g) = g - 3. Let w be p(6). Suppose 2*q = -w*q + 25. Suppose -24 + 9 = -q*c. What is the least common multiple of 3 and c?
3
Suppose -6*f + 3*f = 3*d - 102, 0 = 5*f - 5*d - 130. What is the least common multiple of 9 and f?
90
Suppose -2*v + 3*m + 1 = 0, -2*v - 5*m + 41 = -0*m. Calculate the common denominator of -53/18 and (3/v)/((-56)/1184).
126
Let y = 10 - 4. Calculate the lowest common multiple of ((-33)/12)/((-1)/4) and y.
66
Calculate the smallest common multiple of (-6)/(-4) - (-148)/8 and 22.
220
Let d be 418052/966*78/(-3880). Let l = -1/15617 + d. Let q = 2/5629 - -298305/90064. What is the common denominator of q and l?
80
Let s = -14 + 2. What is the common denominator of 97/20 and (-51)/s - 18/24?
20
Suppose 2*n - 4*f = -38, -n + 4*f - 25 = -f. Let c = -13 - n. Let j(m) = -7*m - 6. Calculate the least common multiple of c and j(-4).
22
Suppose 0 = -a - 10*n + 40, -4*a - 3*n + 66 = -a. Let q = -5 - -9. Calculate the least common multiple of a and q.
20
Suppose 0 = -0*c - 2*c + 16. Let i(z) = -2*z - 7. What is the lowest common multiple of c and i(-5)?
24
Let r = 20 + 0. What is the least common multiple of r and 44?
220
Let v = -11 - -4. Let p = 182/23 + -1542/253. Find the common denominator of p and 4/14 - 23/v.
77
Let x(w
|
{
"pile_set_name": "DM Mathematics"
}
|
-2, 0.5?
0.5
Let f be (-1)/11*2/2. Let q be ((-12)/102)/1 - (-25)/68. What is the closest to q in f, 1, 5?
f
Let j = 9836 + -9836.1. Suppose 5*f - 30 = -5, 0 = -5*l + 5*f - 5. Suppose -3*t - 2*z - 3 = z, -24 = 4*t - z. Which is the nearest to j? (a) 2/9 (b) l (c) t
a
Let n = -279 - -279.1. Which is the closest to n? (a) -1.8 (b) 0.3 (c) 0.1
c
Let i = 5 - 4.8. Let v be 6 - 4 - 10/4. Which is the closest to v? (a) -1/2 (b) -0.4 (c) i
a
Suppose 8*o + 80 = 13*o. Let u be (-11)/(-21) + o/(-24). Let p = 0 + -0.4. Which is the closest to -0.1? (a) p (b) -1/8 (c) u
b
Let q be -1*((-411)/12)/((-3)/(-6)). Let y = q - 70. Let i = -20 - -12. What is the nearest to 0 in i, y, 3?
y
Let u = 45.6 + -43.6. Let g = 6 - 5.9. Let i = -0.1 + 0.5. Which is the closest to g? (a) u (b) i (c) -4/5
b
Let w(g) be the third derivative of 0*g + 1/24*g**4 - 7/6*g**3 + 8*g**2 + 0. Let k be w(12). What is the closest to 0 in 1/6, k, 4?
1/6
Let f = 7 - 7.04. Let d be ((-18)/63)/((-16)/(-28)). Which is the nearest to f? (a) -2/5 (b) 2/11 (c) d
b
Let g = 2.1 + -2. Let i = 0.21 - -0.79. Let n = -1.15 - -0.15. Which is the closest to i? (a) -2/11 (b) n (c) g
c
Let o = 159.09 - 158. Let j = o + -1.1. Which is the closest to -0.3? (a) -5 (b) 0 (c) j
c
Let h = -57 - -59. Suppose 4*l = 2*o + 10 - 2, 5*o + h = l. Which is the nearest to -0.2? (a) -5 (b) o (c) -1
b
Let p = 0 - -0.5. Let o = 21 + -21. Let f = 1.8 + -0.8. Which is the nearest to o? (a) -0.1 (b) p (c) f
a
Let g = 0 + 0.1. Let p = -23.9 + 21.9. Let z = -0.2 - -0.3. Which is the nearest to g? (a) 1 (b) z (c) p
b
Let b = -68 - -40. Let x = -23 - b. What is the closest to -1 in 4, x, -3/4?
-3/4
Let h be 3/2 + 207/(-92). What is the nearest to 1/4 in 12, 0.1, 0, h?
0.1
Let i = -2/503 + -1000/1509. Which is the nearest to i? (a) 1 (b) -1/4 (c) -2
b
Suppose 2 = -4*u - 2*l, -2*l = 5*u - 0*u + 3. Which is the closest to u? (a) 3/4 (b) 4 (c) -2
c
Let d be (-12)/54 + 32/90. Let t = 35 + -35.2. Which is the nearest to -0.3? (a) t (b) d (c) 1
a
Let t be 2/12 - 299/(-78). Suppose 3 = -5*m - t*o - 3, -2*o = 8. Suppose 2*g - 3*g + 25 = 4*x, 3*g + 5*x = 40. Which is the closest to m? (a) g (b) 0 (c) -5
b
Let i = -0.1 - -0.02. Which is the closest to -0.3? (a) -2 (b) -3/7 (c) -5 (d) i
b
Suppose -5 - 13 = -2*f + 4*g, -7*g - 35 = 0. Let q = 12 + -8. Let j = -3.03 + 0.03. What is the nearest to j in f, 2/15, q?
f
Let a = -48 + 65. Let q = 17 - a. What is the nearest to q in 0.1, 0.3, 5?
0.1
Let w = -1976 + 1975.4. Which is the nearest to w? (a) 1/6 (b) 3/5 (c) 1.4
a
Let k be (-4)/(-18) + (-24)/351. Suppose 3*u = j + 18, -j + 2*j = 4*u - 23. Let d be u/18*2/(-5). Which is the nearest to -1? (a) d (b) k (c) 4
a
Let f = 214 - 641/3. What is the nearest to -1/4 in -2, -9, f?
f
Let c be -2 - (2 - (-10)/(-3)). Let v = 1 + c. Let s = 268 + -263. What is the nearest to v in 1/3, s, 2?
1/3
Let y = 181 + -173. What is the nearest to -2 in y, -1/3, 2/11?
-1/3
Let s = -527 + 527.1. Which is the nearest to s? (a) -2/13 (b) -3 (c) -4/3 (d) 1/8
d
Let v = 1058 + -1061. What is the closest to v in -5, 7, 4?
-5
Let t = 271 + -270. Which is the closest to -11? (a) 0.2 (b) -4 (c) 3 (d) t
b
Let h = 0.72 - 0.02. Let y = 4.5 + 1.5. Let d = y + -5. Which is the closest to d? (a) h (b) 3 (c) -4
a
Let g = 0 - 2. Let s = -242 - -238. Which is the closest to s? (a) g (b) 2 (c) -1/2
a
Let o be (-132)/28 - 3/(6/(-10)). What is the closest to -6 in -4, -0.6, o?
-4
Let j be 79/((5/(-3))/5). Let l = j + 2609/11. Let k = 0.5 + 0. Which is the nearest to 0.3? (a) k (b) l (c) -3
b
Let y = 2516 - 2517.2. What is the closest to 0 in y, -1, -7/6?
-1
Suppose -15*o - 48 = 57. What is the closest to 2 in -2, o, 3, -3/10?
3
Let a = -1.97 + -0.03. Let j = -2.8 - -3. Let p = 0.23544 - -0.06456. What is the nearest to a in p, j, 3?
j
Let z = -545 - -542. What is the closest to 0 in z, 0.08, 1?
0.08
Let s = 3 - 12. Let y = -3088 + 3083. What is the closest to s in 4, y, -2/15?
y
Let j(z) = 2*z**3 + 1. Let s be j(-2). Let n(d) = d**2 - 16*d - 14. Let k be n(16). Let b = s - k. What is the nearest to b in
|
{
"pile_set_name": "DM Mathematics"
}
|
l*x. Let w = 7 + 28. What is the highest common factor of w and x?
5
Let u be (108/14)/(21/196). Let n be -12*(0 - u/2). Calculate the highest common divisor of n and 48.
48
Suppose 76 = -3*c + 7*c. Let x = 65 + c. What is the highest common factor of 56 and x?
28
Let u(q) = 19*q + 122. Let c(k) = -9*k - 61. Let w(f) = 5*c(f) + 2*u(f). Let z be w(-12). What is the highest common divisor of 23 and z?
23
Let k = -117 - -47. Let o = k + 124. Suppose 0 = -0*x + x + y - o, 3*x = -y + 158. Calculate the greatest common divisor of x and 13.
13
Let i(c) = 5*c - 17. Let a be (9/12*-6)/((-3)/4). Let r be i(a). What is the highest common divisor of r and 286?
13
Let j be (0/4 + (-1 - -124))/1. Suppose -5*p + 77 = -j. Let m(b) = b**2 - 6*b + 5. Let o be m(-5). What is the greatest common divisor of o and p?
20
Let v be (-1 + 2)/(1/2). Let x be 1/(v + (-124)/64). Let p be 3 + (-1 - -2) + x. What is the greatest common factor of 20 and p?
20
Let n = 300 - 292. What is the highest common divisor of n and 268?
4
Suppose -2*c + 4*h = 0, 3*c + h - 3 = 4*h. Suppose c*v - 3*v = -28. What is the highest common factor of 42 and v?
14
Let u = 218 - 146. Let y = -64 + u. What is the greatest common divisor of 16 and y?
8
Let q(h) = -2*h**2 + 7*h. Let x be q(-3). Let d = x + 52. What is the highest common divisor of 91 and d?
13
Let l = 277 - 197. Suppose 2*p - 5*i - 235 = 0, 22*p - 3*i = 23*p - 123. Calculate the greatest common divisor of l and p.
40
Suppose 0 = 59*v - 57*v + 112. Let o = 65 + v. What is the greatest common divisor of 1 and o?
1
Let g be (16/32)/((-1)/(-2)). Suppose -x = -3 - g. Suppose -n + x + 16 = 0. What is the highest common factor of n and 80?
20
Let t(o) = -3*o - 1. Let l be (-14)/18 + 10/(-45). Let x be t(l). Suppose -3*a + 220 = x*a. What is the greatest common factor of a and 4?
4
Let r(q) = -9*q + 7. Let f(t) = t - 12. Suppose 0 = -4*i + 15 + 5. Let u be f(i). Let h be r(u). What is the highest common divisor of 28 and h?
14
Suppose -41 = -4*k - 9. Let w(l) = k*l + 3 - 3 - 6*l - 4. Let s be w(7). What is the greatest common divisor of s and 10?
10
Suppose 5*i - 24*m + 28*m - 590 = 0, 0 = 5*m. What is the greatest common divisor of i and 2?
2
Suppose 5*p - 5*c = 30, 0*p - c = -4*p + 18. Suppose 3*h - p = 68. Calculate the greatest common divisor of h and 24.
24
Let g(l) = 2*l - 14. Let f be 2 - 2*(-8)/2. Let o be g(f). What is the highest common divisor of o and 6?
6
Suppose 0*h = -3*h + 198. Suppose -18 = -2*v - 2*o, 3*v + 0*v - 5*o - 3 = 0. What is the highest common factor of h and v?
6
Let p = 335 + -325. Calculate the greatest common factor of p and 270.
10
Let f = 17 - 15. Suppose -4*w = k - 44, -15 = -f*w - 2*k + 13. Calculate the highest common divisor of 50 and w.
10
Suppose -3*u + 709 = 5*g, -17*u + 16*u + 4*g + 259 = 0. Calculate the highest common factor of 1 and u.
1
Let r(h) = h**2 + h + 5. Let p be r(0). Suppose -p*m + 4 = -m. Let u(a) = 9*a**2 - 3*a + 1. Let d be u(m). What is the highest common factor of 70 and d?
7
Suppose 750*n - 760*n + 140 = 0. What is the highest common divisor of n and 686?
14
Suppose -3*z + 5 = -a, 2*z - 4 = -0. Let l be (16/(-12))/(a/(-36)). What is the greatest common factor of 36 and l?
12
Suppose -a = -0 - 24. Suppose 2*o = -5*z - 2*o + 78, a = 2*z - 2*o. Calculate the highest common divisor of z and 98.
14
Let o(y) = -3*y**2 - 11*y + 103. Let u be o(-7). What is the highest common factor of 187 and u?
11
Let r(z) = z**3 - 3*z**2 - 2*z - 5. Let a be r(4). Let i(q) = 4*q**2 - 3*q**2 + 4*q + a - 8*q. Let f be i(11). What is the highest common factor of f and 10?
10
Suppose -g - 27 = -2*m + 95, -246 = -4*m + g. Let c = m + -32. Calculate the greatest common divisor of 10 and c.
10
Let t be (36 - -8) + 4/4. Calculate the highest common divisor of t and 27.
9
Suppose -j + d + 2 = 0, 3*j + d - 4 = 18. Let p(l) = -l**2 + 11*l + 7. Let h be p(7). Let a = h + j. Calculate the highest common divisor of a and 246.
41
Suppose 3*m - 155 + 35 = 0. Let s be 2/2*-4 - (-446 + 2). What is the greatest common divisor of m and s?
40
Suppose 11*f = 5*f + 12. Suppose 0 = -f*t + 3*c + 128, 0 = -4*t + 2*c + 247 + 9. What is the greatest common factor of 16 and t?
16
Suppose 2*u - 8 = 0, 0*u - 88 = -2*p + 5*u. Suppose 26 = 4*i - p. Let v be (-4)/(-1)*(-10)/(-1). Calculate the highest common divisor of i and v.
20
Let c be (3 - 4)*(-4 + 1). Suppose 3*g - 3*f = -21, 0*g - f - 21 = c*g. Let q = g + 13. What is the greatest common factor of 9 and q?
3
Suppose -2*r + 5*r + n - 39 = 0, 2*n + 6 = 0. What is the highest common divisor of r and 70?
14
Suppose -j - 1 = 0, 4*g - 6*j - 1737 = -9*j. Calculate the greatest common divisor of 87 and g.
87
Suppose -57*s + 563 = -691. Calculate the greatest common factor of s and 275.
11
Let w(c) = -c + 61. Let l be w(-7). Calculate the greatest common factor of l and 102.
34
Let u = 83 + -17. Let j = 41 - 35. Calculate the highest common factor of u and j.
6
Let z(x) = 2*x**3 - 12*x**2 + 12*x - 2. Let m be z(7). Suppose -6*d + 1204 = -2*d. Let a = d - m. Calculate the highest common divisor of a and 11.
11
Suppose -4*m - 394 = -3*x, 13*m = 5*x + 16*m - 618. Calculate the greatest common divisor of 72 and x.
18
Let m be (2 + 22/(-6))*1026/(-45). What is the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
1
What is next in -13373795, -13373789, -13373783, -13373777?
-13373771
What is the next term in -72244, -144381, -216410, -288331, -360144?
-431849
What is next in 1072511, 2144838, 3217165?
4289492
What is next in -522315, -1044755, -1567185, -2089599, -2611991, -3134355, -3656685, -4178975?
-4701219
What is the next term in 306518363, 613036727, 919555091, 1226073455, 1532591819, 1839110183?
2145628547
What is the next term in -64528, -129029, -193504, -257941, -322328, -386653, -450904?
-515069
What comes next: -1141, -1165, -1247, -1423, -1729, -2201, -2875?
-3787
What comes next: 2978190, 5956705, 8935220, 11913735?
14892250
What is the next term in -60304, -120523, -180740, -240955, -301168, -361379, -421588?
-481795
What comes next: -34158403, -34158362, -34158311, -34158244, -34158155, -34158038, -34157887?
-34157696
What is next in -3271361, -3271363, -3271365, -3271367, -3271369, -3271371?
-3271373
What comes next: -952690, -1905119, -2857546, -3809971, -4762394, -5714815?
-6667234
What comes next: 7376, 59097, 199520, 472997, 923880, 1596521?
2535272
What is the next term in 216, -152, -628, -1206, -1880, -2644?
-3492
What comes next: 39679, 39342, 38789, 38026, 37059, 35894, 34537?
32994
What is the next term in -61, -407, -1359, -3229, -6329, -10971?
-17467
What comes next: -596, 1087, 2770, 4453, 6136?
7819
What is the next term in -4021565, -4021562, -4021559, -4021556, -4021553?
-4021550
What is next in -1250036, -1250041, -1250048, -1250057, -1250068, -1250081?
-1250096
What is next in 256, 494, 736, 982, 1232, 1486?
1744
What comes next: -20848, -20724, -20378, -19702, -18588, -16928?
-14614
What is next in 404220, 404067, 403916, 403767, 403620?
403475
What is the next term in 889021, 3556111, 8001271, 14224501, 22225801, 32005171?
43562611
What comes next: 341659, 341715, 341771, 341827, 341883?
341939
What is next in 13118289, 26236577, 39354875, 52473189, 65591525, 78709889, 91828287, 104946725?
118065209
What comes next: -10004071, -10004069, -10004069, -10004071?
-10004075
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12322
What comes next: 2378, 11451, 27238, 49739, 78954?
114883
What is the next term in -22875224, -45750424, -68625624, -91500824, -114376024, -137251224?
-160126424
What is next in -21930, -22150, -22370, -22590?
-22810
What comes next: -10304, -41651, -94038, -167465?
-261932
What is next in -61996, -61770, -61544?
-61318
What is the next term in -30832, -61703, -92576, -123451?
-154328
What is the next term in 62042, 61764, 61302, 60656?
59826
What is the next term in -1210667, -2421561, -3632453, -4843343, -6054231, -7265117?
-8476001
What comes next: 424, 491, 658, 931, 1316, 1819, 2446?
3203
What is the next term in 169, 1135, 3753, 8851, 17257, 29799, 47305, 70603?
100521
What is the next term in -75589154, -151178306, -226767458?
-302356610
What is the next term in -133755407, -133755408, -133755409?
-133755410
What comes next: -196465, -200056, -203647, -207238, -210829, -214420?
-218011
What comes next: -11973622, -23947228, -35920834, -47894440, -59868046?
-71841652
What is the next term in -132083, -264190, -396295, -528398, -660499, -792598, -924695?
-1056790
What is the next term in -13132563, -13132562, -13132561, -13132560, -13132559?
-13132558
What comes next: -10427592, -20855183, -31282774, -41710365, -52137956?
-62565547
What comes next: 2104, 5443, 10036, 15883, 22984, 31339?
40948
What is next in -1559, 5177, 16403, 32119?
52325
What is the next term in 124273624, 124273574, 124273438, 124273174, 124272740?
124272094
What is next in 442, 399, 358, 319, 282, 247?
214
What is next in -16198, -64962, -146234, -260014, -406302, -585098?
-796402
What comes next: 217954, 217971, 218010, 218077, 218178, 218319, 218506, 218745?
219042
What is next in 42577, 49743, 56909, 64075, 71241?
78407
What comes next: -4464134269, -4464134268, -4464134267, -4464134266?
-4464134265
What is the next term in 716922, 716861, 716850, 716913, 717074, 717357, 717786?
718385
What is next in 266974, 268457, 269938, 271417?
272894
What is next in 10405, 40120, 89645, 158980?
248125
What is the next term in -6606, 353, 11942, 28155, 48986, 74429, 104478?
139127
What is next in -173681416, -347362831, -521044246, -694725661, -868407076?
-1042088491
What comes next: 1901256, 1901258, 1901260, 1901262?
1901264
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-42895
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283359
What is the next term in -2355, 4747, 11849, 18951, 26053?
33155
What comes next: 70659, 71944, 73229, 74514, 75799, 77084?
78369
What comes next: -10496, -20836, -31172, -41504, -51832?
-62156
What comes next: -111706, -111526, -111348, -1111
|
{
"pile_set_name": "DM Mathematics"
}
|
t the terms in 1368 - 2*o**2 - 1368.
-2*o**2
Collect the terms in 2*w + 119*w**3 + 1 - 1.
119*w**3 + 2*w
Collect the terms in 116*j**2 + 105*j**2 - 209*j**2.
12*j**2
Collect the terms in -512813 + l**2 + 512813 + 0*l**2.
l**2
Collect the terms in -2369*x**3 + 4707*x**3 - 2370*x**3.
-32*x**3
Collect the terms in 37*q**3 - 18*q**3 - 18*q**3.
q**3
Collect the terms in 4 - 7 + 3 + 336*p**2.
336*p**2
Collect the terms in 4 + 8 + 14*v - 59.
14*v - 47
Collect the terms in -34*n**2 + 20*n**2 - 4*n**2.
-18*n**2
Collect the terms in 19 - 59*k - 19 + k.
-58*k
Collect the terms in -8*i - i + 9*i - 2*i**3.
-2*i**3
Collect the terms in -7*t**3 - 60227*t + 60227*t.
-7*t**3
Collect the terms in 4 - 6*h + 4*h + 2 - 6*h.
-8*h + 6
Collect the terms in z + 25*z - z - 13*z.
12*z
Collect the terms in -24*f**3 + f - f + 24*f**3 - 12*f**3.
-12*f**3
Collect the terms in -58*b**3 - b - 2*b + 3*b.
-58*b**3
Collect the terms in 1 - 19*v - 2 + 1.
-19*v
Collect the terms in 12*g**3 - 4*g**3 + 12*g**3.
20*g**3
Collect the terms in -24*y**2 - 9 + 9.
-24*y**2
Collect the terms in 5*o - 14*o - 11*o.
-20*o
Collect the terms in m**3 - 15*m + 4*m - 3*m + 14*m.
m**3
Collect the terms in 2*z + 0*z - z.
z
Collect the terms in 9*s - 3*s + 22*s - 5*s.
23*s
Collect the terms in 6 - 6 + 2*z**2 + 0*z**2.
2*z**2
Collect the terms in 282*a**2 + 50*a - 50*a.
282*a**2
Collect the terms in -556*k + 556*k + 5*k**2.
5*k**2
Collect the terms in -37 + 19 - 3*u + 18.
-3*u
Collect the terms in 8265*q - 4125*q - 4138*q.
2*q
Collect the terms in -9*f**2 - 3*f + 5*f**2 + 5*f - 4*f**2.
-8*f**2 + 2*f
Collect the terms in -78*d**2 + 78*d**2 - 11*d**3.
-11*d**3
Collect the terms in -35 + 55860*w - 55858*w + 35.
2*w
Collect the terms in -37 + 22 + 118*w**3 + 15 - 117*w**3.
w**3
Collect the terms in 3 - 3*m**2 - 12*m**2 - 3.
-15*m**2
Collect the terms in 38*a + 40*a - 78*a - 230*a**3.
-230*a**3
Collect the terms in -91*o**2 - 88*o**2 + 180*o**2.
o**2
Collect the terms in 4*n**2 - 12*n**2 - 8*n**2.
-16*n**2
Collect the terms in 2*q - 5*q + q - 4*q.
-6*q
Collect the terms in -9*a**2 + 5*a**2 - 4*a**2 + 3*a**2.
-5*a**2
Collect the terms in -2*y**3 + 9 - 3*y**3 + 0.
-5*y**3 + 9
Collect the terms in -30*m - 33*m - 31*m + 98*m - 20*m.
-16*m
Collect the terms in -3 + 8*j + 3 + 15*j.
23*j
Collect the terms in -m - 2*m - 5*m.
-8*m
Collect the terms in -119*u**2 + 22*u**3 - 5*u**3 + 119*u**2.
17*u**3
Collect the terms in 4*j**2 + 2*j**2 + 6*j**2 - 4*j**2.
8*j**2
Collect the terms in -35*n - 35*n + 70*n - n**2.
-n**2
Collect the terms in 5*p**2 - 9*p**2 + p**3 + 4*p**2.
p**3
Collect the terms in 2741*l**2 + 4*l**3 - 2741*l**2.
4*l**3
Collect the terms in -218 + 70 + 8*f + 75 + 73.
8*f
Collect the terms in -36*m + 183*m - 36*m - 108*m.
3*m
Collect the terms in 47*o**3 + 3*o**2 - 3*o**2 - 59*o**3 + 15*o**3.
3*o**3
Collect the terms in 15*t + 0 - 1 - 1.
15*t - 2
Collect the terms in 3*m**2 + 4*m**2 - 7*m**2 + 2*m**3.
2*m**3
Collect the terms in -447 + 447 - 15*f + 4*f.
-11*f
Collect the terms in 0*g**2 - 14*g - g**2 - g**2 - 7.
-2*g**2 - 14*g - 7
Collect the terms in 6*l - 2*l + 9 + 17 - 2*l.
2*l + 26
Collect the terms in -7*s**2 + 2968*s - 2968*s.
-7*s**2
Collect the terms in 35*o**2 - 107*o**2 + 36*o**2 + 32*o**2.
-4*o**2
Collect the terms in 23*u**2 - 25*u**2 - 3 + 3.
-2*u**2
Collect the terms in -18*y**2 - 44*y**2 + 8*y**2.
-54*y**2
Collect the terms in -244 + 20*x + 244.
20*x
Collect the terms in -u + 166 - 9*u + 2*u.
-8*u + 166
Collect the terms in -59*p**3 - 57*p**3 + 106*p**3.
-10*p**3
Collect the terms in -4*v**3 - v**2 - 5*v**2 + 2*v**3.
-2*v**3 - 6*v**2
Collect the terms in -89*o + 266*o + 19*o**2 - 92*o - 85*o.
19*o**2
Collect the terms in 4*m + 13*m - 36 + 36.
17*m
Collect the terms in 21*l**2 + 3*l**3 + 2*l**3 - 21*l**2.
5*l**3
Collect the terms in -112 - 5*j + 112.
-5*j
Collect the terms in -4*q**3 + 0*q**2 - q**2 + q**2.
-4*q**3
Collect the terms in -109*j + 7*j**2 + 109*j.
7*j**2
Collect the terms in -12 - 4*z**2 + 2*z**2 + 4*z**2 - z**2.
z**2 - 12
Collect the terms in -54*c**3 + 19*c**3 - 42*c**3.
-77*c**3
Collect the terms in -64*q**2 + 66*q**2 + 161*q**2.
163*q**2
Collect the terms in -60*k**2 - 5 - 13 + 59*
|
{
"pile_set_name": "DM Mathematics"
}
|
se 8) in base 12?
-3
Convert 23 (base 4) to base 13.
b
What is -1c (base 15) in base 14?
-1d
-10010 (base 2) to base 15
-13
Convert -1 (base 5) to base 16.
-1
-4 (base 10) to base 7
-4
Convert 75 (base 8) to base 15.
41
What is -5 (base 6) in base 15?
-5
What is -3 (base 10) in base 8?
-3
Convert -152 (base 8) to base 5.
-411
17 (base 14) to base 10
21
-4 (base 9) to base 14
-4
-10001 (base 3) to base 15
-57
What is 1000101 (base 2) in base 16?
45
43 (base 12) to base 4
303
-163 (base 10) to base 5
-1123
What is 3 (base 12) in base 11?
3
-1 (base 4) to base 11
-1
What is 11 (base 7) in base 3?
22
Convert -110 (base 3) to base 9.
-13
3 (base 13) to base 16
3
0 (base 12) to base 8
0
Convert 110 (base 2) to base 7.
6
221 (base 3) to base 13
1c
Convert 22 (base 7) to base 12.
14
1 (base 2) to base 6
1
What is 4 (base 9) in base 10?
4
What is 3 (base 8) in base 16?
3
Convert 0 (base 14) to base 13.
0
What is 1 (base 5) in base 10?
1
Convert -2201 (base 3) to base 15.
-4d
What is 203 (base 4) in base 10?
35
What is -2 (base 9) in base 11?
-2
What is -84 (base 13) in base 12?
-90
-47 (base 11) to base 16
-33
Convert -8 (base 12) to base 8.
-10
5 (base 15) to base 13
5
What is 1 (base 12) in base 7?
1
-313 (base 4) to base 2
-110111
Convert 2 (base 12) to base 14.
2
What is 100212 (base 3) in base 4?
10022
Convert -7 (base 15) to base 4.
-13
What is -49 (base 16) in base 7?
-133
-3 (base 14) to base 7
-3
What is -3 (base 7) in base 4?
-3
-1 (base 5) to base 15
-1
What is 6 (base 12) in base 9?
6
6 (base 7) to base 3
20
1001100 (base 2) to base 14
56
What is -220 (base 3) in base 4?
-120
Convert -ab (base 15) to base 3.
-12222
22 (base 12) to base 6
42
12 (base 4) to base 10
6
Convert 331 (base 4) to base 3.
2021
-2 (base 14) to base 12
-2
Convert 3 (base 14) to base 15.
3
Convert 7 (base 12) to base 13.
7
What is -1 (base 16) in base 6?
-1
-59 (base 11) to base 7
-121
What is 3 (base 9) in base 16?
3
8 (base 11) to base 14
8
Convert -1 (base 8) to base 15.
-1
Convert 112 (base 3) to base 16.
e
What is 6 (base 12) in base 5?
11
What is 100 (base 3) in base 13?
9
Convert 14 (base 5) to base 8.
11
Convert -5 (base 15) to base 4.
-11
-133 (base 5) to base 6
-111
What is -1a (base 11) in base 7?
-30
What is 74 (base 9) in base 3?
2111
Convert 11 (base 4) to base 16.
5
Convert -17 (base 9) to base 7.
-22
What is -2 (base 8) in base 3?
-2
What is 3 (base 13) in base 6?
3
-56 (base 7) to base 2
-101001
Convert -22 (base 8) to base 2.
-10010
-3 (base 5) to base 14
-3
What is 4a (base 16) in base 4?
1022
What is 202 (base 3) in base 14?
16
What is -33 (base 5) in base 9?
-20
Convert 255 (base 11) to base 16.
12e
Convert 1 (base 15) to base 14.
1
101001 (base 2) to base 16
29
-3 (base 12) to base 4
-3
-121 (base 6) to base 11
-45
What is -10 (base 5) in base 2?
-101
-11100001 (base 2) to base 7
-441
-104 (base 5) to base 13
-23
What is -10010 (base 2) in base 10?
-18
21 (base 14) to base 16
1d
What is -171 (base 9) in base 11?
-122
-1 (base 15) to base 9
-1
Convert -41 (base 8) to base 7.
-45
What is c8 (base 14) in base 10?
176
Convert aa (base 14) to base 11.
127
What is 5 (base 13) in base 14?
5
-1 (base 4) to base 2
-1
What is 1a3 (base 11) in base 3?
22200
What is 1 (base 13) in base 6?
1
212 (base 3) to base 8
27
What is -7 (base 13) in base 8?
-7
0 (base 9) to base 4
0
53 (base 6) to base 5
113
9 (base 13) to base 11
9
Convert -3a (base 15) to base 13.
-43
What is 223 (base 7) in base 12?
97
Convert -2 (base 3) to base 2.
-10
7 (base 16) to base 10
7
-10 (base 12) to base 9
-13
Convert -11 (base 2) to base 11.
-3
Convert 3 (base 12) to base 3.
10
-101 (base 3) to base 14
-a
-10 (base 11) to base 12
-b
What is -4 (base 13) in base 4?
-10
What is 16 (base 16) in base 14?
18
33 (base 8) to base 13
21
-19 (base 16) to base 13
-1c
-18 (base 10) to base 6
-30
What is 1 (base 5) in base 12?
1
-65 (base 15) to base 2
-1011111
11000100 (base 2) to base 13
121
33 (base 15) to base 13
39
91 (base 16) to base 7
265
1010000 (base 2) to base 15
55
Convert 3 (base 8) to base 12.
3
Convert 520 (base 8) to base 5.
2321
Convert 1b (base 12) to base 10.
23
What is 47 (base 12) in base 16?
37
What is -13 (base 6) in base 2?
-1001
6 (base 13) to base 12
6
Convert 1121 (base 3) to base 8.
53
Convert 44 (base 7) to base 2.
100000
Convert -423 (base 6) to base 15.
-a9
Convert 29 (base 10) to base 13.
23
Convert 0 (base 7) to base 16.
0
What is -41 (base 5) in base 6?
-33
Convert 31 (base 7) to base 9.
24
10 (base 4) to base 10
4
-20101 (base 3) to base 2
-10101100
37 (base 13) to base 7
64
What is 0 (base 7) in base 12?
0
Convert -22 (base 3) to base 15.
-8
What is -4 (base 12) in base 15?
-4
27 (base 15) to base 8
45
Convert 10 (base 3) to base 14.
3
Convert 1110110 (base 2) to base 9.
141
-23 (base 14) to base 7
-43
What is -10c (base 14) in base 3?
-21201
What is -7 (base 16) in base 4?
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of -97/74 and z.
740
Let s(m) = m**3 - 24*m**2 + 24*m + 17. Let z = 646 - 623. Calculate the lowest common multiple of s(z) and 15.
120
Let t = 3703/705 - 28/235. Calculate the common denominator of t and 37/726.
3630
Let z be -11 - -3 - 6018/(-152). Let n = -244/19 + z. What is the common denominator of (-4)/(-6)*(-426)/(-8) and n?
4
Let l be (-334)/6 - 10/15. Let s = l - -122/3. Find the common denominator of -41/4 and s.
12
Suppose -20 = -2*a - 4*g, -4 - 30 = -3*a - 2*g. Calculate the smallest common multiple of 258 and a/(-15) - (-832)/65.
516
Suppose n + 8 = 3*w, -2*w + 6*w - 2*n - 8 = 0. Calculate the common denominator of 89/26 and w/1 - ((-124)/(-40) - -2).
130
Let n(m) = 4*m. Suppose -1139*f = 1254388 - 3575670. What is the least common multiple of f and n(2)?
8152
Suppose -3*p + 390 = 2*p. Suppose 0 = 17*v - 2646 + 623. Let r = p - v. What is the common denominator of -13/17 and r?
17
Suppose 0 = 120*f - 121*f + 5. Suppose -6*m + m = -25. Suppose m*j + f*p = 50, -6*j + j = 3*p - 50. What is the lowest common multiple of j and 16?
80
Let n(v) = -v**3 + 9*v**2 - 11*v - 3. Let h be n(8). Let m = 32 + h. Suppose 8*s - 4*s = 3*b - 56, 90 = m*b - 5*s. What is the least common multiple of 1 and b?
16
Let s(l) = -l**2 + 5*l + 2. Suppose -27*z + 512 + 1254 + 718 = 0. Calculate the least common multiple of s(5) and z.
92
Let c = -23 - 88. Let z = 117 + c. Calculate the least common multiple of 22 and z.
66
Let n be (5/10*2)/((-1)/(-4)). Suppose -n*w + w = 60. Find the common denominator of 63/5 and ((-206)/w)/(2/(-2)).
10
Let d = 544420325/18 + -30253521. Let o = d - -7952. What is the common denominator of 139/6 and o?
18
Suppose -b = -g + 393, 73*g + 5*b - 807 = 71*g. What is the lowest common multiple of g and 153?
6732
Let p(t) = 3*t**3 - t**2 - 3*t - 7. Let k be p(4). Suppose k*i - 189 = 150*i. What is the least common multiple of (-184)/(-10) + (-2)/5 and i?
54
Let a = 54311/12 - 4522. Calculate the common denominator of a and (125/(-40))/(21 - 164/8).
12
Suppose -843*i + 299*i + 1752632 + 110024 = 0. What is the smallest common multiple of i and 856?
3424
What is the common denominator of (-3246)/(-630) + (-4)/14 and 54/1053 - ((-4772)/(-150))/(5460/75)?
210
What is the common denominator of 145/384 and (-9225)/190080*-22 + 1 + 10/(-6)?
384
Suppose 5*d - 2*c = d + 50, 2*c = -2*d + 10. Calculate the smallest common multiple of 814 and d.
4070
Suppose -4*m + 5*b + 2700 = -741, 0 = -4*m - 2*b + 3462. What is the lowest common multiple of m and 360?
4320
Let c(o) = 15*o - 97. Let p = -101 + 108. Calculate the lowest common multiple of c(p) and 56.
56
Suppose 13 = z + 7. Let h(m) = -18*m + 36. Let u be h(2). Suppose 4*j - 3*j - 14 = u. What is the smallest common multiple of z and j?
42
Find the common denominator of -51/256 and (-5817903)/(-19004160) + 1/(-35)*-2.
256
Calculate the common denominator of (-8)/12*(42527/(-138))/(-43) and 36/3425.
30825
Let c be 0/(((-9)/6)/((-9)/12)). Suppose -3*a + 229 + 584 = c. What is the lowest common multiple of a and 2?
542
What is the common denominator of ((-69)/(-345))/(4/(-230)) and 1/(-3)*(-606)/20?
10
Let v = -113 + 118. Suppose -68 = -5*d + 4*h, -4*d - d = v*h - 50. Calculate the common denominator of -81/10 and 51/d*(3/(-8))/1.
160
Let g = -7 + 27. Let d(n) = -n**3 + 5*n**2 + 7*n - 4. Let w be d(6). Suppose -14 = -w*l + 6. What is the lowest common multiple of g and l?
20
Suppose -5*q + 61 = 3*z, -17 = -z - q - 0*q. Calculate the smallest common multiple of (-17 + -3)/((-8)/z) and 66.
330
Let v = 137693 + -218105695/1584. What is the common denominator of v and 109/1232?
11088
Suppose 3*d + j - 143 = 0, 4*j - 102 = -2*d + 2*j. Calculate the least common multiple of 20 and d.
460
Suppose 2*m = -3*f + m + 11, -4*f - 4*m = -20. Suppose -h + f*h = -w - 4, 0 = 4*h + w + 8. What is the smallest common multiple of 2/((-1)/h*4) and 53?
53
Suppose -170*f + 2 = -169*f. Let s = 17235/44 - 1585/4. Calculate the common denominator of ((-2 - f) + 2)*101/24 and s.
132
Calculate the common denominator of ((-137)/(-36) + -2 + -2)/(230/380) and -101/322.
2898
Let p(d) = 4*d**3 + d**2 + 4*d - 3. Let k be p(1). Let r = k + 98. Calculate the lowest common multiple of r and 4.
104
Let n = -12028 + 18338. Let i = 88261/14 - n. Let o = -184661/20 + 18465/2. Calculate the common denominator of i and o.
140
Let r(n) = 23*n - 46. Let m be r(2). Suppose 5*x + 9*x - 784 = m. Calculate the least common multiple of x and 28.
56
Let z = 468 - 461. Suppose -2*c = l - 37, -c = -8 + z. Calculate the smallest common multiple of l and 150.
1050
Let w(h) = 4*h + 21. Let m be w(5). Suppose -2*z + p = -m, 0*z + 44 = 2*z + 2*p. Suppose -z = -3*a + 21. Calculate the lowest common multiple of 2 and a.
14
Let h be (-30)/15 + (-7753)/11. Let i = h - -708. Calculate the common denominator of i and 43/88.
88
Suppose 2*d - 6 = 5*p, 4*p - 6 + 18 = 4*d. Suppose -2*k - 3*i + 130 = -45, i - 5 = p. What is the lowest common multiple of 60 and k?
240
Let v = 323891033/4408 + -73478. Calculate the common denominator of -49/2 and v.
4408
Let k = 30847/36 - 1713/2. What is the common denominator of ((-1)/(-15))/(-5 + 6555/1325) and k?
252
Suppose -54 = 3*m - 6*m. Suppose -25*x + 3383 = 3058. What is the lowest common multiple of x and m?
234
Let r = 96 - 32. Let b = 70 - r. What is the least common multiple of 15 and
|
{
"pile_set_name": "DM Mathematics"
}
|
what is 25 + -3111?
-3075
In base 11, what is 12a3 - -a0?
1393
In base 14, what is -a9c + -21?
-abd
In base 5, what is 112 + 23103?
23220
In base 3, what is -201012 + -100?
-201112
In base 5, what is -30 - -2041042?
2041012
In base 3, what is -1011110000221 + -1?
-1011110000222
In base 13, what is 7cba + -329?
7991
In base 9, what is -2188 + 138?
-2050
In base 13, what is 302b - 4?
3027
In base 14, what is -c + -1c2a?
-1c38
In base 6, what is 142 - -41253?
41435
In base 10, what is 421689 - -3?
421692
In base 11, what is 7 - 35460?
-35454
In base 15, what is -17bad - 3?
-17bb1
In base 3, what is 2 + 110212210222?
110212211001
In base 7, what is 56 + -532?
-443
In base 14, what is 68946c - -4?
689472
In base 10, what is 5 + -27528?
-27523
In base 16, what is 14 + -c4a?
-c36
In base 11, what is a951 + -2?
a94a
In base 7, what is 26231 + 14?
26245
In base 3, what is -101122001201 + -2?
-101122001210
In base 9, what is 202508 - 3?
202505
In base 8, what is -107 - -13633?
13524
In base 5, what is 20121 - -134?
20310
In base 8, what is -244 - 10033?
-10277
In base 15, what is -312b - -27?
-3104
In base 3, what is -1222 + -121101010?
-121110002
In base 11, what is 4 + -69341?
-69338
In base 2, what is 10 - -1111110010101111?
1111110010110001
In base 16, what is 0 + f9e3?
f9e3
In base 2, what is -10000111011 + 10101?
-10000100110
In base 16, what is 9 + 41887?
41890
In base 6, what is -2435002 + -2?
-2435004
In base 13, what is 5 - 4ba1b?
-4ba16
In base 11, what is 9 - 11271?
-11263
In base 13, what is -115 + -20b?
-323
In base 5, what is -300 + 10111?
4311
In base 10, what is 4961 + 2?
4963
In base 10, what is 126 + 12544?
12670
In base 2, what is 100 + -101000111011000011011?
-101000111011000010111
In base 14, what is -2 + -1785?
-1787
In base 7, what is -4464043 + 0?
-4464043
In base 3, what is 102100211 + 2?
102100220
In base 14, what is 8 - -238c3?
238cb
In base 14, what is -57b3 + 2?
-57b1
In base 5, what is -40421 - 2432?
-43403
In base 10, what is -511 - -20?
-491
In base 9, what is -330 + 27857?
27527
In base 13, what is -36853 - -5?
-3684b
In base 8, what is 4 - -434355?
434361
In base 6, what is -1324213 + 0?
-1324213
In base 8, what is -605 + 61?
-524
In base 14, what is 0 + 456a?
456a
In base 16, what is -49 + -dda?
-e23
In base 9, what is 0 - -101373?
101373
In base 5, what is 4044 + 303?
4402
In base 16, what is 1f811 + -1?
1f810
In base 5, what is -21 + 241403?
241332
In base 8, what is 1 + 3001313?
3001314
In base 13, what is 3ba + 130?
51a
In base 5, what is -4040202 + 3?
-4040144
In base 13, what is -13497 - -44?
-13453
In base 14, what is -1d37 - -5?
-1d32
In base 11, what is 6 - 30675?
-3066a
In base 10, what is 53 - -365?
418
In base 15, what is 9d0 - -6?
9d6
In base 14, what is 5c + -715?
-697
In base 13, what is -4a + 124?
a7
In base 6, what is -255334 + -35?
-255413
In base 13, what is 5 + -21016c?
-210167
In base 8, what is 141062 - -4?
141066
In base 4, what is 10 + -1223112?
-1223102
In base 4, what is 33303 - -320?
100223
In base 7, what is -126564 + 23?
-126541
In base 3, what is -1110201211 + 2?
-1110201202
In base 3, what is 10002 + -121221?
-111212
In base 8, what is -303 - 7734?
-10237
In base 9, what is 61 + 1662?
1733
In base 16, what is 4 + -1c1e?
-1c1a
In base 8, what is 106 - -652?
760
In base 4, what is 3 + -1022113?
-1022110
In base 10, what is -176 + -112?
-288
In base 4, what is -3211133 + -1?
-3211200
In base 8, what is 3 - 17135?
-17132
In base 3, what is 11 + -1110001212001?
-1110001211220
In base 14, what is -d + -3b99a?
-3b9a9
In base 13, what is 1 - 194a?
-1949
In base 9, what is 78054 - -7?
78062
In base 9, what is 4020 - -13?
4033
In base 10, what is 47529 + -4?
47525
In base 16, what is -34 + -51f?
-553
In base 5, what is -40231 - 41?
-40322
In base 11, what is 360912 + 5?
360917
In base 6, what is -4 + -513011?
-513015
In base 4, what is 101113 - 2233?
32220
In base 13, what is -9 - -4379?
4370
In base 6, what is -1 + 545343?
545342
In base 2, what is -1110 + -100001001000010010?
-100001001000100000
In base 9, what is 162541 - 2?
162538
In base 8, what is -2 - 6452?
-6454
In base 16, what is -82e1 - -3?
-82de
In base 10, what is 302 + 2569?
2871
In base 2, what is -1010001000000011 + 1000011?
-1010000111000000
In base 4, what is 2331101 - -23?
2331130
In base 3, what is 200210211210 - 12?
200210211121
In base 14, what is b - -a90?
a9b
In base 13, what is -15 - 146b?
-1483
In base 3, what is -11 - -220011?
220000
In base 10, what is -27 + 78?
51
In base 6, what is 4 - -2250?
2254
In base 9, what is 0 + -122811?
-122811
In base 10, what is 16054 - 48?
16006
In base 7, what is 346066 + 11?
346110
In base 14, what is -3 + -1ad7d
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of picking 2 t and 1 g.
1/15
Two letters picked without replacement from {b: 16, t: 2}. What is prob of picking 1 b and 1 t?
32/153
Four letters picked without replacement from {p: 6, q: 13}. What is prob of picking 1 q and 3 p?
65/969
Three letters picked without replacement from {r: 7, l: 1, w: 2, v: 3, s: 4}. Give prob of picking 1 r, 1 l, and 1 s.
7/170
What is prob of picking 1 o and 3 l when four letters picked without replacement from {l: 9, o: 9}?
21/85
Calculate prob of picking 1 g, 1 f, and 1 x when three letters picked without replacement from {f: 5, y: 1, x: 3, g: 6}.
18/91
What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 2, r: 1, t: 2, a: 1}?
4/15
Four letters picked without replacement from zaykzkjkkazyyzyzyyzz. What is prob of picking 1 k, 1 z, 1 j, and 1 y?
56/1615
Three letters picked without replacement from qrrqquuugqrfuuqqgf. Give prob of picking 1 q and 2 g.
1/136
Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 5, q: 1, w: 1, s: 5, o: 3}.
1/21
Two letters picked without replacement from bbllw. Give prob of picking 1 l and 1 b.
2/5
Three letters picked without replacement from azzzazzzaaaazaaazza. Give prob of picking 2 z and 1 a.
120/323
Calculate prob of picking 4 k when four letters picked without replacement from kuskkukku.
5/126
Two letters picked without replacement from rnrrrrrr. Give prob of picking 1 n and 1 r.
1/4
Two letters picked without replacement from {u: 5, x: 2, b: 3, v: 7}. Give prob of picking 1 b and 1 v.
21/136
Two letters picked without replacement from {m: 3, v: 5, d: 2, c: 3, s: 3}. What is prob of picking 1 s and 1 v?
1/8
Three letters picked without replacement from {z: 12, o: 3}. What is prob of picking 3 o?
1/455
Calculate prob of picking 1 o and 3 y when four letters picked without replacement from {k: 6, e: 6, y: 5, o: 1}.
1/306
Calculate prob of picking 2 r when two letters picked without replacement from {s: 3, r: 3, k: 2, u: 9, p: 1, h: 2}.
3/190
Three letters picked without replacement from dmwmmmmdmm. What is prob of picking 2 d and 1 w?
1/120
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {o: 2, t: 1, d: 5, u: 1, v: 2, z: 4}.
1/105
Three letters picked without replacement from {l: 5, o: 3, y: 1}. What is prob of picking 2 l and 1 o?
5/14
What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 3, b: 1, l: 6, i: 2}?
1/495
Four letters picked without replacement from vqvvqv. Give prob of picking 2 v and 2 q.
2/5
Four letters picked without replacement from {x: 4, w: 6, c: 4}. What is prob of picking 1 w, 1 c, and 2 x?
144/1001
What is prob of picking 1 l and 2 m when three letters picked without replacement from {l: 1, m: 9, v: 1, y: 2, z: 1, q: 6}?
3/95
What is prob of picking 1 y and 1 t when two letters picked without replacement from rrllvvyylrtyz?
1/26
Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, z: 9, n: 7}.
1/153
Calculate prob of picking 1 d and 1 m when two letters picked without replacement from ndzmq.
1/10
Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {j: 3, p: 2, k: 5, l: 3, v: 2}.
2/273
Four letters picked without replacement from dddrdfffmwffwff. What is prob of picking 1 f and 3 d?
4/195
Two letters picked without replacement from jujqisn. Give prob of picking 1 s and 1 n.
1/21
Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {p: 3, o: 3, k: 3, n: 3}.
1/55
Three letters picked without replacement from {e: 1, m: 1, i: 1, j: 2, y: 2, f: 1}. What is prob of picking 1 m, 1 i, and 1 e?
1/56
Three letters picked without replacement from {b: 5, p: 2}. Give prob of picking 1 b and 2 p.
1/7
Two letters picked without replacement from {t: 17, b: 2}. Give prob of picking 2 t.
136/171
Four letters picked without replacement from {q: 2, b: 10}. Give prob of picking 2 b and 2 q.
1/11
Four letters picked without replacement from xfppeedttfpxfet. What is prob of picking 1 x and 3 e?
2/1365
Four letters picked without replacement from xxxhxxhxx. What is prob of picking 4 x?
5/18
What is prob of picking 1 x and 1 j when two letters picked without replacement from {y: 2, j: 7, k: 3, x: 5}?
35/136
Calculate prob of picking 1 m, 1 v, and 2 c when four letters picked without replacement from cmmmvmvcm.
5/63
Two letters picked without replacement from {b: 1, n: 1, a: 2, u: 1}. Give prob of picking 1 a and 1 n.
1/5
Calculate prob of picking 2 w when two letters picked without replacement from sgww.
1/6
What is prob of picking 2 y when two letters picked without replacement from {y: 2, q: 1, v: 1, r: 4, g: 2}?
1/45
Calculate prob of picking 1 m and 2 y when three letters picked without replacement from mmyy.
1/2
Two letters picked without replacement from {c: 1, g: 4, d: 3}. Give prob of picking 2 g.
3/14
Two letters picked without replacement from cuuc. What is prob of picking 2 c?
1/6
Calculate prob of picking 1 w, 1 g, 1 u, and 1 b when four letters picked without replacement from {b: 2, i: 1, u: 4, w: 4, g: 3}.
96/1001
What is prob of picking 1 t and 1 b when two letters picked without replacement from {o: 1, t: 7, b: 1}?
7/36
Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {p: 1, k: 2, m: 1, r: 4, f: 2}.
1/120
Calculate prob of picking 2 j when two letters picked without replacement from yjrjk.
1/10
Three letters picked without replacement from {w: 14, n: 1}. What is prob of picking 3 w?
4/5
What is prob of picking 1 t, 1 s, and 1 g when three letters picked without replacement from {s: 2, g: 1, t: 2, q: 1, i: 2, k: 1}?
1/21
What is prob of picking 4 s when four letters picked without replacement from {x: 7, s: 12}?
165/1292
Two letters picked without replacement from {l: 2, g: 10, c: 1, v: 3, f: 1}. What is prob of picking 1 v and 1 f?
3/136
Three letters picked without replacement from {u: 6, r: 2}. Give prob of picking 1 r and 2 u.
15/28
Two letters picked without replacement from {t: 1, q: 1, w: 1, k: 2, h: 1, z: 1}. What is prob of picking 2 k?
1/21
Two letters picked without replacement from gysyyyysyygygygvgsg. What is prob of picking 1 v and 1 y?
1/19
What is prob of picking 2 a when two letters picked without replacement from {r: 3, a: 3, j: 1}?
1/7
Four letters picked without replacement from lilllllljlllllllj. What is prob of picking 1 i and 3 l?
|
{
"pile_set_name": "DM Mathematics"
}
|
termine a so that -2/5*a**3 - 1/5*a**2 + x + 2/5*a = 0.
-1, -1/2, 1
Let t(y) = -y**3 + 4*y**2 + 4*y + 7. Let r be t(5). Suppose r*o - 2 = m, -3*o - 3*m - m = -14. Factor -2*n**2 - o*n + 2*n**4 + 2*n**3 + n**2 - n**2.
2*n*(n - 1)*(n + 1)**2
Let d(l) be the second derivative of 0 + 1/21*l**7 - 1/3*l**4 + 2*l - 1/5*l**5 + 1/15*l**6 + l**2 + 1/3*l**3. Suppose d(q) = 0. Calculate q.
-1, 1
Let d(h) be the third derivative of -h**7/105 - h**6/30 - h**5/30 + 3*h**2. Let d(m) = 0. Calculate m.
-1, 0
Let r(a) be the third derivative of -a**8/60480 - a**7/5040 - a**6/1080 - a**5/60 + 3*a**2. Let t(v) be the third derivative of r(v). Factor t(b).
-(b + 1)*(b + 2)/3
Let h(a) be the third derivative of 0*a**5 + 0*a**3 + 0 - 7*a**2 - 1/180*a**6 + 1/36*a**4 + 0*a. What is o in h(o) = 0?
-1, 0, 1
Let w = 32 + -28. Factor -16*f**4 - w*f**2 + 32/5*f**5 + 66/5*f**3 + 0 + 2/5*f.
2*f*(f - 1)**2*(4*f - 1)**2/5
Let h = 70 - 130. Let f be h/36*(-4)/10. Suppose 0 - 2/3*a**5 - 2*a**3 + 0*a + 2*a**4 + f*a**2 = 0. What is a?
0, 1
Let i(a) be the second derivative of a**4/4 + 5*a**3/2 + 9*a**2 - 14*a. Factor i(l).
3*(l + 2)*(l + 3)
Factor 3/5 - 4/5*z**3 + 8/5*z**2 + 11/5*z.
-(z - 3)*(2*z + 1)**2/5
Suppose -3*x + 0*x - 16 = -2*n, 4*n = -5*x - 12. Suppose 0 = -5*v - 3*r - 2 - 0, -v + n*r + 10 = 0. Determine b so that 1/2*b**v + 0*b - 1/2 = 0.
-1, 1
Let x = 2 + 0. Let q be x/11 + 58/44. Factor -q*o**5 + 0*o + 4*o**4 + 0 - 7/2*o**3 + o**2.
-o**2*(o - 1)**2*(3*o - 2)/2
Let v = -1 + 9. Let z = v - 6. Factor z*l + 1 + l**4 - 4*l**4 - 2*l**3 + 2*l**4.
-(l - 1)*(l + 1)**3
Let y be (-1 - (-14)/8)*4/6. Let 1/2*p + 1/2*p**4 - y*p**3 - 3/2*p**2 + 1 = 0. Calculate p.
-1, 1, 2
Let l(g) = -g**3 - 6*g**2 + 7*g + 5. Let a be l(-7). Let s(j) be the first derivative of 1/15*j**a + 3 + 0*j - 1/4*j**4 - 1/6*j**2 + 1/3*j**3. Factor s(n).
n*(n - 1)**3/3
Let r(i) be the third derivative of i**8/47040 + i**7/3920 + i**6/840 + 2*i**5/15 - 4*i**2. Let z(w) be the third derivative of r(w). Find d such that z(d) = 0.
-2, -1
Let w be (-6)/(-10) - 14/(-35). Let i be (-13 - -7)*w/(-21). Factor i*u**4 + 0*u**3 - 2/7*u**2 + 0 + 0*u.
2*u**2*(u - 1)*(u + 1)/7
Let u(g) be the third derivative of g**7/35 + g**6/30 - 2*g**5/15 - g**4/6 + g**3/3 + g**2. Factor u(l).
2*(l - 1)*(l + 1)**2*(3*l - 1)
Let m(i) be the first derivative of -4*i**3/3 + 4*i - 3. Factor m(n).
-4*(n - 1)*(n + 1)
Let q(f) be the first derivative of f**8/6720 + f**7/840 + f**6/240 + f**5/120 + f**4/96 - 2*f**3/3 - 3. Let z(l) be the third derivative of q(l). Factor z(a).
(a + 1)**4/4
Let t = -26 - -28. Let 9*q + 0*q**3 + 234*q**t - 6 - 234*q**2 - 3*q**3 = 0. Calculate q.
-2, 1
Let d(f) be the first derivative of 1/4*f + 1/16*f**4 + 2 - 1/12*f**3 - 1/8*f**2. Find a, given that d(a) = 0.
-1, 1
Let f(t) be the second derivative of -t**7/3780 - t**6/540 - t**5/180 + t**4/3 - 4*t. Let r(m) be the third derivative of f(m). Find h, given that r(h) = 0.
-1
Let i(y) be the second derivative of -y**7/28 - y**6/20 + 3*y**5/20 - 7*y. Suppose i(k) = 0. Calculate k.
-2, 0, 1
Let o be 1/(0 - 4/(-20)). Suppose 5*f = -o*g + 10, g - 5*f - 2 = -0*g. Determine r so that -2/11 + 4/11*r + 0*r**g - 4/11*r**3 + 2/11*r**4 = 0.
-1, 1
Suppose 0 = -8*b + 4*b + 20. Suppose 0 = -3*i + b*i. Let 2/7*n**2 - 2/7 + i*n = 0. What is n?
-1, 1
Let w = -2 - -14. Factor -6*a**3 - w*a + a**4 + 1 - 2*a**2 + 3 + 15*a**2.
(a - 2)**2*(a - 1)**2
Factor -2/7*z**2 - 2/7 + 4/7*z.
-2*(z - 1)**2/7
Let w(r) be the third derivative of 0*r**3 + 1/72*r**4 - 1/360*r**6 + 0 + 0*r + 1/630*r**7 + 4*r**2 - 1/180*r**5. Factor w(b).
b*(b - 1)**2*(b + 1)/3
Let o be (-3)/12 + (-105)/(-196). Solve 2/7 + o*y**2 - 4/7*y = 0.
1
Let i(v) be the first derivative of -1/30*v**5 + 1/12*v**2 - 1/18*v**3 - 7/72*v**4 + 4*v - 1. Let x(q) be the first derivative of i(q). Factor x(n).
-(n + 1)**2*(4*n - 1)/6
Let r(g) be the first derivative of -g**3/3 - 3*g**2/2 + 4*g + 48. Let r(t) = 0. Calculate t.
-4, 1
Let m(
|
{
"pile_set_name": "DM Mathematics"
}
|
-830, 1, 13
Suppose 2*s**2/19 - 8306*s/19 + 24900/19 = 0. Calculate s.
3, 4150
Factor -n**2/6 - 6283*n/6.
-n*(n + 6283)/6
Suppose -z**4/6 - 1681*z**3/3 - 2805517*z**2/6 + 5671694*z - 17075814 = 0. What is z?
-1687, 6
Factor -l**2/3 - 106*l/3 + 4247/3.
-(l - 31)*(l + 137)/3
Determine k, given that -2*k**2/3 + 348*k - 8224/3 = 0.
8, 514
Determine z, given that -2*z**2 + 564276*z - 564274 = 0.
1, 282137
Suppose -3*q**3 + 225*q**2 + 1188*q + 960 = 0. Calculate q.
-4, -1, 80
Solve -2*m**5/5 - 174*m**4/5 - 166*m**3/5 + 526*m**2/5 + 864*m/5 + 344/5 = 0 for m.
-86, -1, 2
Determine h so that 2*h**5/9 + 14336*h**4/9 + 28666*h**3/9 + 14332*h**2/9 = 0.
-7166, -1, 0
Factor -v**3/3 - 506*v**2/3 + 12745*v/3 + 13250/3.
-(v - 25)*(v + 1)*(v + 530)/3
What is d in -2*d**4/21 + 764*d**3/21 - 430*d**2/3 - 5312*d/21 + 360 = 0?
-2, 1, 5, 378
Solve 5*o**4 + 5*o**3 - 8250*o**2 - 34720*o + 2532320 = 0 for o.
-28, 17, 38
Solve 16*n**3 - 228*n**2 + 440*n - 96 = 0 for n.
1/4, 2, 12
Let 2*v**5 - 62*v**4 + 172*v**3 - 112*v**2 = 0. What is v?
0, 1, 2, 28
Find j such that j**2/9 - 138486*j + 43151337441 = 0.
623187
Factor -5*j**3/4 + 276*j**2 - 4135*j/4 + 651.
-(j - 217)*(j - 3)*(5*j - 4)/4
Factor -4*q**2 + 53544*q - 179184996.
-4*(q - 6693)**2
Solve -o**5 + 598*o**4 - 119911*o**3 + 8187102*o**2 - 21993444*o - 597704184 = 0 for o.
-7, 11, 198
Factor 3*g**3 - 786*g**2 + 16761*g - 64530.
3*(g - 239)*(g - 18)*(g - 5)
Factor 3*i**3 + 609*i**2 + 16248*i + 43344.
3*(i + 3)*(i + 28)*(i + 172)
Find p, given that -p**2/2 - 60671*p - 3680970241/2 = 0.
-60671
Determine v so that -v**3/2 - 3921*v**2/2 + 11777*v - 15708 = 0.
-3927, 2, 4
Let 2*y**5 - 10*y**4 - 1542*y**3 + 12106*y**2 - 10556*y = 0. What is y?
-29, 0, 1, 7, 26
Suppose -4*t**5 - 348*t**4 - 5724*t**3 + 29788*t**2 + 15024*t - 129456 = 0. What is t?
-62, -29, -2, 3
Solve 4*y**3/5 - 28224*y**2/5 + 28212*y/5 + 11288 = 0.
-1, 2, 7055
Suppose -4*y**2 - 68396*y - 820176 = 0. Calculate y.
-17087, -12
Factor d**2/3 - 29453*d/3 - 235688/3.
(d - 29461)*(d + 8)/3
Find b, given that 2*b**4 - 248*b**3 + 1922*b**2 + 39972*b + 95760 = 0.
-7, -3, 20, 114
Factor -4*p**3 + 992*p**2 - 980*p - 1976.
-4*(p - 247)*(p - 2)*(p + 1)
Solve 25*g**3 - 576990*g**2 + 3329059200*g + 1331716000 = 0 for g.
-2/5, 11540
Let -5*q**5/4 - 277*q**4 + 44319*q**3/4 + 36755*q**2/2 + 2414*q - 4608 = 0. What is q?
-256, -1, 2/5, 36
Determine w so that 63*w**4 - 11094*w**3 - 44052*w**2 - 41064*w + 4320 = 0.
-2, 2/21, 180
Solve 4*v**5 + 52*v**4 - 516*v**3 + 860*v**2 - 400*v = 0 for v.
-20, 0, 1, 5
Let -c**5 - 22*c**4 + 115*c**3 + 256*c**2 - 780*c = 0. What is c?
-26, -3, 0, 2, 5
Factor 2*u**2 + 178*u.
2*u*(u + 89)
Factor -5*d**2 - 139755*d - 139750.
-5*(d + 1)*(d + 27950)
Find v such that 4*v**3 + 28*v**2 - 2068*v + 14036 = 0.
-29, 11
Determine c so that -2*c**3/11 + 170*c**2/11 - 4814*c/11 + 45414/11 = 0.
27, 29
Solve h**2/5 - 245754*h + 75493785645 = 0 for h.
614385
Factor r**4/2 + 27*r**3 - 171*r**2/2 - 13718*r + 41154.
(r - 19)*(r - 3)*(r + 38)**2/2
Factor 2*g**2 - 774*g - 776.
2*(g - 388)*(g + 1)
Determine d, given that 3*d**5 + 150*d**4 - 1737*d**3 + 3900*d**2 + 6900*d - 18000 = 0.
-60, -2, 2, 5
Factor y**2/4 + 3775*y/2 + 14250625/4.
(y + 3775)**2/4
Suppose 2*b**5 - 112*b**4 + 160*b**3 + 2932*b**2 + 4926*b + 2268 = 0. What is b?
-3, -1, 7, 54
What is d in -3*d**3/4 + 69*d**2/2 + 696*d + 2976 = 0?
-8, 62
Factor -2*c**2/9 + 939380*c/9 - 110304348050/9.
-2*(c - 234845)**2/9
Let -f**5/8 - 25*f**4/8 - 25*f**3 - 70*f**2 - 48*f = 0. Calculate f.
-12, -8, -4, -1, 0
Factor 3*t**4/4 - 6*t**3 + 9*t**2.
3*t**2*(t - 6)*(t - 2)/4
Factor -3*r**2/8 + 12339*r/8 + 61845/4.
-3*(r - 4123)*(r + 10)/8
Factor -y**4/7 + 704*y**3 - 5214894*y**2/7 - 301453504*y - 183356096401/7.
-(y - 2627)**2*(y + 163)**2/7
Factor 2*p**3 - 1080*p**2 - 5438*p - 6540.
2*(p - 545)*(p + 2)*(p + 3)
Suppose 2*m**4/13 - 630*m**
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Evaluate (11/((-2178)/24))/(250/3750).
-20/11
(218/(-1090))/(4/(-12))
3/5
Evaluate (-205)/(-41)*10/(-7)*(-28)/(-4).
-50
(((-928)/15)/4*504/(-336))/((-72)/180)
-58
What is ((-33)/33)/(((-7)/(-329))/1)?
-47
What is (3240/(-2835))/((-9)/(-7))?
-8/9
What is (((-10)/12)/(6*36/(-1080)))/(9/108)?
50
(20/(-6)*590/75)/(54714/246213)
-118
4*((-3939)/1212*(-20)/(-26))/((-8)/20)
25
Evaluate ((-455)/55)/((-2399)/26389).
91
What is the value of (30/5)/(51*9/187)?
22/9
Evaluate (66/(-4))/(((-5652)/(-3454))/(16/22)).
-22/3
2/(-40)*-16*72/(-16)
-18/5
Evaluate (17/((-285362)/231))/(39/26).
-1/109
Evaluate ((-6)/(-126)*-24)/((-1032)/14).
2/129
Evaluate 69/(-16100)*7*12/((-6)/2).
3/25
(16/28)/(((-6900)/42)/23)*-10
4/5
What is 15/9*146/189800*156?
1/5
What is the value of 4/3*((-24360)/3248)/(5/(-12))?
24
What is the value of (4*20/(-56))/(67*126/561393)?
-95
Calculate ((2/36*3)/(6/24))/(529/98394).
124
What is ((-2)/(-66))/((-52920)/48510)?
-1/36
What is (-72*(-40)/(-128))/((-2)/((-32)/12))?
-30
What is (319/87)/((-7)/(336/(-352)))?
1/2
What is ((-3656)/(-306190))/((-6)/15)?
-2/67
Calculate (65250/84825)/((-16)/13).
-5/8
(134946/(-43659))/(((-4)/3)/((-110)/(-135)))
17/9
What is 5031/(-78)*222/333?
-43
((-1)/(-4))/((-5540)/4986*27/96)
-4/5
Evaluate (-476)/102*3*(-8)/(-4)*2/(-28).
2
(12*(-2)/(-32))/((-198189)/4332)
-1/61
What is the value of (((-11)/(-165))/((-2)/(-402)))/((-147)/294)?
-134/5
What is 4*(3/(-56))/(-3)*133*29/12122?
1/44
What is the value of (1/(-50)*-3)/(((-1)/(-18))/(209/(-1881)))?
-3/25
Calculate (20/(-90))/1*(-360)/(-48).
-5/3
Evaluate (10/((-6900)/90))/((-5)/(-10)*-2).
3/23
What is (-7003)/(-745)*(2/3)/((-8)/(-12))?
47/5
Evaluate (-1)/11*(-240)/((-1400)/(-35)).
6/11
What is the value of ((-5)/2)/(-5)*71982/837?
43
What is ((-102*(-18)/(-288))/(2/8))/((-216)/18)?
17/8
What is the value of (24/48*(-70)/14)/((-3)/(-108)*2)?
-45
What is the value of (-19)/2394*18*-2?
2/7
((-3)/(-12))/(180/(-1692)*(-2)/120*3)
47
What is ((-7)/((-126)/(-288)))/(7/315*-6*3)?
40
(-18720)/(-212940)*14/4
4/13
What is the value of (16/224*(-4)/6)/(18/(4698/319))?
-3/77
Calculate ((-612)/1632)/((-7)/((-224)/(-6))).
2
((-268)/3216)/(60/(-288))
2/5
((-4)/(-4))/(230/(-322))*3/(-105)
1/25
What is (-18)/33*35376/(-2144)?
9
((28/63)/(12/9))/((-302)/(-13590))
15
Calculate ((-420)/(-9450))/(256/(-288)).
-1/20
Calculate (25/(-450)*12)/((-14)/(-15)).
-5/7
Calculate (1*(-1)/(-4))/(((-4725)/(-1764))/(-5)).
-7/15
Evaluate (-4260)/(-1136)*(-4)/(-3)*13.
65
(144452/(-4422))/((-7)/6)
28
(50*5/(-3575))/(-4*(-3)/(-264))
20/13
What is 2/(30/5)*7050/125*10/(-4)?
-47
Evaluate ((-160602)/(-1704))/((-26)/8).
-29
Evaluate (16/(-90))/((-25304)/(-9489)).
-1/15
Calculate 31/(-248)*(-808)/(-2121).
-1/21
Calculate (5/(-212))/(((-100)/32)/5).
2/53
What is the value of ((-14)/(-3))/((-4)/30)*(-3612)/1290?
98
Evaluate (-3528)/(-84)*6/(-36)*4.
-28
What is the value of (((-2)/(-145))/(12/15))/(20/2320*29)?
2/29
Evaluate ((171/(-228))/(6/(-16)))/(4/((-12)/(-63))).
2/21
What is the value of (13/5408*182)/(5/(-15)*(-3)/(-1))?
-7/16
What is (-6)/(-6)*(-4)/(-1)*(-106)/(-1166)?
4/11
Calculate (160/90)/((-6248)/(-23004)).
72/11
Evaluate ((-8)/(-80)*4)/(64/10*(-109)/(-218)).
1/8
What is the value of (5/33*6)/((4/4)/((-15)/(-15)))?
10/11
Evaluate (-1130)/(-452)*2*35/(-14)*(-84)/10.
105
What is 37872/(-104148)*11/148?
-1/37
(46/(-621)*4905/(-763))/(10/24)
8/7
What is the value of (2/(-4))/(-18*89/16554)?
31/6
(7/7)/(((-52)/(-1014))/((-6)/3))
-39
((-136)/153)/(352/792)
-2
Evaluate (8/(-1224)*-51)/((-2)/(-3)).
1/2
Evaluate ((4884/(-11))/12)/(5*(-7)/140*-4).
-37
Evaluate 366/61*(-5)/405*(-3)/1.
2/9
Evaluate -4*3/(((-99)/(-6))/(-33)*12/4).
8
What is the value of 420/((2175/(-58))/(-5))?
56
Calculate 17/85*35/77.
1/11
((-1)/17)/(((-266208)/(-1180))/376)
-5/51
Calculate ((6/(-12))/(8/((-80)/5)))/(2/(-36)).
-18
What is (3690/984)/((-66)/20*20/64*-4)?
10/11
(-27)/6*1*-2*(-1040)/(-585)*2
32
Calculate -24*(-4)/1288*(231/(-6))/(-11).
6/23
((-216)/60)/(53/((-9540)/(-8)))
-81
(2*(-560)/(-24))/((-34)/459*-9)
70
Calculate (6*(-1)/3)/((-31)/(620/(-112))).
-5/14
Evaluate ((15/100)/((-338)/8112))/((-3)/20*-1).
-24
Calculate -15*-12*(-35)/350.
-18
What is the value of ((-70)/(-665))/((-46)/19228)?
-44
Evaluate -5*(((-6)/5)/6)/(696/1824*19).
4/29
What is (-17*19/323*1)/(1/(-11))?
11
Evaluate ((5829/67)/(-957))/(-2).
1/22
What is the value of (-1*(-62)/(-24))/((((-44)/(-33))/4)/1)?
-31/4
Calculate (-45)/(-24570)*-26*1.
-1/21
What is the value of (30/3)/(14/((-40446)/(-535)))?
54
What is (((6/(-2))/3)/((-3552)/(-296)))/(6/135)?
-15/8
Evaluate (-25)/(100/(-176)*2).
22
(474/(-1343))/(832/(-4352))
24/13
Calculate 54/(-24)*(1*8)/(49/((-14014)/(-78))).
-66
What is the value of (3/(-6
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the third derivative of 2*d**6 + d**6 - 12*d**p + 4*d**6 wrt d?
840*d**3
Suppose -21*j = -117 + 33. Find the second derivative of -k**4 - 4*k + 3*k**4 - 2*k**3 + 1 - 8*k**j wrt k.
-72*k**2 - 12*k
Let h(t) = 12*t - 13. Let d be h(12). Differentiate 11*x + 32*x + 30 + x + d*x - 8 wrt x.
175
What is the derivative of -183*t - 665*t + 697 + 358 wrt t?
-848
Let o(g) be the first derivative of 4*g**6/15 + g**5/5 + 27*g**2 - 79*g + 109. Let l(r) be the first derivative of o(r). Differentiate l(t) with respect to t.
32*t**3 + 12*t**2
Let t(h) = 15*h**2 - 8. Suppose 19 = 5*f - 1, -5*c - 5*f = 35. Let p(l) = -45*l**2 + 24. Let s(m) = c*t(m) - 4*p(m). What is the derivative of s(o) wrt o?
30*o
Let z(i) = -9*i + 228. Let q be z(25). Differentiate 4*x**3 - 25*x**3 - 15*x**3 + 238*x**q + 92 wrt x.
606*x**2
Let t(x) = 365*x**3 + 3*x**2 - 3*x + 623. Let c(o) = 1096*o**3 + 10*o**2 - 10*o + 1877. Let g(d) = 3*c(d) - 10*t(d). Find the first derivative of g(u) wrt u.
-1086*u**2
What is the second derivative of -362*b**4 + 340*b + 6 - 1 - 3 - 27*b**4 wrt b?
-4668*b**2
Find the second derivative of -2144 + 454*x - 2015*x**3 - 119*x - 114*x - 111*x - 113*x wrt x.
-12090*x
Let g(z) = -43*z - 115. Let k(o) = 1. Let h be (10/(-6))/5*(-7 + 4). Let t(r) = h*g(r) - 5*k(r). What is the derivative of t(b) wrt b?
-43
Let v(f) = 5021*f**6 - 56*f**2 - 2*f - 4. Let g(k) = -10042*k**6 + 112*k**2 + 5*k + 7. Let y(n) = -4*g(n) - 9*v(n). Find the third derivative of y(a) wrt a.
-602520*a**3
Let s be 0 + 2 - 1 - 16/(-4). What is the second derivative of 47*y**5 + 21*y**s - 62*y - 43*y**5 wrt y?
500*y**3
Let m = 32 - 30. Suppose 0 = 3*g - 5*r - 2 - 5, -g + 1 = -3*r. Differentiate 12*u**2 - g*u**m + 12*u**2 - 5 with respect to u.
40*u
Suppose 47*b = -39*b. Let z(a) be the first derivative of -13/5*a**5 + 29 + 0*a**3 + b*a**2 + 17*a + 0*a**4. What is the first derivative of z(x) wrt x?
-52*x**3
Let u(h) = h - 1. Let i(y) = 33*y**3 + 48*y**2 + 3479*y + 3. Let z(t) = i(t) + 3*u(t). Find the second derivative of z(m) wrt m.
198*m + 96
Let j = -60 + 65. What is the first derivative of -47 - 24*s**3 + 6*s**2 + 12*s**3 - j*s**2 wrt s?
-36*s**2 + 2*s
Let m(j) be the second derivative of -5*j**6/3 - 4*j**3 - 774*j**2 + 1211*j. What is the first derivative of m(g) wrt g?
-200*g**3 - 24
Let g(t) be the second derivative of -10089*t**5/20 + 3685*t**4/6 - 9433*t. Find the third derivative of g(i) wrt i.
-60534
Let l(s) = -297*s**3 - 722*s**2 + 26*s. Let t(r) = -890*r**3 - 2165*r**2 + 91*r. Let c(m) = 7*l(m) - 2*t(m). What is the third derivative of c(b) wrt b?
-1794
Let t(z) be the first derivative of -22*z**3 + 255*z**7 - 81 - 245*z**7 - 5. Find the third derivative of t(i) wrt i.
8400*i**3
Find the third derivative of 5*t + 3*t**4 + 10*t**2 + 137 + 17280*t**3 - 16871*t**3 + 2*t - 8*t + 5*t**4 wrt t.
192*t + 2454
Let s(a) = 2*a + 0*a - a - 2 - 5*a. Let w be s(-1). What is the third derivative of 5*p**4 - 20*p**4 + 40*p**2 - 50*p**w wrt p?
-360*p
Let u(j) = -j + 8. Let i be u(-6). Let q be (6/i*32)/((-1)/(-7)). What is the first derivative of -2*o**4 - 96*o**3 + 15 + 20*o**4 + q*o**3 wrt o?
72*o**3
Let x(j) be the first derivative of 34/3*j**6 + 36*j**2 + 0*j**3 - 31 - 2*j + 0*j**4 + 0*j**5. Find the second derivative of x(b) wrt b.
1360*b**3
Let u(f) = -f**3 + 44*f**2 - 34*f - 365. Let y be u(43). Let p(l) be the first derivative of -y*l - 27/2*l**2 + 34. What is the first derivative of p(b) wrt b?
-27
Let h(b) be the third derivative of 5 + 11*b**2 + 0*b + 51/8*b**4 + 47/3*b**3. What is the first derivative of h(p) wrt p?
153
Find the third derivative of -72 - 187521*v - 2717*v**3 + 29*v**2 + 93757*v + 93764*v wrt v.
-16302
Let v(c) be the second derivative of 34 + 1/5*c**6 + 1/12*c**4 + 0*c**5 - c + 1/6*c**3 + 21/2*c**2. What is the second derivative of v(h) wrt h?
72*h**2 + 2
Suppose -5*t - a + 130 = -0*a, -4*t + 125 = 5*a. What is the third derivative of -22 + 15 + h**2 + t + 38*h**4 wrt h?
912*h
Let n(k) be the first derivative of -1477*k**4/2 - 6538*k + 4020. What is the first derivative of n(r) wrt r?
-8862*r**2
Let l(i) be the third derivative of -i**6/120 - 237*i**5/20 - i**4/12 + 3507*i**3/2 - 55*i**2 + 4. Differentiate l(j) wrt j.
-3*j**2 - 1422*j - 2
Suppose -4*h = -0*h - 8. Let i(j) = j**2 - 69*j + 205. Let q be i(3). What is the third derivative of -17*r**h + 3*r**5 - 10*r**6 + q*r**5 - 10*r**5 wrt r
|
{
"pile_set_name": "DM Mathematics"
}
|
there between 10:52 AM and 8:08 PM?
556
How many minutes are there between 7:36 PM and 5:09 AM?
573
What is 345 minutes before 11:02 AM?
5:17 AM
What is 6 minutes after 5:40 AM?
5:46 AM
What is 355 minutes after 1:28 PM?
7:23 PM
What is 688 minutes before 7:55 AM?
8:27 PM
How many minutes are there between 1:16 PM and 8:49 PM?
453
How many minutes are there between 12:46 AM and 5:16 AM?
270
What is 305 minutes before 11:08 PM?
6:03 PM
How many minutes are there between 1:42 AM and 1:12 PM?
690
What is 702 minutes before 6:43 AM?
7:01 PM
What is 691 minutes after 2:01 PM?
1:32 AM
What is 115 minutes before 11:32 PM?
9:37 PM
What is 353 minutes before 9:16 PM?
3:23 PM
What is 591 minutes after 9:48 PM?
7:39 AM
What is 468 minutes after 1:59 PM?
9:47 PM
What is 612 minutes before 6:34 PM?
8:22 AM
How many minutes are there between 10:26 PM and 2:50 AM?
264
What is 71 minutes before 4:36 PM?
3:25 PM
How many minutes are there between 1:43 PM and 10:50 PM?
547
What is 139 minutes before 12:14 PM?
9:55 AM
What is 501 minutes before 2:09 AM?
5:48 PM
What is 665 minutes before 10:22 AM?
11:17 PM
How many minutes are there between 12:07 PM and 7:40 PM?
453
What is 175 minutes before 11:53 AM?
8:58 AM
How many minutes are there between 5:14 PM and 3:03 AM?
589
How many minutes are there between 9:40 PM and 4:28 AM?
408
What is 107 minutes before 11:57 PM?
10:10 PM
What is 367 minutes after 1:44 PM?
7:51 PM
How many minutes are there between 12:50 AM and 12:23 PM?
693
How many minutes are there between 6:02 AM and 11:25 AM?
323
How many minutes are there between 7:55 PM and 5:13 AM?
558
What is 596 minutes before 8:52 PM?
10:56 AM
What is 293 minutes before 1:02 AM?
8:09 PM
What is 557 minutes after 1:23 AM?
10:40 AM
What is 706 minutes after 6:34 AM?
6:20 PM
How many minutes are there between 5:35 PM and 6:17 PM?
42
How many minutes are there between 6:00 AM and 6:40 AM?
40
What is 98 minutes after 5:38 PM?
7:16 PM
How many minutes are there between 7:01 PM and 2:25 AM?
444
How many minutes are there between 12:07 PM and 10:50 PM?
643
What is 373 minutes after 11:21 AM?
5:34 PM
How many minutes are there between 1:36 AM and 10:49 AM?
553
How many minutes are there between 9:25 PM and 2:02 AM?
277
How many minutes are there between 7:42 PM and 12:31 AM?
289
How many minutes are there between 10:52 AM and 10:02 PM?
670
What is 480 minutes after 12:34 PM?
8:34 PM
What is 127 minutes before 4:10 PM?
2:03 PM
How many minutes are there between 5:38 PM and 7:45 PM?
127
How many minutes are there between 10:32 AM and 1:37 PM?
185
What is 165 minutes before 11:06 PM?
8:21 PM
What is 576 minutes before 5:19 AM?
7:43 PM
How many minutes are there between 9:21 AM and 6:01 PM?
520
How many minutes are there between 10:03 AM and 3:35 PM?
332
How many minutes are there between 10:59 PM and 5:39 AM?
400
How many minutes are there between 2:07 PM and 7:31 PM?
324
What is 457 minutes before 7:09 AM?
11:32 PM
What is 10 minutes before 10:59 PM?
10:49 PM
What is 419 minutes after 2:57 PM?
9:56 PM
What is 139 minutes before 12:14 PM?
9:55 AM
What is 685 minutes after 12:04 AM?
11:29 AM
How many minutes are there between 10:31 AM and 8:59 PM?
628
What is 480 minutes after 11:07 PM?
7:07 AM
How many minutes are there between 12:19 AM and 12:52 AM?
33
What is 52 minutes before 10:15 PM?
9:23 PM
What is 581 minutes after 10:20 PM?
8:01 AM
How many minutes are there between 1:29 PM and 7:57 PM?
388
What is 706 minutes before 4:49 AM?
5:03 PM
What is 231 minutes after 5:14 AM?
9:05 AM
How many minutes are there between 12:48 PM and 9:51 PM?
543
How many minutes are there between 5:34 AM and 8:25 AM?
171
How many minutes are there between 8:43 AM and 1:26 PM?
283
What is 279 minutes before 5:34 AM?
12:55 AM
What is 76 minutes before 10:06 PM?
8:50 PM
What is 703 minutes after 7:02 PM?
6:45 AM
How many minutes are there between 3:07 PM and 12:26 AM?
559
What is 538 minutes after 9:48 PM?
6:46 AM
What is 320 minutes after 11:07 PM?
4:27 AM
What is 714 minutes before 9:40 AM?
9:46 PM
How many minutes are there between 3:30 PM and 10:54 PM?
444
What is 33 minutes before 10:31 PM?
9:58 PM
How many minutes are there between 12:31 PM and 1:12 PM?
41
How many minutes are there between 8:24 AM and 1:03 PM?
279
What is 111 minutes after 9:12 AM?
11:03 AM
What is 457 minutes before 9:47 AM?
2:10 AM
What is 126 minutes before 10:15 PM?
8:09 PM
What is 404 minutes after 6:28 PM?
1:12 AM
What is 251 minutes after 11:57 AM?
4:08 PM
How many minutes are there between 5:33 PM and 9:37 PM?
244
How many minutes are there between 10:30 AM and 4:23 PM?
353
How many minutes are there between 9:46 PM and 6:32 AM?
526
What is 681 minutes after 3:35 AM?
2:56 PM
How many minutes are there between 5:41 AM and 7:28 AM?
107
What is 366 minutes before 8:49 PM?
2:43 PM
How many minutes are there between 12:16 AM and 8:50 AM?
514
What is 328 minutes after 2:56 AM?
8:24 AM
How many minutes are there between 4:28 AM and 5:01 AM?
33
What is 418 minutes before 3:54 PM?
8:56 AM
How many minutes are there between 3:05 PM and 11:30 PM?
505
What is 371 minutes before 8:41 AM?
2:30 AM
How many minutes are there between 12:43 PM and 11:29 PM?
646
What is 470 minutes before 4:20 PM?
8:30 AM
How many minutes are there between 8:03 PM and 11:04 PM?
181
What is 237 minutes before 1:17 AM?
9:20 PM
What is 39 minutes before 11:45 PM?
11:06 PM
What is 11 minutes before 9:23 PM?
9:12 PM
What is 618 minutes after 5:48 AM?
4:06 PM
How many minutes are there between 2:53 AM and 2:08 PM?
675
How many minutes are there between 11:20 PM and 10:23 AM?
663
What is 547 minutes before 7:36 AM?
10:29 PM
What is 249 minutes after 3:47 PM?
7:56 PM
How many minutes are there between 4:35 PM and 2:05 AM?
570
What is 693 minutes before 4:12 PM?
4:39 AM
How many minutes are there between 11:35 AM and 7:37 PM?
482
What is 110 minutes before 8:31 PM?
6:41 PM
How many minutes are there between 12:19 PM and 9:52 PM?
573
What is 270 minutes before 6:45 AM?
2:15 AM
How many minutes are there between 8:12 PM and 10:41 PM?
|
{
"pile_set_name": "DM Mathematics"
}
|
*b = 4*b + 2 for b.
2
Solve -53*y + 24*y = 261 for y.
-9
Solve 0 = 148*o - 150*o + 2 for o.
1
Solve -30*v = -4*v for v.
0
Solve 16*s - 80 = -32 for s.
3
Solve -15*p = 847 - 892 for p.
3
Solve 18 + 14 = 8*a for a.
4
Solve -10*q = q - 33 for q.
3
Solve 0 = -8*d - 2 + 10 for d.
1
Solve -66*y - 21 = -69*y for y.
7
Solve 108 = -1807*b + 1819*b for b.
9
Solve 0 = -91*s + 96*s + 25 for s.
-5
Solve 71 - 27 = 11*t for t.
4
Solve -4*b + 0*b + 12 = 0 for b.
3
Solve 0 = 227*j - 178*j + 245 for j.
-5
Solve 0 = -26*g + 10*g - 128 for g.
-8
Solve -29*n + 36*n + 21 = 0 for n.
-3
Solve -36*f = -4*f - 64 for f.
2
Solve -64*q + 52*q = -12 for q.
1
Solve 3*q - 19 = -28 for q.
-3
Solve 86 = -57*k - 28 for k.
-2
Solve 64*h + 8*h = -360 for h.
-5
Solve -32*y = -72*y for y.
0
Solve 4 - 1 = h for h.
3
Solve 8*f = -8173 + 8237 for f.
8
Solve 2 = -4*h + 6 for h.
1
Solve 4*k + 40 = 12*k for k.
5
Solve -51 - 233 = -71*a for a.
4
Solve 32 = -14*s + 18 for s.
-1
Solve -8*g + 51*g + 43 = 0 for g.
-1
Solve 336 = 13*z + 35*z for z.
7
Solve -q + 42 = 20*q for q.
2
Solve -20*w = 5*w + 125 for w.
-5
Solve 0 = -6*o - 6*o + 36 for o.
3
Solve -m = 11 - 9 for m.
-2
Solve -4*z + 3*z = z for z.
0
Solve -585 = -229*z + 164*z for z.
9
Solve -19*j = 1 + 75 for j.
-4
Solve 79*c = -7*c for c.
0
Solve -178*s = -130*s + 480 for s.
-10
Solve 6*k = -25 - 5 for k.
-5
Solve 84 = -3*p - 25*p for p.
-3
Solve -3*x - 30 = -9*x for x.
5
Solve -57*r + 25 = -52*r for r.
5
Solve -49*w = -56*w - 14 for w.
-2
Solve 70*w - 145 = 99*w for w.
-5
Solve 51 = -14*f - 3*f for f.
-3
Solve 22 - 28 = 3*c for c.
-2
Solve 12*o - 24 = 6*o for o.
4
Solve -146 = -18*f + 91*f for f.
-2
Solve 2*w - 45 = -37 for w.
4
Solve -45*s - 237 = -12 for s.
-5
Solve 19*m - 4 = 23*m for m.
-1
Solve 156*y - 128*y - 224 = 0 for y.
8
Solve 3*u = -115 + 124 for u.
3
Solve -78*s = -100*s for s.
0
Solve -2*q = 6686 - 6700 for q.
7
Solve 0 = 2*i - 2 + 10 for i.
-4
Solve -30*h = 30 + 180 for h.
-7
Solve -60 = 10*j - 0*j for j.
-6
Solve 3*b + 39 = 42 for b.
1
Solve 27 = -20*w + 11*w for w.
-3
Solve 3*q - 153 = -14*q for q.
9
Solve -45 = -21*l + 30*l for l.
-5
Solve x = x - x for x.
0
Solve 0 = -1216*l + 1179*l - 296 for l.
-8
Solve 10*k = 7*k - 6 for k.
-2
Solve -500*g + 22 = -511*g for g.
-2
Solve -43*t + 10 = -45*t for t.
-5
Solve -223 = -37*h - 260 for h.
-1
Solve -133*v + 68 = -150*v for v.
-4
Solve -14*v = 3*v + 17 for v.
-1
Solve 13*k + 318 = 266 for k.
-4
Solve 49*d - 60*d + 11 = 0 for d.
1
Solve 6 = 96*k - 98*k for k.
-3
Solve -11*b - 27 + 104 = 0 for b.
7
Solve -h + 12*h - 77 = 0 for h.
7
Solve -18*o + 11*o = -7 for o.
1
Solve 9*h = -8 + 8 for h.
0
Solve 2 = -4*b - 6 for b.
-2
Solve 45 = 9*i + 6*i for i.
3
Solve 10 - 18 = 8*k for k.
-1
Solve 14*t + 78 = 40*t for t.
3
Solve -5 + 5 = -9*d for d.
0
Solve -16*z - 79 + 15 = 0 for z.
-4
Solve 1 = 96*k + 1 for k.
0
Solve 13*w = -18 - 86 for w.
-8
Solve 29*d + 8*d = 0 for d.
0
Solve -34*f - 169 = 103 for f.
-8
Solve -8*a = -6*a + 4 for a.
-2
Solve 0 = 20*o - 24*o + 12 for o.
3
Solve 23*t - 80 = 104 for t.
8
Solve -4*r + 131 - 107 = 0 for r.
6
Solve 11*w + 5069 - 5146 = 0 for w.
7
Solve 0 = -27*g - 18*g + 225 for g.
5
Solve -47 = g - 50 for g.
3
Solve b + 9 - 4 = 0 for b.
-5
Solve -7*c - 1072 = -1037 for c.
-5
Solve -9*r - 50 = r for r.
-5
Solve 0 = -137*j + 114*j - 69 for j.
-3
Solve a - 4 = -6 for a.
-2
Solve -123*p + 151 = 28 for p.
1
Solve 1705 = -5*m + 1745 for m.
8
Solve -5*b + 4 = -11 for b.
3
Solve 26 - 28 = 2*k for k.
-1
Solve -19*y + 10 = -17*y for y.
5
Solve 0 = -6*u + 1 + 29 for u.
5
Solve 3*c - 124 = -136 for c.
-4
Solve 0 = -99*v + 337 - 1228 for v.
-9
Solve 11*a - 6 = 5 for a.
1
Solve 12*a - 16*a = 24 for a.
-6
Solve -3*o + 4*o - 1 = 0 for o.
1
Solve -26*c + 102 = -28 for c.
5
Solve -3*w = -18*w + 30 for w.
2
Solve -3*q = -21*q + 126 for q.
7
Solve 41*v = 36*v - 25 for v.
-5
Solve 0 = -12*v - 52 - 20 for v.
-6
Solve -4*h + 25*h = 42 for h.
2
Solve 46 = 7*v + 18 for v.
4
Solve 201*y = 219*y for y.
0
Solve 40 = -58*c + 48*c for c.
-4
Solve 188*y - 192*y - 16 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
of h(j) wrt j?
5712*j
Let v(c) be the third derivative of -19*c**6/3 - 15*c**4/8 - 374*c**2. What is the second derivative of v(x) wrt x?
-4560*x
Let n = 7 - 2. Find the third derivative of g**4 - 3*g**4 - 2*g**4 - n*g**2 + 9*g**2 wrt g.
-96*g
Let p(m) be the third derivative of -23*m**7/105 + 46*m**3 - 250*m**2. What is the derivative of p(g) wrt g?
-184*g**3
Let f = 5 + -1. What is the third derivative of -41 - 7*i**2 - 43 - 5*i**f + 84 wrt i?
-120*i
Let m(f) be the first derivative of f**4/2 - 32*f**3/3 - 153*f**2 - f - 975. Find the second derivative of m(q) wrt q.
12*q - 64
Let d(v) = -2*v**3 - 4*v**2 + v - 1. Let r(t) = 951*t**3 + 12*t**2 - 3*t - 457. Let o(x) = 3*d(x) + r(x). What is the first derivative of o(n) wrt n?
2835*n**2
Let c(m) be the first derivative of 8 + 3 - 6*m**2 + 1 - 5*m - 1. What is the first derivative of c(t) wrt t?
-12
Let f(l) be the first derivative of -10 - 11/3*l**3 + 3/2*l**2 + 2*l. Find the second derivative of f(p) wrt p.
-22
What is the first derivative of -85*p - 7 - 12 + 5 - 1 wrt p?
-85
Let g = -259 + 259. Let d(c) be the first derivative of 0*c**3 + g*c**2 - 3/2*c**4 - 5*c - 4. What is the derivative of d(w) wrt w?
-18*w**2
Suppose -1 = t - 4. Let l be 1/t*-2*-3. What is the second derivative of -4*i**2 + 2*i - l*i - 5*i + 0*i wrt i?
-8
Let u(w) = 2*w + 4. Let p be u(9). Suppose 7*i = 5*i + p. Find the third derivative of -4*j**2 - 4*j**4 + j**2 + i*j**4 wrt j.
168*j
Let u be 25/(-5 + (-120)/(-16)). Let y(v) = 2*v**2. Let r be y(-1). Find the second derivative of 0*x**r - u*x**2 + 9*x**2 - 11*x + 15*x**2 wrt x.
28
Find the second derivative of -43*q**3 + 0*q + 6*q**2 + 60*q**3 - 5*q**2 + 113*q**3 - 61*q wrt q.
780*q + 2
Let z(c) be the first derivative of 0*c**4 + 5/2*c**2 - 12/5*c**5 + 2 + 0*c + 0*c**3. Find the second derivative of z(h) wrt h.
-144*h**2
Let b(a) = -85*a + 155. Let z(i) = -171*i + 311. Let w(t) = -5*b(t) + 3*z(t). Differentiate w(p) with respect to p.
-88
Let v = 29 - 45. Let i = -14 - v. Find the third derivative of 240*f**3 - 240*f**3 + i*f**2 - 8*f**6 wrt f.
-960*f**3
Let y(g) be the second derivative of -149*g**4/4 + 337*g**2/2 - 70*g. What is the first derivative of y(z) wrt z?
-894*z
Let s = -21 + 21. Let g(c) = s - 3 - 9 + 4*c. Let m(p) = 9*p - 23. Let f(d) = 11*g(d) - 6*m(d). Differentiate f(v) with respect to v.
-10
Find the second derivative of 124*s - 4*s**5 - 231595*s**2 - 42*s**4 + 231595*s**2 wrt s.
-80*s**3 - 504*s**2
What is the derivative of 86 + 18*v - 67 - 35 + 149 wrt v?
18
Let o(k) be the second derivative of k**7/42 - 27*k**5/20 - 9*k**3 - 3*k + 2. Find the second derivative of o(f) wrt f.
20*f**3 - 162*f
Let a = 38 - 33. What is the second derivative of -12*c**4 + 26*c + 6*c**4 + a*c**4 wrt c?
-12*c**2
Let f(t) be the second derivative of -t**6/90 - t**5/30 - t**4/4 + 5*t. Let c(u) be the third derivative of f(u). Find the first derivative of c(v) wrt v.
-8
Let i(q) be the first derivative of 2 + 9/4*q**4 + 18*q**2 + 0*q + 0*q**3. What is the second derivative of i(g) wrt g?
54*g
Let u be 4 - 2 - 4*(-2)/4. Differentiate 20 + 1 - u + 13 - 30*a with respect to a.
-30
Let i be (-10)/4*(-28)/35. What is the second derivative of 2*g + i*g - 14*g**2 - 6*g wrt g?
-28
Let d(q) be the third derivative of -29*q**5/60 - 7*q**4/12 + 16*q**2 + 3. Find the second derivative of d(f) wrt f.
-58
Let v(y) be the third derivative of 617*y**4/24 - 316*y**3/3 + 89*y**2 + 2. What is the first derivative of v(q) wrt q?
617
What is the third derivative of 4 + 70*f**6 + 56*f**2 + 12 - 7 - 11 wrt f?
8400*f**3
Suppose -d + 2*o = 0, 3*d = -0*d + 5*o + 1. Differentiate -2 - d + 21*h**2 + 8 - 2*h**2 wrt h.
38*h
Let h(p) = -p**3 - 11*p**2 + 13*p + 14. Let z be h(-12). Let s = z + 0. What is the third derivative of 10*y**s + y**3 - 7*y**2 + 6*y**2 wrt y?
6
Let u be 32/6*6/8. Find the second derivative of 4*y - 13*y - 7*y**u + 4*y wrt y.
-84*y**2
Differentiate -20*v**4 + 9*v**4 - 7*v**4 + 115 + 35 wrt v.
-72*v**3
Let m be -1 - (1 + (-4 - -1)). Suppose r = -5*s + 13, -2*r = 5*s - 15 - m. What is the third derivative of 6*z**2 + 9*z**r + 0*z**2 + z**2 - 12*z**3 wrt z?
-18
Let y be 2*-1 + -7*6/(-21). Let h(i) be the first derivative of y*i**3 - 2/5*i**5 - 1/2*i**2 - 5 + 0*i**4 + 0*i. Find the second derivative of h(o) wrt o.
-24*o**2
Let r(b) be the first derivative of 11*b**4/4 - b**3/3 - 2*b**2 - 27. Find the third derivative of r(a) wrt a.
66
Let d(n) = 10*n**6 - 4*n**5 + 27*n**3 - 676*n**2 + 12*n. Let r(j) = -j**5 + 3*j. Let m(i) = -d(i) + 4*r(i
|
{
"pile_set_name": "DM Mathematics"
}
|
v.
4
Solve 18*d - 132 + 24 = 0 for d.
6
Solve -3*p = -5*p for p.
0
Solve 6*q = -44 + 68 for q.
4
Solve 29 = -69*c - 40 for c.
-1
Solve 5*l + 198 = 223 for l.
5
Solve c - 1813 + 1812 = 0 for c.
1
Solve 0 = -7*x + 2 + 5 for x.
1
Solve -10*w + 15 = -5 for w.
2
Solve 3*y - 7*y = 0 for y.
0
Solve -4*l - 5 = -9 for l.
1
Solve -25*d + 182 = d for d.
7
Solve 79*v - 188 - 128 = 0 for v.
4
Solve -214*k + 220*k - 24 = 0 for k.
4
Solve -20 = 36*q - 40*q for q.
5
Solve 40 = -83*v + 91*v for v.
5
Solve 8*k = -36 + 52 for k.
2
Solve 9*p + 10 = 4*p for p.
-2
Solve -17*j - 52 = 9*j for j.
-2
Solve 0*r - 30 = -6*r for r.
5
Solve 3463*v - 3459*v - 24 = 0 for v.
6
Solve 11*o - 10 = 1 for o.
1
Solve l = -4 - 5 for l.
-9
Solve 0 = -8*k + 9*k + 2 for k.
-2
Solve -29*q + 15 = -26*q for q.
5
Solve -5 = -h - 6 for h.
-1
Solve -32*j = -27*j - 25 for j.
5
Solve 21*h + 12 + 9 = 0 for h.
-1
Solve -18 = 16*r + 30 for r.
-3
Solve -4*i = -8*i - 4 for i.
-1
Solve 0 = -5*j + 198 - 208 for j.
-2
Solve 9*b = -32*b + 11*b for b.
0
Solve 10*p = -8*p for p.
0
Solve -s + 19*s + 126 = 0 for s.
-7
Solve 35 = 33*r - 40*r for r.
-5
Solve 2*v + 2495 = 2489 for v.
-3
Solve 4*z + 25*z + 203 = 0 for z.
-7
Solve 20*b = -3 - 77 for b.
-4
Solve 150 = 36*n + 14*n for n.
3
Solve 0 = -219*y + 252*y - 297 for y.
9
Solve 0 = 13*y + 12 + 27 for y.
-3
Solve 14 = 4*b - 6*b for b.
-7
Solve 60 = -11*f - 6 for f.
-6
Solve -19*m = 21*m - 42*m for m.
0
Solve 19*s + 17 = 74 for s.
3
Solve -12*s + 21*s + 18 = 0 for s.
-2
Solve 1092*g + 24 = 1086*g for g.
-4
Solve -27*l = 45*l + 432 for l.
-6
Solve 0 = 8*h + 105 - 97 for h.
-1
Solve 97*p - 4 = 93*p for p.
1
Solve 297 = 15*y + 207 for y.
6
Solve -42*o + 66 - 24 = 0 for o.
1
Solve 23*t - 32*t = 18 for t.
-2
Solve -78 = -11*s + 37*s for s.
-3
Solve 3 = 6*c + 27 for c.
-4
Solve -253*r = -263*r + 50 for r.
5
Solve 6*g - 3 + 33 = 0 for g.
-5
Solve 199 = -16*p + 71 for p.
-8
Solve 3*y = 330 - 333 for y.
-1
Solve 46*v + 45*v + 91 = 0 for v.
-1
Solve t + 9 = 4*t for t.
3
Solve 60*y + 23*y = 747 for y.
9
Solve -162 = -50*a + 23*a for a.
6
Solve -49*r = -38*r + 66 for r.
-6
Solve -11*q + 27 + 17 = 0 for q.
4
Solve 3*j = 7*j - 7*j for j.
0
Solve 330*n - 6 = 324*n for n.
1
Solve 20*i + 39*i = -118 for i.
-2
Solve 49 = -9*l + 58 for l.
1
Solve -7*l + 28 = 7 for l.
3
Solve 39 = 24*n - 33 for n.
3
Solve 0 = 589*h - 577*h - 72 for h.
6
Solve 49*s = -28*s + 308 for s.
4
Solve 32*n = 1575 - 1575 for n.
0
Solve 0 = 7*w + 53 - 25 for w.
-4
Solve 5*j + 32 = -3*j for j.
-4
Solve -51*r = -8 + 59 for r.
-1
Solve 6*q - 10 = -4*q for q.
1
Solve -55 + 151 = -16*a for a.
-6
Solve 0 = 6*m - 330 + 294 for m.
6
Solve -50*c - 63 = -41*c for c.
-7
Solve -3*f + f = 2 for f.
-1
Solve -54 - 58 = -28*p for p.
4
Solve 0*w = -8*w - 24 for w.
-3
Solve -33*q + 28*q = -45 for q.
9
Solve 619 = 138*y - 761 for y.
10
Solve -5*t - 17 = 8 for t.
-5
Solve 64*z = 60*z + 24 for z.
6
Solve -3 + 5 = n for n.
2
Solve 0 = 4*a - 134 + 126 for a.
2
Solve 6*l = 1 - 19 for l.
-3
Solve 15*k = 6 + 9 for k.
1
Solve -343*v = -334*v - 9 for v.
1
Solve 0 = -9*u - 10*u + 171 for u.
9
Solve 81 = -355*z + 346*z for z.
-9
Solve 63*k - 6*k = 171 for k.
3
Solve 2*r + 2 = 10 for r.
4
Solve -220*t - 28 = -213*t for t.
-4
Solve 0 = -0*h + 2*h - 0*h for h.
0
Solve 10*k = -20 - 0 for k.
-2
Solve -25*g + 12*g + 65 = 0 for g.
5
Solve 0 = -19*i + 18*i - 4 for i.
-4
Solve 2*f - 73 = -65 for f.
4
Solve -2 = -7*l + 26 for l.
4
Solve 511 = -45*p + 151 for p.
-8
Solve -14*t = t - 30 for t.
2
Solve 295*j = 262*j + 99 for j.
3
Solve -11 = 13*y + 54 for y.
-5
Solve -9*q - 26 = -8 for q.
-2
Solve 2*l = -18 + 8 for l.
-5
Solve -27*l - 21 = 60 for l.
-3
Solve -4*d + 10*d = -12 for d.
-2
Solve -656*f = -665*f + 18 for f.
2
Solve m - 34 + 29 = 0 for m.
5
Solve -p - 3*p - 8 = 0 for p.
-2
Solve 37*f - 31*f - 12 = 0 for f.
2
Solve 501 - 496 = -5*c for c.
-1
Solve -839*l + 869*l = -210 for l.
-7
Solve 93*o = 92*o for o.
0
Solve -18*c + 9*c = 9 for c.
-1
Solve 5*c = 16*c + 33 for c.
-3
Solve -6*g = -4*g - 10 for g.
5
Solve 41 - 171 = 26*
|
{
"pile_set_name": "DM Mathematics"
}
|
base 13, what is -179 - 3c6aa?
-3c856
In base 6, what is -412441 + 140?
-412301
In base 5, what is 2342 - -13034440?
13042332
In base 6, what is 10051454 + -11?
10051443
In base 13, what is 0 + 18102b7?
18102b7
In base 13, what is -4 - -293a9a?
293a96
In base 11, what is 17254a94 - -9?
17254aa2
In base 15, what is -11de8 + 30?
-11db8
In base 2, what is -101 - -101010010010111100100?
101010010010111011111
In base 3, what is -120 - 1220001212001?
-1220001212121
In base 6, what is -10353 + 11043444?
11033051
In base 16, what is -39 - 45225?
-4525e
In base 11, what is 9487 + 13393?
2186a
In base 3, what is -10 - 1222002022021?
-1222002022101
In base 4, what is 100130333 + -111311?
100013022
In base 2, what is 11111001010001 - 1001111010?
11101111010111
In base 6, what is 23022133 + 45?
23022222
In base 10, what is -1515346123 + 4?
-1515346119
In base 8, what is 413 - -4321?
4734
In base 9, what is -5 + 537848725?
537848720
In base 12, what is -143a12 - -227?
-1437a7
In base 4, what is -22212 - -223232?
201020
In base 15, what is -6 + 18e63bb?
18e63b5
In base 4, what is -2103333020310 + -3?
-2103333020313
In base 14, what is -4bd4c - -4d2?
-4b85a
In base 4, what is -11 - -1103301010323?
1103301010312
In base 3, what is -1 + 11111101021022201?
11111101021022200
In base 6, what is 21013433540 - 1?
21013433535
In base 5, what is -21320 - -21000?
-320
In base 2, what is 1000 - -11100001101100000100000?
11100001101100000101000
In base 12, what is -2b762 + -1225?
-30987
In base 7, what is -6205 + 1643623?
1634415
In base 7, what is -30 + 2063106?
2063046
In base 13, what is -2 + 236331?
23632c
In base 2, what is -10101011001101010111 + 10001110001?
-10101010111011100110
In base 5, what is -204210 + 110?
-204100
In base 16, what is -8 + -47c0a?
-47c12
In base 8, what is 74450035 - 4?
74450031
In base 14, what is 33dc5746 + 2?
33dc5748
In base 2, what is -10101010110111110011000 + 101?
-10101010110111110010011
In base 3, what is -2100 - 1110012110020?
-1110012112120
In base 7, what is 633 - 52132?
-51166
In base 10, what is -98394 - 1476?
-99870
In base 5, what is 4233422124 + -1?
4233422123
In base 16, what is -157db - 15?
-157f0
In base 2, what is 100001 - -11011010000011011?
11011010000111100
In base 9, what is -27050228 - -4?
-27050224
In base 5, what is -4 + 312441303?
312441244
In base 8, what is -122 + 12577336?
12577214
In base 12, what is -35 + 2769337?
2769302
In base 10, what is 0 + -30692247?
-30692247
In base 2, what is 1000110001000 + -1100100100000010?
-1011011101111010
In base 9, what is -24707245 + 5?
-24707240
In base 16, what is 4 - 124f30?
-124f2c
In base 16, what is 249a + -a92?
1a08
In base 6, what is 2 - 44031125404?
-44031125402
In base 4, what is -20213112 + -2310?
-20222022
In base 2, what is -111010001 - 11000001111111010?
-11000010111001011
In base 11, what is a2228 + 346?
a2573
In base 2, what is 11 + 100010110000101101111?
100010110000101110010
In base 6, what is 4 + -155135521?
-155135513
In base 5, what is -12043300 + -12134?
-12110434
In base 16, what is 3 - -5ba2869?
5ba286c
In base 13, what is -1 + -164a6a2?
-164a6a3
In base 8, what is 126 + 3631222?
3631350
In base 3, what is 120122012 - 100211121?
12210121
In base 8, what is 0 - 57575615?
-57575615
In base 8, what is 24 - 2122154?
-2122130
In base 2, what is 1010101111010010010010100 + -1010?
1010101111010010010001010
In base 12, what is -6 + 1925846?
1925840
In base 8, what is -56221 - -77?
-56122
In base 9, what is 15 + 234331?
234346
In base 12, what is 2b333 - -111?
2b444
In base 2, what is -10011100010111100 - 1111111000?
-10011110010110100
In base 4, what is -123033122031 + -32?
-123033122123
In base 10, what is 172137 - 385?
171752
In base 15, what is -43ee + -c0?
-44be
In base 13, what is 164868 - c?
164859
In base 10, what is -81 + -1068183?
-1068264
In base 8, what is 22107 + -1006?
21101
In base 8, what is -373500 - -6?
-373472
In base 2, what is -1000101101111 - 1011110000001?
-10100011110000
In base 7, what is 262533 - 221?
262312
In base 7, what is 1162065 + -63?
1162002
In base 7, what is -203535504 - 25?
-203535532
In base 3, what is 111022112 + -1102122?
102212220
In base 12, what is -6438410 - 22?
-6438432
In base 6, what is 23 + 50421413?
50421440
In base 10, what is 1776989 - -241?
1777230
In base 12, what is -3810039b - -8?
-38100393
In base 14, what is 10c4 - 370c?
-2628
In base 10, what is -3747 - -90?
-3657
In base 9, what is 215868 + 1030?
217008
In base 5, what is -141124 + -1321?
-143000
In base 4, what is 13030303332102 - -11?
13030303332113
In base 13, what is -a + 743b08c?
743b082
In base 13, what is -39 - -5ca26?
5c9ba
In base 15, what is 6e8e - a666?
-36c7
In base 13, what is 40 - 120b6b?
-120b2b
In base 5, what is -10 - -42442030110?
42442030100
In base 14, what is -11 - 87a3dc?
-87a40
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Let u = 33732 + -33732.8173. What is u rounded to 2 dps?
-0.82
Let y = 432524 - 433552.038. Let h = y + 1029. Round h to 2 dps.
0.96
Let h = 11.92630671 - 11.869307. Let p = -0.903 - -0.96. Let q = p - h. Round q to 7 dps.
0.0000003
Let h = 56.767 + -56.731719. Round h to three decimal places.
0.035
Let b = 18598.99997383 + -18599. What is b rounded to 6 dps?
-0.000026
Let x be ((-264)/(-18))/(12/197848782). Let g = -135215178 + x. What is g rounded to the nearest 1000000?
107000000
Let j = 46.8300006842 - 46.83. What is j rounded to 7 decimal places?
0.0000007
Suppose 4*r - 30 = -3*c - 0*c, 0 = -5*r - 3*c + 36. Let n be 4815/r*(-4 - -2)*-863. Let s = n - 3325115. Round s to the nearest 100000.
-1900000
Let w = -28006 - -28005.971978. What is w rounded to four dps?
-0.028
Let c = 30866 - 1966. Let r = -389 + 397. Suppose -c = -r*b - 2*b. Round b to the nearest 1000.
3000
Let g = -620.711 + 622. Let h = 366.9 - 368. Let r = g + h. What is r rounded to 2 dps?
0.19
Let o(h) = -961346*h - 1114. Let k be o(-9). What is k rounded to the nearest 1000000?
9000000
Let c = 793 - 800.62. Let v = c + -5.6. Round v to zero decimal places.
-13
Let u = 1043.9 - 1043.9016289. What is u rounded to 4 dps?
-0.0016
Let l = -9739 - -9738.9999866665. Round l to 7 decimal places.
-0.0000133
Let j = -2315.588065929717 + -0.411933027283. Let k = 2316 + j. What is k rounded to 7 dps?
0.000001
Let p = 0.702 - 128.102. Let k = 102 + p. Round k to the nearest integer.
-25
Let v = 897 + -864. Let h = v - 32.9801. Round h to two decimal places.
0.02
Let a = 219 - 386. Let y = -167.00000546 - a. Round y to 7 dps.
-0.0000055
Suppose 0 = -g + 5, 0 = a + 4*g + g - 6573. Let f = a + -11998. What is f rounded to the nearest 100?
-5500
Suppose 6 = -6*h + 24. Suppose -5*p = -h*p - 28. Suppose 16*b = p*b - 43800000. Round b to the nearest one million.
-22000000
Let z = 3239.99995998 - 3240. Round z to 5 decimal places.
-0.00004
Let r be (-1)/(-10)*-6 - (99478918/(-55) + 7). What is r rounded to the nearest one hundred thousand?
1800000
Let j = 43 + -44. Let r be ((-94)/(-3))/(j/(-12)). Suppose l = -442 - r. What is l rounded to the nearest one hundred?
-800
Let o(n) = -13*n**2 - 27*n + 7. Let x be o(-5). Let h = 677183 + x. Round h to the nearest 10000.
680000
Let l = -8958 - -15445. Suppose 56*u = l - 57615. Round u to the nearest 100.
-900
Let l = -0.51 - -31.51. Let a = l - 30.9675. Let p = a + 21.6675. Round p to the nearest integer.
22
Let u = 466299568 - 466096730.9989. Let h = 202827 - u. Let w = 10 + h. Round w to three dps.
-0.001
Suppose 0 = 5*b - 3*c - 351, -2*b - c + 150 = 3. Suppose -67*o = -b*o + 1180000. What is o rounded to the nearest 10000?
240000
Let y = -143.04 + 144. Let h = 10743745.95999768 - 10743745. Let t = y - h. Round t to six decimal places.
0.000002
Suppose -117*k = -51*k + 139*k + 237152200. Round k to the nearest 100000.
-1200000
Let f = -16141.19 + 16496. Round f to 0 decimal places.
355
Let k = -129.29 - -129.29000429. Round k to seven decimal places.
0.0000043
Let t = 12864.2 + -12861. Let g = 66.433 + -63.2331. Let c = t - g. Round c to 3 decimal places.
0
Let t = -120 - -110.1. Let v = 102713.1098 - 102723. Let g = t - v. Round g to three dps.
-0.01
Let o = 7.473387 + -7.85355. Let n = o - -0.38. Round n to 5 dps.
-0.00016
Let v = 97.54 - 97.488276. Round v to four dps.
0.0517
Let u = -365.91448 - -0.03448. Round u to the nearest ten.
-370
Let m(j) = -185157*j**3 + 5*j**2 - 10*j + 7. Let t be m(4). Let u be t/(-3) + (-7 - 40/(-6)). Round u to the nearest 100000.
4000000
Suppose 0 = -7*s + 26*s - 960716. Let o = s - 32364. What is o rounded to the nearest one thousand?
18000
Let k = -106.5 + 116. Let y = k + -9.5000086. What is y rounded to 6 decimal places?
-0.000009
Let j = 1.34 - 1.4. Let z = j - -0.0599978. Round z to 7 decimal places.
-0.0000022
Suppose -4*k + 206807557 = 3*m, m - 2*m + 103403777 = 2*k. Suppose 12601887 = -p + k. Round p to the nearest 1000000.
39000000
Let k be ((-2288)/3432)/(1 - (-1 - (-190336)/95169)). What is k rounded to the nearest ten thousand?
-30000
Suppose 10*s - 458168 - 260502 = 0. Let u = 124039 - s. Suppose 67828 + u = 8*t. What is t rounded to the nearest 1000?
15000
Let p = 18210.628 + -18231.763518. Let b = 0.135718 + p. Let a = -21 - b. What is a rounded to 3 dps?
0
Let z = 73.332 + -0.482. Let m = 74 - z. Let o = m - -3.75. What is o rounded to the nearest integer?
5
Let x = -738608 + 1346468. Round x to the nearest ten thousand.
610000
Let f = -69766168938097 + 69766242158065.000087. Let s = 73219929 - f. Let v = 39 + s. Round v to five decimal places.
-0.00009
Let r = -2362 - -1616. Let j = r + 745.99998032. What is j rounded to 6 dps?
-0.00002
Let h = 23117 + -23590.38. Let q = -469 - h. Round q to one decimal place.
4.4
Let m = -9380822 + 15501304. Suppose 11*s = 44*s - 296685906. Let t = m - s. Round t to the nearest 100000.
-2900000
Let b = -0.8247 + -0.0193. Let l = b + 0.843999467. What is l rounded to seven decimal places?
-0.0000005
Let x = -0.210088 - 26.789312. Let w = 12 - 39. Let d = w - x. Round d to 3 decimal places.
-0.001
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tenth root of 26480377 to the nearest integer?
6
What is the seventh root of 22795431 to the nearest integer?
11
What is the ninth root of 10696408 to the nearest integer?
6
What is the fourth root of 1825920 to the nearest integer?
37
What is 499199 to the power of 1/2, to the nearest integer?
707
What is 136706 to the power of 1/5, to the nearest integer?
11
What is 1369589 to the power of 1/3, to the nearest integer?
111
What is 417621 to the power of 1/3, to the nearest integer?
75
What is the fourth root of 14920402 to the nearest integer?
62
What is 366887 to the power of 1/10, to the nearest integer?
4
What is 1956263 to the power of 1/3, to the nearest integer?
125
What is the third root of 11813137 to the nearest integer?
228
What is the cube root of 1236973 to the nearest integer?
107
What is the fifth root of 1900003 to the nearest integer?
18
What is the square root of 6160724 to the nearest integer?
2482
What is 1256317 to the power of 1/3, to the nearest integer?
108
What is 462 to the power of 1/2, to the nearest integer?
21
What is the eighth root of 3159350 to the nearest integer?
6
What is 11162571 to the power of 1/7, to the nearest integer?
10
What is the third root of 1465182 to the nearest integer?
114
What is the cube root of 815887 to the nearest integer?
93
What is 1770109 to the power of 1/3, to the nearest integer?
121
What is 8133276 to the power of 1/5, to the nearest integer?
24
What is the cube root of 79800 to the nearest integer?
43
What is the fifth root of 206257 to the nearest integer?
12
What is the third root of 241432 to the nearest integer?
62
What is 5219141 to the power of 1/2, to the nearest integer?
2285
What is the square root of 15822938 to the nearest integer?
3978
What is 166853 to the power of 1/5, to the nearest integer?
11
What is the cube root of 33351443 to the nearest integer?
322
What is 2512887 to the power of 1/2, to the nearest integer?
1585
What is the square root of 24704 to the nearest integer?
157
What is 13884046 to the power of 1/3, to the nearest integer?
240
What is the cube root of 61166 to the nearest integer?
39
What is 74664 to the power of 1/3, to the nearest integer?
42
What is the square root of 302893 to the nearest integer?
550
What is the seventh root of 34661 to the nearest integer?
4
What is the square root of 1231980 to the nearest integer?
1110
What is 127871 to the power of 1/10, to the nearest integer?
3
What is the third root of 6083818 to the nearest integer?
183
What is the cube root of 464624 to the nearest integer?
77
What is the tenth root of 3829698 to the nearest integer?
5
What is the third root of 1023093 to the nearest integer?
101
What is 174133 to the power of 1/3, to the nearest integer?
56
What is 211290 to the power of 1/10, to the nearest integer?
3
What is 518777 to the power of 1/10, to the nearest integer?
4
What is the square root of 541733 to the nearest integer?
736
What is 3524746 to the power of 1/10, to the nearest integer?
5
What is 79441 to the power of 1/2, to the nearest integer?
282
What is 11208068 to the power of 1/3, to the nearest integer?
224
What is the fourth root of 88182 to the nearest integer?
17
What is 193035 to the power of 1/3, to the nearest integer?
58
What is the eighth root of 163499 to the nearest integer?
4
What is the fifth root of 412216 to the nearest integer?
13
What is 11131859 to the power of 1/4, to the nearest integer?
58
What is the third root of 44428939 to the nearest integer?
354
What is 672939 to the power of 1/3, to the nearest integer?
88
What is the square root of 2265054 to the nearest integer?
1505
What is the sixth root of 371153 to the nearest integer?
8
What is 13461085 to the power of 1/2, to the nearest integer?
3669
What is the seventh root of 64911 to the nearest integer?
5
What is the sixth root of 10015263 to the nearest integer?
15
What is the square root of 294559 to the nearest integer?
543
What is the square root of 2593458 to the nearest integer?
1610
What is 326780 to the power of 1/3, to the nearest integer?
69
What is the ninth root of 3230709 to the nearest integer?
5
What is the ninth root of 3511790 to the nearest integer?
5
What is 4324922 to the power of 1/2, to the nearest integer?
2080
What is 788067 to the power of 1/2, to the nearest integer?
888
What is the third root of 436879 to the nearest integer?
76
What is 2044712 to the power of 1/2, to the nearest integer?
1430
What is 3490377 to the power of 1/9, to the nearest integer?
5
What is the sixth root of 1432496 to the nearest integer?
11
What is the square root of 27253281 to the nearest integer?
5220
What is 321131 to the power of 1/3, to the nearest integer?
68
What is the square root of 7074693 to the nearest integer?
2660
What is the cube root of 593106 to the nearest integer?
84
What is 442558 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 147154 to the nearest integer?
5
What is 2314926 to the power of 1/3, to the nearest integer?
132
What is the square root of 7644388 to the nearest integer?
2765
What is the third root of 362456 to the nearest integer?
71
What is the eighth root of 480802 to the nearest integer?
5
What is 27468813 to the power of 1/3, to the nearest integer?
302
What is 117450 to the power of 1/3, to the nearest integer?
49
What is the cube root of 23023777 to the nearest integer?
284
What is 111300 to the power of 1/9, to the nearest integer?
4
What is 4533048 to the power of 1/3, to the nearest integer?
165
What is 3470968 to the power of 1/4, to the nearest integer?
43
What is the cube root of 2856532 to the nearest integer?
142
What is the square root of 1036530 to the nearest integer?
1018
What is the tenth root of 7034409 to the nearest integer?
5
What is the third root of 446611 to the nearest integer?
76
What is the ninth root of 5448178 to the nearest integer?
6
What is 111875 to the power of 1/2, to the nearest integer?
334
What is the tenth root of 59018 to the nearest integer?
3
What is 1759120 to the power of 1/3, to the nearest integer?
121
What is the cube root of 1909316 to the nearest integer?
124
What is the cube root of 23576562 to the nearest integer?
287
What is the cube root of 3435365 to the nearest integer?
151
What is the eighth root of 6248704 to the nearest integer?
7
What is the square root of 4267831 to the nearest integer?
2066
What is the fourth root of 19304759 to the nearest integer?
66
What is the third root of 11704 to the nearest integer?
23
What is the square root of 1677035 to the nearest integer?
1295
What is 154444 to the power of 1/3, to the nearest integer?
54
What is the fourth root of 1820172 to the nearest integer?
37
What is the cube root of 4353903 to the nearest integer?
163
What is the third root of 2846016 to the nearest integer?
142
What is the fourth root of 2689282 to the nearest integer?
40
What is the fourth root of 183917 to
|
{
"pile_set_name": "DM Mathematics"
}
|
a) 9 (b) 3 (c) 2
c
Which is the biggest value? (a) -3/14 (b) -5 (c) 0.4 (d) 1/3
c
What is the third biggest value in 0, -41, 83?
-41
What is the second smallest value in 19, 0.4, -9?
0.4
What is the third biggest value in 0.03, 8, 23?
0.03
Which is the second biggest value? (a) 0.185 (b) 1 (c) 4/7
c
What is the second biggest value in -4/3, -31, 1?
-4/3
What is the fourth biggest value in 3, 6/11, -9, -5, 0.2?
-5
Which is the fourth smallest value? (a) -98 (b) 4 (c) -4 (d) -0.5
b
What is the biggest value in -31, 1.4, 0.2, 0.1?
1.4
What is the biggest value in 1/6, -1/12, 0.35?
0.35
Which is the third biggest value? (a) -4 (b) -2/15 (c) -0.03 (d) 1/10
b
What is the fourth smallest value in 2/13, 2/17, 10, 3.4, -4?
3.4
Which is the second smallest value? (a) -5 (b) -7 (c) -1/2 (d) 15
a
Which is the third biggest value? (a) 2/9 (b) 5 (c) 10
a
What is the smallest value in 3.6, 0.3, -4?
-4
What is the fifth biggest value in 1/2, 2/17, 4/3, -2, 6?
-2
Which is the third biggest value? (a) -4 (b) 5 (c) 13/8
a
Which is the fourth smallest value? (a) -0.2 (b) -4/3 (c) -959 (d) -3/8
a
What is the second biggest value in -2, -15, 16?
-2
Which is the smallest value? (a) -1 (b) -3/7 (c) 0 (d) 0.5 (e) -9
e
What is the fourth biggest value in -1/5, 2/67, 6, 0.4?
-1/5
Which is the second smallest value? (a) 0.06 (b) 4 (c) 1 (d) 0
a
Which is the second smallest value? (a) -3 (b) -7 (c) 0.2 (d) 19
a
Which is the fourth smallest value? (a) 63 (b) -2 (c) -1/2 (d) -0.3
a
What is the biggest value in 0.1, -2/157, -4?
0.1
What is the biggest value in -0.2, 4/5, 2, -1, -3.5?
2
What is the smallest value in 1/9, 0, 2/5, 2/7?
0
What is the second biggest value in -1, -4, 159?
-1
What is the biggest value in -1, 2, 1/12?
2
Which is the fifth biggest value? (a) 0 (b) 1/6 (c) 1/2 (d) -1/94 (e) -5
e
What is the fourth smallest value in 0.3, -2/13, 2/3, -0.67?
2/3
Which is the second smallest value? (a) -0.2 (b) -1.67 (c) 4 (d) 1
a
What is the second biggest value in 4, 0.1, -9, 0.2, 7?
4
What is the second smallest value in -1, -1/2, 3, 0.2?
-1/2
What is the second biggest value in 0.4, 2/3, 0.1, 4/3?
2/3
Which is the third biggest value? (a) 1 (b) 4 (c) 2/19 (d) 3 (e) -28
a
Which is the third smallest value? (a) 7/2 (b) 4 (c) -1 (d) 2/11
a
Which is the second biggest value? (a) -119/3 (b) -0.4 (c) 1
b
What is the third smallest value in 2/19, -4/29, 2, -0.3?
2/19
What is the third biggest value in 0.2, 0.4, 5, 4, 0.11?
0.4
Which is the third biggest value? (a) 1/4 (b) -5 (c) 312
b
What is the second smallest value in 2/25, -1/6, 4, -2/5?
-1/6
Which is the fourth biggest value? (a) -3 (b) -4 (c) -0.049 (d) -0.4
b
What is the smallest value in 2/15, 49/2, -6/5, 0?
-6/5
Which is the fourth biggest value? (a) 0 (b) 0.17 (c) 1 (d) 5
a
What is the second smallest value in -69.8, 4, -0.5?
-0.5
Which is the biggest value? (a) 2/19 (b) -15 (c) -4/3 (d) 0
a
Which is the smallest value? (a) 2/7 (b) 0 (c) 1/6 (d) 0.2
b
What is the third smallest value in 2/7, -3, -4.3, 0.5?
2/7
Which is the third smallest value? (a) -8 (b) 3 (c) -1 (d) -0.4
d
What is the third smallest value in -0.5, -36, -0.1?
-0.1
What is the second biggest value in 3, -3, -12, 4?
3
Which is the fourth smallest value? (a) 0.5 (b) 0.4 (c) -2.4 (d) 11
d
Which is the second smallest value? (a) -0.06 (b) -1/4 (c) 3/4
a
What is the smallest value in -3/5, 24, -11?
-11
What is the smallest value in -0.05, -0.2, 17/4, 1/5?
-0.2
What is the biggest value in 5, -83, -1/5, 1, 3?
5
Which is the second smallest value? (a) 2/13 (b) -1 (c) 4/5 (d) -2/11
d
What is the third biggest value in 0, 180, -4, 3?
0
What is the second biggest value in 0.2, 1731, 2, -0.4, -5?
2
What is the third smallest value in 3/115, -1, 0.3?
0.3
Which is the second smallest value? (a) 0 (b) -0.11 (c) -1.8
b
What is the third smallest value in 2/31, 1, 0.4?
1
Which is the second biggest value? (a) -0.5 (b) 4/5 (c) -118
a
What is the third biggest value in -5, 0.7, 5, 0.4?
0.4
Which is the third biggest value? (a) -5 (b) -7 (c) -0.9
b
Which is the second smallest value? (a) -20 (b) -8 (c) 3
b
Which is the fourth smallest value? (a) -6.5 (b) -3 (c) 1 (d) -1/2 (e) -0.3
e
What is the third biggest value in -4, 0.4, 0.3, 35?
0.3
Which is the second biggest value? (a) 70 (b) 3 (c) 0.3
b
What is the biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
f t?
1
Let s = -14 - 35. Let x = -56 - s. Let r(y) = -17*y - 23. What is the units digit of r(x)?
6
Suppose 96*z - 5*w + 6329 = 97*z, 0 = -4*z - 8*w + 25388. What is the thousands digit of z?
6
What is the thousands digit of -3 + (-514773)/(-57) - (-42)/(-399)?
9
Suppose -2*r - 230 = -5*j, 0 = 4*j - 7*j - 3*r + 117. Let o(h) = -4*h**2 + 6*h**2 - 3 + j*h - 40*h. What is the units digit of o(8)?
7
Let c(h) = 0 + 1 - 2*h + 0*h + 0 - h**2. Let n be c(-3). What is the units digit of (178*3/12)/(n/(-4))?
9
Suppose 0*o + 5*r - 350 = -5*o, -8 = -2*r. Let c = 525 + o. What is the tens digit of c?
9
Suppose -9*w + 8*w + 1069 = 0. Suppose -i = -3*b + w, -2*i = -4*b - i + 1424. Suppose 5*j - b - 50 = 0. What is the units digit of j?
1
Let s(y) = -y**3 - 22*y**2 - 74*y - 235. What is the units digit of s(-28)?
1
Let v = 12719 - -2812. What is the hundreds digit of v?
5
Suppose 160150 = 5*r + 26*u - 21*u, r - 32034 = u. What is the units digit of r?
2
Let x(w) = 23*w**2 + 5*w - 392. What is the tens digit of x(-27)?
4
What is the units digit of (21*4/112)/(((-1)/16956)/(-1))?
7
Suppose -z + 9062 + 17650 = 17*z. What is the thousands digit of z?
1
Let c be ((-10)/(-15))/(2/30). Suppose -5*d + 18 + 32 = 4*u, -2*u = 0. Suppose -3*x + 5*l + 514 = 0, c = -d*l + 8*l. What is the hundreds digit of x?
1
Suppose -26*k + 25*k + 62 = 0. Suppose k*m - 64*m = -4. Suppose -2*h + 120 = -m*l, -3*h - 2*l + l = -192. What is the units digit of h?
3
Let t(x) = -2*x**3 - 11*x**2 - 11*x + 11. Let i = -2 - 5. What is the hundreds digit of t(i)?
2
Suppose -b = 3*r - 17388, -11592 = -50*r + 48*r - 5*b. What is the units digit of r?
6
What is the tens digit of (18/(-12))/(5 - 42/12) - -6735?
3
Suppose 0 = -2*t + 4*t - 10. Suppose -82*u + 498 = u. Suppose -s + o = 2*o, -t*o = -s + u. What is the units digit of s?
1
Suppose 3*t = -5*l + 2*l + 9, 2*t + 6 = 0. Suppose 3*h = p + 4, 0 = 3*h - l*h - 3*p. What is the units digit of (-78)/(((-6)/(-9))/(h/(-3)))?
9
Let c be -1 - (1 + 5*-1). Let o = 888 - 884. Suppose -4*q + 472 = -o*j, 16 = -j - c*j. What is the hundreds digit of q?
1
Let z(q) = q**2 + 2*q - 1. Let l(j) = -6*j**2 - 22*j + 26. Let x(f) = l(f) + 5*z(f). Let w be x(-15). What is the tens digit of (1264/w)/((30/9)/(-5))?
7
Let z(a) = a**3 - 2*a**2 + a - 1. Let v be z(1). Let j be -2 - (3 - (-1001)/v). Suppose -5*n + j = -114. What is the hundreds digit of n?
2
Let p be (360/14)/((72/(-56))/9). Let w = 495 + p. What is the tens digit of w?
1
What is the tens digit of 232*26 - (18 - 7)?
2
Let w be 13/(26/(-140)) - 5. Let u = w + 75. Let a = 22 + u. What is the units digit of a?
2
Let r(n) = n**3 + 10*n**2 + 8*n - 9. Let p be r(-9). Let i be (172/(-8))/((-2)/(p - 4)). Let u = 62 - i. What is the tens digit of u?
0
Suppose -3*m = -m - 18. Let i(u) = -m*u - 28 - 8*u + 0*u + 5*u. What is the units digit of i(-9)?
0
Let n = 84 + -94. What is the tens digit of ((-228)/n)/(114/380)?
7
Suppose -5*l - 836 = -2*q + 6740, q - 2*l - 3788 = 0. What is the tens digit of q?
8
Suppose 2*i - 17213 = 5*n, n - 17231 = -2*i - 0*n. Suppose 0 = -12*u + 1598 + i. What is the units digit of u?
1
Let p(o) = -o**3 - 27*o**2 - 34*o - 87. Suppose -g + 82 = -3*c + g, -2*g + 4 = 0. What is the tens digit of p(c)?
2
Suppose 2*b + 4 = 0, -3*y - 2 = 5*b + 20. Let a be 6 + 0 - y/(-1). Let j(m) = 15*m**2 - m - 2. What is the tens digit of j(a)?
5
Let o(n) = -2621*n**3 + 5*n**2 + n + 1. What is the hundreds digit of o(-1)?
6
Let k(t) = t**3 + 37*t**2 - 164*t + 27. What is the hundreds digit of k(13)?
3
Suppose 0 = 3*t - k - 8, -3*k = -t - 2*k. Suppose -t*p - 1074 = -3*f, -3*f = -7*f - p + 1432. What is the tens digit of f?
5
Let f = 209 - 20. Let u = f - 30. What is the hundreds digit of u?
1
Let q be (217/14)/(3/6). Let k = q - 30. What is the units digit of (4 + -1 + 4)/k?
7
Let z be -2*(-1)/2 + 58. Suppose -31*b - 5*h + 180 = -36*b, -2*b - 2*h = 84. Let k = b + z. What is the tens digit of k?
2
Suppose -7*o = -4*o + k - 5778, -k - 9630 = -5*o. Suppose -o*d + 1924*d + 794 = 0. What is the units digit of d?
7
Let q(i) = i**2 - 11*i. Let a be q(11). Suppose a = -5*z - 367 - 98. Let g = 162 + z. What is the units digit of g?
9
Suppose -1152 = 165*r - 173*r. Suppose -2*j + 108 = 2*d, 3*j - 5*d + 2*d = r. What is the units digit of j?
1
Let v(x) be the first derivative of 4*x**3/3 + 20*x**2 + 46*x + 65. What is the thousands digit of v(-22)?
1
Let p be ((-6)/(-10))/((-13)/(-455)). Let l = p - 8. Suppose 2*s - 2 = -x + l, -17 = -x - 4*s. What is the tens digit of x?
1
Suppose 2 = 9*i + 2. Suppose i = -9*o - 424 + 37. Let q = 139 + o. What is the tens digit of q
|
{
"pile_set_name": "DM Mathematics"
}
|
umber?
False
Is 50533429 a prime number?
True
Is 35863391 composite?
True
Is 2733947 a prime number?
True
Is 17129797 a prime number?
True
Is 1010850869 composite?
True
Is 2211589 a composite number?
True
Is 1748797 prime?
True
Is 161366189 composite?
False
Is 161146309 a composite number?
False
Is 17787907 a composite number?
False
Is 8358095 a prime number?
False
Is 20807687 a prime number?
True
Is 20564807 a composite number?
False
Is 168067 prime?
True
Is 327991 composite?
True
Is 261432631 a composite number?
False
Is 6033023 composite?
False
Is 4370182 a prime number?
False
Is 4251769 a composite number?
False
Is 706973 prime?
True
Is 124088773 a composite number?
False
Is 41242501 composite?
False
Is 154064401 composite?
False
Is 21155141 composite?
True
Is 21140807 a composite number?
False
Is 45189821 prime?
True
Is 380533 composite?
False
Is 20804935 a composite number?
True
Is 1161991 composite?
False
Is 782506559 a composite number?
False
Is 60145187 prime?
True
Is 2782643 a prime number?
True
Is 8943127 composite?
False
Is 11791111 a prime number?
False
Is 3912367 prime?
True
Is 107650733 composite?
False
Is 881351 a prime number?
True
Is 2218513 a prime number?
False
Is 5011249 prime?
True
Is 121020541 a composite number?
False
Is 1025383 a prime number?
True
Is 221099861 composite?
False
Is 1841435 prime?
False
Is 190979389 composite?
True
Is 116008421 composite?
False
Is 13156877 a composite number?
False
Is 607551559 prime?
False
Is 123299413 a composite number?
False
Is 1038226727 a composite number?
False
Is 28547507 composite?
True
Is 464843 prime?
True
Is 6782423 a prime number?
False
Is 1511357 prime?
False
Is 6907591 a composite number?
False
Is 24906817 prime?
False
Is 396157 a prime number?
True
Is 292979101 composite?
True
Is 25851809 a prime number?
False
Is 10028885 composite?
True
Is 47231687 prime?
True
Is 97773523 composite?
False
Is 99165057 prime?
False
Is 118921259 composite?
True
Is 21185614 prime?
False
Is 2910199 composite?
False
Is 453823283 composite?
False
Is 29532149 a composite number?
False
Is 209413 a prime number?
False
Is 4532951 prime?
True
Is 59118181 a prime number?
True
Is 9864457 prime?
True
Is 72028343 composite?
False
Is 10018579 composite?
True
Is 14699263 prime?
False
Is 10936781 prime?
True
Is 396757 a prime number?
False
Is 1354447 a composite number?
True
Is 43417427 prime?
False
Is 307817 a composite number?
False
Is 62916226 prime?
False
Is 38961289 a composite number?
True
Is 455810737 a prime number?
True
Is 438768367 a composite number?
False
Is 1082239 a composite number?
True
Is 195683533 a composite number?
False
Is 256338763 a composite number?
True
Is 9953711 composite?
False
Is 136829653 prime?
False
Is 160682251 prime?
True
Is 31851623 prime?
False
Is 390557 prime?
False
Is 14187059 composite?
False
Is 4103923 a composite number?
False
Is 4273251 a prime number?
False
Is 130529491 composite?
False
Is 54720959 composite?
False
Is 1318299533 a prime number?
False
Is 20406511 prime?
False
Is 2091041 prime?
False
Is 4765021 prime?
True
Is 48597469 composite?
True
Is 1191349 a prime number?
False
Is 14895989 prime?
True
Is 16764541 a prime number?
False
Is 9059069 composite?
True
Is 920609 composite?
False
Is 2326973 a prime number?
False
Is 2904133 a prime number?
True
Is 542413 a composite number?
True
Is 30911239 composite?
False
Is 1718903 prime?
False
Is 4425301 a prime number?
False
Is 196797 composite?
True
Is 2191438 prime?
False
Is 1424155 a composite number?
True
Is 37796431 a prime number?
False
Is 301749137 prime?
True
Is 8099283 prime?
False
Is 16606193 composite?
False
Is 2496719 a prime number?
False
Is 32525153 a composite number?
True
Is 76351613 a composite number?
True
Is 22379785 prime?
False
Is 52285309 a prime number?
True
Is 4026017 a prime number?
True
Is 8375417 a prime number?
False
Is 30935077 composite?
False
Is 4668847 prime?
False
Is 12623057 composite?
True
Is 32990039 a composite number?
False
Is 48047791 a prime number?
False
Is 14254937 prime?
True
Is 7897301 a composite number?
True
Is 78469847 composite?
False
Is 217522189 a prime number?
False
Is 21510263 composite?
False
Is 475044029 prime?
True
Is 338281613 a prime number?
False
Is 5873611 a prime number?
True
Is 3268833 a composite number?
True
Is 716523 a composite number?
True
Is 2821411 a prime number?
True
Is 2603617 prime?
True
Is 26740027 prime?
False
Is 2686421 a composite number?
True
Is 13695569 a composite number?
True
Is 486737509 a composite number?
False
Is 492287 composite?
True
Is 88708843 prime?
True
Is 3225803 a prime number?
False
Is 18628411 a composite number?
True
Is 61931 a composite number?
True
Is 46304861 prime?
False
Is 180132073 a composite number?
True
Is 3208721 composite?
False
Is 3735073 a prime number?
True
Is 31577587 prime?
True
Is 74992919 a prime number?
False
Is 1836259 prime?
True
Is 10159769 prime?
True
Is 428903303 composite?
False
Is 545047 prime?
False
Is 38549723 a composite number?
True
Is 25019413 prime?
False
Is 766903 a composite number?
True
Is 3264437 a composite number?
True
Is 1042009481 prime?
True
Is 23245621 composite?
True
Is 43499 a composite number?
False
Is 640585889 composite?
True
Is 141663151 prime?
False
Is 334386737 a composite number?
False
Is 799195 a composite number?
True
Is 32250161 composite?
False
Is 3902209 a prime number?
True
Is 1093562 a prime number?
False
Is 4474103 prime?
True
Is 56930695 composite?
True
Is 11939437 prime?
True
Is 460451 prime?
True
Is 60510871 composite?
True
Is 30562099 prime?
True
Is 629852551 composite?
False
Is 1415401 a prime number?
False
Is 20141591 composite?
False
Is 134683207 a composite number?
False
Is 151068845 a prime number?
False
Is 13700707 prime?
True
Is 6166663 a composite number?
True
Is 22496963 composite?
True
Is 2908949 prime?
False
Is 51944939 prime?
False
Is 70756219 a composite number?
True
Is 5928077 a composite number?
True
Is 78100327 composite?
False
Is 208013929 composite?
False
Is 2482633 a composite number?
True
Is 10777787 composite?
False
Is 976431 prime?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
e number?
True
Is 103214413 a composite number?
False
Is 751661 a prime number?
True
Is 7350803 composite?
True
Is 191257855 a prime number?
False
Is 459863 a composite number?
True
Is 44164019 a prime number?
True
Is 2031985 composite?
True
Is 7086539 composite?
True
Is 1251409 a prime number?
True
Is 463544321 a prime number?
False
Is 29224621 prime?
True
Is 2286409 a composite number?
True
Is 2943079 a composite number?
False
Is 23037782 a prime number?
False
Is 38981717 prime?
True
Is 358249 composite?
True
Is 72246233 composite?
True
Is 130278847 a prime number?
True
Is 83987197 a prime number?
False
Is 59193319 a composite number?
False
Is 1401625273 a composite number?
False
Is 92063953 a composite number?
False
Is 836894 prime?
False
Is 40368623 composite?
True
Is 2580973 a composite number?
False
Is 709649 prime?
True
Is 1187859 prime?
False
Is 219699589 a prime number?
False
Is 1651079 composite?
True
Is 30727 a prime number?
True
Is 994613 prime?
False
Is 8790731 a prime number?
False
Is 44276291 a composite number?
True
Is 1767593 prime?
True
Is 122641 a composite number?
True
Is 4814489 a composite number?
False
Is 2954841 composite?
True
Is 61566269 composite?
False
Is 24089963 composite?
True
Is 1928753 prime?
True
Is 150179609 prime?
False
Is 55034449 a composite number?
False
Is 17213413 a composite number?
True
Is 7923037 a prime number?
False
Is 6348623 a composite number?
False
Is 2594803 a prime number?
True
Is 19604381 prime?
True
Is 787507 a composite number?
True
Is 106487 a prime number?
True
Is 693942077 a prime number?
False
Is 33083101 composite?
False
Is 4319899 a prime number?
False
Is 1010167 a composite number?
False
Is 74008499 composite?
True
Is 15058961 a composite number?
False
Is 90397679 a composite number?
False
Is 3445349 prime?
False
Is 350401013 prime?
True
Is 343264157 composite?
False
Is 30650485 prime?
False
Is 12656947 prime?
False
Is 12422581 a prime number?
True
Is 63664001 a prime number?
True
Is 7732493 composite?
False
Is 6394391 a prime number?
False
Is 299867119 a prime number?
False
Is 9741443 a prime number?
False
Is 103790315 a composite number?
True
Is 7187189 a prime number?
True
Is 442289 a composite number?
True
Is 3010145 prime?
False
Is 96893 composite?
False
Is 224705183 a composite number?
True
Is 802354537 a prime number?
True
Is 142975439 composite?
False
Is 2922041 a prime number?
True
Is 6815447 a prime number?
True
Is 2448809 a prime number?
False
Is 13687549 prime?
True
Is 257151161 composite?
False
Is 126283301 composite?
False
Is 2447633 a composite number?
False
Is 196047419 a prime number?
False
Is 6233491 a composite number?
True
Is 106745747 composite?
False
Is 1806257 composite?
True
Is 1446199 a composite number?
True
Is 8297959 prime?
False
Is 60735369 composite?
True
Is 6985669 a prime number?
False
Is 557153 prime?
True
Is 4711331 composite?
False
Is 160447 a composite number?
True
Is 13572361 prime?
False
Is 1308157 composite?
False
Is 4501447 a prime number?
False
Is 5135983 composite?
False
Is 42512219 a composite number?
False
Is 96630623 prime?
True
Is 8888305 a prime number?
False
Is 12019727 a composite number?
True
Is 5311381 composite?
False
Is 4151089 a prime number?
False
Is 34019 composite?
False
Is 772438 prime?
False
Is 213207109 prime?
True
Is 18680141 composite?
False
Is 2779519 a composite number?
True
Is 16477889 composite?
False
Is 3498359 a composite number?
False
Is 162569 a composite number?
True
Is 98051581 prime?
False
Is 561118711 composite?
True
Is 17860729 a composite number?
True
Is 1082335997 composite?
False
Is 1146179 prime?
True
Is 1121079 a prime number?
False
Is 241734137 a composite number?
True
Is 199337 a composite number?
False
Is 44981293 prime?
False
Is 3718651 composite?
False
Is 53196323 a composite number?
False
Is 192677453 a composite number?
True
Is 334517 a prime number?
False
Is 8144419 a prime number?
False
Is 23519845 a prime number?
False
Is 38202481 a composite number?
False
Is 10290461 a prime number?
False
Is 28753133 a prime number?
True
Is 45188987 a prime number?
True
Is 5191597 a prime number?
True
Is 348786133 composite?
False
Is 13022297 composite?
True
Is 356605723 prime?
False
Is 1658557 a prime number?
False
Is 12332401 composite?
True
Is 5588293 composite?
True
Is 411547699 a prime number?
False
Is 5748005 composite?
True
Is 19216123 a composite number?
True
Is 37321343 a composite number?
False
Is 166997009 a prime number?
True
Is 141014581 a prime number?
True
Is 2643569 a composite number?
False
Is 463468373 a prime number?
True
Is 22006711 composite?
False
Is 685073 composite?
False
Is 140219 a prime number?
False
Is 30937169 composite?
True
Is 20589707 a composite number?
False
Is 209700191 prime?
False
Is 20597963 a composite number?
False
Is 7528187 prime?
False
Is 22247605 composite?
True
Is 2458067 prime?
False
Is 460073 composite?
False
Is 1102184249 a composite number?
False
Is 4153943 composite?
False
Is 87717397 a prime number?
True
Is 4893719 prime?
False
Is 7623827 a prime number?
False
Is 210733 a prime number?
False
Is 2200097 a prime number?
False
Is 883801 a composite number?
True
Is 102132031 a prime number?
True
Is 15913607 a composite number?
True
Is 38768461 prime?
True
Is 4051939 composite?
False
Is 5740073 a prime number?
True
Is 1137547 a prime number?
True
Is 192971 prime?
True
Is 34522093 a prime number?
False
Is 9805865 composite?
True
Is 25053947 a prime number?
True
Is 17653681 prime?
True
Is 2963893 a composite number?
True
Is 148677 a prime number?
False
Is 1335977 prime?
True
Is 3388207 prime?
False
Is 3330421 a prime number?
True
Is 23608049 a prime number?
True
Is 134983 prime?
False
Is 14669567 prime?
False
Is 54247463 composite?
False
Is 1708159 composite?
False
Is 153686693 composite?
False
Is 13998035 a composite number?
True
Is 10679969 composite?
True
Is 269068919 a prime number?
False
Is 7593947 a composite number?
True
Is 5120381 a composite number?
True
Is 1217647 a composite number?
False
Is 89830619 a prime number?
True
Is 176984455 a composite number?
True
Is 45483457 prime?
False
Is 33082157 a prime number?
True
Is 5872681 a composite
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate v(2).
-24
Let o = -23034 - -23027. Let z(y) be the third derivative of -y**6/120 - y**5/10 + y**4/3 + 4*y**3/3 - 5*y**2. Calculate z(o).
1
Let m(a) be the third derivative of -a**5/12 - a**4/4 + a**3/6 + 14*a**2 + 56*a. Determine m(-2).
-7
Let n(q) be the first derivative of -q**4/2 - 4*q**3/3 - q**2 + 2*q - 36. Let x be (9/3)/((-18)/12). Calculate n(x).
6
Suppose -5*j - 7*j + 1416 = 0. Suppose 0 = j*v - 117*v + 3. Let a(n) = -n**2 + n + 3. What is a(v)?
-9
Let n(b) = -5*b**3 + 26*b + 1. Let d(o) = -24*o**3 + 35*o**2 + 198*o + 75. Let i(q) = -d(q) + 5*n(q). What is i(-33)?
-4
Let z(b) = -b**3 - 3*b**2 - 4*b + 1. Let j be z(-2). Suppose -2*o - p + 29 = 0, 0*o - 4*o = j*p - 73. Let q(t) = t**2 - 12*t - 7. What is q(o)?
-7
Let i(c) = 18*c**2 - 19*c**2 + c - 1 + 3*c. Let u be i(3). Let t(a) = -2*a - 2. Give t(u).
-6
Let i(u) = -u**3 - 7*u**2 - 8*u - 7. Let x = 121 - 137. Let n(k) = k**2 + 16*k + 17. Let z be n(x). Let s = z - 22. What is i(s)?
-17
Let r(i) be the second derivative of i**3 - 19*i**2/2 + i - 1181. Determine r(-9).
-73
Let z(k) be the third derivative of -k**6/40 - 2*k**5/5 - k**3/6 - k**2 + 94. Determine z(-8).
-1
Suppose -2*a = c - 10, 3*c - 19 - 7 = -4*a. Let y(h) = -18*h + 124. What is y(c)?
16
Let d(g) = 4*g**2 + 4*g + 3. Let r(a) = 60*a**3 - 25*a**3 + 47*a**3 - 8*a**3. Let l be r(1). Let m = -76 + l. What is d(m)?
11
Let d = -9274 - -9268. Let c(i) = 9*i**3 + 19*i**2 + 13*i + 5. Let p(r) = 5*r**3 + 10*r**2 + 7*r + 2. Let y(t) = 4*c(t) - 7*p(t). What is y(d)?
-12
Suppose 0 = -3*k - 14*n + 17*n + 3, n = 6. Let o(t) = t**2 + 5*t + 2. Calculate o(k).
86
Suppose 139*u + 2*v + 17 = 130*u, u = 5*v + 19. Let k(h) = -49*h**3 + h**2 + h + 1. Calculate k(u).
50
Suppose 404*v - 406*v = -20. Let w(d) = -10 - 4 + d + v. Determine w(0).
-4
Let x(f) = 51*f**2 - 1171*f - 16. Let b be x(23). Let l(c) = -c**3 + 30*c**2 + c - 28. Give l(b).
2
Suppose 4*c + 4 = 3*c. Let y(m) be the second derivative of 61*m - m**3 - 3/2*m**2 + 0. Determine y(c).
21
Let p(m) be the second derivative of -99*m + 15/2*m**2 + 1/6*m**3 + 0. Calculate p(0).
15
Let a(g) = -g - 1. Let y(t) = -2*t**3 - 11*t**2 + 3*t + 2. Let h(p) = -3*a(p) + y(p). Let q be (-7774)/1352 - (-1)/(-4). Determine h(q).
5
Let t(o) = -5*o - 14. Let b(i) = -7*i**2 + 7*i + 12. Let n be b(2). Determine t(n).
-4
Let o(g) be the first derivative of g**4/4 - 32*g**3/3 - 61*g**2/2 - 239*g - 8532. Determine o(34).
-1
Let r(o) be the third derivative of -o**6/120 + o**5/15 + 3*o**4/8 - o**3/6 - 595*o**2. Determine r(6).
-19
Let f(z) = 13*z + 1. Let y(n) = -80*n + 40. Let o(l) = -6*f(l) - y(l). Determine o(16).
-14
Let p(t) = 7*t**2 + 8*t - 10. Let l(f) = 6*f**2 + 8*f - 8. Let s(h) = -6*l(h) + 5*p(h). Let q = 92 - 99. Determine s(q).
5
Let z(q) be the second derivative of 0 + 0*q**2 + q + 1/6*q**3. Let j(s) = s**2 + 3*s + 3. Let c(w) = j(w) + 5*z(w). Give c(-8).
3
Let t(b) = 9*b**3 + b**2 - b + 1. Let g(o) = 55*o**3 - 5*o + 12. Let h(w) = -g(w) + 6*t(w). Calculate h(6).
-12
Let r = -2 - -1. Let o = 72 - 68. Let k(a) = -7*a - 2*a - 8*a**2 + o*a + 3*a - 1. Determine k(r).
-7
Let y(v) be the third derivative of -v**5/60 + v**4/8 + v**3/3 - 6*v**2. Let h = 194 + -192. Suppose 0 = 2*k + 3*k + 2*g - 30, h*g - 10 = 0. Calculate y(k).
-2
Let k(j) = 3*j**3 + 7*j**2 - 5*j + 1. Let c be k(2). Let i = 36 - c. Let v(p) = 3*p + 3. Calculate v(i).
-18
Let q(o) = -4*o**2 - 3*o + 7. Let h(l) = 1. Let m = 78 + -72. Let u(g) = m*h(g) - q(g). Determine u(2).
21
Let a(l) be the first derivative of 1/4*l**4 + 3/2*l**2 + 3*l + l**3 + 36. What is a(-2)?
1
Let w(d) = -4*d - 2. Let v be -5 + 0 + (-248)/36 + (-41)/369. Let z(q) = q**3 + 6*q**2 - 1. Let h be z(-6). Let k be -6*(h + v/(-8)). Give w(k).
10
Let j(n) be the third derivative of -n**4/24 + n**3/2 - n**2. Let f = 1015 - 1015. Let v be f/1*26/130. Determine j(v).
3
Let n(k) = 245*k**2 + 735*k + 2. Let h be n(-3). Let y(p) = -6*p**2 + p - 2. Calculate y(h).
-24
Let i(s) = -9*s**2 - 10*s
|
{
"pile_set_name": "DM Mathematics"
}
|
. Round t to six decimal places.
0.000006
Let r = -29299033096.6997291 + 17527351639.69972961. Let f = 11771681364 + r. Let v = -93 - f. Round v to seven dps.
-0.0000005
Let n = 32.24 + -27. Let r = n + -5. Let a = r - -0.4. Round a to 1 decimal place.
0.6
Suppose -25 - 3 = -7*n. Let t be (169/3 + -3)*2250/n. Round t to the nearest one hundred thousand.
0
Suppose -7*x - 17500 = -11*x. Let m be (x/(-14))/((-2)/26048). Round m to the nearest one hundred thousand.
4100000
Let a be 6*3/((-54)/(-15)). Suppose -a*o = -2 + 7. Let l = -79 + o. What is l rounded to the nearest one hundred?
-100
Let a = 0.1127 - 17.5327. Let z = a - -0.42. Let y = z + 17.0002. What is y rounded to 4 dps?
0.0002
Let w = 851 - 851.00001944. What is w rounded to 5 decimal places?
-0.00002
Let c(u) = u**2 - 12*u + 4. Let m be c(12). Suppose 3*x - 2*x = m. Suppose y + x*y = 340000. Round y to the nearest 10000.
70000
Let l = 18 - 17.995. Let i = -0.0049889 + l. Round i to 6 dps.
0.000011
Suppose 8*j - 5*j = -66. Let q(b) = 26*b**2 - 21*b + 54. Let z be q(j). Round z to the nearest 1000.
13000
Let a = 0.049 + -0.03. Let s = a - -4.881. Round s to the nearest integer.
5
Let w = 222.99999272 + -223. Round w to 7 decimal places.
-0.0000073
Let o(n) = -58*n**2 - 12*n + 7. Let a be o(-9). Let i = a + 1683. Round i to the nearest one hundred.
-2900
Let d = -0.133 - 74.867. Let x = -36 - d. Let k = -38.9918 + x. Round k to 3 decimal places.
0.008
Let o(c) = 2*c**3 - 2*c**2 + 5*c - 2. Let s be o(2). Let i(h) = s*h - 1 + 19*h + 28*h. Let p be i(-3). Round p to the nearest ten.
-190
Let b = 35.66 + -0.66. Let v = -35.042 + b. Round v to two decimal places.
-0.04
Let n = 51836 - 90436. What is n rounded to the nearest 10000?
-40000
Suppose q + 5*j = 154, 5*j + 94 = q - 20. Let w = 36 + q. What is w rounded to the nearest one hundred?
200
Let d = 777.000371 + -777. What is d rounded to 4 decimal places?
0.0004
Let w = -275.000000852 + 275. Round w to 7 decimal places.
-0.0000009
Let z = -34.48 - -35. Let q = -0.52014 + z. Round q to 5 decimal places.
-0.00014
Let j = 717091.1 + -116094.1. Let z = j - 601028.9931. Let x = z - -32. Round x to three dps.
0.007
Let m(x) = 12*x**2 - 29*x - 18. Suppose b + t - 6 = 16, 2*t = 2*b - 40. Let d be m(b). Let w = d + -2365. What is w rounded to the nearest 1000?
2000
Let u = -271 + 271.0763. Round u to 3 dps.
0.076
Let q(p) = -2*p + 96. Let b be q(0). Suppose b = t - 46. Suppose -138 - t = -y. Round y to the nearest one hundred.
300
Let s = -16.95 + 16.94997786. What is s rounded to 6 decimal places?
-0.000022
Let l = -245372 - -144336. Let q = l + 592036. What is q rounded to the nearest 100000?
500000
Let i = -55 + 23.66. What is i rounded to the nearest integer?
-31
Let l = 5.606 - 3.46. Round l to 0 dps.
2
Suppose 0 = 4*w + 5*h - 6596015, 2*h = 2*w - 2557840 - 740154. Round w to the nearest 10000.
1650000
Let v = 72.58 - 0.58. Let s = 71.17 - v. What is s rounded to 1 decimal place?
-0.8
Let b = -0.01545692 - -0.0155. Round b to six decimal places.
0.000043
Suppose 15*g + 612176 - 5502176 = 0. What is g rounded to the nearest 100000?
300000
Let g = -2 - -2.017. Let l = -569.483171 - -569.5. Let z = l - g. What is z rounded to five dps?
-0.00017
Let z = -0.04 - 9.96. Let p = z - -7.6. Round p to the nearest integer.
-2
Let d = -0.016 - -0.094. Let r = 0.0779886 - d. Round r to 6 decimal places.
-0.000011
Suppose 10*i = 12 + 8, 3*x - 2*i = 97016. Round x to the nearest one thousand.
32000
Suppose -i - 502255 = -5*n, 6*n + 301365 = 9*n - 3*i. Round n to the nearest one thousand.
100000
Let j = -115 - -62. Let k = j + 57.9. Round k to the nearest integer.
5
Let l(y) = -18*y - 28. Let h be l(13). What is h rounded to the nearest ten?
-260
Let n = -547.0004928 + 547. Round n to 4 dps.
-0.0005
Suppose -4*a - 5*y + 3*y = -236, 4*a - 238 = -3*y. Let m = a - 58. Round m to the nearest 10.
0
Let i = 0.05202 + -0.0669. What is i rounded to three dps?
-0.015
Let v = -459 - 957. Round v to the nearest 100.
-1400
Let l be 7239248/20 - 2/5. Let k = 296712 + l. Suppose -3*r - x - 4261328 = k, 3*x + 6 = 0. Round r to the nearest 100000.
-1600000
Let i = 1866 - 1096. Suppose -3*p + i - 4220 = 0. What is p rounded to the nearest 100?
-1200
Let x = 801.4 + -702. Let i = 111.38 - x. Let v = 12 - i. Round v to three decimal places.
0.02
Let t(b) = -1620*b**2 + 20. Let z be t(-4). Round z to the nearest 1000.
-26000
Let g = 0.3 - 1.8. Let b = g + 6.2. Round b to the nearest integer.
5
Suppose -2*m - 7432386 = r, 5*m = -r + 4*r + 22297103. Let t = r - -4932376. Round t to the nearest one million.
-3000000
Suppose o = -o + 30. Let r = o - 17. Let m be (-7 + 80007)/(r/(-90)). Round m to the nearest 1000000.
4000000
Let d(b) = -11*b**2 + 217*b + 14. Let o be d(-14). Round o to the nearest 100.
-5200
Let f = 31.698305 + -31.7. Round f to four decimal places.
-0.0017
Let d = -82.36 + 80. Let t = -2.2 - d. Let u = t - -2.04. What is u rounded to 0 decimal places?
2
Let o = 6878 - 7514.1. Round o to the nearest 100.
-600
Let j =
|
{
"pile_set_name": "DM Mathematics"
}
|
M?
56
How many minutes are there between 11:00 PM and 11:19 PM?
19
How many minutes are there between 12:52 AM and 1:27 AM?
35
What is 341 minutes before 9:19 PM?
3:38 PM
What is 92 minutes after 9:00 PM?
10:32 PM
How many minutes are there between 5:27 AM and 3:36 PM?
609
How many minutes are there between 6:11 PM and 7:48 PM?
97
What is 549 minutes before 4:44 PM?
7:35 AM
What is 298 minutes after 6:02 AM?
11:00 AM
How many minutes are there between 4:31 PM and 11:34 PM?
423
How many minutes are there between 7:58 AM and 9:42 AM?
104
What is 92 minutes after 5:07 AM?
6:39 AM
What is 137 minutes before 11:57 PM?
9:40 PM
How many minutes are there between 4:46 PM and 8:01 PM?
195
What is 430 minutes after 11:24 PM?
6:34 AM
How many minutes are there between 7:46 AM and 1:18 PM?
332
How many minutes are there between 4:13 AM and 10:57 AM?
404
How many minutes are there between 9:51 AM and 2:04 PM?
253
How many minutes are there between 8:45 PM and 2:07 AM?
322
What is 457 minutes after 1:32 AM?
9:09 AM
How many minutes are there between 10:00 AM and 5:00 PM?
420
How many minutes are there between 2:59 PM and 2:41 AM?
702
How many minutes are there between 6:06 AM and 3:23 PM?
557
How many minutes are there between 11:36 PM and 6:30 AM?
414
What is 104 minutes after 3:43 AM?
5:27 AM
What is 705 minutes before 12:25 PM?
12:40 AM
What is 327 minutes after 12:12 PM?
5:39 PM
How many minutes are there between 3:43 PM and 10:24 PM?
401
What is 310 minutes after 7:35 PM?
12:45 AM
How many minutes are there between 7:10 AM and 8:38 AM?
88
How many minutes are there between 2:35 PM and 12:20 AM?
585
What is 51 minutes after 2:09 PM?
3:00 PM
What is 260 minutes after 1:25 AM?
5:45 AM
What is 142 minutes after 3:55 PM?
6:17 PM
How many minutes are there between 5:55 PM and 5:16 AM?
681
What is 387 minutes after 11:03 PM?
5:30 AM
What is 672 minutes after 5:40 PM?
4:52 AM
What is 697 minutes before 11:53 PM?
12:16 PM
What is 371 minutes after 11:43 AM?
5:54 PM
What is 468 minutes after 3:16 AM?
11:04 AM
What is 430 minutes before 9:31 PM?
2:21 PM
How many minutes are there between 11:00 AM and 1:06 PM?
126
How many minutes are there between 5:32 AM and 1:08 PM?
456
How many minutes are there between 11:26 AM and 1:51 PM?
145
How many minutes are there between 8:15 AM and 5:58 PM?
583
How many minutes are there between 1:16 PM and 12:35 AM?
679
What is 444 minutes before 6:42 AM?
11:18 PM
How many minutes are there between 7:33 AM and 5:50 PM?
617
What is 144 minutes after 3:49 AM?
6:13 AM
How many minutes are there between 6:28 PM and 1:06 AM?
398
What is 558 minutes before 10:45 PM?
1:27 PM
How many minutes are there between 3:35 PM and 6:50 PM?
195
How many minutes are there between 1:29 AM and 5:44 AM?
255
What is 705 minutes after 1:33 AM?
1:18 PM
What is 204 minutes before 6:30 PM?
3:06 PM
How many minutes are there between 4:56 PM and 6:57 PM?
121
What is 386 minutes after 1:20 AM?
7:46 AM
How many minutes are there between 4:09 AM and 2:19 PM?
610
How many minutes are there between 2:20 AM and 11:06 AM?
526
What is 155 minutes after 4:44 PM?
7:19 PM
How many minutes are there between 11:25 PM and 6:34 AM?
429
How many minutes are there between 2:05 AM and 11:35 AM?
570
What is 501 minutes after 12:11 PM?
8:32 PM
What is 148 minutes before 10:15 PM?
7:47 PM
What is 458 minutes after 8:53 AM?
4:31 PM
What is 372 minutes after 12:21 PM?
6:33 PM
What is 33 minutes after 8:32 PM?
9:05 PM
What is 341 minutes after 11:24 AM?
5:05 PM
What is 359 minutes after 10:33 AM?
4:32 PM
What is 44 minutes before 11:51 AM?
11:07 AM
What is 414 minutes after 9:15 AM?
4:09 PM
How many minutes are there between 10:30 PM and 7:16 AM?
526
How many minutes are there between 5:41 AM and 8:56 AM?
195
What is 710 minutes before 10:34 PM?
10:44 AM
How many minutes are there between 5:32 AM and 10:34 AM?
302
What is 552 minutes after 9:35 AM?
6:47 PM
How many minutes are there between 9:08 AM and 5:42 PM?
514
How many minutes are there between 8:26 PM and 8:13 AM?
707
What is 56 minutes before 12:57 PM?
12:01 PM
What is 142 minutes after 12:29 AM?
2:51 AM
How many minutes are there between 12:40 PM and 10:58 PM?
618
What is 260 minutes after 10:36 AM?
2:56 PM
What is 36 minutes after 1:49 AM?
2:25 AM
How many minutes are there between 4:15 AM and 2:10 PM?
595
What is 663 minutes after 4:48 PM?
3:51 AM
How many minutes are there between 1:11 PM and 1:10 AM?
719
How many minutes are there between 9:54 PM and 9:15 AM?
681
How many minutes are there between 10:46 AM and 7:38 PM?
532
What is 454 minutes before 7:27 AM?
11:53 PM
What is 266 minutes after 3:04 AM?
7:30 AM
What is 644 minutes after 7:39 PM?
6:23 AM
What is 620 minutes before 1:46 AM?
3:26 PM
How many minutes are there between 4:48 AM and 12:11 PM?
443
What is 504 minutes before 3:48 AM?
7:24 PM
How many minutes are there between 5:59 PM and 7:08 PM?
69
How many minutes are there between 11:25 AM and 10:01 PM?
636
How many minutes are there between 8:13 PM and 1:22 AM?
309
How many minutes are there between 4:19 AM and 1:03 PM?
524
How many minutes are there between 3:07 PM and 5:19 PM?
132
How many minutes are there between 2:00 PM and 7:28 PM?
328
What is 458 minutes before 11:49 AM?
4:11 AM
What is 137 minutes after 9:28 PM?
11:45 PM
What is 14 minutes before 4:05 PM?
3:51 PM
What is 591 minutes after 1:44 PM?
11:35 PM
What is 39 minutes before 2:01 PM?
1:22 PM
What is 428 minutes before 3:34 AM?
8:26 PM
How many minutes are there between 11:49 AM and 12:16 PM?
27
How many minutes are there between 8:24 AM and 10:43 AM?
139
What is 641 minutes before 3:29 AM?
4:48 PM
How many minutes are there between 1:00 PM and 8:08 PM?
428
How many minutes are there between 3:38 PM and 10:05 PM?
387
What is 468 minutes before 11:23 AM?
3:35 AM
What is 264 minutes after 10:56 PM?
3:20 AM
How many minutes are there between 4:13 PM and 11:50 PM?
457
How many minutes are there between 9:32 AM and 6:51 PM?
559
How many minutes are there between 5:42 AM and 3:02 PM?
560
What is 317 minutes before 2:02 AM?
8:45 PM
What is 568 minutes after
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in 2 + c**2 + 25 - 354*c - 3*c**2 - 25.
-2*c**2 - 354*c + 2
Collect the terms in 2*s + 264736373 - 264736373.
2*s
Collect the terms in 33*v**2 - 31*v**2 + 58*v**2 + 275*v**3 - 1303*v**3.
-1028*v**3 + 60*v**2
Collect the terms in -561*a**3 + 645*a**2 - 89*a**3 - 297*a**3 - 645*a**2.
-947*a**3
Collect the terms in 6221 - 6221 + 8054*d.
8054*d
Collect the terms in -248458 - 81*k**3 - 9*k**2 + 248458 + 2*k - 3*k.
-81*k**3 - 9*k**2 - k
Collect the terms in 522*m**2 - 664*m**2 + 953*m**2.
811*m**2
Collect the terms in 3 + 0 - 686976*s - 3.
-686976*s
Collect the terms in 110*j + 2*j**2 - 50*j - 3*j**2 + 38 + 0*j**2 - 58*j.
-j**2 + 2*j + 38
Collect the terms in -570*x + 3 - 7 - 17 + 3.
-570*x - 18
Collect the terms in -3212*c + 1606*c - 709*c - 2126*c.
-4441*c
Collect the terms in -141213*q**2 - 140524*q**2 + 281733*q**2 + 6*q.
-4*q**2 + 6*q
Collect the terms in 16568729 - 3636*t - 16568729.
-3636*t
Collect the terms in 140 - 290 + 150 + 2642*h.
2642*h
Collect the terms in -7397*u - 4052*u + 5542*u - 16436*u.
-22343*u
Collect the terms in -2010 - 739*v**2 - 1522 + 11*v - 11*v.
-739*v**2 - 3532
Collect the terms in -85826 + 15*p - 41*p**2 + 85826.
-41*p**2 + 15*p
Collect the terms in -51*g + 153*g + 154*g - 265*g.
-9*g
Collect the terms in -24*c + 6121303 - 6121303 + 25*c.
c
Collect the terms in 373888*o - 2394142*o - 11487364*o.
-13507618*o
Collect the terms in 426*p**3 + 436*p**2 - 1318*p**2 + 140*p**3 + 442*p**2 + 4*p - 5*p + 438*p**2.
566*p**3 - 2*p**2 - p
Collect the terms in -1457*m**2 + 607*m**2 + 907*m**2.
57*m**2
Collect the terms in -410915 + 281*z + 410915 - 7*z**2.
-7*z**2 + 281*z
Collect the terms in -2*u**3 + 0*u**3 - 5206*u**2 + 5180*u**2 + 3.
-2*u**3 - 26*u**2 + 3
Collect the terms in 1286*n - 776*n - 54*n + 1164*n + 1389*n.
3009*n
Collect the terms in 116505*b**2 - 58226*b**2 - 58266*b**2.
13*b**2
Collect the terms in 22*s**3 + 22*s**2 + 25*s**2 - 1486*s**2 + 25*s**2 + 1414*s**2.
22*s**3
Collect the terms in 25 - 2205*y**3 + 13 - 38 + 1113*y**3 + 1090*y**3.
-2*y**3
Collect the terms in 1224*f - 933*f**2 - 54*f + 974*f**2 - 2.
41*f**2 + 1170*f - 2
Collect the terms in -13132*k + 3286*k + 3274*k + 3275*k + 3275*k.
-22*k
Collect the terms in 93234029559922 + 6*b - 93234029559922.
6*b
Collect the terms in 11781*d + 31667*d + 18054*d + 58332*d.
119834*d
Collect the terms in -997*t - 958*t - 999*t - 2 + 2954*t - 23*t**3.
-23*t**3 - 2
Collect the terms in -2842*h - 3057 + 3044 + 2842*h + 2*h**2.
2*h**2 - 13
Collect the terms in 3 - 2*t**3 - 6209*t - 303*t**2 - 5555*t + 11764*t.
-2*t**3 - 303*t**2 + 3
Collect the terms in 752*s + 791*s - 36 + 770*s - 2331*s.
-18*s - 36
Collect the terms in -1444*r**3 - 1337*r**3 + 2822*r**3.
41*r**3
Collect the terms in 1468*k + 1209*k + 1229*k - 844*k.
3062*k
Collect the terms in -253*a - 242 + 254*a + 264 - 144.
a - 122
Collect the terms in 18*v**2 - 18*v**2 - 16 - 42278*v**3.
-42278*v**3 - 16
Collect the terms in j**3 - 5*j**3 - 30 + 1013*j**2 - 198*j**2 + 28 + 3*j**3.
-j**3 + 815*j**2 - 2
Collect the terms in -23945*w + 71831*w - 23902*w - 23944*w.
40*w
Collect the terms in 183821635203*h - 193*h**3 - 183821635203*h + 54*h**3.
-139*h**3
Collect the terms in 487578 - 975157 - 13*s**2 + 487579.
-13*s**2
Collect the terms in -4*y**3 + 14*y**3 - 19614 + 9792 + 9822.
10*y**3
Collect the terms in -383647 + 127733 + g + 127716 + 128198.
g
Collect the terms in -1003570*z**2 - 33 + 33.
-1003570*z**2
Collect the terms in -266*w**3 - 232*w**3 - 250*w**3 + 1009*w**3 - 239*w**3.
22*w**3
Collect the terms in 36389271*z**3 - 30831603*z**3 + 106749481*z**3.
112307149*z**3
Collect the terms in 281094 + 281086 + 2*u**2 + 281092 - u**3 - 843272.
-u**3 + 2*u**2
Collect the terms in 107701*r - 53823*r - 53555*r.
323*r
Collect the terms in 8*u + 126*u**3 - 33*u - u**2 + 9*u.
126*u**3 - u**2 - 16*u
Collect the terms in 1334*u**3 - 2248*u**3 - 2879*u**3.
-3793*u**3
Collect the terms in 10*x**3 - 225756 - 225584 + 451340.
10*x**3
Collect the terms in q - 2798 + 2*q + 780.
3*q - 2018
Collect the terms in -4227*i**3 + 1714*i**3 + 3 + 2511*i**3.
-2*i**3 + 3
Collect the terms in 58 + 139156*g**2 - 118 + 61.
139156*g**2 + 1
Collect the terms in -130428 - 3*q + 929*q**3 - 5*q + 130428 + 8*q.
929*q**3
Collect the terms in 690*t**3 - 11955422
|
{
"pile_set_name": "DM Mathematics"
}
|
360 = 0. Calculate z.
-3, -12/235, 39
Suppose t**4/3 - 822853*t**3/3 + 5759873*t**2 - 120956647*t/3 + 282231376/3 = 0. Calculate t.
7, 822832
Let -3*b**3 - 10338*b**2 + 270609*b - 718704 = 0. Calculate b.
-3472, 3, 23
Suppose -4*r**2/5 - 2227984*r - 1551222720080 = 0. What is r?
-1392490
Solve -v**3/4 + 72759*v**2/4 + 90954*v + 72764 = 0.
-4, -1, 72764
Factor 2*u**2/3 + 289340*u/3 - 289342/3.
2*(u - 1)*(u + 144671)/3
Find i such that 5*i**4 - 10560*i**3 + 467335*i**2 - 4665960*i - 11285820 = 0.
-2, 21, 26, 2067
Find r such that -4*r**4 - 10563476*r**3 + 10563480*r**2 = 0.
-2640870, 0, 1
Factor 2*c**2 + 7743456*c + 7495138852992.
2*(c + 1935864)**2
Factor -5*w**2 - 71299520*w - 254181077611520.
-5*(w + 7129952)**2
Factor -3*b**3 - 28113*b**2 - 72284160*b - 56522553300.
-3*(b + 1810)**2*(b + 5751)
Let 2*q**3/7 + 40402*q**2/7 + 29122610*q - 1837998450/7 = 0. What is q?
-10105, 9
Suppose -2*y**2 + 41492*y - 1077440 = 0. What is y?
26, 20720
Solve -75*x**3 - 490227570*x**2 + 196091037*x - 19609104 = 0.
-6536368, 1/5
Factor -5*q**4 + 190*q**3 - 1680*q**2 + 5490*q - 6075.
-5*(q - 27)*(q - 5)*(q - 3)**2
What is f in 2*f**5/15 - 146*f**4/15 + 76*f**3/5 + 44972*f**2/15 - 441254*f/15 + 308066/5 = 0?
-19, 3, 11, 67
Factor -l**2/4 - 720103*l/4 + 2880476.
-(l - 16)*(l + 720119)/4
Factor -2*v**2/5 - 244506*v/5 + 46283076/5.
-2*(v - 189)*(v + 122442)/5
Let -2*y**2 + 399980*y - 7598898 = 0. What is y?
19, 199971
Determine d, given that -5*d**4/4 + 1785*d**3/4 + 391065*d**2/4 + 15508675*d/4 - 37497750 = 0.
-85, 8, 519
Find f such that 2*f**5/11 - 520*f**4/11 - 4382*f**3/11 + 1269100*f**2/11 = 0.
-49, 0, 50, 259
Determine a, given that 2*a**3/5 - 548*a**2/5 - 118032*a/5 - 387072 = 0.
-128, -18, 420
Let 12*b**2 + 20656*b/3 + 1388800/3 = 0. What is b?
-496, -700/9
Let -s**2/3 - 2120881*s + 6362644/3 = 0. Calculate s.
-6362644, 1
Solve 4*c**4 + 13744*c**3 - 1707700*c**2 + 49445744*c + 164077296 = 0 for c.
-3557, -3, 62
Factor 2*b**2/7 + 33638394*b/7.
2*b*(b + 16819197)/7
Factor 2*s**2 - 272458*s - 1362340.
2*(s - 136234)*(s + 5)
Determine t, given that 2*t**2 + 78469146*t - 78469148 = 0.
-39234574, 1
Let 524*s**4 + 17563*s**3 + 41466*s**2 + 17957*s + 2170 = 0. Calculate s.
-31, -2, -35/131, -1/4
What is r in -4*r**2 + 1001120*r - 20020800 = 0?
20, 250260
Factor -z**3/9 + 481*z**2/9 + 81064*z/3 + 80580.
-(z - 790)*(z + 3)*(z + 306)/9
Determine x so that -6*x**5 - 172*x**4 + 35462*x**3 + 131524*x**2 + 143944*x + 48048 = 0.
-91, -2, -1, -2/3, 66
Factor 4*p**4/7 - 3861456*p**3/7 + 931950820944*p**2/7 - 11182992817536*p/7 + 33548561420544/7.
4*(p - 482676)**2*(p - 6)**2/7
Find i, given that -2*i**3/9 - 5060*i**2/9 + 160682*i/9 + 4865900/9 = 0.
-2561, -19, 50
Factor -2*r**5/9 - 149702*r**4 - 33616033206*r**3 - 2516193701502306*r**2.
-2*r**2*(r + 224553)**3/9
Solve -2*o**4 + 46322*o**3 - 601908*o**2 + 1388880*o = 0.
0, 3, 10, 23148
Suppose 3*y**2 - 61585056*y - 246340272 = 0. Calculate y.
-4, 20528356
Solve -3*u**5/5 + 1478*u**4/5 - 175944*u**3/5 - 330672*u**2 + 6986000*u - 4500000 = 0.
-18, 2/3, 10, 250
Factor -y**4 - 2999*y**3 - 2949867*y**2 - 954947637*y.
-y*(y + 873)**2*(y + 1253)
Determine d, given that 15*d**2 - 100962377*d + 13461650 = 0.
2/15, 6730825
Suppose 3*c**4 + 6201*c**3 + 372927*c**2 - 6201*c - 372930 = 0. What is c?
-2005, -62, -1, 1
Find u, given that 57*u**5 + 177868836*u**4 + 138760178445420*u**3 - 14606514412890*u**2 - 138760178445477*u + 14606336544054 = 0.
-1560253, -1, 2/19, 1
What is s in 3*s**5 + 22284*s**4 + 1959774*s**3 + 1915212*s**2 - 1959777*s - 1937496 = 0?
-7339, -88, -1, 1
Solve 3*p**4 + 891372*p**3 + 57926106*p**2 - 118526340*p + 59708859 = 0.
-297059, -67, 1
Find s, given that 3*s**3 + 8466*s**2 - 2449503*s + 14391594 = 0.
-3087, 6, 259
Solve 335*g**4 + 500430*g**3 + 910335*g**2 + 320720*g - 89520 = 0.
-1492, -1, 12/67
Solve 3*g**2/2 + 33147*g - 38971449/2 = 0 for g.
-22671, 573
What is v in -v**2 - 288601*v + 1154420 = 0?
-288605, 4
Factor 2*t**2/
|
{
"pile_set_name": "DM Mathematics"
}
|
11*m(x) - 6*p(x). Calculate f(k(v)).
-16*v**4
Let l(g) = 16*g**2 - 2. Let h(d) = -9 + 8*d - 11*d - 8*d**2 + d**2 + 2*d**2 + 3*d**2. Let y(a) = 2*a**2 + 4*a + 12. Let p(i) = -4*h(i) - 3*y(i). Give l(p(r)).
64*r**4 - 2
Let t(d) = 47796*d - 139. Let i(j) = 43*j. Determine t(i(b)).
2055228*b - 139
Let m(o) = -50*o + 5. Let y(w) = -26*w + 2. Let s(q) = 3*m(q) - 7*y(q). Let k(r) be the second derivative of -r**3/3 - 501*r. Give k(s(i)).
-64*i - 2
Let a(i) = -16*i**2 - 5*i - 2*i - 8*i**2 + 7*i. Let h(q) = -3*q + 6. What is a(h(b))?
-216*b**2 + 864*b - 864
Let l(f) = 7*f. Suppose 2*v - 17 = -13. Suppose 4*k = -v*r + 24, 2 = 4*r + 10. Let s(p) = 3*p + 2*p - p - k*p. What is l(s(o))?
-21*o
Let v(m) = 336*m. Let f(n) be the third derivative of -7*n**5/60 + 2*n**2 - 194. Give f(v(z)).
-790272*z**2
Let n(i) = -14546*i**2. Let s(c) = -2922*c**2. Determine n(s(o)).
-124194969864*o**4
Let g(a) = 3*a**2. Let v(s) = 1063447*s. Calculate g(v(q)).
3392758565427*q**2
Let c(y) = y**2. Let p = -21337 - -85349/4. Let f(d) be the third derivative of 0*d**3 + 22*d**2 + p*d**4 + 0 + 0*d. What is c(f(h))?
36*h**2
Let i(r) = r**2 - 1. Let j(k) = 5*k**2 + 113. Let f(z) = 6*i(z) - j(z). Let c(n) be the first derivative of f(n). Let p(b) = 96*b. Give p(c(x)).
192*x
Let o(p) be the second derivative of 3*p**3 + 14*p - 47. Let l(f) = 93*f**2. Give l(o(s)).
30132*s**2
Let f(j) = 2929*j**2. Let w(d) = 1444*d. Calculate w(f(s)).
4229476*s**2
Let q(u) = 111*u**2. Let s(d) be the second derivative of -d**5/40 + 29*d**3/2 + d + 7. Let r(w) be the second derivative of s(w). Give r(q(i)).
-333*i**2
Let z(g) = -g. Let r(t) = -250*t**2 + 15*t - 3163. Let m(u) = 34*u**2 - 2*u + 452. Let q(x) = -15*m(x) - 2*r(x). What is q(z(v))?
-10*v**2 - 454
Let h(l) = 338*l + 425*l - 872*l. Let c(d) = -2*d**2. Calculate c(h(a)).
-23762*a**2
Let d(v) = 6*v + 98. Let j be d(-16). Let m(l) = -12*l. Let y(a) = 2*a. Let q(u) = j*m(u) + 11*y(u). Let r(z) = 2*z**2 - z. What is r(q(o))?
8*o**2 + 2*o
Let m(v) = v + 2*v - 2*v. Let g(w) be the first derivative of -w**3/3 + 3*w**2 - 73*w - 241. Let b(a) be the first derivative of g(a). Calculate m(b(z)).
-2*z + 6
Let u(x) = 31065635*x**2. Let v(r) = 4*r. Calculate u(v(z)).
497050160*z**2
Let w(d) = -d. Let r(h) = 8129*h**2 - 9*h - 2. Calculate r(w(f)).
8129*f**2 + 9*f - 2
Let d(x) be the third derivative of -257*x**4/4 - 5449*x**2. Let f(r) = -r**2. Determine f(d(l)).
-2377764*l**2
Let g be 2 - (-12 - -12)*1*-1. Let v(w) = -14*w**2 - 6*w**g - 6*w**2 - 26 + 29*w**2. Let r(h) = h. What is r(v(f))?
3*f**2 - 26
Let y(k) = 6*k. Let z(u) be the first derivative of 327*u**2/2 - 6105. Give y(z(f)).
1962*f
Let w(s) = 675*s**2. Let j(u) = -506 - 8*u + 6*u + 506. Calculate w(j(y)).
2700*y**2
Let i(p) = 3*p**2 + 78*p. Let z(d) = 212*d + 180*d - 582*d + 216*d. What is z(i(q))?
78*q**2 + 2028*q
Let d(a) = 27*a**2. Let c(x) be the first derivative of 30*x - 8 + 0*x**2 - 1/6*x**3. Let n(q) be the first derivative of c(q). Give d(n(h)).
27*h**2
Let o(z) = -24*z**2. Let c(d) = 17048*d**2 + 128 - 17058*d**2 - 128. Calculate c(o(j)).
-5760*j**4
Let j(o) be the second derivative of 13*o**3/6 - 325*o. Let m(r) = 159 - 3*r + r - 159. Give j(m(h)).
-26*h
Let y(a) = -3*a**2 - 19*a - 910. Let d(s) = s**2 + 6*s + 303. Let x(i) = -19*d(i) - 6*y(i). Let p(h) = 3*h**2. What is p(x(u))?
3*u**4 + 1782*u**2 + 264627
Let u(g) = -2*g**2. Let r be (-138)/(-8) - ((-7)/4 + 2). Let t(d) = 57*d**2 - 43 + 19*d + 43 - r*d. Give u(t(m)).
-6498*m**4 - 456*m**3 - 8*m**2
Let n(k) = 2*k**2 - 1235*k. Let x(l) = 34668*l. Give n(x(u)).
2403740448*u**2 - 42814980*u
Let a(n) = -3*n**2. Suppose 3*q = 9 + 3. Let d(s) = 2 - 4*s - s**2 - 6 + 3 + 5. Let h(r) = -r + 1. Let m(l) = q*h(l) - d(l). Give a(m(f)).
-3*f**4
Let b(c) = -c**2 + c - 205. Let f(a) = a + 11. Calculate f(b(r)).
-r**2 + r - 194
Let z(c) be the
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.4, -0.5
Let q be (30/(-3)*-1)/(-5 - -7). Suppose 2*g + 8 = -4*z, -2*z + 0 = -5*g + 4. Put z, -5, q, 7 in decreasing order.
7, q, z, -5
Suppose 7*f - 2*f - 75 = 0. Suppose 6*u - 3*u = -f. Let h(m) = m**2 + m + 2. Let t be h(-2). Sort t, -3, u.
u, -3, t
Let q = 6 - 8. Let k(t) = 7*t + 193. Let l be k(-27). Put l, -4, q in descending order.
l, q, -4
Let t(v) be the second derivative of -v**4/12 + 3*v**3 - 8*v**2 + 15*v. Let s be t(17). Sort s, 3, -2, 5.
-2, s, 3, 5
Suppose 0 = k + 3*k + b - 20, 3*b - 25 = -5*k. Sort 0.1, 18, k, 2.
0.1, 2, k, 18
Let j be (56/(-6))/(62/93). Put -5, 3, j, -4 in increasing order.
j, -5, -4, 3
Let h = -301 - -306. Sort h, 0, -11.
-11, 0, h
Let o(r) = r**3 + 11*r**2 - 2*r + 11. Let j(g) = g - 6. Let y be j(-5). Let m be o(y). Let s be (-2)/(-6) + 22/m. Sort s, -4, 7 in decreasing order.
7, s, -4
Let y(z) = z**3 - 9*z**2 + 6*z + 11. Let n be y(8). Suppose 2*r - 4*r = 0. Suppose r = -2*g + 6*g + 16. Sort n, g, 5 in increasing order.
n, g, 5
Let d = 0.35 - -0.05. Let o = 2965/33 - 981/11. Put o, -0.2, d, -0.7 in decreasing order.
o, d, -0.2, -0.7
Suppose 5*i - 191 = -s, -3*i = -2*s + 3*s - 115. Suppose 2*j = -y + 9 - i, -4*y - 96 = 3*j. Let x = y + 26. Put x, 1, -0.5 in ascending order.
-0.5, 1, x
Let f = 315 + -316. Suppose -3*r + 24 = -3*d, 3*d - 2*d = -5*r + 16. Put 0, r, f in decreasing order.
r, 0, f
Let c = 15 - 28. Let f = 19 + c. Let a = f + -6.3. Put 1/5, 0.4, a in decreasing order.
0.4, 1/5, a
Suppose 0 = 4*z + 1 + 3. Let y = -5 - -2. Sort -5, y, z in decreasing order.
z, y, -5
Suppose 0*q = q - 4. Let v(r) = -r. Let x be v(q). Sort -1, x, 3 in descending order.
3, -1, x
Let m = -121/852 + -7/284. Sort m, 42, 2 in increasing order.
m, 2, 42
Let x be -94*1/(-18) - (-4)/(-18). Put 2, -21, 0, x in decreasing order.
x, 2, 0, -21
Let f be -2 + 6*(-1)/(-2). Let c be (2/(-6))/((-1)/(-3)). Let i be (2 - 2)/(2 + 0). Sort i, f, c in decreasing order.
f, i, c
Suppose -4*t + 0*z - 3*z = -65, -5*t + 3*z + 88 = 0. Let v = -84/5 + t. Let b be (-10)/30 - (64/(-30) + 2). Put v, -3, b in ascending order.
-3, b, v
Let w = -7.05 + -35.85. Let c = 43 + w. Sort -8/3, c, 2/9 in increasing order.
-8/3, c, 2/9
Let l = 61/4 - 15. Let m = 2 + 0. Let y be (m/8)/((-105)/(-56)). Put y, -2/25, l in increasing order.
-2/25, y, l
Let z(c) = 25*c + 382. Let n be z(-17). Put n, -5, -17 in decreasing order.
-5, -17, n
Let w = 0.6 - 0.1. Let v = 20000 + -400129/20. Let m = v + 25/4. Sort 1.3, w, m.
m, w, 1.3
Suppose 3*j = 4*j. Suppose 4*s - 7 = 1. Suppose 5*a - s*h - 5 = 3*h, 15 = 3*h. Sort j, a, 5 in ascending order.
j, 5, a
Let j be (43/(-86))/((-1)/2*-2). Sort j, -3, 2 in decreasing order.
2, j, -3
Let r = 1092 + -1090. Let q be 2/8 - 29/4. Put q, r, -4 in descending order.
r, -4, q
Let v = -7.95 + 3.95. Sort -1.1, v, 4, 1.
v, -1.1, 1, 4
Let o = 610 - 607.23. Let s = o - -0.23. Sort -7, s, 0.5 in decreasing order.
s, 0.5, -7
Let q(h) = h**2 - h - 2. Let g be q(-4). Suppose 2*l = c - 0*c, 5*c - l = -g. Let t be -3 - 18/4*-2. Put t, c, -1 in ascending order.
c, -1, t
Let n = -9.11 - -9. Let l = n - 3.89. Let q = l - -4.5. Sort q, -0.5, 3.
-0.5, q, 3
Suppose -2*g = -2*d + 12, -22*d = -26*d + 4. Let x be -3*(-3)/(9/4). Sort x, g, 11 in decreasing order.
11, x, g
Let b = 3 + -3.5. Let n = b + 0.53. Let c = n + -0.12. Sort -1/3, c, 3 in increasing order.
-1/3, c, 3
Let r = 15897/1105 + -243/17. Sort 0.5, -0.3, 1, r.
-0.3, r, 0.5, 1
Let d = -853/346 - 6/173. Sort -1, 1, -0.5, d in descending order.
1, -0.5, -1, d
Suppose -9 = 4*n + 75. Let w be ((-2)/(-4))/(n/42). Sort w, -5, 10 in ascending order.
-5, w, 10
Suppose 2*z - 4*x = -14, 4*x - 19 = -4*z + 13. Suppose z*o - 14 = 1. Let i be ((-5)/(-4) + -2)*4. Put i, o, -2 in descending order.
o, -2, i
Suppose -5*q = 5*h - 20, q - 2*h - 6 = -4*h. Sort -5, 20, q, 4.
-5, q, 4, 20
Let v = 505/6 - 84. Let b = -100.6 + 101. Sort v, -0.5, b in increasing order.
-0.5, v, b
Suppose -60*f + 18 = -51*f. Sort -4, -18, -14, f.
-18, -14, -4, f
Suppose -5*f + 6 = -g, -4*g + 2 = -f - 12. Let b(v) = v**2. Let w be b(1). Sort f, 3, w.
w, f, 3
Let b(t) = 4*t**3 - 18*t**2 + 49*t - 12. Let n be b(3). Sort 0, 2, n in increasing
|
{
"pile_set_name": "DM Mathematics"
}
|
Round a to one dp.
-0.6
Let p = 14 - 10. Let h(b) = -p - 91*b + 4. Let j be h(1). What is j rounded to the nearest ten?
-90
Suppose 2*k = 5*n + 11, -5*n - 14 - 3 = k. Let p be 4/k - 0/5. What is p rounded to the nearest ten?
0
Suppose 5*h + 2712472 = -887528. Round h to the nearest one hundred thousand.
-700000
Let n = 3.90221 - 3.8695994. Let v = n - -0.0513803. Let k = -0.084 + v. What is k rounded to six dps?
-0.000009
Let y = 18 + -18.00007. What is y rounded to four dps?
-0.0001
Let u = 78 + -85.8. What is u rounded to zero decimal places?
-8
Let t = 0.34 - 3.24. Let j = t - -0.4. Round j to zero decimal places.
-3
Let b = -111.295895 - -111.34. Let h = 0.264 + -0.22. Let w = b - h. What is w rounded to five decimal places?
0.00011
Let y = -497710 - -697715. Let m be (6/3 - y) + 3. Round m to the nearest one million.
0
Let l(p) = 3*p - 2 - 3 + p**2 + 1 + 2*p. Let b be l(-8). Round b to the nearest ten.
20
Let z = 4 - -2. Let u(t) = z*t**2 + 786*t**3 + 8*t - 3*t - 3985*t**3. Let p be u(-5). Round p to the nearest 1000000.
0
Let j = 0.18 - 1.08. Let b = j - -0.90000072. Round b to 7 decimal places.
0.0000007
Let s = 7.0031 + -7. Round s to three decimal places.
0.003
Let t = 741795.0053 + -741765. Let i = -30 + t. Round i to 3 dps.
0.005
Let t = 317 - 447. Let b = 235 + t. Let n = b + -104.999947. Round n to five decimal places.
0.00005
Let s = 214 - 214.93. Let p = s + 0.833. What is p rounded to two dps?
-0.1
Let h = 144 + -58. Let z be -1*h*-1 + 2. What is z rounded to the nearest ten?
90
Let m be (-18036)/22 + (-36)/198. What is m rounded to the nearest one hundred?
-800
Let c be 2 + (2 - (1 - 0)). Suppose z + 13 + 0 = -5*y, 6 = -3*z - 4*y. Suppose -z*o - 2*n = -2210, o - c*n - n = 1080. Round o to the nearest 1000.
1000
Let f = 9.1 - 0.1. Let x = f - 23. Let w = x - -14.022. Round w to two dps.
0.02
Let v be 4*1*(-2)/4. Let r be 51/(-6) + (-1)/v. What is r rounded to the nearest ten?
-10
Let u = -981.64 + 0.64. Let i = -981.3932 - u. Let h = -0.4 - i. Round h to 3 dps.
-0.007
Let x(f) = -68201*f + 32. Let o be x(4). Let k = 388879 - -118349. Let n = o - k. Round n to the nearest 100000.
-800000
Let z = -110627 + 110421.332. Let v = z - -206. Let m = v - 0.4. Round m to 2 dps.
-0.07
Let a = 262352938884 + -262352966683.34200016. Let v = a - -27801.342. Let l = v + -2. Round l to seven dps.
-0.0000002
Let j = 11 + -10.99. Let m = 7053.41 - 7053.42000002. Let g = j + m. What is g rounded to 7 dps?
0
Let u = 1498.904 + -1506. Let p = -7 - u. What is p rounded to two dps?
0.1
Let c = 130 + -130.00000142. What is c rounded to seven dps?
-0.0000014
Suppose 0 = -4*r - 4*c + 36, 2*r - 14 = c + c. Suppose r*w + 2000 = 3*w. What is w rounded to the nearest one thousand?
0
Let z(v) = -v**2 - 8*v - 2. Let q be z(-12). Round q to the nearest 10.
-50
Let k = 1154208.9999904 - 1154198. Let v = k - 11. What is v rounded to 6 decimal places?
-0.00001
Suppose 5*d - 118 = -p, 3*p - 2*p - 2*d - 146 = 0. Suppose p + 38 = 4*w. What is w rounded to the nearest ten?
40
Let m be (15/6)/5*-2. Let y(g) = -8*g**3 - 2*g**2 + 1. Let q be y(m). Suppose q*r + 2960 = 3*r. What is r rounded to the nearest 100?
-700
Let k = 0.9 + -0.91. Let v = 4570 - 4569.989895. Let n = k + v. Round n to 5 decimal places.
0.00011
Let c = -6586 - -16586. What is c rounded to the nearest one thousand?
10000
Let j be (179844/4)/(0 + -1). Let x be (-10039)/((-2 - -1)/1). Let o = j - x. What is o rounded to the nearest ten thousand?
-60000
Let p = -27113 + -23987. What is p rounded to the nearest ten thousand?
-50000
Let b = 36 + -31.2. What is b rounded to the nearest integer?
5
Let o = -3412775 - -1612775. What is o rounded to the nearest 100000?
-1800000
Let r(m) = 14118*m**2 + 5*m - 6. Let z be r(6). Let p = -72264 + z. Suppose -p = 7*u - 3*u - 2*o, 2*u + o = -217996. Round u to the nearest ten thousand.
-110000
Let s be (-1)/6 + (-26)/(-12). Suppose 0 = s*v + 16 + 24. Round v to the nearest 10.
-20
Let n = 0.1 - 0.14. Let a = 8.96 - n. Let t = -9.022 + a. Round t to two dps.
-0.02
Let k = 13.032 - 13. Let n = 0.089 - k. What is n rounded to 2 decimal places?
0.06
Let o = -0.53 - -0.03. Let s = o - 2.5. Let q = 2.99999952 + s. What is q rounded to 7 dps?
-0.0000005
Let k = 23 + -9. Let y = 3.40217403 + 10.59782667. Let u = k - y. What is u rounded to six dps?
-0.000001
Let h = 7.2 + -8. Let k = -0.80000007 - h. Round k to 7 dps.
-0.0000001
Let b = 66 + -118. Let q = -37 - b. Let d = q + -14.99999927. What is d rounded to seven dps?
0.0000007
Suppose -o - 2*o = 0. What is o rounded to seven dps?
0
Let w be (-7 + 31)*(-5)/(-3). Suppose f - w = -0*f. What is f rounded to the nearest one hundred?
0
Let c = -358343 - -105218. Let a = c + 253120.999968. Let k = a - -4. What is k rounded to five dps?
-0.00003
Let g be (-91)/(-28) - 2/8. Suppose -5*d = -x - 16980, 5*x + 85654 = g*d + 666. What is x rounded to the nearest 10000?
-20000
Let k(j) = 4*j
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m = 58 - 42. Let l be (-38)/(-57) + (-4)/(-3). Calculate the remainder when m is divided by -3*(-1 + -4 + l).
7
Let q = -506 + 553. What is the remainder when 367 is divided by q?
38
Let z = 11 - 11. Suppose -3*a - 10 + 43 = z. What is the remainder when a is divided by 6?
5
Suppose -24*i + 10*i + 336 = 0. Calculate the remainder when i is divided by 9.
6
Let w = -31 - -49. Suppose -y + w = -0. Let s = -1019 - -1086. Calculate the remainder when s is divided by y.
13
Suppose 4*z = 6*z - 14. Suppose 2*u - z = 3. Let c(g) = g**2 - 3*g + 6. Calculate the remainder when 62 is divided by c(u).
14
Suppose 0 = -3*m + 6*m - 57. Suppose -6*w = -2*w - 20. Suppose -93 = 5*x - w*a - 348, 267 = 5*x - 2*a. What is the remainder when x is divided by m?
17
Let d = -1 - -38. Calculate the remainder when (1680/(-72))/(2/(-6)) is divided by d.
33
Let x = -265 - -287. What is the remainder when 99 is divided by x?
11
Let n = -424 - -449. Let c(k) = 16*k + 3. What is the remainder when c(6) is divided by n?
24
Calculate the remainder when 5930/55 - (-4)/22 - -2 is divided by 58.
52
Let u = 83 - 61. Suppose -y = -4*g + 13 + 2, 5*y = 2*g + 15. Suppose -4 = -z - 2*l + 4*l, 0 = -g*z - 2*l + 44. Calculate the remainder when u is divided by z.
6
Let r be 6/21*2 + 524/14. Let l = r + -33. Calculate the remainder when 9 is divided by l.
4
Let k(f) = f**2 - 342. Let v be k(0). Let q = -238 - v. Calculate the remainder when q is divided by 21.
20
Calculate the remainder when (-11)/(-3) + 9/27 - -45 is divided by 20.
9
Let i(c) = -c**3 + 2*c**2 + 4*c - 1. Let w be i(3). Let v be 87/15 - 4/5. Suppose w*g - v*g + 75 = 0. What is the remainder when g is divided by 7?
4
Let v = 1159 - 1113. Let u(s) = s**2 + 12*s + 3. Calculate the remainder when v is divided by u(-13).
14
Let n(c) = c + 2. Let f be n(0). Suppose -4*w = -f*y + 28 - 6, 13 = 2*y - w. Suppose -j = -y*j + 68. Calculate the remainder when j is divided by 9.
8
Suppose 0 = -3*p + 10*p - 1806. Suppose -150 + p = 4*w. What is the remainder when 42 is divided by w?
15
Let j(z) = -12*z - 223. What is the remainder when j(-22) is divided by 1/(-2*(-2)/44)?
8
Let c = 29 - 24. Let s = 109 + -65. Suppose -p - s = -c*p. Calculate the remainder when 21 is divided by p.
10
Let t(z) = z + 32. Suppose 198 = 2*j - 2*b, 0 = -j + 5*b + 77 + 38. Calculate the remainder when j is divided by t(0).
31
Let l = -1046 - -1067. Calculate the remainder when 1876/10 + (-2)/(-5) is divided by l.
20
Let d(y) = 2*y**2 + 45*y - 5. What is the remainder when 1408/28 - (-2)/(-7) is divided by d(-23)?
14
Let j(m) = -16*m - 12. Let i be j(-6). Let c be i/22 - 10/(-55). Suppose u - c*u = -177. What is the remainder when u is divided by 15?
14
Let i(p) = -p**2 - 7*p + 34. Calculate the remainder when 14 is divided by i(-10).
2
Suppose -5*l + 444 = -l - 2*r, -r + 444 = 4*l. What is the remainder when l is divided by 38?
35
Let s(q) = -18*q + 104. Calculate the remainder when 159 is divided by s(4).
31
Let q = 41 + 8. Calculate the remainder when 206 is divided by q.
10
Let b(s) = -s**3 + 8*s**2 - 3*s + 35. What is the remainder when 501 is divided by b(7)?
60
What is the remainder when (264/(-16))/((-6)/52) is divided by 36?
35
Let k = -546 - -702. What is the remainder when k is divided by 32?
28
Let j(n) = 21*n**2 + 6*n - 4. What is the remainder when 180 is divided by j(2)?
88
Let p(r) = -r**2 + 27*r - 73. Calculate the remainder when p(13) is divided by 33.
10
Suppose 9*r - 21 + 3 = 0. Suppose a - 2*w + r = 16, w - 38 = -2*a. What is the remainder when a is divided by 4?
2
Suppose 4*r - 15*z + 10*z = 45, 5*z + 5 = -4*r. Calculate the remainder when 9 is divided by r.
4
Let l(m) = 2*m**2 + 10*m + 35. Calculate the remainder when 29 is divided by l(-3).
6
Let w be -3*1/(-2) + (-891)/(-22). Let y = 76 - w. What is the remainder when y is divided by 105/14*(-16)/(-10)?
10
What is the remainder when 207 is divided by ((-76)/9)/(292/(-18) + 16)?
17
Suppose 47 = 2*y + 1. Suppose v + 5*v = -0*v. Suppose 2*x + 2 = v, z - x + 11 = 2*z. What is the remainder when y is divided by z?
11
Let j(g) be the third derivative of g**6/120 + g**5/6 + 13*g**4/24 + g**3/2 - 26*g**2. What is the remainder when j(-6) is divided by 25?
19
Suppose 4 = s, -d - s - 12 = -5*d. Suppose 13 + 11 = -3*l. Let n = 10 + l. What is the remainder when d is divided by n?
0
Let y(o) = 34*o**2 - 4. Calculate the remainder when y(2) is divided by 23.
17
Let y = -1 - -6. What is the remainder when 90 is divided by (-6 + y)*93/(-3)?
28
Let l be (2 - 2) + -1 + 3. Suppose 5*j + 4 = l*p, 0*j - 4 = j - 2*p. Suppose j = -2*o + 5*o - 15. Calculate the remainder when 22 is divided by o.
2
Let n = 147 + -99. Suppose -4*l + n = -0*l. Calculate the remainder when -8 + 1896/36 + (-1)/(-3) is divided by l.
9
Let s(u) = 6*u**3 + 10*u**2 - 4*u**3 - u + 0*u**3 - 3*u**3 + 3. What is the remainder when s(9) is divided by 20?
15
Let s(y) = 2*y**3 + 15*y**2 - 11*y - 7. Suppose -197 - 1 = -2*u. What is the remainder when u is divided by s(-8)?
14
Suppose -8*p + 395 = -3*p - 5*n, 2 = n. Calculate the remainder when 399 is divided by p.
75
Let i = 526 + -490. What is the remainder when 103 is divided by i?
31
Let k(y) = y**2 + 3*y - 5. Suppose -b = 4*l - 46, -3*l = -5*l + 5*b + 34. What is the remainder when k(5) is divided by l?
11
Let c(k) = 2*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
e -4*y = -2*p - 18, p + m = -4*p + 5*y for p.
1
Let p be 3 + -2*(-1)/(-2). Let x be (p/5)/(3/(-15)). Let d = x - -2. Solve d = -5*g - 4*u - 37, g - u - 2*u = 4 for g.
-5
Let i(o) = 2*o**3 - 2*o**2 - 1. Let f be (-3)/(-3 + -2 + 4). Let j = f + -1. Let p be i(j). Solve l = 3*u - p, -2*l = -0*l - 10 for u.
4
Let s = -60 + 63. Solve 1 + 11 = -2*m + 2*n, -2*m - 16 = -s*n for m.
-2
Suppose -5*u = -3*b + 39, 0*u = -b + 3*u + 9. Solve b = 4*d + p, p + 18 = 3*d + 4*p for d.
4
Let m(t) be the first derivative of t**4/4 + 7*t**3/3 - 9*t**2/2 - 8*t + 1. Let b be m(-8). Suppose 4*g = -b*g. Solve f = 4*d - 13, g = f + d + 3 for f.
-5
Let j(a) = -a**3 - 3*a**2 - a - 3. Let d be j(-3). Suppose d = -4*q - 5*h - 16, 4*q + q = -4*h - 11. Solve 0*z = -z - 2*l - q, 3*z - 2*l = -11 for z.
-3
Let l(u) = u + 6. Let z be l(-6). Suppose z*b + 4*b = 0. Solve 5*i + b*i - 24 = -g, 4*g - 6 = -2*i for i.
5
Let g be 0 - (-6 + 11 - 10). Solve -2*i - 30 = 5*x - x, g*x = 5*i for i.
-5
Let g(f) = -f**3 + 7*f**2 - 5*f + 7. Let n be g(6). Let d = n + -9. Solve 5*j - 23 = 4*c + 17, -d*j + c = -21 for j.
4
Suppose -4*v = -2*j - 0*v - 2, -2*v = 3*j - 5. Suppose -10 = -3*a - j. Solve -a*k - 12 = 4*u + k, 4*u + 14 = -2*k for u.
-4
Let s be (-306)/(-10) + (-4)/(-10). Let m = 55 - s. Solve -c - 5*t = c - 21, 4*t = 2*c + m for c.
-2
Let b be (-2)/(-4)*8 + 0. Let f = 4 - 1. Suppose -3*i = -b*i + f. Solve 8 = 2*h - 3*w, -4*h - i*w + 19 = 3 for h.
4
Let t = 88 - 87. Solve -t = -4*n + 2*k + 3, 12 = 3*k for n.
3
Let n be (1*-3)/3 - -3. Suppose -2*p = -4*p + n. Solve -2*c + 17 - 50 = -5*v, 4*c = -3*v - p for v.
5
Suppose -3*l + 4 = -2. Let b be 9/6*(-2)/3. Let c be (-10)/(-3) + b/3. Solve -v - 5 = s + l*v, 2*s + 10 = -c*v for s.
-5
Let v(c) = -2*c - 8. Let x be v(-6). Solve 0 = -3*m - 4*f + 19, m + 7 = x*m + f for m.
1
Let b(v) = -v + 15. Let z be b(8). Solve -5*f + 16 = -2*i - 3*f, i - z = -2*f for i.
-3
Let a(b) = -b**3 - 8*b**2 - 6*b + 9. Let t be a(-7). Suppose t*k - 80 = -3*k. Suppose d + 1 = k. Solve -q - 4*q - d = -l, 0 = q - l - 1 for q.
-4
Let r(v) = v + 2. Let m be r(-2). Let a = 322 - 315. Let k(j) = -j**2 - 8*j. Let i be k(-6). Solve -4*f - 3*l - i = m, 0 = -3*f - 3*l + a*l + 16 for f.
0
Let s(k) = k**3 - 10*k**2 + 16*k + 5. Let j be s(8). Solve j*h - 25 = -5*n, 2*n + 3*h - 4*h = -5 for n.
0
Let z be ((-5)/4)/(2/(-24)). Let c be 4/14 - (-38)/14. Suppose z = 3*p + 3*o - 9, -6 = c*p - 3*o. Solve p = 3*b + y, 18 = 3*b + y - 5*y for b.
2
Suppose -4*g + 4*d = -20, -5*g = -2*d + 5*d + 15. Solve 3*a + g*a = 3*q + 15, -a = -3*q - 5 for q.
0
Suppose d = 4*d - 63. Solve -2*a + 3*j + d = -0*j, -4*j - 32 = -4*a for a.
3
Suppose -18 = n - 3*q, -3*n + 0 = 2*q - 1. Let a be (1 - 1)/(n - -1). Solve -2*s + a*m - m = 5, -2*m = -4*s - 14 for s.
-3
Let z be (0/(-2))/((-6)/3). Let i = z - 7. Let d = i - -10. Solve -4*w + 3 = 5*p - 3, -d*w = -3*p - 18 for w.
4
Suppose 2*p = 5 - 1. Let f(m) = 4*m**2 - m - 2. Let l be f(p). Solve -l = -2*k - u, -k - 4 = -3*k + u for k.
4
Let r be 0 + -2 + (10 - 3). Let s = 3 + -3. Solve s = -5*h - r*t + 15, -5*h + 0*t = -3*t + 1 for h.
1
Suppose -3*w + 8*w - 30 = 0. Let q = w + 0. Solve -4*v = 5*a - 17, 2*v + q*a = a + 11 for v.
3
Suppose 5*q - 24 = 2*a - 8, -q - 13 = 5*a. Let p = -11 + 6. Let b = p - -7. Solve 2*x + b = -2*w, -q*x - w - 2*w = 7 for x.
4
Let t(i) = -i**3 - 2*i**2 + i - 3. Let w be t(-3). Let o(q) = 2*q**3 - q**2 - 10*q. Let s be o(3). Solve 9 = w*k, 2*l + 3*l - s = -5*k for l.
0
Suppose 5*q = -2*q - 14. Let w be (-2)/(1 + -3) + 3. Let o = q + w. Solve -4*i - 2*t - 4 = 2, 14 = -i + o*t for i.
-4
Let i(p) = 2*p + 3*p + 1 - p**3 - 4 + 6. Let l be i(-3). Let v be (5/l)/(2/102). Solve 4*u - 19 = 5*f, 0 = 2*u - 5*f - v for u.
1
Let x = -20 - -24. Suppose -i = -5*r + 11, 0 = -x*r - 3*i + i + 6. Solve 0*s + 12 = s - 4*h, 2*s = r*h for s.
|
{
"pile_set_name": "DM Mathematics"
}
|
-b*a + 3*o = -0*a - 15, -3*a - 3*o + 27 = 0. Solve -5*q - 12 = -u, a*q - 4*q + 6 = u for q.
-3
Let k = -1393 + 1397. Solve -7 = -3*i + 4*b + 6, -b - 8 = k*i for i.
-1
Let w be 11/((-33)/(-18)) - -4. Solve 5*z + 5*a = 55 - 5, -w = -2*a for z.
5
Let z be -4 - (0 + (2 - 6)). Let s = 22 + -20. Solve s*q = -5*p - 2*q - 15, z = -2*p - 2*q - 8 for p.
1
Suppose 4*f - 10 = 2*g, -3*f - g + 4 = -1. Solve -3*q = 2*b + f, 2*b + b - 5*q - 35 = 0 for b.
5
Let p be (2/(-4))/((-2)/56). Suppose 2*a + 4*a + 24 = 0, 0 = -w - 4*a - 13. Let l = -13 + 18. Solve -4*y + l*s - p = -w*y, -5*y - 18 = s for y.
-4
Let y(b) = -12*b + 350. Let s be y(29). Solve j + 11 = q + 4*j, s*q - 4 = 3*j for q.
5
Let p be 5 - (4 + -2 + 0). Let q be (2 - 6)*(-3)/p. Suppose 5*j - 14 = q*j. Solve 5*o - 20 = -2*f, 0*o + 4*f - j = 3*o for o.
2
Suppose 4*r = -c - 15, 4*r + 100 = -5*c + 25. Let k = 17 + c. Solve f - 4*h + 17 = 0, 0*f + h = -k*f + 11 for f.
3
Let h(v) = -v. Let j be h(6). Let l(w) = -w - 3. Let o be l(j). Solve 3*r + 3*c = o, r + 3 = -3*c + c for r.
5
Suppose -5*h - 2*q = -11, 2*h - q = -0*h + 8. Suppose -3*u - 14 = -4*c, 0 = -3*c + 4*u + h + 11. Solve 2*i = g - c, -g - 11 = -2*g + 5*i for g.
-4
Let m be 1886/(-6) + 0 + 10/(-15). Let f be 4/(-18) + 5*(-14)/m. Solve 0 = 2*o - 6, f*o + 23 = 4*b + 5*o for b.
2
Suppose -m - m + 20 = 2*d, -12 = -3*d. Let f be 4/(-10) + (4 - m/(-15)). Solve -4*w - f*s = -2*s + 8, 10 = 5*s for w.
-3
Let u(m) = 39 + 0*m - 5*m - 3*m + 3*m. Let x be u(7). Solve 0 = o + 3*n + 10 + 4, -x*o + 24 = -4*n for o.
1
Let c(x) be the second derivative of -x + 0 - 7/2*x**2 + 5/6*x**3. Let j be c(6). Solve 3*n + 5*o + 32 = 0, -4*n - j = o - 3 for n.
-4
Let y be -4*2*5/(-4). Suppose 0 = 5*t - y*t + 10. Solve 0*b - 3*m = t*b - 11, -3*b + 14 = 4*m for b.
-2
Suppose -2 = -4*g + 18. Suppose -43 - 45 = -4*h. Suppose g*x - 3 - h = 0. Solve -5*p - 10 = -x*k, 4*k = 2*p - 6*p - 32 for k.
-3
Suppose 0 = -2*q - 3*r - 100, 4*r + 40 + 62 = -2*q. Let p = q - -31. Let w = -11 - p. Solve 0 = -7*x + 2*x - w*m + 20, 2*x - 14 = 4*m for x.
5
Let f(w) = w**3 - 3*w**2 + 2. Let q be f(3). Let t be (-40)/(-140)*1029/42. Solve -5*b - r = -t, -2*b + q*r + 8 = -b for b.
2
Suppose -2*b + 23*c = 26*c - 21, b + 4*c - 23 = 0. Solve 0 = -2*p - 5*q - 1 - b, -q = -4*p - 8 for p.
-2
Suppose 5*g + 2*l = g + 24, 3*l - 12 = 0. Solve 0*j + j = -3*b, g*j + 13 = b for j.
-3
Let u be 1*(-3 - (-4)/2). Let c = 0 - u. Suppose -3*k - 19 + 50 = 4*n, -n - k = -9. Solve 4*g - 12 = -v, -5*g + 3 = n*v - c for v.
-4
Suppose 4*b = -0 + 40. Solve 3*s - 24 = 3*c, -2*c - 3*c - s - b = 0 for c.
-3
Let t(z) = 5*z - 173. Let f be t(35). Solve f*j = 2*k - 14, 2*j + 0*k + 9 = k for j.
-2
Suppose 0 = 3*z - 6. Let b(j) = -j**3 - 15*j**2 - 45*j - 9. Let q be b(-11). Let s be ((-20)/2)/((-4)/2). Solve q*u = -s*c - 0*c - 1, 12 = -z*c + 5*u for c.
-1
Let b be (1 + -2)/(15/(750/(-10))). Solve -b*s - t - 2*t = -3, 4*s + 3 = 3*t for s.
0
Let x(i) = -i - 7. Let l be 28/(-6) + (-3)/9. Let q = -16 - l. Let w be x(q). Solve w*g + 2*h - 8 = 6, 4*h = -12 for g.
5
Let b(y) = 3*y**3 - 4*y**2 - 3*y + 6. Let l be b(1). Solve -p - 10 = -2*m - 1, -m = -l for p.
-5
Let q be 5/(-30) + (-2)/(-12). Let k = q - 25. Let l = k - -40. Solve -5*v = -l, -r + 5 = -0*r + 2*v for r.
-1
Let q(p) = 13*p + 11. Let r be q(-3). Let l = r + 32. Solve 2*f + 6 = 7*f - l*x, -3*x + 7 = 2*f for f.
2
Let i(c) = -2*c**2 + 15*c - 23. Let z be i(5). Solve z*k - 2*n - 4 = 0, -10*k + 16 = -7*k - 5*n for k.
-3
Suppose 2*n + n = -4*v - 109, 3*n + 134 = -5*v. Let h = 3 - v. Solve -2*s + 2*i = 8, 6*i - h = -3*s + i for s.
1
Let f be (-16 + 20 - 6*1) + 6. Solve 2*c = w - 0 - f, 2*w = 0 for c.
-2
Let k be (-864)/(-144) - 6/(-4)*-2. Solve k*i - 1 = -2*u, -2*u = i - u - 1 for i.
-1
Let s = 12 + 18. Suppose 5*y - 7*y = 4*m - 70, -s = -m + 2*y. Solve -2*u - 5*x + 20 = -0*x, 5*u + m = 5*x for u
|
{
"pile_set_name": "DM Mathematics"
}
|
5?
16856.45
What is the product of -113 and -138960?
15702480
What is -1672.002 times -0.054?
90.288108
Multiply 350 and -7366.
-2578100
-10 * 110.55613
-1105.5613
What is the product of 12.4696106 and 1?
12.4696106
What is the product of -2.28 and 81.04?
-184.7712
Work out 1.58077 * -0.33.
-0.5216541
Multiply 1.2 and 25.36839.
30.442068
Product of 736 and -1006.
-740416
1055.2 times -13.54
-14287.408
What is 25559.9 times 24.24?
619571.976
Multiply -0.1 and -9717719.
971771.9
Multiply 0.0732 and 14340.
1049.688
What is the product of 0.11754127 and 1?
0.11754127
Work out 17343954 * 7.
121407678
38296532 * -3
-114889596
-9869 * -113150
1116677350
14653 * 2887
42303211
What is the product of -1411785 and -0.2?
282357
Product of 5 and -0.9907478.
-4.953739
Calculate -0.1*69.0942.
-6.90942
-5 times 0.00646664
-0.0323332
Product of -407026 and 0.047.
-19130.222
Multiply -57670 and 0.33.
-19031.1
What is the product of 0 and 276843?
0
-3*2762043
-8286129
Calculate 24704964*3.
74114892
Work out 0.2691 * -108.56.
-29.213496
Calculate -0.72*-2636599.8.
1898351.856
Work out 22.1536541 * 0.4.
8.86146164
-3.1*29486422
-91407908.2
Multiply 1 and 25.14228.
25.14228
What is the product of 138757 and 0.863?
119747.291
-2.572 * 960
-2469.12
Work out 4 * 0.30794384.
1.23177536
What is the product of 3 and 91.91953?
275.75859
Product of 4 and -104.203.
-416.812
Product of 4 and -312812834.
-1251251336
0.1 * -16340406
-1634040.6
-1187911 * -0.214
254212.954
What is the product of -0.3 and 5.5808553?
-1.67425659
11965164 times 0.04
478606.56
Multiply -115201 and 233.
-26841833
-0.097 times 1298542
-125958.574
0 times 287.3855
0
What is the product of 300324 and 21?
6306804
What is -0.0101 times -0.39277?
0.003966977
Work out 0.07 * -32755.
-2292.85
What is the product of 0.035024 and -283.3?
-9.9222992
What is -1.7 times -445.98007?
758.166119
Multiply -240464 and -118.
28374752
Work out 0.086738 * 996.
86.391048
-1.601 * -19407
31070.607
4.3*3410178
14663765.4
Work out -0.033789 * -1.04.
0.03514056
-486437 times -1.1
535080.7
What is 66.94 times -63.8?
-4270.772
25339 times -0.3852
-9760.5828
What is 1842 times -37131?
-68395302
Work out -0.01987 * -4.
0.07948
Product of 46.79597 and -3.
-140.38791
What is -37 times -326809?
12091933
Work out 84.8 * -572.8.
-48573.44
-0.3 * -45543735
13663120.5
Calculate -6*-235162.
1410972
What is 0.29 times 479867?
139161.43
What is -7900693 times -1.8?
14221247.4
Multiply -47963 and -7.
335741
Multiply 8223139 and 0.5.
4111569.5
Work out 1762 * 8315.4.
14651734.8
-0.33438138*3
-1.00314414
What is the product of 28295.7 and 0.065?
1839.2205
Product of -2.26 and -2.661.
6.01386
-137.066487 times 2
-274.132974
Multiply -119.7419 and -0.35.
41.909665
Multiply 40 and 1764.
70560
Product of 146124 and 0.95.
138817.8
-0.06443 times 1266
-81.56838
0.14*-1.1519127
-0.161267778
-0.08*-79988
6399.04
Work out -0.623 * 3.0831.
-1.9207713
Calculate -7.4*206316.
-1526738.4
0.109*-260991
-28448.019
Work out -15.46 * -3.8181.
59.027826
Calculate 0.5*-60480351.
-30240175.5
62218565 * -0.1
-6221856.5
936392 * 121
113303432
-0.1 times -18497.695
1849.7695
-138.3*23421
-3239124.3
3 times -1523661
-4570983
-0.5 times -4400933.3
2200466.65
Product of -2794 and 4.52.
-12628.88
Product of 33093 and 0.7192.
23800.4856
978 * 11402
11151156
Calculate -898*99052.
-88948696
158774941 times -0.1
-15877494.1
What is the product of -52243 and 0.033?
-1724.019
-6.2 * -39042
242060.4
What is the product of 8022 and -3076?
-24675672
0.009*-0.142648
-0.001283832
What is 29 times -0.057115?
-1.656335
What is 183042193 times -5?
-915210965
Calculate -0.083*-36843.8.
3058.0354
Product of 4059 and -0.2727.
-1106.8893
Product of -0.0033399 and 1.7.
-0.00567783
-202487 * 60
-12149220
Work out 205 * -176240.
-36129200
0.2*-6975570
-1395114
44118.3572*-3
-132355.0716
Multiply 7540321 and 2.
15080642
Product of 0.2 and -4940876.
-988175.2
-26.5 times 359.798
-9534.647
Calculate -28711*34715.
-996702365
Work out 2376 * 51484.
122325984
784.6 times 9309
7303841.4
What is the product of 2 and 0.051827324?
0.103654648
What is the product of -2.8 and 371806?
-1041056.8
Calculate 278290*0.15.
41743.5
What is the product of 1401012 and -0.3?
-420303.6
-0.16 times 13823378
-2211740.48
Product of -26 and 5770399.
-150030374
What is the product of -2025.3078 and -0.4?
810.12312
What is 3.266172 times 80?
261.29376
0.1
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the nearest to -0.6? (a) 6 (b) -1/28 (c) 1/2 (d) 0.35
b
Which is the nearest to -0.24? (a) -1/3 (b) 4 (c) 2/679 (d) -0.2
d
What is the nearest to -1/3 in 1/10, -0.319, 1236?
-0.319
Which is the closest to 0.1? (a) 41 (b) -1 (c) 1 (d) 114143
c
What is the nearest to 1968700 in -0.2, 4, -4/7?
4
What is the closest to 8/2161 in 5, -3/2, -1, 10?
-1
What is the nearest to 1 in -1/4, 0.1, -1.1265, 27?
0.1
Which is the closest to -0.6? (a) -6.7 (b) -2 (c) -1/5 (d) 0.74 (e) -4
c
What is the nearest to -7 in -3.9, 0, -0.0271, -4/5, 4/3?
-3.9
Which is the nearest to -29? (a) 2/17 (b) -93 (c) -3 (d) -5
d
What is the closest to 0.3 in 201, 25.7, 19/9?
19/9
What is the nearest to 24 in -0.02, 0, -182/9?
0
Which is the closest to -29928? (a) -7 (b) 0.5 (c) -152
c
Which is the closest to -2/3? (a) 10.292 (b) -5 (c) 4 (d) 157 (e) 0.3
e
What is the closest to 3 in 0.5, 35272, 2, -2?
2
Which is the nearest to -0.01? (a) 0.2 (b) 0.0248 (c) -0.2 (d) 0.06 (e) 74
b
Which is the closest to 39? (a) -46 (b) 4/7 (c) -4 (d) -3
b
What is the nearest to 0.3 in -1, 1292385, 3?
-1
Which is the closest to -122.44? (a) 5 (b) 5/9 (c) -0.08 (d) -4
d
Which is the nearest to -20541? (a) 3 (b) -3 (c) -2/9 (d) -2/3 (e) 1/3
b
Which is the closest to -0.1? (a) 157029 (b) 4 (c) 10 (d) -12/7
d
Which is the closest to -87? (a) 0.3 (b) 0 (c) -0.05 (d) 25 (e) -127
e
What is the closest to -1/2 in -0.017, -0.5, 3.4, -2, 1/14?
-0.5
What is the nearest to -3 in 0.05, 162, 2, -5?
-5
What is the nearest to 1 in -1, -17, -122/439?
-122/439
What is the closest to 0.2 in -3, 2/17, 5, 7/2, 343306?
2/17
What is the closest to 3042 in 463, 5, -1?
463
What is the closest to 9 in 10, -8, -0.01, 4.03, -4?
10
What is the closest to -1 in 4, -1/4, -415, 1, -32?
-1/4
Which is the closest to 86? (a) -3 (b) -2/5 (c) 10 (d) 5 (e) -2/7 (f) -8
c
Which is the nearest to -2/17? (a) 2 (b) -332 (c) -2 (d) -2.6
c
What is the nearest to 1300 in -2/19, 5, -1/5, 0.5, -0.26?
5
What is the nearest to 0.1 in 3, 0.03, 774, 0, -2/17?
0.03
Which is the closest to 20123? (a) -2 (b) 23 (c) -1/3
b
What is the closest to 4 in -5/2, -0.04, 0.5, -1/3, -2?
0.5
What is the nearest to -6 in 38, 0.2132, -3/5, 3?
-3/5
Which is the closest to -1/3? (a) -20 (b) 4 (c) 0.2 (d) 5 (e) 2 (f) 4/6779
f
What is the closest to 2/5 in 5, 0.09, 9, 2, 23?
0.09
What is the closest to 0.1 in -551, -59, -4, 0.1, -8?
0.1
Which is the nearest to -2/5? (a) 0.5 (b) 2 (c) 3 (d) -152396/11
a
Which is the closest to -0.2? (a) -4 (b) 2.69 (c) -3/4 (d) 0.4 (e) 410
c
What is the closest to 0.2 in -0.4, 60/11, -168.3, 5?
-0.4
What is the closest to 263 in -1/3, 3/5, -16, 0.12?
3/5
Which is the nearest to -0.1? (a) 0 (b) 13 (c) 63 (d) -0.0017
d
What is the closest to 0.8 in -1/2, -0.1, -3, -428236?
-0.1
What is the closest to -211345 in -36, 7, -1/3, 4?
-36
What is the closest to -0.14 in -1, -3596, 2/7, 3?
2/7
Which is the nearest to 2? (a) -1 (b) -1.2 (c) 1 (d) -873
c
What is the closest to 2 in 4, 2180.4, -4/17?
4
Which is the nearest to 1884/7? (a) -7.71 (b) 0.1 (c) 2/7
c
What is the nearest to 959 in -0.5, 0.1, 2/11, -40/97?
2/11
What is the nearest to 6.102 in 33, 5/2, 2?
5/2
What is the nearest to -1 in -39895, -5, 4, 1/6?
1/6
Which is the closest to 2/2281? (a) 13 (b) 6 (c) 0.29 (d) 0.6
c
What is the nearest to 1 in -0.26, 4/97, 2/3, -7, 3?
2/3
Which is the closest to -1/7? (a) -0.22 (b) 0.226 (c) 2/17 (d) 306
a
What is the nearest to 4 in -0.02, 13, -3, 1/8, -2813?
1/8
Which is the nearest to -447222? (a) 2 (b) -12 (c) -5
b
Which is the closest to -6543/5? (a) 2/3 (b) -15 (c) -5 (d) 0.5
b
What is the closest to 0 in 2, -4, 0.3652, 0.01, -7?
0.01
Which is the nearest to -0.1? (a) 605 (b) -1.35 (c) -12
b
What is the closest to 2/7 in -6, 0.26, 0.1, 3, -3/35, -0.1?
0.26
Which is the closest to -0.062? (a) 1 (b) 5 (
|
{
"pile_set_name": "DM Mathematics"
}
|
4)/(-12))/((-18)/27)
-1/2
What is 280/60*6/4?
7
(-3)/(54/(-13)) + 298/(-1341)
1/2
What is (-4)/((-10)/(-12) - 3/(-18))?
-4
-1 + -5 + 16/(1456/585)
3/7
Evaluate (-646)/380 - 1/(-2).
-6/5
-4 + (-2 - -1)*-6
2
(8/(-6))/(28/(-21) - -1)
4
What is 38/40 + (-53)/265?
3/4
What is 6/9 - (-70)/21?
4
Evaluate 10/65 - 22/(-26).
1
What is the value of ((-10)/24)/((-40)/(-16))?
-1/6
What is 352/896 - 3/12?
1/7
6*(-85)/(-600) - (-4)/10
5/4
What is (-5 - -7 - 3/4)*4?
5
Calculate 16/(-6)*3/(-2).
4
4/(-74) - 6102/(-1998)
3
What is (-2)/3*(-9 - -12)?
-2
What is 12/4 - (4 - (-18)/(-16))?
1/8
13 + -11 + (-100)/45
-2/9
What is the value of ((-2)/(-50))/((-12)/60)?
-1/5
What is (6/(-12))/(-2 - (-3)/2)?
1
Calculate 1*(-6)/18 + (-28)/6.
-5
Calculate 5 - (1 + -2)*(-432)/81.
-1/3
What is the value of (-7 + 175/21)*3/(-2)?
-2
What is the value of (-135)/(-10) + -12 - (-3)/2?
3
What is the value of (-4)/(4 + (-11 - 3))?
2/5
35/45 - ((-1)/1 - -2)
-2/9
What is the value of (15/(-20))/((-171)/(-608))?
-8/3
Calculate 21/12 - 27/18.
1/4
What is -40*(57/15 - 4)?
8
Evaluate (2/4)/((-8)/(-336)*3).
7
(3 + -3 + -9)/(3 - 2)
-9
Evaluate 1 - (12/(-9))/(-2).
1/3
Evaluate 64/192 - (-3)/(-6).
-1/6
Calculate ((-1)/2 + 3)/((-6)/12).
-5
Evaluate -3*30/(-10) - 18.
-9
(15/(-10)*(-12)/(-9))/2
-1
Calculate 2 - (2 + 2 - 7).
5
What is the value of 1*(-6)/(3*6/(-9))?
3
20/(-8) + -9*(-8)/(-48)
-4
(0 - 1)/(-1) - 78/91
1/7
Calculate ((-5)/(50/15))/((-15)/(-10)).
-1
What is -2 + 148/(-1998) + (-251)/(-108)?
1/4
Calculate 2/1 - -9*2/(-8).
-1/4
What is the value of 54/10 + (-4)/10?
5
Calculate (-1 - 20/(-8))*4/3.
2
What is the value of (-2)/(-3) + 14 + (-504)/27?
-4
Calculate (-6 - -9)*49/(-63)*3.
-7
Evaluate -9 + -4 + 9 - 4/2.
-6
What is the value of 7/(294/28)*18/4?
3
Calculate 2*(-69)/33 - 4/(-22).
-4
Evaluate 19/(-266) - (-207)/252.
3/4
(3 - 5 - 12/(-4))/(-1)
-1
What is the value of (9 - 948/105)*(3 - 8)?
1/7
What is the value of 4/(-42)*(-126)/36?
1/3
-5 - ((-6 - -8) + 68/(-10))
-1/5
What is the value of 72/84 - 51/84?
1/4
Evaluate (-2 + 28/21)/6.
-1/9
What is the value of (3/12 + (-1)/(-4))*-10?
-5
Evaluate (-9)/12 + -58*1/(-56).
2/7
2/(-6) - 85/51
-2
Evaluate 252/(-66) + (-2)/11.
-4
Evaluate ((-3)/(-90))/(15/36).
2/25
Calculate (-9 + 102/12)*3.
-3/2
3*-1*10/(-4 + -6)
3
Calculate 0*(28 - 29)*(-1 + 0).
0
What is the value of 33/(-18) + 2 + 4/(-6)?
-1/2
Calculate 2 - 90/48 - (-207)/648.
4/9
Calculate ((-1656)/(-621))/((-14)/6 + 2).
-8
What is (-5)/((-5)/(-3)) + 84/30?
-1/5
Evaluate (-308)/70 + 2/5.
-4
Evaluate ((-26)/(-10) + -3)*10.
-4
Evaluate 77/11*-2*(-2)/7.
4
Evaluate (36/(-90))/((-12)/5).
1/6
What is -29 - -19 - (-204)/21?
-2/7
(6 + 4/(-4))/(-1)
-5
Evaluate (-4 - -1) + 5/((-10)/(-8)).
1
What is 11 - (33/(-132))/((-1)/8)?
9
Evaluate 2*6*(-10)/(-240).
1/2
What is 357/84 + 2/(4/(-10))?
-3/4
(-736)/138 + 1*7
5/3
Evaluate (8/(-80)*12)/3.
-2/5
Evaluate (0*4/(-20))/(-5).
0
Evaluate 1*81/63 - 1.
2/7
Evaluate 190/228*9/20.
3/8
Evaluate (-11 + (-273)/(-26))*14.
-7
Evaluate -6 + (-285)/(-20) + -8.
1/4
Evaluate -9 + 15/(-5) - -11.
-1
Evaluate 6240/5005 + 20/(-14).
-2/11
Calculate -2 - 3/66*-26 - -1.
2/11
(8/(-12))/(72/(-27))
1/4
Calculate 8/(-12) - (-20)/(-105).
-6/7
What is the value of (3/6)/(7*(-2)/4)?
-1/7
Calculate 0 + ((-6)/8 - 5/(-20)).
-1/2
Calculate 3/(-2)*((-8)/(-2))/2.
-3
Evaluate -7 + 33/5 - 42/(-5).
8
(-6160)/1001 + (-5)/((-5)/6)
-2/13
What is 25/(-9) - 52/234?
-3
Calculate (-35)/11 + (1 - (-45)/(-55)).
-3
(3 + 30/(-18))*-3
-4
Evaluate 2/(4*(0 - 1/2)).
-1
What is the value of (-216)/84 + (-12)/28?
-3
What is (8 - -1)/(0 + 1 + 0)?
9
(-2)/8*(-12)/(-45)
-1/15
Calculate ((-4)/(-3))/((-286)/(-39)).
2/11
What is ((-22)/(-231))/(3/7)?
2/9
Calculate 14 + 0 - (-12 - -19).
7
Calculate 1/3 + 56/12.
5
Evaluate ((-2)/5)/((-6)/(-90)).
-6
What is (-45)/6*(-23)/(-115)?
-3/2
What is the value of 10/12*-4 + (2 - -1)?
-1/3
(-544)/(-144) + (-8)/2
-2/9
Calculate 134/(-335) + (-17)/(-5) + -2.
1
What is (4/30)/(5/30)*-1?
-4/5
Calculate ((-23569)/78)/49 - (-1)/6.
-6
What is (2/(-13))/((-77)/1001)?
2
What is 560/94 - 8/(-188)?
6
What is (-2)/(0 - (4 - 5))?
-2
Calculate (68 - 79) + 36/2.
7
(15/12)/((-45)/20 - -2)
-5
What is the value of (5 - 174/30) + (-12)/10?
-2
What is the value of ((-325)/195)/((-2)/(-6))?
-5
What is (-2 + -4)*(-2)/12*-1?
-1
Evaluate 0*(80/288 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
d give f.
-30
Rearrange 60 + 80*w - 238*w + 135*w to p + i*w and give p.
60
Express (0*t**2 - 2*t**2 + 4*t**2)*(946707 - 11*t - 946664 + 123*t) in the form m + y*t**2 + f*t + i*t**3 and give y.
86
Rearrange -9661*h - 2 + 10964*h + 2 to a*h + b and give a.
1303
Express 0*s**3 - 7*s**3 - 6*s**3 + (-37*s**2 + 17*s**2 - s**2)*(-5*s + 0*s + 6*s) as v + p*s**3 + n*s + h*s**2 and give p.
-34
Express (3*o - 1 + 1)*(-165 - 46 + 85) + o + 4*o - 3*o + 0*o + 0*o + 2*o in the form p + z*o and give z.
-374
Express d**3 - 616*d**2 + 1146*d**2 - 563*d**2 - 2*d as t*d**2 + r + i*d**3 + f*d and give i.
1
Rearrange 776 - 348*i + 1271*i - 1550 + 774 to o + l*i and give l.
923
Rearrange 16 - 33 + 14 + 6 - 211*y to the form n + m*y and give m.
-211
Rearrange -39*p**4 + p + 127*p**4 + 3*p**3 - 42*p**4 - 56 - 47*p**4 to the form r*p**3 + a*p + m + x*p**4 + y*p**2 and give r.
3
Rearrange (0*n + n - 2*n)*((-1 + 1 - 2)*(-1 - 3 + 5) - 336 + 16 + 80)*(-1 + 4 + 1) to the form h + l*n and give h.
0
Rearrange -7754*o + 3614*o + 3769*o to the form r*o + s and give r.
-371
Rearrange -2*x + 4958*x**3 - 245 - 4954*x**3 - 84 to the form k + l*x + u*x**3 + i*x**2 and give i.
0
Express (-1 + 0 - 1)*(-5539*q + 5547*q - 19 + 99) in the form v*q + w and give v.
-16
Rearrange -562*a - 7 - 3073*a + 7 - 2085*a to b + s*a and give s.
-5720
Express -5915413*v**3 - v + 5911815*v**3 + 0*v**2 + v**2 - v**4 + 2 as g*v**3 + j*v + r*v**4 + u*v**2 + t and give u.
1
Express (-15 + 7*p + 15)*(-5 + 4 + 3)*(-258*p - 66*p + 52*p) in the form m + v*p**2 + a*p and give v.
-3808
Rearrange ((-2 - 2 + 2)*(-2 + 0 + 3) + 3 - 1 - 1)*(92 - 13*g**2 - 92 + (-184*g - 10*g + 58*g)*(5 - 1 - 2)*(3*g + 0 + 2 - 2*g)) to p*g**2 + v + r*g and give p.
285
Express (2*d + 2 - 2)*(2*d - 3*d - d) + 2 - 2*d**2 - 2 + 7321*d - 14654*d - 5 + 7327*d + 18*d**2 as z*d**2 + x + a*d and give z.
12
Express 3*o**3 - 3*o**3 - 3*o**3 + (-55*o + 339*o - 72*o)*(0*o + 0*o - 10*o**2) as c*o**2 + i + r*o**3 + y*o and give r.
-2123
Express -3 + 3476*x - 2719*x - 2516*x as h + m*x and give h.
-3
Rearrange -34508*f**2 + 11*f - 34534*f**2 + 69072*f**2 to l*f + w*f**2 + i and give l.
11
Rearrange -30773 + 2012*s + 30773 to the form a*s + b and give a.
2012
Rearrange (486778 + 3997*m - 486778)*(5*m - 3*m - 3*m + (-m + 3 - 3)*(-2 + 5 - 2)) to the form j*m + s + y*m**2 and give s.
0
Rearrange -2*g + 4585*g**2 + 2*g - 2427*g**2 - 16*g**3 + 18*g**3 to x + u*g + k*g**3 + j*g**2 and give j.
2158
Rearrange (0 + 3 + 1)*(2*j + 2*j - 3*j) + 4*j - 1207 + 1196 + 0*j to the form h + d*j and give d.
8
Express (h + 0*h - 2*h + (5 + 2 - 5)*(0 + 2*h + 0) + h + 5 - 5)*(-2888*h + 2886*h + 157 - 2) in the form a*h + t*h**2 + y and give a.
620
Rearrange 7*p - 4*p**4 - p**4 - 7*p**2 - 6*p**3 + 8*p**2 + 3 + 2*p**2 + 4*p**4 to the form s*p**3 + f*p**4 + t*p**2 + d + m*p and give s.
-6
Express 4*h + 3451 - 12*h**2 - 6903 + h**3 - 4*h**3 + 7*h + 3453 as i*h + y + z*h**2 + w*h**3 and give z.
-12
Rearrange -917 - 149*c + 1815 + 2*c**2 - 904 to the form t*c**2 + l*c + r and give r.
-6
Express -1 + 6*j**2 - j + 4*j - 5*j**2 + (-205*j + 513 - 513)*(0*j - 4*j + 2*j) as f*j + w + g*j**2 and give f.
3
Rearrange -4*u + 4*u**3 + 259 - 165*u**2 - 765 + 257 + 251 + 3*u to the form l + v*u**2 + n*u**3 + c*u and give c.
-1
Express -55 - 50 - 160*a + 85 in the form w + r*a and give w.
-20
Rearrange 13558*x**2 - 676 - 682 - 678 - 677 + 2711 to l + v*x + y*x**2 and give v.
0
Rearrange 7874*w - 31381 - 31378 + 62759 to y + q*w and give q.
7874
Express -2*m**2 - m + 4*m**2 - 185841 + 185835 - 2*m - 19*m in the form n + b*m**2 + v*m and give b.
2
Rearrange -26*d**3 + 1420*d - 1420*d + (29*d - 59*d - 53*d)*(-d + d**2 + d) to t*d**2 + s*d + i*d**3 + k and give i.
-109
Rearrange 296*s**4 + 5341*s**4 + 3601*s**4 - 3*s**4 + s**4 + 3*s**4 + (s**4 - 2*s + 2*s)*(0 + 4 - 2) to the form l*s**3 + o*s**4 + y*s + d*s**2 + f and give o.
9241
Rearrange 100*s - 371*s - 360*s + (3 - 1 + 0)*(-s + 2*s - 2*s) + 3*s + 2*s - 6*s to the form u*s + p and give u.
-634
Express 3 - 636*d**2 + 1258*d**2 - d + 314*d**3 + 232*d**3 - 624*d**2 as t + n*d**3 + r*d**2 + y*d and give t
|
{
"pile_set_name": "DM Mathematics"
}
|
-12)/(-4))/(y + 41/2). Sort 2, u, 5/2 in increasing order.
u, 2, 5/2
Let p = -702/5 - -140. Let h = 7.3 - 8.29. Let l = 0.01 - h. Sort p, -0.3, l in increasing order.
p, -0.3, l
Let i = -0.0706 - -5.9706. Put i, 2, -2 in decreasing order.
i, 2, -2
Let a be (-2*3)/(3/(-9)). Suppose a = -c + 3*c. Let n = c + -13. Sort -2, n, 3.
n, -2, 3
Let g(f) be the second derivative of -f**3/3 - 17*f**2/2 - f. Let s be g(-6). Sort -2/5, s, 0, -3 in ascending order.
s, -3, -2/5, 0
Suppose -27*i + 53*i + 26 = 0. Sort 1/5, -2, i, -3/11 in decreasing order.
1/5, -3/11, i, -2
Let o = -160.975 - -159. Let z = o + -0.025. Suppose 0 = -0*s + 2*s - 6. Put -0.3, z, s in ascending order.
z, -0.3, s
Let y(p) be the third derivative of p**6/120 - p**5/5 + 11*p**4/24 + p**3/2 + 9*p**2. Let g be 7 + 1 + 1 + 2. Let f be y(g). Sort -5, -4, f in descending order.
f, -4, -5
Let w(a) = -a + 7. Let z be w(7). Suppose z = -0*j - j. Sort 3, -2, j in ascending order.
-2, j, 3
Suppose -4*j - 16 = -0. Suppose 3*p - 4 = -2*y, 2*p = 5*y - p + 32. Let u be 1 + y + 0 - (1 - -1). Sort u, 2, j in decreasing order.
2, j, u
Let u(i) = i**2 - 6*i + 7. Let r be u(2). Put r, 1, -17 in increasing order.
-17, r, 1
Let t(b) = b + 13. Let z be t(-14). Sort -10, z, -4/7, -2 in decreasing order.
-4/7, z, -2, -10
Let n(v) = -2*v**3 - 6*v**2 - 17*v + 4. Let t be n(-8). Let l be (t/(-63))/(-4) + -3. Let f = -0.05 - 0.45. Sort l, f, -2 in decreasing order.
l, f, -2
Let z(x) = -x**3 + 9*x**2 - 8*x - 4. Let v be z(8). Suppose -3*o = 3*n - 36, -4*n + 0*n = o - 12. Put v, o, 2 in ascending order.
v, 2, o
Suppose -3*t = 5*f + 35, f - 5*t + t - 16 = 0. Sort f, -4/7, 6, 4 in decreasing order.
6, 4, -4/7, f
Let p = 5.2 + -64.2. Let k = p + 57. Sort -5, k, 0.4 in descending order.
0.4, k, -5
Let f be (-1 - -2)*6/(-3). Suppose 2*w - 10 = -0. Suppose -w*x + 11 = 1. Sort f, x, -4.
-4, f, x
Suppose -25*h = 84 - 9. Suppose 4*z - 2*m - 10 = 0, 3*m + 5 = z - 5*z. Put z, -18, h in increasing order.
-18, h, z
Let b(a) = a**2 + 25*a + 111. Let h be b(-6). Let y(r) = 2*r - 5. Let z be y(4). Put h, 0, z in decreasing order.
z, 0, h
Suppose 64 = 84*c - 88*c. Put -4, c, -5 in descending order.
-4, -5, c
Let i = -2.732 + 0.032. Let z = i + 2.4. Put -0.1, z, -6 in ascending order.
-6, z, -0.1
Let s be (30/(-168)*4)/(-5). Put s, -2/7, 254 in ascending order.
-2/7, s, 254
Suppose -22*z + 32 = -18*z. Let f = 3.5 - 3. Let x = f - 1. Sort z, 5, x in descending order.
z, 5, x
Let a = 279 - 282. Suppose 3 = -2*m - r - 0, -20 = -4*r. Sort -5, 12, a, m.
-5, m, a, 12
Suppose -11*j = 4*y - 9*j - 14, 5*y - 25 = -5*j. Let p = -2 + 2. Suppose 3 = x - p. Sort -1, y, x.
-1, y, x
Let f = -1 - -6. Suppose 17 = 5*l - 4*y, 0 = -f*l + 2*l - 2*y + 19. Suppose 3*b = 7 - 4. Put b, l, -2/5 in descending order.
l, b, -2/5
Suppose -65 = -3*w + 5*b, 4*b = 4*w - 5*w + 16. Let o be (w/12)/(2/6). Suppose 0 = 4*c + 2*c + 6. Sort o, c, 0.
c, 0, o
Let o = -9.5 - -10. Put -2/11, -2/19, o, -0.2 in decreasing order.
o, -2/19, -2/11, -0.2
Suppose 0 = 720*c - 717*c - 9. Suppose 46 = 5*s - 4*m, 4*m - 2 = -3*s - 0*m. Suppose -4*g + s*g = 0. Put c, 2, g in increasing order.
g, 2, c
Let k(v) = v**2 + v - 8. Let t be k(3). Put -0.08, 2, t in descending order.
t, 2, -0.08
Let i = 367.02 - 363. Let t = -0.02 + i. Let x = 3.5 - t. Sort 0, 3, x.
x, 0, 3
Suppose 42*t = -10 - 32. Put -10, -20, t in descending order.
t, -10, -20
Let i = 6.2 - 6.6. Put 5, i, -6 in descending order.
5, i, -6
Let t be 4/(-6)*567/(-42). Let i = -3 + t. Suppose 2*u - i*u = -8. Sort 3, 5, u in decreasing order.
5, 3, u
Let f be (9/6)/(23/10 - 2). Sort -0.3, -26, f, 2 in decreasing order.
f, 2, -0.3, -26
Suppose -208 + 108 = -5*o. Put -2, o, -5 in decreasing order.
o, -2, -5
Let r = -450 + 449. Sort -3, 1, r in increasing order.
-3, r, 1
Let i = 0.066 - -40.934. Let g = -38 + i. Sort g, -1.1, 4 in descending order.
4, g, -1.1
Let s = -411 + 475. Sort 1, -4, s in decreasing order.
s, 1, -4
Suppose 0*s - 4*s = 4*l - 212, 0 = -l + 4*s + 78. Let h = 60 - l. Sort 0, 4, h, 3.
0, h, 3, 4
Suppose -4*d - 57 = -5*b, 5*d - 3*d + 25 = -b. Let l be (-23)/(-4)*(-1 - d). Sort 2, l, -4 in ascending order.
-4, 2, l
Suppose 0 = 6*z - 7*z + 3. Suppose 4*t - 5*o = 27, 2*t + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
2 and 0.024056.
25.243158
6459185626+-0.5
6459185625.5
Calculate -148517 - 396142.46.
-544659.46
Subtract 20835 from -8701815.
-8722650
Add together -6.26 and -656259185.
-656259191.26
What is -2.35834 minus 433971?
-433973.35834
Subtract 61153 from -0.16369269.
-61153.16369269
Subtract -5 from -144891777.572.
-144891772.572
Calculate 10203 - 70613119.
-70602916
Put together 42123361.938 and 17.56.
42123379.498
What is the distance between -14947574741.785 and -0.25?
14947574741.535
Add together 147290555246 and -37.71.
147290555208.29
What is 0.4 plus -10761528627?
-10761528626.6
What is 15 plus -306857789502?
-306857789487
Add together 1.142 and -0.04870640184.
1.09329359816
What is the distance between -18.8783199775 and -0.4?
18.4783199775
Calculate 3565 - -91.83538874.
3656.83538874
Work out 1692.23174 + 0.095524.
1692.327264
Add 12061842815937 and 7.
12061842815944
Add together -8 and 9.4340669719.
1.4340669719
Calculate 0.1 + 226781.6734732.
226781.7734732
Work out 6.451407 - 0.04448136.
6.40692564
Calculate 27143462850502 + 1.
27143462850503
Add together -14183081424535 and 3.
-14183081424532
0.2 - 19000857022.285
-19000857022.085
Add together 2045.37 and -105640772.
-105638726.63
Sum 8397 and -44464454733.
-44464446336
Total of -3.3260792 and -37458.
-37461.3260792
Calculate -16.9 - 662432447290.
-662432447306.9
Work out 5758618007 + 1.09.
5758618008.09
What is 111777440.40026 plus -6?
111777434.40026
What is -12561.3518 take away -47.4638?
-12513.888
Add together -326 and 1911572718.
1911572392
Add together -12367.002 and 291.46.
-12075.542
Calculate -0.03 + -14702328.783871.
-14702328.813871
What is 0 + -178481123824?
-178481123824
What is -462.6 minus 2252174?
-2252636.6
Work out -24.79 + 29550973.39.
29550948.6
Add 26768057296 and 448.
26768057744
0.7+13710827919268
13710827919268.7
Work out 0.0917 - -3308707923.
3308707923.0917
What is the distance between -228970028338 and -4?
228970028334
0.03+-3204003.86493
-3204003.83493
Add -11201215177244 and -0.034.
-11201215177244.034
What is 0.03143 minus 1040526447?
-1040526446.96857
What is 28734577153 + -21?
28734577132
What is -0.8122 less than 23542300751?
23542300751.8122
Calculate 3641.8039365 - -189.
3830.8039365
What is the distance between 240489.413647 and 10?
240479.413647
Add together 1063 and 4920069580.
4920070643
Subtract 0.5 from 2720518156838.
2720518156837.5
What is the difference between 21411 and 5510695?
5489284
What is -224121983 less than 2328.15?
224124311.15
-1 + 59204566906196
59204566906195
Add -67806 and -35857.919.
-103663.919
Calculate -330457981347 - -2.
-330457981345
Subtract -1290767470 from 279.
1290767749
What is the difference between 0.92 and 2077971405620?
2077971405619.08
Calculate 106034.806866 - -440.
106474.806866
Add -0.5 and 2451.2316347.
2450.7316347
Total of 0.4 and 6.6931403429.
7.0931403429
What is the difference between -138 and -313941230910?
313941230772
4.92334 - -12618.22
12623.14334
Sum 1.81 and 6446994.
6446995.81
Total of 3.94998921 and 1633.
1636.94998921
30.30863+-123616
-123585.69137
-185521831+-695569
-186217400
Subtract -38 from 71887523040.7.
71887523078.7
What is 10.71 less than -2783239.6878?
-2783250.3978
What is -2 take away 18533914010?
-18533914012
What is 1648595.856043 plus -0.3?
1648595.556043
What is 4.0447 plus -0.114486218?
3.930213782
Add together -353986070 and 375.9.
-353985694.1
0.28+74.29463441
74.57463441
Work out -59357 + -257178355.
-257237712
Add 0.29773524 and -276.93.
-276.63226476
Sum 19728039707542.7 and -1.
19728039707541.7
What is the distance between 56.98503566 and -10.8?
67.78503566
What is -0.227845 plus -323234463?
-323234463.227845
-3.14258227614+19
15.85741772386
Calculate 2.03 - 273942.34609.
-273940.31609
Calculate 4944083155 - 135.
4944083020
What is the distance between -1468788.754 and -48?
1468740.754
What is 1 take away 9760264613377?
-9760264613376
What is -25829 take away 412511.0512?
-438340.0512
What is 0.0741 + -0.26761617528?
-0.19351617528
Total of 19239678 and -0.3438.
19239677.6562
What is 0.2 less than -0.41281383874712?
-0.61281383874712
Calculate -0.118878575777 + 737.
736.881121424223
Work out -2 - 0.631254338136.
-2.631254338136
What is -324096957 - -7275?
-324089682
Add 22839643.41 and -5.811.
22839637.599
What is -19.5094 less than -74999235?
-74999215.4906
What is -1992.2 less than -24773186?
-24771193.8
Work out -207212993.239 - -121.
-207212872.239
Work out 0.3 - -21553821130846.
21553821130846.3
Add together 0.0528 and -1194.86284.
-1194.81004
Add together -7.25 and 3.97555544.
-3.27444456
Work out -268853481995 + -0.06.
-268853481995.06
|
{
"pile_set_name": "DM Mathematics"
}
|
n = 66435921/238 - 279142. Let f = n - 9/14. Which is the nearest to 0? (a) 0.3 (b) f (c) 1
b
Let n = -196.3 + 196. Which is the closest to -7? (a) n (b) 2/7 (c) 1
a
Let s = -747/4 + 187. Which is the nearest to 1? (a) -5 (b) 15 (c) s (d) 0.1
c
Let a = 3 + -4. Let m = -0.025592 - -0.325592. What is the nearest to m in -0.7, 3, a?
-0.7
Let i = 2/75 - -136/525. Let a = 3.8 + -8.8. Let f = 0 - -1. What is the closest to 0.2 in f, a, i?
i
Let w = 29843/47 - 635. Which is the closest to w? (a) -3 (b) 0.5 (c) -2/15
c
Let x = -0.04 - -2.04. Let s = -1.9 + x. Let q = -2 - -2.2. What is the nearest to s in 3/2, q, 3?
q
Let d = 105 - 277. Let l be d/(-154) + 2*(-4)/14. What is the closest to 1 in l, 2, -0.3?
l
Let s = 4.5 - 4.2. Suppose 2*x - 3*x = 0. Which is the nearest to 1? (a) x (b) 4 (c) s
c
Suppose 3*y + 25 = -4*x, -2*y + 6 = -2*x - x. Suppose -3*t + 5*t = 20. Let v be 4/t + y - -3. Which is the closest to -2/3? (a) v (b) -1/2 (c) 1/11
b
Let v = 0.4 + -0.31. Let u = -0.21 - v. Let m = -0.1 + u. Which is the nearest to 1/2? (a) 1 (b) m (c) 3/5
c
Let n be (49/14 + -3)/(78/24). Let q = -8.5 - -0.5. Let s(d) = d**2 + 6*d + 1. Let k be s(-5). Which is the closest to q? (a) -0.2 (b) n (c) k
c
Suppose -4*r + 5 = 3*k, 2*k - 7*r + 4 = -6*r. Which is the closest to -0.1? (a) 3/8 (b) 5 (c) k
a
Let z = 6.3 - 22.3. Let d = 16.1 + z. Which is the nearest to d? (a) 3 (b) 7 (c) -2
c
Suppose 5*z = -15, -5*y = z - 0*z + 8. Let i = -3 + 0. Let p = i + 6. Which is the nearest to 0.1? (a) p (b) y (c) -4
b
Let u = -18.9 + 6.9. Let q = 11.9 + u. Which is the nearest to q? (a) 0.09 (b) -0.2 (c) -2
b
Suppose 4*r = 2*l - 22, -138 = 5*l + 3*r - 128. Let y = -0.7 + 0.2. Which is the nearest to l? (a) -1 (b) -4 (c) y
c
Let v be (6/(-7))/3 - -1. What is the nearest to -2/7 in v, 0.5, -3/2?
0.5
Let l = 3.4 - 6.4. What is the closest to 1/3 in 36, 0.3, 1/4, l?
0.3
Let q be 2/(-4)*4/3. Let w = 1/8896 + -17825/293568. Which is the nearest to q? (a) w (b) -3 (c) 5/2
a
Let i be (-123)/21 - 17/119. Let b = 0.11 - 0.01. What is the closest to b in i, 0.5, 0.03?
0.03
Let b = 241/56 + -31/7. Let f = -0.12 - -1.12. What is the closest to 0 in 0.1, b, f?
0.1
Let p be (296/370)/((-2)/5 + 2). Let z be (-8)/(-18)*2/(-4). What is the closest to p in 2, -3/2, z?
z
Let m = -0.2 - -0.1. Let w = 10/101 - -81/202. Which is the closest to w? (a) -1 (b) 1 (c) m
b
Let k = -78/7 + 11. Let z = -17 + 17.1. What is the closest to z in -4, 5, k?
k
Let n = 250 - 249.96. Which is the nearest to n? (a) 0.03 (b) 3 (c) -4 (d) -0.4
a
Let v(o) = 2*o**2 + 9*o - 1. Let q be v(-7). Suppose d - q = -16*d. What is the closest to d in 0.3, -2, -1/4?
0.3
Let m be 6/(-21) - 74/(-14). Let d = -102 - -63. Let r = 38 + d. Which is the nearest to r? (a) m (b) -2 (c) 3/2
b
Let r = -21.3 + 21. Let i(v) be the first derivative of -v**3/3 + 3*v**2/2 - 2*v - 1. Let f be i(2). Which is the closest to 0? (a) f (b) r (c) -0.1
a
Let u be -4 + 2 + 1*-44. Let v = u + 183/4. Let p = 35 + -34.6. What is the closest to -1 in v, 4, p?
v
Let y = 69.4 + -71. Which is the nearest to -1? (a) -3 (b) -0.1 (c) -0.5 (d) y
c
Let f = -11.5 - -12. Let o = -16 - -16.3. What is the closest to -1 in o, -0.1, f?
-0.1
Let s = -380.9 + 381. Let z be 6/(-4) + (-4)/(-2). What is the nearest to z in s, 0.5, 0.2?
0.5
Suppose -22*l + 6 = 3*a - 21*l, l = 3*a. Let n = -10 - -15. What is the closest to 0 in a, -6/5, n?
a
Let m be 2 + 5/(25/(-20)). Let d = 58.6 - 59. Which is the nearest to 0.08? (a) d (b) -4 (c) m
a
Let f = 118 - 122. What is the nearest to -0.28 in 3/7, f, 4?
3/7
Let z be 6/(-9) + (-2)/(-1). Let f = 1685.4 + -1685.4. Which is the closest to f? (a) z (b) 0 (c) 4
b
Let i = 420 + -421. Which is the nearest to i? (a) -3/2 (b) 0.4 (c) -3 (d) 2
a
Let h(f) = -6*f + 8. Let v be h(2). Let p be -2*((-3 - v) + -2). Suppose -q + 5 - 1 = 0. Which is the closest to -1? (a) p (b) -2 (c) q
b
Let z = -184 + 182. Which is the nearest to -2? (a) -4/5 (b) z (c) 52
b
Let q = 134 + -130. Let x = 91 + -92. Which is the closest to x? (a) q
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the third derivative of i*n**2 + 3 + 3*n**5 - 2 - 1 wrt n?
180*n**2
Let b(x) = -21*x + 24. Let u(a) = -10*a + 1 + 9*a + 0. Let w(y) = -b(y) + 15*u(y). What is the first derivative of w(l) wrt l?
6
Suppose -w - 10 = -6*w. Find the second derivative of -w*m + 4*m + m**2 - m**5 - m**2 wrt m.
-20*m**3
Let a = -6 + 9. What is the second derivative of -1 + a*g + 8 - 7 + 4*g**4 wrt g?
48*g**2
Let z(a) = 9*a**4 + 4*a**2 - 5*a + 5. Let q(u) = 8*u**4 + 4*u**2 - 4*u + 4. Let j(c) = 5*q(c) - 4*z(c). What is the third derivative of j(w) wrt w?
96*w
Suppose 5*l + 27 = 3*f - 16, 15 = 5*f + 3*l. Find the third derivative of -i**f + 4*i**6 - 2*i**2 - 2*i**6 wrt i.
120*i**3
Let r(i) be the first derivative of 4*i**6/3 + 4*i**2 + 3. Find the second derivative of r(c) wrt c.
160*c**3
Suppose -f - 9 + 4 = -h, 10 = 4*f + 2*h. Find the second derivative of f*i**2 + 2*i**3 + 0*i**2 - 6*i + 8*i wrt i.
12*i
Let u = 13 - 9. What is the first derivative of -2 + u - c + 2*c - 3 wrt c?
1
What is the third derivative of 4*h**4 - 50*h**4 + 19*h**4 + 18*h**2 wrt h?
-648*h
Let b(o) = -o**2 - 2*o. Let z be b(-2). What is the second derivative of 2*k**4 - k + z*k - k wrt k?
24*k**2
Let c(t) = -4*t**3 + 6*t**4 + 4*t**3 + 0*t**4 + 20*t. Let z(u) = -u**4 - u. Let s(b) = -c(b) - 10*z(b). What is the second derivative of s(d) wrt d?
48*d**2
Find the third derivative of 3 - 3 + 25*l**4 - 8*l**2 wrt l.
600*l
Let p be 68/16 - (-2)/(-8). Let v be ((-2)/3)/((-1)/3). Find the third derivative of -t**p - t**4 + 4*t**2 - v*t**2 wrt t.
-48*t
Let u(l) be the second derivative of -l**11/6930 - l**7/315 - l**4/3 - 2*l. Let y(b) be the third derivative of u(b). Find the third derivative of y(a) wrt a.
-960*a**3
Suppose 0*k - 51 = -3*k. Find the second derivative of -23*n**5 + 9*n + k*n**5 + 10*n**5 wrt n.
80*n**3
Find the second derivative of -4*g**5 + 6*g - 3*g + g**5 wrt g.
-60*g**3
Suppose 1 = -0*w - w. Let b be 2 - (0 + 3)/w. Find the second derivative of -r - 2*r**b + 0*r - r wrt r.
-40*r**3
Let o(u) = u**3 + 3*u**2. Let f(x) = -x**3 - 2*x**2. Let s(a) = -a + 1. Let w be s(-4). Let v(m) = w*f(m) + 4*o(m). Find the third derivative of v(g) wrt g.
-6
Let u(j) = -3*j + 2. Let z be u(-1). What is the third derivative of -z*v**2 + 6*v**3 + v**2 - v**2 + 2*v**2 wrt v?
36
Let b = -2123/12 - -177. Let n(w) be the second derivative of 3/2*w**2 - b*w**4 + 2*w + 0 + 0*w**3. What is the first derivative of n(g) wrt g?
-2*g
Let r(w) be the second derivative of -9*w**6/10 - 5*w**2 + 8*w. What is the first derivative of r(f) wrt f?
-108*f**3
Let p(z) be the third derivative of 0*z + 0 + 1/8*z**4 - z**3 - z**2. What is the first derivative of p(d) wrt d?
3
Let z(m) be the third derivative of m**7/280 + m**4/8 - m**3/2 + 2*m**2. Let n(p) be the first derivative of z(p). What is the derivative of n(r) wrt r?
9*r**2
Let z(t) be the second derivative of -11*t**5/20 + 2*t**2 + 9*t. Differentiate z(u) with respect to u.
-33*u**2
Let v(x) = 2*x - 7. Suppose 5*z - 21 = 2*w, 3*w = 3*z + 2*z - 24. Let g(m) = m - 8. Let i(a) = w*v(a) + 2*g(a). What is the derivative of i(l) wrt l?
-4
Let f be (2/(-4))/(-12 + 9). Let w(n) be the first derivative of -n**2 + f*n**6 + 0*n + 0*n**4 + 0*n**3 + 0*n**5 + 1. Find the second derivative of w(m) wrt m.
20*m**3
Let g(k) = -k**2 - 2*k + 3. Let u be g(-3). Let t be (1 + 0)*3*1. What is the second derivative of -2*d**2 + t*d + u*d - 4*d wrt d?
-4
Differentiate -34*l**3 + 28 + 14*l**4 + 34*l**3 wrt l.
56*l**3
Let d(c) be the second derivative of 0 - 1/21*c**7 + 0*c**2 + 0*c**5 + 1/2*c**3 + 0*c**6 + 0*c**4 + 4*c. What is the second derivative of d(s) wrt s?
-40*s**3
Let h be 2 - (-3 + 3)/(-3). What is the second derivative of -5*t**4 - 7*t**4 + h*t + 17*t**4 wrt t?
60*t**2
Let u(j) = j**2 - 1. Let w be u(-2). Differentiate -4 - 2 + 3 - a**w + 7 wrt a.
-3*a**2
Suppose 0 = 2*z - 0*z - 6. Suppose -4*o + 3*s = 5, -s = -5*o + 1 + 1. Differentiate 3*h**3 + o - z - h**3 wrt h.
6*h**2
Let u(z) = 2*z - 3. Let a be u(3). Let w = 0 + a. Find the second derivative of -2*t**2 - 3 + w - 2*t wrt t.
-4
Let a(p) = -69*p**3 + 56*p**2 + 9. Let m(l) = 17*l**3 - 14*l**2 - 2. Let u(j) = 2*a(j) + 9*m(j). What is the third derivative of u(o) wrt o?
90
Suppose q - 2*u + 6*u - 18 = 0, -u = -2*q. What is the second derivative of 2*s**2 + q*s - 2*s + s wrt s?
4
Suppose 0 = 4*u - 0*u - 12. Differentiate 1 + 3 + q**u - 5 wrt q.
3*q
|
{
"pile_set_name": "DM Mathematics"
}
|
from {d: 4, f: 6, b: 7}.
3/68
What is prob of picking 2 p and 2 b when four letters picked without replacement from {p: 3, b: 1, y: 1}?
0
Three letters picked without replacement from pmoppvommo. What is prob of picking 1 m and 2 o?
3/40
Three letters picked without replacement from {o: 2, c: 16}. Give prob of picking 1 c and 2 o.
1/51
Calculate prob of picking 1 s and 3 p when four letters picked without replacement from ppppppspppppppp.
4/15
Two letters picked without replacement from {c: 1, i: 2, j: 1, n: 1}. Give prob of picking 1 j and 1 i.
1/5
What is prob of picking 2 k, 1 b, and 1 r when four letters picked without replacement from {b: 1, k: 2, h: 1, r: 2, o: 1, t: 1}?
1/35
What is prob of picking 2 v and 1 y when three letters picked without replacement from bbvvvybbbz?
1/40
Two letters picked without replacement from {r: 2, s: 2, e: 6, w: 2}. Give prob of picking 1 w and 1 s.
2/33
What is prob of picking 3 j when three letters picked without replacement from {j: 10}?
1
What is prob of picking 1 j and 1 t when two letters picked without replacement from ujt?
1/3
Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, r: 11}.
1/12
Two letters picked without replacement from awwccgjww. Give prob of picking 1 w and 1 c.
2/9
Calculate prob of picking 2 q when two letters picked without replacement from pppppxqppxqxpxqp.
1/40
Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, b: 1, t: 1, y: 2}.
1/10
Calculate prob of picking 1 m and 2 b when three letters picked without replacement from mbppbphpbpphhpm.
6/455
Two letters picked without replacement from {m: 2, f: 1, h: 1, s: 3, r: 1, k: 5}. Give prob of picking 2 k.
5/39
Four letters picked without replacement from {v: 8, u: 5, y: 3}. Give prob of picking 2 v and 2 y.
3/65
Two letters picked without replacement from vvnn. What is prob of picking 2 v?
1/6
Three letters picked without replacement from {v: 7, g: 3}. Give prob of picking 2 v and 1 g.
21/40
Two letters picked without replacement from {f: 1, j: 1, w: 2, p: 3}. Give prob of picking 1 j and 1 w.
2/21
Calculate prob of picking 3 o and 1 p when four letters picked without replacement from {o: 4, k: 7, b: 2, p: 1}.
4/1001
Three letters picked without replacement from jvvvjvfvvvvvwvfjvq. Give prob of picking 2 j and 1 v.
11/272
Four letters picked without replacement from jjkkjjerejjekjkekjjj. What is prob of picking 1 r and 3 e?
4/4845
Four letters picked without replacement from {n: 5, v: 9}. What is prob of picking 1 n and 3 v?
60/143
What is prob of picking 1 a, 2 t, and 1 g when four letters picked without replacement from {q: 1, v: 1, t: 5, g: 3, a: 2}?
4/33
What is prob of picking 1 t and 2 y when three letters picked without replacement from ymnntnnnmttyn?
3/286
Calculate prob of picking 1 c, 1 j, and 1 d when three letters picked without replacement from {d: 1, g: 4, i: 1, c: 4, j: 1}.
4/165
Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {j: 1, v: 2, n: 1, m: 1, w: 1, f: 2}.
1/14
What is prob of picking 1 x and 1 o when two letters picked without replacement from {o: 7, q: 1, x: 1}?
7/36
Calculate prob of picking 3 g and 1 f when four letters picked without replacement from afgnaagrggf.
4/165
Three letters picked without replacement from lhshsssxslhhixxh. What is prob of picking 1 s, 1 h, and 1 i?
5/112
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from vxkhvvnxvxkvxn.
2/91
Two letters picked without replacement from {o: 1, y: 2, i: 1}. What is prob of picking 1 o and 1 i?
1/6
Three letters picked without replacement from mllcrfllf. What is prob of picking 1 m, 1 c, and 1 r?
1/84
Two letters picked without replacement from {e: 9, t: 3}. Give prob of picking 2 t.
1/22
What is prob of picking 1 b, 1 s, 1 u, and 1 i when four letters picked without replacement from ubfbsssffsi?
4/165
What is prob of picking 3 h when three letters picked without replacement from {h: 10}?
1
Calculate prob of picking 1 s, 2 h, and 1 u when four letters picked without replacement from {w: 3, s: 4, u: 1, h: 2, v: 1, b: 7}.
1/765
What is prob of picking 2 l, 1 c, and 1 b when four letters picked without replacement from ffulcbuwuwwuluful?
3/2380
Three letters picked without replacement from eennennncuuuuuuun. Give prob of picking 1 c, 1 n, and 1 e.
9/340
Three letters picked without replacement from {g: 3, m: 12}. Give prob of picking 1 m and 2 g.
36/455
Four letters picked without replacement from {b: 5, x: 2, j: 6}. What is prob of picking 3 j and 1 b?
20/143
Two letters picked without replacement from {u: 3, e: 8, f: 5}. Give prob of picking 2 e.
7/30
What is prob of picking 1 o and 2 b when three letters picked without replacement from bbllobboolboblo?
15/91
Three letters picked without replacement from {g: 2, a: 3}. Give prob of picking 3 a.
1/10
Calculate prob of picking 3 m when three letters picked without replacement from {j: 4, m: 7, v: 1, h: 2, b: 4, l: 1}.
35/969
What is prob of picking 4 n when four letters picked without replacement from unfnmmnunmmnundu?
3/364
Calculate prob of picking 1 i and 2 s when three letters picked without replacement from aiaiisfixsxixxisf.
9/340
What is prob of picking 1 j and 1 o when two letters picked without replacement from {a: 8, o: 2, y: 5, j: 2}?
1/34
Calculate prob of picking 2 o when two letters picked without replacement from ooewoeoweoeoeoe.
1/5
Three letters picked without replacement from {h: 1, b: 3}. Give prob of picking 1 h and 2 b.
3/4
Calculate prob of picking 1 x and 1 e when two letters picked without replacement from ezzzxxzzzz.
2/45
What is prob of picking 2 u when two letters picked without replacement from {u: 9, e: 2}?
36/55
Two letters picked without replacement from zdbfk. What is prob of picking 1 z and 1 k?
1/10
Four letters picked without replacement from {t: 2, k: 3, f: 3}. Give prob of picking 2 f, 1 t, and 1 k.
9/35
Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, w: 3, h: 10, k: 1}.
1/204
Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {i: 1, t: 1, f: 1, c: 1, q: 1, x: 2}.
1/21
Calculate prob of picking 3 f and 1 k when four letters picked without replacement from {s: 1, k: 7, f: 12}.
308/969
What is prob of picking 2 n when two letters picked without replacement from nyyycycncnnnnnyycy?
7/51
What is prob of picking 1 c and 1 n when two letters picked without replacement from cbbbbcnccbc?
1/11
Calculate prob of picking 1 p, 1 e, and 2 n when four letters picked without replacement from p
|
{
"pile_set_name": "DM Mathematics"
}
|
Evaluate (25/20)/(100/440).
11/2
Evaluate (-5)/105*-7*-4*-3.
4
(14/(-3))/7*(-9)/7
6/7
Evaluate (4/(-8))/(287/164).
-2/7
Calculate -8*((-24)/(-1200))/((-4)/10).
2/5
Evaluate (54/18)/(1*(-6)/4).
-2
What is the value of 1*2/2*(-2096)/524?
-4
What is the value of ((-184)/16)/23*16?
-8
Evaluate 100/(-12)*(-15)/25.
5
Evaluate (6/4)/3*12/18.
1/3
Evaluate 3*(-2)/2*2/2.
-3
Calculate (1*1*-1)/((-20)/10).
1/2
What is the value of (34/119)/(3/21)?
2
(-4)/(-30)*18/(-4)
-3/5
Evaluate ((-2)/1)/1*(-381)/(-254).
-3
What is the value of ((-3)/12)/(10/(90/9))?
-1/4
Calculate (42/28)/((-4)/8).
-3
What is 2/(-4)*0/(-17)?
0
Evaluate 975/130*3*(-4)/(-15).
6
What is the value of ((-408)/30)/(-34)*30/4?
3
(28/14)/(8/1)
1/4
What is the value of (-8)/(-4)*(-48)/(-32)?
3
Calculate ((-45)/162)/((-35)/84).
2/3
Evaluate -27*(-12)/(-36)*(-2)/12.
3/2
(1/3)/((-20)/(-12))
1/5
Evaluate 7/(63/(-72))*-1.
8
Evaluate (4/14)/((-3)/(-210)*5).
4
What is -1*(-2)/18*3*0?
0
What is the value of (1*32/(-12))/((-24)/54)?
6
(-5*(-4)/15)/((-4)/6)
-2
What is (1/(1/(-2)))/(113/(-226))?
4
((-3)/(3/8))/(2*-5)
4/5
Calculate -7*(-2)/693*9.
2/11
Evaluate (6/24*-6)/((-1)/2).
3
What is the value of (-11)/(264/90)*2/5?
-3/2
What is the value of ((-10)/(-35))/((-128)/56)?
-1/8
Evaluate (-6)/(((-96)/(-80))/(3/5)).
-3
Calculate 3/3*136/17.
8
What is 3/174*(32/4)/2?
2/29
Evaluate (1/(-2))/((-5)/(-40)).
-4
What is the value of (2/2)/((-85)/(-17))?
1/5
What is the value of (((-36)/(-15))/6)/(6/(-10))?
-2/3
Evaluate (-21)/14*1*3/(-6).
3/4
What is the value of (((-108)/(-40))/9)/((-3)/(-4))?
2/5
Evaluate (-25)/(-175)*14/(-2).
-1
What is the value of 16/(-80)*(-15)/(-9)?
-1/3
What is ((-3)/5)/(162/(-60))?
2/9
Calculate 2/(((-4)/12)/(-1)*6).
1
What is ((-2)/(-2))/(2/18)?
9
((-2)/(-2))/((98/4)/(-7))
-2/7
Evaluate ((-15)/2)/(-5)*(-8)/30.
-2/5
What is 1/(-5)*(-55)/(-11)?
-1
What is the value of (-126)/72*(2*4)/(-2)?
7
What is the value of -3*1/(-1)*(-23)/23?
-3
What is ((-15)/9)/((-16)/(-24))?
-5/2
Evaluate ((-1)/((-1)/(50/5)))/(-2).
-5
Calculate 1*54/(-4)*(-10)/(-15).
-9
Evaluate (7/245*-10)/((-18)/14).
2/9
What is ((-3)/9)/(((-8)/12)/(-2))?
-1
What is the value of ((-18)/(-15))/(7/(105/6))?
3
What is ((-21)/63)/((-4)/(-2))?
-1/6
What is 0/(-1)*2/4?
0
1302/(-93)*(-2)/28
1
What is the value of 1*9/27*0?
0
What is 1/(-2*(-5)/(-30))*1?
-3
What is the value of 6/(-10)*4/((-24)/(-6))?
-3/5
What is 0*((-20)/12)/(-5)?
0
2/(-2)*27/9
-3
What is ((-19)/95)/((-3)/(45/2))?
3/2
What is (155/(-31))/((-2)/2)?
5
What is the value of 10*8*7/112?
5
(-1)/(-6)*(-80)/(-100)
2/15
((-6)/(-78))/(23/46)
2/13
What is 8/10*55/22?
2
Evaluate (56/(-16))/((-28)/40).
5
What is (24/15)/4*(-5)/3?
-2/3
Calculate 10/((-50)/10)*3/(-8).
3/4
Evaluate ((-80)/(-60))/(3*(-4)/(-54)).
6
What is 1/(-46)*4/(-1)?
2/23
2/((-4)/3)*(-880)/(-4620)
-2/7
Evaluate ((-2)/8*-6)/(-9*1).
-1/6
What is 1*(-9)/3*(-14)/168?
1/4
Evaluate (24/36)/(-1)*-3.
2
Evaluate 12*((-7)/(-3))/7*1.
4
What is the value of ((-5)/(-2))/(45/36)?
2
Evaluate (1/2)/((-6)/(-18)).
3/2
What is (9/((-810)/10))/(1/(-6))?
2/3
What is the value of (6/(-15))/(-3*4/120)?
4
36/30*(-15)/6
-3
Calculate (21/27)/(28/252).
7
What is ((-6)/(-2))/((-5)/((-30)/63))?
2/7
(((-9)/2)/(-9))/((-2)/16)
-4
What is the value of 58/(-261)*2*3/(-4)?
1/3
What is (-108)/270*14/(-4)?
7/5
Calculate (-72)/81*(18/(-4))/(-3).
-4/3
Evaluate (4/(-42))/(((-128)/(-12))/16).
-1/7
(8/(-12))/(24/18)
-1/2
What is the value of (-15)/3*-4*2/(-10)?
-4
Calculate ((-28)/(-14))/(-2)*1.
-1
What is -1*-4*10/(-8)?
-5
What is the value of (-5*6/(-15))/(2*-1)?
-1
Calculate (-3*(-10)/(-60))/(1/10).
-5
Calculate (-54)/(-27)*9/6.
3
20/(-5)*1*(-1)/2
2
Calculate (-1)/((-4)/(24/6)*2).
1/2
Evaluate 1/(((-2)/(-4))/1).
2
What is ((-2)/(-12)*4*-3)/14?
-1/7
Evaluate (8/14)/((-58)/(-406)).
4
Calculate (15/105)/(1/(-7)).
-1
Calculate 28*(-15)/(-60)*-1.
-7
Calculate (6/(-9))/(((-11)/(-9))/(-11)).
6
Calculate 1*(-8)/(-10)*5.
4
Evaluate (-8)/40*-5*2/4.
1/2
Evaluate 4/3*(-30)/50.
-4/5
What is 1/(2/(4*5/(-50)))?
-1/5
What is the value of -6*4/288*-3?
1/4
Evaluate (6/(4/32*6))/14.
4/7
What is the value of (174/290)/(2/10)?
3
What is the value of (-1*(-1)/(-7))/(1/(-3))?
3/7
What is -4*(-1)/8*0?
0
Evaluate ((-1)/((-3)/2))/(4/3).
1/2
0/(((-7)/70)/(3/(-30)))
0
((-6)/4)/((-12)/(-16))
-2
What is (-22)/88*(-4)/1?
1
3*(-6)/36*4/1
-2
What is 4/64*4/(-2)*1?
-1/8
What is 3*7/42*-10?
-5
|
{
"pile_set_name": "DM Mathematics"
}
|
m(y) = 0. Calculate y.
-18, 1/7
Let a(h) be the first derivative of -h**6/300 - 3*h**5/50 - 2*h**4/5 - 16*h**3/15 - 18*h**2 - 3*h - 92. Let f(p) be the second derivative of a(p). Factor f(d).
-2*(d + 1)*(d + 4)**2/5
Let 531*s - 1149/2*s**2 - 108 - 21/2*s**5 + 69/2*s**4 + 255/2*s**3 = 0. What is s?
-4, 2/7, 1, 3
Let i = 371369 - 371365. Factor -16/5 - i*d**2 + 34/5*d + 2/5*d**3.
2*(d - 8)*(d - 1)**2/5
Let r(t) be the first derivative of 29*t**4/22 + 178*t**3/33 + 6*t**2/11 + 1228. Factor r(k).
2*k*(k + 3)*(29*k + 2)/11
Let 1/2*h**2 + 17161/2 - 131*h = 0. Calculate h.
131
Suppose 414*f + 948*f = 296*f - 210*f - 2410*f. Determine p, given that 1/4*p**4 + 3/8*p**3 + f + 0*p + 1/8*p**2 = 0.
-1, -1/2, 0
Let j(d) be the third derivative of 3*d**8/34 + 164*d**7/595 - 797*d**6/1020 + 2*d**5/255 + 55*d**4/204 - 2*d**3/17 - 1387*d**2. Solve j(h) = 0 for h.
-3, -2/7, 1/6, 1
Suppose -328*t + 205 = -287*t. Let x(j) be the second derivative of 12*j + 0 + 1/6*j**3 + 0*j**2 + 3/40*j**t + 29/72*j**4. Let x(u) = 0. Calculate u.
-3, -2/9, 0
Let f be (-20)/(-5)*((-3 - -2) + 2). Determine b so that 1 - 5*b**2 + f*b**2 - 2 + 0 - 1 - 3*b = 0.
-2, -1
Let z be (-11)/22 - (1 + 734/(-4)). Suppose -5 = -2*o - 1. Factor y**3 - z - y**o + 182.
y**2*(y - 1)
Let g(p) = p**3 + 14*p**2 + 19. Let c be g(-14). Let 63*z**2 + 196*z**4 - 31*z - 191*z**4 + 42*z**2 - 60*z**3 - c*z = 0. What is z?
0, 1, 10
Suppose 3*t + 2*c - 81 = 2*t, c + 69 = t. Let b = 75 - t. Factor -3 - 1/3*n**b - 2*n.
-(n + 3)**2/3
Let p be (-353 - -1)*((-45)/6 - -7). Let v = 1411/8 - p. Suppose 0 - v*o**2 + 9/8*o = 0. What is o?
0, 3
Let m(q) = 7*q - 328. Let c be m(-42). Let v = -3094/5 - c. Factor -12/5*a**2 + v*a - 4/5.
-4*(a - 1)*(3*a - 1)/5
Let w(l) = 12*l**4 - 24*l**3 + 36*l**2 + 36*l + 4. Let f(z) = -25*z**4 + 43*z**3 - 71*z**2 - 73*z - 9. Let h(y) = -4*f(y) - 9*w(y). Factor h(o).
-4*o*(o - 4)*(o - 2)*(2*o + 1)
Let r(p) be the first derivative of -p**4/14 - 34*p**3/21 - 76*p**2/7 - 120*p/7 + 2422. Factor r(c).
-2*(c + 1)*(c + 6)*(c + 10)/7
Let y be (-3*16/(-1440))/((-36)/(-240)). Let 4/9*q**3 - y + 2/3*q**2 + 0*q = 0. What is q?
-1, 1/2
Let j(r) = 5*r**3 + 7*r**2 + r - 7. Let l(h) = 7*h**3 + 7*h**2 + h - 7. Suppose -2*w = 4*i + 22, 0*i - 4*i = -4*w - 8. Let s(v) = i*l(v) + 4*j(v). Factor s(f).
-(f - 7)*(f - 1)*(f + 1)
Suppose -418369 - 185720 - 9*s**2 + 5*s**2 + 5000*s - 645911 - s**2 = 0. Calculate s.
500
Let c = -1419262/9 - -157697. Factor -2/3 - c*l + 1/9*l**3 - 4/9*l**2.
(l - 6)*(l + 1)**2/9
Let n(w) be the third derivative of 0 + 2*w**4 + 1/15*w**6 + 0*w + 3/5*w**5 + 8/3*w**3 + 61*w**2. Let n(l) = 0. Calculate l.
-2, -1/2
What is u in -1274 + 5025*u**4 + 7144*u + 274 + 26905*u**3 - 315*u**5 + 1674*u + 532*u - 28565*u**2 = 0?
-5, 2/7, 1/3, 20
Let g(j) be the second derivative of -3*j**7/7 - 134*j**6/15 - 4993*j**5/90 - 1876*j**4/27 - 784*j**3/27 + 2*j - 343. Solve g(b) = 0 for b.
-7, -4/9, 0
Let g be (-444)/(-16) + (-4)/(-16). Suppose 121*u + g = 125*u. Determine d, given that -1 - 5*d + 7*d + 6*d - u + 6*d**2 = 0.
-2, 2/3
Factor -39/4*w**2 - 1/4*w**3 - 139/2*w - 60.
-(w + 1)*(w + 8)*(w + 30)/4
Suppose 0 = -4*a + 28 - 4. Factor -27*b + a - 318*b**2 + 96*b + 57*b**2.
-3*(3*b - 1)*(29*b + 2)
Let h = 4/205 - 332/205. Let p = h + 82/45. Factor 0 + 10/9*q + p*q**3 + 4/3*q**2.
2*q*(q + 1)*(q + 5)/9
Let w = 238455 + -238452. Factor -3*x - 1/2*x**4 - 2*x**2 + 5/2 + 3*x**w.
-(x - 5)*(x - 1)**2*(x + 1)/2
Let c be 3/(-7)*(8/(-10) + 465/(-75)). Let p(m) be the second derivative of -1/8*m**2 - 1/20*m**5 - 1/4*m**c - 5*m - 3/16*m**4 - 1. Factor p(s).
-(s + 1)**2*(4*s + 1)/4
Let d = -10418 + 364631/35. Let x(u) be the second derivative of 0 - 2/7*u**3 - 4/7*u**2 + d*u**5 + 0*u**4 + 16*u. Factor x(v).
4*(v - 2)*(v + 1)**2/7
Let x(z) be the second derivative of -3*z**5/80 + 91*z**4/8 - 1012*z**3 - 6348*z**2 - 1529*z. Let x(l) = 0. Calculate l.
-2, 92
Let y(
|
{
"pile_set_name": "DM Mathematics"
}
|
8 + u)*(-39)/2. Suppose a*n - 23*n - 174 = 0. Does 5 divide n?
False
Let v = 8764 - 8263. Does 11 divide v?
False
Suppose 23*r + 52*r = 210300. Does 97 divide r?
False
Suppose 28*s - 26*s - 68524 = -2*b, 3*s = 5*b - 171342. Does 106 divide b?
False
Let d be 8*-7 - (1 - 0). Suppose a + 1 + 43 = -5*z, 3*a + 146 = -z. Let y = a - d. Is y a multiple of 3?
False
Suppose 3*o + 4*b - 9636 = -b, 4*o = 3*b + 12848. Is o a multiple of 21?
False
Let p be (-4)/(-9 + 430/50). Let q be -2 - -2 - (0 + -25). Is 23 a factor of (7 - 160/q) + 914/p?
True
Suppose 8*l - 24 - 96 = 0. Does 31 divide 7/(-35) + 5163/l + -1?
False
Let d(t) = -5*t - 15. Let s be d(-3). Suppose s = 3*u + 4*n - 3, 5*u = -4*n + n - 6. Does 3 divide ((-21)/(-6) + u)/(1/24)?
True
Suppose 195 = 4*n + 4*i - 353, 0 = -n + 2*i + 128. Suppose 377*h = 394*h + 1734. Let b = h + n. Is b a multiple of 16?
True
Let y be (2 + 418)*((-77)/14)/(-11). Let h = y - -1044. Does 38 divide h?
True
Let w be (28/6 + 0)*(-468)/(-24). Let y = w - 49. Does 7 divide y?
True
Let f = 3149 + -988. Is 13 a factor of f?
False
Let x(i) be the second derivative of i**4/2 + 55*i**3/6 + i**2 + 57*i. Is x(-14) a multiple of 8?
True
Let u(b) = -2*b**2 - 6*b + 1. Let w be u(-3). Let c(k) = -191*k**3 - k**2 - 2*k + 2. Let x be c(w). Is 28 a factor of ((x/30)/4)/((-2)/210)?
True
Let l(n) = 323*n + 1200. Is 54 a factor of l(12)?
True
Let k(l) = 2*l**3 - 12*l**2 + l + 9. Let s be k(6). Suppose 8*t - s = 3*t. Suppose 2*u = -t - 3, 0 = -4*c - 2*u + 722. Does 14 divide c?
True
Suppose 3*h + 5*y + 19 = 0, h + 4*y + 28 = 5*h. Let s be (-4)/8*h*-4. Suppose 5*u - 2*u + w = 141, s*u - 188 = -4*w. Is 21 a factor of u?
False
Let p(i) = -4*i + 72 - 104 + 0*i - 3*i - 3*i. Let k(a) = a**2 + 7*a + 4. Let n be k(-4). Is p(n) a multiple of 30?
False
Does 8 divide (-1902*5/15)/(2/(-16))?
True
Let q be 2259/(-12)*20/(-5). Let t = q - 536. Is 30 a factor of t?
False
Let i = -144 + 137. Does 15 divide i/(14/4) - -407?
True
Let n = -70 + 995. Let s = 1425 - n. Does 25 divide s?
True
Suppose -501991 + 298954 = -64*l + 574819. Does 10 divide l?
False
Let x be 7/1*(-10)/(-35). Suppose x*g - 14 = 4*g. Is 2 a factor of (g + 3 + 3)*-2?
True
Suppose 5*d - 34 = -f, 4*d + 4*f = 3*d + 22. Suppose d*i - 2*i + 260 = 0. Let w = -45 - i. Is 4 a factor of w?
True
Let l = 12439 - 11037. Is l a multiple of 4?
False
Suppose 38 = 2*s + 16. Let g(y) = -3*y**2 - 5*y - 2. Let r(p) = p**2 + 2*p + 1. Let j(m) = -4*g(m) - 11*r(m). Is j(s) a multiple of 8?
True
Let f(x) = 22*x**2 + 2*x - 1. Let b be f(2). Suppose -3*t - 5 = 4*w + 133, -4*t - 188 = 4*w. Let g = t + b. Is g a multiple of 41?
True
Let l(b) = -1086*b - 2838. Is l(-5) a multiple of 3?
True
Let k(v) = v**3 - 2*v**2 - 2*v - 3. Let g be k(3). Suppose g = -3*a - 6*n + 2*n + 114, 5*a = 3*n + 190. Let u = a - 32. Is u a multiple of 3?
True
Is 21 a factor of (-296)/6*279/(-12)?
False
Let t be ((-2)/8)/(3/(-36)). Suppose t*r + 1 = 7. Suppose 7*q - x - 933 = r*q, 0 = -4*q + 2*x + 750. Does 35 divide q?
False
Let c(r) = -r**3 - 18*r**2 + 18*r - 17. Let l be c(-19). Suppose -2*j = -l*z - 0*z + 4, 3*j - 22 = -4*z. Is 40 a factor of (-5 - (-3 + 426))*j/(-8)?
False
Let l(r) = r**2 + 18*r - 21. Let n be l(-19). Let y be ((-33)/(-77))/(n/(-14)). Is 17 a factor of 17*(4 - (y + 0))*2?
True
Suppose 7*t + 5 = 40. Suppose -56 = -x + 2*x + 2*n, -t*x + n - 258 = 0. Let i = x - -125. Does 11 divide i?
False
Let p(w) = 121*w + 1. Let s be p(2). Suppose 3*z - 4*t - 1277 = 0, 2*t = 5*z - s - 1904. Is 58 a factor of z?
False
Suppose 139*h - 1 = 138*h, -5*n = h - 90056. Is n a multiple of 17?
False
Suppose -3*h + 407*l - 403*l = -5876, 5883 = 3*h + 3*l. Does 35 divide h?
True
Let x(d) = -d + 4. Let k be x(2). Suppose k*b - 4*b = 4*f + 122, -3*f - 87 = -3*b. Is 15 a factor of f/8*(-13 - 23)?
True
Suppose 0 = 832*w - 822*w - 384400. Is 62 a factor of w?
True
Let d(h) = -6*h - 39. Let i be d(-6). Is ((-1276)/i)/((-12)/(-18)) a multiple of 58?
True
Let p be (-6 - -5)*5/(-1). Suppose z + 101 = 2*z + p*h, -4*h = -5*z + 505. Let c = 146 - z. Does 15 divide c?
True
Let z be ((-7)/(-1) - (-3 + 5)) + -2. Suppose -z*y = -10*y + 266. Is y even?
True
Suppose -4*z - 6739 = -j - 826, 4*j + 4*z = 23732. Does 124 divide j?
False
Let q = 617 - -3613. Suppose -q = -16*s + s. Is s a multiple of 6?
True
Suppose -268*q + 3172 = -267*q. Is 96 a factor of q?
False
Let c be (-44)/(-10) - (-42)/(-105). Suppose 0 = c*q - k + 5*k + 12, 5*q = 3*k + 1. Is q/(2/4 + -1) a multiple of 2?
True
Suppose 0 = -39*w + 216 + 252
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*o = -9. Let n(z) = -6*z**2 + 3*z + 1. Let y(p) = 17*p**2 - 9*p - 2. Let a(f) = 8*n(f) + 3*y(f). What is the lowest common multiple of o and a(2)?
24
Let c = 39466/9 - 4391. Calculate the common denominator of c and ((-14)/(-12))/((-10)/(-66)).
90
Suppose -4*p + 32 = -0. Let l = -12065 - -193119/16. Calculate the common denominator of l and 13/18 + p/(-12).
144
Let w be 4/(-4) - (-16098)/(-346). Let z = 9/346 + w. Let b = -463/5 - -89. Calculate the common denominator of b and z.
10
Let v = -3 - -3. Suppose 4*y = -v*h - 2*h + 32, -4*y = -5*h + 10. What is the smallest common multiple of 3 and h?
6
Let c be 5/(-10) + 436169/(-20). Let v = c - -21803. Find the common denominator of v and -43/2.
20
Suppose -2*m = -7*m + 50. What is the least common multiple of 7 + -4 + (6 - -1) and m?
10
Suppose -6*o + 5*w = -o + 65, -5*o = -3*w + 57. What is the common denominator of 28/11 and (6/o)/(64/(-516))?
88
Suppose 0 = -c + 5*m - 4*m + 7, -34 = -5*c + 4*m. What is the smallest common multiple of c and 44?
132
Let a = 0 + -4. Let o be a/(-6) + (-10)/6. Calculate the common denominator of -59/20 and 2 + o + (-318)/(-132).
220
Let n = -1929596 - -38582023/20. Let b = n + 1995/4. What is the common denominator of (-3507)/462 + (-16)/(-2) and b?
110
Suppose 8*k = 3*k. Suppose -3*r + v = -k*r - 12, v + 20 = 5*r. Calculate the least common multiple of 22 and r.
44
Let v be -1 - (-14 + 0 + -3). Suppose -v = -p - 5. What is the smallest common multiple of 4/10 - (-33)/5 and p?
77
What is the common denominator of 47/2 and 3 - (1 - 305/(-55))?
22
Let y(g) = 21*g - 2. Let w be y(-2). What is the common denominator of 0/(-4) - w/7 and 2*-5*1 + 1?
7
Let r(f) = 5*f**2 - 3*f + 3. Let o be r(2). Let d = o - 63. Calculate the common denominator of d and -7/6.
6
Suppose -4*x + 3*t - 98 = 0, 2*x = 3*t - 81 + 35. Let h = x - -6. Find the common denominator of ((-54)/h)/((-6)/15) and -15/14.
28
Let b = -861/80 + 157/16. Calculate the common denominator of b and ((-118)/100)/(4/10).
20
Suppose -2*p = p - 15. Calculate the lowest common multiple of (-5)/(-15) + (2 - (-14)/3) and p.
35
Suppose -2*g - g = 3*v - 24, 4*v - 3*g - 4 = 0. What is the smallest common multiple of 10 and v?
20
Let l(c) = -1174844*c - 2. Let x be l(3). Let g = -2001934585/568 - x. Let y = 11/71 - g. What is the common denominator of y and -11/3?
24
Suppose 2*q + 6 + 1 = f, -5*q = 3*f + 1. Suppose o - 10 = -4*x + 3*o, 3*o + f = 0. What is the smallest common multiple of 22 and x?
22
Let o = 3873 - 54259/14. What is the common denominator of 1 + ((-198)/4 - 1) and o?
14
Let g = 6 + -2. Suppose -r = g*r - 35. Find the common denominator of 3 - (1106/12)/r and 87/22.
66
Let w = -34 - -49. What is the least common multiple of w and 33?
165
Suppose -6*o + 56 = -2*o. What is the lowest common multiple of 10 and o?
70
Suppose 0 = 2*h + 5*r - 9, -3*r - 38 = -5*h - 0*h. Let x = 19 - h. What is the least common multiple of 28 and x?
84
Suppose 2*y = -0*y. Suppose -16 + y = -n. What is the least common multiple of n and 20?
80
Find the common denominator of (3 - (-196)/(-88))/1 and 95/6.
66
Suppose 2*y = 2*z + 3*y - 55, 0 = -3*z - y + 82. What is the least common multiple of z and 6?
54
Let i = 4841 + -87233/18. Let f = -68581417/21 + 677036180909/207312. Let q = f + -14/617. Find the common denominator of i and q.
144
Suppose 4*a = -4*v + 8*a - 120, -5*v + a - 130 = 0. What is the smallest common multiple of 4 and -1 - (-2 - v)/(-1)?
44
Let t = -9265965/964 + 9612. Let d = t + 23585/10604. Find the common denominator of d and -79/22.
22
What is the common denominator of 186/(-20) - (3 - 6) and 0 + 1 - 2/12?
30
Let h be (-2 - 0)/(0 - -1). Let n(t) = -t**3 + 2. Calculate the least common multiple of 2 and n(h).
10
Suppose 5*b = u - 57, -3*u - 2*u - 3*b + 369 = 0. What is the common denominator of -52/11 and 118/u - (-3)/12?
99
Let o = -1 - -3. Calculate the common denominator of (-236)/(-8)*2/5 and (-1)/o*(-48)/33.
55
Let z = -36 - -21. Let l = -9 - z. What is the common denominator of 53/11 and (-506)/(-60) + (-2)/l?
110
Let f(p) = 2*p**3 - 3*p**2 + 5*p - 8. Let l(o) = -3*o**2 + o. Let a be l(-1). Let r = a + 11. What is the smallest common multiple of r and f(2)?
42
Let y be 343 + (-1)/((-1)/(-1)). What is the common denominator of (4/6)/((-28)/y) and -37/8?
56
Let w(b) = b**2 + 6*b + 4. Calculate the least common multiple of 16 and w(-6).
16
Suppose -r - 2 = -0*r. Find the common denominator of (39/(-36))/((-1)/2) and -130*r/16 - 0.
12
Let v = 216893/18540 - -5/3708. Find the common denominator of (2/27)/(8/210) and v.
90
Find the common denominator of -3/14 and (-16)/20*107/8.
70
Let t = -497519/144220 - 2/7211. Suppose 2*g + 12 = -a, -2*a - 2*g + 3*g = -1. Find the common denominator of 106/4*a/10 and t.
20
Let p be (-4)/(-10) - 2469/(-165). Let a = p + -2015/66. Find the common denominator of a and -53/5.
30
Suppose 0*n - 5*n = -80. Let f = -1 - -19. What is the lowest common multiple of n and f?
144
Let d be (-26)/(-8) + (-3)/12. What is the common denominator of -19/2 and 318/12*d/12?
8
Let t be (2 + -3)/((-1)/5). Suppose -t*z - 2*d - 21 = 0, d = 3*z - 2*d. Find the common denominator of z + -1 + (-85
|
{
"pile_set_name": "DM Mathematics"
}
|
07664 and 40876809.
8493
Calculate the greatest common divisor of 160 and 56138752.
32
Calculate the greatest common divisor of 21917833 and 112763.
1267
What is the highest common divisor of 3076298 and 5866?
838
Calculate the highest common factor of 1240 and 221880.
40
What is the greatest common divisor of 216 and 9755712?
72
Calculate the greatest common factor of 4571 and 40110.
7
Calculate the greatest common divisor of 3398137 and 20767.
1093
What is the highest common divisor of 9100042 and 1652?
826
Calculate the highest common divisor of 53017991 and 1837.
167
Calculate the highest common factor of 450 and 61240050.
450
Calculate the highest common factor of 116614272 and 11136.
384
Calculate the highest common factor of 4161 and 267983.
73
Calculate the highest common factor of 23520 and 165040.
80
Calculate the greatest common divisor of 69959052 and 263.
263
Calculate the greatest common divisor of 13226 and 78574.
34
What is the highest common divisor of 3825442 and 44132?
2006
What is the greatest common divisor of 38944787 and 4138?
2069
What is the greatest common factor of 1513 and 5074602?
1513
Calculate the highest common factor of 8069832 and 7344.
1224
What is the highest common divisor of 1815 and 60756399?
363
What is the highest common factor of 2849873 and 3748082?
11089
What is the greatest common divisor of 1740226 and 9936?
46
Calculate the highest common factor of 3642944 and 80.
16
What is the highest common factor of 217240794 and 1368?
342
Calculate the greatest common factor of 360 and 1333863.
9
Calculate the highest common divisor of 29640 and 32903.
13
What is the greatest common factor of 367875505 and 757?
757
Calculate the greatest common divisor of 3248 and 762874.
406
Calculate the greatest common factor of 2188 and 110284499.
547
What is the greatest common factor of 2600 and 19496?
8
What is the highest common factor of 25737600 and 105?
105
Calculate the highest common factor of 1263 and 7031963.
421
Calculate the highest common factor of 274 and 3730373.
137
What is the highest common factor of 309194 and 44144?
62
What is the greatest common factor of 2488216 and 1552?
8
Calculate the highest common divisor of 431985 and 1860.
465
What is the greatest common divisor of 144 and 2930152?
8
What is the greatest common factor of 697 and 25552921?
17
Calculate the greatest common factor of 483746941 and 4582.
2291
Calculate the highest common factor of 154 and 8487138.
22
What is the highest common divisor of 10288 and 6827374?
1286
What is the highest common factor of 13410398 and 6663?
2221
Calculate the greatest common divisor of 143138970 and 936.
234
What is the greatest common divisor of 132489363 and 13137?
453
Calculate the greatest common factor of 35743243 and 107.
107
What is the greatest common factor of 165 and 102365010?
165
What is the greatest common factor of 8428 and 1727446?
98
Calculate the highest common factor of 4100754 and 235046.
2282
Calculate the greatest common factor of 29055 and 82469265.
2235
What is the greatest common divisor of 394497 and 4367151?
6921
Calculate the highest common factor of 66 and 5011149.
33
What is the greatest common factor of 15985060 and 208?
52
Calculate the greatest common factor of 72 and 356340024.
72
What is the highest common divisor of 87625 and 17819420?
3505
What is the highest common factor of 57 and 1027582719?
57
Calculate the highest common factor of 12180 and 177216970.
2030
What is the highest common divisor of 4865765 and 26680?
3335
Calculate the greatest common factor of 323110886 and 3262.
3262
Calculate the greatest common divisor of 327173 and 35035.
539
What is the greatest common factor of 830 and 1488850?
10
What is the greatest common factor of 5698 and 316162?
154
What is the highest common factor of 291266661 and 2397?
2397
What is the highest common factor of 16743 and 109627583?
5581
Calculate the greatest common divisor of 14107435 and 1454.
727
Calculate the highest common factor of 150453 and 766938.
219
Calculate the highest common divisor of 17235 and 829035.
45
Calculate the highest common divisor of 9898755 and 6.
3
Calculate the highest common divisor of 46478163 and 9.
3
What is the greatest common divisor of 373870800 and 492?
492
What is the highest common divisor of 305 and 106627?
1
What is the highest common factor of 10338 and 74538?
6
What is the greatest common divisor of 11837406 and 187089?
1239
What is the greatest common factor of 330020040 and 105?
105
Calculate the greatest common factor of 1358448 and 324.
12
Calculate the greatest common factor of 4962531 and 147.
21
What is the greatest common divisor of 1974 and 2140068?
42
Calculate the highest common divisor of 33912243 and 108.
27
What is the highest common factor of 6575365 and 560?
5
What is the greatest common factor of 28025620 and 3500?
140
Calculate the greatest common factor of 10496 and 736928.
32
Calculate the highest common divisor of 215429 and 47547.
587
What is the highest common factor of 12870 and 73450?
130
Calculate the greatest common factor of 4260 and 63829.
71
What is the greatest common divisor of 2701 and 638093?
73
Calculate the greatest common divisor of 2040 and 21239800.
680
Calculate the highest common factor of 901401 and 6.
3
What is the greatest common divisor of 14891184 and 263109?
3927
What is the greatest common factor of 307815536 and 41?
41
Calculate the highest common factor of 92460 and 5531730.
690
What is the highest common divisor of 3894 and 43907622?
66
What is the greatest common divisor of 1296 and 57470256?
432
What is the greatest common factor of 1367 and 10999?
1
Calculate the highest common factor of 2127 and 4648204.
709
Calculate the highest common divisor of 3 and 215682147.
3
What is the greatest common factor of 4 and 73749772?
4
Calculate the highest common factor of 26963 and 488533.
457
Calculate the highest common divisor of 35157465 and 35.
35
What is the highest common factor of 13409 and 214291?
253
What is the greatest common divisor of 14800 and 30070640?
2960
Calculate the greatest common factor of 288 and 3473696.
32
Calculate the highest common factor of 5940 and 18645.
165
Calculate the highest common factor of 48168 and 1440.
72
Calculate the greatest common factor of 3543600 and 6000.
1200
What is the highest common factor of 504380937 and 10554?
5277
What is the greatest common factor of 11865220 and 20?
20
Calculate the greatest common divisor of 87642342 and 108.
18
Calculate the highest common divisor of 20655 and 1743945.
255
Calculate the highest common divisor of 117842 and 16.
2
Calculate the highest common divisor of 6992 and 989.
23
What is the highest common divisor of 738 and 18899442?
738
What is the highest common factor of 24290760 and 24219?
897
What is the greatest common factor of 200 and 7491850?
50
What is the highest common divisor of 13353237 and 18?
9
What is the greatest common divisor of 433110 and 185?
5
What is the highest common factor of 272279 and 13968?
97
Calculate the greatest common divisor of 28992 and 4469751.
453
Calculate the greatest common divisor of 447256 and 1702.
74
Calculate the highest common divisor of 58 and 4554871.
1
What is the greatest common divisor of 1286 and 66944659?
643
What is the highest common divisor of 113671601 and 89?
89
What is the greatest common factor of 1441369 and 4941?
61
Calculate the greatest common divisor of 2198576637 and 93.
93
Calculate the greatest common factor of 195 and 115554621.
39
What is the greatest common factor of 4435
|
{
"pile_set_name": "DM Mathematics"
}
|
base 6) in base 7?
-215
What is 60 (base 7) in base 9?
46
What is -24 (base 10) in base 13?
-1b
What is -7 (base 8) in base 13?
-7
What is 10 (base 9) in base 12?
9
What is -88 (base 9) in base 11?
-73
2 (base 6) to base 13
2
Convert 64 (base 10) to base 7.
121
What is 36 (base 9) in base 14?
25
Convert 10 (base 3) to base 9.
3
-33 (base 12) to base 15
-29
11 (base 13) to base 5
24
110 (base 2) to base 8
6
What is 2 (base 15) in base 13?
2
What is 6e (base 15) in base 5?
404
What is 13 (base 10) in base 7?
16
What is -100 (base 2) in base 4?
-10
Convert 200 (base 3) to base 7.
24
Convert 212 (base 3) to base 10.
23
What is 40 (base 5) in base 12?
18
a (base 11) to base 12
a
What is 21 (base 6) in base 5?
23
What is -47 (base 12) in base 6?
-131
What is -4 (base 11) in base 15?
-4
-9 (base 14) to base 13
-9
-d (base 14) to base 3
-111
What is -622 (base 7) in base 12?
-21a
Convert -6 (base 14) to base 4.
-12
Convert 116 (base 7) to base 14.
46
What is -7 (base 10) in base 12?
-7
What is -4 (base 9) in base 13?
-4
What is -6 (base 16) in base 8?
-6
2132 (base 4) to base 3
12212
What is 1100110 (base 2) in base 8?
146
-1 (base 2) to base 4
-1
120 (base 6) to base 14
36
-64 (base 13) to base 15
-57
What is 0 (base 6) in base 5?
0
-4 (base 14) to base 2
-100
24 (base 15) to base 4
202
24 (base 11) to base 13
20
What is -13 (base 10) in base 11?
-12
What is -20 (base 5) in base 15?
-a
Convert 2 (base 4) to base 8.
2
2 (base 8) to base 14
2
Convert -3 (base 10) to base 5.
-3
-35 (base 15) to base 2
-110010
-1301 (base 5) to base 6
-533
Convert -6 (base 11) to base 5.
-11
-3 (base 10) to base 15
-3
What is 10001001 (base 2) in base 15?
92
17 (base 9) to base 3
121
Convert 1000 (base 3) to base 8.
33
What is -12 (base 3) in base 10?
-5
What is 0 (base 6) in base 10?
0
What is -2 (base 10) in base 14?
-2
Convert -231 (base 6) to base 15.
-61
Convert -23 (base 6) to base 3.
-120
What is 4 (base 5) in base 10?
4
Convert ca (base 13) to base 9.
204
What is -10011 (base 2) in base 11?
-18
What is -5 (base 6) in base 12?
-5
What is -4 (base 7) in base 8?
-4
What is 12 (base 15) in base 7?
23
-2 (base 12) to base 7
-2
121 (base 4) to base 5
100
Convert -17 (base 13) to base 12.
-18
Convert 3 (base 4) to base 5.
3
Convert -1 (base 13) to base 15.
-1
What is 20 (base 11) in base 2?
10110
What is -135 (base 7) in base 4?
-1023
7 (base 10) to base 11
7
Convert 314 (base 7) to base 12.
112
-21 (base 4) to base 7
-12
-10 (base 13) to base 16
-d
-1 (base 11) to base 10
-1
3 (base 9) to base 6
3
-4 (base 12) to base 7
-4
What is 7 (base 12) in base 11?
7
What is 1 (base 2) in base 9?
1
Convert 47 (base 11) to base 7.
102
-1 (base 14) to base 13
-1
Convert -11 (base 2) to base 5.
-3
What is 11 (base 9) in base 12?
a
What is -36 (base 8) in base 16?
-1e
b (base 15) to base 13
b
-4 (base 10) to base 13
-4
121 (base 10) to base 12
a1
-100101 (base 2) to base 4
-211
Convert -1 (base 9) to base 4.
-1
What is -48 (base 9) in base 8?
-54
Convert 322 (base 6) to base 3.
11112
What is -22122 (base 3) in base 9?
-278
What is 122 (base 3) in base 15?
12
5 (base 16) to base 15
5
What is 1 (base 2) in base 9?
1
2 (base 11) to base 9
2
What is -f (base 16) in base 15?
-10
Convert -10 (base 4) to base 7.
-4
What is -134 (base 6) in base 14?
-42
-5 (base 7) to base 15
-5
What is -1 (base 4) in base 9?
-1
What is 0 (base 3) in base 15?
0
Convert -83 (base 13) to base 5.
-412
Convert -2 (base 14) to base 15.
-2
102 (base 4) to base 6
30
Convert aa (base 16) to base 13.
101
5 (base 15) to base 13
5
Convert -112000 (base 3) to base 16.
-17a
What is -1b3 (base 12) in base 16?
-117
10110 (base 2) to base 16
16
What is 56 (base 10) in base 8?
70
Convert -4 (base 9) to base 14.
-4
Convert 3 (base 7) to base 11.
3
Convert 0 (base 4) to base 13.
0
1 (base 7) to base 5
1
Convert 2100 (base 3) to base 6.
143
Convert 44 (base 10) to base 8.
54
What is 0 (base 12) in base 10?
0
What is 3 (base 4) in base 9?
3
What is 10 (base 6) in base 7?
6
What is -15 (base 7) in base 8?
-14
Convert 147 (base 9) to base 5.
444
-17 (base 14) to base 15
-16
-1f (base 16) to base 7
-43
-100011 (base 2) to base 15
-25
Convert -126 (base 12) to base 5.
-1144
26 (base 15) to base 5
121
-1100 (base 2) to base 12
-10
What is 1 (base 13) in base 4?
1
-a (base 11) to base 3
-101
What is 1 (base 5) in base 6?
1
Convert 11100111 (base 2) to base 15.
106
2 (base 10) to base 6
2
Convert 45 (base 10) to base 3.
1200
-144 (base 8) to base 5
-400
Convert -4 (base 10) to base 8.
-4
-20 (base 6) to base 16
-c
Convert 1 (base 12) to base 13.
1
What is 36 (base 12) in base 2?
101010
Convert -11 (base 3) to base 16.
-4
511 (base 7) to base 8
375
Convert 73 (base 15) to base 13.
84
Convert 3 (base 5) to base 7.
3
What is -6 (base 9) in base 13?
-6
Convert 2 (base 3) to base 6.
2
36 (base 8) to base 10
30
-100101 (base 2) to base 6
-101
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
are there in 884.8622 meters?
88486.22
How many months are there in three fifths of a millennium?
7200
How many seconds are there in one quarter of a hour?
900
What is one tenth of a century in decades?
1
How many nanograms are there in 83638.62 kilograms?
83638620000000000
How many months are there in 7277.44 centuries?
8732928
How many nanograms are there in 26/5 of a microgram?
5200
Convert 430.7083us to seconds.
0.0004307083
Convert 4.342519 millennia to years.
4342.519
What is eighty-one halves of a millennium in centuries?
405
Convert 1664.408 hours to milliseconds.
5991868800
What is five eighths of a litre in millilitres?
625
What is fifteen quarters of a litre in millilitres?
3750
How many micrometers are there in 5/8 of a millimeter?
625
What is 6/5 of a microgram in nanograms?
1200
What is 37000.02kg in grams?
37000020
How many millimeters are there in 244299.5nm?
0.2442995
How many nanoseconds are there in one quarter of a microsecond?
250
How many kilograms are there in 602.5685 tonnes?
602568.5
What is one fifth of a millennium in years?
200
What is 255.9136 nanograms in micrograms?
0.2559136
How many millilitres are there in twenty-seven fifths of a litre?
5400
What is seven halves of a week in minutes?
35280
What is 25.8076665 microseconds in days?
0.00000000029869984375
What is 1/6 of a minute in milliseconds?
10000
How many micrograms are there in 6432.581 tonnes?
6432581000000000
Convert 1.5458 litres to millilitres.
1545.8
What is 2.086023 centuries in months?
2503.2276
What is 13/5 of a week in minutes?
26208
How many micrograms are there in 4.006932kg?
4006932000
How many nanometers are there in 59087.94um?
59087940
How many hours are there in 52/3 of a week?
2912
How many seconds are there in 1/18 of a week?
33600
How many nanometers are there in 27/5 of a micrometer?
5400
What is 0.6608157 hours in milliseconds?
2378936.52
What is 4/15 of a millennium in months?
3200
What is 2/75 of a day in seconds?
2304
How many centimeters are there in 1/10 of a meter?
10
Convert 4.894044g to nanograms.
4894044000
What is fourty-nine fifths of a litre in millilitres?
9800
How many nanograms are there in 6/5 of a microgram?
1200
How many micrograms are there in 3/10 of a milligram?
300
What is 7/2 of a day in minutes?
5040
How many nanograms are there in 1/10 of a microgram?
100
How many days are there in 184895.19 microseconds?
0.000002139990625
Convert 1.983919 litres to millilitres.
1983.919
What is 7.788882 millilitres in litres?
0.007788882
What is 0.826697 years in millennia?
0.000826697
Convert 8670.2 minutes to nanoseconds.
520212000000000
What is 29/2 of a century in years?
1450
What is one tenth of a kilometer in meters?
100
How many kilograms are there in 3959.543ug?
0.000003959543
What is 504660.8 hours in microseconds?
1816778880000000
How many kilograms are there in 3/10 of a tonne?
300
Convert 7.851581 nanoseconds to milliseconds.
0.000007851581
Convert 749148.6 decades to millennia.
7491.486
Convert 8210960.1 nanoseconds to hours.
0.00000228082225
What is 3/50 of a meter in micrometers?
60000
What is 787.314t in milligrams?
787314000000
How many months are there in four thirds of a decade?
160
What is 863325.3 millilitres in litres?
863.3253
Convert 30900.41 years to decades.
3090.041
Convert 317716.3ml to litres.
317.7163
How many hours are there in thirteen eighths of a week?
273
Convert 98.47833g to nanograms.
98478330000
How many millilitres are there in 1/4 of a litre?
250
What is 6993.356ml in litres?
6.993356
What is 23/6 of a minute in seconds?
230
What is 0.8166579 litres in millilitres?
816.6579
How many nanometers are there in three tenths of a micrometer?
300
Convert 2.998054l to millilitres.
2998.054
How many milligrams are there in 0.4933142 micrograms?
0.0004933142
How many centuries are there in thirty-one fifths of a millennium?
62
How many millennia are there in 360.948 years?
0.360948
How many millimeters are there in 74138.21cm?
741382.1
How many nanograms are there in fifteen quarters of a microgram?
3750
What is seventy-three quarters of a century in months?
21900
What is fifty-four fifths of a second in milliseconds?
10800
How many nanometers are there in 0.727155 millimeters?
727155
What is 87/5 of a litre in millilitres?
17400
What is 2293845.6 months in years?
191153.8
How many months are there in 278401.3 millennia?
3340815600
What is 29.7349 millimeters in kilometers?
0.0000297349
How many years are there in 3/50 of a millennium?
60
What is fourty-six fifths of a tonne in kilograms?
9200
What is 6152.21s in milliseconds?
6152210
What is 0.4078769 litres in millilitres?
407.8769
Convert 6.843535 millilitres to litres.
0.006843535
How many months are there in one sixteenth of a century?
75
What is 27/2 of a litre in millilitres?
13500
What is 620819.9g in kilograms?
620.8199
How many millilitres are there in 5820.67 litres?
5820670
How many millennia are there in 2388.656 decades?
23.88656
What is 2/15 of a week in minutes?
1344
What is 2/7 of a week in minutes?
2880
How many years are there in 381468.9 millennia?
381468900
What is fifteen quarters of a litre in millilitres?
3750
What is 18/5 of a litre in millilitres?
3600
How many millennia are there in 4265.58 decades?
42.6558
What is eleven tenths of a millennium in decades?
110
How many kilograms are there in five eighths of a tonne?
625
How many micrograms are there in 3/40 of a milligram?
75
What is three fifths of a litre in millilitres?
600
What is 783162.2 minutes in seconds?
46989732
What is 17/2 of a microgram in nanograms?
8500
Convert 70481.8 minutes to microseconds.
4228908000000
Convert 116227.7 kilometers to nanometers.
116227700000000000
What is 87.9387kg in grams?
87938.7
How many milligrams are there in 1/4 of a gram?
250
How many milliseconds are there in 44.13281ns?
0.00004413281
How many seconds are there in 3/5 of a hour?
2160
Convert 0.1905494um to centimeters.
0.00001905494
Convert 499018.1 nanometers to meters.
0.0004990181
How many months are there in 5/6 of a year?
10
How many years are there in 1.2207747 months?
0.101731225
What is 76994.8cm in meters?
769.948
How many kilograms are there in 6.716889g?
0.006716889
What is 935353.6kg in grams?
935353600
Convert 8310.38t to micrograms.
8310380000000000
How many millilitres are there in 48544.96l?
485449
|
{
"pile_set_name": "DM Mathematics"
}
|
rder.
-89, -7, n
Let m = -17 + 50/3. Let q = -111 - -74. Let i = 36.5 + q. Sort i, -0.3, m in decreasing order.
-0.3, m, i
Let a = 168955909/2478 + -477280/7. Let h = 2/177 - a. Put 3, 0, -0.1, h in decreasing order.
3, h, 0, -0.1
Suppose 20 = -f - 0*l + 3*l, 0 = -f + 2*l - 15. Sort f, -19, -2, 4 in ascending order.
-19, f, -2, 4
Suppose 4*h - 6 = -10. Let f be 1 + (-20)/16 + h + 0. Let d = 1.5 + -2. Sort -2, f, d in descending order.
d, f, -2
Let s be (-2 + 6)*(-2 - -3). Suppose -2*f + 4 = 4*t, t = 2*f - 3*t + s. Sort f, 8, 4.
f, 4, 8
Suppose 2*p = c + 7, -13 = 5*p - 9*p + 3*c. Let r = 0 - 1. Sort 0.05, r, p in decreasing order.
p, 0.05, r
Let v = 187 + -182. Sort v, 0, -3, -7 in descending order.
v, 0, -3, -7
Suppose 24*u = 25*u - 78. Let j = u + -391/5. Put j, 5, 2/13 in descending order.
5, 2/13, j
Suppose -5*l - 11 = x, 5*x = -4*l + 2*x - 11. Let o be (-2)/45*(23 - l). Let c = 0.2 - -0.1. Sort o, c, 3.
o, c, 3
Let d = -0.4 + -1.2. Let t = d + 1.51. Let k = 0.19 + t. Put 2/7, -1/3, k in increasing order.
-1/3, k, 2/7
Let j(r) = -r**3 + 3*r**2 + 5*r. Let b be j(4). Suppose b*q - 2 = -6. Let x be (q/3)/(2/(-30)). Put x, -7, 1 in decreasing order.
x, 1, -7
Let a(i) = -13*i**2 + 196*i + 7. Let d be a(15). Put -1, 7, d in descending order.
d, 7, -1
Let d be ((77/(-105))/(-11))/(14/21). Let y = 1 - -1. Sort y, d, 0.2, 1 in increasing order.
d, 0.2, 1, y
Let a be (1 + -4)*(-7)/42*2. Sort 5, a, 67, -4 in increasing order.
-4, a, 5, 67
Let p = 10.172 - 11.1. Let l = -0.072 + p. Let a = -16 - -11. Sort l, a, 0 in increasing order.
a, l, 0
Suppose 3*t - 4*j - 3 = 8, 2*t + 5*j - 15 = 0. Let x be (-2)/t - 4/(-10). Suppose 4*n + 2*o - 2 = x, 5*n + 4*o - 5 = 2*o. Put -2, n, -3 in increasing order.
-3, -2, n
Let j be ((-2)/4)/(13/(-104)). Let r = -40 + 20. Let g = r + 17. Sort j, g, 1 in descending order.
j, 1, g
Let r = -8 - -16. Suppose -1 = h - r. Suppose 0*z = -z - 5*l + 11, h = -4*z - 3*l. Put 1, -3, z in ascending order.
z, -3, 1
Let p = 2.6 + -1.8. Let z = 1.2 - p. Let q = 0 + z. Sort -1/2, -3/2, q in decreasing order.
q, -1/2, -3/2
Let c = -28559/24 + 1190. Sort c, -1/8, 3/7.
-1/8, c, 3/7
Let o(t) = t**3 - 4*t**2 + 2*t + 3. Let m be o(3). Suppose -4*d - 4*l + 16 = 0, -5*d + 10*l - 5*l - 10 = m. Sort d, -4, 4 in increasing order.
-4, d, 4
Suppose 12 = 4*y - 0, 0 = -x - 2*y + 6. Sort x, -2, 7, -0.3 in increasing order.
-2, -0.3, x, 7
Let a be 1/2*32/4. Let d be 2 + 2/(a/(-2)). Sort d, 0, 2.
0, d, 2
Suppose 0 = -6*r + 4*r. Let v be 11 - 1/(-3)*r. Let m = v + -10. Sort m, -1, 5.
-1, m, 5
Let y(n) = -n + 18. Let j = 25 - 20. Let v be y(j). Put v, -3, 3 in decreasing order.
v, 3, -3
Let h(r) = r**3 - 6*r**2 + 5. Let o(u) = u**3 + 4*u**2 - 3. Let v be o(-3). Let j be h(v). Suppose 74 + 25 = 33*n. Put n, j, 0 in ascending order.
0, n, j
Let r be ((-10)/6 - -2)/(-1). Let a = -439 - -435. Sort -2, a, r, -3 in descending order.
r, -2, -3, a
Suppose 10 = -2*g, -11 = 4*y - 3*g + 10. Let v be (1 + 3/y)*15/2. Sort 1, 0, v, 2/17.
0, 2/17, 1, v
Let b = -9266.5 - -9266. Let v = -1.5 - -0.4. Let l = 1 + v. Sort l, b, 3 in increasing order.
b, l, 3
Suppose 11*j - 10 = -5*n + 6*j, 4*j = 0. Sort n, 13, 5 in descending order.
13, 5, n
Let r = 519 + -514. Let o be -1 - 1/2*6. Sort -2, r, o in decreasing order.
r, -2, o
Suppose 7*c + 21 = 5*y + 9*c, -3 = y - 2*c. Put y, -0.1, 0.2, 2/17 in decreasing order.
y, 0.2, 2/17, -0.1
Let d = -4/5 - -8/35. Let k = 3.177 - 2.82. Let g = 0.057 - k. Put g, d, 5 in decreasing order.
5, g, d
Suppose 0 = 47*i + 66 + 75. Sort i, 4, 41 in increasing order.
i, 4, 41
Suppose 0 = 5*t + p + 25, 2*t + 4*p + 6 = -4. Put t, 1, -18 in ascending order.
-18, t, 1
Let a = 3.03 - 0.03. Sort a, -0.4, 12, 1/3 in decreasing order.
12, a, 1/3, -0.4
Suppose 2*u - 4*c + 4 = 0, -2*c + 4*c = -5*u + 14. Suppose 13956*a + 145 = 13927*a. Put a, -3, u, -7 in decreasing order.
u, -3, a, -7
Let k = 20 - 34. Let v be 1*k/8 - 15/60. Put v, 1, 5 in decreasing order.
5, 1, v
Let s = -63 - -65. Suppose b + 4 = -s*c, 4*c - b + 4 = -2*b. Let r = -5.05 + 0.05. Sort c, r, -2/11 in increasing order.
r, -2/11, c
Suppose 47*n = -70*n - 468. Put 6, 5, 3, n in ascending order.
n, 3, 5, 6
Let d = -0.869 - 0.131.
|
{
"pile_set_name": "DM Mathematics"
}
|
w = -30. Suppose 2*q + 3*r = r + 8, -5*r + m = q. Calculate the greatest common divisor of q and 14.
2
Suppose -2*c = w - 334, -3 + 1 = w. What is the greatest common factor of 24 and c?
24
Suppose 0 = -5*y + d + 124, -56 = -0*y - 3*y - 4*d. Calculate the highest common divisor of 36 and y.
12
Let p(s) = -3*s**2 - 2*s**2 + 2*s**2 - 3*s + 2*s**3 - 4. Let w be p(4). Calculate the greatest common divisor of w and 8.
8
Let m = -24 - -51. Calculate the highest common divisor of m and 135.
27
Suppose -5*d + 263 = 53. Calculate the highest common divisor of 7 and d.
7
Let w(m) = -m**3 - 17*m**2 - 6*m - 18. Let h be w(-17). Suppose 0 = 3*v - 6 - h. What is the greatest common divisor of 120 and v?
30
Let y(x) = 3*x**2 - 6*x + 5. Let n be y(3). What is the greatest common divisor of n and 42?
14
Let b = -68 + 113. Calculate the highest common factor of 5 and b.
5
Let a(t) = -3 - t**3 + 1 + 3*t**2 + 0*t**2. Let h be a(2). Suppose 2*c - c = -m + 13, -h*c - 8 = 0. What is the highest common divisor of 51 and m?
17
Let q = -516 + 736. Suppose 0 = -4*f + g + q, 4*g - 19 = 2*f - 129. What is the greatest common divisor of 11 and f?
11
Let j = -7 - -12. Suppose 0 = 4*h - j - 7. Suppose h*a - 37 = 6*n - 4*n, -4*a - n = -31. Calculate the highest common factor of a and 72.
9
Let b = 156 - 144. What is the greatest common divisor of b and 228?
12
Suppose 4*v + 0*u - 5*u = 21, -2*u - 6 = -v. What is the highest common factor of v and 4?
4
Suppose 0 = 4*i + 5*v - 20, 2*i + 3*i - 25 = -5*v. Calculate the highest common divisor of i and 25.
5
Suppose 0 = 12*s - 7*s + 4*p - 20, -12 = -3*s + 3*p. Calculate the greatest common factor of 32 and s.
4
Let r(g) = -g**3 - 8*g**2 + g + 10. Let b = 14 - 22. Let c be r(b). Calculate the greatest common factor of 8 and c.
2
Let j = 22 - 17. Calculate the highest common divisor of j and 20.
5
Suppose -3*k + 4*u = -20, -u = -5*k + u + 24. What is the highest common divisor of 1 and k?
1
Suppose 0 = -4*s + 2*l + 10, -5*l = 4*s - 4*l - 7. Suppose -32 = -s*h - 4*b, 3*h - 5*h - 5*b + 35 = 0. Calculate the greatest common divisor of 90 and h.
10
Let o = 99 + -98. Calculate the greatest common factor of o and 3.
1
Let g(d) = d**3 + 2*d**2 + d + 78. Let f be g(0). Calculate the highest common divisor of 26 and f.
26
Let d = 6 + -2. Let g be 146/d - 2/4. Suppose 0*n = -2*n + 180. Calculate the highest common divisor of g and n.
18
Let n(p) = -p**3 - 9*p**2 + 11*p + 11. Let g be n(-10). Let i = 2 + g. Suppose -w - 12 = -3*l - 4*w, l = 3*w. Calculate the highest common factor of i and l.
3
Suppose -3*d = -4*p + 65, -2*d - 12 = -p + 8. Let o = p - 12. Suppose 0*a = -a + 14. What is the greatest common factor of a and o?
2
Suppose -35 = p - 6*p. Calculate the greatest common divisor of 28 and p.
7
Let p(q) be the first derivative of -4*q**3 - 2*q**2 - 3*q + 2. Let k be p(-3). Let d = -55 - k. Calculate the greatest common factor of d and 4.
4
Let z(j) = -j**3 + 6*j**2 + 3*j. Let u be z(6). Let d(w) = -14*w - 24. Let g be d(-3). Calculate the highest common divisor of u and g.
18
Let t = 30 + 45. Calculate the greatest common divisor of 30 and t.
15
Suppose 4*a - 10 + 2 = 0. Suppose 55 = a*z + 3*z. What is the highest common divisor of z and 44?
11
Let g(q) = 7*q**2 - 5*q + 7. Let w be g(4). Calculate the greatest common factor of w and 11.
11
Let h(u) = u**2 + 10*u + 2. Let i be h(-10). Suppose -2 = i*c - 30. Calculate the greatest common divisor of c and 35.
7
Let u be (-1)/1 + 2 + 1. Let z(w) = -5*w**3 - 2*w**2 - w. Let t be z(-1). Suppose 5*h = 21 + t. Calculate the greatest common divisor of u and h.
1
Let m = 123 - 117. Calculate the highest common factor of m and 12.
6
Let d = 241 + -142. What is the highest common factor of 11 and d?
11
Let s(j) = -6*j - 16*j**2 - 14 - 10*j**2 + 27*j**2. Let o be s(9). Calculate the highest common divisor of 39 and o.
13
Suppose 6*r - 375 = r. Suppose 0*s - r = -3*s. Calculate the highest common factor of 25 and s.
25
Suppose 5*l - 45 = -4*u, 2*l - 7*u + 3*u = -10. Suppose -25 = -g + 25. Calculate the greatest common divisor of g and l.
5
Suppose -w + 5*w - 24 = 0. Calculate the greatest common factor of w and 9.
3
Let o(u) = -51*u - 2. Let s be o(-1). Suppose 4*v + s = 5*t + 162, 3*t = -v + 7. Let j(q) = q. Let b be j(2). What is the highest common divisor of v and b?
2
Let c be -3*1 + (6 - -2). Suppose q + 3*j - 22 = c*j, 0 = q + 3*j + 3. Calculate the greatest common divisor of 96 and q.
12
Suppose -8*l + 4*l = -884. Let x = l + -93. What is the greatest common divisor of x and 16?
16
Suppose w = 3*w - 28. Suppose u + 3 = w. Calculate the greatest common factor of 55 and u.
11
Let h(w) = -7*w - 74. Let r be h(-17). Let t(v) = v**2 + v - 1. Let p be t(2). What is the highest common divisor of r and p?
5
Let q(v) = -4*v**2 - 13*v - 6. Let n(o) = o**2 - 1. Let m(w) = 3*n(w) + q(w). Let c be m(-9). What is the highest common factor of c and 9?
9
Let w = 10 - 7. Suppose w*j + 65 = 5*t - 1, 2*j = 4*t - 54. Calculate the highest common divisor of 105 and t.
15
Suppose 2*j - 3*t = 10, 2*t = j + 3*t. Let z be (-10)/(-4) + 15/(-10). What is the greatest common factor of j and z?
1
Let u(m) = m**2 + 2*m - 2. Let f be u(-3). What is the highest common divisor of 3 and f?
1
Let k = -3 - -4. Let g
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from nnnnnfnf?
1/28
What is prob of sequence bb when two letters picked without replacement from bqqbqqqqqq?
1/45
Three letters picked without replacement from {g: 1, h: 1, f: 1, l: 1, a: 2, w: 1}. What is prob of sequence lhw?
1/210
Two letters picked without replacement from pzpzvpppzppzp. Give prob of sequence vv.
0
Four letters picked without replacement from vavvvavvavv. Give prob of sequence avaa.
1/165
Four letters picked without replacement from {u: 1, j: 6, n: 1, v: 8, f: 4}. Give prob of sequence ffnv.
4/4845
Calculate prob of sequence dte when three letters picked without replacement from {d: 2, g: 2, e: 4, t: 2}.
1/45
Calculate prob of sequence ich when three letters picked without replacement from {h: 1, c: 3, i: 1}.
1/20
Calculate prob of sequence wjje when four letters picked without replacement from ejewjewjewjjjeejjeew.
224/14535
What is prob of sequence pllp when four letters picked without replacement from {p: 2, l: 2}?
1/6
Two letters picked without replacement from {c: 1, k: 1, a: 1, n: 1, o: 1}. What is prob of sequence nk?
1/20
Calculate prob of sequence ft when two letters picked without replacement from {x: 3, f: 1, y: 2, h: 2, w: 3, t: 1}.
1/132
What is prob of sequence iiii when four letters picked without replacement from iiihiihii?
5/18
Calculate prob of sequence hi when two letters picked without replacement from {l: 3, i: 1, g: 1, e: 1, h: 6, j: 5}.
3/136
What is prob of sequence mddd when four letters picked without replacement from bbddgbddddjddbbdgm?
7/1020
Three letters picked without replacement from hgghhhghhhggghhhhh. What is prob of sequence ggh?
5/68
Three letters picked without replacement from {j: 4, o: 16}. Give prob of sequence jjj.
1/285
Three letters picked without replacement from laelvrvvlallvale. Give prob of sequence eea.
1/560
Calculate prob of sequence dppy when four letters picked without replacement from {v: 1, d: 1, y: 1, p: 2}.
1/60
Calculate prob of sequence tddd when four letters picked without replacement from qdtddqdgdddtdd.
6/143
Four letters picked without replacement from mgdiiiiiimigmbmii. What is prob of sequence imid?
3/595
What is prob of sequence bxjb when four letters picked without replacement from lxblslbbbbj?
1/396
What is prob of sequence bcqk when four letters picked without replacement from {q: 2, i: 7, b: 1, k: 3, c: 1}?
1/4004
Three letters picked without replacement from ooojvjvovv. What is prob of sequence vvo?
1/15
Calculate prob of sequence kka when three letters picked without replacement from akicikccckci.
1/220
Four letters picked without replacement from {d: 2, c: 2, x: 1, j: 1, g: 2, z: 5}. Give prob of sequence jzgg.
1/1716
Two letters picked without replacement from htzkhzehhezwhzekhheh. What is prob of sequence tw?
1/380
What is prob of sequence pi when two letters picked without replacement from {f: 1, y: 1, p: 1, i: 4, g: 8, s: 1}?
1/60
Two letters picked without replacement from {o: 2, q: 4, a: 3}. What is prob of sequence qo?
1/9
What is prob of sequence izqz when four letters picked without replacement from {z: 5, i: 14, q: 1}?
7/2907
What is prob of sequence dii when three letters picked without replacement from diioi?
1/10
Four letters picked without replacement from lzzallzzllla. Give prob of sequence zazz.
2/495
Three letters picked without replacement from {o: 2, h: 1, w: 3, z: 1, p: 4, i: 7}. Give prob of sequence ppp.
1/204
What is prob of sequence oa when two letters picked without replacement from aaaoaaaoaaoaoaao?
11/48
Three letters picked without replacement from {b: 5, s: 3, a: 1, c: 6, h: 5}. Give prob of sequence cbh.
5/228
Two letters picked without replacement from cntunyt. What is prob of sequence ny?
1/21
What is prob of sequence oooo when four letters picked without replacement from {o: 7, x: 2, z: 8, f: 3}?
7/969
Two letters picked without replacement from rrgrl. Give prob of sequence gr.
3/20
Three letters picked without replacement from fbbf. What is prob of sequence bfb?
1/6
Calculate prob of sequence gy when two letters picked without replacement from ygg.
1/3
What is prob of sequence cc when two letters picked without replacement from {g: 2, d: 4, c: 3, w: 1, m: 1, i: 1}?
1/22
What is prob of sequence mxt when three letters picked without replacement from {v: 7, t: 8, x: 1, m: 2}?
1/306
What is prob of sequence ww when two letters picked without replacement from mmuctjuwttwcwt?
3/91
What is prob of sequence aaa when three letters picked without replacement from aaqnanannq?
1/30
Calculate prob of sequence dcd when three letters picked without replacement from {d: 2, c: 2}.
1/6
Three letters picked without replacement from eeeeee. What is prob of sequence eee?
1
Four letters picked without replacement from {v: 4, g: 6}. Give prob of sequence ggvv.
1/14
Four letters picked without replacement from {h: 3, j: 1, f: 1, v: 8, a: 6}. Give prob of sequence jafa.
5/15504
What is prob of sequence ww when two letters picked without replacement from sbwswwrwwsyww?
7/26
Two letters picked without replacement from cfcccycxxfcf. What is prob of sequence cc?
5/22
Three letters picked without replacement from {p: 2, h: 4, j: 1}. Give prob of sequence phj.
4/105
Two letters picked without replacement from zrwla. Give prob of sequence lr.
1/20
Calculate prob of sequence hdgn when four letters picked without replacement from gnhdddwdddddddknndd.
1/2584
Calculate prob of sequence jig when three letters picked without replacement from {z: 7, j: 1, n: 1, g: 1, i: 2, v: 2}.
1/1092
Three letters picked without replacement from nkxkopyp. What is prob of sequence kyx?
1/168
Three letters picked without replacement from xxxxgxxgxx. Give prob of sequence gxg.
1/45
What is prob of sequence qf when two letters picked without replacement from {f: 6, q: 2, z: 10, w: 2}?
3/95
Four letters picked without replacement from ahuhuhuhaul. Give prob of sequence lauu.
1/330
Four letters picked without replacement from {j: 3, q: 1, v: 2, o: 1, b: 4}. What is prob of sequence jbbo?
1/220
Four letters picked without replacement from {l: 1, e: 19}. Give prob of sequence eele.
1/20
Four letters picked without replacement from eveeseyuvvv. Give prob of sequence eesu.
1/660
Four letters picked without replacement from {e: 1, k: 2, x: 7, b: 2, g: 6}. What is prob of sequence ebgb?
1/6120
What is prob of sequence sk when two letters picked without replacement from {k: 2, x: 1, s: 1, i: 5}?
1/36
Calculate prob of sequence ipi when three letters picked without replacement from ipiufpuiiffufufpuff.
2/323
Two letters picked without replacement from kkkykkykxk. Give prob of sequence yy.
1/45
Three letters picked without replacement from fskxslkl. Give prob of sequence ksk.
1/84
Calculate prob of sequence u
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(q + 1)
Determine u, given that -4*u**4 - 572*u**3 + 5440*u**2 - 4864*u = 0.
-152, 0, 1, 8
Determine x so that 2*x**3/3 + 1240*x**2/3 + 7378*x/3 + 6140/3 = 0.
-614, -5, -1
Factor 24843*n**3/5 + 30030*n**2 + 6564*n/5 + 72/5.
3*(n + 6)*(91*n + 2)**2/5
Suppose -3*i**5/2 + 435*i**4/2 - 1845*i**3 + 1200*i**2 + 3264*i = 0. What is i?
-1, 0, 2, 8, 136
Find z, given that 8*z**4 - 313216*z**3 + 313210*z**2 - 78302*z = 0.
0, 1/2, 39151
Determine o so that 9*o**5 - 2*o**4 - 243*o**3 - 396*o**2 - 116*o + 48 = 0.
-4, -1, 2/9, 6
Determine a, given that -2*a**5/9 - 16*a**4/3 + 142*a**3 + 4220*a**2/9 + 56*a/3 - 624 = 0.
-39, -2, 1, 18
Find z such that -3*z**4/2 + 15*z**3/2 - 15*z**2/2 - 15*z/2 + 9 = 0.
-1, 1, 2, 3
Solve -f**4/8 - 519*f**3/8 = 0 for f.
-519, 0
Find h, given that 10*h**4/3 - 10119*h**3/2 - 32678*h**2/3 - 1014*h + 3040/3 = 0.
-2, -2/5, 1/4, 1520
Factor -x**3/4 + 23847*x**2/4 + 238770*x + 2388700.
-(x - 23887)*(x + 20)**2/4
Solve 2*x**2/9 - 4*x/3 - 30 = 0.
-9, 15
Find d such that 3*d**5/2 - 1143*d**4/2 + 107061*d**3/2 + 360639*d**2/2 - 1394496*d + 1161216 = 0.
-7, 1, 3, 192
Suppose -42*x**4 - 718*x**3 - 3428*x**2 - 3008*x - 256 = 0. Calculate x.
-8, -1, -2/21
Factor 4*k**3/7 - 2496*k**2 + 19542420*k/7 - 1004972184/7.
4*(k - 2157)**2*(k - 54)/7
Solve -5*d**2 - 468955*d + 468960 = 0.
-93792, 1
Suppose -2*a**4 + 82598*a**3 + 165202*a**2 + 82602*a = 0. Calculate a.
-1, 0, 41301
Solve -5*s**5/2 - 141*s**4 - 779*s**3 + 1210*s**2 + 15675*s/2 - 8125 = 0.
-50, -5, 1, 13/5
Factor -24*d**3 + 1364*d**2 - 6168*d + 7072.
-4*(d - 52)*(d - 2)*(6*d - 17)
Solve 2*z**2/11 + 746*z/11 + 2220/11 = 0 for z.
-370, -3
Factor -5*r**4 + 16065*r**3 - 12944280*r**2 + 64320400*r.
-5*r*(r - 1604)**2*(r - 5)
Factor -2*f**3 + 5440*f**2.
-2*f**2*(f - 2720)
Factor 13248*a**3 + 28*a**2.
4*a**2*(3312*a + 7)
Factor -3*b**2/8 + 4953*b/4 - 22167.
-3*(b - 3284)*(b - 18)/8
Factor 2*n**2/19 + 388*n/19 + 16770/19.
2*(n + 65)*(n + 129)/19
Suppose 90*b**5 - 435*b**4 - 980*b**3 + 1945*b**2 + 1140*b - 1260 = 0. What is b?
-7/3, -1, 2/3, 3/2, 6
Let s**4/7 - 176*s**3/7 + 9493*s**2/7 - 182262*s/7 + 788544/7 = 0. Calculate s.
6, 37, 96
Factor 192589938*a**2/5 - 39252*a/5 + 2/5.
2*(9813*a - 1)**2/5
Suppose 4*o**2 + 2508*o + 7488 = 0. Calculate o.
-624, -3
Factor 2*u**4/3 + 65168*u**3 + 4777531244*u**2/3 - 3185216336*u + 4777922258/3.
2*(u - 1)**2*(u + 48877)**2/3
Find v such that -2*v**4/3 - 190*v**3/9 - 1318*v**2/9 - 2866*v/9 - 460/3 = 0.
-23, -5, -3, -2/3
Let -4*j**4/3 - 1012*j**3/3 - 664*j**2 + 4048*j/3 + 8032/3 = 0. What is j?
-251, -2, 2
Let 5*d**2 + 241245*d + 241240 = 0. What is d?
-48248, -1
Factor -2*t**2/17 + 2190*t/17 - 896.
-2*(t - 1088)*(t - 7)/17
Factor 3*b**4 + 60*b**3 + 159*b**2 - 2310*b - 8712.
3*(b - 6)*(b + 4)*(b + 11)**2
Factor 3*n**3/4 - 113283*n**2/2 + 453123*n/4 - 56640.
3*(n - 75520)*(n - 1)**2/4
Determine a, given that a**2/9 - 56*a/3 - 340/9 = 0.
-2, 170
Suppose 5*v**3 + 6355*v**2 + 31620*v - 37980 = 0. Calculate v.
-1266, -6, 1
What is w in w**5/2 + 24*w**4 - 99*w**3/2 + 25*w**2 = 0?
-50, 0, 1
Factor 3*s**2/5 - 51132*s/5 + 217873452/5.
3*(s - 8522)**2/5
Factor 2*s**2 - 4110*s + 97488.
2*(s - 2031)*(s - 24)
Determine y, given that -y**3/7 - 268358*y**2/7 - 18004004041*y/7 = 0.
-134179, 0
Suppose -3*u**3 + 213*u**2 - 3516*u + 6204 = 0. What is u?
2, 22, 47
Find r, given that 2*r**2/5 + 408*r/5 + 10726/5 = 0.
-173, -31
Let g**4/3 + 2431*g**3 + 4394400*g**2 - 415717564*g/3 = 0. What is g?
-3662, 0, 31
Factor -4*g**2 + 16260*g + 1040256.
-4*(g - 4128)*(g + 63)
Factor -51005*z**2 - 373700*z - 684500.
-5*(101*z + 370)**2
Suppose 2*z**2/7 + 1626*z/7 = 0. What is z?
-813, 0
Factor 2*f**5 - 1844*f**4 - 14880*f**3.
2*f**3*(f - 930)*(f + 8)
Factor k**5 - 401*k**4 + 1170*k**3 + 9524*k**2 + 11144
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1)*-2. Solve a + 12 = -4*r for r.
-4
Let w = 52 + -102. Let b be 5/(w/4)*5. Let t be 52/8*2 + b. Solve 3*i - t = 1 for i.
4
Let v = 32 - 133. Let c = 113 + v. Solve -7*f + 3*f = c for f.
-3
Suppose -i + 4*j + 11 = 0, 3*i + 2*j = 4*j + 23. Solve i*a = 6*a - 5 for a.
-5
Suppose 130 = 4*b + 2*a, -35 = -b - 2*a + 5. Let y = -26 + b. Solve -y*p = -3 + 7 for p.
-1
Let f be (26/(-22) - -1) + (-42)/11. Let d be 4 - 7 - f - (-2 + 3). Solve 0 = -d*c + 3*c for c.
0
Let n = -16 - -21. Let s = -3 + n. Solve 0 = -x - s*x for x.
0
Let s be 2/7 + (-54)/(-7). Solve 3*p + 5 = s for p.
1
Let u = -162 + 162. Solve n + 7*n - 8 = u for n.
1
Let v be -5*(-1 - (-3 + 3)). Solve 0 = -5*c + v + 10 for c.
3
Let f = -44 + 52. Let a = 4 - -1. Solve a = 3*l - f*l for l.
-1
Let p = -57 + 62. Solve 0 = -p*n - 18 - 2 for n.
-4
Suppose -5*q = 10*q - 30. Suppose 1 = -k - q, -k = 3*l. Solve -l + 3 = -p for p.
-2
Let a be 165/9 - 26/(-39). Solve -21*j - 2 = -a*j for j.
-1
Let m(c) = -c**3 + c**2. Let x(i) = -5*i**3 + i**2 + i + 1. Let b(o) = -6*m(o) + x(o). Let j be b(5). Suppose -5*g + 3*g = -j. Solve g*a + 2*a + 20 = 0 for a.
-4
Suppose -5*n = l + 2 + 19, 5*l = -3*n + 5. Suppose 4*k + 4*y = 3*k - l, -4*k = 5*y + 5. Solve k = -o - o - 10 for o.
-5
Let z be 2*12/5*(-20)/(-8). Solve z - 2 = -2*d for d.
-5
Suppose -p = 2*d - 8, 2*d - p - 7 + 3 = 0. Suppose 0 = d*u + t + t, -5*u = 2*t. Solve -a = -u*a for a.
0
Let t = 239 + -237. Solve -8 = t*g - 0 for g.
-4
Suppose -297 = 3*y - 3*j, -3*j + 13 = -2. Let o = -92 - y. Solve -8 = -2*w - o for w.
3
Suppose 0*g + 4*g = 0. Suppose -6 = -12*y + 9*y. Solve y*a = -g*a for a.
0
Suppose 5*u = -c - 5, -3*u - 3 = c + 4. Let a be 255/c*4/(-6). Let t = a - 9. Solve -5*n + 12 = -t*n for n.
-4
Let t(w) = w - 6. Let b be t(12). Suppose r - b*r = 0. Let c be (r/(-9))/(0 - -1). Solve -5*p + 1 - 16 = c for p.
-3
Let l be (4/8)/(((-5)/2)/(-5)). Let i be (15/(-6))/(l - 20/16). Solve -i = n - 3*n for n.
5
Let b be (0/13)/((-6)/(-3)). Solve 22*h - 10*h - 60 = b for h.
5
Suppose 6*j = 2*j + 3*d + 25, -8 = j + 4*d. Let a(p) = -3*p + 10. Let o be a(2). Suppose 20 = j*r + o. Solve r*c = c for c.
0
Suppose 5*x + 17 = -g + 40, 2*x = -5*g + 46. Solve 0 - 8 = -g*z for z.
1
Suppose 32*u - 58*u = -104. Suppose 5*z - 5*t = -2*t + 49, 47 = 5*z - 4*t. Let g = z + -3. Solve u = -3*j - g for j.
-4
Let m = -1205 - -1209. Solve m*f + 8 = -0*f for f.
-2
Suppose 1 + 3 = 4*n + 3*u, 2*n - 2*u = 2. Suppose 65 = 4*t + n. Suppose 4*r = -0 + t. Solve -5*f = -r*f - 4 for f.
4
Let d = -226 - -232. Solve -8*o - 2 - d = 0 for o.
-1
Let u(x) = x**3 + 7*x**2 + 87. Let m be u(-8). Solve -10*b - 3 = -m for b.
2
Suppose -3*h + r + 3 = -2*h, 5*h - 3*r - 13 = 0. Let w be -4*2/(0 - h). Let n(q) = 4*q - 13. Let u be n(w). Solve u*t = 2*t - 4 for t.
-4
Let k(w) = 5*w + 60. Let a be k(-10). Solve -a = -s + 6*s for s.
-2
Suppose -13*x + 3*x + 230 = 0. Solve 0 = -5*v + 18 - x for v.
-1
Let t be (1 - 2/1)*-7. Suppose 2*z + 2*z - 4*q = 32, 4*z + 5*q + 13 = 0. Solve t*c = 4*c - z for c.
-1
Suppose 2*x = -3*q + 19, x + 4*q = 6*x - 36. Solve -5 = -x*u + 7*u for u.
5
Let j = -367 + 378. Solve -j*u + u - 40 = 0 for u.
-4
Suppose -2*m - 2*j + 39 = m, -4*j + 13 = m. Let q = 24 - m. Let y = q + -9. Solve 0 = y*z - 1 + 9 for z.
-4
Let p be ((-8)/6 - -2) + 125/15. Solve 8 = -13*g + p*g for g.
-2
Let s(n) = 2*n**3 - 2*n**2 - n - 1. Let w be s(2). Suppose 5*f = 5*o - w, -3*f = 4*o + 6 - 24. Solve y - f*y - 2 = 0 for y.
-2
Suppose 2*y + 4*i = 16, 5 = 2*y + 3*i - 11. Let f(o) = 4*o - 24. Let l be f(y). Solve 4 = l*c - 6*c for c.
2
Let q(l) = -4*l + 72. Let j be q(6). Suppose 0 = -j*r + 43*r + 20. Solve 10 = -r*u - 10 for u.
-5
Suppose 10 = 5*o - 0*o. Let n(z) = -2*z - 3. Let l be n(-2). Let f be (l/(4/8))/((-1)/(-2)). Solve -o - f = 2*i for i.
-3
Let u = -31 + 34. Let t(h) = -h**3 + h**2 + 6*h + 3. Let o be t(u). Solve -2*z = -o*z - 1 for z.
-1
Let s(w) = 5*w**2 - w + 3. Let k be s(3). Let t = k - 30. Suppose 4*b = -0*b. Solve -4*l - l - t = b for l.
|
{
"pile_set_name": "DM Mathematics"
}
|
32. Which is bigger: r or 4?
4
Let y = -22 - -12. Let j = -30 + y. Is j smaller than -40?
False
Let a(m) = -m**2 + m - 2. Let x = -6 + 6. Let r be a(x). Let z = 5 + -6. Which is bigger: z or r?
z
Let j = 1304/78387 + -2/493. Are j and -1 equal?
False
Let c(f) = 4*f**2 - 93*f - 17. Let w be c(27). Is w > 388?
False
Let c be -1 + ((-190)/90 - 3/(-1)). Is c <= 4/63?
True
Let j be -1 + ((-33)/(-12) - 6/8). Let p be 20/6*(-9)/(-1). Let g be (-12)/p - 1/(-3). Is g != j?
True
Let w(v) = 71*v - 6378. Let l be w(90). Let k be (19/4)/((-3)/(-8)). Which is greater: l or k?
k
Let d = -1999 + 309846/155. Which is bigger: d or 1?
1
Let v(g) = -12*g - 86. Let h be v(-7). Let p be (-488)/644 + 4/(-14). Are p and h unequal?
True
Let a = -1 + -26. Let q = a + 27. Is q greater than or equal to 3/52?
False
Let y = 721 - 835. Which is bigger: -112 or y?
-112
Let l = 535 + -516. Which is greater: 3 or l?
l
Suppose 3 + 1 = -o, 5*w - 3*o + 2488 = 0. Is -500 bigger than w?
False
Let h = -59.68 + 62. Let q = h - 2.2. Let p = q - 0.22. Which is greater: p or -0.3?
p
Let t = 12/35 + -178/315. Let g(n) = n**2 - 14*n - 18. Let f be g(13). Does t = f?
False
Suppose 9*c = 8*c + 1. Let i be (c + 3 - 3)/(-1). Which is bigger: -3/17 or i?
-3/17
Let b = -24 + 1. Let y = -21 - b. Suppose m + 4 = y. Which is smaller: -3 or m?
-3
Let j = -199/210 + -1/210. Is -2 > j?
False
Let p(t) = -t + 2. Let v be p(-1). Suppose -4 = -v*f + 2. Suppose f*a = -0*a + 8. Which is bigger: 6 or a?
6
Let n(b) be the first derivative of -3*b**2/2 + 36*b + 31. Let c be n(11). Suppose -11 - 7 = -5*z - 3*d, -5*z = -3*d - 12. Are c and z nonequal?
False
Let y be 6*(-4)/(-12) - 1. Let b = -61 + 35. Let d = b + 133/5. Which is smaller: d or y?
d
Suppose -3*o + 4*k = -50, -4*k - 70 = -2*o - 3*o. Let a(g) = -g**3 + 4*g**2 + 6*g - 1. Let y be a(5). Is y greater than o?
False
Let k = -1 - 2. Let m = -982 - -5891/6. Which is greater: k or m?
m
Suppose 0 = 5*b + 2*i - 506, -106 = -b + 3*i - 5*i. Suppose -4 = 6*f - b. Are f and 16 nonequal?
False
Let v be -6*(-18)/(-42) - -5. Suppose 4*d = 10 + 2. Is v bigger than d?
False
Let u be ((-6)/(-7184))/(58/(-232)). Which is smaller: 0.1 or u?
u
Let t = -301 - -3613/12. Which is bigger: 12 or t?
12
Let q(i) = -i**3 + 17*i**2 - 16*i - 7. Let o be q(16). Is o bigger than -21?
True
Let s = 15701/9417 - 2/3139. Which is greater: 17 or s?
17
Let r = -13.79 - -13.69. Which is greater: -5/12 or r?
r
Suppose -24*k - 4241 = -31313. Is 1129 > k?
True
Let q be (-21)/18 - -1 - 61/(-438). Are 1.3 and q unequal?
True
Suppose 152*h - 2750 = 163*h. Is -249 != h?
True
Let g be 454/(-20) - 165/550. Is g greater than or equal to -462/19?
True
Let s be (-5)/4 + (9 - (-455)/(-52)). Let l be (2/40)/(8/(-180)). Is l less than or equal to s?
True
Let d = -82.2 + 82. Let c = -0.3 - d. Is -2 at most c?
True
Suppose 0 = 10*c - 0*c. Suppose 4*r - 124 = -c*r. Is 31 != r?
False
Let r be 18/30*(-815)/495. Let u be ((-14)/198)/(1/(-3)). Let y = r - u. Which is smaller: y or 0?
y
Let r be 0*81/18*1/9. Suppose r = -6*h + 2 + 388. Is h != 65?
False
Let j = 2027 - 188513/93. Is j greater than or equal to -1?
True
Let q = 79 - 55. Let x = 26 - q. Is x equal to -0.2?
False
Let m(z) = -7*z. Let b be m(-2). Suppose -5*n - 22 = -4*u, -5*u + 3*u = -n - b. Suppose -6*a + u*a + 2 = 0. Is a not equal to -4/11?
True
Let m = -267 + 267.0657. Is m greater than -0.1?
True
Let a(w) = -17*w**3 - 4*w**2 + 3*w + 12. Let i be a(2). Which is greater: -1470/11 or i?
-1470/11
Suppose -p - 9 = 7. Let x(n) = -n**3 + 14*n**2 + 6*n + 25. Let u be x(14). Suppose -78 - u = 11*m. Do m and p have the same value?
False
Let s = 224 - 205.3. Let d = -36 - -55. Let q = d - s. Do q and 1/3 have different values?
True
Let q(p) be the third derivative of 2*p**3 + 1/24*p**4 + 0*p - p**2 + 0. Let s be q(-5). Is s at most 8?
True
Let p = -2 - 0. Let y be (-1 + 1)*(2 - 3). Suppose 0 = 5*m - 2*j + 25, -m + j + y*j = 8. Is p >= m?
True
Let m = -3.2 + 3.28. Let v = -41/3 - -13. Which is smaller: v or m?
v
Suppose 0 = -4*c, 3*c = -147*t + 148*t + 56. Which is greater: t or -29?
-29
Let v = -55969/35 + 1599. Let c(a) = 2*a - 1. Let k be c(1). Is k at most as big as v?
False
Suppose -32*s - 6 - 26 = 0. Is s less than -8/117?
True
Suppose 8*j = 78*j + 14420. Is j < 2?
True
Let d(o) = -o**2 + 2*o + 3. Let i be d(0). Suppose -i*s - 30 = -s. Is s greater than -16?
True
Let p = -40 + 12. Let i = p + 27.95. Which is smaller: 2 or i?
i
Let y = -219 - -221. Is -6/11 equal to y?
False
Suppose b = -4*c - 82, -3*b + 6*b - 6 = 0. Is -21 at least c?
True
Let y be (-87)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
ify t*t/((t*((t*(t/(t*t/((t*t**(-14)/t*t)/t))*t)/t)/t)/t)/t)*t/(t**12*t)*(t**(-1)/t)**(-2/19) assuming t is positive.
t**(118/19)
Simplify (x**(-5/6)/((x/(x/(x/(((x**(1/30)/x)/x)/x))))/x))/(x*x**(-2/5)*x*x**(-1/19)) assuming x is positive.
x**(-508/95)
Simplify (l**(-1/22))**(2/117)*l*l**(-9/7)*l**(4/11)*l assuming l is positive.
l**(9704/9009)
Simplify (((h**(-1)/h)**(-2/25))**23)**(-11) assuming h is positive.
h**(-1012/25)
Simplify (f*f**(2/3))/f**(2/5)*(f*f**(-1))/((f/(f*f**(-8/7)*f*f))/f) assuming f is positive.
f**(328/105)
Simplify (((p**0)**(-11/2))**(-24))**(46/3) assuming p is positive.
1
Simplify (h*h*h**(-10/3))**(-14)*(h*h**7)/(h*h**(-36)/h) assuming h is positive.
h**(188/3)
Simplify ((((m*m**(1/16))/m)/m)/(m/m**(-15)))**(-18) assuming m is positive.
m**(2439/8)
Simplify ((l*l/(l*l**(-1)*l)*l**(-1/5)/l)/(l**(-6)/(l*l/(l/(l**(-2/23)/l)))))**(-11) assuming l is positive.
l**(-7227/115)
Simplify (g**(-4/5)/g**(-2/35))/(g**(-1/3))**26 assuming g is positive.
g**(832/105)
Simplify ((q**(2/13)*q)/((q**(-1/2)*q)/q))/(q**(1/4))**(-1/4) assuming q is positive.
q**(357/208)
Simplify (x**(-4)*x**(-12/11)/x)/(x**(-7)*x)**(29/2) assuming x is positive.
x**(890/11)
Simplify (t/(t*((t*(t**37*t)/t)/t)/t*t))/(t*t/(t*t/(t*t*(t/(t*t/(t/((t/t**13)/t))))/t))*t)*t**24*t**(2/19) assuming t is positive.
t**(-530/19)
Simplify ((h**(-5/3)*h)/h*h**(1/4)/h)/(h**9/h*(h**(-2/3)/h)/h) assuming h is positive.
h**(-31/4)
Simplify ((((q*q/(q/(q*q/(q/(q*q/(q*(q**(2/7)*q)/q)))*q)))/q)/q**(1/7))/(q**(-4)*q**(1/3)))**(-2/45) assuming q is positive.
q**(-262/945)
Simplify (r**(-1/35)/(r*r*(r**(1/23)/r)/r))/(r**(12/7)/r**(2/49)) assuming r is positive.
r**(-9836/5635)
Simplify (a**(3/5))**33/(a**(7/2)*a/(a*a**(-1/5))) assuming a is positive.
a**(161/10)
Simplify (u**(-2/15)/(u*u**(-24)))/(u*u*u**(2/11)*u*u**8/u) assuming u is positive.
u**(2093/165)
Simplify (j*j**(-1/3))**44*j**(-5)*j*j**(-1/12) assuming j is positive.
j**(101/4)
Simplify (h**(-7))**(-28)/((h/(h**(-13)*h))/h**5) assuming h is positive.
h**188
Simplify ((t*t**23)/t**(-10))/(t**(14/3)/t)**42 assuming t is positive.
t**(-120)
Simplify (v*v*v**(-5))**(-26/9)*v**16/v**(-3/5) assuming v is positive.
v**(379/15)
Simplify w**7*w*w**(2/3)*(w*w**(-1/2)*w)**(-6) assuming w is positive.
w**(-1/3)
Simplify ((((d/d**(-3/23))/d*d)/d)/d**29)/(d**(2/41))**8 assuming d is positive.
d**(-27592/943)
Simplify ((g/((g*g*(g/g**13)/g*g)/g))/g*g/g**(-3/10))/(g**6/(g*g**16*g*g)) assuming g is positive.
g**(253/10)
Simplify ((s*s**(3/17)/s)/s*s)**(2/117)/(s**(17/2)/s**31) assuming s is positive.
s**(29839/1326)
Simplify (z**(-2/5)*z**(-2/79)/z)**(2/65) assuming z is positive.
z**(-1126/25675)
Simplify (q/q**(4/11))**32*(q*q**(2/3)*q)**(8/3) assuming q is positive.
q**(2720/99)
Simplify ((q**(1/4))**31/(q**(2/5))**(-4))**38 assuming q is positive.
q**(3553/10)
Simplify (j**(1/3)*j*j)**27*j**(-12)*j/(j**(-6)*j)*j assuming j is positive.
j**58
Simplify ((t**(-5)/t)/t*t**(-25))**(-23) assuming t is positive.
t**736
Simplify ((t**(-2/3)*t/(t/(t/((t*t*t/t**(2/7))/t)*t)))/(t**(1/10)*t**(-1)))**36 assuming t is positive.
t**(654/35)
Simplify ((c/(c*c*c**(2/65)*c))**(-1/4))**(-21) assuming c is positive.
c**(-693/65)
Simplify (m**(-10))**(-2/15)*m**(-1/12)*m*m**(-3)/m assuming m is positive.
m**(-7/4)
Simplify ((r*r**11)/r**(2/35))/(r**(-2/49)*r**9) assuming r is positive.
r**(731/245)
Simplify g/(g*g/(g**9*g))*g**(-2/33)*(g**(4/7))**26 assuming g is positive.
g**(5497/231)
Simplify ((l**(-18/5)/l)/l**(1/15))/(l*l**(2/7)*l)**(-20/9) assuming l is positive.
l**(26/63)
Simplify (y/(((y/(y*y**14/y*y*y*y)*y)/y)/y)*y**(-5/6))**(34/7) assuming y is positive.
y**(1751/21)
Simplify ((a*a*(a*(a*((a*a**1/a)/a)/a)/a)/a)/(a/(a*a/((a*a*a/(a/a**(-4))*a)/a)))*(a**(6/5)/a)/a**(-1/4))**(-2/7) assuming a is positive.
a**(-89/70)
Simplify (t**(-14)/(t**(-8)*t))/(t*(t*t**3/t*t)/t)**35 assuming t is positive.
t**(-147)
Simplify (b**(-40)/(b**(-2/5)*b*b))/((b/b**(-13)*b*b*b)/b)**18 assuming b is positive.
b**(-1648/5)
Simplify (u**18*u*u*u/u**(-4))/(u/((u**(-2/3)/u)/u))**(7/3) assuming u is positive.
u**(148/9)
Simplify ((w/(w**7/w)*w*w)/(w/(w*(w/(w/(w**10*w))*w)/w*w*w*w)))/(w**(-2)/(w**5*w)) assuming w is positive.
w**19
Simplify (w**(-4)/(w/w**13))/(w/(w**(-2/7)*w*w))**(-13) assuming w is positive.
w**(-9/7)
Simplify m*m*m**(-1)*m*m**(-2/13)*(m**(2/13))**(-4) assuming m is positive.
m**(16/13)
Simplify (r**(2/5)/(r*r**(-1/9)))/(r/(r/(r**(2/9)/r))*r*((r**(-9)*r)/r)/r) assuming r is positive.
r**(418/45)
Simplify (
|
{
"pile_set_name": "DM Mathematics"
}
|
(f) + 2*x(f). What is m(l(z))?
-8630*z + 2
Let p(r) = -4*r**2 - 126. Let b(u) = 25*u**2 + 643*u. What is b(p(s))?
400*s**4 + 22628*s**2 + 315882
Let s(a) be the first derivative of -a**3/3 - 592. Let l(g) = -280*g**2 - 2. What is s(l(w))?
-78400*w**4 - 1120*w**2 - 4
Let b(z) = -5*z**2. Let m(p) = -2800532*p**2. What is b(m(c))?
-39214897415120*c**4
Let s(d) be the third derivative of -d**4/6 - d**3/3 + 2*d**2 + 317. Let h(a) = -4*a**2 + 2. Determine h(s(w)).
-64*w**2 - 64*w - 14
Let z(a) = -2*a + 11306. Let n(i) = 28792*i**2 - 57581*i**2 + 28788*i**2. What is z(n(h))?
2*h**2 + 11306
Let k(j) be the second derivative of j**6/360 + 5*j**4/2 + 33*j. Let o(b) be the third derivative of k(b). Let z(y) = 171*y. Determine z(o(p)).
342*p
Let t(g) = -g**2 + 136*g + 699. Let x(d) = -3*d. Give t(x(c)).
-9*c**2 - 408*c + 699
Let y(l) = -l**3 - 8*l**2 + 6. Let f be y(-8). Let x(k) = -f + 2*k + 6. Let b(g) = -7*g + 4. Let d(c) = -6*c + 3. Let p(r) = 3*b(r) - 4*d(r). What is x(p(w))?
6*w
Suppose 0*u - 5*u - d = -20, -15 = 3*d. Let a(b) = -u*b - 12*b - 10*b + 26*b. Let l(p) be the third derivative of 7*p**4/12 + 3*p**2. Calculate a(l(c)).
-14*c
Let g(p) = 106*p + 60. Let u(i) = 56209*i. Give u(g(m)).
5958154*m + 3372540
Let f(n) = -n**2 - 2*n + 36187. Let r(u) = 118*u + 9. Give f(r(d)).
-13924*d**2 - 2360*d + 36088
Let y(x) = 11*x. Let q(w) be the first derivative of 2*w**5/15 - 19*w**2/2 - 63. Let l(k) be the second derivative of q(k). Determine l(y(t)).
968*t**2
Let m(o) = -11*o - 2. Let i(a) = -3 + 1 - 1 + 4. Let k(x) = 6*i(x) + 3*m(x). Let b(h) = -3223*h**2 + 1074*h**2 + 1068*h**2 + 1079*h**2. Calculate b(k(q)).
-2178*q**2
Let w(g) be the third derivative of 0 + 8*g**2 + 0*g**4 + 0*g**3 + g + 1/30*g**5. Let h(t) = 21*t**2. What is w(h(b))?
882*b**4
Let x be (((-20)/6)/1)/(3/(-900)). Suppose -k - 5*g + 336 = 0, 4*g + x + 272 = 4*k. Let p(n) = -k - 13*n + 321. Let c(l) = 2*l. Give c(p(o)).
-26*o
Suppose 3*d + 5*h - 122 = 0, -33 = -d - 4*h - 4. Let a(s) = -59*s - 55*s + 158*s - d*s. Let t(o) = 5*o. What is t(a(g))?
-25*g
Let g(x) = 26599*x. Let c(k) = -11*k**2 - 249*k. Calculate c(g(i)).
-7782574811*i**2 - 6623151*i
Let s(y) = 25*y - 1. Let b(l) = -3*l - 8. Let t(p) be the first derivative of -p**2 - 5*p - 67. Let i(w) = 5*b(w) - 8*t(w). Give i(s(n)).
25*n - 1
Let p(u) = 8 + 4 - 27 - 10*u + 12*u**2 + 4*u - 24*u. Let f(o) = -3*o**2 + 8*o + 4. Let j(l) = 15*f(l) + 4*p(l). Let r(m) = -41*m**2 - m. What is j(r(y))?
5043*y**4 + 246*y**3 + 3*y**2
Let d be 3 - (-5)/5*1. Let a(f) = f**3 - 4*f**2 + 2*f - 6. Let p be a(d). Let b(m) = -2*m**2 - m + m + 12*m**p. Let g(l) = -2*l**2. Give b(g(s)).
40*s**4
Let p(q) = 81*q. Let b(y) = -126640*y. Determine p(b(k)).
-10257840*k
Let j(s) be the second derivative of 13*s**3 - 3417*s. Let m(d) = 67*d**2. Give j(m(q)).
5226*q**2
Let c = 75 + -84. Let v(x) = -5*x + 27. Let m(i) = 2*i - 12. Let z(u) = c*m(u) - 4*v(u). Let g(t) = -t - 11. Calculate z(g(b)).
-2*b - 22
Let m(p) = -p. Suppose -2*f - 10480 = -7*f. Let x(r) = 2093*r**2 + 1 - f*r**2 - 1. Give m(x(o)).
3*o**2
Let j(f) = -2*f - 41. Let d(c) = c**2 - 2*c + 1. Let l(g) = -80*g**2 + 128*g - 64. Let u(m) = -192*d(m) - 3*l(m). Calculate u(j(h)).
192*h**2 + 7872*h + 80688
Let m(l) = 83*l. Let s(a) = -479*a - 121. Calculate m(s(o)).
-39757*o - 10043
Let y = -343 - -347. Let g(s) = 9*s + 2. Let b(o) = -65*o - 15. Let p(h) = y*b(h) + 30*g(h). Let f(i) = -10*i**2. Give p(f(t)).
-100*t**2
Let v(a) be the second derivative of -a**3/6 - 84*a - 55. Let g(z) = 7 - 7 - 9*z**2. Give g(v(m)).
-9*m**2
Let s(c) = -2174*c + 2. Let n(y) = 1415*y. Calculate n(s(p)).
-3076210*p + 2830
Let m(w) = -2*w. Let h(o) be the third derivative of -221*o**6/360 - 70*o**3/3 + 24*o**2. Let f(q) be the first derivative of h(q). Calculate m(f(x)).
442*x**2
Let y(n) = 2*n. Let u(o) = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of 19117944?
9
What is the hundred thousands digit of 48015660?
0
What is the ten thousands digit of 126225685?
2
What is the thousands digit of 213116736?
6
What is the ten millions digit of 694507616?
9
What is the hundreds digit of 241936893?
8
What is the ten thousands digit of 121909589?
0
What is the ten millions digit of 167126546?
6
What is the hundreds digit of 162443300?
3
What is the thousands digit of 208698401?
8
What is the tens digit of 225059111?
1
What is the ten millions digit of 137836775?
3
What is the ten thousands digit of 1475512799?
1
What is the hundred thousands digit of 32389653?
3
What is the ten thousands digit of 112356362?
5
What is the tens digit of 568185323?
2
What is the millions digit of 5688474079?
8
What is the ten thousands digit of 105974226?
7
What is the hundreds digit of 100737433?
4
What is the thousands digit of 729946461?
6
What is the thousands digit of 310151879?
1
What is the hundred millions digit of 347884219?
3
What is the billions digit of 3702367426?
3
What is the millions digit of 56715660?
6
What is the hundred millions digit of 357054028?
3
What is the hundred millions digit of 4819848819?
8
What is the hundred thousands digit of 8208557?
2
What is the hundreds digit of 223330236?
2
What is the millions digit of 682396096?
2
What is the units digit of 1431326189?
9
What is the hundreds digit of 199712821?
8
What is the tens digit of 129760422?
2
What is the hundred thousands digit of 2002368249?
3
What is the hundred thousands digit of 52705433?
7
What is the millions digit of 105196333?
5
What is the units digit of 44518358?
8
What is the ten thousands digit of 350767213?
6
What is the thousands digit of 26445912?
5
What is the billions digit of 7965651377?
7
What is the hundreds digit of 271822104?
1
What is the hundreds digit of 21217528?
5
What is the units digit of 164266586?
6
What is the billions digit of 3221272047?
3
What is the thousands digit of 56090371?
0
What is the millions digit of 825866479?
5
What is the millions digit of 216219577?
6
What is the units digit of 320966043?
3
What is the ten millions digit of 43726886?
4
What is the hundred millions digit of 822767760?
8
What is the millions digit of 490323055?
0
What is the tens digit of 331521558?
5
What is the millions digit of 5012022?
5
What is the hundred millions digit of 4425983445?
4
What is the ten millions digit of 86916738?
8
What is the thousands digit of 3214520?
4
What is the hundreds digit of 237398767?
7
What is the ten thousands digit of 1998032771?
3
What is the thousands digit of 19913612?
3
What is the units digit of 3681676719?
9
What is the ten thousands digit of 830962041?
6
What is the millions digit of 250363906?
0
What is the tens digit of 382130889?
8
What is the ten thousands digit of 894399946?
9
What is the ten millions digit of 27827019?
2
What is the millions digit of 333083725?
3
What is the units digit of 108842943?
3
What is the billions digit of 1138770363?
1
What is the hundreds digit of 292971226?
2
What is the thousands digit of 24689267?
9
What is the hundred thousands digit of 659498677?
4
What is the hundred thousands digit of 436082744?
0
What is the ten thousands digit of 4534812?
3
What is the hundreds digit of 4623783?
7
What is the ten thousands digit of 38271553?
7
What is the billions digit of 3999113825?
3
What is the ten millions digit of 237478478?
3
What is the hundred millions digit of 270384819?
2
What is the hundred millions digit of 3814320048?
8
What is the hundreds digit of 218622602?
6
What is the hundred thousands digit of 16581961?
5
What is the millions digit of 831151776?
1
What is the ten millions digit of 74692424?
7
What is the tens digit of 114044165?
6
What is the thousands digit of 33283068?
3
What is the ten millions digit of 155641916?
5
What is the millions digit of 97646650?
7
What is the millions digit of 161079156?
1
What is the hundred thousands digit of 480786632?
7
What is the units digit of 65769345?
5
What is the millions digit of 69828507?
9
What is the tens digit of 37729271?
7
What is the hundreds digit of 482490323?
3
What is the millions digit of 970944138?
0
What is the millions digit of 137433148?
7
What is the ten millions digit of 216389449?
1
What is the hundred thousands digit of 39478148?
4
What is the ten millions digit of 11204361?
1
What is the hundreds digit of 835674858?
8
What is the tens digit of 13403205?
0
What is the thousands digit of 301613415?
3
What is the millions digit of 817883705?
7
What is the millions digit of 417980749?
7
What is the thousands digit of 90013172?
3
What is the millions digit of 113761807?
3
What is the hundred millions digit of 2791090308?
7
What is the hundreds digit of 1068734541?
5
What is the units digit of 41830309?
9
What is the hundred thousands digit of 84891750?
8
What is the ten millions digit of 140246002?
4
What is the units digit of 1840909?
9
What is the millions digit of 173508750?
3
What is the hundred thousands digit of 38677989?
6
What is the billions digit of 1552551569?
1
What is the thousands digit of 1899471719?
1
What is the millions digit of 57439615?
7
What is the billions digit of 2013191766?
2
What is the hundred thousands digit of 872016508?
0
What is the tens digit of 50650192?
9
What is the thousands digit of 108516643?
6
What is the ten thousands digit of 3700306401?
0
What is the thousands digit of 2890439?
0
What is the units digit of 34819357?
7
What is the hundred millions digit of 1641702043?
6
What is the millions digit of 6745696075?
5
What is the hundred thousands digit of 494877709?
8
What is the units digit of 444059733?
3
What is the thousands digit of 128565709?
5
What is the millions digit of 118688813?
8
What is the ten thousands digit of 219119653?
1
What is the tens digit of 150647641?
4
What is the tens digit of 665581520?
2
What is the hundred thousands digit of 3170337275?
3
What is the ten millions digit of 204961118?
0
What is the tens digit of 29211064?
6
What is the tens digit of 25269468?
6
What is the ten thousands digit of 2779707343?
0
What is the tens digit of 514240928?
2
What is the ten millions digit of 4590519547?
9
What is the ten thousands digit of 789509557?
0
What is the millions digit of 120317254?
0
What is the hundred millions digit of 346770825?
3
What is the ten millions digit of 117387942?
1
What is the ten thousands digit of 63011712?
1
What is the millions digit of 120829678?
0
What is the millions digit of 56329431?
6
|
{
"pile_set_name": "DM Mathematics"
}
|
*u - 5. Give q(a(g)).
335*g**2 - 5
Let r(u) be the third derivative of 844*u**4/3 + 2*u**2 + 290*u. Let y(f) = 2*f**2. Determine r(y(m)).
13504*m**2
Let z(k) = -5994*k - 2. Let a(j) = j**2 + 16*j. What is z(a(h))?
-5994*h**2 - 95904*h - 2
Let g(s) = 19*s - 1. Let m(k) = 2363*k**2 - 112*k. What is g(m(b))?
44897*b**2 - 2128*b - 1
Let r(i) = -2*i. Let d(m) = 51316256*m. Determine d(r(c)).
-102632512*c
Let n(b) = 312698*b. Let t(x) = 5*x - 7. Determine t(n(v)).
1563490*v - 7
Let i(r) = -8*r**2 + 6*r - 6. Let w(t) = -17*t**2 + 13*t - 13. Let f(p) = -13*i(p) + 6*w(p). Let o(k) = 0 - 484*k + 481*k - 25 - 14. Give f(o(c)).
18*c**2 + 468*c + 3042
Let b(v) = 168199911*v**2. Let o(p) = 2*p**2. Calculate o(b(s)).
56582420120815842*s**4
Let s(p) = -2*p**2. Suppose -463 + 1783 = 11*k. Let x(l) = 118*l - 7 - 246*l + k*l. Calculate s(x(c)).
-128*c**2 - 224*c - 98
Let q(l) = 1. Let g(k) = -2*k + 20. Let d(n) = g(n) + 5*q(n). Suppose 4*f - z - 3*z = 36, -3*f + 17 = 2*z. Let w(s) = -6*s + f*s - 2 + 2 + s. Determine w(d(u)).
-4*u + 50
Let u(n) = -8*n. Let q(p) be the third derivative of -3/8*p**4 + 38*p**2 + 0*p + 0*p**3 + 0. Give u(q(b)).
72*b
Let p(u) = 1356051*u - 7*u**2 - 1356051*u + 25*u**2. Let s = 2 + 0. Let g(d) = s*d**2 + 2*d**2 + 0*d**2. Give g(p(k)).
1296*k**4
Let o(m) = -8. Suppose -5*n + 10 = 2*v, 31 = 3*n + n - 3*v. Let i(t) = -t + 2. Let r(j) = n*i(j) + o(j). Let f(h) = -8*h**2. Determine r(f(q)).
32*q**2
Let h(m) = m**2. Let j(u) = u**3 - 6*u**2 - 2. Let l be j(6). Let v be 0 + 1 - (l - -1 - 0). Let o(y) = v*y + 3*y - y - 3*y. Give h(o(r)).
r**2
Let c(g) = -27*g**2. Let j(v) = -5*v - 30. Let u be j(-7). Let q(w) = 11*w - u*w - 5*w - 5*w. Determine q(c(f)).
108*f**2
Let b(p) = 2*p**2. Let k(j) = j**3 - 7*j**2 + 8*j - 8. Let q be k(6). Suppose 5607 = 3*h + q*h. Let v(u) = h - 801 - 57*u**2. Give b(v(t)).
6498*t**4
Let h(y) = 2*y**2 - 112*y. Let w(u) = -2*u + 240063. Calculate w(h(o)).
-4*o**2 + 224*o + 240063
Let l(o) = 31*o**2 + 138*o + 5. Let t(h) = 5*h**2. Calculate l(t(j)).
775*j**4 + 690*j**2 + 5
Let l(u) = -461*u**2. Let c(m) = 7*m**2 + 6*m - 12. Let b(f) = 42*f**2 + 35*f - 70. Let z(t) = 6*b(t) - 35*c(t). Calculate z(l(n)).
1487647*n**4
Let t(x) be the third derivative of 0*x - x**2 + 48 + 0*x**4 + 0*x**3 - 2/15*x**5. Let w(k) = 11*k**2. Calculate w(t(r)).
704*r**4
Let t(c) = 9*c - 247. Let r(m) = 2*m - 57. Let s(w) = -26*r(w) + 6*t(w). Let q(p) = -145*p**2. Calculate s(q(k)).
-290*k**2
Let a(b) = 7*b. Suppose 6999 = 9*s - 6501. Let o(k) = 745*k + 744*k - s*k. Calculate a(o(l)).
-77*l
Let z(n) = 26*n. Let g(a) = -32*a + 33. Let d(q) = 158*q - 176. Let o(y) = 3*d(y) + 16*g(y). Determine z(o(j)).
-988*j
Let z(b) = 489*b - 1 - 964*b + 479*b + 3. Let j(v) = -83*v. Give j(z(q)).
-332*q - 166
Let r(l) = -481053164 + 481053164 + l**2. Let w(o) = 3745*o**2 + 385*o - 385. Let t(n) = -39*n**2 - 4*n + 4. Let y(f) = -385*t(f) - 4*w(f). Calculate r(y(s)).
1225*s**4
Let o(k) = -8796958*k. Let c(j) = 4*j**2. Give o(c(p)).
-35187832*p**2
Let s(y) = -7*y - 3. Suppose -49 - 6 = -5*m. Let q be 0/(2 - (-3 + m + -4)). Let n(c) = q*c + 0*c + 393*c**2 - 395*c**2. Give s(n(w)).
14*w**2 - 3
Let o(v) = -9*v**2 + 2. Let h(p) be the second derivative of -7*p**4/12 - 801*p. What is h(o(d))?
-567*d**4 + 252*d**2 - 28
Let x(i) = i**2. Let o(k) = -5*k**2 - 35*k - 84. Let f(j) = -37*j**2 - 246*j - 630. Let h(w) = 2*f(w) - 15*o(w). Give x(h(g)).
g**4 + 66*g**3 + 1089*g**2
Let z = -161 + 172. Let q(x) = 11*x + 13*x - 36*x + z*x. Let t(w) = 62*w**2. Determine t(q(k)).
62*k**2
Let c(k) = 3*k - 1. Let a(l) = 16*l - 5. Let z(s) = 4*a(s) - 20*c(s). Let n be (6 - 7) + 1 + 2. Let w(p) = 7*p - 8 + 8 + n*p. Give z(w(b)).
36*b
Let t(y) = 12*
|
{
"pile_set_name": "DM Mathematics"
}
|
14)/(-2 + x/7). Find the second derivative of -n*l - l - 2*l**5 + 4*l wrt l.
-40*l**3
Let h(r) = 5511*r**2 - 14*r + 9718. Let p(b) = 2753*b**2 - 8*b + 4861. Let y(q) = 4*h(q) - 7*p(q). What is the first derivative of y(d) wrt d?
5546*d
Let p(n) be the first derivative of 456*n**7/7 - 849*n**3 + 63. Find the third derivative of p(d) wrt d.
54720*d**3
Let n = 16625 + -16599. Let a(i) be the first derivative of 0*i**3 - 14*i**2 - 1/6*i**6 + 0*i**5 + 0*i**4 + 0*i - n. Find the second derivative of a(r) wrt r.
-20*r**3
Suppose 3*j = -2*v + 4, 0*v = -4*v + 4*j + 8. Find the first derivative of -153*h**2 - h**3 + 302*h**2 - 140*h**v - 65 wrt h.
-3*h**2 + 18*h
What is the third derivative of 977*y**2 + 1780*y**5 + 4 + 1021*y**2 - 1837*y**2 - 42*y**5 wrt y?
104280*y**2
Let g(s) = s - 2. Let r(v) = 23*v + 11. Let a(u) = g(u) - r(u). Find the first derivative of a(j) wrt j.
-22
What is the derivative of 884*o**3 - 311 - 180*o + 3104*o**3 + 180*o wrt o?
11964*o**2
Let s = 6 + -3. Suppose 4*u - 26 = -5*o, -3*o - 24 = -7*o - 4*u. Differentiate 20 + 11*g**o - s + 4*g**2 with respect to g.
30*g
Let n(p) be the first derivative of -p**4/4 - 300*p**3 + 995*p - 7810. What is the first derivative of n(q) wrt q?
-3*q**2 - 1800*q
Suppose 0 = -1115*y + 1129*y. Let u(g) be the first derivative of 33 + y*g**3 + 6/5*g**5 + 0*g - 7*g**2 + 0*g**4. Find the second derivative of u(t) wrt t.
72*t**2
Let c(g) be the third derivative of 4651*g**4/24 + 5309*g**3/6 - g**2 + 44*g. Find the first derivative of c(y) wrt y.
4651
Suppose -3170 = 46*q - 56*q. Find the second derivative of 298*c - 375 + 375 - q*c**2 wrt c.
-634
Let x(a) = 23*a**2 - 20*a**2 + 0*a**3 + 1 - a**3 + 3*a. Let t be x(-1). Find the second derivative of 23*y**2 - 39*y**2 + 23*y**t - 31*y wrt y.
14
What is the second derivative of 0*i**2 - i**2 - 74*i + i + 2*i**4 - 3*i**3 + 1697 - 4*i**2 - 1645 wrt i?
24*i**2 - 18*i - 10
Suppose -132 = -4*n - 3*m + 280, -4*n - m = -412. Find the second derivative of -14*f**2 + 7*f + 53*f + 6*f**3 - n*f wrt f.
36*f - 28
Suppose 0 = -5*y + 5*n + 5, 3*n - 8 = -23. Let c(w) = 174*w + 71. Let j(p) = -175*p - 72. Let k(z) = y*j(z) - 5*c(z). What is the derivative of k(m) wrt m?
-170
Suppose -7*t + 11 = 4. Suppose -3*m - 3*z + 252 = 0, -3*m + 3*z - 142 = -364. Differentiate t + 48*r**3 - m*r**3 + 1 with respect to r.
-93*r**2
Let n(k) = 1. Let v = 30 + -29. Let i(b) = 31*b + 60. Let z(d) = v*i(d) + 3*n(d). What is the derivative of z(l) wrt l?
31
Let y(l) be the third derivative of -l**6/6 + 29*l**5/15 - 1865*l**3/6 + 76*l**2 + 9*l - 1. Differentiate y(c) with respect to c.
-60*c**2 + 232*c
Find the second derivative of -11*x**2 - 37 - 22*x + 34*x - 1509*x**2 - 24*x**2 - 11*x wrt x.
-3088
What is the third derivative of 52641*z**2 + 68*z**3 + 4*z - 43906*z**2 - 1350*z**3 - 4*z wrt z?
-7692
Find the third derivative of -280684*h + 174*h**2 + 10*h**3 - 2*h**4 - 16*h**5 + 2*h**4 + 280687*h wrt h.
-960*h**2 + 60
Find the first derivative of -65*m - 1509 - 74*m - 177*m - 238*m - m**2 - 99*m wrt m.
-2*m - 653
What is the second derivative of -5*s**2 - 2953*s + 0*s**2 - 14*s**3 + 3759*s wrt s?
-84*s - 10
Let h be 2*((-6)/(-10) + 2/5). Suppose 4*i + h = d - 3, -2*i - 7 = -d. Find the third derivative of d*c**5 - 5*c**2 - 16*c**2 + 9*c**2 wrt c.
540*c**2
Let x(d) be the second derivative of 2158*d**7/21 + 3*d**4/4 + 265*d**3/6 + d**2 - 1603*d + 4. What is the third derivative of x(i) wrt i?
258960*i**2
Let r(k) be the third derivative of -55*k**7/21 - 24*k**5/5 - 1019*k**2. Find the third derivative of r(p) wrt p.
-13200*p
Let z(o) = -2*o - 19. Let h be z(-12). Let x be 9 + 3 - (0 - 0). What is the second derivative of -h*k + 5*k - x*k**3 + 6*k wrt k?
-72*k
Let s(z) = z + 4. Let n be s(3). Let y be 26/6 - (n/3 + -2). Find the third derivative of 0*r**2 - 2*r**3 - 12*r**3 - 7*r**2 - y*r**2 wrt r.
-84
Suppose 3*t = -4*a + 242, -5*t + 2*a = -8*t + 238. What is the derivative of -54*h - t + 25*h - 48*h wrt h?
-77
Let q = -363 + 676. What is the first derivative of -320 - 4*y**3 - 21*y**3 + q wrt y?
-75*y**2
Let t(c) be the second derivative of -287*c**4/2 - 709*c**3/6 - 23*c - 25. Find the second derivative of t(x) wrt x.
-3444
Suppose 5*h + 872 = 1027. Find the second derivative of s**5 + h - 4*s + 56*s**4 - 11 + 21 wrt s.
20*s**3 + 672*s**2
Find the second derivative of -1714*m**4 + 3038*m + 63*m**4 - 3 - 41*m**4 + 3 wrt m.
-20304*m**2
Let r(y) be the second derivative of -
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from {m: 4, j: 3}.
18/35
Two letters picked without replacement from {o: 2, p: 2, x: 1, q: 1, v: 1}. Give prob of picking 1 x and 1 q.
1/21
Three letters picked without replacement from ffcyfet. What is prob of picking 2 f and 1 e?
3/35
What is prob of picking 3 w when three letters picked without replacement from wkikikikiwiiwxkxkik?
1/969
Four letters picked without replacement from qqsqoopxlxppxsox. What is prob of picking 1 q, 1 s, and 2 p?
9/910
Two letters picked without replacement from {m: 3, e: 2, r: 9, o: 5}. Give prob of picking 1 e and 1 o.
10/171
Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 2, j: 1, q: 1, w: 3, k: 6}.
2/13
Two letters picked without replacement from ppxlppxpl. What is prob of picking 2 l?
1/36
Four letters picked without replacement from xjxrrrjrxxxxjjxj. What is prob of picking 3 x and 1 r?
1/13
Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 1, k: 7, l: 6}.
6/91
Three letters picked without replacement from {b: 1, q: 1, n: 2, x: 1, f: 1, g: 2}. What is prob of picking 2 g and 1 f?
1/56
Two letters picked without replacement from {o: 4, k: 7}. Give prob of picking 1 k and 1 o.
28/55
What is prob of picking 1 z, 1 g, and 1 r when three letters picked without replacement from {x: 2, g: 5, z: 2, r: 3}?
3/22
Two letters picked without replacement from {h: 1, t: 2, y: 4, s: 4}. Give prob of picking 1 s and 1 y.
16/55
What is prob of picking 2 i when two letters picked without replacement from {i: 2, a: 2}?
1/6
What is prob of picking 1 s and 1 k when two letters picked without replacement from fnfks?
1/10
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, e: 2, l: 3, p: 1, q: 2, z: 10}.
3/95
What is prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {y: 1, f: 1, l: 2, d: 1}?
1/10
What is prob of picking 2 o, 1 m, and 1 l when four letters picked without replacement from {z: 4, m: 6, o: 5, l: 1, v: 4}?
4/323
Two letters picked without replacement from {t: 2, o: 8, g: 9}. Give prob of picking 2 g.
4/19
Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {t: 1, n: 1, g: 1, l: 8, c: 1}.
4/33
Two letters picked without replacement from {b: 4, r: 3, f: 3, d: 1, e: 2, x: 2}. Give prob of picking 1 d and 1 r.
1/35
What is prob of picking 2 s when two letters picked without replacement from {s: 9, o: 2}?
36/55
Three letters picked without replacement from {b: 1, c: 4, w: 5, a: 8}. What is prob of picking 1 a and 2 w?
5/51
Three letters picked without replacement from jjjwjyjeywjjyjjjy. What is prob of picking 1 j, 1 e, and 1 y?
1/17
Calculate prob of picking 1 x and 1 i when two letters picked without replacement from qixqqxqqixqxq.
4/39
Calculate prob of picking 1 h, 1 p, and 2 n when four letters picked without replacement from {h: 1, p: 10, r: 1, n: 5}.
5/119
Two letters picked without replacement from qssssssssqsssqqsssq. Give prob of picking 2 s.
91/171
Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {x: 5, d: 15}.
15/38
Calculate prob of picking 1 o, 1 e, and 1 v when three letters picked without replacement from {e: 5, o: 4, v: 1}.
1/6
Three letters picked without replacement from {a: 9, p: 7}. Give prob of picking 1 p and 2 a.
9/20
Four letters picked without replacement from {z: 2, p: 9}. What is prob of picking 3 p and 1 z?
28/55
Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {u: 3, o: 2, d: 3, v: 9}.
9/680
Calculate prob of picking 1 e and 1 y when two letters picked without replacement from eyyeycyycccyc.
2/13
Calculate prob of picking 3 d when three letters picked without replacement from dcdcccddccccd.
5/143
Three letters picked without replacement from {t: 2, x: 3, i: 2, s: 3, z: 9}. Give prob of picking 1 z and 2 x.
9/323
What is prob of picking 3 l when three letters picked without replacement from llluul?
1/5
Calculate prob of picking 3 j and 1 q when four letters picked without replacement from qqqqqqqqjqjqqjqq.
1/140
Four letters picked without replacement from {y: 11, m: 6, s: 2}. Give prob of picking 4 m.
5/1292
Four letters picked without replacement from nnccnnnccnnnnccnnn. What is prob of picking 2 n and 2 c?
11/34
Four letters picked without replacement from {z: 7, p: 3, f: 3}. Give prob of picking 1 f and 3 z.
21/143
Calculate prob of picking 1 l, 1 k, and 2 n when four letters picked without replacement from {l: 4, z: 2, n: 2, w: 5, k: 1, v: 1}.
4/1365
What is prob of picking 2 w when two letters picked without replacement from wwwnwwww?
3/4
Calculate prob of picking 1 h and 3 m when four letters picked without replacement from mhzmhmhz.
3/70
What is prob of picking 2 n and 1 q when three letters picked without replacement from {g: 7, n: 5, q: 4}?
1/14
Two letters picked without replacement from {r: 3, e: 3, m: 5, y: 2, d: 2}. Give prob of picking 1 y and 1 d.
4/105
Four letters picked without replacement from {g: 2, v: 2, x: 4, q: 2}. What is prob of picking 1 x, 2 g, and 1 q?
4/105
Two letters picked without replacement from {i: 1, j: 4, d: 1, e: 1, w: 2}. Give prob of picking 1 i and 1 e.
1/36
Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {y: 1, s: 2, l: 2, i: 1}.
0
What is prob of picking 2 p when two letters picked without replacement from {p: 6, i: 1, n: 1, q: 1}?
5/12
What is prob of picking 1 v and 1 x when two letters picked without replacement from mxqnvmn?
1/21
Calculate prob of picking 1 n and 1 x when two letters picked without replacement from kxjxxnnnnknnxkkk.
1/5
Calculate prob of picking 1 f, 1 j, 1 o, and 1 w when four letters picked without replacement from vjjvvooffjfolwvovfvv.
16/1615
Three letters picked without replacement from aodsaossvsdbdds. What is prob of picking 2 o and 1 v?
1/455
Three letters picked without replacement from ivbvbbbjvvbbvivvvqbb. What is prob of picking 1 j and 2 i?
1/1140
Calculate prob of picking 3 v and 1 e when four letters picked without replacement from vvvvevvvvvvvvvvevv.
56/153
Three letters picked without replacement from {x: 3, y: 2, g: 10}. Give prob of picking 2 g and 1 y.
18/91
Four letters picked without replacement from {g: 3, d: 5, z: 1, e: 6}. What is prob of picking 2 e, 1 d, and 1 g?
15/91
Two letters picked without replacement from eeoeee
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Suppose -w + 0*w = 3*j + 17, -4*j = -5*w - 9. Let n be ((-2)/j)/((-4)/(-13664)). Suppose -g + n = 6*d - d, 2*g - 347 = -d. Is d composite?
True
Let g = -24 + 42. Suppose -g*t + 15*t + 3 = 0. Is (22 - 23)/(t/(-123)) a prime number?
False
Suppose -913*g = -909*g + 36. Let l(d) = -314*d + 61. Is l(g) a prime number?
True
Let l(w) = -7428*w - 26. Let r be l(-6). Suppose -3267 = 5*h - r. Suppose -12*v = v - h. Is v a prime number?
False
Let j = -98 - -98. Suppose j = 7*p - 60 - 10. Is (-1245)/p*2/(-3) a composite number?
False
Suppose -11*i + 34*i - 15582582 = 5*i. Is i composite?
True
Let k(f) = 1164*f - 206. Suppose l + 3*a = 20, -15*a + 3 = -14*a. Is k(l) prime?
False
Let r = 1058591 - 644053. Is r a composite number?
True
Is 4/10 + (-434)/(-35)*12378/12 a prime number?
True
Suppose -6*k + k - 45 = 0. Let c be k/(-1 + -2) - 0. Suppose -3*h - 2*h = c*b - 5830, -5 = 5*h. Is b prime?
False
Let s(w) = w**2 + 11*w - 16. Let u be s(-8). Let g = u + 45. Suppose -633 = 2*c - g*c. Is c prime?
True
Let p(t) = -5*t**2 - 7*t - 3. Let z be p(-5). Let h = -103 - z. Let a = 43 - h. Is a composite?
False
Let l be (-18)/12*-1 - 2/4. Is (4388/16*4)/l a composite number?
False
Let k be (-3)/5 + (-288)/(-80). Is (-157350)/(-105) - k/(-7) a composite number?
False
Is (1*-1 - -334601) + 30 + (-4 - 23) composite?
False
Suppose 2*m + 5*g - 36255 = 0, 2*m + 840*g - 36273 = 841*g. Let j(o) = o**3 + o**2 + 16. Let k be j(0). Is m/20 - (-4)/k prime?
True
Let c(f) = -8*f + 14. Let d be c(3). Let a be ((-24)/d)/(-4 - (-248)/60). Is a/(-90) - (-4506)/5 a composite number?
True
Suppose -17*m + 1 = -18*m. Let c be 10 - (m - (-5 + -1)). Suppose r - 5*q - 203 = 0, -2*q + 0*q = c*r - 1069. Is r a prime number?
False
Suppose 5*r = 3*r + 2, 389 = 2*g + 5*r. Let v = 5543 - g. Is v composite?
False
Let h(x) = x**3 + 116*x**2 + 101*x - 187. Is h(-115) a prime number?
True
Is ((-55493185)/561)/(4/(-3) - -1) a prime number?
False
Suppose -1921561 - 22860944 - 1977480 = -105*q. Is q a composite number?
False
Let f be (41890 + 2)*1/2. Suppose 0 = -26*z + 56 + 282. Suppose 0 = -z*u + 7*u + f. Is u prime?
True
Let y be (100/8)/5 - 1/(-2). Suppose -2*x - y*w = -14827, 3684 = x - 3*w - 3752. Is x a composite number?
True
Let s(k) = -11 - 11 - 2*k - 2. Let l be s(-15). Suppose -5300 = -l*c + 2146. Is c a composite number?
True
Let q(u) = 172*u**2 - 2*u - 25. Let i be q(16). Suppose i = 24*a + a. Is a prime?
True
Let y be 3 + (3/12 - (-6)/8). Let h = 3155 - 1494. Suppose i = 3*j - 4967, 0 = -j + 3*i - y*i + h. Is j a prime number?
True
Let y = 26936 - 14421. Is y prime?
False
Let j = -1859 + 8392. Suppose m = -5*z + 1966, -j + 550 = -3*m + 2*z. Is m a composite number?
True
Let g(k) = -2635*k**3 - 3*k**2 + 6*k + 6. Let y be g(-3). Suppose 0 = 1126*u - 1120*u - y. Is u a composite number?
True
Suppose 37*n + 33*n - 9399803 = -2649633. Is n composite?
False
Let u(m) = m**3 + 5*m**2 - 10*m - 12. Let v be u(-7). Let o = v - -42. Suppose j + 228 = 3*y - 2*j, -4*y + o*j + 306 = 0. Is y a composite number?
True
Suppose -19*t + 238 = -36*t. Is t/(-35) + (-28786)/(-10) a prime number?
True
Suppose 0*v = -v - 5*z + 38579, 4*v - 3*z - 154362 = 0. Suppose -2*c + v = 3*c + s, 2*s + 23143 = 3*c. Is c a prime number?
True
Let a(q) = 6*q**2 + 112*q + 6884. Is a(105) prime?
False
Let g(t) = 748*t**2 - 4*t - 7. Let x be ((-165)/99)/(5/6). Is g(x) composite?
True
Suppose 17 = o - 5*s, 3*o - 17 = -4*s + 53. Is (24/(-14))/(o/77) - -3187 composite?
False
Suppose -150*w + 154*w - 2*b - 9065340 = 0, 3*w - 4*b = 6799025. Is w a prime number?
True
Let y = -127356 + 274723. Is y prime?
False
Let h = 310985 - 98529. Suppose 8*l - h = -0*l. Is l composite?
False
Suppose 0 = -3*y - 11 - 1. Let c(a) = -5*a**3 - 38*a**2 - 27*a - 37. Let i be c(-7). Is (5498/y)/(i/(-10)) composite?
False
Is 472723 + (85/(-68))/(5/(-24)) a prime number?
False
Suppose 0*b + 3992 = -4*j + 3*b, -b + 4979 = -5*j. Let k = j + 1582. Is k a prime number?
True
Suppose -6*k = -12*k + 60. Let i(s) = 4*s**3 + 10*s**2 + 16*s + 13. Is i(k) a composite number?
True
Suppose 5*h - 3*q = 2*q - 440, -3*q = -2*h - 177. Let c = h - -84. Is -1 + (-1)/c + (-1572)/(-36) prime?
True
Let d(n) = -1591*n**3 + 3*n**2 - n - 1. Let x be d(-1). Let w = 5205 - x. Is w a prime number?
False
Suppose 15*c = 8*c + 21. Suppose 89 - 285 = 3*l - 2*o, 5*l - c*o = -327. Let k = 145 - l. Is k composite?
False
Let d(j) = -j**3 - 8*j**2 + 7*j - 19. Let p be d(-9). Is (-7)/p + (69037 - 9) a composite number?
True
Let j(x) = 14*x + 2. Suppose 4 = 3*s - 107. Let t = s + -33. Is j(t
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate t(r(m)).
8*m**2
Suppose 173 = 39*j + 17. Let g(u) be the second derivative of -6*u + 0*u**2 + 1/12*u**j + 0*u**3 + 0. Let q(h) = 8*h. Give q(g(a)).
8*a**2
Let r(y) be the third derivative of -y**4/12 - 139*y**2. Let p(v) = 215*v. What is p(r(d))?
-430*d
Let y(t) be the second derivative of -t**4/4 + 428*t. Let i(w) = -4*w**2 - 5*w + 5. Let f(d) = 4*d**2 + 4*d - 4. Let n(h) = -5*f(h) - 4*i(h). Give y(n(o)).
-48*o**4
Let g(q) = -9*q**2 + q. Let n(m) = 22*m - 2*m**2 + 21*m - 70*m + 27*m. Give g(n(r)).
-36*r**4 - 2*r**2
Let w(y) = 4*y - 4. Let d(s) = -2*s + 4. Let z(t) = 5*d(t) + 5*w(t). Let h(a) = -31*a**2. What is z(h(c))?
-310*c**2
Let x(b) = b**2 + 15. Let o(w) = w - 1. Suppose -4*t + 26 = 5*v, t + 1 + 0 = 0. Let i(u) = 8*u - 6. Let l(m) = v*o(m) - i(m). What is x(l(r))?
4*r**2 + 15
Let z(d) = 9*d**2. Suppose -25 = -5*x, 3*f - 1615 = 2*x - 113. Let a(g) = f*g + 2*g**2 - 504*g. What is z(a(m))?
36*m**4
Let s(x) be the second derivative of -7*x**4/12 - 2*x. Let d(y) = -1 - 271*y + 1 + 140*y + 141*y. Determine d(s(a)).
-70*a**2
Let z(u) = -2*u**2 + 1209. Let f(v) = -3*v. What is z(f(n))?
-18*n**2 + 1209
Let w(l) = 0*l + 5*l + 2*l - 3*l. Let q(k) = -10*k + 18*k + 11*k - 15*k. Calculate w(q(f)).
16*f
Let n(t) = -t. Let o(a) = -4*a. Let k(p) = -2*n(p) + o(p). Let y(j) be the first derivative of j**3/3 + 39. Calculate y(k(d)).
4*d**2
Let h(v) = 2*v. Let a be 0*((-7)/7 - -2). Let o(r) be the second derivative of 0*r**2 - 5*r + 0 + a*r**3 - 1/12*r**4. Calculate o(h(n)).
-4*n**2
Let u(r) be the first derivative of -r**4/4 - 7*r**3/3 + 7*r**2/2 - r + 4. Let c be u(-8). Let w(h) = 17 - 10 - c + 4*h. Let x(s) = 2*s. Calculate w(x(b)).
8*b
Let c(y) = 2*y**2 - 2*y + 1. Let q(a) = -2*a**2 + 56*a - 3. Let v(h) = -3*c(h) - q(h). Let u(t) = t**2. What is v(u(i))?
-4*i**4 - 50*i**2
Let t(j) be the third derivative of 7*j**4/6 - 5*j**2 - 2. Let f(w) = -3*w. Let v(s) = s. Let d(m) = f(m) + 2*v(m). Calculate d(t(n)).
-28*n
Let o(h) = 102*h. Let a(y) = 68*y. Let c(t) = -8*a(t) + 5*o(t). Let u(f) be the third derivative of f**4/12 - 344*f**2 + 2. What is c(u(w))?
-68*w
Let l(d) = -14*d - 3*d + 10*d - 6*d. Let g(a) = -3*a. Let j(k) = 9*g(k) - 2*l(k). Let u(r) = 0 + 0 - 6*r. What is u(j(w))?
6*w
Let b(s) = -9*s. Let k(i) = 63*i. Let w(x) = 36*b(x) + 5*k(x). Let g(l) = 18*l. Calculate g(w(y)).
-162*y
Let p(s) = 5*s. Let t(y) = -22*y**2 - 13*y**2 - 3*y**2 + 72*y**2. Calculate p(t(w)).
170*w**2
Let f(n) = n. Let h(m) be the second derivative of 11*m**7/2520 - 9*m**4/4 + 21*m. Let p(t) be the third derivative of h(t). Determine p(f(r)).
11*r**2
Let b(z) = -z**2. Let n(k) = -k - 14. Let i be n(-16). Suppose -4*j = -3*c - 2, i*j - 2 = -c + 2*c. Let p(w) = 0*w**c + 14*w**2 - 7*w**2. Calculate p(b(y)).
7*y**4
Let o(i) = -24*i**2 + 2*i. Let p(t) = -2356*t. What is p(o(j))?
56544*j**2 - 4712*j
Let z(k) = -15*k - 8*k - 11*k + 20*k - 4*k. Let o(n) = -13*n**2. What is o(z(j))?
-4212*j**2
Let g(l) = -16*l**2 + 5*l - 4. Let w(i) = -49*i**2 + 18*i - 14. Let p(o) = -7*g(o) + 2*w(o). Let j(f) = 5*f. Calculate j(p(u)).
70*u**2 + 5*u
Let l(x) be the second derivative of x**5/60 - 7*x**3/3 - 17*x. Let s(q) be the second derivative of l(q). Let a(t) = -7*t. Give s(a(v)).
-14*v
Let n(f) = 32*f**2 - 24. Let l(a) = -13*a**2 + 10. Let d(g) = -12*l(g) - 5*n(g). Let z(o) = 14*o**2. Determine d(z(u)).
-784*u**4
Let i(u) = -9*u. Let f(m) = -6*m - 7822. Determine i(f(n)).
54*n + 70398
Let i(b) = 16*b. Let o(x) = -4*x**2 + 12. Let y(a) = -7*a**2 + 30. Let g(r) = 5*o(r) - 2*y(r). Give g(i(w)).
-1536*w**2
Let h(c) = -15*c. Let z be -3 + 1/((-4)/(-36)). Let b(o) = 10 + 1 - 3*o**2 + z*o**2 + 0. Let g(a) = a**2 + 4. Let f(j) = 4*b(j) - 11*g(j). Calculate h(f(s)).
-15*s
|
{
"pile_set_name": "DM Mathematics"
}
|
(z*(z*z*z/(z/(z*z**4)))/z)/((z/(z*z**(6/7)))/z*z)) assuming z is positive.
z**(134/7)
Simplify ((z*z**(-2)/z)/(z*(z/(z/(z/z**13)))/z))/((z*z**19)/z*z*z/((z/(z/(z/z**7*z)*z))/z*z)) assuming z is positive.
z**(-17)
Simplify ((h*h*h*h/(h/(h**(4/5)*h)))/h*h*h)/((h*h**1)/h)*(h**(-1/3))**(-49) assuming h is positive.
h**(317/15)
Simplify (p/p**(-3/13)*(p*p**30)/p*p*p)**(-20/3) assuming p is positive.
p**(-2880/13)
Simplify ((x**(3/4)*x*x)/x**4*(x**0)**(-2))**5 assuming x is positive.
x**(-25/4)
Simplify (g**(-7)/g*g**16)**42 assuming g is positive.
g**336
Simplify (((j/(j**(-3/4)/j))/j)/((j/(j*j**(-22)*j)*j)/j))/(j**(-17)/((j*(j/j**19*j)/j*j)/j)) assuming j is positive.
j**(-77/4)
Simplify (w**0*w*w**5)/(w**(-2))**45 assuming w is positive.
w**96
Simplify (k*k/(k**(-3)*k))**49*k**(-1/3)/(k*k**(2/5)) assuming k is positive.
k**(2914/15)
Simplify ((w/(((w*w**2)/w)/w))/((w/(w/(w*w**(-1/6))))/w))/(w**(-20))**44 assuming w is positive.
w**(5281/6)
Simplify (((k**(-3/4)*k)/k)/k*k*k**(-4)*k*(k**(-2/7)/k)/((k*(k/(k*k**7))/k*k)/k))**(1/4) assuming k is positive.
k**(55/112)
Simplify ((m/m**(-1/14)*m**(-3))/(m/(m/(m/(m/((m*m**(2/7))/m))))*m)**(-2))**(11/4) assuming m is positive.
m**(99/56)
Simplify (a*a/(a*a**(-1/7)*a))/(a*(a/((a*a**10)/a))/a)*(a**3)**(-5) assuming a is positive.
a**(-41/7)
Simplify (((y**1)**(-29/3))**(3/13))**(-1/7) assuming y is positive.
y**(29/91)
Simplify ((m/m**(-1/12))/m*m**(-3/2))/(m**(-2/7))**43 assuming m is positive.
m**(913/84)
Simplify (((s*s**(-7))/s)/(s/(s*s**(-1/6)*s)))/(s**(-1))**(-16) assuming s is positive.
s**(-133/6)
Simplify ((d**(2/31)/d)**(3/7))**(-4) assuming d is positive.
d**(348/217)
Simplify (o*o**(-1/2))/(o/(o*o/(o**(2/19)/o)))*(o/(o/((o/(o**(3/4)*o))/o))*o)/(((o/o**(-4/13))/o)/o*o) assuming o is positive.
o**(1321/988)
Simplify ((b**(2/47)/(b/(b**12/b)*b))**(1/22))**(-2/11) assuming b is positive.
b**(-425/5687)
Simplify (i**(-3/26)*i)/i*i*i**13*i*i**5*i/i**(-1/6) assuming i is positive.
i**(821/39)
Simplify (((((t/(t/(t*t**(-6/7))))/t)/t*t)/t)/t**(2/11))/(t**9/(t*t**(-4/5)*t)) assuming t is positive.
t**(-3788/385)
Simplify (w/w**(-7/2))/w**7*(w/w**3)**(1/9) assuming w is positive.
w**(-49/18)
Simplify o**(-1)/(o**(-12/7)*o)*(o/(o**(-8/5)*o))**9 assuming o is positive.
o**(494/35)
Simplify (t/(t*t**(-1/4))*t**(-4/3)/t)/((t**(-4/3)*t)/(t*(t**7/t*t)/t)) assuming t is positive.
t**(21/4)
Simplify (l**(-3/4))**45*(l/(l*l/(l**(5/4)*l)))**(-5) assuming l is positive.
l**(-40)
Simplify (((f/f**7)/f*f*f*(f**(2/3)*f)/f)/(f**(2/5))**(-1/11))**(25/3) assuming f is positive.
f**(-3545/99)
Simplify (h**(2/5))**(24/7)/((h*h**10)/h**(-8/3)) assuming h is positive.
h**(-1291/105)
Simplify (w/(w**(1/4)/w))**(-8)/((w*w**(-9))/w*w*w*w**(-21)) assuming w is positive.
w**14
Simplify (r*r/((r*(r**4/r)/r)/r)*r*r**(-1/15))/(r**(-5)/((r**(-12)/r)/r)) assuming r is positive.
r**(-121/15)
Simplify (y*y**(-19/3)*y*(y*y/(y*y/y**(-20/9))*y)/y)/(y**(2/51)*y*y**(2/23)) assuming y is positive.
y**(-27032/3519)
Simplify (g**(-2/23)/(g**5*g))/(g**(5/3)*g*g*g**1*g) assuming g is positive.
g**(-811/69)
Simplify ((k/k**(-1/38)*k)/(k*(k/(k*k**21*k))/k))**(-6/11) assuming k is positive.
k**(-249/19)
Simplify (v*v**(-2/29))/v**(-13)*(v*(v*v/((v/(v*v/v**(-1))*v)/v)*v)/v*v)**(1/23) assuming v is positive.
v**(9466/667)
Simplify (k**(-5))**(-35)*k**(2/9)/(k*k/k**(-5/3)) assuming k is positive.
k**(1544/9)
Simplify (w*w*w**(-5)*w*w*(w*w**(5/6)*w)/w*w)/(w**(-14)*w/(w*w*w/(w*w**23))) assuming w is positive.
w**(-37/6)
Simplify (p**4/p*p**(-5/3))**(1/57) assuming p is positive.
p**(4/171)
Simplify (((x/(x*x/((x/x**(-2/15))/x)))/(x/(x/x**(-1))))/(x**2)**(-1/4))**(2/43) assuming x is positive.
x**(19/645)
Simplify (v**(3/5))**40/(v**21*v*v*v/(v*v/(v/(v*v*v/v**(-5/2))*v))) assuming v is positive.
v**(11/2)
Simplify (c/(c*c**(3/5)))**39/(c**(-7)*c*c*c**(-8)) assuming c is positive.
c**(-52/5)
Simplify (q*q*q**(-1/5)*q)**(11/6)/(q**(-1/29)*q/q**(-6/7)) assuming q is positive.
q**(10081/3045)
Simplify (o*o/(o**(-6/5)/o*o*o)*o*o)/o**(-7)*(o/o**(5/4))/o**17 assuming o is positive.
o**(-121/20)
Simplify ((f**(-5)*f)/f)**3*(f*f**(-21))/(f/(f/(f/(f*f*f/(((f**(2/7)/f)/f)/f)*f*f*f)))) assuming f is positive.
f**(-191/7)
Simplify ((y*y**(8/7)/y)/y*y**(1/25)*y*y)/(y**10/y*y**(-7/4)) assuming y is positive.
y**(-3547/700)
Simplify a**4*a*a/(a*(a/a**(-6/7))/a*a)*a*a*a*a*a**(3/2)*a*a*a*a*
|
{
"pile_set_name": "DM Mathematics"
}
|
6). Let u be 4/(0/3 + i). Let p(c) = c + 3 - u - 1. Determine h(p(v)).
4*v
Let f(j) = -j**2. Let b(d) = 2*d**2 - 6*d. Let l(w) = 3*w. Let q(i) = -2*i. Let k(h) = 3*l(h) + 4*q(h). Let t(u) = -b(u) - 6*k(u). Determine f(t(g)).
-4*g**4
Let i(c) be the third derivative of c**5/4 - 4*c**2. Let b(z) = 2*z. Calculate b(i(a)).
30*a**2
Let y(v) = 4*v**2 + 6*v + 6. Let i(r) = -5*r**2 - 7*r - 7. Let m(n) = -6*i(n) - 7*y(n). Let w(u) = -u - 1 + 1. What is m(w(c))?
2*c**2
Let y(k) = 9*k**2 - 7*k**2 - k**2. Let r(i) = 12*i**2. Give r(y(q)).
12*q**4
Let c(d) = 10*d + 3. Let r(x) = x + 12. Let w be r(-9). Let o(t) = 11*t + 4. Let n(z) = w*o(z) - 4*c(z). Let i(b) = b. Calculate n(i(p)).
-7*p
Let w(t) = -8*t**2. Let k(g) = g. Let l(y) = -y**2 + y. Let x(s) = 4*k(s) - 4*l(s). Calculate x(w(p)).
256*p**4
Let d(b) be the second derivative of -b**4/4 + 2*b. Let q = 1 + 1. Let r(f) = q*f - f + 3*f - 2*f. What is r(d(z))?
-6*z**2
Let k(i) = 2*i**2. Let j(l) = 2*l**2 + l**2 - 6*l**2 + 6*l**2. Determine j(k(d)).
12*d**4
Let y(p) = -8*p - 3*p + 17*p - 5*p. Let w(g) = g. What is w(y(r))?
r
Let o(f) = -59*f. Let n(c) = -9*c. What is o(n(b))?
531*b
Let r(x) = x**2. Let g(d) = 3*d - 12. Determine g(r(s)).
3*s**2 - 12
Let b(w) = -7*w. Let i(j) = -3*j + 70. What is b(i(g))?
21*g - 490
Let j(x) = x**3 + 18*x**2 + 17*x + 2. Let m be j(-17). Let p(c) = -m*c - 4*c + c + c. Let u(k) = 2*k. What is u(p(v))?
-8*v
Let t(x) = 3*x. Let d(g) = -22*g**2 - 5. Calculate t(d(j)).
-66*j**2 - 15
Let z(v) = -2*v**2. Let u(l) = -10*l. Determine u(z(r)).
20*r**2
Let z(a) = 2*a. Let v(q) = 2*q**2 + 2*q**2 - 2*q**2. Give z(v(i)).
4*i**2
Let k(a) be the second derivative of 5*a**3/3 - 10*a. Let c(s) = 3*s**2. Calculate k(c(n)).
30*n**2
Let c(t) = t**2. Let n(o) be the third derivative of 17*o**5/120 - 7*o**3/6 + 3*o**2. Let f(r) be the first derivative of n(r). What is c(f(l))?
289*l**2
Let v(h) = 3. Let q(o) = o - 5. Let n(m) = -3*q(m) - 5*v(m). Let j(f) = -6*f. Let x(a) = -5*j(a) + 9*n(a). Let w(k) = -2*k. What is x(w(u))?
-6*u
Let f(l) = -3*l. Let a(w) be the second derivative of -w**6/180 + w**3/6 + 2*w. Let d(b) be the second derivative of a(b). Determine d(f(u)).
-18*u**2
Let w(t) = -4*t**2 + 5*t - 5*t + 2*t**2. Let y(f) = -f**3 - 4*f**2 - 4*f + 1. Let v be y(-3). Let m(l) = l**2 - v*l**2 + 4*l**2. Determine w(m(k)).
-2*k**4
Let c(q) = q. Let j = -21 - -33. Suppose 3*r + 0 = j. Let p(d) = 0*d - 6*d + r*d. Give c(p(w)).
-2*w
Let d(o) = -13*o. Let h(t) = -22*t. Determine d(h(u)).
286*u
Let f(q) = q**2. Let g(i) be the second derivative of 5*i**4/4 + 15*i. Give f(g(c)).
225*c**4
Let i(g) = -g. Let r(o) = -4 - 26*o + 3 + 1. What is r(i(l))?
26*l
Let x(z) = -149*z**2. Let g(f) = -6*f. Calculate x(g(m)).
-5364*m**2
Let a(v) = 6*v + 4. Let p(l) = -7*l - 5. Let m(d) = -5*a(d) - 4*p(d). Let f(z) = 3*z. What is f(m(k))?
-6*k
Let s(v) = 883*v**2. Let c(y) = -y**2. What is s(c(z))?
883*z**4
Let t(o) = 0*o + 4*o - 4*o + 3*o**2. Let k(q) = -5*q. What is t(k(z))?
75*z**2
Let x(o) = 2*o. Let r(h) = -5*h - 2. Let y(v) = 66*v + 27. Let f(u) = -27*r(u) - 2*y(u). Give x(f(i)).
6*i
Let y(s) = 2*s. Suppose 5*d - 11 + 1 = 0. Let b(l) = -5*l - 2*l**d + 5*l + 0*l. Determine b(y(f)).
-8*f**2
Let r(l) = -5*l**2 + 32*l - 32*l + 3*l**2. Let d(w) = -3*w. Determine d(r(b)).
6*b**2
Let a(j) = 20*j + 7. Let i(b) = -9*b. Determine a(i(t)).
-180*t + 7
Let x(g) = 4*g**2 + 411. Let h(s) = -4*s**2. Determine x(h(b)).
64*b**4 + 411
Let l(r) = -2*r. Let g(f) = -f - 680. Give g(l(v)).
2*v - 680
Let a(i) be the first derivative of -4*i**2 + 0*i**2 + 3 + 3*i**2. Let d(r) = 6*r**2. Calculate a(d(h)).
-12*h**2
Let t be 15*-2
|
{
"pile_set_name": "DM Mathematics"
}
|
4*o**3 - 3*o**3).
-8*o**4
Expand ((-5*t**2 + 0*t**2 + 0*t**2)*(-2 + 6 - 2) + 3*t**2 - 3*t**2 + 2*t**2)*(0*t - 4*t + 5*t).
-8*t**3
Expand (2*p**5 - 2*p**4 + 2*p**4)*(-2 - 3 - 6) + p**5 + p**5 - 1 + 3.
-20*p**5 + 2
Expand -2*k - 4 + 4 + (-1 + 4 - 5)*(-1 + 1 - 2*k) - 2 - 3*k + 2.
-k
Expand (0*p**2 - 3*p**2 + p**2)*(0*p - 6*p + p)*(2*p - 4*p - 3*p).
-50*p**4
Expand d - d - d**5 + 0*d**5 + 0*d**5 + 5*d**5 + (3*d**4 - d**4 - d**4)*(d - 4*d + 2*d) + 0*d**5 + d**5 + d**5.
5*d**5
Expand -2*v**3 - 3 + 3 - 5*v + 0 + 0 + 2*v**3 + (-4*v + v + v)*(-v**2 + 2*v**2 - 3*v**2) + 4*v**3 + 0*v**3 - 2*v**3.
6*v**3 - 5*v
Expand (11 + 10 - 20 - 16*r)*(-2 + 3 + 3)*(5 - 2 - 4).
64*r - 4
Expand (0 + 0 + k)*(1 + 4 - 8).
-3*k
Expand (3*f**4 - 2*f**4 - 2*f**4 + (2*f**2 + f**4 - 2*f**2)*(1 - 3 + 0))*(-f + 6*f - f).
-12*f**5
Expand (-3 + 4 + 1)*(1 + 2*n**4 - 1) - 287*n**3 + 35*n**4 + 287*n**3.
39*n**4
Expand (-10*t**2 - 2*t**2 + t**2)*(3*t**3 + 8*t**3 - 2*t**3).
-99*t**5
Expand 2 - 5*y - y + 5*y + (2*y - 3*y + 0*y)*(-1 - 2 + 4) + 3*y + 0*y - y - 3*y + y + 3*y.
y + 2
Expand -2*j + j + 2*j + (0 + 1 - 2)*(-j + 2*j - 3*j) - 2*j + j + 3*j + 0*j + 0*j - 3*j.
2*j
Expand (l + l + 0*l)*(13 + 18*l + 24*l - 45*l).
-6*l**2 + 26*l
Expand h + 0 + 0 - 2*h + 0 + 0 - 2*h - 3*h + 4*h + (-1 + 3 + 0)*(-3 + 3 + 2*h) - 7*h - 36*h + 19*h.
-22*h
Expand (-68*p**3 + 68*p**3 + 5*p**5)*(4 - 4 + 1).
5*p**5
Expand (0 - 1 + 2)*(1 - 3 - 4)*(1 + 0 - 2)*(-4*d**5 + 2*d**5 + 0*d**5).
-12*d**5
Expand -3*u**2 - 1 + 1 + u - u - 2*u**2 + (4*u - 4*u - u)*(-2*u + 3*u + u) + u**2 + u**2 - u**2.
-6*u**2
Expand (0*v**4 + 5*v**4 - 3*v**4)*(0 - 3 + 0).
-6*v**4
Expand (-3*l - 4*l - 5*l)*(0 - 4 + 3).
12*l
Expand 3*t + 10*t + 3*t + 5*t - 3*t - 3*t + t + t + 0*t - t - 3*t + 5*t - 3 + 3 + 2*t + (-2*t + 5*t - t)*(-1 + 1 + 1) + 0*t - 5*t + 4*t.
21*t
Expand (0*a**2 + a**2 + 2*a**2)*(4*a - 4*a + 2*a**2).
6*a**4
Expand (19*x**3 + 3*x**4 - 2*x + 16*x**3 - 31*x**3)*(-3 + 0 + 2).
-3*x**4 - 4*x**3 + 2*x
Expand (3*d + 3*d - 2*d)*(2*d + 2 - d - 4*d).
-12*d**2 + 8*d
Expand (3*p - 5*p**2 - 3*p)*(1 - 1 + 3*p).
-15*p**3
Expand (-b + 0*b + 2*b)*(12 - 44 - 21 + (3 - 4 + 2)*(-1 - 1 + 1) - 1 + 4 - 1).
-52*b
Expand (3*f + 2*f - 4*f)*(2*f**2 - 22*f**3 - 2*f**2).
-22*f**4
Expand (6*s + 2 - 4*s + s)*(4 - 4*s**3 - 4).
-12*s**4 - 8*s**3
Expand (-3 + 3 - c)*(1 - 2 + 2) - 4*c - 5*c + c.
-9*c
Expand (1 + 14*t**2 - 1)*((-3*t + 2*t + 2*t)*(3 - 1 - 3) - 3*t + 4*t - 3*t).
-42*t**3
Expand (-x + 2*x - 2*x)*(-2 + 6 - 2 + (-4 + 1 + 2)*(-5 + 3 - 1) - 3 + 3 - 1).
-4*x
Expand (o**2 - 2*o**2 + 0*o**2)*(3*o + 0*o - 5*o) + 67*o - 67*o + 14*o**3.
16*o**3
Expand (-h**2 - 2*h**2 + 5*h**2)*(3*h**2 - h**2 + 2*h**2) + (-h**2 + 2*h**2 - 2*h**2)*(4*h**2 + 0*h**2 - 2*h**2) - 2*h**4 - 3*h**4 + 4*h**4.
5*h**4
Expand (-4 + 4 - 2)*(4*j - j - j) - 4*j + 0*j + 3*j + (j - 2*j + 0*j)*(0 - 3 + 4).
-6*j
Expand (-2 - 4 - 1)*(-4 + w + 4)*(w**2 + 3 - 3).
-7*w**3
Expand (3*b + 0*b - 6*b)*(2*b + 5*b - 5*b)*(3*b**2 + 4 - 4).
-18*b**4
Expand 2*p**2 - p**4 + p**3 - 2*p**2 + (-3*p - 2*p + 3*p)*(-9*p**3 + 7*p**3 + 5*p**3) - 4*p**4 + 2*p**4 + 3*p**4.
-6*p**4 + p**3
Expand (15 + 5*h**3 + 17 - 33)*(2 - 2 + h)*(-h + 1 - 1).
-5*h**5 + h**2
Expand (-2*t**3 + 0*t**3 + t**3)*(0 + 0 + 3*t) + (-2*t + 2*t + t)*(4*t**3 - 4*t**3 + 2*t**3).
-t**4
Expand (5*x + 4*x - x)*(-3 - 2*x + 2 + 2).
-16*x**2 + 8*x
Expand (-4*t + 3*t + 3*t + (-1 + 2*t + 1)*(3 + 3 - 4))*(8*t - t + 7*t) + (-t + 3 - 3)*(3*t + 2*t - 7*t) - t**2 + 7*t**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
or 0 - 1/3*r - 1/6*r**2.
-r*(r + 2)/6
What is b in -73*b - 35*b + 22*b**2 + 12 + 87*b**2 + 134*b**2 = 0?
2/9
Let y be 596/(-880) + (-3)/(-4). Let l = 232/165 - y. Factor -14/3*b**2 + l - 10/3*b.
-2*(b + 1)*(7*b - 2)/3
Suppose -12/7 + 24/7*d + 3/7*d**3 - 15/7*d**2 = 0. What is d?
1, 2
Suppose -20 + 2 = -3*c. Let k be 14/c - 9/27. Factor 2/7*t**k + 0 + 4/7*t.
2*t*(t + 2)/7
Let n be (-3)/2 + (-33)/(-22). Suppose 4*h**3 - h + 4 - 5*h + n*h - 6*h**2 + 0*h = 0. Calculate h.
-1, 1/2, 2
Let s(b) be the second derivative of -b**7/11340 - b**6/1620 - b**5/540 - b**4/12 - 2*b. Let x(q) be the third derivative of s(q). Let x(g) = 0. What is g?
-1
Let v(f) be the third derivative of -f**11/831600 + f**9/75600 - f**7/12600 + f**5/30 + 2*f**2. Let w(c) be the third derivative of v(c). Solve w(x) = 0.
-1, 0, 1
Let x(h) = -h - 4. Let j be x(-9). Suppose -j*d = -4*d. Let d*n**3 - 1/2*n**4 + 1/2*n**2 + 0 + 0*n = 0. Calculate n.
-1, 0, 1
Let w(v) be the third derivative of 5*v**8/336 - v**7/14 + v**6/24 + v**5/4 - 5*v**4/12 - 24*v**2. Find c, given that w(c) = 0.
-1, 0, 1, 2
Determine c, given that -2*c + 69*c**5 + 5*c**2 - 3*c**3 - 36*c**5 - c**4 - 32*c**5 = 0.
-2, 0, 1
Let z(a) = 2*a**2 - 2*a + 1. Let w be z(2). Find n such that 0*n**w + 8*n**2 + n**5 - 6*n**4 + n**5 = 0.
-1, 0, 2
Let a(y) = y**4 + y**3 + y - 1. Let z(j) = -3*j + 6*j**3 + 4*j**4 - j**2 - 3 - 2*j + j + 0*j. Let c(n) = a(n) - z(n). Determine k, given that c(k) = 0.
-1, -2/3, 1
Let -6/7*v + 3*v**3 + 9/7*v**4 - 15/7*v**5 + 0 - 9/7*v**2 = 0. What is v?
-1, -2/5, 0, 1
Let q(l) = l**5 + l**3 - l**2. Let v(x) = -10*x**5 - 4*x**4 + 2*x**3 + 14*x**2 - 4*x - 4. Let c(z) = -6*q(z) - v(z). Factor c(j).
4*(j - 1)**2*(j + 1)**3
Factor -4/5*b**3 + 0 + 2/5*b**4 + 3/5*b - 2/5*b**2 + 1/5*b**5.
b*(b - 1)**2*(b + 1)*(b + 3)/5
Let i(u) be the second derivative of 0*u**6 + 0*u**4 - 2*u - 1/42*u**7 - 1/6*u**3 + 1/10*u**5 + 0*u**2 + 0. Factor i(h).
-h*(h - 1)**2*(h + 1)**2
Let y(i) be the third derivative of i**7/105 - i**6/15 - 11*i**5/30 - i**4/2 + 12*i**2 + i. Factor y(a).
2*a*(a - 6)*(a + 1)**2
Factor -2/7*l**5 + 4/7*l**3 + 0*l**2 + 0*l**4 - 2/7*l + 0.
-2*l*(l - 1)**2*(l + 1)**2/7
Factor -9*a + 6 + 9 + 11*a**2 + 29*a - 6*a**2.
5*(a + 1)*(a + 3)
Factor -4*o**4 - 9 + 12*o**2 - 4*o**3 + 4*o + 2 - 1.
-4*(o - 1)**2*(o + 1)*(o + 2)
Suppose -18/5*i - 3/5*i**2 - 27/5 = 0. Calculate i.
-3
Factor 14*s**2 + 7*s - 2*s**4 - 37*s + 18*s.
-2*s*(s - 2)*(s - 1)*(s + 3)
Let r(a) be the third derivative of a**5/210 + a**4/84 - 2*a**3/21 - 5*a**2. Factor r(v).
2*(v - 1)*(v + 2)/7
Let f be 5/2 - 3/6. Suppose -2*m + 3*z + 5 = -0*m, -2*z = -3*m + 5. Factor g + 1/4*g**f + m.
(g + 2)**2/4
Let k(n) = n**2 + 1. Let j(b) = -b**2 - 8*b + 3. Let v(g) = j(g) + 3*k(g). Factor v(m).
2*(m - 3)*(m - 1)
Let s(f) be the second derivative of -3*f**5/20 + f**4/4 + 2*f**3 - 6*f**2 - 9*f. Factor s(l).
-3*(l - 2)*(l - 1)*(l + 2)
Let d be 5/4*(-7 + 11). Let x(g) be the first derivative of 1 + 0*g - 2/27*g**3 + 1/9*g**4 - 2/45*g**d + 0*g**2. Factor x(p).
-2*p**2*(p - 1)**2/9
Factor 3/5*w**2 - 6/5 - 3/5*w.
3*(w - 2)*(w + 1)/5
Let s be (-20 + 16)*(-2)/4. Let r = -3 - -6. Solve 3*q**s + q**3 - r + 3 - 4*q**2 = 0.
0, 1
Let v(q) be the third derivative of 1/270*q**5 + 0*q - 1/108*q**4 + 0 - 3*q**2 - 2/27*q**3. Factor v(k).
2*(k - 2)*(k + 1)/9
Let c(t) = -2*t + 11. Let z be c(5). Let h(v) be the first derivative of -1/2*v**2 - 2*v - z + 1/3*v**3. Suppose h(n) = 0. What is n?
-1, 2
Let x(i) be the third derivative of -i**7/30 + i**6/24 + 4*i**5/15 + i**4/6 + 29*i**2. Factor x(p).
-p*(p - 2)*(p + 1)*(7*p + 2)
Let d be 0/1*1/(-2). Suppose 2*h = -2*h + 3*o + 17, -4*h - 2*o + 22 = d. Factor 2/7*z**3 - 4/7*z**4 + 0 + 2/7*z**h + 0*z**2 + 0*z.
2*z**3*(z - 1)**2/7
Factor 0*b**2
|
{
"pile_set_name": "DM Mathematics"
}
|
3174, 4269, 5364?
1095*q - 111
What is the t'th term of 10, 49, 92, 145, 214?
t**3 - 4*t**2 + 44*t - 31
What is the q'th term of 30292, 60554, 90820, 121090?
2*q**2 + 30256*q + 34
What is the n'th term of -361, -395, -439, -499, -581, -691, -835, -1019?
-n**3 + n**2 - 30*n - 331
What is the c'th term of 126, 302, 478, 654, 830, 1006?
176*c - 50
What is the n'th term of -900, -846, -792, -738, -684?
54*n - 954
What is the b'th term of 112406, 112386, 112368, 112352, 112338, 112326?
b**2 - 23*b + 112428
What is the l'th term of 230, 283, 336?
53*l + 177
What is the n'th term of -1022, -3241, -6936, -12101, -18730, -26817, -36356?
n**3 - 744*n**2 + 6*n - 285
What is the w'th term of -1384, -1304, -1260, -1270, -1352, -1524, -1804, -2210?
-3*w**3 + 101*w - 1482
What is the q'th term of -78578, -157160, -235742?
-78582*q + 4
What is the r'th term of -341, -370, -399?
-29*r - 312
What is the i'th term of 13334, 13332, 13330?
-2*i + 13336
What is the l'th term of -271, -598, -985, -1438, -1963, -2566?
-l**3 - 24*l**2 - 248*l + 2
What is the j'th term of 22871, 22868, 22867, 22868, 22871, 22876, 22883?
j**2 - 6*j + 22876
What is the h'th term of -3515994, -3515996, -3515998?
-2*h - 3515992
What is the u'th term of 146, 284, 438, 632, 890, 1236, 1694, 2288?
4*u**3 - 16*u**2 + 158*u
What is the t'th term of -2382, -2388, -2398, -2412, -2430, -2452?
-2*t**2 - 2380
What is the g'th term of -14942, -14936, -14930?
6*g - 14948
What is the m'th term of 371, 384, 407, 446, 507, 596, 719, 882?
m**3 - m**2 + 9*m + 362
What is the m'th term of 3631, 14537, 32713, 58159?
3635*m**2 + m - 5
What is the o'th term of -63560, -63566, -63576, -63590, -63608, -63630, -63656?
-2*o**2 - 63558
What is the z'th term of -124, -222, -332, -460, -612?
-z**3 - 91*z - 32
What is the w'th term of -1908, -1899, -1890, -1881, -1872, -1863?
9*w - 1917
What is the y'th term of -2177, -3261, -4335, -5393, -6429, -7437, -8411?
y**3 - y**2 - 1088*y - 1089
What is the b'th term of 18574, 18576, 18578, 18580, 18582, 18584?
2*b + 18572
What is the c'th term of 153875, 153887, 153897, 153905, 153911, 153915, 153917?
-c**2 + 15*c + 153861
What is the u'th term of 608389, 608390, 608391, 608392, 608393?
u + 608388
What is the v'th term of -12579, -25135, -37675, -50193, -62683, -75139, -87555, -99925?
v**3 + 2*v**2 - 12569*v - 13
What is the v'th term of -6336, -12676, -19012, -25344, -31672, -37996?
2*v**2 - 6346*v + 8
What is the k'th term of -97, -198, -301, -406, -513, -622?
-k**2 - 98*k + 2
What is the j'th term of -573, -1219, -1863, -2505, -3145, -3783?
j**2 - 649*j + 75
What is the p'th term of -262, -361, -460, -559, -658, -757?
-99*p - 163
What is the g'th term of -981, -1866, -2751, -3636?
-885*g - 96
What is the k'th term of -7668, -7736, -7804, -7872?
-68*k - 7600
What is the m'th term of -19293, -19382, -19627, -20106, -20897, -22078, -23727, -25922?
-13*m**3 + 2*m - 19282
What is the t'th term of 1158164, 2316326, 3474488, 4632650, 5790812?
1158162*t + 2
What is the p'th term of -335, -2044, -6683, -15716, -30607, -52820, -83819?
-244*p**3 - p**2 + 2*p - 92
What is the a'th term of 1673, 3174, 4675, 6176?
1501*a + 172
What is the i'th term of -685, -728, -761, -778, -773, -740, -673, -566?
i**3 - i**2 - 47*i - 638
What is the x'th term of -45559, -45557, -45555, -45553, -45551, -45549?
2*x - 45561
What is the x'th term of 83668, 83677, 83686, 83695, 83704, 83713?
9*x + 83659
What is the i'th term of 1675, 13409, 45241, 107221, 209399, 361825?
1675*i**3 - i**2 + 12*i - 11
What is the p'th term of 28698, 57363, 86014, 114645, 143250, 171823, 200358?
-p**3 - p**2 + 28675*p + 25
What is the c'th term of 4857, 9717, 14579, 19443, 24309, 29177, 34047?
c**2 + 4857*c - 1
What is the m'th term of 12699, 25396, 38093, 50790, 63487?
12697*m + 2
What is the k'th term of 331563, 663126, 994689?
331563*k
What is the l'th term of -4154, -8268, -12364, -16436, -20478?
l**3 + 3*l**2 - 4130*l - 28
What is the r'th term of -410696, -410699, -410702, -410705, -410708?
-3*r - 410693
What is the n'th term of 26, 335, 1180, 2831, 5558?
45*n**3 - 2*n**2 - 17
What is the a'th term of 441, 867, 1291, 1713, 2133, 2551, 2967?
-a**2 + 429*a + 13
What is the i'th term of 6, 75, 206, 423, 750?
4*i**3 + 7*i**2 + 20*i - 25
What is the m'th term of -796, -6528, -22090, -
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{
"pile_set_name": "DM Mathematics"
}
|
*s, 5*v = 3*s + 56. Let b(g) = 7*g - 12. What are the prime factors of b(v)?
2, 29
Let a(p) be the first derivative of -p**3/3 + 5*p**2/2 + 13*p - 2. Suppose -2*z = -3*h + 2*z + 6, 3*h - 21 = -z. List the prime factors of a(h).
7
Suppose -6*y = -w + 2993, -7013 - 5039 = -4*w + 4*y. What are the prime factors of w?
7, 431
Let v = -556 - -1204. List the prime factors of v.
2, 3
Let g = 74 - 70. Suppose 0 = -g*c - 0*c + 228. What are the prime factors of c?
3, 19
Let l = -203 + 105. Let f = l + 291. What are the prime factors of f?
193
List the prime factors of ((0 - 1) + 12 + 98)*1.
109
Suppose -4*u + 1220 + 2800 = 0. What are the prime factors of u?
3, 5, 67
List the prime factors of (42/105)/((-5)/((-198525)/6)).
2647
Suppose 4*r - 31*r = -21060. What are the prime factors of r?
2, 3, 5, 13
Let q = 16 + -51. Let w be 1*((-6 - -5) + -13). Let m = w - q. List the prime factors of m.
3, 7
Let b(h) = 13*h**2 - 19*h - 580. What are the prime factors of b(-19)?
2, 2237
Let g be ((-4)/(-5))/(14/35). Suppose 0 = -g*y + i + 97, i + 103 = 2*y + 2*i. List the prime factors of y.
2, 5
Let t(r) = r**2 - 8*r - 16. Let p be t(10). Let i(k) = 69*k - 19. List the prime factors of i(p).
257
Suppose -2*f + 5*q = 9, 15*f - 10*f - 3*q = -13. Let j(r) = 6*r + 2. Let p(d) = -d - 1. Let o(y) = -j(y) + 3*p(y). What are the prime factors of o(f)?
13
Suppose 3*j + 3 = 3*l, 2*j + 3*l - 7 = 11. Suppose k - j*y - 19 - 24 = 0, y + 4 = 0. Let a = k + -16. What are the prime factors of a?
3, 5
Let l(q) = 50*q - 4. Let d be l(2). Suppose -4*g + d = -148. List the prime factors of g.
61
List the prime factors of (-7 - -17 - -3577) + -4.
3583
Let m(z) = 99*z**2 - 119*z + 567. What are the prime factors of m(5)?
2447
Let s be (-10)/4*-2 + -1. Suppose -2*t - 2*g = -516, 0*t + s*t - 1056 = 2*g. What are the prime factors of t?
2, 131
Let d be (-3 - 0/(-3)) + 57. Let f = 109 - d. List the prime factors of f.
5, 11
Suppose -1975 = -4*b + l, 2*l = -4*b + 173 + 1817. Suppose z - b = -4*z. List the prime factors of z.
3, 11
Suppose -j = 4, 10 + 19 = -z - 5*j. List the prime factors of (-1118)/(-4) - (z/2)/9.
2, 5, 7
Let f be 1/((-14)/(-35) + (-573)/1445). Suppose 6*d - 5 - f = 0. What are the prime factors of d?
7
Suppose 2 + 4 = 3*l. Suppose 2*n + l*m = 76, -n - 40 = -2*n + m. Let a = 68 - n. List the prime factors of a.
29
Let q(n) = 5*n**2 + 10*n - 4. What are the prime factors of q(-12)?
2, 149
Suppose -19 + 4 = 3*o, -k - o = -13. Let v = k + -15. Suppose -15 = -v*t, 0*g - 3*t = -2*g + 79. List the prime factors of g.
47
Let f(s) = -9*s + 33. Let q(i) = 4*i - 16. Let u(k) = -3*f(k) - 7*q(k). Let l be u(11). Suppose l*v = -3*v + 210. List the prime factors of v.
2, 3, 7
Suppose -3*j + 135 = 36. Suppose -5 + j = 4*t. Suppose -y = -3*n + t, -3*y - y = -n - 27. List the prime factors of y.
2
Let o(i) = 205*i - 725. What are the prime factors of o(31)?
2, 5, 563
Let x = 11991 + -8243. What are the prime factors of x?
2, 937
Let p(y) = 24*y**2 - 15*y + 39. List the prime factors of p(7).
2, 3, 5, 37
Let i be -8 + 10 + 70/2. Let v = 57 - i. What are the prime factors of 7/(-21) + v/6?
3
Let p(u) = u**3 - 21*u**2 + 96*u - 31. What are the prime factors of p(24)?
4001
Suppose -2*m - l + 34 = 4*l, 2*m + 2*l = 28. Suppose -2*w + 5*w - c = 3, 4*w + m = -4*c. Suppose w*q = 2*q - 36. What are the prime factors of q?
2, 3
Let m = 24 + -23. Let g be (-2 - -2)/m - 2. List the prime factors of (-11)/g*16/4.
2, 11
Suppose -281 = -12*j + 11*j. Let w = j - 136. List the prime factors of w.
5, 29
Let r = -24 + 19. Let o(b) = b**3 + 12*b**2 + 3*b + 4. List the prime factors of o(r).
2, 41
Let k = 664 - -2055. List the prime factors of k.
2719
Suppose -2*a + 51 = -2*s - 3*a, 5*s = -3*a - 127. What are the prime factors of 138/(-4)*s/39?
23
Let j(l) = l**2 - 2*l + 3. Let t be j(3). Suppose -t*y = -y - 15. Suppose -a = f - 5*f - 7, -3*a - y*f = -36. What are the prime factors of a?
11
Let r(q) = 3*q + 2. Let a be r(2). Let f be 5/(5/(-2)) + 18. Let i = f - a. What are the prime factors of i?
2
Let u(x) = 2*x**2 + 25*x - 19. Let q(r) = -r**2 - 12*r + 9. Let o(y) = 13*q(y) + 6*u(y). What are the prime factors of o(-6)?
3
Suppose -t - 4*o + 486 = -o, 2*o = -t + 483. What are the prime factors of t?
3, 53
Let i(m) = -m**2 + 33*m - 1. What are the prime factors of i(25)?
199
Let b be (-105)/(-14) - (-6)/(-4). Let p(v) = v**3 - 4*v**2 - 9*v + 1. Let c be p(b). Let m = -15 + c. List the prime factors of m.
2
Let x(r) = 5*r**2 - 6*r - 14. Let y be x(-5). Suppose 6*q - y = 219. List the prime factors of q.
2, 3, 5
Let r(d) = -250*d - 33. List the prime factors of r(-1).
7, 31
What are the prime factors of (-1)/(-4)*15231 +
|
{
"pile_set_name": "DM Mathematics"
}
|
re there in 13/4 of a year?
39
How many kilograms are there in 6/25 of a tonne?
240
What is 995.88 micrograms in grams?
0.00099588
What is 35.37615 weeks in nanoseconds?
21395495520000000
How many milligrams are there in 1/10 of a gram?
100
What is twenty-nine thirds of a hour in seconds?
34800
How many litres are there in 24497.26 millilitres?
24.49726
What is 12/25 of a milligram in micrograms?
480
What is 19/4 of a gram in milligrams?
4750
How many seconds are there in 9.594171 hours?
34539.0156
Convert 58.13006 centuries to months.
69756.072
How many nanometers are there in 777343.3 micrometers?
777343300
What is one quarter of a minute in seconds?
15
How many nanometers are there in 3/10 of a micrometer?
300
How many seconds are there in sixty-four thirds of a hour?
76800
How many centimeters are there in 4206.81 millimeters?
420.681
Convert 508.8691mm to kilometers.
0.0005088691
What is 17/6 of a year in months?
34
How many months are there in twenty-one eighths of a millennium?
31500
How many nanometers are there in three fifths of a micrometer?
600
What is seven halves of a litre in millilitres?
3500
What is 1.1990961 hours in days?
0.0499623375
How many millilitres are there in 5/4 of a litre?
1250
What is 34/5 of a tonne in kilograms?
6800
How many months are there in 2/75 of a millennium?
320
Convert 4.313628 micrograms to tonnes.
0.000000000004313628
How many nanograms are there in 7/2 of a microgram?
3500
How many millilitres are there in 7.84086 litres?
7840.86
How many days are there in 8/7 of a week?
8
What is 3/40 of a week in seconds?
45360
What is 7/2 of a tonne in kilograms?
3500
What is 670.4152ng in grams?
0.0000006704152
What is 53/4 of a litre in millilitres?
13250
What is 0.9681806 litres in millilitres?
968.1806
What is 3.424022 litres in millilitres?
3424.022
What is six fifths of a century in months?
1440
What is 2/15 of a decade in months?
16
What is 1/16 of a gram in micrograms?
62500
How many decades are there in 42/5 of a millennium?
840
How many meters are there in 18829.29nm?
0.00001882929
What is 55.92722 decades in centuries?
5.592722
What is seventeen halves of a litre in millilitres?
8500
What is 65/3 of a decade in months?
2600
What is 894952.5 seconds in minutes?
14915.875
How many decades are there in 535.9533 millennia?
53595.33
Convert 137912.9 millimeters to micrometers.
137912900
How many millilitres are there in 1/5 of a litre?
200
What is ten sevenths of a week in minutes?
14400
What is 49413.13 millimeters in centimeters?
4941.313
How many kilograms are there in eleven quarters of a tonne?
2750
What is one sixth of a millennium in months?
2000
What is 27/5 of a litre in millilitres?
5400
Convert 2.172362g to micrograms.
2172362
Convert 7.019058 microseconds to nanoseconds.
7019.058
How many seconds are there in one tenth of a hour?
360
How many millennia are there in 0.2034072 months?
0.0000169506
Convert 724551.9ns to seconds.
0.0007245519
What is 21/2 of a century in decades?
105
Convert 6.712485cm to kilometers.
0.00006712485
How many seconds are there in 46.64374 days?
4030019.136
What is 2/27 of a week in seconds?
44800
What is eighteen fifths of a litre in millilitres?
3600
How many centuries are there in fifty-two fifths of a millennium?
104
What is 3/10 of a litre in millilitres?
300
How many grams are there in 53/5 of a kilogram?
10600
What is 2/7 of a week in hours?
48
What is 46/5 of a meter in millimeters?
9200
How many micrometers are there in twenty-one fifths of a centimeter?
42000
What is one fifteenth of a minute in seconds?
4
What is 45/2 of a century in decades?
225
How many decades are there in 576.3323 years?
57.63323
What is 7/4 of a microgram in nanograms?
1750
What is fifteen sixteenths of a century in months?
1125
What is 0.1987499l in millilitres?
198.7499
How many litres are there in 0.5725448 millilitres?
0.0005725448
How many minutes are there in 7/16 of a week?
4410
How many millilitres are there in 0.4160573 litres?
416.0573
What is 26/5 of a gram in milligrams?
5200
What is 32/5 of a kilogram in grams?
6400
What is three fifths of a litre in millilitres?
600
How many litres are there in 8.019592ml?
0.008019592
Convert 91.94846 kilometers to millimeters.
91948460
How many centimeters are there in 41514.2 nanometers?
0.00415142
How many milliseconds are there in five eighths of a minute?
37500
How many kilometers are there in 354.4493 meters?
0.3544493
How many micrograms are there in 5/4 of a milligram?
1250
How many seconds are there in eleven tenths of a minute?
66
How many decades are there in 5/4 of a millennium?
125
Convert 7.234513kg to grams.
7234.513
What is 1/18 of a week in minutes?
560
What is seven thirds of a decade in months?
280
How many nanometers are there in 3/8 of a micrometer?
375
How many nanoseconds are there in 41/2 of a microsecond?
20500
What is 6923.612 centuries in decades?
69236.12
What is 185.0744 meters in micrometers?
185074400
Convert 102.4726m to micrometers.
102472600
Convert 4.570407 millennia to months.
54844.884
How many kilograms are there in 122.7011t?
122701.1
What is two fifteenths of a century in months?
160
How many minutes are there in one sixth of a day?
240
What is 574473.3 nanograms in micrograms?
574.4733
How many millilitres are there in seven quarters of a litre?
1750
How many months are there in 2/15 of a decade?
16
How many micrograms are there in 3/8 of a milligram?
375
Convert 0.2730648 weeks to microseconds.
165149591040
How many millilitres are there in six fifths of a litre?
1200
What is 3/32 of a millennium in months?
1125
What is 11/4 of a day in hours?
66
How many kilograms are there in seventeen halves of a tonne?
8500
What is 356.1679 grams in nanograms?
356167900000
What is 3/5 of a litre in millilitres?
600
How many nanometers are there in 21/4 of a micrometer?
5250
What is seven halves of a gram in milligrams?
3500
How many millilitres are there in 0.807545l?
807.545
What is 3/40 of a kilogram in grams?
75
How many months are there in 43/4 of a decade?
1290
What is 65158.39 meters in micrometers?
65158390000
How many years are there in three eighths of a millennium?
375
What is 43/2 of a gram in milligrams?
21500
What is 18/5 of a tonne in kilograms?
3600
How many decades are there in 5/4 of a millennium?
125
How many millilitres are there in 9.99189 litres?
9991.89
How many hours are there in three eighths of a week?
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the nearest to 413? (a) -5 (b) -4 (c) 5 (d) 4
c
Which is the nearest to 15? (a) -1/2 (b) -0.1 (c) -2 (d) 0.1
d
What is the closest to 1 in 11, -0.5, 0.34?
0.34
What is the nearest to 1 in 1, -1/6, -17, 2?
1
Which is the nearest to -11? (a) 0.03 (b) 2 (c) 0
c
Which is the closest to 5? (a) 5 (b) -4 (c) 0.3 (d) -1
a
What is the nearest to 0.2 in 2, 141, 3?
2
What is the closest to 1 in 1, 0.5, 4, 69?
1
What is the nearest to 0 in 2, -1.86, 0?
0
What is the closest to 5 in 16.5, -2/5, 2?
2
Which is the closest to 2? (a) -2 (b) 223 (c) 2/7 (d) -14
c
What is the nearest to -6 in 1/5, 2/5, -491?
1/5
Which is the nearest to 14? (a) -1/32 (b) 4/5 (c) 1
c
Which is the nearest to 2/13? (a) -3/2 (b) 2 (c) -0.3 (d) -0.5
c
What is the closest to -0.1 in 4, -2/5, 5/3?
-2/5
Which is the closest to -27? (a) -3 (b) 2/21 (c) 0.1 (d) -1/3
a
Which is the nearest to 1? (a) 3 (b) 0.5 (c) 8.3
b
What is the closest to 39 in -0.2, 2, -5?
2
Which is the nearest to -1/11? (a) -8 (b) -4 (c) 4
b
What is the nearest to -90 in -1, 0.04, 5?
-1
Which is the closest to 7/152? (a) 2/5 (b) -0.4 (c) -2 (d) -1
a
What is the closest to -2/5 in 4, 0.2, 7/3, -2?
0.2
What is the closest to -0.1 in 0.6, 2, 4, -2?
0.6
Which is the closest to -3? (a) 0.4 (b) -0.4 (c) 2.6
b
Which is the closest to 0.1? (a) -2 (b) 2/3 (c) -8 (d) 3/2
b
Which is the closest to 6? (a) -9 (b) -0.1 (c) 0.3 (d) 0
c
Which is the nearest to 0.29? (a) -1/6 (b) -4 (c) 1/9
c
Which is the closest to -1/7? (a) 2 (b) 3 (c) 0.1 (d) -2/3
c
What is the closest to 0.4 in 1/2, 1/9, -2, 3?
1/2
What is the closest to 0 in 1, -0.1, 4?
-0.1
What is the nearest to -27 in 0, -6, -3/8, -0.1?
-6
Which is the nearest to -6? (a) 0 (b) 0.02 (c) 0.3 (d) 38
a
What is the nearest to -1 in 6/11, -2, 1/2, -8/9?
-8/9
Which is the nearest to -1/4? (a) -5 (b) 1/5 (c) 2
b
What is the closest to -3 in 3, -0.5, -6/5?
-6/5
What is the closest to -0.6 in -3/8, -10, 0.2, 14?
-3/8
What is the closest to 0 in -1, 40, -5?
-1
What is the closest to 0.9 in -0.61, -7, -3?
-0.61
Which is the closest to 3? (a) -13 (b) 0.7 (c) 0.1 (d) 0
b
What is the closest to 0.2 in 6, 0.5, 15?
0.5
What is the closest to -0.6 in -5, -2, -0.79, 0.2?
-0.79
What is the nearest to -25 in 8, 4, 0?
0
Which is the closest to 2? (a) 4 (b) -1 (c) -2/19
a
What is the closest to 5 in -0.5, -3, 7?
7
Which is the closest to 1/4? (a) -1/2 (b) -0.07 (c) -2 (d) -4
b
What is the nearest to 0.16 in 7, -2/5, -3/2, 3/8?
3/8
Which is the closest to 0.1? (a) 1/8 (b) 2 (c) -2 (d) 0.2
a
What is the nearest to -1/3 in 0.48, -4, -5, -0.1?
-0.1
What is the nearest to 4 in 4/3, -30, -3/2, -2/15?
4/3
Which is the nearest to -0.1? (a) 3 (b) -3/2 (c) 30
b
Which is the closest to 1? (a) 1 (b) -2/9 (c) 30
a
What is the nearest to -2 in 0.4, -6/11, 2, 6?
-6/11
What is the closest to -1 in 2.4, -3/7, 0.2?
-3/7
What is the closest to 0.2 in 0, 0.5, -9/5?
0
Which is the nearest to -1/3? (a) -2/5 (b) -1 (c) 0.06
a
Which is the closest to -2/5? (a) 0 (b) -1/6 (c) 1/6 (d) 0.3
b
Which is the closest to 0.1? (a) 0.07 (b) -84 (c) 0.01
a
Which is the nearest to 0.1? (a) -2/21 (b) 4 (c) 6/11
a
What is the closest to -1/4 in 1/8, 3/13, 2/27?
2/27
What is the nearest to -1 in 1/9, 5, 15, 183?
1/9
Which is the closest to 2? (a) 1 (b) -3 (c) 2/7 (d) -2
a
What is the nearest to 313 in 2, -1, -4?
2
What is the nearest to -1/4 in 0.5, -5, 3/53, -2?
3/53
Which is the nearest to -0.3? (a) -2/5 (b) 13 (c) 1
a
Which is the closest to 8? (a) -4/3 (b) 1/28 (c) 4/3
c
What is the nearest to 2/7 in -4/7, 93, -4?
-4/7
What is the closest to -1/2 in 0, 54, 2/9, 0.1?
0
What is the nearest to 2/3 in 4, 0.57, -0.4, 8?
0.57
What is the nearest to -0.3 in 1/3, -4, 8/3?
1/3
Which is the closest to 0.1? (a) -2/9 (b) 2 (c) 25
a
What is the closest to -0.3 in -4, 3, -2/7?
-2/7
Which is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
7 to the power of 1/2, to the nearest integer?
936
What is the square root of 191139 to the nearest integer?
437
What is the square root of 14531307 to the nearest integer?
3812
What is 87942 to the power of 1/6, to the nearest integer?
7
What is the fourth root of 1247151 to the nearest integer?
33
What is the cube root of 629535 to the nearest integer?
86
What is 44505 to the power of 1/8, to the nearest integer?
4
What is 873966 to the power of 1/3, to the nearest integer?
96
What is 1488645 to the power of 1/3, to the nearest integer?
114
What is the cube root of 13086939 to the nearest integer?
236
What is 3669183 to the power of 1/2, to the nearest integer?
1916
What is 150067 to the power of 1/3, to the nearest integer?
53
What is the sixth root of 1659 to the nearest integer?
3
What is the cube root of 5391101 to the nearest integer?
175
What is the eighth root of 6469531 to the nearest integer?
7
What is the cube root of 4659884 to the nearest integer?
167
What is 3978593 to the power of 1/2, to the nearest integer?
1995
What is the fifth root of 211991 to the nearest integer?
12
What is the fifth root of 3586195 to the nearest integer?
20
What is 178396 to the power of 1/2, to the nearest integer?
422
What is 805702 to the power of 1/2, to the nearest integer?
898
What is the tenth root of 1663548 to the nearest integer?
4
What is the tenth root of 317425 to the nearest integer?
4
What is 7945652 to the power of 1/3, to the nearest integer?
200
What is the cube root of 3921833 to the nearest integer?
158
What is the eighth root of 19003523 to the nearest integer?
8
What is the third root of 41926282 to the nearest integer?
347
What is 2174 to the power of 1/3, to the nearest integer?
13
What is 152157 to the power of 1/2, to the nearest integer?
390
What is 1917654 to the power of 1/2, to the nearest integer?
1385
What is the cube root of 11167709 to the nearest integer?
224
What is the square root of 11720440 to the nearest integer?
3424
What is the eighth root of 2641254 to the nearest integer?
6
What is the eighth root of 6460078 to the nearest integer?
7
What is the square root of 9924330 to the nearest integer?
3150
What is the tenth root of 288035 to the nearest integer?
4
What is the seventh root of 2327756 to the nearest integer?
8
What is 975141 to the power of 1/3, to the nearest integer?
99
What is the fourth root of 2683037 to the nearest integer?
40
What is the square root of 748653 to the nearest integer?
865
What is the fourth root of 628998 to the nearest integer?
28
What is 208674 to the power of 1/3, to the nearest integer?
59
What is the eighth root of 305385 to the nearest integer?
5
What is the fifth root of 532293 to the nearest integer?
14
What is the cube root of 1383311 to the nearest integer?
111
What is 151418 to the power of 1/9, to the nearest integer?
4
What is 1157605 to the power of 1/2, to the nearest integer?
1076
What is 161231 to the power of 1/2, to the nearest integer?
402
What is 3090846 to the power of 1/3, to the nearest integer?
146
What is the third root of 947879 to the nearest integer?
98
What is the third root of 9460408 to the nearest integer?
211
What is the seventh root of 36558 to the nearest integer?
4
What is 20589536 to the power of 1/4, to the nearest integer?
67
What is 18386523 to the power of 1/2, to the nearest integer?
4288
What is 265968 to the power of 1/2, to the nearest integer?
516
What is the cube root of 3223458 to the nearest integer?
148
What is 15420035 to the power of 1/3, to the nearest integer?
249
What is the cube root of 3481184 to the nearest integer?
152
What is the cube root of 23520739 to the nearest integer?
287
What is 41391047 to the power of 1/2, to the nearest integer?
6434
What is the cube root of 7829798 to the nearest integer?
199
What is the eighth root of 229238 to the nearest integer?
5
What is 289311 to the power of 1/4, to the nearest integer?
23
What is 1020043 to the power of 1/2, to the nearest integer?
1010
What is 64213 to the power of 1/3, to the nearest integer?
40
What is 356652 to the power of 1/5, to the nearest integer?
13
What is the third root of 6206301 to the nearest integer?
184
What is the square root of 1330399 to the nearest integer?
1153
What is 844475 to the power of 1/2, to the nearest integer?
919
What is the fourth root of 5762983 to the nearest integer?
49
What is 5283635 to the power of 1/6, to the nearest integer?
13
What is 146937 to the power of 1/7, to the nearest integer?
5
What is 55336 to the power of 1/2, to the nearest integer?
235
What is the cube root of 3085876 to the nearest integer?
146
What is 19058496 to the power of 1/8, to the nearest integer?
8
What is 519086 to the power of 1/2, to the nearest integer?
720
What is the ninth root of 1501351 to the nearest integer?
5
What is 210100 to the power of 1/7, to the nearest integer?
6
What is 18617845 to the power of 1/3, to the nearest integer?
265
What is the square root of 9660666 to the nearest integer?
3108
What is the square root of 124498 to the nearest integer?
353
What is 80742 to the power of 1/7, to the nearest integer?
5
What is 483624 to the power of 1/4, to the nearest integer?
26
What is 6596178 to the power of 1/3, to the nearest integer?
188
What is the fourth root of 14151565 to the nearest integer?
61
What is the square root of 20122555 to the nearest integer?
4486
What is the seventh root of 19318089 to the nearest integer?
11
What is the ninth root of 123718 to the nearest integer?
4
What is the ninth root of 1625737 to the nearest integer?
5
What is the tenth root of 192765 to the nearest integer?
3
What is the square root of 4106242 to the nearest integer?
2026
What is the sixth root of 32257 to the nearest integer?
6
What is 11121966 to the power of 1/2, to the nearest integer?
3335
What is 502948 to the power of 1/9, to the nearest integer?
4
What is 1909096 to the power of 1/2, to the nearest integer?
1382
What is the eighth root of 2259177 to the nearest integer?
6
What is 15146937 to the power of 1/10, to the nearest integer?
5
What is the cube root of 81347 to the nearest integer?
43
What is the square root of 687060 to the nearest integer?
829
What is the cube root of 120242 to the nearest integer?
49
What is the third root of 680208 to the nearest integer?
88
What is the seventh root of 19777977 to the nearest integer?
11
What is 23218116 to the power of 1/6, to the nearest integer?
17
What is the eighth root of 1987590 to the nearest integer?
6
What is 8523585 to the power of 1/5, to the nearest integer?
24
What is 2723884 to the power of 1/4, to the nearest integer?
41
What is the square root of 6178433 to the nearest integer?
2486
What is 13001 to the power of 1/6, to the nearest integer?
5
What is the cube root of 172340 to the nearest integer?
56
What is 18
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - q**2 - 5*q - 4. Let t be l(-1). Round t to the nearest 1000000.
-19000000
Let n = -11.30871 - -60.30801. Let t = 49 - n. Round t to four dps.
0.0007
Let w(m) = 11890*m**3 + 10509*m**3 - 5 + 4*m**2 + 6*m + 0*m**2. Let x be w(5). Round x to the nearest 1000000.
3000000
Let w(v) = 29299999*v**3 - 12*v**2 + 13*v. Let a be w(1). What is a rounded to the nearest 1000000?
29000000
Let d = 230 - 209.8. Round d to zero decimal places.
20
Let p = -12 - -11.62. Let g = p - -0.38017. Round g to 4 decimal places.
0.0002
Let d = -0.071 - -14.271. Let k = -13 + d. Let g = -1.1999938 + k. What is g rounded to six dps?
0.000006
Suppose -3*q - 2*x = -270834, -3*x - 13 = -4. What is q rounded to the nearest 10000?
90000
Let m = 10356.2041 + -10355. What is m rounded to one decimal place?
1.2
Let z be (3 - -2)/(-20) + 1203999/(-4). Round z to the nearest ten thousand.
-300000
Let r = -89 - -87. Let o be 24/(2/1)*(-78)/r. Round o to the nearest ten.
470
Let h = 21 - 21.015. Let q = 0.0091 + h. What is q rounded to three decimal places?
-0.006
Let g = -1284 - -2330. Round g to the nearest one hundred.
1000
Let p(i) be the third derivative of 2700001*i**4/12 - 2*i**3/3 + 2*i**2. Let n be p(2). Round n to the nearest 1000000.
11000000
Let b(f) = -1200001*f**2 + 2*f + 3. Let n(p) = -2*p. Let g(w) = -w - 1. Let u(j) = 3*g(j) - n(j). Let z be u(-6). Let k be b(z). Round k to the nearest 1000000.
-11000000
Let j = -12.8 + 13.0565. What is j rounded to 2 decimal places?
0.26
Let v = 137.2 + -137.17643. Round v to 3 decimal places.
0.024
Let s(i) = -150*i**2 - 68*i + 142. Let y be s(19). Round y to the nearest 1000.
-55000
Let p(y) = -y + 6. Let l be p(6). Suppose l*b = -3*b. Suppose b = 5*a + 2076 - 326. Round a to the nearest one hundred.
-400
Let o(r) = 2624*r - 7. Let b be o(-8). Suppose -4 = 4*j - 6*j. Let v be b/3 - j/6. What is v rounded to the nearest one thousand?
-7000
Let q = -1.5 - -0.7. Let c = -0.87 - q. Round c to 1 dp.
-0.1
Let j = -274.000001369 - -274. What is j rounded to six dps?
-0.000001
Let y be (-2037840224)/(-168) - 4/3. What is y rounded to the nearest 100000?
12100000
Let q = -60 - -64. Suppose w = -y + 5*w - 58, q*y + w = -181. What is y rounded to the nearest 10?
-50
Let f = -92.4784 - -92.2. Round f to two decimal places.
-0.28
Let o = -0.079 + -72.921. Let t = o - -73.039. What is t rounded to two dps?
0.04
Suppose 37*w + 408649879 = 97109879. Round w to the nearest one million.
-8000000
Let m = -835 + 835.00003528. What is m rounded to 6 dps?
0.000035
Let i = 872 - 871.99999933. Round i to seven decimal places.
0.0000007
Let w = 24 + -37. Let s = -1013726.999995 - -1013740. Let z = s + w. What is z rounded to six dps?
0.000005
Let i = -0.14 + 1.84. Let s = i - 1.69994. Round s to four decimal places.
0.0001
Let t = 533576 + 135424. What is t rounded to the nearest one hundred thousand?
700000
Let h = -7 - -10. Suppose -4*b = -3*y + 10, h*y - 5*b = -0*y + 8. Suppose -m + y*m + 2200000 = 0. What is m rounded to the nearest 100000?
-400000
Suppose 2*f = p + 11584, 17377 = 3*f - 6*p + 5*p. What is f rounded to the nearest 1000?
6000
Suppose -8*t + 42 = -5*t. Suppose 2*j = -t + 18. Suppose -4*z = 0, j*p + z = -0*z - 35400. What is p rounded to the nearest one thousand?
-18000
Suppose 20 = -4*m, -3*f + 2*m + 216 = -307. Round f to the nearest ten.
170
Let j(o) = -2*o - 9. Let p be j(-6). Suppose -600 = -0*r + p*r. What is r rounded to the nearest 10000?
0
Suppose u + 5816429 = -4*l, -3*u - 5886671 = 4*l - 70232. Let f = 1031061 - 176955. Let y = f + l. Round y to the nearest one million.
-1000000
Let o = 1224 + -1224.0000081. What is o rounded to 6 dps?
-0.000008
Let w = 36 - 34. Suppose 4*g - 663990 = -2*v, 6*g - w*g - v = 664005. Round g to the nearest ten thousand.
170000
Suppose -85847 - 70153 = 6*a. Round a to the nearest one thousand.
-26000
Let c = 39 + -101.8. Let j = c - -62.79999589. What is j rounded to 7 decimal places?
-0.0000041
Let v = -665989 + 1096004. Suppose 2*i = -0*i + 10, v = 2*c + 3*i. Round c to the nearest 10000.
220000
Let y(i) be the first derivative of -8 - i**3 + 10*i + 7*i**2 - 5/4*i**4. Let u be y(-15). Round u to the nearest ten thousand.
20000
Let b = -0.0914 + 1557.0914. Let x = -1557.697 + b. Round x to two decimal places.
-0.7
Let v = -261209.9992 + 261339. Let q = v - 129. What is q rounded to 3 dps?
0.001
Let v = 3 + 1. Suppose -3*f - v*c - 3394 = 0, c + 3392 = -3*f - c. What is f rounded to the nearest one hundred?
-1100
Let s = 5492.2995 - 5495. Round s to two decimal places.
-2.7
Let n = 14768.9000555 - 14769. Let q = -0.1 - n. Round q to six dps.
-0.000056
Let j = -28 + 26.9. Let p = -404472 + 404473.100005. Let u = j + p. Round u to 5 dps.
0.00001
Suppose -3*s + 49685669 = -26274286. Suppose -3*m + 5*c - 25319975 = -0*m, 0 = -3*m + 3*c - s. Round m to the nearest one million.
-8000000
Let v = -29704566 - -29704563.00000048. Let d = -0.1 - 2.9. Let a = d - v. Round a to 7 decimal places.
-0.0000005
Let y = 24.69645 - 24.7.
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Factor 2*o**2 - 70*o - 5027008.
2*(o - 1603)*(o + 1568)
Factor a**2 - 273*a - 17278.
(a - 326)*(a + 53)
Find t, given that -2*t**4/5 - 21126*t**3/5 - 55353036*t**2/5 + 2303464504*t/5 - 4385347824/5 = 0.
-5302, 2, 39
Determine g so that 2*g**5 + 726*g**4 - 9088*g**3 - 32040*g**2 + 363200*g + 1200000 = 0.
-375, -4, 10
Determine g so that -2*g**3/5 + 3975972*g**2/5 + 500996286*g/5 + 15781633056/5 = 0.
-63, 1988112
Solve -2*l**2 + 320844*l - 7057600 = 0.
22, 160400
Factor j**3 - 1116054*j**2 + 311396364825*j - 1245567602500.
(j - 558025)**2*(j - 4)
Find i such that -2*i**3 + 36558*i**2 - 12338590*i - 12375150 = 0.
-1, 345, 17935
Let -4*a**4 + 26016*a**3 - 41962392*a**2 - 1104667040*a - 6524057700 = 0. What is a?
-17, -9, 3265
What is m in 2*m**5/23 - 284*m**4/23 - 85866*m**3/23 + 260108*m**2/23 - 1112*m/23 - 346800/23 = 0?
-150, -1, 2, 289
Factor -87818*l**2/13 + 614728*l/13 - 14/13.
-2*(l - 7)*(43909*l - 1)/13
Factor j**2 - 925852*j - 5555148.
(j - 925858)*(j + 6)
Solve 764*p**2 - 3197348*p + 33480 = 0 for p.
2/191, 4185
Factor o**2/4 + 16617*o/4 - 266896.
(o - 64)*(o + 16681)/4
Find i such that -2*i**3 - 42238*i**2 - 211140*i = 0.
-21114, -5, 0
Find f such that 295152*f**4 + 699324*f**3 + 577341*f**2 + 735885*f/4 + 29727/2 = 0.
-3/4, -734/6149
Let 25*x**3 + 3455*x**2 - 252120*x = 0. What is x?
-191, 0, 264/5
Factor -3*g**2 + 7019763*g - 7019760.
-3*(g - 2339920)*(g - 1)
Solve 3*a**2 + 9732*a - 2452695 = 0.
-3479, 235
Suppose 6*o**3 - 2830365*o**2/2 + 83447385948*o + 20861934936 = 0. What is o?
-1/4, 117932
Factor 3*o**4 - 30588*o**3 + 112232604*o**2 - 174676811616*o + 97833953518272.
3*(o - 3436)**2*(o - 1662)**2
Let -14*x**5/3 + 740*x**4/3 + 2734*x**3/3 - 4908*x**2 - 7824*x + 24192 = 0. What is x?
-36/7, -3, 2, 3, 56
Factor -2*c**3 + 18010*c**2 + 12923128*c.
-2*c*(c - 9673)*(c + 668)
Find c such that -423*c**3/5 + 46704*c**2/5 - 341184*c + 4116480 = 0.
4288/141, 40
Suppose -h**5/3 - 124*h**4/3 + 2886*h**3 + 683100*h**2 + 36512109*h + 630737280 = 0. Calculate h.
-69, -45, 128
Factor -4*d**3 + 347236*d**2 - 1041680*d + 694448.
-4*(d - 86806)*(d - 2)*(d - 1)
Let -162184488578*a**2 + 686858004*a - 727218 = 0. What is a?
603/284767
Let -h**3/2 + 149289*h**2/2 + 8064577*h/2 - 8213865/2 = 0. Calculate h.
-55, 1, 149343
Find f, given that 948*f**3 + 354556*f**2 + 1750556*f + 7380 = 0.
-369, -5, -1/237
Suppose -12*o**5 + 18598*o**4 + 1960134*o**3 + 38597790*o**2 - 616452650*o - 768652500 = 0. What is o?
-55, -7/6, 11, 1650
Solve 2*n**5/5 - 727708*n**4/5 - 3202046*n**3 - 114256272*n**2/5 - 288189144*n/5 - 235791648/5 = 0 for n.
-9, -2, 363876
Determine g, given that -g**2 - 6427165*g - 32135800 = 0.
-6427160, -5
Suppose 4396*v**2 - 31404*v/7 + 632/7 = 0. What is v?
158/7693, 1
Factor 2*s**2 + 58742968*s.
2*s*(s + 29371484)
Solve -2*v**2/9 + 5538380*v/9 - 27691750/3 = 0.
15, 2769175
Solve -n**3/4 - 5285*n**2/4 - 159252*n + 4911035679 = 0.
-3462, 1639
Factor 3*f**3 - 72*f**2 - 70383*f - 2300508.
3*(f - 179)*(f + 36)*(f + 119)
Let -73371*g**2 - 8731143*g + 714 = 0. What is g?
-119, 2/24457
Solve -2*w**4 - 692*w**3 - 76008*w**2 - 2780172*w - 7674966 = 0 for w.
-169, -87, -3
Let -j**4 - 298*j**3 - 14661*j**2 - 91208*j - 126140 = 0. Calculate j.
-238, -53, -5, -2
Suppose 2*c**4/5 + 361709572*c**3/5 + 21805635625500672*c**2/5 + 438183717290635542183932*c/5 - 438183739096271529394178/5 = 0. Calculate c.
-60284929, 1
What is r in -365*r**3 + 21180*r**2 + 431580*r - 11840 = 0?
-16, 2/73, 74
Solve -3*s**2 + 7366482*s - 4522088088027 = 0 for s.
1227747
Suppose 3*z**3 + 83049*z**2 + 830157*z - 913209 = 0. Calculate z.
-27673, -11, 1
Factor -4*l**3/5 - 19004*l**2/5 - 2795168*l/5 + 54800579648/5.
-4*(l - 1433)*(l + 3092)**2/5
Find w, given that 3*w**3/5 + 34964841*w**2/5 + 69929673*w/5 + 6992967 = 0.
-11654945, -1
Determine s so that -s**2/2 + 2754760*s - 3794351328800 = 0.
2754760
Determine t, given that 16*t**4 + 1002*t**3 + 11732*t**2 - 25128*t - 89424 = 0.
-46, -18, -2, 27/8
Factor -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
n - 1)**2*(3*n + 2)
Suppose -6 = -4*b + 3*b. Let m(r) = r - 6. Let y be m(b). Factor y*q - 2/3*q**5 + 0 + 0*q**2 + 4/3*q**4 - 2/3*q**3.
-2*q**3*(q - 1)**2/3
Factor 6/7*g**2 + 2/7*g + 6/7*g**3 + 2/7*g**4 + 0.
2*g*(g + 1)**3/7
Let w = -1472 - -1472. Solve -1/2*b**2 - 3/2*b + w = 0 for b.
-3, 0
Let s = -2081/5 + 419. Let n be (8/(-20))/(1/(-10)). Suppose -28/5*a**2 - 8/5*a**3 + s*a**5 + 24/5*a**n - 6/5*a + 4/5 = 0. Calculate a.
-1, 2/7, 1
Solve -108/5*o - 54/5 - 72/5*o**2 - 16/5*o**3 = 0.
-3/2
Let y(l) be the second derivative of -l**5/120 - l**4/18 - l**3/12 - 36*l. Factor y(g).
-g*(g + 1)*(g + 3)/6
Let z(a) be the second derivative of a**4/6 - 2*a**3/3 + a**2 - 2*a. Factor z(o).
2*(o - 1)**2
What is j in 18/19*j**2 - 4/19*j + 0 = 0?
0, 2/9
Let 10/3*p**2 - 2/3*p**4 + 0 - 2/3*p**3 - 2*p = 0. Calculate p.
-3, 0, 1
Let x be ((-9)/(-18))/(21/12). Factor x*p**2 - 4/7*p**3 + 2/7*p**4 + 0*p + 0.
2*p**2*(p - 1)**2/7
Factor -2/5*z**4 + 0*z + 0 - z**3 + 3/5*z**2.
-z**2*(z + 3)*(2*z - 1)/5
Suppose -4 = 5*k - 3*i - 14, -i = k - 2. Solve -16*b**4 + 8*b**2 + 4*b**k - 6*b**3 + 3 + 0*b**5 + 12*b + b**4 - 6*b**5 = 0 for b.
-1, -1/2, 1
Let c = -4 - -12. Let a = 1 + 8. Let -1 - a*v**2 + v - 2 + 3*v**3 + c*v = 0. What is v?
1
Suppose 5*s = 3*l - 6*l, -4*l - 14 = 2*s. Suppose -3 - 3 = -s*c. Factor -c*y - 2/3*y**2 - 4/3.
-2*(y + 1)*(y + 2)/3
Let u = 139 + -134. Let n(s) be the third derivative of 0*s + 0 + 1/15*s**3 - 3*s**2 + 1/75*s**u - 1/24*s**4 - 1/600*s**6. Find x such that n(x) = 0.
1, 2
Let j(w) be the first derivative of 1/18*w**3 - 1/3*w - 1/12*w**2 + 1. Factor j(u).
(u - 2)*(u + 1)/6
Let x = 9 - 21. Let j be 0 - 1 - 15/x. Factor -1/4*d - j*d**5 - 3/2*d**3 + d**4 + 0 + d**2.
-d*(d - 1)**4/4
Let s(g) be the second derivative of -g**6/15 + g**5/10 + g**4/2 - 5*g**3/3 + 2*g**2 - 19*g. Determine o so that s(o) = 0.
-2, 1
Suppose -4 = -2*x + 2*y - 0*y, x + 4*y = 17. What is u in 18/7*u**x + 44/7*u**3 + 48/7*u**4 + 16/7*u**2 + 0 + 2/7*u = 0?
-1, -1/3, 0
Let s(d) be the second derivative of -d**5/60 + d**4/12 - 8*d. Factor s(u).
-u**2*(u - 3)/3
Suppose -3*g + 12 = g. Factor -10*z**3 - 2*z**2 + 3*z**2 + 0*z**2 + 9*z**g.
-z**2*(z - 1)
Factor -1/9*c**2 - 1/3*c**4 + 0 + 0*c + 1/3*c**3 + 1/9*c**5.
c**2*(c - 1)**3/9
Let r(z) = -8*z**3 + 28*z**2 - 40*z + 17. Let b(j) = 55*j**3 - 195*j**2 + 280*j - 120. Let v(s) = -3*b(s) - 20*r(s). Determine h, given that v(h) = 0.
1, 2
Let i(f) be the third derivative of 0 + 0*f - 8*f**2 - 1/20*f**4 - 1/100*f**5 + 1/100*f**6 + 1/350*f**7 + 0*f**3. Factor i(p).
3*p*(p - 1)*(p + 1)*(p + 2)/5
Let r = -31 - -33. Factor 3/4 - 3/4*z**4 + 0*z**r + 3/2*z - 3/2*z**3.
-3*(z - 1)*(z + 1)**3/4
Determine l so that -15*l**4 - 10*l - 22*l**2 + 11*l**2 + 20*l**3 + 16*l**2 = 0.
-2/3, 0, 1
Let s(b) be the second derivative of b**5/20 - b**4/6 - 2*b**3/3 + 4*b**2 - 24*b. Find u such that s(u) = 0.
-2, 2
Let a(i) = 61*i**3 - i**2 - 43*i + 19. Suppose -12 = f - 3*s, 2*s = -0*s + 4. Let u(q) = 31*q**3 - q**2 - 22*q + 10. Let w(r) = f*a(r) + 11*u(r). Factor w(j).
-(j + 1)*(5*j - 2)**2
Find j such that 4/3*j**5 - 16/3 - 4/3*j**3 - 16*j + 4*j**4 - 44/3*j**2 = 0.
-2, -1, 2
Suppose 0 = -2*y + 2*u, 3*y + 0*y + 4*u - 21 = 0. What is k in k + 3*k**y + k**5 - k - 4*k**3 = 0?
-1, 0, 1
Let i(m) = m - 4. Let g be i(11). Factor 2 + 27*j - 1 + g + 338*j**2 + 77*j.
2*(13*j + 2)**2
Let l(a) be the second derivative of a**7/5040 + a**4/3 + 11*a. Let p(j) be the third derivative of l(j). Factor p(r).
r**2/2
Factor -1/8*g**2 - 1/8 + 1/4*g.
-(g - 1)**2/8
Let f(h) be the first derivative of -h**6/39 - 2*h**5/65 + 4. Factor f(j).
-2*j**4*(j + 1)/13
Let g(y) be the second derivative of y**5/10 + y**4/3 - 4*y**3/3 - 8*y**2 + 10*y. Factor g(q).
2*(q - 2)*(q + 2)**2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the nearest to 0.1 in 2/9, -3/5, -7, 11/2, 4?
2/9
Which is the nearest to 1/3? (a) -3 (b) 10.6 (c) 3/4 (d) 2.4
c
Which is the closest to -3? (a) -178 (b) 0.2 (c) 315
b
What is the closest to 3 in -0.3, -0.26, 0.1, 4.3?
4.3
What is the closest to 2 in 27, 1, -15, 2?
2
Which is the closest to -27? (a) -4/41 (b) 0.1 (c) 1/6
a
What is the closest to 2/5 in 5, 1/920, -2/13?
1/920
What is the closest to -5 in 5/4, -3/7, -3/2?
-3/2
What is the nearest to 0.6 in -5, -43, 2.3?
2.3
Which is the closest to -887? (a) 4 (b) 6 (c) 13/3
a
Which is the closest to -1? (a) 4 (b) 3 (c) -450
b
Which is the nearest to -1/9? (a) 2 (b) 4 (c) 28 (d) -2/7
d
What is the nearest to 1/4 in -3/5, -4, 25.5, -2/3?
-3/5
What is the nearest to 0.2 in -4/7, -1854, -0.8, -4?
-4/7
What is the closest to -4 in -3, -317, -0.2, -0.5, 2/13?
-3
What is the closest to -0.017364 in 5, -2/3, 3?
-2/3
Which is the closest to 0.1? (a) -77 (b) 0 (c) 1 (d) -8
b
Which is the nearest to 2/7? (a) -0.3 (b) 81 (c) -152 (d) -5 (e) 0
e
What is the nearest to -1 in 0.5, -0.04, -280?
-0.04
What is the closest to 1760 in 2/5, 1, 2.5, -1/2?
2.5
Which is the nearest to 0.3? (a) -1 (b) -1/32 (c) 2/3 (d) 0.6 (e) 0.2
e
Which is the closest to 0.1? (a) 0.5 (b) 1 (c) 84 (d) -6 (e) -1.1
a
What is the nearest to 0 in 0, -2.14, -4?
0
What is the nearest to -1.1 in 0.5, -1/330, -3, -0.4?
-0.4
Which is the closest to -2/7? (a) 4 (b) -7745 (c) -5 (d) 1/7
d
What is the nearest to 0.2 in -1, 0.2, -0.62?
0.2
Which is the closest to 2? (a) 1/11 (b) -0.5 (c) 1/27 (d) -56/11 (e) 13
a
What is the nearest to 1 in 111.2, 1/10, 0.4?
0.4
Which is the nearest to 1.87? (a) -5/4 (b) -1/4 (c) -1/17
c
Which is the nearest to 78? (a) -1 (b) 2.2 (c) 0.5
b
Which is the closest to 6/5? (a) -274/13 (b) 11 (c) -0.2 (d) -1/2
c
What is the closest to -1/2 in -43, -0.4, -187?
-0.4
What is the closest to 0.09 in -2/113, 0.5, 8, -0.2?
-2/113
What is the closest to 2 in -15/8, -2, 4?
4
Which is the nearest to -1/2? (a) 16 (b) 0.5 (c) 1
b
Which is the closest to 1? (a) 4/7 (b) 0.2 (c) -3 (d) 0 (e) -227
a
Which is the closest to -2/5? (a) 12 (b) -1 (c) 2/61 (d) 61/2
c
What is the closest to -81 in 0.1, -17, -6, -0.3, -2/11?
-17
Which is the nearest to 0.1? (a) 3 (b) -27 (c) 128
a
What is the closest to 0.08 in 0.3, -1.07, -2/21?
-2/21
What is the closest to -0.1 in -0.5, -0.56, -3, 4, -2/3?
-0.5
Which is the closest to -0.2? (a) -0.5 (b) -39530 (c) -1/5
c
What is the closest to -0.06 in -1/3, 5, -149?
-1/3
What is the nearest to 7/5 in 0.27, 6/5, -7?
6/5
What is the closest to -1 in -6, 0, 0.001, -3/4?
-3/4
Which is the closest to -0.4? (a) -2 (b) -0.4 (c) 1620
b
Which is the closest to -2? (a) -229 (b) 1 (c) -0.034 (d) 0.08
c
Which is the nearest to 0? (a) -5.61 (b) -2 (c) 55
b
Which is the closest to -20.4? (a) 0.19 (b) 1/4 (c) -0.5 (d) 4 (e) -3
e
What is the closest to 3/8 in 15/8, 5, 1/3?
1/3
Which is the closest to -3/2? (a) -0.01 (b) 12 (c) -3 (d) -5 (e) -54
a
What is the nearest to -4 in 0.4, 16, -5, -1?
-5
Which is the closest to 1/6? (a) -37 (b) 0 (c) 0.1
c
What is the closest to -0.1 in 14, -17/5, 18?
-17/5
What is the nearest to 101 in 3, 0.2, -628/3?
3
Which is the nearest to -2? (a) -114 (b) -2 (c) 2/13 (d) 2.5
b
Which is the closest to -4/5? (a) -2 (b) 1 (c) -0.5 (d) -0.1 (e) 215
c
What is the closest to 10 in -0.11, 26.8, 0, -0.2?
0
Which is the nearest to -0.1? (a) -17 (b) 3.5 (c) 7/20
c
What is the nearest to 2/9 in -1, -5, -11, -10?
-1
What is the closest to -64/3 in -2/3, 4, -2/7, -0.2?
-2/3
Which is the closest to 1380? (a) 0.4 (b) 2 (c) 2/27 (d) 2/11 (e) -4
b
What is the closest to -0.7098 in -0.4, 5, -0.2?
-0.4
What is the nearest to -2/3 in 1/28, 0.38, 0.5?
1/28
Which is the closest to -2/111? (a) -0.5 (b) 0
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
-4, u, k
Let f(o) = o**3 - 10*o**2 + 8*o + 4. Let m be f(9). Let j = m + 8. Suppose h - 5 = 0, 5*c - 9 - 1 = j*h. Sort 2, 0, c in decreasing order.
c, 2, 0
Suppose -17 = 5*c - u + 13, -3*u = -4*c - 35. Let d = -3 + 23. Let x be (2/(-5))/(4/d). Sort c, x, 2 in descending order.
2, x, c
Let l be -2 - (2/(-3))/(6/(-27)). Let s be 7/(-39) - (-1)/3. Sort l, -0.1, s in descending order.
s, -0.1, l
Let n(u) = 3 + 4*u + 2 - 3*u + 0*u**2 - 10*u**2 - u**3. Let q be n(-10). Put -2, -1/4, q in descending order.
-1/4, -2, q
Suppose 0 = 4*q - 0*q + 4. Let r be -1 - (-1 + 2)*q. Put r, -3, -6 in increasing order.
-6, -3, r
Let t = 160 - 145.2. Let i = t - 15. Let g = 1 - -2. Sort i, -0.4, g.
-0.4, i, g
Let y be (-3)/(0 + 0 + 12/12). Sort y, -4, 2 in ascending order.
-4, y, 2
Let a(q) = q**3 + 5*q**2 - 4*q + 13. Let n be a(-6). Put -4, 4, n in decreasing order.
4, n, -4
Suppose -5*x = 0, -3*f + 7 = -2*x - 2. Let h be (5/f)/(4/(-6)). Put h, 3, -1/3 in increasing order.
h, -1/3, 3
Let n = 32 - 28. Suppose 2*b = -3*b. Suppose j - 2 = -2*s, -3*s - 2*j - j + 3 = 0. Put b, n, s in descending order.
n, s, b
Let o(m) = 2*m - 30. Let b be o(15). Put b, -7, -4, -2 in descending order.
b, -2, -4, -7
Let o = 140 + -148. Put o, 1, -4 in descending order.
1, -4, o
Let o = -3 + 15. Let k = -11.6 + o. Put -0.2, -2, k in decreasing order.
k, -0.2, -2
Suppose 4 = 2*z + 2*c, -2*z = 2*c - c - 4. Put z, -4, 11, -1 in descending order.
11, z, -1, -4
Let o = -9.902 - 0.098. Put o, -4, 3 in ascending order.
o, -4, 3
Let h be (2/(-10))/(9/15). Let s = 0.04 + -2.04. Sort h, s, 2 in decreasing order.
2, h, s
Let m be (-2 - -2)/(-2 - -4). Suppose -2*w = -m*w - 10, -w = s. Sort s, 0, -4 in ascending order.
s, -4, 0
Let v = 1.1 + -0.1. Let h = 9.5 - 9. Let k = -0.3 + -0.2. Sort k, h, v in increasing order.
k, h, v
Let h = -0.087 + 0.087. Sort h, 5, 4.
h, 4, 5
Let j be ((-8 - -4) + 3)/(-1). Let m be j/6*-14 - -3. Put -6, m, 1/3 in decreasing order.
m, 1/3, -6
Let q(p) = -p + 7. Let y be q(7). Let t = 8 + -6. Sort y, t, 5.
y, t, 5
Let j be 3*-1*1/1. Let l be (-3)/j + 12/3. Let c be (1 + 1)*l/(-55). Sort -2, 1, c.
-2, c, 1
Let u be (-312)/(-420) - 3/5. Let n be (-2)/(-8)*(-4)/3. Put 2/7, u, n in descending order.
2/7, u, n
Let a = 4.1489 - 0.0019. Let q = a - 0.047. Let c = q - 0.1. Sort -6/11, c, -4.
-4, -6/11, c
Let n = -2060903/11 - -187499. Let k = 144 - n. Sort -0.3, 0, k in increasing order.
-0.3, k, 0
Let t be (-2*1)/((-3)/(-3)). Let b be ((-12)/30)/(t/(-20)). Put -5, -2, b in descending order.
-2, b, -5
Suppose -4*m - 6 = 2*c, 2*c + 2*m - 3 = 3*c. Let g = -1/41 - -85/123. Let n = 6 + -2. Put c, g, n in decreasing order.
n, g, c
Suppose 4 = 4*a - 5*a. Put 5, a, 2, 1 in descending order.
5, 2, 1, a
Let g = -2.6 + 1.3. Let s = -1.7 + g. Put s, -1, -0.3 in descending order.
-0.3, -1, s
Let r = -14 + 19. Let x be (-16)/(-7) - (-4)/(-14). Let j be (x/5)/(18/(-10)). Put j, -2, r in increasing order.
-2, j, r
Let y = 20 + -20. Put 11, -4, y in decreasing order.
11, y, -4
Suppose 1 = -k - 0*k - 3*y, 4*k + y = 29. Let r(g) = -g + g - 3*g + k + g. Let n be r(6). Sort -0.4, 2/7, n in descending order.
2/7, -0.4, n
Let o = 6 + -5.4. Let w = 0.4 + o. Let y = -4 + 8. Sort 0, y, w in increasing order.
0, w, y
Let c = 0.36 - 0.06. Let y = 0.6 - 0.1. Let v = 0.9 - y. Sort c, -1/3, v in ascending order.
-1/3, c, v
Let f(v) = v**2 - v + 4. Let k be f(0). Let n be (-2 - (-10)/k)/(-1). Put 1/6, n, -1 in descending order.
1/6, n, -1
Let l = -9 - -9. Sort l, 2/7, -5.
-5, l, 2/7
Let u = -5 + 19. Let f = -12 + u. Sort f, -0.3, -3/7 in descending order.
f, -0.3, -3/7
Let j = -0.07 + 1.07. Put -5, 0, j, -2/25 in decreasing order.
j, 0, -2/25, -5
Let h be (-15)/6*113/(-20). Let x = -14 + h. Sort -2/5, 3, x in ascending order.
-2/5, x, 3
Suppose -11 = 7*f + 17. Put 1, f, -3 in descending order.
1, -3, f
Let d be (-1 - 14/10) + (-63)/105. Let h be ((-2)/2)/(-1 - -2). Sort d, h, 1.
d, h, 1
Let y = 3 + -2.7. Let t = y + 0.1. Let b = 17 - 17.4. Put -4, b, t in increasing order.
-4, b, t
Let n(p) = -p - 1. Let k be n(7). Let g = -10 - k. Sort 1, -4, g.
-4, g, 1
Let i = -0.8 - -0.4. Let r be -6 - (-4 - -1) - -7. Sort 0.6,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*c + 3. Let l(j) = n*b(j) + 6*z(j). Find the second derivative of l(g) wrt g.
12*g
Let d(y) = y**4 + y**3 - 2*y**2. Let h(l) = -l**3 + l**2. Let z(j) = d(j) + h(j). What is the third derivative of z(s) wrt s?
24*s
Let q(a) be the first derivative of -4*a + 17*a - 7 + a**2 - 4*a - 5*a. Differentiate q(o) with respect to o.
2
What is the second derivative of -14*s**3 - s + 17*s**3 + 0*s wrt s?
18*s
Let a(j) = -4*j - 9. Let b(u) = -2*u - 4. Let g(c) = c**3 - 4*c**2 - 5*c + 5. Let h be g(5). Let i(y) = h*b(y) - 2*a(y). Differentiate i(s) wrt s.
-2
Let i = -1 - 1. Let z(y) = 3*y**2 + y. Let l(s) = -6*s - 3 + 5*s + 3. Let m(v) = i*l(v) + z(v). Find the second derivative of m(d) wrt d.
6
Let l(m) be the third derivative of -m**6/15 - m**4/12 + 5*m**2. Find the second derivative of l(q) wrt q.
-48*q
Let m(a) = 15*a**6 + 15*a**4 + 15*a**3 + 5*a**2 + 15*a + 15. Let q(y) = y**4 + y**3 + y + 1. Let k(s) = m(s) - 15*q(s). Find the third derivative of k(d) wrt d.
1800*d**3
Let v(f) be the third derivative of 5/24*f**4 - 1/40*f**6 + 0*f + 0 + 2*f**2 + 0*f**3 + 0*f**5. Find the second derivative of v(q) wrt q.
-18*q
Let v(y) be the third derivative of -17*y**9/504 - 23*y**5/30 + 46*y**2. Find the third derivative of v(p) wrt p.
-2040*p**3
Find the second derivative of 2*d**4 - d - 6*d + 8*d**4 wrt d.
120*d**2
Let y = 0 - 3. Let z = 13 + y. What is the third derivative of 2*h**2 - 3*h**4 + z*h - 10*h wrt h?
-72*h
Let k(b) be the second derivative of b**5/20 - 13*b**3/3 + 10*b. Find the second derivative of k(v) wrt v.
6*v
Let p(f) = -5*f**2 + f**3 + 11*f - 4*f**2 + f + 0*f**3. Let s(x) = 2*x**2 - 3*x. Let v(b) = 2*p(b) + 9*s(b). What is the second derivative of v(z) wrt z?
12*z
Let y(v) be the second derivative of -2*v**4/3 + 4*v**3/3 + 22*v. Find the second derivative of y(j) wrt j.
-16
What is the second derivative of -25*f**2 - 18*f**2 + 108*f - 84*f wrt f?
-86
Let j(q) = q**3 + 8*q**2 - q - 5. Let l be j(-8). What is the derivative of -3*i**2 - 5 + 2 - i**3 + l*i**2 wrt i?
-3*i**2
Let b(q) = -4. Let o(t) = 3 - 5 + t - 2. Let h(z) = 4*b(z) - 3*o(z). Find the first derivative of h(f) wrt f.
-3
Find the third derivative of 8 - 2 + 42*l**3 + 2 - 2*l**2 - 2 wrt l.
252
Find the second derivative of 3*x**5 + 0*x**5 + 8*x**5 - x**5 - 6*x wrt x.
200*x**3
Differentiate 2 - 6*x**2 - 4 + 7 + 8 with respect to x.
-12*x
Let d(x) = x**2 - 4*x. Let z be d(3). Let k be (8/6)/((-2)/z). What is the third derivative of -4*i**2 + 3*i**2 + 3*i**k - 2*i**3 wrt i?
-12
Differentiate 200*i**2 - 199*i**2 + 3*i**4 + 3*i**4 - 22 + 6*i**4 wrt i.
48*i**3 + 2*i
Let m(s) be the third derivative of s**7/42 - s**3/6 + 6*s**2. Differentiate m(b) with respect to b.
20*b**3
Let b(f) be the third derivative of -47*f**8/336 - 9*f**5/10 + f**2 + 26. What is the third derivative of b(g) wrt g?
-2820*g**2
Let t(a) = 7*a**2 + 3*a - 4. Let u(p) = -7*p**2 - 2*p + 3. Let d(k) = 2*t(k) + 3*u(k). What is the derivative of d(r) wrt r?
-14*r
Let c(o) be the first derivative of 5*o**6/6 - o**3 - 1. Find the third derivative of c(a) wrt a.
300*a**2
Let q(o) be the second derivative of 1/2*o**2 + 0*o**3 + 1/6*o**4 + 4*o + 0. Differentiate q(s) wrt s.
4*s
Let s(i) be the first derivative of 3*i**4/4 - 5*i**2/2 - 8. What is the second derivative of s(g) wrt g?
18*g
What is the second derivative of 4*z - 4*z + 5*z + 9*z**4 + 9*z**4 wrt z?
216*z**2
Let j(z) be the third derivative of -z**6/360 - z**5/120 - z**4/8 - 3*z**2. Let x(c) be the second derivative of j(c). What is the derivative of x(s) wrt s?
-2
Let p(n) be the first derivative of 0*n**6 + 0*n - 5/7*n**7 + 0*n**5 + 6 + 0*n**4 + 0*n**2 - 1/3*n**3. What is the third derivative of p(i) wrt i?
-600*i**3
What is the third derivative of 2*r**2 + 0*r**2 + 2*r**5 + 3*r**2 - r**2 wrt r?
120*r**2
Let t(q) = -2*q**3 + 13*q**2 + 45*q - 13. Let j(y) = -y**3 + 6*y**2 + 23*y - 6. Let d(c) = -13*j(c) + 6*t(c). Find the second derivative of d(x) wrt x.
6*x
What is the second derivative of 45*d - 6*d**3 - 10*d**3 - 53*d - 4*d**3 wrt d?
-120*d
Let b(q) be the first derivative of -57*q**5/5 - q**2/2 - 11*q - 11. Differentiate b(d) with respect to d.
-228*d**3 - 1
Let t(j) be the first derivative of j**6/10 + j**3/6 + 2*j - 3. Let o(a) be the first derivative of t(a). Find the second derivative of o(u) wrt u.
36*u**2
Let w(h) = -16*h - 1. Let f be w(-1). Find the second derivative of -l**4 - 15*l**3 + 4*l + f
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4). Let r be 1 + 0 + 6499 + m. Round r to the nearest one thousand.
7000
Let h = 1.4 - 0.4. Let m = h + -0.29. Let o = 0.767 - m. Round o to two decimal places.
0.06
Let v(j) = 24*j**2 + j - 7. Let p(b) = 23*b**2 - 6. Let o(i) = 4*p(i) - 3*v(i). Let h be o(-2). Round h to the nearest 10.
80
Let d = 0 + -3. Let r be (0 + 19750/d)*-12. What is r rounded to the nearest 10000?
80000
Let l = -123 - -124.73. What is l rounded to one dp?
1.7
Let c = 1.61 + 0.13. Round c to the nearest integer.
2
Let a = -0.03 + 4.83. Let b = -5 + a. Let l = b - -1.4. Round l to 1 dp.
1.2
Let r = -0.55 - -7.65. What is r rounded to the nearest 10?
10
Let b = 49.5 - 38. Let d = 11.5000098 - b. What is d rounded to six dps?
0.00001
Suppose 5*y = -f + 13, 0 = -f + 2*f - 3*y + 3. Let m be (-744)/(-10) - (-9)/15. Let p be 60000/((f/m)/1). What is p rounded to the nearest 1000000?
2000000
Let z(o) = 23*o**2 + 2*o - 4. Let a be z(-6). Let g = 53 - 51. Suppose -8 = g*p, 3*p = -v + 3*v - a. What is v rounded to the nearest one hundred?
400
Suppose 2*s = 1 - 3. Let f = 71 + s. Let l be 250*((2 - 0) + f). Round l to the nearest 10000.
20000
Let c = -1 + 1.175. Let t = 0.033 - c. Round t to 2 dps.
-0.14
Let o = 1 - 6. Let k = -0.00247067 + -4.99752973. Let x = o - k. What is x rounded to 7 dps?
0.0000004
Let m(y) = 14*y - 6. Let z(n) = -n**3 - 4*n**2 + 3*n + 6. Let c be z(-4). Let a = 11 + c. Let f be m(a). What is f rounded to the nearest 10?
60
Let q = -3620795.00061 + 3620764. Let b = -31 - q. Round b to 4 decimal places.
0.0006
Let b = -0.7 - -0.1. Let v = b + 0.61. Let o = 4.89 + v. Round o to zero dps.
5
Let p = -35.0164 + 35. What is p rounded to 3 dps?
-0.016
Let o = -4.3999962 + 4.4. Round o to 6 decimal places.
0.000004
Let x = 2.5 - 2.49915. What is x rounded to four dps?
0.0009
Let l = -150 + 150.000378. Round l to five dps.
0.00038
Let c = 0.2 + -0.177. What is c rounded to three decimal places?
0.023
Let r = -0.0740083 + 0.074. What is r rounded to six dps?
-0.000008
Let s = 1.4000152 + -1.4. What is s rounded to 6 decimal places?
0.000015
Suppose 16967841 - 374437 = -b + 3*c, -4*b - c = 66373629. Let t = -10193407 - b. What is t rounded to the nearest one million?
6000000
Let l = 291.99999742 - 292. What is l rounded to 6 dps?
-0.000003
Let u = -107.3 - 391.7. Let j = 503.71 + u. Let c = 0.51 - j. What is c rounded to zero decimal places?
-4
Let d(c) = 75149*c. Let v be d(-1). Let k = 521971 + v. Let n = 123178 + k. Round n to the nearest one hundred thousand.
600000
Let p = -74401.40063 + 74401. Let v = 0.399 + p. What is v rounded to 4 decimal places?
-0.0016
Let s = 0.6 + -0.5999584. Round s to five dps.
0.00004
Let p = -25 + 25.09. Let j = 0.0899874 - p. Round j to 6 decimal places.
-0.000013
Let c = 15 - 15.7. Let r = c - -0.94. Let l = r + -0.2400011. Round l to six decimal places.
-0.000001
Let h = -8 - -43. Let d = h - 40.9. Let m = d + 6.89. What is m rounded to 1 dp?
1
Let f = 0.446 - 0.445751. Round f to 4 decimal places.
0.0002
Let b = 0.13561 + -0.135. What is b rounded to 4 dps?
0.0006
Let j be (13 + (1 - -2))*1444. Suppose 3*o - j = q - 209099, 247985 = -4*o + 3*q. Round o to the nearest 10000.
-60000
Let o = -23100 - -40577. Suppose -3*g - o = -3077. What is g rounded to the nearest 1000?
-5000
Let s = 12 - 7. Suppose -5*h - 53225 = s*x, -13181 = 2*x + h + 8114. Let n = x + 5050. Round n to the nearest one thousand.
-6000
Let c = -8 - -7.88. Let k = -0.1199969 - c. Round k to six decimal places.
0.000003
Let f = 0.1006 - 0.071. Let m = 0.03 - f. Round m to three dps.
0
Let q be 1*-4 + (3 - 11711)/(-2). Round q to the nearest 1000.
6000
Let o = 9.099947 - 9.1. Round o to five dps.
-0.00005
Let a = -6.05 - -6. Let z = 2.95 - a. Let x = z - 3.00004. What is x rounded to 4 decimal places?
0
Let d = -0.162 - -0.1619797. Round d to six decimal places.
-0.00002
Let q = 15 + -14.724. Let m = 0.37 - q. Let k = m + -0.564. What is k rounded to one dp?
-0.5
Suppose -21000020 = 3*c + 5*s, -c + 5*s - 34999980 = 4*c. What is c rounded to the nearest one million?
-7000000
Let i = 29.00085 - 29. What is i rounded to four decimal places?
0.0009
Suppose 0 = f + f - 6. Suppose 0 = h + f*p - 16, 2*p = 4*h + 28 - 148. Round h to the nearest ten.
30
Let y = 2.1 - 2.1000011. Round y to six dps.
-0.000001
Let x = 5018736.77 - 5018692.7700083. Let p = 44 - x. Round p to 6 dps.
0.000008
Let h = 168.103 - 65.197. Let f = 103 - h. Round f to 2 dps.
0.09
Let i be (3/4)/((-3)/444). Let f = i + 183. Let m be (2500/(-6))/(3/f). What is m rounded to the nearest 10000?
-10000
Let z = -0.129 - -0.032. Let o = z - 0.493. What is o rounded to 1 dp?
-0.6
Suppose 5*p - 675 = 550. Suppose 0 = 5*v + 4245 - p. Round v to the nearest one thousand.
-1000
Let r = 348.4659366 - 225.46593751. Let i = -123 + r. What is i rounded to 7 dps?
-0.0000009
Let j = -144 - -143.907. Let f = -15.293 - j. Let d = 3.8 + f. What is d rounded to 0 dps?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*d**5 - 7*d**5 + (-16 + 8 + 3*d**4 + 2)*(d + 5*d - 18*d).
-32*d**5 + 72*d
Expand (107 - 693 + 3978 - 784 + 2688)*(-1 - 2*n + 1).
-10592*n
Expand (-1 + 1 - 1)*(-3 + 2 - 1)*(537*j + 1554*j + 527*j + (-1 - 1 + 1)*(-j + 0*j + 0*j) + j - 3*j + 3*j).
5240*j
Expand (3*f + 0*f + 2*f)*(1 - 1 + 2) + 3535 - 3535 + 13*f.
23*f
Expand 16*s**5 - 20*s**5 + 14*s**5 + (-271*s**3 + 4*s**3 - 301*s**3)*(-5 + 2*s**2 + 5).
-1126*s**5
Expand (-v**2 - 4*v**2 + 3*v**2)*(-2*v - 4*v + 7*v) - 2299*v**3 + 743*v - 743*v + v**3 + 3*v + 2*v**3 - v.
-2298*v**3 + 2*v
Expand -2*k**4 + 3*k**5 + 0*k**4 - 2*k**5 + (-288*k**4 + 637*k**4 + 3*k**3 + 22*k**4)*(-2*k + 3*k + 0*k) + (5*k**4 + k**4 - 4*k**4)*(-k + 5*k - 2*k).
376*k**5 + k**4
Expand (-8 + 8 + 3*b**2)*(3*b - 4*b + 3*b) + 0*b**3 + 3*b**3 - 2*b**3 - 829*b + 27*b**3 + 829*b.
34*b**3
Expand 3*n**4 - 2296*n**2 + 15*n + 2296*n**2 + 3*n**4 + 2*n**4 - 6*n**4 + (0 + 0 - n**3)*(-3*n + 5*n + 0*n) + 4*n**4 + 0*n**4 + 0*n**4.
4*n**4 + 15*n
Expand (-2*q**2 - 3*q**4 + 2*q**2)*(66 + 113 - 20)*(0*q + 0*q + q).
-477*q**5
Expand (0 + 0 - 2)*((-10 - 4 - 35)*(-42*f - 28*f + 30*f) + 0 + 0 - 2*f).
-3916*f
Expand (0*m + 5*m + m)*(-2 + 5*m**2 + 7 - 6) + (1 + 3 - 2)*(5*m - 3*m**3 - 5*m) - 3*m**3 + m**3 + 3*m**3.
25*m**3 - 6*m
Expand (-1 + 2 + 1)*(3*w - 4*w + 0*w) + 14178*w + 232080 - 232080.
14176*w
Expand -12*y**5 - 21*y**5 - 20*y**5 + (2*y**5 - 4*y**5 - y**5)*(3 + 0 + 1)*(3 - 2 + 0).
-65*y**5
Expand ((135 - 55 - 316)*(-3*t + 0*t + 5*t) - t - t + 0*t + 2*t + 0 + 0)*(0*t**2 + 2*t**2 - 5*t**2)*(0 - 2*t**2 + 0).
-2832*t**5
Expand (-18 + 35 - 16 + 4*z)*(z - 2*z - z + 3*z - z + z + (1 - 1 + 2)*(0*z + 2*z - 3*z) + z - 4 + 4 + 4*z - 5*z + 2*z).
4*z**2 + z
Expand (0*o - 2*o + 0*o)*(0*o + 5*o + o) + (-2*o + 2*o + 3*o**2 + (1 - 2*o - 1)*(-2*o + 0*o + 3*o))*(-4 - 2 + 3).
-15*o**2
Expand (-4*z + 5*z + 0*z)*((9 - 1 + 16)*(0 + 5 - 4) + (-4 + 6 + 4)*(-3 + 2 + 4)).
42*z
Expand (-f**2 - f + f)*(f**2 - 4*f**2 - 5*f**2 + (2*f**2 + 0*f**2 - 3*f**2)*(-4 - 3 + 5) - f**2 + 2*f**2 + f**2) + (2 + 1 + 0)*(3*f**4 + 3*f**4 - 4*f**4).
10*f**4
Expand (-422 + 138 + 189)*(5 + 3 - 4)*((2 + 3*r - 2)*(-3 + 1 + 1) - 2*r + 6*r - 3*r).
760*r
Expand ((-4 + 3 + 6)*(3 - 1 - 3) - 9 + 5 - 2)*(m - 6*m - 9*m).
154*m
Expand (4*s + 14*s - 38*s)*(3*s**2 + 0*s**2 + 2*s**2) + (2*s - 2*s + s)*(10 - 8*s**2 - 10) - 25*s**2 + 25*s**2 + 5*s**3.
-103*s**3
Expand -o + 0*o + 3*o + 3*o - o - 4*o + (0 + 1 + 0)*(-2*o - 1 + 1) + 2*o - 2*o - o - 3*o - 3*o - 16*o + 42*o - 19*o + 19*o.
17*o
Expand 78 - 55*s + 95 + 43*s + (0 - 2 + 4)*(s + 3*s - 5*s).
-14*s + 173
Expand (1 - 1 - 2*w)*(-3 + 3 + w) - w**2 + 6*w**2 - 4*w**2 + (154 - 72 - 126)*(w**2 - w**2 + 2*w**2).
-89*w**2
Expand (121 + 136 - 217)*(8*y**3 + 17*y**3 + 25*y**3 + 1).
2000*y**3 + 40
Expand (-150*g + 20*g + 10*g)*(7 - 13 + 5).
120*g
Expand (-2*d + 6*d - 2*d)*(-107 - 59788*d + 295 - 95 - 93).
-119576*d**2
Expand (-82 - 37 + 35)*(-4131 + 88*q + 4131).
-7392*q
Expand (59*i**3 + 2*i**3 - 136*i**2 - 62*i**3)*(0 + 3 + 2)*(-1 + 2 - 11) + (3*i**2 + 0*i**2 - 4*i**2)*(-2*i + 4*i - i).
49*i**3 + 6800*i**2
Expand 2*j**5 + 2*j**5 - 3*j**5 - 2*j**5 + 2*j**5 + 2*j**5 + (-j + 2*j + 0*j)*(-j**4 - j**2 + j**2) + 1505191*j**3 + 2*j**5 + 59*j**2 - 3*j**5 - 1505209*j**3.
j**5 - 18*j**3 + 59*j**2
Expand 11 - 11*g**2 - 3 + 4*g**2 - g + 0*g + 0*g + g**2 + (2 - 1 - 3)*(10*g**2 - 17 + 17).
-26*g**2 - g + 8
Expand (-279 - 207 - 10)*(-2*d + 5*d**3 - 5*d**3 + d**4 + (-d**4 - d**2 + d**2)*(0 + 2 + 0)).
496*d**4 + 992*d
Expand (-45*z**2 - 119*z**2 + 36*z**2)*(2 - 3 - 1) + 6 - 2*z**2 - 6 + (-z + 0*z + 3*z)*(3*z - 6*z - z).
246*z**2
Expand (-34*
|
{
"pile_set_name": "DM Mathematics"
}
|
r) = r**3 + 6*r**2 + 2*r + 3. Let x(b) = b**3 + b**2. Let j(m) = -h(m) + 2*x(m). Determine j(5).
12
Suppose -7*u + 91 = 84. Let z(k) = 4*k**3 + k**2 - 1. Determine z(u).
4
Let t be ((-24)/2)/(-2)*7/21. Suppose -5*u + c = 0, t*c = 3*u + 7*c - 28. Let v(x) = -27*x + 1. Calculate v(u).
-26
Let b(i) = i + 1. Suppose 27*t - 10 = 17. Calculate b(t).
2
Let v(f) be the second derivative of 2*f + 1/2*f**2 + 7/6*f**3 + 0. Let g = 55 + -56. Calculate v(g).
-6
Let l(a) be the first derivative of -a**4/4 - a**2/2 + 12*a - 55. Calculate l(0).
12
Let l(v) = -v**3 + v - 14. Let f be 8/12 - (30/9)/5. Give l(f).
-14
Let a(y) = -3*y - 8. Let w(f) = -7*f - 14. Let h(g) = -5*a(g) + 2*w(g). Let o be h(-1). Let i(b) = -b**2 + 12*b - 6. What is i(o)?
5
Let b(h) be the second derivative of h**4/12 - 4*h**3/3 + 15*h**2/2 + 955*h. Determine b(7).
8
Let r(y) = -y**2 - 2*y - 1. Let a(b) = b**2 - 5*b + 16. Let q(m) = -a(m) - 4*r(m). What is q(-5)?
-2
Suppose 6 = -4*u + 3*g, 0 = -3*u + 4*g - 2 - 6. Let s(w) = w**2 + w - 21. Give s(u).
-21
Let j(f) = -3*f + 17. Let l be (-6)/14 + 992/224. What is j(l)?
5
Suppose 2*y + 0*z = 4*z - 10, z + 56 = -4*y. Let j(v) = 19*v - 17. Let t(a) = 9*a - 8. Let g(p) = y*t(p) + 6*j(p). Give g(5).
-13
Let a(v) = 3*v**2 - 3*v + 3. Let b be (3/(-1))/((-6)/10). Suppose -5*m = b*n - 3*m + 6, -n + 4*m + 12 = 0. Suppose -6 = -3*k - n. Determine a(k).
9
Let w(m) = m**2 + m. Let u = -29 + 30. Let n(b) = 5*b**2 + 6*b + 3. Let r(i) = u*n(i) - 4*w(i). Calculate r(-2).
3
Let b(j) = -3*j + 4. Let k be b(0). Suppose 0*m + k = m - c, 6 = -2*c. Let g(h) = 9*h**2 + 2*h - 1. Calculate g(m).
10
Let q(a) be the third derivative of a**4/12 + 3*a**3/2 - 426*a**2. Let f be (-1)/4 - 54/8. Determine q(f).
-5
Let k(s) = -5*s + 42. Suppose -b - 29 = -4*o - 5, 23 = 5*o - 3*b. Let t be k(o). Let h(q) = -q**2 + 5*q + 1. Give h(t).
-13
Suppose v + 0*j - 9 = 2*j, 4*j = 3*v - 19. Suppose -4 + 0 = -y. Let b(m) = y*m + m + 7 - 8 + m. Give b(v).
5
Let j = 415 + -418. Let m(u) = -2*u**3 + 5*u**2 - 5*u - 3. Let l(x) = x**3 - 4*x**2 + 5*x + 3. Let q(b) = 3*l(b) + 2*m(b). What is q(j)?
-3
Let j(y) = y**3 + 5*y**2 - 6*y - 9. Let v be ((-333)/2)/3 - 69/46. Let q = 51 + v. Determine j(q).
-9
Let b(j) = j**3 + 6*j**2 + 2. Let v be b(-6). Suppose -3 = -i - v*i. Let a(g) = -g - 1. Let y(c) = 3*c + 3. Let s(t) = 2*a(t) + y(t). Determine s(i).
2
Let x = -3309 - -3286. Let j(q) = -q**3 - 22*q**2 + 21*q - 42. Calculate j(x).
4
Let w(n) = -n + 2. Let l = -4 - -6. Suppose 3*d - 5*h = -2*d - 15, l*d - 3*h = -6. Determine w(d).
5
Let x(g) = -3*g**2 + 16*g**2 + 0*g**2 + 2*g - 1. Suppose -6 = 3*o, -8*n = -6*n - o - 4. Give x(n).
14
Suppose 4*m - 2*i + 80 = -m, 5*m + 80 = 3*i. Let s = m - -16. Let f be (0 - (3 - s)) + 4. Let u(a) = 5*a**3 + 1. Give u(f).
6
Let s(v) be the first derivative of v - 11. Let y(i) = 2*i + 2. Let c(u) = 5*s(u) - y(u). Give c(3).
-3
Let h(n) be the first derivative of 7*n**4/4 - n**3/3 + 49. Let r(q) = q. Let s be r(1). Calculate h(s).
6
Let q(c) = -c**2 + 10*c - 1. Let l = -447 + 456. Calculate q(l).
8
Let o(i) = -i**2 + 12*i - 4. Let u = 8 - -4. Let b be o(u). Let w(h) = -2*h**2 - 4*h - 3. Determine w(b).
-19
Let s(n) be the third derivative of 0 + 1/8*n**4 + 1/10*n**5 - 14*n**2 + 1/120*n**6 + 0*n + 7/6*n**3. What is s(-6)?
-11
Let u = 19 - 13. Let p(b) = -b**2 + 4*b - 4. Let k(d) = -d**2 + 4*d - 4. Let g(q) = -4*k(q) + 3*p(q). Let w(j) = -1. Let z(i) = g(i) - 2*w(i). What is z(u)?
18
Let y(n) = n**2 + 2*n - 3. Let z be y(2). Let f(t) be the second derivative of t**3/6 - t**2 - 368*t. Give f(z).
3
Let d(o) = -5*o**2 + 18*o - 3. Let q(v) be the second derivative of -v**4/6 + v**3 - v**2/2 + 47*v. Let i(m) = 3*d(m) - 8*q(m). Determine i(-5).
-6
Let v be 4/(-5)*(-1 + 6). Let q(t) be the first derivative of -5/2*t**2 - t + 6 - 1/3*t**3. Determine q(v).
3
Let a(t) be the second derivative of t**5/20 - 2*t**4/3 - t**3/6 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ve q.
-294
Rearrange -172 - 547*a**2 - 562*a**2 + 1106*a**2 to the form u*a + x*a**2 + b and give x.
-3
Express -3*w - 39 - 435 + 16*w - 14*w - w in the form i*w + q and give i.
-2
Rearrange -m - m + 0*m + (-416*m + 0*m + 144*m)*(0 - 4 + 1) to the form g + d*m and give d.
814
Express (3*h + 0 + 0)*(-70 - 76 + 56)*(h - h**3 - h) as t*h + j*h**3 + g + i*h**2 + c*h**4 and give c.
270
Express (10 - 10 + 9*r)*(2*r + 3*r - 3*r + (0 - 2 + 0)*(3*r - 7 + 7)) + (2 - 1 - 4)*(-2*r + 2*r + r**2) in the form m + d*r + n*r**2 and give n.
-39
Express (3 + 1 - 6)*(-2 + 2 - 2*h) + 0*h + 3*h - 4*h + 3*h + h - 3*h - 626 in the form a*h + n and give n.
-626
Express (2*r**2 - 3*r + 3*r)*(-15*r + 10*r + 36*r)*(5 - 2 + 0)*(3 + 1 + 2)*(-5*r + 2*r + r) as m*r + l*r**3 + u*r**4 + d*r**2 + o and give u.
-2232
Rearrange (-712*k**2 + 56*k**2 - 280*k**2)*(0 - 2 + 1) to the form b*k + y + w*k**2 and give w.
936
Express (-4*z**2 + 13*z**2 - 2*z**2)*(27 - 5 - 4) in the form x*z**2 + l*z + s and give x.
126
Rearrange 2344*v - 522*v + 652*v to the form t + i*v and give i.
2474
Express -92*i - 2*i**2 - 2*i**2 + 2*i**2 - 2*i**2 + 4 + 6*i**2 in the form x*i + g*i**2 + d and give d.
4
Express -124*f + 13*f + 17*f - 2 as z*f + w and give z.
-94
Express 2*i**4 - 34 + 4*i**2 - 40 - 2*i**3 + 77 + 0*i**4 as u*i**4 + b + o*i + f*i**3 + w*i**2 and give o.
0
Express 2 + 4*s**2 + s**3 + 12*s - 9*s - 4 in the form h*s**2 + x + q*s + f*s**3 and give q.
3
Rearrange 0 - 2*s**4 + 4*s**3 + 0 - 52*s + 62*s to w*s**2 + x + y*s + o*s**4 + r*s**3 and give r.
4
Express (-2*c + 2*c + 2*c)*(0 + 0 - 5)*(-2 + 0 + 4)*(-13 - 6 - 28) as p*c + i and give p.
940
Rearrange -413*o**2 + 474 - 828*o**2 - 225 - 247 to w + b*o**2 + s*o and give b.
-1241
Rearrange -1237*n + 24*n - 898*n - 411*n - 9*n to q + z*n and give z.
-2531
Express (-60*n + 28 + 62*n - 101)*(-2*n**2 + n**2 - 3*n**2) as l + x*n + a*n**2 + w*n**3 and give w.
-8
Rearrange -328*v**2 - 166*v**2 + 36*v**2 + (2*v + 2*v - 3*v)*(-2 + 5 - 1)*(4*v + 0*v - 7*v) to u + l*v + z*v**2 and give z.
-464
Express -41 + 201*i - 34 - 44 + 117 as d*i + r and give r.
-2
Express (9 + 15*n + 20*n - 39*n)*(n - 2*n + 6*n) as g*n**2 + h + y*n and give y.
45
Express (-748*i + 24*i**3 + 748*i)*(-4 + 10 + 4 + 4 - 6 + 1 + (-3 - 3 + 4)*(2 + 1 - 2)) as m*i + v*i**2 + q + r*i**3 and give r.
168
Rearrange (u**3 - 23 - 30 + 49)*(1 - 10 + 2)*(-2*u + 2*u - u) + 5*u**4 + 2*u**4 - 5*u**4 to the form q*u**4 + v + z*u**3 + x*u + o*u**2 and give v.
0
Rearrange 5*n**4 - 8*n - n**2 - 7*n**4 + 2*n**3 + 1 + 3*n**4 - 20*n to the form z*n**3 + c*n**2 + v*n + h + s*n**4 and give z.
2
Express 3*a**2 + 0 - a**2 - 12*a**3 + 25*a**3 + 1 - 2*a - 2*a**4 - 11*a**3 in the form y*a**4 + q*a + f + p*a**2 + o*a**3 and give f.
1
Express (-g + 0*g + 2*g + 2*g + 2*g - 2*g - g - 1 + 1 - 1 + 1 - 2*g + (0 + 2 - 1)*(g - 5*g + 2*g))*(5191 + 6*g - 5191) in the form a + x*g + t*g**2 and give t.
-12
Rearrange 573*b**2 - 1065 + 1065 to d*b**2 + u + s*b and give d.
573
Rearrange 7*w - 83 - 8*w + 65 to x*w + a and give x.
-1
Rearrange (21858*h**3 - 9840*h**3 - 11109*h**3)*(3*h - 3*h - h) + 0*h + 2*h**4 + 0*h to the form u + m*h**2 + a*h + p*h**3 + z*h**4 and give z.
-907
Rearrange -47*a**2 - 48*a**2 - a - 4 + 1 + 90*a**2 to f + s*a**2 + w*a and give s.
-5
Rearrange -5*j**4 + 175*j**4 + 436*j**4 + (-2*j**3 + 2*j**3 - 2*j**3)*(3*j + j - 2*j) to the form s + o*j**2 + p*j + h*j**3 + m*j**4 and give m.
602
Express (h - 2 + 2)*(9*h**2 + h**2 + 6*h**2) + 3*h - 2*h**3 - 3*h + 13*h**3 + 3 - 3 in the form b + n*h**3 + p*h**2 + w*h and give n.
27
Rearrange (t + 2*t - 7*t)*(17 + 6 + 1)*(4 - 1 - 1) to h + c*t and give c.
-192
Express (-2*c + 5 - 2*c + 2*c)*(6*c**3 - 14*c**3 - 120*c**3) as g*c + o + z*c**4 + s*c**3 + k*c**2 and give s.
-640
Express -2 + 3*u**3 + 125*u - 3*u**3 - 75*u + 2*u**3 + 149*u in the form o*u**3 + z*u**2 + i + b*u and give b.
199
Express (-57 - 40*d + 57)*(-14 - 13 + 0) in the form q*d + a and give q.
1080
Rearrange (0 - 3 + 4)*(22*b - 201*b - 291*b) + (-4*b + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
the next term in 1084, 1624, 2290, 3088, 4024, 5104, 6334, 7720?
9268
What is next in 24774, 99046, 222822, 396102?
618886
What is next in -67643, -67730, -67817?
-67904
What is the next term in 2317019, 4634038, 6951057, 9268076, 11585095, 13902114?
16219133
What is next in 15425465, 15425464, 15425461, 15425456, 15425449, 15425440?
15425429
What is next in -2888914, -5777849, -8666808, -11555791, -14444798?
-17333829
What is the next term in 512128, 1020975, 1529822, 2038669, 2547516, 3056363?
3565210
What is the next term in -1630, -6361, -14252, -25303?
-39514
What is next in -122359, -245970, -369593, -493234, -616899, -740594, -864325?
-988098
What is the next term in 312, 1323, 3032, 5463, 8640, 12587, 17328?
22887
What is the next term in -12730, -18448, -24166, -29884, -35602, -41320?
-47038
What comes next: 37793, 74012, 108661, 141740?
173249
What comes next: -2838, -5033, -6586, -7497, -7766, -7393?
-6378
What is next in 543634689, 1087269383, 1630904079, 2174538777, 2718173477, 3261808179?
3805442883
What is next in -575, -1458, -2307, -3104, -3831?
-4470
What is next in -726, -1404, -2378, -3642, -5190, -7016, -9114?
-11478
What comes next: -709, -905, -1187, -1519, -1865, -2189, -2455, -2627?
-2669
What is the next term in 8079441, 8079453, 8079467, 8079483, 8079501, 8079521?
8079543
What is next in 4216, 13749, 23282?
32815
What is the next term in 825457470, 825457468, 825457456, 825457428, 825457378, 825457300?
825457188
What comes next: 65990, 66025, 66090, 66191, 66334?
66525
What is next in 40618, 81068, 121518?
161968
What comes next: 146125, 292207, 438289, 584371, 730453, 876535?
1022617
What is the next term in -54827220, -54827222, -54827224, -54827226, -54827228, -54827230?
-54827232
What is next in 9856857, 19713702, 29570547, 39427392, 49284237?
59141082
What comes next: 2326, 2173, 2060, 1999, 2002?
2081
What is the next term in 2475, 8883, 19623, 34695, 54099?
77835
What is next in 330818, 661653, 992488?
1323323
What is the next term in 1428918, 5715704, 12860348, 22862850, 35723210?
51441428
What is next in 53547, 53509, 53451, 53373, 53275?
53157
What is next in 6672, 6683, 6686, 6675, 6644, 6587?
6498
What is next in 1957, 15589, 52527, 124405, 242857?
419517
What comes next: -704246, -704279, -704312, -704345?
-704378
What is next in 700006, 700010, 700024, 700054, 700106, 700186, 700300?
700454
What is the next term in 270899779, 541799558, 812699337?
1083599116
What comes next: -575, -444, -265, -68, 117?
260
What is next in 60233, 240916, 542055, 963650, 1505701, 2168208?
2951171
What is next in 265399, 531113, 796825, 1062535, 1328243?
1593949
What is next in -141783, -567435, -1276855, -2270043, -3546999, -5107723?
-6952215
What is next in -1842, -1805, -1768, -1731, -1694, -1657?
-1620
What is the next term in 2166423, 2166427, 2166433, 2166441, 2166451?
2166463
What comes next: 196, 2211, 5568, 10267, 16308, 23691, 32416?
42483
What is the next term in -44102, -43267, -41874, -39923, -37414?
-34347
What is next in -76815, -153649, -230491, -307341, -384199, -461065?
-537939
What is the next term in -153019, -612731, -1378907, -2451541, -3830627, -5516159?
-7508131
What is the next term in 19933, 19930, 19925, 19918?
19909
What is the next term in -712358, -1425020, -2137680, -2850338, -3562994, -4275648, -4988300?
-5700950
What is the next term in -126779, -126790, -126801, -126812?
-126823
What is the next term in 139, -54, -563, -1538, -3129, -5486?
-8759
What is next in -862874, -862815, -862664, -862379, -861918?
-861239
What comes next: -9374624, -9374629, -9374634, -9374639, -9374644?
-9374649
What is the next term in -7748602, -15497306, -23246010?
-30994714
What is next in -117396, -234873, -352350, -469827?
-587304
What is next in 8917, 10638, 12411, 14242, 16137, 18102, 20143?
22266
What is next in -4235, -4011, -3641, -3125?
-2463
What is the next term in 196073, 392054, 588035, 784016?
979997
What comes next: 26391, 53033, 79929, 107079, 134483, 162141?
190053
What is next in 12634133, 12634122, 12634097, 12634052, 12633981, 12633878, 12633737, 12633552?
12633317
What is next in 76029, 304306, 684749, 1217346, 1902085?
2738954
What comes next: 1145483, 1145618, 1145753, 1145888, 1146023?
1146158
What comes next: 123655, 494913, 1113777, 1980247, 3094323, 4456005, 6065293?
7922187
What is the next term in 5682, 5443, 5178, 4887, 4570, 4227?
3858
What is next in 90956, 90957, 90958, 90959?
90960
What is the next term in -180, -3209, -6238, -9267, -12296, -15325?
-18354
What is next in 3407577, 3407568, 3407559, 3407550, 3407541, 3407532?
3407523
What is next in -1509, -3066, -4677, -6348, -8085, -9894, -11781?
-13752
What is next in 46945, 94309, 141673, 189037?
236401
|
{
"pile_set_name": "DM Mathematics"
}
|
p**3/3 - 56*p**2. What is l(-8)?
6
Let v(l) = -2*l**3 + l**2 + l + 1. Let f be v(-1). Suppose -f*p = -6 - 6. Let x(o) be the first derivative of o**2/2 - 5*o + 1. Give x(p).
-1
Let k(n) = 4*n**2 - 2*n + 5. Let f(x) = 3*x**2 - 9*x + 4. Let p(c) = -c**2 - c - 1. Let d(m) = f(m) - 6*p(m). Let y(u) = 3*d(u) - 7*k(u). Give y(5).
-5
Let y(t) = t**3 - 2*t**2 - 4*t + 3. Let o(l) = -l**2 - 6*l + 3. Let h be (-1)/3 - (-2)/(-3). Let i be (h + -4)*42/35. Let r be o(i). Determine y(r).
0
Let r(b) = -5*b**2 - 2*b - 1 + 2*b. Suppose 5*d - 3 - 2 = 0. Determine r(d).
-6
Let p(x) = x**3 + 2*x**2 + x. Suppose -4*o - 8 + 4 = 0. Let w(z) = -2*z**2 + 1. Let m be w(o). Give p(m).
0
Let z(k) = 14*k**3 + 12*k**2 - 15*k + 3. Let y(q) = -5*q**3 - 4*q**2 + 5*q - 1. Let v(n) = -11*y(n) - 4*z(n). Let p be -2*(-4)/(-2) - 1. Calculate v(p).
-1
Let q be (7 - 4)*3/(-3). Let f(g) be the third derivative of 1/8*g**4 + 1/60*g**5 - 1/3*g**3 + 0*g + g**2 + 0. Give f(q).
-2
Suppose 4*t - m - 15 = 0, 37*t - 33*t - 4*m = 12. Let i = 10 + -6. Let k(p) = 3*p**2 - i*p**3 + p + 5*p - 4 + 3*p**3. Give k(t).
4
Let t(q) be the first derivative of 1/6*q**4 + 3*q + 1 + 3/2*q**2 - 5/6*q**3. Let g(p) be the first derivative of t(p). Calculate g(3).
6
Suppose -k + 4*k + 6 = 0. Let z(j) be the third derivative of j**6/120 + 75*j**2. Calculate z(k).
-8
Suppose 17 + 7 = 4*h. Let n = h + -1. Suppose 4*x + n*w + 41 = 0, 3*w + 23 = -2*x - 0*w. Let k(v) = 2*v + 3. Calculate k(x).
-5
Let x(k) be the second derivative of k**2 + 0 + 1/3*k**4 + 1/20*k**5 - k + 1/3*k**3. Suppose 2 - 8 = 2*w. Give x(w).
5
Let h(y) be the second derivative of -y**5/20 - y**4/2 - y**3/6 - 3*y**2/2 - 7*y. What is h(-6)?
3
Let w(g) be the third derivative of -g**6/720 + g**5/60 + 7*g**4/24 + 4*g**2. Let q(t) be the second derivative of w(t). Calculate q(6).
-4
Let l = 26 + -22. Let z(a) = -a**2 + 3*a - 5. What is z(l)?
-9
Let x(s) = -3*s - 1. Let v(j) = 2*j**2 + 21*j + 12. Let g(p) = -p**2 - 11*p - 6. Let u(t) = -11*g(t) - 6*v(t). Let b be u(-4). Determine x(b).
5
Let b(m) = -m**3 + m**2 - m - 1. Let r(g) = -5*g**3 + 10*g**2 - 11*g - 7. Let d(q) = -6*b(q) + r(q). Determine d(-5).
-1
Let u be -1*4 + (-18)/9. Let c(i) = 2*i + 4. Give c(u).
-8
Suppose 4*p = 5*a - 24, 4*a + 3*p = 5 + 8. Let x(n) = 4*n**2 - a*n**2 + 3*n**2 + n. Determine x(1).
4
Suppose -3*d + 6 + 0 = 0. Let z(p) = 3*p - p**d + 4*p - 6 + 2. Suppose -t - r - r + 1 = 0, 4*t = -4*r + 12. Determine z(t).
6
Let f(v) = -5*v**2 + v - 14. Let j(p) = p - p**2 - 3 - 3 + 3 + 2. Let t(l) = f(l) - 6*j(l). Determine t(6).
-2
Let u(h) = 4 + 0 + 0*h**2 - h**2. Suppose -2*c + 2*b - 14 = 0, 3*c + 15 + 5 = 2*b. Let m be 4/c + (-10)/3. What is u(m)?
-12
Let t be (8/(-14))/(2/(-7)). Let d(r) = -r**3 + t - 10*r + 3*r + 6*r**2 + 2. Let w be ((-1)/(-2))/((-4)/(-32)). Determine d(w).
8
Let x = 3 + -2. Let z = 4 + x. Let o(v) = -3*v + 7. What is o(z)?
-8
Let o(v) = v + 2. Let q(z) be the first derivative of -z**2/2 - z - 1. Let n(l) = 5*o(l) + 6*q(l). Calculate n(4).
0
Suppose 0 = 4*x - 20, -4*d + 8 + 19 = 3*x. Let m(p) = d + 6*p - 4 + 1. Calculate m(-1).
-6
Let t(q) = -2*q + 3*q + 2*q**3 - 1 + 6*q**2 - 3*q**3. Let r be t(6). Let p(d) = 4 + 2 - 1 - d. Determine p(r).
0
Suppose b - 5 = -4*j - 3, -5*b - 10 = 0. Let v(c) = 4*c**3 - 2*c**2 + c. Give v(j).
3
Let w(r) = -4 + r**2 + 1 - 6*r + 4. Give w(4).
-7
Let b(y) = -4*y + 1. Suppose x - 5*x + 60 = 4*p, 5*x - 67 = -3*p. Suppose t = 2 - x. Let u = -8 - t. What is b(u)?
-3
Let h = -21 - -37. Suppose 7 = 2*j - d, 2*j + 4*d - h = -j. Let u(w) = -3*w**3 - j*w**3 - w + 0*w. What is u(1)?
-8
Let m(q) = q**2 - 6*q + 3. Let k = 103 + -88. Let y(p) = p**3 - 7*p**2 + 7*p - 3. Let d be y(6). Suppose -d*l = -0*l - k. Determine m(l).
-2
Let j(b) be the third derivative of b**6/60 + b**5/60 - b**3/6 - 2*b**2. Give j(-1).
-2
Let k(h) = -h**2 + 7*h + 5. Suppose 20 = b - 3*d, 0 = b + 4*b - 2*d - 48.
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
-3*v**2
Collect the terms in 13 + 1205*z**2 - 13.
1205*z**2
Collect the terms in -449255*n**2 - 8*n**3 + 449255*n**2.
-8*n**3
Collect the terms in 28*t**2 - 13*t**2 - 17*t**2.
-2*t**2
Collect the terms in -218*y**3 - 3 + 25 - 22 + 220*y**3.
2*y**3
Collect the terms in -6*m - 13*m + 11*m.
-8*m
Collect the terms in -19*a - 13*a + 56*a - 12*a.
12*a
Collect the terms in 55*p - 50*p - 6*p.
-p
Collect the terms in -z**3 + 33*z**3 - 21*z**3.
11*z**3
Collect the terms in -180*f - 36 + 16 + 20.
-180*f
Collect the terms in 144 - 144 + 6*u**2.
6*u**2
Collect the terms in -4*z + 4*z - 32*z**2 - 13*z**3 + 11*z**3.
-2*z**3 - 32*z**2
Collect the terms in -j - j**2 + 11*j - 10*j + 0*j.
-j**2
Collect the terms in w**3 - w + w + 17 + 0*w**3.
w**3 + 17
Collect the terms in -67*g + 129*g - 73*g.
-11*g
Collect the terms in 18 + 8*b**2 - 10 - 8.
8*b**2
Collect the terms in 7 - k - 6 - 1.
-k
Collect the terms in -42*f**2 + 37*f**2 - 38*f**2.
-43*f**2
Collect the terms in 2*h - 3*h - h + 2*h + h**2.
h**2
Collect the terms in 1087 + 25*x - 2*x**2 - 1087.
-2*x**2 + 25*x
Collect the terms in -5*z**2 + 32 + 14 - 46.
-5*z**2
Collect the terms in -k**2 + 232*k - 114*k - 118*k.
-k**2
Collect the terms in 2997 - 2997 + 9*p**2.
9*p**2
Collect the terms in 9061*r**2 + 9065*r**2 - 18128*r**2.
-2*r**2
Collect the terms in -4*k - 2415630 + 2415630.
-4*k
Collect the terms in -1229*o**2 + 1229*o**2 + 3*o**3.
3*o**3
Collect the terms in -3*c**3 - 13*c**3 - 5*c**3.
-21*c**3
Collect the terms in -6*x**3 + 5*x**3 - 8*x**3 + 320*x**2 - 320*x**2.
-9*x**3
Collect the terms in -99*n**3 + 116*n**3 - n + n.
17*n**3
Collect the terms in -176717 + 176717 - 9*j**2.
-9*j**2
Collect the terms in -2*r**2 - 3*r**2 - 6*r**2 + 0*r**2.
-11*r**2
Collect the terms in 91*a**3 - 52*a**3 - 43*a**3.
-4*a**3
Collect the terms in -l + 3*l - 9*l - 3*l.
-10*l
Collect the terms in -2552 + 2552 - 5*l + 5*l - 18*l**3.
-18*l**3
Collect the terms in -77 + 10*x**3 + 77 + x**3.
11*x**3
Collect the terms in -5497 + 4*u**3 + 5497.
4*u**3
Collect the terms in 10*v**2 + 3*v**2 + 8*v**2.
21*v**2
Collect the terms in -9957*l + 9957*l + 2*l**2.
2*l**2
Collect the terms in -177*z + 84*z + 88*z.
-5*z
Collect the terms in 59*b**2 + 36*b**2 - 102*b**2.
-7*b**2
Collect the terms in -4 + 4 - 184*c + 0.
-184*c
Collect the terms in -96*p**2 - 4*p**2 + 7*p**2.
-93*p**2
Collect the terms in -j + 6*j - 3*j.
2*j
Collect the terms in -46*z + 16*z + 10*z + 12*z + 9*z.
z
Collect the terms in -2*x**3 + 2 - 4*x**3 - 1.
-6*x**3 + 1
Collect the terms in 1035*r**3 - 2072*r**3 + 1042*r**3.
5*r**3
Collect the terms in 5*z - 139*z**2 - 5*z.
-139*z**2
Collect the terms in 33*b**3 + b**2 - 32*b**3 - b**2.
b**3
Collect the terms in -i**2 + 27 + 22 - 5 - 8.
-i**2 + 36
Collect the terms in 24*p - 16*p + 23*p + 11*p.
42*p
Collect the terms in 8*u - 6*u**2 - 8*u.
-6*u**2
Collect the terms in 8 + 3*f + 2 - 2 + f.
4*f + 8
Collect the terms in -4*t**2 - 2*t**2 - 3*t**2.
-9*t**2
Collect the terms in 2*y + 4 - 33*y - 3*y.
-34*y + 4
Collect the terms in -7*f**3 + 4*f**3 - f**3.
-4*f**3
Collect the terms in -5 - 15 + 20 + 3*y**2.
3*y**2
Collect the terms in 2*a**3 - 3*a**3 + 3 - 3.
-a**3
Collect the terms in 0*m**3 - 2*m**3 - m**3 + m**3 + 417.
-2*m**3 + 417
Collect the terms in -488*h + h**2 + 488*h.
h**2
Collect the terms in 0 + 0 + 28*s**3.
28*s**3
Collect the terms in 17*w + 10 - 10.
17*w
Collect the terms in 756*p + 8 - 8.
756*p
Collect the terms in -36*h**2 + 84*h**2 - 24*h**2 - 26*h**2.
-2*h**2
Collect the terms in -1998*q**2 - 2005*q**2 + 4003*q**2 + 17*q**3.
17*q**3
Collect the terms in -54*q - 61*q + 171*q - 59*q.
-3*q
Collect the terms in -56*x**2 - 2*x**3 - x**3 + 56*x**2.
-3*x**3
Collect the terms in 8*k**3 - 35*k**3 - 55*k**3 + 16*k**3.
-66*k**3
Collect the terms in 5*n**2 + 3*n**2 - 159*n + 159*n.
8*n**2
Collect the terms in 6*b + 7*b + 9*b - 20*b.
2*b
Collect the terms in 7*u - 22*u + 12*u.
-3*u
Collect the terms in -2*r**3 + 2*r**3 + 57*r**2 - r**3.
-r**3 + 57*r**2
Collect the terms in -3622*t + 3 - 3.
-3622*t
Collect the terms in 16*b**3 - 35*b**3 + 26*b**3.
7*b**3
Collect the terms in -122*a**2 - 2*a**2 + 2*a - 2*a + 122*a**2.
-2*a**2
Collect the terms in -13*v
|
{
"pile_set_name": "DM Mathematics"
}
|
when 6368 is divided by 49.
47
What is the remainder when 1163 is divided by 245?
183
What is the remainder when 12324 is divided by 485?
199
Calculate the remainder when 3108 is divided by 87.
63
Calculate the remainder when 49062 is divided by 36.
30
What is the remainder when 16636 is divided by 2765?
46
Calculate the remainder when 352445 is divided by 18549.
14
What is the remainder when 5418 is divided by 106?
12
Calculate the remainder when 202873 is divided by 3687.
88
What is the remainder when 81403 is divided by 81395?
8
Calculate the remainder when 29012 is divided by 133.
18
What is the remainder when 6381 is divided by 1063?
3
Calculate the remainder when 457609 is divided by 7.
5
Calculate the remainder when 2461954 is divided by 5.
4
Calculate the remainder when 34790 is divided by 69.
14
Calculate the remainder when 5910 is divided by 2955.
0
What is the remainder when 5754 is divided by 1026?
624
Calculate the remainder when 1152 is divided by 563.
26
What is the remainder when 3331 is divided by 239?
224
What is the remainder when 2474 is divided by 16?
10
Calculate the remainder when 465654 is divided by 995.
989
Calculate the remainder when 85010 is divided by 40.
10
What is the remainder when 1042552 is divided by 141?
139
Calculate the remainder when 505 is divided by 15.
10
What is the remainder when 38500 is divided by 53?
22
Calculate the remainder when 34982 is divided by 2057.
13
Calculate the remainder when 1052512 is divided by 89.
87
Calculate the remainder when 34899 is divided by 198.
51
Calculate the remainder when 9426 is divided by 4703.
20
Calculate the remainder when 48265 is divided by 779.
746
Calculate the remainder when 8149635 is divided by 609.
606
Calculate the remainder when 30729 is divided by 30723.
6
Calculate the remainder when 67511 is divided by 174.
173
Calculate the remainder when 1444289 is divided by 22.
11
What is the remainder when 3652 is divided by 192?
4
What is the remainder when 841804 is divided by 42?
40
Calculate the remainder when 2358 is divided by 666.
360
What is the remainder when 111401 is divided by 6?
5
Calculate the remainder when 8180 is divided by 2619.
323
Calculate the remainder when 56025 is divided by 58.
55
Calculate the remainder when 2355 is divided by 256.
51
What is the remainder when 10286 is divided by 10?
6
Calculate the remainder when 5567 is divided by 2423.
721
Calculate the remainder when 447039 is divided by 214.
207
Calculate the remainder when 49542 is divided by 4936.
182
Calculate the remainder when 316 is divided by 239.
77
What is the remainder when 2633 is divided by 442?
423
Calculate the remainder when 271535 is divided by 421.
411
What is the remainder when 56649 is divided by 426?
417
Calculate the remainder when 43872 is divided by 237.
27
Calculate the remainder when 86960 is divided by 69.
20
What is the remainder when 1060 is divided by 517?
26
Calculate the remainder when 36341 is divided by 616.
613
Calculate the remainder when 27737 is divided by 49.
3
Calculate the remainder when 1303 is divided by 639.
25
Calculate the remainder when 159678 is divided by 181.
36
Calculate the remainder when 2048 is divided by 191.
138
What is the remainder when 652757 is divided by 2611?
7
Calculate the remainder when 6598 is divided by 926.
116
Calculate the remainder when 40681 is divided by 191.
189
What is the remainder when 97626 is divided by 123?
87
Calculate the remainder when 4211 is divided by 146.
123
Calculate the remainder when 2441 is divided by 1196.
49
What is the remainder when 26983 is divided by 1286?
1263
Calculate the remainder when 294599 is divided by 49095.
29
Calculate the remainder when 3498 is divided by 52.
14
Calculate the remainder when 169918 is divided by 960.
958
What is the remainder when 71314 is divided by 5938?
58
What is the remainder when 27403 is divided by 21?
19
What is the remainder when 36405 is divided by 18200?
5
Calculate the remainder when 1488 is divided by 41.
12
Calculate the remainder when 1524 is divided by 93.
36
Calculate the remainder when 4881 is divided by 103.
40
What is the remainder when 653 is divided by 10?
3
What is the remainder when 532044 is divided by 266001?
42
What is the remainder when 201 is divided by 23?
17
What is the remainder when 439 is divided by 122?
73
What is the remainder when 462313 is divided by 735?
733
Calculate the remainder when 370 is divided by 42.
34
What is the remainder when 11300 is divided by 26?
16
What is the remainder when 12953 is divided by 1288?
73
What is the remainder when 1975349 is divided by 325?
324
What is the remainder when 1972 is divided by 349?
227
What is the remainder when 95217 is divided by 180?
177
What is the remainder when 6105 is divided by 1397?
517
What is the remainder when 5194 is divided by 2592?
10
Calculate the remainder when 857 is divided by 84.
17
Calculate the remainder when 97088 is divided by 108.
104
Calculate the remainder when 2603 is divided by 2548.
55
Calculate the remainder when 154215 is divided by 521.
520
What is the remainder when 16689 is divided by 150?
39
What is the remainder when 3087 is divided by 512?
15
Calculate the remainder when 96468 is divided by 32123.
99
What is the remainder when 80565 is divided by 44?
1
Calculate the remainder when 13428 is divided by 433.
5
What is the remainder when 220415 is divided by 336?
335
Calculate the remainder when 1594351 is divided by 43.
40
What is the remainder when 27792 is divided by 83?
70
Calculate the remainder when 317319 is divided by 10942.
1
Calculate the remainder when 19700 is divided by 856.
12
What is the remainder when 11084 is divided by 168?
164
What is the remainder when 99712 is divided by 11?
8
Calculate the remainder when 17028 is divided by 4250.
28
Calculate the remainder when 22161 is divided by 33.
18
Calculate the remainder when 1309794 is divided by 67.
11
What is the remainder when 3665 is divided by 31?
7
Calculate the remainder when 878179 is divided by 15.
4
What is the remainder when 4962 is divided by 12?
6
What is the remainder when 7136 is divided by 122?
60
What is the remainder when 355840 is divided by 640?
0
Calculate the remainder when 153562 is divided by 67.
65
Calculate the remainder when 18875 is divided by 103.
26
Calculate the remainder when 1152 is divided by 341.
129
What is the remainder when 13953 is divided by 20?
13
Calculate the remainder when 3398 is divided by 297.
131
What is the remainder when 48693 is divided by 8?
5
Calculate the remainder when 175257 is divided by 138.
135
What is the remainder when 2340 is divided by 2279?
61
Calculate the remainder when 12031 is divided by 1374.
1039
What is the remainder when 96882 is divided by 112?
2
Calculate the remainder when 2037 is divided by 1988.
49
What is the remainder when 121677 is divided by 52?
49
What is the remainder when 9289 is divided by 38?
17
Calculate the remainder when 13319 is divided by 129.
32
What is the remainder when 52014 is divided by 103?
102
What is the remainder when 9841 is divided by 2442?
73
Calculate the remainder when 3789 is divided by 106.
79
What is the remainder when 216642 is divided by 17?
11
Calculate the remainder when 14256 is divided by 149.
101
Calculate the remainder when 67866 is divided by 606.
600
What is the remainder when 11561 is divided by 2838?
209
Calculate the remainder when 24493 is divided by 196.
189
Calculate the remainder when 132548 is divided by 69.
68
What is the remainder when 3022 is divided by 589?
77
Calculate the remainder when 436 is divided by 353.
83
Calculate the remainder when 1075 is divided by 373.
329
What is the remainder when 5978 is divided by 496?
26
Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
6*z - z - 285. What is the remainder when z is divided by 29?
28
Suppose 2*p + 14 = p. Let d(n) = -n**3 - 13*n**2 + 15*n + 16. Calculate the remainder when 3 is divided by d(p).
1
Suppose 4*w - 8 = -k, 0 = -4*k + 2*w + w + 13. Calculate the remainder when 14 is divided by k.
2
Let c(y) = y**2 - 8*y - 3. Let n be c(6). Let d be ((-250)/n)/((-2)/(-6)). Suppose 0 = -3*a + 10 + d. Calculate the remainder when 58 is divided by a.
18
Suppose -2*x - 5*v = -40, -x + 3*v - 22 = -2*x. What is the remainder when 27 is divided by x?
7
Suppose -6*h - 41 = -4*p - h, -p + 5*h - 1 = 0. Let k = 17 - 5. What is the remainder when p*-5*(-4)/8 is divided by k?
11
Let f be -4*(-6)/8*7. Suppose 4*o + f = v, -4*v - o - 2 = -1. Suppose 0 = -y + 27 - v. What is the remainder when y is divided by 9?
8
Let n(k) = -2*k**2 - 49*k - 12. What is the remainder when 20 is divided by n(-24)?
8
Suppose -5*q - 4*v + 71 = -v, -3*q + 51 = -v. Let k(o) = 10*o - 4. What is the remainder when k(5) is divided by q?
14
Let g(o) = 2*o - 12. Let c be g(8). Suppose 2 = -c*h + 14. Suppose 5*p + z - 17 = -0*z, h*z = -5*p + 11. What is the remainder when p is divided by 3?
1
Let k = 2 + 4. Let h = k + 23. Calculate the remainder when h is divided by 10.
9
Let z(t) be the first derivative of t**4/4 + t**3/3 + t**2/2 + t + 1. Calculate the remainder when ((-10)/(-4) + (-5 - -3))*4 is divided by z(0).
0
Calculate the remainder when 115/15 + 1/3 is divided by 3.
2
Let i = -6 - -10. Suppose 3*v = 4*x + 13, v + 0*v - 5 = x. Calculate the remainder when v is divided by i.
3
Let i be (-2)/(-3)*3/(-2). Let l(p) = 3*p**3 - p**2 - p + 1. Calculate the remainder when l(2) is divided by 7*(i + 0 - -2).
5
Suppose -12 = -t - 2*t. Suppose -107 = -t*h - 0*h - w, h = 5*w + 11. What is the remainder when h is divided by 9?
8
Let s(q) = q**3 - 6*q**2 - 5*q + 9. Let a be s(6). Let y = -8 - a. What is the remainder when 38 is divided by y?
12
Suppose -6*m + 2*m + 16 = 0. Suppose 15 = 5*s, -8 = -m*l - 0*l - 4*s. Calculate the remainder when l/1 + 39 - -2 is divided by 14.
12
Let y(w) = w**2 + 2. Let f(g) = g**3 - 5*g**2 - 2*g + 7. Let c be f(6). Let v = -14 + c. What is the remainder when v is divided by y(2)?
5
Suppose -1 = -4*x - 3*a, -2*a - 5 = -4*x + 21. Suppose x - 2 = z. Calculate the remainder when 3 is divided by z.
1
Let u = 54 + -42. Let y(c) = -c**3 + c + 14. Let q be y(0). Suppose -2*w = 2*t - u, -t + q = 3*w - 6*w. What is the remainder when 21 is divided by t?
5
Let p be (0 - 0)*(-1 + 0). Suppose -5*k - 106 - 99 = p. Let m = -17 - k. Calculate the remainder when m is divided by 13.
11
Let r(m) = -m**3 - 7*m**2 + 9*m + 10. Let p be r(-8). Suppose 9 = i - u, 3*i - p*u = 10 + 21. What is the remainder when 38 is divided by i?
12
Suppose 68 = 3*m + 5*v - v, 3*m = 2*v + 92. Calculate the remainder when 81 is divided by m.
25
Let u = 18 - -1. Calculate the remainder when u is divided by 7.
5
Suppose 7*b = -49 + 623. Calculate the remainder when b is divided by 21.
19
Suppose 4*b - 33 - 87 = 0. Calculate the remainder when b is divided by (-9)/((-108)/80)*(-48)/(-20).
14
Let g = 0 - 0. Suppose g*s - 5*s + 11 = q, -4*s + 3*q = -5. Suppose -3*v + 45 = s*v. Calculate the remainder when 33 is divided by v.
6
Suppose 68 = 3*v - 2*i - 57, 0 = v - 2*i - 35. Calculate the remainder when v is divided by 16.
13
Suppose -3*b - b + 68 = 0. Let o(g) be the second derivative of g**5/20 - 7*g**4/12 + g**3/6 - g**2 + g. What is the remainder when b is divided by o(7)?
2
Let c(j) = -5*j - 2. Let s(q) = -3*q**2 - 2*q + 1. Let b be s(1). What is the remainder when c(b) is divided by 10?
8
Suppose -2*y = -15 - 27. Calculate the remainder when y is divided by -7 + -7 + 4 + 21.
10
Suppose -5*s + 570 = 120. Calculate the remainder when s is divided by 31.
28
Suppose 3*r - 4*a - 259 = -2*r, -r - 4*a + 71 = 0. What is the remainder when r is divided by 15?
10
Suppose -n + 1 = -6. Let x = -3 + n. Suppose 21 = i - 3*l, x*l + 0 + 38 = 3*i. Calculate the remainder when i is divided by 2.
0
Let c = -25 - -27. Suppose -4*r + 82 = -2*n, r + n = -c*r + 59. Calculate the remainder when r is divided by 12.
8
Let p(m) = m**3 - m**2 - 8*m + 14. Calculate the remainder when p(4) is divided by 9.
3
Suppose 0 = x - 2*j - 13 - 8, 0 = 2*x + 5*j - 24. What is the remainder when 67 is divided by x?
16
Let w be -3*(-2 + 20/6). Let x = -2 - w. Suppose 4*p - b = -x*b + 79, -4*p - 4*b = -76. Calculate the remainder when 58 is divided by p.
18
Let h(k) = k**3 - 2*k**2 - 4*k - 3. Let c = 14 + -10. Calculate the remainder when 36 is divided by h(c).
10
Suppose 10 = 2*y, 0*i + 2*i = -y + 55. Calculate the remainder when 49 is divided by i.
24
Let r = 5 + 0. Suppose 2*x + 5 = 5*u, 2*u + r*x = 5 + 26. Suppose -2*s + 9 + u = 0. What is the remainder when s is divided by 4?
2
What is the remainder when 49 is divided by 234/24 + 1/4?
9
Let o = 6 + -3. Let r(t) = t + 9. Let m = -2 - 2. Calculate the remainder when r(m) is divided by o.
2
Let b = -23 - -37. What is the remainder when 40 is divided by b?
12
Suppose -99 = -2*k - 3*y, -3*k - y = -7*k + 233. Let c(d) = -6*d - 21. What is the remainder when k is divided by c(-6
|
{
"pile_set_name": "DM Mathematics"
}
|
6
What is the derivative of 23193272*k**2*t*w**2 - k**2*w**2 + 2677222*t + w**2 wrt k?
46386544*k*t*w**2 - 2*k*w**2
What is the third derivative of 41122183*f**3 - f**2 + 99154*f - 19 wrt f?
246733098
What is the first derivative of -14199426*m**2 + 4*m + 343943625?
-28398852*m + 4
What is the second derivative of 238*c**4 + 18263*c**2 - 311*c - 2832?
2856*c**2 + 36526
Find the second derivative of -191*o**4 - 53*o**3 + 864*o**2 + 2934*o - 18073 wrt o.
-2292*o**2 - 318*o + 1728
What is the second derivative of 1507072*m**2*n + 3*m**2*x**3 + m*n*x**3 - m*n*x + 144*m*n + n*x**2 - 10662*n*x wrt m?
3014144*n + 6*x**3
What is the derivative of 530011*a*q**2 + 34*a*q + 46898805*q**2 wrt a?
530011*q**2 + 34*q
What is the third derivative of 16490573*m**3*y**3 + m**3*y**2 - 211*m**3*y + 3*m**3 - 8*m*y - 27*y wrt y?
98943438*m**3
Differentiate 51450104*g**4 - 3660354 wrt g.
205800416*g**3
What is the second derivative of -190890452*p**3*t**2 + 204244*p**3 - 726*p**2*t wrt t?
-381780904*p**3
Differentiate 142767*c**4 - 28*c**3 - 139548219 wrt c.
571068*c**3 - 84*c**2
What is the first derivative of -2*l**4 - 299*l**3 - 1222*l**2 + 3850452 wrt l?
-8*l**3 - 897*l**2 - 2444*l
Find the third derivative of 125156178*l**4 + 1280536584*l**2 wrt l.
3003748272*l
What is the second derivative of h**2*j**2 + 29*h**2 - 20*h*j**2 + 37253*j**2 + 2240081*j wrt j?
2*h**2 - 40*h + 74506
Find the second derivative of 541758118*x**2 - 40699*x + 1626 wrt x.
1083516236
Find the first derivative of 6098*j*l + 21614677*j - 1528*l - 3 wrt l.
6098*j - 1528
Find the third derivative of 12*l**6 + 64047*l**4 + 2*l**3 - l**2 + 815*l + 5835 wrt l.
1440*l**3 + 1537128*l + 12
Find the second derivative of -5834*d**2*p**2 - 1059*d**2*p - d**2 - 47*d*p + 4*d + 1511*p**2 + 4 wrt d.
-11668*p**2 - 2118*p - 2
What is the derivative of -a*b*i - 2*a*b*m - 63*a*b + 114*a*i*m - 2*a*i + 566375*b*i*m - 2*b*i - b - 2*i + 1271 wrt m?
-2*a*b + 114*a*i + 566375*b*i
What is the third derivative of 55041656*x**4 + x**2 - 16106576*x + 1?
1320999744*x
Find the second derivative of -313548507*b**5 + 166360478*b wrt b.
-6270970140*b**3
Differentiate -36*n**2 + 145070*n - 42519598 with respect to n.
-72*n + 145070
What is the derivative of -6454784*l - 4421371 wrt l?
-6454784
What is the third derivative of 120807952*f*q**2*x**3 + f*q**2*x**2 + f*q**2*x + 5*f*q*x**2 - 3*f*q*x + 13*f + 80*q**2*x**2 - x wrt x?
724847712*f*q**2
Find the first derivative of 3*m**3 - 5212*m**2 + 196*m + 154183099.
9*m**2 - 10424*m + 196
Find the first derivative of -714038*x + 603874543 wrt x.
-714038
Find the second derivative of -85194895*g**3 - 999278301*g.
-511169370*g
What is the third derivative of 5*w**5 + 674*w**4 + 73*w**3 - 72734*w**2 + 3*w + 14 wrt w?
300*w**2 + 16176*w + 438
What is the second derivative of 5351*y**5 + 196*y**2 + 30449942*y wrt y?
107020*y**3 + 392
What is the second derivative of 37554*i*n*r**2 - 2*i*n*r + 56*i*n - 4*i*r**2 + i*r - 9*i - 109 wrt r?
75108*i*n - 8*i
Find the first derivative of 4*y**3 - 2*y**2 + 44297*y - 29033579.
12*y**2 - 4*y + 44297
Find the third derivative of 25338137*j**6 - 10194*j**2 + 291.
3040576440*j**3
Find the third derivative of 43576*c*k**3*q - c*q + 2*k**4 - 1112*k**3*q + k**2*q - 6*k**2 + 347504*k*q + k wrt k.
261456*c*q + 48*k - 6672*q
Differentiate 503900445*l - 651580717 with respect to l.
503900445
Differentiate -23043998*z**2 - 2*z + 141070353.
-46087996*z - 2
Find the second derivative of 492*s**3*t**3 + 2*s**3*t - 3406*s**2*t**4 - 53*s*t - s + 231*t + 23 wrt t.
2952*s**3*t - 40872*s**2*t**2
Find the third derivative of 560623*x**6 - 2*x**5 - 6*x**3 + 18*x**2 + 5224*x + 19.
67274760*x**3 - 120*x**2 - 36
What is the second derivative of 15366063*n**4*t**3 + 2*n**2*t**3 - n*t**3 - 4*n + 23*t + 11861 wrt n?
184392756*n**2*t**3 + 4*t**3
What is the second derivative of 1217*b*c**2*z - 12*b*c**2 + b*c*z - 2*b*c + 2*b*z + 44*b + 399*c**2 - 423*c*z - z + 2 wrt c?
2434*b*z - 24*b + 798
What is the second derivative of -209952866*q*y**2 - 7*q*y + 20905065*y - 1 wrt y?
-419905732*q
What is the first derivative of -2*s*x**2 + s*x + 14062294*s + 231*x**2 + 806*x wrt x?
-4*s*x + s + 462*x + 806
Find the third derivative of -121819*j**5 + 6*j**4*y**2 + j**3 - 12*j**2*y + 161*j*y**2 - 7*j wrt j.
-7309140*j**2 + 144*j*y**2 + 6
What is the third derivative of 2*k**5
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + (4*j + 2*j**2 - 4*j)*(-6*j + 3*j + j) + 445 - 163*j**3 - 445 + 2*j - 2*j + j**3 to c*j**3 + z*j**2 + x + t*j and give z.
0
Express -3084*a + 2 - 2 + 5090*a + 1 - 1 + a + (-2 + 0 + 0)*(-1 + 1 - 2*a) in the form d*a + s and give d.
2011
Express -96*z - 17*z**2 + 96*z + 3*z**2 + 7 - 7 + (4*z + 2*z - 4*z)*(4 - 4 - z) + (-2 + 2*z + 2)*(-3*z + 0*z + 2*z) as x*z + p*z**2 + u and give p.
-18
Rearrange (-3*q**3 + q + 5*q**3 + 0*q)*(-1326 + 2068 + 3220 + 611) to the form p*q + x*q**2 + r*q**3 + t and give p.
4573
Express -426*h**2 + 837*h**2 - h - 442*h**2 in the form a + x*h + t*h**2 and give t.
-31
Express -1 + 2*d + 172*d + 15*d + 145*d - 2*d**3 as c + y*d + u*d**3 + t*d**2 and give c.
-1
Express (-1 + 1 + 4*x**3)*(-259 - 145 + 43 - 708 + 70) as l*x + p*x**3 + s + w*x**2 and give p.
-3996
Express 37*i + 1416*i - 197*i in the form j + n*i and give n.
1256
Express 546*q**3 - 1089*q**3 + 536*q**3 - 3*q**2 - 5*q + 4*q**2 as c*q + x*q**3 + b + k*q**2 and give k.
1
Express 15227 - 9*y**2 - 10*y - 15227 as d*y**2 + r + m*y and give m.
-10
Express 12 + 25*v - 12 + (-5*v - v + 4*v)*(-1 + 1 - 1 + (-2 + 4 + 0)*(0 + 1 - 3)) in the form i + q*v and give q.
35
Express -2*t**2 - 11 + 11 + (t**2 + 2*t**2 - 4*t**2)*(2 - 5 - 3)*(0 - 4 - 1) as d + l*t**2 + j*t and give l.
-32
Express 84*f - 336*f - 116*f as q + a*f and give q.
0
Express t**2 + 1 + t**2 - 2 + (-4 + 0 + 1)*(-3*t**2 + 2*t**2 - t**2) - 3*t**2 + 4*t**2 + 15*t**2 in the form u*t**2 + i + c*t and give u.
24
Express -39037*f**4 + 2 - 7 + 39031*f**4 + f**2 in the form h + l*f**2 + u*f**4 + t*f + y*f**3 and give h.
-5
Rearrange (2 - 4 + 4)*(0 + 3 - 4)*(75*r + 58*r - 2*r**2 - 1737 - 131*r) to the form j*r**2 + o*r + m and give o.
-4
Rearrange (6 - 5 + 3)*(-6*x + 3*x + x)*(2 + 4 + 1)*(0 - 1 - 3) to the form d*x + t and give d.
224
Rearrange g**2 + 2*g**3 - 8*g**2 - 17*g**2 + g**4 + 2 - g to the form z*g + m*g**4 + b + u*g**3 + y*g**2 and give b.
2
Rearrange (1 + 0 - 2)*(-56*t + 3*t**2 + 16 + 18 - 35) to k*t**2 + f*t + d and give f.
56
Express 11*y**3 - 6*y**3 + 1 - 5*y**2 - 2*y + 0 + 0 as a*y**2 + t*y + c*y**3 + v and give v.
1
Rearrange (-2 + 6 - 2)*(-4*a + 195 - 110 - 95) to the form n*a + p and give p.
-20
Rearrange (3 - 3 + 2*k)*(0*k - 3*k + 2*k + (6*k - k - 4*k)*(2 - 3 + 0) - 14 - 5*k + 14)*(-5*k + 2*k + k) to the form b*k**3 + n + a*k + z*k**2 and give a.
0
Express (2 - 7 - 6)*(126*j**2 + 352 - 352) as c*j**2 + t*j + m and give c.
-1386
Express 508*g + 804*g + 111*g + 514*g - 349*g in the form b + f*g and give f.
1588
Rearrange -2*f**2 - 1075*f**3 + 552*f**3 + 2*f**2 + 2 + 557*f**3 to the form x*f + q*f**2 + k*f**3 + m and give q.
0
Rearrange -29*q**4 - 26*q**4 - q**2 - 78*q**3 - 33*q**4 + 85*q**4 to w*q + n*q**2 + s*q**3 + z*q**4 + j and give s.
-78
Express (-16*v + 1 - 1)*(16 - 16 + 16) as f*v + l and give f.
-256
Rearrange 2*w**3 + 1 + 0 + 2 - 2*w - 2 - w**3 + 2*w + (2*w**2 + 0*w**2 - w**2)*(-2*w - w - 3*w) to z*w + t*w**3 + d*w**2 + n and give n.
1
Express 9*p**4 + 0*p**2 + 9*p**4 + 2*p**2 - 2*p + 10*p**4 + 1 - 41*p**4 + 2*p**3 in the form h*p**4 + z + o*p**2 + d*p + c*p**3 and give z.
1
Rearrange -25 + 10*g - 23*g**2 - 8*g - 2*g - 8 to h*g**2 + u*g + y and give h.
-23
Rearrange 6 - r + 2 - 10 - 3*r**3 to o + w*r + t*r**3 + u*r**2 and give w.
-1
Express 777700 + 514*i - 777700 in the form v*i + h and give v.
514
Rearrange (9 - 3 - 1)*(-3*c - 7*c - 3*c) + (5*c - 4*c + c)*(-3 + 2 + 3) to the form d + y*c and give y.
-61
Express (1 - 4 + 1)*(-7*r - 13*r - 4*r)*(0*r**2 - 2*r**2 - 2*r**2) as v + d*r**2 + j*r + u*r**3 and give u.
-192
Express (-1 + 1 - 2*m)*(0 + 19 - 4)*(m - 3*m + m) + (4 - 4 + 2)*(3*m**2 - 3*m**2 - m**2) in the form h + w*m**2 + b*m and give h.
0
Rearrange 194 + 0*i + 116 + 2*i + 317 to the form d + a*i and give a.
2
Rearrange 354*j + j**4 - 4*j**3 - j**2 + 3*j**3 - 353*j to the form l*j**4 + i*j**3 + d*j**2 + q*j + z and give d.
-1
Express (107 + 18*d - 107)*(2*d**2 + 5*d**2 - 4*d**2 + (-2 + 1 + 0)*(0*d**2 + 2*d**2 - 3*d**2)) in the form a*d + o*d**2 + w + t*d**3
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3
Put 4, -10, -2, 0 in decreasing order.
4, 0, -2, -10
Sort 10, 41, -6.
-6, 10, 41
Sort 5, -3, 29, 4, 12 in increasing order.
-3, 4, 5, 12, 29
Sort -4, 5, -2, -3, 21 in ascending order.
-4, -3, -2, 5, 21
Put 4, -19, -8, -3 in descending order.
4, -3, -8, -19
Put -3, -2, -291, -1 in decreasing order.
-1, -2, -3, -291
Sort 0, -5, 35, -1 in decreasing order.
35, 0, -1, -5
Sort 8, -5, 9, -2 in decreasing order.
9, 8, -2, -5
Sort 1, 8, 3 in decreasing order.
8, 3, 1
Sort -73, -2, -0.5, 0.1 in ascending order.
-73, -2, -0.5, 0.1
Sort -2, 2, -7, 28 in ascending order.
-7, -2, 2, 28
Sort 4, 22, -1/8, -5 in ascending order.
-5, -1/8, 4, 22
Sort -10/7, -3, 1 in descending order.
1, -10/7, -3
Sort 3, 0, 28 in increasing order.
0, 3, 28
Sort -2, 5, 51, -29.
-29, -2, 5, 51
Sort 4, -3, 0.3, 3/5 in descending order.
4, 3/5, 0.3, -3
Sort -1, 4, -148 in descending order.
4, -1, -148
Sort 4, 0.5, -5, 2.7 in ascending order.
-5, 0.5, 2.7, 4
Put -25, -1, 7 in decreasing order.
7, -1, -25
Put 4, -5, -14, -0.1 in decreasing order.
4, -0.1, -5, -14
Sort -0.4, 1/3, -13, -1/4 in descending order.
1/3, -1/4, -0.4, -13
Put 153, 4, 2 in increasing order.
2, 4, 153
Put 15, 9, -4, 1 in decreasing order.
15, 9, 1, -4
Sort 6, -0.3, -2/27, 0.5 in decreasing order.
6, 0.5, -2/27, -0.3
Put -2, 26, -5, -1 in increasing order.
-5, -2, -1, 26
Put 2, 0.2, 5, 312, -1 in increasing order.
-1, 0.2, 2, 5, 312
Put 3, 34, -2, -3, 4 in ascending order.
-3, -2, 3, 4, 34
Sort -5/3, -2, 0.09, -3 in decreasing order.
0.09, -5/3, -2, -3
Put 52, 0, 80 in ascending order.
0, 52, 80
Put 12, -1, -3, 4, -4 in increasing order.
-4, -3, -1, 4, 12
Put 1, -1, -6, 4 in descending order.
4, 1, -1, -6
Sort -1, 2, 6, -15, 3 in ascending order.
-15, -1, 2, 3, 6
Sort 2, -1, 1, -4.
-4, -1, 1, 2
Sort 285/7, 5/6, -1.5.
-1.5, 5/6, 285/7
Sort -3, 441, 3 in increasing order.
-3, 3, 441
Put 79, 2, 0, -3 in increasing order.
-3, 0, 2, 79
Sort -0.5, -1.7, -1/3, 8, 2 in increasing order.
-1.7, -0.5, -1/3, 2, 8
Put -499, 2, -4, 0, 3 in descending order.
3, 2, 0, -4, -499
Put 0, -5, -129 in decreasing order.
0, -5, -129
Put 3, -34, 0.1, 5/2 in descending order.
3, 5/2, 0.1, -34
Put 2/9, 23, 5, -2/11 in decreasing order.
23, 5, 2/9, -2/11
Sort -58, 3, -14 in decreasing order.
3, -14, -58
Put -5, -48, -3, -2 in ascending order.
-48, -5, -3, -2
Sort -2, 84, -4 in increasing order.
-4, -2, 84
Put 2, 6, -0.08, 1/2, -1 in descending order.
6, 2, 1/2, -0.08, -1
Put 18, -3, 2, 5, -4 in increasing order.
-4, -3, 2, 5, 18
Put 2/9, 0.5, -0.103, 12, -2/9 in decreasing order.
12, 0.5, 2/9, -0.103, -2/9
Sort -1, -449, -5 in descending order.
-1, -5, -449
Put 0, -5, 37 in descending order.
37, 0, -5
Sort 1/3, -21, -3, 0.01 in increasing order.
-21, -3, 0.01, 1/3
Put 0, -0.5, 1/3, -4, 0.1 in decreasing order.
1/3, 0.1, 0, -0.5, -4
Sort 60, 4, -4 in increasing order.
-4, 4, 60
Sort 2/3, 4, -7 in ascending order.
-7, 2/3, 4
Put 0, 2, 7, 3 in increasing order.
0, 2, 3, 7
Sort 1/13, -1/5, 0, 1/23 in decreasing order.
1/13, 1/23, 0, -1/5
Put 5, -0.21, 0 in decreasing order.
5, 0, -0.21
Put -2, 10, 1, -1 in descending order.
10, 1, -1, -2
Put -0.2, 4, 0.2, -1036 in decreasing order.
4, 0.2, -0.2, -1036
Sort 0, 4, 1, 9 in descending order.
9, 4, 1, 0
Sort -2, -4, 2/45, -1, -3/7 in ascending order.
-4, -2, -1, -3/7, 2/45
Put -5, 0, 76 in decreasing order.
76, 0, -5
Sort -9, -2, 0.1, 2/7.
-9, -2, 0.1, 2/7
Sort -0.1, -123, -1.
-123, -1, -0.1
Sort -1, 26, -4, 2, 0 in descending order.
26, 2, 0, -1, -4
Put -0.3, -2/5, 5/4, -10/9 in decreasing order.
5/4, -0.3, -2/5, -10/9
Put 1, -3, -1, 3 in descending order.
3, 1, -1, -3
Sort -4, 9, -5 in descending order.
9, -4, -5
Sort 105, -2, -0.4.
-2, -0.4, 105
Put 4, 2, -1, -217 in descending order.
4, 2, -1, -217
Put 1.5, -2, 0.4, 1 in decreasing order.
1.5, 1, 0.4, -2
Sort -1371, -3/4, 8 in ascending order.
-1371, -3/4, 8
Sort 1, -5, -16 in ascending order.
-16, -5, 1
Put -24, 56, 0 in descending order.
56, 0, -24
Sort -1, 2/7, 2/3, -150 in increasing order.
-150, -1, 2/7, 2/3
Sort 2, 0, -11, -4 in ascending order.
-11, -4, 0, 2
Put 3/4, 9, -2/11 in descending order
|
{
"pile_set_name": "DM Mathematics"
}
|
3*c + 8*c - 15 = -3*z, -3*c + 3*z = -9. Give c*h(y) - 4*r(y).
y - 3
Suppose l - 3*l - 2 = 0. Let s = l + -6. Let y(h) = -7*h**2 - 5*h - 7. Let k(z) = 10*z**2 + 7*z + 10. Give s*y(f) - 5*k(f).
-f**2 - 1
Let o(z) = -1. Let g(v) = v + 11. What is -g(i) - 4*o(i)?
-i - 7
Let o(u) = -9*u - 3. Let k(i) = 18*i + 5. Determine -2*k(x) - 5*o(x).
9*x + 5
Let s(v) = 3*v - 1. Let l(g) = -g. Let n be 10*(6/(-10) - -1). Suppose -5*i = 4 - 9. What is i*s(c) + n*l(c)?
-c - 1
Let q(g) = -g**2 + 3*g. Let m be (1 + 5)/((-6)/(-68)). Suppose -136 - m = -3*t. Suppose b + b = t. Let o(r) = 6*r**2 - 17*r. What is b*q(h) + 6*o(h)?
2*h**2
Let a(o) = 13*o + 7. Let l(q) = 4*q - 3*q - 10*q - 5. Calculate 5*a(w) + 7*l(w).
2*w
Let t(q) = -2*q**2 - 4. Let v(g) = g**2 + 5. Calculate 3*t(x) + 2*v(x).
-4*x**2 - 2
Suppose 5 + 5 = 3*o + m, -5*m - 25 = 0. Let v = -10 + o. Let p(i) = i - 4. Let a(l) = -4*l - l + 5 + 4*l. What is v*p(r) - 4*a(r)?
-r
Let h be -2 + 150/(-39) + (-2)/13. Let w(o) = 5*o - 6. Let s(z) = -30*z + 35. Calculate h*s(c) - 35*w(c).
5*c
Let d(s) = s + 1. Let r(p) = -7*p**2 - 7*p - 1. Let a(m) = -m**2 - m. Let c(x) = -6*a(x) + r(x). Let u = -41 - -42. Calculate u*d(j) + c(j).
-j**2
Let q(r) = 16*r**3 + 10*r**2 - 4*r - 10. Let o(m) be the second derivative of m**5/4 + m**4/4 - m**3/6 - 3*m**2/2 + m. What is 10*o(j) - 3*q(j)?
2*j**3 + 2*j
Let d(u) = -5*u**3 + 12*u**2 + u + 2. Let a(r) = 9*r**3 - 25*r**2 - r - 3. Determine 3*a(t) + 5*d(t).
2*t**3 - 15*t**2 + 2*t + 1
Let y be (0 + 1)/(-2)*-2. Let o(g) = 0*g + y + 0 + g. Suppose -5*x + 45 = 2*a, -x + 5*x = -2*a + 40. Let f(z) = -3*z - 2. What is a*o(b) + 4*f(b)?
-2*b + 2
Let b = 275 + -286. Suppose i - 4 = -i. Let l(c) = i*c + 4*c - 2*c. Let h(m) = 7*m. Calculate b*l(o) + 6*h(o).
-2*o
Let h(x) = 9*x + 4. Let a(u) be the second derivative of 4*u + 0 + u**2 + 2/3*u**3. What is 5*a(d) - 2*h(d)?
2*d + 2
Let k(v) = -2*v**3 + 6*v**2 + 4*v + 6. Let l(r) = r**2 + r + 1. Give -2*k(b) + 12*l(b).
4*b**3 + 4*b
Let u(o) = -7*o**3 + 2*o**2 + 2*o + 2. Let l(h) = 155*h**3 - 45*h**2 - 45*h - 45. Calculate 4*l(g) + 90*u(g).
-10*g**3
Let b(h) = -1. Let q(z) = -27*z - 108. Give -108*b(j) + q(j).
-27*j
Let u(a) = 2*a**2 - 2*a + 3. Suppose 2 = 2*c - 4*l, 0 = -2*c - 3*c + 2*l - 3. Let o(p) = -1. Calculate c*u(y) - o(y).
-2*y**2 + 2*y - 2
Let d(q) = -38*q + 33*q + 11 + 18*q. Let k(r) be the second derivative of r**3 + 5*r**2/2 + 2*r. What is -4*d(p) + 9*k(p)?
2*p + 1
Let z(t) = 11*t**2 + 8*t - 6. Let s(o) = 12*o**2 + 5*o + 1. Let m(u) = -u**2 - 1. Let n(v) = 5*m(v) + s(v). What is 8*n(g) - 5*z(g)?
g**2 - 2
Let j(d) = -14*d - 5. Let k(i) = -6*i**3 + 2*i + 1. Let h be k(-1). Let o(c) = -9*c - 3. What is h*j(b) - 8*o(b)?
2*b - 1
Let s = -10 + 5. Let p(k) = -2*k**3 - 5*k**2 + 5. Suppose 0 = -5*r - 3*m + 22, m = 5*r - 3 - 3. Let h(i) = -i**3 - 2*i**2 + 2. What is r*p(v) + s*h(v)?
v**3
Let m(n) = n. Let g(y) = -5*y. Determine -5*g(l) - 5*m(l).
20*l
Let g(w) = -5 - 3*w + 5*w + 0*w. Let x(j) be the second derivative of -5/6*j**3 + j + 7*j**2 + 0. Give 11*g(c) + 4*x(c).
2*c + 1
Let w(h) = h + 6. Let a be ((-1)/(7 - 6))/((-2)/2). Let d(v) = -3. Let u(i) = -16. Let f(c) = -11*d(c) + 2*u(c). Give a*w(o) - 6*f(o).
o
Let v(i) = -i**3 + i**2 - 3. Let b be v(0). Let o(a) = a - 1. Let d(g) = 2*g - 1. Give b*d(p) + 4*o(p).
-2*p - 1
Let i(d) = -2*d + 1. Let t(b) = -3*b + 1. Let s(r) = 10*i(r) - 6*t(r). Let v(j) = -3 + 2 - j + 3. Give -4*s(q) + 7*v(q).
q - 2
Suppose -3*z - 2 = -4*i + 6*i, 3*i - 14 = 4*z. Let j(h) = 4*h**3 - 7*h**2 + 7*h. Let a(y) = y**3 - 2*y**2
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{
"pile_set_name": "DM Mathematics"
}
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